General Contrasts of Regression Coefficients

This function computes one or more contrasts of the estimated regression coefficients in a fit from one of the functions in rms, along with standard errors, confidence limits, t or Z statistics, P-values. General contrasts are handled by obtaining the design matrix for two sets of predictor settings (a, b) and subtracting the corresponding rows of the two design matrics to obtain a new contrast design matrix for testing the a - b differences. This allows for quite general contrasts (e.g., estimated differences in means between a 30 year old female and a 40 year old male). This can also be used to obtain a series of contrasts in the presence of interactions (e.g., female:male log odds ratios for several ages when the model contains age by sex interaction). Another use of contrast is to obtain center-weighted (Type III test) and subject-weighted (Type II test) estimates in a model containing treatment by center interactions. For the latter case, you can specify type="average" and an optional weights vector to average the within-center treatment contrasts. The design contrast matrix computed by contrast.rms can be used by other functions.

When the model was fitted by a Bayesian function such as blrm, highest posterior density intervals for contrasts are computed instead, along with the posterior probability that the contrast is positive. posterior.summary specifies whether posterior mean/median/mode is to be used for contrast point estimates.

contrast.rms also allows one to specify four settings to contrast, yielding contrasts that are double differences - the difference between the first two settings (a - b) and the last two (a2 - b2). This allows assessment of interactions.

If usebootcoef=TRUE, the fit was run through bootcov, and conf.type="individual", the confidence intervals are bootstrap nonparametric percentile confidence intervals, basic bootstrap, or BCa intervals, obtained on contrasts evaluated on all bootstrap samples.

By omitting the b argument, contrast can be used to obtain an average or weighted average of a series of predicted values, along with a confidence interval for this average. This can be useful for "unconditioning" on one of the predictors (see the next to last example).

Specifying type="joint", and specifying at least as many contrasts as needed to span the space of a complex test, one can make multiple degree of freedom tests flexibly and simply. Redundant contrasts will be ignored in the joint test. See the examples below. These include an example of an "incomplete interaction test" involving only two of three levels of a categorical variable (the test also tests the main effect).

When more than one contrast is computed, the list created by contrast.rms is suitable for plotting (with error bars or bands) with xYplot or Dotplot (see the last example before the type="joint" examples).

When fit is the result of a Bayesian model fit and fun is specified, contrast.rms operates altogether differently. a and b must both be specified and a2, b2 not specified. fun is evaluated on the estimates separately on a and b and the subtraction is deferred. So even in the absence of interactions, when fun is nonlinear, the settings of factors (predictors) will not cancel out and estimates of differences will be covariate-specific (unless there are no covariates in the model besides the one being varied to get from a to b).

That the the use of offsets to compute profile confidence intervals prevents this function from working with certain models that use offsets for other purposes, e.g., Poisson models with offsets to account for population size.

contrast(fit, ...)
# S3 method for class 'rms'
contrast(fit, a, b, a2, b2, ycut=NULL, cnames=NULL,
         fun=NULL, funint=TRUE,
         type=c("individual", "average", "joint"),
         conf.type=c("individual","simultaneous","profile"), usebootcoef=TRUE,
         boot.type=c("percentile","bca","basic"),
         posterior.summary=c('mean', 'median', 'mode'),
         weights="equal", conf.int=0.95, tol=1e-7, expand=TRUE,
         se_factor=4, plot_profile=FALSE, ...)
# S3 method for class 'contrast.rms'
print(x, X=FALSE,
       fun=function(u)u, jointonly=FALSE, prob=0.95, ...)

Arguments

fit: a fit of class "rms"
a: a list containing settings for all predictors that you do not wish to set to default (adjust-to) values. Usually you will specify two variables in this list, one set to a constant and one to a sequence of values, to obtain contrasts for the sequence of values of an interacting factor. The gendata function will generate the necessary combinations and default values for unspecified predictors, depending on the expand argument.
b: another list that generates the same number of observations as a, unless one of the two lists generates only one observation. In that case, the design matrix generated from the shorter list will have its rows replicated so that the contrasts assess several differences against the one set of predictor values. This is useful for comparing multiple treatments with control, for example. If b is missing, the design matrix generated from a is analyzed alone.
a2: an optional third list of settings of predictors
b2: an optional fourth list of settings of predictors. Mandatory if a2 is given.
ycut: used of the fit is a constrained partial proportional odds model fit, to specify the single value or vector of values (corresponding to the multiple contrasts) of the response variable to use in forming contrasts. When there is non-proportional odds, odds ratios will vary over levels of the response variable. When there are multiple contrasts and only one value is given for ycut, that value will be propagated to all contrasts. To show the effect of non-proportional odds, let ycut vary.
cnames: vector of character strings naming the contrasts when type!="average". Usually cnames is not necessary as contrast.rms tries to name the contrasts by examining which predictors are varying consistently in the two lists. cnames will be needed when you contrast "non-comparable" settings, e.g., you compare list(treat="drug", age=c(20,30)) with list(treat="placebo"), age=c(40,50))
fun: a function to evaluate on the linear predictor for each of a and b. Applies to Bayesian model fits. Also, a function to transform the contrast, SE, and lower and upper confidence limits before printing. For example, specify fun=exp to anti-log them for logistic models.
type: set type="average" to average the individual contrasts (e.g., to obtain a Type II or III contrast). Set type="joint" to jointly test all non-redundant contrasts with a multiple degree of freedom test and no averaging.
conf.type: The default type of confidence interval computed for a given individual (1 d.f.) contrast is a pointwise confidence interval. Set conf.type="simultaneous" to use the multcomp package's glht and confint functions to compute confidence intervals with simultaneous (family-wise) coverage, thus adjusting for multiple comparisons. Note that individual P-values are not adjusted for multiplicity.
usebootcoef: If fit was the result of bootcov but you want to use the bootstrap covariance matrix instead of the nonparametric percentile, basic, or BCa method for confidence intervals (which uses all the bootstrap coefficients), specify usebootcoef=FALSE.
boot.type: set to 'bca' to compute BCa confidence limits or 'basic' to use the basic bootstrap. The default is to compute percentile intervals
posterior.summary: By default the posterior mean is used. Specify posterior.summary='median' to instead use the posterior median and likewise posterior.summary='mode'. Unlike other functions, contrast.rms does not default to 'mode' because point estimates come from contrasts and not the original model coefficients point estimates.
weights: a numeric vector, used when type="average", to obtain weighted contrasts
conf.int: confidence level for confidence intervals for the contrasts (HPD interval probability for Bayesian analyses)
tol: tolerance for qr function for determining which contrasts are redundant, and for inverting the covariance matrix involved in a joint test. This should be larger than the usual tolerance chosen when just inverting a matrix.
expand: set to FALSE to have gendata not generate all possible combinations of predictor settings. This is useful when getting contrasts over irregular predictor settings.
se_factor: multiplier for a contrast's standard error used for root finding of the profile likelihood confidence limits when conf.type='profile'. The search is over the maximum likelihood estimate plus or minus se_factor times the standard error. This approach will fail when the Hauck-Donner effect is in play, because the standard error blows up when regression coefficients are estimating infinity.
plot_profile: when conf.type='profile' specify plot_profile to plot the change in deviance from the full model as a function of the contrast estimate, separately by each row of the contrast matrix. The contrast estimate varies from the maximum likelihood estimate plus or minus se_factor times the standard error, with a regular grid of 50 points.
...: passed to print for main output. A useful thing to pass is digits=4. Used also to pass convergence criteria arguments to fitting functions when conf.type is "profile".
x: result of contrast
X: set X=TRUE to print design matrix used in computing the contrasts (or the average contrast)
funint: set to FALSE if fun is not a function such as the result of Mean, Quantile, or ExProb that contains an intercepts argument
jointonly: set to FALSE to omit printing of individual contrasts
prob: highest posterior density interval probability when the fit was Bayesian and fun was specified to contrast.rms

Value

a list of class "contrast.rms" containing the elements Contrast, SE, Z, var, df.residual Lower, Upper, Pvalue, X, cnames, redundant, which denote the contrast estimates, standard errors, Z or t-statistics, variance matrix, residual degrees of freedom (this is NULL if the model was not ols), lower and upper confidence limits, 2-sided P-value, design matrix, contrast names (or NULL), and a logical vector denoting which contrasts are redundant with the other contrasts. If there are any redundant contrasts, when the results of contrast are printed, and asterisk is printed at the start of the corresponding lines. The object also contains ctype indicating what method was used for compute confidence intervals.

Author

Frank Harrell
Department of Biostatistics
Vanderbilt University School of Medicine
fh@fharrell.com

Examples

require(ggplot2)
set.seed(1)
age <- rnorm(200,40,12)
sex <- factor(sample(c('female','male'),200,TRUE))
logit <- (sex=='male') + (age-40)/5
y <- ifelse(runif(200) <= plogis(logit), 1, 0)
f <- lrm(y ~ pol(age,2)*sex)
anova(f)
#>                 Wald Statistics          Response: y 
#> 
#>  Factor                                   Chi-Square d.f. P     
#>  age  (Factor+Higher Order Factors)       47.14      4    <.0001
#>   All Interactions                         1.54      2    0.4633
#>   Nonlinear (Factor+Higher Order Factors)  1.83      2    0.4012
#>  sex  (Factor+Higher Order Factors)       12.76      3    0.0052
#>   All Interactions                         1.54      2    0.4633
#>  age * sex  (Factor+Higher Order Factors)  1.54      2    0.4633
#>   Nonlinear                                0.18      1    0.6745
#>   Nonlinear Interaction : f(A,B) vs. AB    0.18      1    0.6745
#>  TOTAL NONLINEAR                           1.83      2    0.4012
#>  TOTAL NONLINEAR + INTERACTION             3.10      3    0.3765
#>  TOTAL                                    50.01      5    <.0001
# Compare a 30 year old female to a 40 year old male
# (with or without age x sex interaction in the model)
contrast(f, list(sex='female', age=30), list(sex='male', age=40))
#>    Contrast  S.E. Lower Upper     Z Pr(>|z|)
#> 11    -3.96 0.854 -5.63 -2.28 -4.64        0
#> 
#> Confidence intervals are 0.95 individual intervals
# Test for interaction between age and sex, duplicating anova
contrast(f, list(sex='female', age=30),
            list(sex='male',   age=30),
            list(sex='female', age=c(40,50)),
            list(sex='male',   age=c(40,50)), type='joint')
#>    Contrast  S.E. Lower Upper     Z Pr(>|z|)
#> 11   -0.397 0.959 -2.28  1.48 -0.41    0.679
#> 22   -1.288 1.253 -3.74  1.17 -1.03    0.304
#> 
#> Joint test for all contrasts=0:
#> 
#> Chi-square=1.54 with 2 d.f.  P=0.463
#> 
#> Confidence intervals are 0.95 individual intervals
# Duplicate overall sex effect in anova with 3 d.f.
contrast(f, list(sex='female', age=c(30,40,50)),
            list(sex='male',   age=c(30,40,50)), type='joint')
#>   age Contrast  S.E. Lower  Upper     Z Pr(>|z|)
#> 1  30   -1.839 0.868 -3.54 -0.138 -2.12   0.0341
#> 2  40   -1.441 0.477 -2.38 -0.506 -3.02   0.0025
#> 3  50   -0.551 0.791 -2.10  0.999 -0.70   0.4862
#> 
#> Joint test for all contrasts=0:
#> 
#> Chi-square=12.8 with 3 d.f.  P=0.0052
#> 
#> Confidence intervals are 0.95 individual intervals
# For females get an array of odds ratios against age=40
k <- contrast(f, list(sex='female', age=30:50),
                 list(sex='female', age=40))
print(k, fun=exp)
#>         sex Contrast  Lower  Upper     Z Pr(>|z|)
#>  1   female   0.0808 0.0160  0.408 -3.05   0.0023
#>  2   female   0.1051 0.0263  0.420 -3.19   0.0014
#>  3*  female   0.1364 0.0423  0.440 -3.34   0.0009
#>  4*  female   0.1766 0.0668  0.467 -3.49   0.0005
#>  5*  female   0.2280 0.1033  0.503 -3.66   0.0003
#>  6*  female   0.2936 0.1569  0.550 -3.83   0.0001
#>  7*  female   0.3771 0.2340  0.608 -4.01   0.0001
#>  8*  female   0.4831 0.3434  0.680 -4.18   0.0000
#>  9*  female   0.6173 0.4964  0.768 -4.34   0.0000
#> 10*  female   0.7867 0.7084  0.874 -4.49   0.0000
#> 11*  female   1.0000 1.0000  1.000   NaN      NaN
#> 12*  female   1.2679 1.1481  1.400  4.69   0.0000
#> 13*  female   1.6034 1.3183  1.950  4.73   0.0000
#> 14*  female   2.0225 1.5091  2.711  4.71   0.0000
#> 15*  female   2.5446 1.7171  3.771  4.65   0.0000
#> 16*  female   3.1931 1.9359  5.267  4.55   0.0000
#> 17*  female   3.9966 2.1569  7.406  4.40   0.0000
#> 18*  female   4.9894 2.3691 10.508  4.23   0.0000
#> 19*  female   6.2128 2.5602 15.076  4.04   0.0001
#> 20*  female   7.7162 2.7179 21.907  3.84   0.0001
#> 21*  female   9.5586 2.8308 32.276  3.64   0.0003
#> 
#> Redundant contrasts are denoted by *
#> 
#> Confidence intervals are 0.95 individual intervals
# Plot odds ratios with pointwise 0.95 confidence bands using log scale
k <- as.data.frame(k[c('Contrast','Lower','Upper')])
ggplot(k, aes(x=30:50, y=exp(Contrast))) + geom_line() +
   geom_ribbon(aes(ymin=exp(Lower), ymax=exp(Upper)),
               alpha=0.15, linetype=0) +
   scale_y_continuous(trans='log10', n.breaks=10,
               minor_breaks=c(seq(0.1, 1, by=.1), seq(1, 10, by=.5))) +
  xlab('Age') + ylab('OR against age 40')


# For an ordinal model with 3 variables (x1 is quadratic, x2 & x3 linear)
# Get a 1 d.f. likelihood ratio (LR) test for x1=1 vs x1=0.25
# For the other variables get contrasts and LR tests that are the
# ordinary ones for their original coefficients.
# Get 0.95 profile likelihood confidence intervals for the x1 contrast
# and for the x2 and x3 coefficients
set.seed(7)
x1 <- runif(50)
x2 <- runif(50)
x3 <- runif(50)
dd <- datadist(x1, x2, x3); options(datadist='dd')
y <- x1 + runif(50)   # need x=TRUE,y=TRUE for profile likelihood
f <- orm(y ~ pol(x1, 2) + x2 + x3, x=TRUE, y=TRUE)
#> Error in Design(X, formula = formula): dataset dd not found for options(datadist=)
a <- list(x1=c(   1,0,0), x2=c(0,1,0), x3=c(0,0,1))
b <- list(x1=c(0.25,0,0), x2=c(0,0,0), x3=c(0,0,0))
k <- contrast(f, a, b, expand=FALSE)      # Wald intervals and tests
#> Error in gendata(structure(list(freq = c(`0` = 86L, `1` = 114L), ymedian = 1,     yunique = c(0, 1), sumwty = NULL, stats = c(Obs = 200, `Max Deriv` = 6.87577994540334e-09,     `Model L.R.` = 107.745450959949, d.f. = 5, P = 0, C = 0.88453692370461,     Dxy = 0.769073847409221, Gamma = 0.769073847409221, `Tau-a` = 0.378894472361809,     R2 = 0.559046846429426, `R2(200)` = 0.41650958539332, `R2(5,200)` = 0.401738455222703,     `R2(147.1)` = 0.519372724956075, `R2(5,147.1)` = 0.502750554916659,     Brier = 0.135791458301014, g = 2.60708044209521, gr = 13.5594055369759,     gp = 0.381760521241446), fail = FALSE, coefficients = c(Intercept = -11.7373652992835,     age = 0.341922418110676, `age^2` = -0.0012908651755663, `sex=male` = 0.0676155170618859,     `age * sex=male` = 0.133088568923097, `age^2 * sex=male` = -0.0024685364327573    ), info.matrix = list(a = structure(c(26.6835161577173, 0    ), dim = 1:2), b = structure(c(41479.6513167782, 1715437.30791044,     495.110603486896, 19274.7057831482, 786154.320077921, 1715437.30791044,     73283579.4628381, 19274.7057831482, 786154.320077921, 33666194.9988554,     495.110603486896, 19274.7057831482, 13.2902411829258, 495.110603486896,     19274.7057831482, 19274.7057831482, 786154.320077921, 495.110603486896,     19274.7057831482, 786154.320077921, 786154.320077921, 33666194.9988554,     19274.7057831482, 786154.320077921, 33666194.9988554), dim = c(5L,     5L)), ab = structure(c(1035.47490472854, 41479.6513167782,     13.2902411829258, 495.110603486896, 19274.7057831482), dim = c(1L,     5L)), iname = "Intercept", xname = c("age", "age^2", "sex=male",     "age * sex=male", "age^2 * sex=male")), u = c(Intercept = -1.96145322206576e-11,     age = -4.42923919763416e-10, `age^2` = -6.87577994540334e-09,     `sex=male` = 3.97903932025656e-13, `age * sex=male` = 2.50111042987555e-11,     `age^2 * sex=male` = 1.55705492943525e-09), iter = 7L, deviance = c(273.325965429666,     165.580514469717), non.slopes = 1L, linear.predictors = c(-0.206785651925323,     0.393803023434844, -0.809755073460485, 3.2738462155049, 1.94590521001035,     -0.764461757560349, 1.22590142958865, 2.56445794330503, 1.46146668529034,     0.626559768036756, 3.23968765115713, 0.962344872830695, -0.192362987621269,     -5.97080978317339, 2.98293045545912, -0.254910759312091,     -0.172267878647387, 2.41155060485275, 2.66781661543924, 2.36661225775942,     2.34896673440963, 2.62001099873393, 1.46856053925684, -6.55867672604369,     1.57781407694612, -0.287182115485509, -0.576537853262579,     -2.9308617310276, 0.19201617332185, 2.09504629503496, 3.15744584260024,     -0.4221842309395, 0.956439550734075, 1.20156785664415, -4.42202060303691,     0.354617159032873, 0.406983580071214, -0.296370798453426,     2.79951137507944, 2.59622411937977, -0.602053382951388, -0.863372106287096,     2.51010470562714, 2.31193761561777, -2.18651864435001, -2.24504910569695,     0.893543204739888, 2.60298439310507, -0.449940431844542,     2.25318567752523, 2.06233059635078, -1.9482255337287, 0.829428810376772,     -3.59725485250324, 3.5963709409707, 3.33369289605572, 0.474745545450093,     -1.45794258379506, 2.33127855584916, -0.516017910668131,     5.67985328799081, -0.238516105280686, 1.76101644531781, -0.0458049527851507,     -2.35716012959171, 1.69113667133697, -4.22237670213668, 3.67200710349009,     0.308674152375724, 3.30348827210011, 1.19389938016044, -0.441781617155765,     2.39082308369319, -2.96314900410425, -4.00819198926507, 0.693012873772153,     0.28229650866351, -0.122687534374684, 0.0860213708906095,     -0.105243213617268, -0.0485648808347054, -0.51637928819024,     3.02781325423009, -3.12691372861466, 2.36667722703684, 1.95186945166065,     2.70861005757122, -1.01418597453969, 2.01527691547501, 0.625813596654456,     -1.73425361499983, 3.05162183578657, 2.94705281412864, 1.78830686099723,     3.95051690537854, 1.41558332328168, -4.08474052182554, -0.0610186547536404,     -2.05700340814951, -1.5232540529361, -0.18994816978093, 1.40275566888029,     -1.03839050756779, 1.6325828079001, -2.08012555040681, 3.32041992345322,     1.83119830887048, 2.77045140515914, 2.03911659457527, 3.30137832919055,     -0.232539397154019, -1.4875437369562, 3.59464242556166, -0.274240440202307,     0.85871006503166, -1.27947293973213, 0.591075860727459, 0.689817782826298,     1.24402556323097, 0.927806770389562, 0.119053522819868, 3.1476153222381,     -0.748932546082433, -0.646066771028927, -0.414648896448151,     2.53095816541738, 1.15888648065766, 1.23618333660693, -0.361323413294338,     0.580639506340219, 1.43948969150576, -1.87681569151097, 1.34375617365993,     -4.90284894587538, 0.734610322862386, -4.96481059725017,     -1.00463851791335, -1.69063776421617, -2.07239021756079,     1.19491742110135, -6.28949360917643, 3.02658565141249, -3.66669216231452,     -1.49326828417786, -3.55314568361894, -2.38086574290945,     3.32185392911571, -0.0760908613299378, -2.26985131495617,     -3.57213411915183, 2.14732088060657, 1.27665006394565, -1.05555477321072,     -1.09532280000731, -2.99255651852837, -3.41991962708685,     2.55217278843668, -1.97680660531376, -2.61691573760276, 3.33290828829831,     2.1067489732328, -0.819886179510558, 2.69720904181453, 2.7438849872541,     -0.186844511243725, 3.29413337650945, -0.868298777941595,     -2.76162969152114, -0.543265912865927, 1.72631457448787,     5.49366105139093, 0.175067215116876, 1.14409628746264, -0.3479128904891,     0.556824287336589, 1.24237849223709, 2.62684226265526, 5.01677525717589,     2.89261589002649, 3.05165363248993, -3.9339944969703, 2.84901950785786,     1.74934965129693, -4.7279964481413, 2.25820261102325, -0.58518525043033,     3.66976319132028, -0.604022389355388, 0.315833683853882,     -1.08525398430232, 0.928323913089697, 0.995402482190602,     -0.504386915727354, 2.67877161267736, -2.00066883858273,     -1.47035307490027, 3.61531969509489, -3.22689875277125, 1.02242724542283,     -1.24418706838578), penalty.matrix = NULL, weights = NULL,     xbar = NULL, xtrans = FALSE, R = NULL, Ri = NULL, opt_method = "NR",     call = lrm(formula = y ~ pol(age, 2) * sex), Design = list(        name = c("age", "sex", "age * sex"), label = c("age",         "sex", "age * sex"), units = c(age = "", sex = ""), colnames = c("age",         "age^2", "sex=male", "age * sex=male", "age^2 * sex=male"        ), mmcolnames = c("pol(age, 2)age", "pol(age, 2)age^2",         "sexmale", "pol(age, 2)age:sexmale", "pol(age, 2)age^2:sexmale"        ), assume = c("polynomial", "category", "interaction"        ), assume.code = c(2L, 5L, 9L), parms = list(age = 2,             sex = c("female", "male"), `age * sex` = structure(c(1,             2, 0, 0, 0, 0, 1, 0, 0), dim = c(3L, 3L), dimnames = list(                NULL, c("parms", "", "")))), limits = list(),         values = list(), nonlinear = list(age = c(FALSE, TRUE        ), sex = FALSE, `age * sex` = c(FALSE, TRUE)), tex = list(),         interactions = structure(c(1, 2, 0), dim = c(3L, 1L))),     scale.pred = c("log odds", "Odds Ratio"), sformula = y ~         pol(age, 2) * sex, terms = y ~ pol(age, 2) * sex, assign = list(        `pol(age, 2)` = 2:3, sex = 4L, `pol(age, 2):sex` = 5:6),     na.action = NULL, fail = FALSE, interceptRef = 1, override_vcov_intercept = "mid"), class = c("lrm", "rms", "glm")), factors = list(x1 = c(1, 0, 0), x2 = c(0, 1, 0), x3 = c(0, 0, 1)), expand = FALSE): factor(s) not in design: x1 x2 x3
k; k$X[1,]
#>    Contrast  Lower  Upper
#> 1    -2.516 -4.135 -0.897
#> 2    -2.252 -3.638 -0.867
#> 3    -1.992 -3.162 -0.822
#> 4    -1.734 -2.706 -0.761
#> 5    -1.478 -2.270 -0.687
#> 6    -1.226 -1.852 -0.599
#> 7    -0.975 -1.452 -0.498
#> 8    -0.728 -1.069 -0.386
#> 9    -0.482 -0.700 -0.265
#> 10   -0.240 -0.345 -0.135
#> 11    0.000  0.000  0.000
#> 12    0.237  0.138  0.337
#> 13    0.472  0.276  0.668
#> 14    0.704  0.412  0.997
#> 15    0.934  0.541  1.327
#> 16    1.161  0.661  1.661
#> 17    1.385  0.769  2.002
#> 18    1.607  0.862  2.352
#> 19    1.827  0.940  2.713
#> 20    2.043  1.000  3.087
#> 21    2.257  1.041  3.474
#> NULL
summary(f, x1=c(.25, 1), x2=0:1, x3=0:1)  # Wald intervals
#> Error in summary.rms(f, x1 = c(0.25, 1), x2 = 0:1, x3 = 0:1): factor name(s) not in the design: x1 x2 x3
anova(f, test='LR')                       # LR tests
#> Error in anova.rms(f, test = "LR"): must specify x=TRUE, y=TRUE when fitting model to use LR test
contrast(f, a, b, expand=FALSE, conf.type='profile', plot_profile=TRUE)
#> Error in gendata(structure(list(freq = c(`0` = 86L, `1` = 114L), ymedian = 1,     yunique = c(0, 1), sumwty = NULL, stats = c(Obs = 200, `Max Deriv` = 6.87577994540334e-09,     `Model L.R.` = 107.745450959949, d.f. = 5, P = 0, C = 0.88453692370461,     Dxy = 0.769073847409221, Gamma = 0.769073847409221, `Tau-a` = 0.378894472361809,     R2 = 0.559046846429426, `R2(200)` = 0.41650958539332, `R2(5,200)` = 0.401738455222703,     `R2(147.1)` = 0.519372724956075, `R2(5,147.1)` = 0.502750554916659,     Brier = 0.135791458301014, g = 2.60708044209521, gr = 13.5594055369759,     gp = 0.381760521241446), fail = FALSE, coefficients = c(Intercept = -11.7373652992835,     age = 0.341922418110676, `age^2` = -0.0012908651755663, `sex=male` = 0.0676155170618859,     `age * sex=male` = 0.133088568923097, `age^2 * sex=male` = -0.0024685364327573    ), info.matrix = list(a = structure(c(26.6835161577173, 0    ), dim = 1:2), b = structure(c(41479.6513167782, 1715437.30791044,     495.110603486896, 19274.7057831482, 786154.320077921, 1715437.30791044,     73283579.4628381, 19274.7057831482, 786154.320077921, 33666194.9988554,     495.110603486896, 19274.7057831482, 13.2902411829258, 495.110603486896,     19274.7057831482, 19274.7057831482, 786154.320077921, 495.110603486896,     19274.7057831482, 786154.320077921, 786154.320077921, 33666194.9988554,     19274.7057831482, 786154.320077921, 33666194.9988554), dim = c(5L,     5L)), ab = structure(c(1035.47490472854, 41479.6513167782,     13.2902411829258, 495.110603486896, 19274.7057831482), dim = c(1L,     5L)), iname = "Intercept", xname = c("age", "age^2", "sex=male",     "age * sex=male", "age^2 * sex=male")), u = c(Intercept = -1.96145322206576e-11,     age = -4.42923919763416e-10, `age^2` = -6.87577994540334e-09,     `sex=male` = 3.97903932025656e-13, `age * sex=male` = 2.50111042987555e-11,     `age^2 * sex=male` = 1.55705492943525e-09), iter = 7L, deviance = c(273.325965429666,     165.580514469717), non.slopes = 1L, linear.predictors = c(-0.206785651925323,     0.393803023434844, -0.809755073460485, 3.2738462155049, 1.94590521001035,     -0.764461757560349, 1.22590142958865, 2.56445794330503, 1.46146668529034,     0.626559768036756, 3.23968765115713, 0.962344872830695, -0.192362987621269,     -5.97080978317339, 2.98293045545912, -0.254910759312091,     -0.172267878647387, 2.41155060485275, 2.66781661543924, 2.36661225775942,     2.34896673440963, 2.62001099873393, 1.46856053925684, -6.55867672604369,     1.57781407694612, -0.287182115485509, -0.576537853262579,     -2.9308617310276, 0.19201617332185, 2.09504629503496, 3.15744584260024,     -0.4221842309395, 0.956439550734075, 1.20156785664415, -4.42202060303691,     0.354617159032873, 0.406983580071214, -0.296370798453426,     2.79951137507944, 2.59622411937977, -0.602053382951388, -0.863372106287096,     2.51010470562714, 2.31193761561777, -2.18651864435001, -2.24504910569695,     0.893543204739888, 2.60298439310507, -0.449940431844542,     2.25318567752523, 2.06233059635078, -1.9482255337287, 0.829428810376772,     -3.59725485250324, 3.5963709409707, 3.33369289605572, 0.474745545450093,     -1.45794258379506, 2.33127855584916, -0.516017910668131,     5.67985328799081, -0.238516105280686, 1.76101644531781, -0.0458049527851507,     -2.35716012959171, 1.69113667133697, -4.22237670213668, 3.67200710349009,     0.308674152375724, 3.30348827210011, 1.19389938016044, -0.441781617155765,     2.39082308369319, -2.96314900410425, -4.00819198926507, 0.693012873772153,     0.28229650866351, -0.122687534374684, 0.0860213708906095,     -0.105243213617268, -0.0485648808347054, -0.51637928819024,     3.02781325423009, -3.12691372861466, 2.36667722703684, 1.95186945166065,     2.70861005757122, -1.01418597453969, 2.01527691547501, 0.625813596654456,     -1.73425361499983, 3.05162183578657, 2.94705281412864, 1.78830686099723,     3.95051690537854, 1.41558332328168, -4.08474052182554, -0.0610186547536404,     -2.05700340814951, -1.5232540529361, -0.18994816978093, 1.40275566888029,     -1.03839050756779, 1.6325828079001, -2.08012555040681, 3.32041992345322,     1.83119830887048, 2.77045140515914, 2.03911659457527, 3.30137832919055,     -0.232539397154019, -1.4875437369562, 3.59464242556166, -0.274240440202307,     0.85871006503166, -1.27947293973213, 0.591075860727459, 0.689817782826298,     1.24402556323097, 0.927806770389562, 0.119053522819868, 3.1476153222381,     -0.748932546082433, -0.646066771028927, -0.414648896448151,     2.53095816541738, 1.15888648065766, 1.23618333660693, -0.361323413294338,     0.580639506340219, 1.43948969150576, -1.87681569151097, 1.34375617365993,     -4.90284894587538, 0.734610322862386, -4.96481059725017,     -1.00463851791335, -1.69063776421617, -2.07239021756079,     1.19491742110135, -6.28949360917643, 3.02658565141249, -3.66669216231452,     -1.49326828417786, -3.55314568361894, -2.38086574290945,     3.32185392911571, -0.0760908613299378, -2.26985131495617,     -3.57213411915183, 2.14732088060657, 1.27665006394565, -1.05555477321072,     -1.09532280000731, -2.99255651852837, -3.41991962708685,     2.55217278843668, -1.97680660531376, -2.61691573760276, 3.33290828829831,     2.1067489732328, -0.819886179510558, 2.69720904181453, 2.7438849872541,     -0.186844511243725, 3.29413337650945, -0.868298777941595,     -2.76162969152114, -0.543265912865927, 1.72631457448787,     5.49366105139093, 0.175067215116876, 1.14409628746264, -0.3479128904891,     0.556824287336589, 1.24237849223709, 2.62684226265526, 5.01677525717589,     2.89261589002649, 3.05165363248993, -3.9339944969703, 2.84901950785786,     1.74934965129693, -4.7279964481413, 2.25820261102325, -0.58518525043033,     3.66976319132028, -0.604022389355388, 0.315833683853882,     -1.08525398430232, 0.928323913089697, 0.995402482190602,     -0.504386915727354, 2.67877161267736, -2.00066883858273,     -1.47035307490027, 3.61531969509489, -3.22689875277125, 1.02242724542283,     -1.24418706838578), penalty.matrix = NULL, weights = NULL,     xbar = NULL, xtrans = FALSE, R = NULL, Ri = NULL, opt_method = "NR",     call = lrm(formula = y ~ pol(age, 2) * sex), Design = list(        name = c("age", "sex", "age * sex"), label = c("age",         "sex", "age * sex"), units = c(age = "", sex = ""), colnames = c("age",         "age^2", "sex=male", "age * sex=male", "age^2 * sex=male"        ), mmcolnames = c("pol(age, 2)age", "pol(age, 2)age^2",         "sexmale", "pol(age, 2)age:sexmale", "pol(age, 2)age^2:sexmale"        ), assume = c("polynomial", "category", "interaction"        ), assume.code = c(2L, 5L, 9L), parms = list(age = 2,             sex = c("female", "male"), `age * sex` = structure(c(1,             2, 0, 0, 0, 0, 1, 0, 0), dim = c(3L, 3L), dimnames = list(                NULL, c("parms", "", "")))), limits = list(),         values = list(), nonlinear = list(age = c(FALSE, TRUE        ), sex = FALSE, `age * sex` = c(FALSE, TRUE)), tex = list(),         interactions = structure(c(1, 2, 0), dim = c(3L, 1L))),     scale.pred = c("log odds", "Odds Ratio"), sformula = y ~         pol(age, 2) * sex, terms = y ~ pol(age, 2) * sex, assign = list(        `pol(age, 2)` = 2:3, sex = 4L, `pol(age, 2):sex` = 5:6),     na.action = NULL, fail = FALSE, interceptRef = 1, override_vcov_intercept = "mid"), class = c("lrm", "rms", "glm")), factors = list(x1 = c(1, 0, 0), x2 = c(0, 1, 0), x3 = c(0, 0, 1)), expand = FALSE): factor(s) not in design: x1 x2 x3
options(datadist=NULL)


# For a model containing two treatments, centers, and treatment
# x center interaction, get 0.95 confidence intervals separately
# by center
center <- factor(sample(letters[1 : 8], 500, TRUE))
treat  <- factor(sample(c('a','b'), 500, TRUE))
y      <- 8*(treat == 'b') + rnorm(500, 100, 20)
f <- ols(y ~ treat*center)


lc <- levels(center)
contrast(f, list(treat='b', center=lc),
            list(treat='a', center=lc))
#>   center Contrast S.E. Lower Upper    t Pr(>|t|)
#> 1      a    16.17 4.84  6.66  25.7 3.34   0.0009
#> 2      b     3.11 5.09 -6.89  13.1 0.61   0.5418
#> 3      c     1.96 4.73 -7.32  11.2 0.41   0.6784
#> 4      d     2.81 4.50 -6.03  11.7 0.62   0.5323
#> 5      e    14.05 5.42  3.39  24.7 2.59   0.0099
#> 6      f    10.27 5.28 -0.11  20.6 1.94   0.0525
#> 7      g     4.79 4.50 -4.05  13.6 1.06   0.2876
#> 8      h     6.41 5.19 -3.79  16.6 1.23   0.2178
#> 
#> Error d.f.= 484 
#> 
#> Confidence intervals are 0.95 individual intervals


# Get 'Type III' contrast: average b - a treatment effect over
# centers, weighting centers equally (which is almost always
# an unreasonable thing to do)
contrast(f, list(treat='b', center=lc),
            list(treat='a', center=lc),
         type='average')
#>   Contrast S.E. Lower Upper    t Pr(>|t|)  var
#> 1     7.44 1.75     4  10.9 4.25        0 3.07
#> 
#> Error d.f.= 484 
#> 
#> Confidence intervals are 0.95 individual intervals


# Get 'Type II' contrast, weighting centers by the number of
# subjects per center.  Print the design contrast matrix used.
k <- contrast(f, list(treat='b', center=lc),
                 list(treat='a', center=lc),
              type='average', weights=table(center))
print(k, X=TRUE)
#>   Contrast S.E. Lower Upper   t Pr(>|t|)  var
#> 1     7.13 1.74  3.71  10.5 4.1        0 3.02
#> 
#> Error d.f.= 484 
#> 
#> Confidence intervals are 0.95 individual intervals
#> 
#> Design Matrix for Contrasts
#> 
#>    treatb centerb centerc centerd centere centerf centerg centerh
#>  0      1       0       0       0       0       0       0       0
#>  treatb:centerb treatb:centerc treatb:centerd treatb:centere treatb:centerf
#>           0.116          0.132          0.146          0.104           0.11
#>  treatb:centerg treatb:centerh
#>           0.146           0.12
# Note: If other variables had interacted with either treat
# or center, we may want to list settings for these variables
# inside the list()'s, so as to not use default settings


# For a 4-treatment study, get all comparisons with treatment 'a'
treat  <- factor(sample(c('a','b','c','d'),  500, TRUE))
y      <- 8*(treat == 'b') + rnorm(500, 100, 20)
dd     <- datadist(treat, center); options(datadist='dd')
f <- ols(y ~ treat*center)
#> Error in Design(X, formula = formula): dataset dd not found for options(datadist=)
lt <- levels(treat)
contrast(f, list(treat=lt[-1]),
            list(treat=lt[ 1]),
         cnames=paste(lt[-1], lt[1], sep=':'), conf.int=1 - .05 / 3)
#> Error in Getlimi(name[i], Limval, need.all = TRUE): no limits defined by datadist for variable treat


# Compare each treatment with average of all others
for(i in 1 : length(lt)) {
  cat('Comparing with', lt[i], '\n\n')
  print(contrast(f, list(treat=lt[-i]),
                    list(treat=lt[ i]), type='average'))
}
#> Comparing with a 
#> 
#> Error in Getlimi(name[i], Limval, need.all = TRUE): no limits defined by datadist for variable treat
options(datadist=NULL)

# Six ways to get the same thing, for a variable that
# appears linearly in a model and does not interact with
# any other variables.  We estimate the change in y per
# unit change in a predictor x1.  Methods 4, 5 also
# provide confidence limits.  Method 6 computes nonparametric
# bootstrap confidence limits.  Methods 2-6 can work
# for models that are nonlinear or non-additive in x1.
# For that case more care is needed in choice of settings
# for x1 and the variables that interact with x1.


if (FALSE) { # \dontrun{
coef(fit)['x1']                            # method 1
diff(predict(fit, gendata(x1=c(0,1))))     # method 2
g <- Function(fit)                         # method 3
g(x1=1) - g(x1=0)
summary(fit, x1=c(0,1))                    # method 4
k <- contrast(fit, list(x1=1), list(x1=0)) # method 5
print(k, X=TRUE)
fit <- update(fit, x=TRUE, y=TRUE)         # method 6
b <- bootcov(fit, B=500)
contrast(fit, list(x1=1), list(x1=0))


# In a model containing age, race, and sex,
# compute an estimate of the mean response for a
# 50 year old male, averaged over the races using
# observed frequencies for the races as weights


f <- ols(y ~ age + race + sex)
contrast(f, list(age=50, sex='male', race=levels(race)),
         type='average', weights=table(race))

# For a Bayesian model get the highest posterior interval for the
# difference in two nonlinear functions of predicted values
# Start with the mean from a proportional odds model
g <- blrm(y ~ x)
M <- Mean(g)
contrast(g, list(x=1), list(x=0), fun=M)

# For the median we have to make sure that contrast can pass the
# per-posterior-draw vector of intercepts through
qu <- Quantile(g)
med <- function(lp, intercepts) qu(0.5, lp, intercepts=intercepts)
contrast(g, list(x=1), list(x=0), fun=med)
} # }


# Plot the treatment effect (drug - placebo) as a function of age
# and sex in a model in which age nonlinearly interacts with treatment
# for females only

set.seed(1)
n <- 800
treat <- factor(sample(c('drug','placebo'), n,TRUE))
sex   <- factor(sample(c('female','male'),  n,TRUE))
age   <- rnorm(n, 50, 10)
y     <- .05*age + (sex=='female')*(treat=='drug')*.05*abs(age-50) + rnorm(n)
f     <- ols(y ~ rcs(age,4)*treat*sex)
d     <- datadist(age, treat, sex); options(datadist='d')

# show separate estimates by treatment and sex

require(ggplot2)
ggplot(Predict(f, age, treat, sex='female'))
#> Error in value.chk(at, which(name == n), NA, np, lim): variable age does not have limits defined by datadist
ggplot(Predict(f, age, treat, sex='male'))
#> Error in value.chk(at, which(name == n), NA, np, lim): variable age does not have limits defined by datadist
ages  <- seq(35,65,by=5); sexes <- c('female','male')
w     <- contrast(f, list(treat='drug',    age=ages, sex=sexes),
                     list(treat='placebo', age=ages, sex=sexes))
# add conf.type="simultaneous" to adjust for having done 14 contrasts
xYplot(Cbind(Contrast, Lower, Upper) ~ age | sex, data=w,
       ylab='Drug - Placebo')

w <- as.data.frame(w[c('age','sex','Contrast','Lower','Upper')])
ggplot(w, aes(x=age, y=Contrast)) + geom_point() + facet_grid(sex ~ .) +
   geom_errorbar(aes(ymin=Lower, ymax=Upper), width=0)

ggplot(w, aes(x=age, y=Contrast)) + geom_line() + facet_grid(sex ~ .) +
   geom_ribbon(aes(ymin=Lower, ymax=Upper), width=0, alpha=0.15, linetype=0)
#> Warning: Ignoring unknown parameters: `width`

xYplot(Cbind(Contrast, Lower, Upper) ~ age, groups=sex, data=w,
       ylab='Drug - Placebo', method='alt bars')

options(datadist=NULL)


# Examples of type='joint' contrast tests

set.seed(1)
x1 <- rnorm(100)
x2 <- factor(sample(c('a','b','c'), 100, TRUE))
dd <- datadist(x1, x2); options(datadist='dd')
y  <- x1 + (x2=='b') + rnorm(100)

# First replicate a test statistic from anova()

f <- ols(y ~ x2)
#> Error in Design(X, formula = formula): dataset dd not found for options(datadist=)
anova(f)
#> Warning: tests of nonlinear interaction with respect to single component 
#> variables ignore 3-way interactions
#>                 Analysis of Variance          Response: y 
#> 
#>  Factor                                           d.f. Partial SS MS    F    
#>  age  (Factor+Higher Order Factors)                12  221.75     18.48 16.51
#>   All Interactions                                  9   32.75      3.64  3.25
#>   Nonlinear (Factor+Higher Order Factors)           8   33.38      4.17  3.73
#>  treat  (Factor+Higher Order Factors)               8   29.35      3.67  3.28
#>   All Interactions                                  7   25.69      3.67  3.28
#>  sex  (Factor+Higher Order Factors)                 8   44.94      5.62  5.02
#>   All Interactions                                  7   38.59      5.51  4.93
#>  age * treat  (Factor+Higher Order Factors)         6   13.53      2.26  2.02
#>   Nonlinear (Factor+Higher Order Factors)           4    9.73      2.43  2.17
#>   Nonlinear Interaction : f(A,B) vs. AB             2    9.47      4.74  4.23
#>  age * sex  (Factor+Higher Order Factors)           6   24.86      4.14  3.70
#>   Nonlinear (Factor+Higher Order Factors)           4   21.31      5.33  4.76
#>   Nonlinear Interaction : f(A,B) vs. AB             2   18.82      9.41  8.41
#>  treat * sex  (Factor+Higher Order Factors)         4   21.54      5.38  4.81
#>  age * treat * sex  (Factor+Higher Order Factors)   3    8.26      2.75  2.46
#>   Nonlinear                                         2    4.92      2.46  2.20
#>  TOTAL NONLINEAR                                    8   33.38      4.17  3.73
#>  TOTAL INTERACTION                                 10   44.92      4.49  4.01
#>  TOTAL NONLINEAR + INTERACTION                     12   50.10      4.18  3.73
#>  REGRESSION                                        15  247.46     16.50 14.74
#>  ERROR                                            784  877.55      1.12      
#>  P     
#>  <.0001
#>  0.0007
#>  0.0003
#>  0.0011
#>  0.0019
#>  <.0001
#>  <.0001
#>  0.0613
#>  0.0703
#>  0.0149
#>  0.0012
#>  0.0008
#>  0.0002
#>  0.0008
#>  0.0617
#>  0.1119
#>  0.0003
#>  <.0001
#>  <.0001
#>  <.0001
#>        
contrast(f, list(x2=c('b','c')), list(x2='a'), type='joint')
#> Error in gendata(structure(list(coefficients = c(Intercept = 3.81130652398641, age = -0.0364542267418386, `age'` = 0.148834151508506, `age''` = -0.308632674204754, `treat=placebo` = -4.30283998912834, `sex=male` = -4.63346348145351, `age * treat=placebo` = 0.0998279739052187, `age' * treat=placebo` = -0.213913393443712, `age'' * treat=placebo` = 0.67409687853917, `age * sex=male` = 0.104212923375674, `age' * sex=male` = -0.158890866453074, `age'' * sex=male` = 0.246292360607691, `treat=placebo * sex=male` = 5.22560180935418, `age * treat=placebo * sex=male` = -0.114281894990881, `age' * treat=placebo * sex=male` = 0.190288298144725, `age'' * treat=placebo * sex=male` = -0.531569263503839), residuals = c(`1` = 0.473393142582745, `2` = -0.141559791486677, `3` = -0.788168025049547, `4` = 0.21054460675534, `5` = -0.052168426620235, `6` = 0.761192562957081, `7` = 0.294525427210084, `8` = 0.778992893373488, `9` = 0.417287271554842, `10` = 0.290026003424354, `11` = 0.77328492180143, `12` = -2.21856076335012, `13` = 0.620135735603211, `14` = -0.982486976113407, `15` = 0.389096872806126, `16` = 1.59165472133739, `17` = -0.409213518976697, `18` = -1.01752036715792, `19` = -0.181346995214259, `20` = 1.55581748864713, `21` = 0.139346338170896, `22` = 0.182066734033289, `23` = -0.618424389312127, `24` = -0.554081714108963, `25` = -0.171166590200338, `26` = -1.62301559024683, `27` = 1.27268310855217, `28` = -0.297789023228669, `29` = -1.9880106628626, `30` = -0.0368175155551034, `31` = -0.196960382730091, `32` = -1.51235368602801, `33` = 2.09241307495163, `34` = -1.07041636223387, `35` = -1.24454134745706, `36` = 0.576950328441049, `37` = 0.521488615375679, `38` = -0.229134628183383, `39` = 0.00400141112061388, `40` = -0.990190237387313, `41` = 1.2851274365228, `42` = 0.412589547973587, `43` = -0.787399977989638, `44` = 0.769006437456616, `45` = 0.988895426233647, `46` = -0.630295684848831, `47` = 0.562724155069554, `48` = -1.02269815967957, `49` = 2.02836178241615, `50` = 0.578962554814852, `51` = -0.0651227409029367, `52` = -0.482601584661845, `53` = -0.122710775094478, `54` = -0.745924474389847, `55` = 0.129232404629066, `56` = 0.69644800326718, `57` = -0.383650193614412, `58` = -1.03505602134916, `59` = -1.63181622155276, `60` = 0.629963250715442, `61` = 0.411215136470065, `62` = -0.127687518348258, `63` = -0.469469751114936, `64` = 0.318556449350774, `65` = -1.25267393092262, `66` = -1.39145828713222, `67` = -1.50318216737249, `68` = -0.570988109041285, `69` = 0.758112000717413, `70` = 0.764329699642486, `71` = -0.499944600769316, `72` = 1.3565106792036, `73` = -1.09027293012492, `74` = -0.393603041309807, `75` = -0.620376160132382, `76` = 0.265615235504436, `77` = -1.6461764280938, `78` = 1.2659298679682, `79` = 1.14059651838309, `80` = 0.791415273046844, `81` = 0.0314759530563674, `82` = 1.15851435544224, `83` = 0.471405507875407, `84` = 0.927581672841119, `85` = 0.164476032654289, `86` = 0.510352863388586, `87` = -2.33584512359756, `88` = -0.34780227924363, `89` = 1.10708324238512, `90` = 0.094798752715391, `91` = -1.23649875869111, `92` = -0.910146298085997, `93` = -0.683990253631276, `94` = 2.09490238568856, `95` = -0.0760714931017753, `96` = -0.573286663753271, `97` = -1.98908763334468, `98` = -1.81647642962243, `99` = 1.32438574368848, `100` = -0.86903377235127, `101` = 1.40641158624571, `102` = -0.360743393233509, `103` = -2.33335838717408, `104` = 2.17624702802662, `105` = -0.977495246805378, `106` = -0.408795499563846, `107` = 0.157762335504203, `108` = -0.133874450719822, `109` = -1.4245090565002, `110` = -1.53795672784485, `111` = 1.28342330422267, `112` = -0.905054646526503, `113` = 1.02311908315981, `114` = 1.67008317138642, `115` = -0.71401825217723, `116` = -0.578153505698901, `117` = -1.95986738456425, `118` = 1.89141370855209, `119` = -0.779653582026061, `120` = -0.0632922274198554, `121` = -1.27400237607834, `122` = 1.10713913145023, `123` = 1.57817020329863, `124` = 0.302648894059498, `125` = -0.44530813884912, `126` = -1.56720865277409, `127` = 1.26760092041906, `128` = 0.702371105475438, `129` = -0.0126092509352822, `130` = 1.3261327498269, `131` = 1.34157201563317, `132` = -0.437113083384821, `133` = -1.22319240883817, `134` = 1.10738117649282, `135` = 0.732099554148857, `136` = -0.131637260437666, `137` = 3.03471394221772, `138` = -2.54280583571282, `139` = -0.194474563460366, `140` = 1.11126010268969, `141` = 1.54804718702491, `142` = 0.987423986854891, `143` = 0.2270208340922, `144` = 0.774506729389174, `145` = 0.530040440803476, `146` = 0.0480187567561099, `147` = -0.760816625072516, `148` = 1.60621319216395, `149` = -0.314437680874743, `150` = -0.327722008888805, `151` = 0.206624190196415, `152` = 0.0617307906368444, `153` = -2.00040383856708, `154` = -0.458530949692246, `155` = 0.458977472470989, `156` = 1.19787630775429, `157` = -1.19270271783315, `158` = -0.625978129815824, `159` = -2.33795700121927, `160` = 0.69145784309282, `161` = 0.133499618785992, `162` = 0.861126548699294, `163` = -0.968400958900246, `164` = 0.593799579402085, `165` = 0.999546907045159, `166` = -0.165590178876463, `167` = 0.927907153642925, `168` = 0.97708644273119, `169` = -1.56469829290578, `170` = 0.325942381829308, `171` = -2.52328229293399, `172` = -0.220554561892202, `173` = -0.578995539868613, `174` = 0.943962991225024, `175` = -0.28762618678959, `176` = -0.623671701835947, `177` = -0.0341104023900253, `178` = 0.157640040779364, `179` = -0.677970796516483, `180` = -0.797916706774773, `181` = -1.20816910766897, `182` = -1.59804104009406, `183` = -0.723459862012967, `184` = 0.0690788908253884, `185` = -1.4455806298819, `186` = 0.422969891784379, `187` = -0.887030288014093, `188` = 0.377087057164622, `189` = 0.178111741409501, `190` = -0.362378737758759, `191` = -1.95828918660721, `192` = -1.46799011274907, `193` = -2.56615377178761, `194` = 1.36761607831182, `195` = -0.408212369596027, `196` = 1.75680421917922, `197` = -1.36059376866375, `198` = 1.47639510785232, `199` = 1.04571766902045, `200` = -0.78594720595898, `201` = 0.78188441248486, `202` = 0.644318907294342, `203` = -0.176077616379735, `204` = 1.47487230092207, `205` = -0.344437358216782, `206` = 2.07294602737772, `207` = -1.15341579063268, `208` = 1.58614770595903, `209` = -0.36758868526355, `210` = 0.440207666569601, `211` = -0.275306420511773, `212` = -0.132424702653712, `213` = -0.0482918827367892, `214` = 0.700333579034905, `215` = 0.153552167666028, `216` = 1.354904437276, `217` = -0.0940210930784746, `218` = 0.178249213418117, `219` = -0.0718590169721228, `220` = -0.372132565126363, `221` = 0.2743337233337, `222` = 0.995628997256991, `223` = 0.887256216024083, `224` = 1.02740258604454, `225` = 1.85132165161094, `226` = 0.135133292496099, `227` = 0.272018643509762, `228` = 1.623520847384, `229` = -0.0371489772319791, `230` = -1.02981802460295, `231` = -0.850432580867964, `232` = -0.565802227982752, `233` = -1.30510264397433, `234` = 1.25007618135143, `235` = -0.57526258593963, `236` = 1.24186815887754, `237` = 2.4105885346059, `238` = -0.347283504658361, `239` = 0.563423156759932, `240` = -0.662253648583073, `241` = 2.95491788703927, `242` = -0.961770230160829, `243` = 0.955674155023439, `244` = 0.972303956215665, `245` = 0.98934493625832, `246` = 1.10414013365689, `247` = 0.611263225798478, `248` = 0.568958545849905, `249` = -0.854717847927866, `250` = 0.350946835829447, `251` = -0.292457058101941, `252` = 2.75357107350176, `253` = 0.834242176262766, `254` = 1.26696116962087, `255` = -2.21287516293338, `256` = -1.28952973897863, `257` = -0.891829646108193, `258` = -0.459611780815687, `259` = -0.360470725493518, `260` = 0.641678262155804, `261` = -0.103990683020398, `262` = -0.178524851655183, `263` = 1.25677935380373, `264` = -2.13892491708195, `265` = -0.291827529434965, `266` = 1.12341318276903, `267` = 1.11983686151372, `268` = -0.137741552160711, `269` = -0.652781641884896, `270` = -0.216624624750199, `271` = -0.353021091043571, `272` = -0.297813327146467, `273` = -1.36327372004937, `274` = -0.205915013958304, `275` = 0.443664560139034, `276` = -0.449297489381728, `277` = -0.894191238077295, `278` = -1.79203325611391, `279` = -0.338917970655343, `280` = 1.78454097846621, `281` = -0.486091714453967, `282` = -0.591510503346713, `283` = 2.73050658453025, `284` = -1.97455321466408, `285` = 0.119995857914282, `286` = 0.719969756085881, `287` = -0.382643281434768, `288` = 1.27441154210719, `289` = 0.794322022197328, `290` = 0.0192342199461539, `291` = -1.10256862275973, `292` = 0.317607647584267, `293` = -0.313727631989234, `294` = -0.97124484737473, `295` = -0.000554259159670144, `296` = 0.38261760244071, `297` = -0.0103759782320025, `298` = 0.901824392365618, `299` = -2.43376069040953, `300` = 0.685216088057129, `301` = -0.65380455159173, `302` = 0.362082168407164, `303` = 1.22563369526588, `304` = 0.176269416098703, `305` = 0.0603768424851903, `306` = -2.67850521791345, `307` = -1.11241691981968, `308` = 0.729911896694816, `309` = -1.4325825658838, `310` = -0.0606715332645114, `311` = 0.240679514346496, `312` = -0.36041902727999, `313` = -0.729918732527916, `314` = -1.47883030018216, `315` = 0.447833665156941, `316` = -1.91727568754626, `317` = -0.796563030292006, `318` = -0.0786569709999069, `319` = -0.912599036896566, `320` = -0.374280879830022, `321` = 0.913925288194581, `322` = 0.0474455921381818, `323` = 0.267830904503625, `324` = 1.39415054076247, `325` = 0.0335244297731983, `326` = 0.0636535096050474, `327` = -1.95400847855562, `328` = 0.184180234167246, `329` = -0.630138130177308, `330` = -1.23937518977461, `331` = 1.21908437476211, `332` = 0.0886511555240727, `333` = 1.067459014511, `334` = -0.897215731172858, `335` = -2.43184076594686, `336` = 0.248715846417063, `337` = 1.00186646100921, `338` = 2.57202091329185, `339` = 1.06115664145703, `340` = 1.03242583230715, `341` = -0.516295870204025, `342` = 0.373684256030876, `343` = -0.696287403144038, `344` = 0.507426741798138, `345` = -1.14483927721652, `346` = -0.347702006329537, `347` = -1.34120925655074, `348` = 0.132263987256395, `349` = 0.461052261030674, `350` = 0.0364585430873317, `351` = -0.371637290517893, `352` = -0.250277953651279, `353` = -1.60952300211484, `354` = -0.0811655594020712, `355` = -1.94480643727683, `356` = 0.0367058513086389, `357` = 1.84673389295959, `358` = 0.687352765565837, `359` = 1.54834126785165, `360` = 1.47999715561202, `361` = -0.199412609175701, `362` = 0.442441122559382, `363` = -1.93794678614154, `364` = 0.903480758590514, `365` = -0.878779905489679, `366` = 0.93814648685653, `367` = -1.87001575381933, `368` = 1.14323506747458, `369` = -0.725525776777194, `370` = 1.52506612906047, `371` = 0.00133214565857233, `372` = -0.838325869616721, `373` = 0.619360156838574, `374` = 0.0185145811407747, `375` = -0.58793826643742, `376` = -0.809633520870028, `377` = 2.42474631250702, `378` = -0.899589296893904, `379` = 0.666213188688393, `380` = -0.224862675418023, `381` = -0.972357798866612, `382` = -1.31865648202374, `383` = -1.47590975195639, `384` = -1.42865950669184, `385` = -1.49391787590036, `386` = 0.735425852771022, `387` = -0.113293590187947, `388` = 1.82657917147067, `389` = 0.684065496953059, `390` = 1.61818216434126, `391` = 0.569787413227696, `392` = 0.872287836388432, `393` = 0.443883392621181, `394` = -0.263756227170968, `395` = 0.778842679122107, `396` = 0.00386362534273763, `397` = 0.906521196971356, `398` = -0.769442771559844, `399` = 0.918485635776285, `400` = -0.183600646187187, `401` = -0.854910509609521, `402` = -1.65994175471195, `403` = 1.41522115542652, `404` = 0.323028751572093, `405` = -0.0393960735383096, `406` = 0.761127380405703, `407` = 0.0518915602823483, `408` = -1.47493631559061, `409` = -2.05463374640576, `410` = -0.0262636160583861, `411` = -0.277152617048994, `412` = -0.95237179052035, `413` = 0.524979812606982, `414` = -0.30867595543128, `415` = 0.751031553977189, `416` = 1.32068395900713, `417` = -0.525437630091273, `418` = -0.82145895157684, `419` = 0.177714874920089, `420` = 1.54384127078222, `421` = -1.69461301507659, `422` = -1.12891772319357, `423` = -0.814871565802017, `424` = 0.358721105700531, `425` = 2.4283421361755, `426` = -0.44303787458905, `427` = -0.29598138757007, `428` = -1.6397583939611, `429` = -0.564934508157389, `430` = 0.625765363492575, `431` = -0.730962962130021, `432` = -0.417207085813908, `433` = -0.329865255662936, `434` = -0.0812245264952631, `435` = 1.70677405289037, `436` = 1.29706910069198, `437` = 2.10461847554973, `438` = -1.81676326145784, `439` = -0.408964591583987, `440` = 0.831861743697683, `441` = -0.368848037368429, `442` = 0.701150634706081, `443` = -0.629670051750208, `444` = -1.89424938156875, `445` = -1.03510035005447, `446` = 1.91654699439126, `447` = -0.137342244885132, `448` = 1.63161829549619, `449` = 0.872678003141009, `450` = 0.7354940205863, `451` = 1.71013693442075, `452` = -1.50536568326281, `453` = -0.260600196842927, `454` = -0.205015767917604, `455` = -0.799765233209928, `456` = -0.27203163937395, `457` = -1.97187543477011, `458` = -1.549080711885, `459` = 0.534916953819233, `460` = 0.267228963565255, `461` = 1.40004004146821, `462` = -0.231856921651543, `463` = -0.269343297756892, `464` = -0.351253623054593, `465` = -0.865256406841322, `466` = 0.322082355332635, `467` = -1.17690997944313, `468` = 0.534593844400968, `469` = -0.0540326192287986, `470` = 0.547909049107145, `471` = 1.33178809602133, `472` = -0.318723594185765, `473` = -0.174539116340187, `474` = 0.0645307518722822, `475` = -0.363815536468061, `476` = 1.69046367398989, `477` = 0.0558511635150722, `478` = 0.853076900725734, `479` = 0.353208463444756, `480` = 1.26624811768733, `481` = -0.175276235619638, `482` = -2.67968807484938, `483` = 0.140650878745784, `484` = -0.683261859913555, `485` = 0.39988913139711, `486` = -0.921886641491984, `487` = -0.123478700464778, `488` = -0.483834170295311, `489` = -0.410132833268128, `490` = -0.630367617844952, `491` = -0.898087147980022, `492` = 0.061419860055552, `493` = -1.24305510798906, `494` = -0.199396181289918, `495` = -0.324262165272746, `496` = -0.654781741789735, `497` = 1.87250328682731, `498` = -1.74630441027651, `499` = 0.0275580206618543, `500` = -1.14997326268865, `501` = -1.40301688821418, `502` = -0.14100649790472, `503` = 2.16148598856364, `504` = 1.19952737027423, `505` = 0.353897451004024, `506` = -0.739164373388727, `507` = 2.15860514356829, `508` = -0.457866905854127, `509` = -1.09598276735103, `510` = -1.24445107762985, `511` = -0.601946374367648, `512` = 1.75106898973113, `513` = 1.05292684391896, `514` = 0.465292485092317, `515` = -1.76974816885205, `516` = -0.260967988129897, `517` = 1.13139835620884, `518` = -0.346246228656431, `519` = -0.509655431433273, `520` = 0.0446962529239993, `521` = -0.893603197098097, `522` = -0.264265589387314, `523` = 2.37927093190715, `524` = 0.56623940637046, `525` = 1.26084854960676, `526` = -0.16122008287042, `527` = -0.476290255141048, `528` = 0.62792198670192, `529` = -1.42352810998377, `530` = 1.24879131206239, `531` = -0.243473120349148, `532` = -2.93573308282161, `533` = -0.836853203515277, `534` = -0.289078433350248, `535` = 2.0146017680782, `536` = -0.112083638190287, `537` = -1.34164918116908, `538` = -0.286109197263816, `539` = -0.921551331259077, `540` = -1.50762020479464, `541` = -0.899204724499733, `542` = -1.84270843154796, `543` = 2.47910460085213, `544` = 0.355823818882617, `545` = 0.706619369595011, `546` = -1.06623568528134, `547` = 1.27849806285197, `548` = 0.650459328938198, `549` = -1.08448801914052, `550` = -0.331096713214464, `551` = -0.362181387236569, `552` = 1.36520633218548, `553` = -0.228989645926182, `554` = 1.19532656192675, `555` = 0.720309310162288, `556` = -0.283118690576896, `557` = 0.0935562293552512, `558` = -0.73632605030403, `559` = -0.386018975162292, `560` = -1.61510382032058, `561` = -0.647358021747128, `562` = -0.198189055902959, `563` = -0.231859676486582, `564` = 2.46984610041161, `565` = 0.401287656437332, `566` = -1.50462690049602, `567` = 1.06286502976489, `568` = -0.275807347295196, `569` = 1.40163112935451, `570` = -0.135627762285509, `571` = 1.59671907753339, `572` = 0.0332454746191333, `573` = -0.46390113438653, `574` = 2.04667164615292, `575` = -1.26648358451873, `576` = 0.34241800164842, `577` = -0.862845130940423, `578` = 1.17888758326791, `579` = 0.482871358449955, `580` = -0.586203075632172, `581` = -0.313436280167181, `582` = 0.666317498206885, `583` = -1.09381644255708, `584` = -0.64706278998496, `585` = 0.522473010345057, `586` = 0.69004630757896, `587` = -1.58732753392557, `588` = -0.0292439105393772, `589` = -0.95223314589784, `590` = -0.810897881173304, `591` = 1.09047425654457, `592` = 1.0984719685864, `593` = -0.101880226320777, `594` = -0.885731653711405, `595` = 0.165247458264157, `596` = 1.67817302478363, `597` = 1.02740874816144, `598` = 0.407098533975226, `599` = 0.0212323212915641, `600` = 1.05709190123365, `601` = 0.721513274718439, `602` = 0.71360654872932, `603` = -0.702932488448542, `604` = -2.71950727348554, `605` = -0.589089845429238, `606` = 1.0773579551258, `607` = -0.173410813853688, `608` = -0.663243953069262, `609` = -1.97911747657479, `610` = -0.474745855259661, `611` = -0.814679133694167, `612` = -0.653757145370431, `613` = 0.0722862425134145, `614` = -0.224191614571255, `615` = 1.26727670748956, `616` = -1.57412936537123, `617` = -1.51938372179535, `618` = -1.01159427196705, `619` = 0.127049137158835, `620` = 2.25803738472732, `621` = 1.45125433397264, `622` = -0.41145899206481, `623` = -0.479687499365016, `624` = 1.31638641894359, `625` = 0.391330002961166, `626` = -0.389456294379096, `627` = 0.0585043435648092, `628` = 1.09446808322787, `629` = 0.0146191695005953, `630` = 0.126506704022758, `631` = 0.760425067297108, `632` = -0.516005945923311, `633` = -1.98122694670427, `634` = 0.011026550928697, `635` = 1.22053538149303, `636` = -0.250159969858279, `637` = 0.992895735013286, `638` = -0.561635743470546, `639` = -0.741059041672562, `640` = 0.228842364481597, `641` = -0.484357418131607, `642` = 0.167843895096638, `643` = 0.961398356412197, `644` = -0.439590532664392, `645` = -0.120176486308383, `646` = 0.952901925716894, `647` = 1.54027188688194, `648` = -0.200071606038271, `649` = -0.370593024292862, `650` = -0.489866105018164, `651` = 0.99807649275207, `652` = -0.666729663960561, `653` = -0.719481828892707, `654` = -0.287111429652809, `655` = -1.40296029636829, `656` = -0.307156948909019, `657` = -0.432180139816106, `658` = -0.0655155763153287, `659` = 0.783149637579721, `660` = 1.77511674298001, `661` = 0.858748165133872, `662` = -1.15741607406915, `663` = 1.47852495973671, `664` = 0.77739201019174, `665` = 0.191592881379408, `666` = 1.0005740448232, `667` = 0.51192647401808, `668` = -0.122685536995748, `669` = -0.575662329971165, `670` = 0.868342008354016, `671` = -2.18288020451937, `672` = -0.377447729738174, `673` = -1.32851313123068, `674` = -2.04917816509898, `675` = 0.252456896271665, `676` = -0.00455759699316366, `677` = -1.80988772612292, `678` = -0.276704117303584, `679` = 0.525186032973322, `680` = 0.651829393276619, `681` = 0.271425733169605, `682` = 0.710379930452424, `683` = 0.124270638581215, `684` = 0.457124159009988, `685` = -0.0831111801632644, `686` = -0.918521479885603, `687` = 0.255674046162417, `688` = 0.893358978410407, `689` = 2.40262062264375, `690` = -0.480158297042548, `691` = 0.0370645329551433, `692` = -2.13030267718804, `693` = -0.980839303313051, `694` = 1.39772326518982, `695` = -0.17132646184608, `696` = 0.460408340786116, `697` = 0.478251291173555, `698` = -0.757248447085629, `699` = -0.206535309703804, `700` = 0.349975367908024, `701` = -0.247233949170307, `702` = -0.0162895051132212, `703` = -0.60099445259856, `704` = -1.37556588385377, `705` = 0.645622435957847, `706` = 1.4013001557138, `707` = 0.202694307230844, `708` = 0.0956946271562169, `709` = -0.241541600821264, `710` = 1.41187869168221, `711` = 1.16354084643934, `712` = 1.41065660623005, `713` = 0.773256870269722, `714` = 0.183455204067203, `715` = 0.480042465027015, `716` = 0.294571740526009, `717` = -1.20260918153325, `718` = 2.23428656648947, `719` = -1.1515462705905, `720` = 0.616198841192538, `721` = -1.41866870384524, `722` = -0.951966350087608, `723` = -0.352485148907089, `724` = -1.42086086122911, `725` = 0.0582291636091519, `726` = -1.03902533879805, `727` = 0.0996535606923858, `728` = 1.84806459684644, `729` = 0.769984914249602, `730` = -1.42845531193888, `731` = 0.370737032050522, `732` = 0.0654514348826629, `733` = 1.77481413849243, `734` = 0.590916559430136, `735` = -0.0976196494326984, `736` = -1.15398676759493, `737` = 0.048500857472991, `738` = 1.43728575012931, `739` = -0.969080437830227, `740` = -0.71736093120723, `741` = 1.03777139727611, `742` = 0.958306045718272, `743` = -0.274420680706018, `744` = -0.300947151495689, `745` = 0.0421269080315298, `746` = 1.02885153552682, `747` = 0.0254833900179468, `748` = 0.243121699570229, `749` = 1.69002191128667, `750` = 0.836142919340155, `751` = 1.28824988628336, `752` = 1.80408876812388, `753` = -0.155972070968765, `754` = -0.0972269255301354, `755` = 0.173923472482183, `756` = 0.429328031436448, `757` = -0.434125625965263, `758` = 0.199289404917013, `759` = -0.931578567641512, `760` = 0.385669117507831, `761` = -0.834233345701464, `762` = -0.225288119873308, `763` = 1.2326248028519, `764` = -0.281764122908527, `765` = -0.568085715221524, `766` = 0.860471328956729, `767` = -2.66192804189633, `768` = 0.0601969106197502, `769` = 0.304991890080915, `770` = 2.35592805016226, `771` = -0.617449971933117, `772` = -0.996906991473719, `773` = 2.25279831414472, `774` = 0.332555213772629, `775` = -0.0343182375654322, `776` = 0.553942095735088, `777` = -0.332260043051378, `778` = -1.08865647256746, `779` = 0.809667694768049, `780` = 0.0329839118148833, `781` = -0.0935493157522529, `782` = -1.18852966422395, `783` = -0.998380780854964, `784` = 0.597827690052846, `785` = -0.939921171439336, `786` = 0.571054144382359, `787` = 1.03357365681507, `788` = 1.00228797020952, `789` = -1.31781480506039, `790` = 0.10914512607753, `791` = 0.137302528006935, `792` = 0.996301382808932, `793` = 0.484548535905109, `794` = -1.2229509318636, `795` = -0.31591843989084, `796` = 1.10557071566996, `797` = 1.00632025507384, `798` = 1.82147163570023, `799` = -1.15978776889398, `800` = -0.754735507390657), effects = c(Intercept = -73.40333659132, age = 13.6382906841201, `age'` = -2.107611276151, `age''` = -0.034533686035316, `treat=placebo` = -2.24761333894835, `sex=male` = 2.65400508021108, `age * treat=placebo` = -0.243522200233562, `age' * treat=placebo` = 2.26243430584071, `age'' * treat=placebo` = 1.0721171414083, `age * sex=male` = 1.44104881889796, `age' * sex=male` = 3.84672118267309, `age'' * sex=male` = 0.428113012081798, `treat=placebo * sex=male` = 3.64434918334448, `age * treat=placebo * sex=male` = 1.82702857346944, `age' * treat=placebo * sex=male` = -2.0416754656213, `age'' * treat=placebo * sex=male` = -0.865456381743029, -0.572850974887237, -1.17018600460594, -0.0963618583398188, 1.40955786337855, 0.0459542010786245, 0.054162644913335, -0.716313781853562, -0.662075456970051, -0.287362257763061, -1.62608406617552, 1.28980384042999, -0.0456820693279919, -1.94036918237309, -0.135916515161014, -0.23955569337864, -1.44408160083464, 1.96640645780827, -1.11087569668948, -1.23195598718316, 0.46338388259601, 0.352396975809895, -0.35304969650697, 0.116559024379499, -0.98470620043081, 1.41858956516318, 0.721265766857826, -1.1339386640339, 0.655480194364529, 0.847366265130963, -0.630687887144773, 0.657047719449646, -1.14664480797666, 1.7638336644967, 0.626296229567147, -0.195506654238485, -0.646252657427098, -0.139697843963573, -0.590290197636792, 0.0778434741039944, 0.669110607661971, -0.427663691616754, -0.899358002588566, -1.76800081230197, 0.579232779335802, 0.493796992546083, -0.0271421617831837, -0.484607750376689, 0.267949506055039, -1.20379240580015, -1.24401829194072, -1.53310664801457, -0.718940125760921, 0.638532609533419, 0.685208828541294, -0.311266263368033, 1.24347378677893, -1.12420676301885, -0.448458805165953, -0.675397326252763, 0.273018630441841, -1.64138312863665, 1.35818388732829, 1.03442825450482, 0.938960023424087, 0.00373005418637162, 0.9961626316138, 0.376732229144643, 0.811446613350443, 0.222289088923426, 0.430731167570466, -2.20015588254468, -0.435344252558877, 1.09983354616501, 0.105034257705275, -1.23214852290654, -0.958961370821248, -0.673648925584276, 1.95346019103648, 0.00593114871831279, -0.622755754872117, -1.98927501769708, -1.68969738232221, 1.64017013679322, -1.01388454826697, 1.32929870110876, -0.477714946516354, -2.32338177859855, 2.12407241889225, -0.895845019708879, -0.425595709895197, 0.218962050366787, -0.127460273135104, -1.34130173019619, -1.63733646365065, 1.26014407044007, -0.739092790829002, 1.08124266813936, 1.66524436361464, -0.525200332594081, -0.629308531038169, -2.05956382158515, 1.75792829515329, -0.883690325425071, 0.0504542319645168, -1.19068856264395, 1.06937548571033, 1.45181621995161, 0.299403153165381, -0.578097958427776, -1.56815079106531, 1.38991756050067, 0.659786641431123, -0.141445929056025, 1.37153294716425, 1.17874690333005, -0.566539398435019, -1.26430637087197, 1.54873284881512, 0.568424907570846, 0.0536320312414061, 3.02678070850782, -2.51625883294248, -0.0467236280202693, 1.01099842079662, 1.49043466931921, 0.82313712661326, 0.313411320850356, 0.780566077689021, 0.42965757898183, 0.128040070019345, -0.868879254373763, 1.81772477128329, -0.362618741109525, -0.471052208341644, 0.251709691538199, -0.0166655284892506, -2.13266939400036, -0.576923620740367, 0.530611766512081, 1.195102962025, -1.34150935786286, -0.596746065942844, -2.39303655768923, 0.880352261816334, 0.0917559833518959, 0.809727135994157, -0.729970576769514, 0.792333551893106, 1.07642974480236, -0.164989225384035, 1.08189605641, 1.11314216142431, -1.72977557094265, 0.261211721318, -2.6632247143553, -0.378887509619794, -0.673821052365435, 0.919115485932933, 0.0378349024699697, -0.717893929033466, 0.0182916261997959, 0.00914510934540284, -0.537743369758895, -0.808455285713084, -1.17177082230259, -1.61278646965847, -0.554314275731673, 0.152363993666186, -1.3798903887697, 0.415122928796598, -0.72460615272511, 0.319899165306241, 0.0138955134273004, -0.52667677064417, -2.10158100553355, -1.51811822003867, -2.69817356576717, 1.43209750643492, -0.417131131756681, 1.89029019087277, -1.36632236570487, 1.33790250185367, 1.0984813868671, -0.924252683485373, 0.661503228428236, 0.522793433993535, -0.289481849632496, 1.35673633188748, -0.359847631614441, 2.2184439717927, -1.31640379028992, 1.69220766304441, -0.333514666912783, 0.296061806323314, -0.100978518323013, -0.211125945004448, 0.0809622414887248, 0.662717193679243, 0.200363530441026, 1.27173614600483, 0.0827603938371803, 0.19724386948073, -0.130320726192931, -0.154475974685408, 0.222854610541286, 0.862949751560051, 0.963869201023936, 0.862683682407007, 1.88607805168194, 0.17787502223404, 0.280328534240683, 1.69605339236483, -0.0138316591359702, -1.18159910117973, -0.894215518292957, -0.619885770764213, -1.34728819738794, 1.35718357328599, -0.70578664439481, 1.30611622594388, 2.30332209406001, -0.506309052316268, 0.476752071262815, -0.686677576468282, 2.99220151193042, -0.930880466752343, 1.08551156980691, 0.971583097112518, 1.19421323453849, 1.19229713486145, 0.47817344687356, 0.563455539462853, -0.815508142941393, 0.304782864252948, -0.32589993496468, 2.68003304351168, 0.814646972297269, 1.52582265805096, -2.34509276390712, -1.33670713276002, -1.00804893546524, -0.511671297810866, -0.443097552451032, 0.505923196205986, 0.305062062124505, -0.285571007783972, 1.1362601018451, -2.26825907990482, -0.312199311021363, 1.22106246226168, 1.07150683742929, 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0.580548995133037, 0.126703128720121, 0.569656512065563, 0.10770650692188, 0.435348894686623, -0.247930588426894, -0.844228794034961, 0.123034402811563, 0.78111827743297, 2.3618487202732, -0.61882279730788, 0.0668041152554399, -2.26713029080264, -0.828396443261679, 1.26993303849881, -0.03039293409857, 0.429319422309336, 0.631597348375269, -0.844185997483185, -0.160559310908493, 0.319138158190132, -0.166565566595088, 0.125887319897372, -0.522688880720763, -1.23690212822424, 0.719848111505827, 1.35933328238897, 0.0725714730809292, 0.0217098275000365, -0.31643430946117, 1.25085271107477, 1.3638879572947, 1.33698033651463, 0.803361260010268, 0.116943326383704, 0.380660895855268, 0.24849823499166, -1.28431518571426, 2.33071520522355, -1.19110442037258, 0.529847079790773, -1.29030775886443, -1.06944368899846, -0.184521424554327, -1.33696417481552, 0.016582354828849, -0.884557462261349, 0.0870195139233712, 1.95810352473099, 0.718305338046376, -1.49526111359094, 0.336536695265361, 0.124747665997748, 1.04987196933542, 0.70788247551476, -0.17613117040106, -1.20909614430547, -0.0292857209734235, 1.4636307094423, -0.987921517155655, -0.842260630085467, 1.09002136392792, 0.868898450937378, -0.394103499413947, -0.248122683411008, 0.172610190116425, 1.00260268314649, -0.0965247693659452, 0.0989299119993181, 1.74768702086668, 0.692728306838585, 1.23613555584604, 1.77285557041551, -0.23881130558668, -0.0805116029057873, 0.0416988020249218, 0.297933995176449, -0.250606422971945, 0.0894804712305895, -0.804762369104944, 0.333821512822324, -0.813295524510226, -0.298233156512461, 1.31778189647637, -0.21986145577956, -0.611368606182007, 0.967278702989654, -2.52414943647429, -0.0755818975511696, 0.169111736495417, 2.23253748899061, -0.629846423705932, -1.35071588787323, 2.12601204119038, 0.19035376557703, -0.140560533768141, 0.509697463187835, -0.440625345768201, -1.02227471346483, 0.762363676169038, -0.0871288150611121, -0.0699811259583561, -1.30069428264778, -1.24142493103183, 0.605581162539639, -1.10422685757841, 0.451562029691737, 0.870267171739296, 1.05625793747355, -1.29748102966093, 0.0118069893978282, 0.0851986068188737, 0.987876749158515, 0.482549683212166, -1.09711426174666, -0.23910684896716, 1.03394446587643, 1.18019617564374, 1.79694306130437, -1.72790554432164, -0.776398954786844), rank = 16L,     fitted.values = c(`1` = 1.8273464762968, `2` = 2.6542796288188,     `3` = 2.91235879550687, `4` = 2.62632478687051, `5` = 2.37478067233776,     `6` = 2.57126669833247, `7` = 2.29342830409831, `8` = 2.91272324756385,     `9` = 2.7720149889747, `10` = 2.61802501930452, `11` = 2.83995582973133,     `12` = 3.15822090879926, `13` = 2.7318330139736, `14` = 0.923092063185215,     `15` = 2.35638427355456, `16` = 3.21291450377986, `17` = 2.85930487738867,     `18` = 1.85471780857574, `19` = 2.59507849617468, `20` = 2.77516156003148,     `21` = 2.37468336722965, `22` = 2.94734075955842, `23` = 2.71890305200674,     `24` = 2.56690580859943, `25` = 2.62312595210793, `26` = 2.69985921118831,     `27` = 2.46142105713551, `28` = 4.81182749551602, `29` = 1.78100545234006,     `30` = 2.51087836642562, `31` = 2.18383381057564, `32` = 3.12042045378319,     `33` = 2.962998524365, `34` = 2.17134047276968, `35` = 2.49370220032693,     `36` = 2.95708295768924, `37` = 4.12990022922827, `38` = 2.68438147115392,     `39` = 2.20205567454462, `40` = 1.89621933065192, `41` = 3.17300922223564,     `42` = 1.36495515601018, `43` = 4.9162768756297, `44` = 2.34843367978997,     `45` = 2.2828688390031, `46` = 2.47656065356765, `47` = 3.35155981290649,     `48` = 2.68466198933939, `49` = 1.72312215469336, `50` = 2.5545423995087,     `51` = 2.75451955418949, `52` = 2.82193431350933, `53` = 2.40214416391366,     `54` = 0.959203672924118, `55` = 2.43423806672798, `56` = 2.38707792981996,     `57` = 2.37029134741965, `58` = 2.24561426606161, `59` = 2.30349409111093,     `60` = 2.43894245579633, `61` = 2.82061452685481, `62` = 3.40279330285509,     `63` = 2.02110598950698, `64` = 2.43980467959036, `65` = 2.55818586752441,     `66` = 3.81749524286754, `67` = 2.55797249452663, `68` = 1.86026293864306,     `69` = 2.64852423658387, `70` = 2.39078281119623, `71` = 4.20728393693173,     `72` = 2.73321470694733, `73` = 2.13299125795756, `74` = 2.40078521835743,     `75` = 2.38732388647639, `76` = 2.48663441342883, `77` = 2.48319236767406,     `78` = 3.33474920590903, `79` = 2.72652344572814, `80` = 2.502890404923,     `81` = 2.38653230290044, `82` = 2.81510053286542, `83` = 2.48414658771294,     `84` = 2.62268592379984, `85` = 3.0651368477459, `86` = 3.15791582696985,     `87` = 2.24559620887642, `88` = 3.13179459683268, `89` = 1.97357557764259,     `90` = 2.77282308095323, `91` = 2.74016188199839, `92` = 2.45176950529484,     `93` = 3.32531928953431, `94` = 2.19751752606572, `95` = 2.72674714579747,     `96` = 2.42192340543888, `97` = 1.93076371222272, `98` = 3.62929473538996,     `99` = 1.35369434987869, `100` = 2.2547370962648, `101` = 1.94409001325824,     `102` = 2.62880112621963, `103` = 2.77137140917496, `104` = 1.95738338715501,     `105` = 2.72049174848199, `106` = 2.40243453220378, `107` = 3.09735812074682,     `108` = 2.75153859240597, `109` = 2.7634794003779, `110` = 2.05813014540498,     `111` = 2.65985862884668, `112` = 2.46522299246837, `113` = 1.5703781919029,     `114` = 2.69035917134868, `115` = 4.20861430662284, `116` = 2.37125443702692,     `117` = 2.36705613621479, `118` = 2.85308469084743, `119` = 2.5415194010717,     `120` = 3.15710460382206, `121` = 2.77865444148754, `122` = 3.2954859943684,     `123` = 2.70726046586218, `124` = 2.42473855283583, `125` = 2.75546009888392,     `126` = 1.93535012472394, `127` = 2.21956899382337, `128` = 2.48911632772296,     `129` = 2.93859012435979, `130` = 2.5501671026405, `131` = 2.86395308616895,     `132` = 2.9325665637652, `133` = 2.49741866101599, `134` = 1.15477002080841,     `135` = 2.85906509967744, `136` = 3.21480202919142, `137` = 2.64844922449584,     `138` = 1.81624171593204, `139` = 2.50256109585425, `140` = 2.06026174870399,     `141` = 2.41347967088569, `142` = 2.82647702488726, `143` = 3.28776560599656,     `144` = 2.74957705273186, `145` = 2.06055571226601, `146` = 3.23783901748259,     `147` = 3.0579009438373, `148` = 3.23597166652999, `149` = 2.21636165136686,     `150` = 2.77037519109151, `151` = 3.14335945231959, `152` = 2.39156945942855,     `153` = 2.78704915422625, `154` = 2.63941496646989, `155` = 2.58610032037074,     `156` = 2.70144690395644, `157` = 2.90426129456847, `158` = 2.88420138031662,     `159` = 2.39479076403391, `160` = 2.80509075142565, `161` = 2.37161390962301,     `162` = 2.41992065646662, `163` = 2.9052094221091, `164` = 3.22550263914549,     `165` = 1.73315464210068, `166` = 2.43142907624064, `167` = 3.87849162526757,     `168` = 1.08194647347416, `169` = 2.84365960719609, `170` = 2.31147636681322,     `171` = 2.76523847380424, `172` = 2.88117058586849, `173` = 2.04732981907891,     `174` = 2.07915665869094, `175` = 3.08110988123108, `176` = 2.04592349294163,     `177` = 2.56700092604082, `178` = 2.77907881429002, `179` = 3.17846678411757,     `180` = 2.65038681640476, `181` = 2.92913414157109, `182` = 2.63780063630832,     `183` = 2.45550173098484, `184` = 2.78684913414774, `185` = 2.60955074916775,     `186` = 2.67430224080449, `187` = 2.3114710982275, `188` = 2.41392007655519,     `189` = 2.85514775159917, `190` = 2.82657039075926, `191` = 2.27203654778748,     `192` = 2.37030879867869, `193` = 2.78189657176958, `194` = 3.01888613570589,     `195` = 2.66860452934713, `196` = 2.5229466489951, `197` = 1.96437460612657,     `198` = 2.29586715480886, `199` = 2.53040196702745, `200` = 2.17979970489295,     `201` = 2.99968367627667, `202` = 2.99303164445703, `203` = 2.09396489715103,     `204` = 2.63747526906564, `205` = 2.63430036234606, `206` = 1.62346827950003,     `207` = 2.86309558489206, `208` = 1.26999728769122, `209` = 1.72020445809491,     `210` = 2.91311906510036, `211` = 2.43319556057215, `212` = 2.39109250097856,     `213` = 1.6492458519465, `214` = 1.99197336957605, `215` = 2.55334196204763,     `216` = 2.41675268048625, `217` = 2.4118017030696, `218` = 1.82904370247393,     `219` = 1.96972936169113, `220` = 4.48347814044753, `221` = 2.43357782876622,     `222` = 2.88429652654287, `223` = 3.21160807310651, `224` = 2.85022603796191,     `225` = 2.52882699909125, `226` = 2.0957307798493, `227` = 1.87895581468756,     `228` = 3.18065900342439, `229` = 2.47307935938645, `230` = 2.78536931497109,     `231` = 2.19076727042225, `232` = 2.41128760676261, `233` = 2.37131981545313,     `234` = 2.55303760371157, `235` = 2.9199693414722, `236` = 2.60397022793523,     `237` = 2.35726095482352, `238` = 2.87899977284871, `239` = 3.13468726875723,     `240` = 2.58696063484866, `241` = 2.93480037321797, `242` = 2.52196476517132,     `243` = 2.23386570374798, `244` = 1.93400574589039, `245` = 4.36159183616138,     `246` = 3.30181888171832, `247` = 2.87275271626973, `248` = 2.68680493967785,     `249` = 2.9472147026804, `250` = 2.67701679026062, `251` = 2.43874412812383,     `252` = 2.69832522750769, `253` = 2.39815127697227, `254` = 3.27416880961077,     `255` = 2.89420394072003, `256` = 2.46206595690653, `257` = 3.02161363337767,     `258` = 2.37253590878611, `259` = 3.14803716395551, `260` = 2.30477591805902,     `261` = 1.20593814723825, `262` = 3.06200642364828, `263` = 2.99889777179038,     `264` = 2.14282555354455, `265` = 2.01335804244271, `266` = 1.32272589615639,     `267` = 2.45487059993715, `268` = 1.51492463330488, `269` = 2.31193380003934,     `270` = 2.69797296272068, `271` = 3.27746164011552, `272` = 2.37320371671454,     `273` = 2.44765266363073, `274` = 2.76426830101752, `275` = 3.14991474578698,     `276` = 1.91281943159906, `277` = 1.47871083226282, `278` = 2.66139783025367,     `279` = 3.0068312744844, `280` = 2.40803144249423, `281` = 3.19967771868625,     `282` = 2.38442996368075, `283` = 2.74742751208274, `284` = 2.74151591243007,     `285` = 2.53430303102901, `286` = 2.13304771295534, `287` = 3.03502047926305,     `288` = 2.40927804101479, `289` = 2.84449715484632, `290` = 2.69872269248432,     `291` = 4.2167466822975, `292` = 2.86134949044519, `293` = 2.3240990316239,     `294` = 2.58529458327362, `295` = 2.589177826791, `296` = 1.65132282111858,     `297` = 4.12860304687622, `298` = 2.9788838201833, `299` = 2.03941888516452,     `300` = 2.74426480590544, `301` = 2.70375821808304, `302` = 2.42445684795484,     `303` = 3.91189357427476, `304` = 2.46328928597437, `305` = 2.71213347425702,     `306` = 2.75078140564015, `307` = 2.39519608769782, `308` = 1.97652601737173,     `309` = 2.49237836450657, `310` = 3.02437447193905, `311` = 2.63718302354101,     `312` = 2.85937900798305, `313` = 2.54616629469414, `314` = 2.7903511279751,     `315` = 1.61496522808629, `316` = 2.84844468900093, `317` = 2.37133176406135,     `318` = 2.2342212333381, `319` = 2.39493857884649, `320` = 1.88745641232398,     `321` = 2.39649029076404, `322` = 2.25072436441753, `323` = 2.36943155133288,     `324` = 2.42743673231805, `325` = 2.97791930992207, `326` = 2.09234168848051,     `327` = 2.36240634177489, `328` = 1.1105791288804, `329` = 2.37013324391512,     `330` = 2.26471337954389, `331` = 3.05444517174529, `332` = 2.38980742161709,     `333` = 2.37786232477323, `334` = 1.78990970602347, `335` = 2.70944370588652,     `336` = 3.5683141888971, `337` = 2.44134246962534, `338` = 2.25972174620225,     `339` = 3.00918859646008, `340` = 2.18586223684944, `341` = 2.74330408539129,     `342` = 2.86867416819939, `343` = 2.06826131293291, `344` = 3.63151763911666,     `345` = 2.85886713213127, `346` = 2.21985116812454, `347` = 2.3815434508579,     `348` = 2.41350923720854, `349` = 2.89843556037318, `350` = 2.23898268719741,     `351` = 1.29584077798455, `352` = 2.51159663534582, `353` = 2.85257238541717,     `354` = 1.77903202336168, `355` = 2.55028022270778, `356` = 2.44782824590644,     `357` = 2.46271608796213, `358` = 2.51685373998414, `359` = 2.41583566834669,     `360` = 2.3728907565472, `361` = 2.369454773508, `362` = 3.29250303236263,     `363` = 2.66285306254625, `364` = 2.49029698546202, `365` = 1.05306070502084,     `366` = 1.86455368138798, `367` = 2.88031132181863, `368` = 2.30036007798452,     `369` = 2.11837578996616, `370` = 2.40083223927156, `371` = 2.29153752579909,     `372` = 2.44953094562367, `373` = 2.62721713144288, `374` = 3.9441196218975,     `375` = 2.9557674025679, `376` = 3.66113529407979, `377` = 2.32038023868864,     `378` = 2.87211440331623, `379` = 2.39293831188164, `380` = 2.51344798573844,     `381` = 4.63994090353258, `382` = 2.42205148785717, `383` = 2.33462597983624,     `384` = 2.23050814284012, `385` = 2.88331664462298, `386` = 4.55690943309283,     `387` = 2.58261047793064, `388` = 2.54193081869031, `389` = 4.52295683194619,     `390` = 2.14060027084606, `391` = 2.99869748680244, `392` = 2.26250701192594,     `393` = 2.01249031809818, `394` = 2.97085385284773, `395` = 2.64468402413129,     `396` = 2.33395576477012, `397` = 2.63502066231726, `398` = 2.24915693049968,     `399` = 2.58574738517705, `400` = 2.3716272899945, `401` = 1.69024305202187,     `402` = 3.19926868492288, `403` = 1.77606477443688, `404` = 1.64318193529478,     `405` = 2.83237040517646, `406` = 2.88901243357697, `407` = 2.40363001910485,     `408` = 2.56124257441973, `409` = 3.15661085878286, `410` = 3.01754450476663,     `411` = 1.66908846281502, `412` = 3.04638461915898, `413` = 2.4902496498083,     `414` = 2.32355269847258, `415` = 3.20708965017669, `416` = 2.94047492110776,     `417` = 3.039308895143, `418` = 2.4463121970276, `419` = 2.85372829272876,     `420` = 2.52921117908114, `421` = 2.20126381165548, `422` = 3.67012958834098,     `423` = 2.67998235983964, `424` = 2.48875766442306, `425` = 2.98395742646305,     `426` = 2.86885943428284, `427` = 2.36948098545145, `428` = 2.41007394201668,     `429` = 3.32665939652036, `430` = 2.60667304612803, `431` = 2.3375066389785,     `432` = 3.1650659263681, `433` = 2.87830655726086, `434` = 2.24977346407656,     `435` = 2.41284105666922, `436` = 2.87304300931647, `437` = 2.46339398769293,     `438` = 2.94459097140992, `439` = 2.44625020909451, `440` = 1.88518695389097,     `441` = 2.63410511427251, `442` = 3.31221841531284, `443` = 1.75003520014887,     `444` = 2.03294189166507, `445` = 1.66007689915753, `446` = 2.29814525739876,     `447` = 3.06648380940822, `448` = 2.57970479276396, `449` = 2.36683669531664,     `450` = 2.4670869173179, `451` = 2.44602851362862, `452` = 3.45053339543596,     `453` = 3.28071687825047, `454` = 3.04908277183995, `455` = 2.37763546512344,     `456` = 2.26398601372506, `457` = 2.692748575164, `458` = 2.62690602442052,     `459` = 2.71352920569489, `460` = 2.47429183434904, `461` = 2.4039247810575,     `462` = 1.93412621996201, `463` = 2.38480340226842, `464` = 2.07063510996225,     `465` = 2.40690117392684, `466` = 2.42420000654002, `467` = 2.81475506919669,     `468` = 2.20640905191678, `469` = 2.37632831310256, `470` = 3.53490867501887,     `471` = 3.41002468731006, `472` = 2.75092976639121, `473` = 3.09480651714885,     `474` = 1.90007305083701, `475` = 3.2296327868531, `476` = 3.02534506485739,     `477` = 2.53398829371899, `478` = 2.82791722535193, `479` = 2.55583773830625,     `480` = 2.59402715530063, `481` = 1.6781326990062, `482` = 2.87293840540908,     `483` = 4.03969129126323, `484` = 3.19450816106775, `485` = 2.68239952858409,     `486` = 2.39405541049845, `487` = 2.71100128720999, `488` = 3.00282156550285,     `489` = 3.40302266876215, `490` = 2.88352616157181, `491` = 3.52856064048011,     `492` = 2.62144967861979, `493` = 2.77538989742825, `494` = 3.59999333050544,     `495` = 6.16348972719813, `496` = 2.4891599433751, `497` = 2.37034460924193,     `498` = 2.59980779332976, `499` = 2.30071384805534, `500` = 3.07614227765401,     `501` = 2.73259013984369, `502` = 3.25338285299229, `503` = 2.04661688530079,     `504` = 2.119780819561, `505` = 3.11313609957979, `506` = 2.6988744349033,     `507` = 2.38395417253592, `508` = 2.18648950581266, `509` = 2.42837885798354,     `510` = 2.68221147267643, `511` = 2.25428068095068, `512` = 3.75887229099597,     `513` = 2.65473882617471, `514` = 2.69017623822354, `515` = 2.62515548587877,     `516` = 2.34064129442189, `517` = 2.37656062416954, `518` = 3.11073225841166,     `519` = 1.65824952962201, `520` = 3.05076882119208, `521` = 2.50896463090888,     `522` = 2.77691889731644, `523` = 2.48655516799708, `524` = 2.4847705304522,     `525` = 2.83484261483298, `526` = 2.39148791182408, `527` = 3.08293761712995,     `528` = 2.11610089991802, `529` = 1.5441706288409, `530` = 2.29338823560684,     `531` = 2.2357005930668, `532` = 2.00046452981165, `533` = 2.46775766392926,     `534` = 2.37518687841549, `535` = 2.26924539949773, `536` = 2.69708958988384,     `537` = 1.7759969284976, `538` = 2.87932697846107, `539` = 2.51924964421704,     `540` = 2.41448920694114, `541` = 2.73088979297616, `542` = 2.33592937775142,     `543` = 2.42699526496006, `544` = 3.26971833241992, `545` = 3.80927075812981,     `546` = 3.64604939844582, `547` = 1.96050051349709, `548` = 2.37166914445101,     `549` = 2.60110158015077, `550` = 2.19353040701009, `551` = 1.66039378190514,     `552` = 2.81717036355495, `553` = 2.63349707431426, `554` = 2.69710127484472,     `555` = 1.90798875869868, `556` = 2.31371567893383, `557` = 1.77090083956038,     `558` = 2.37391574467976, `559` = 2.50262689711419, `560` = 2.31168914410283,     `561` = 2.22625805533233, `562` = 1.68021749593895, `563` = 2.51377897825149,     `564` = 2.09808172086947, `565` = 3.09578583530429, `566` = 2.19900715901313,     `567` = 1.80979414421884, `568` = 1.78503396884665, `569` = 2.50774132675897,     `570` = 2.49239230729125, `571` = 2.76211802056802, `572` = 2.4495274017885,     `573` = 3.28892969636115, `574` = 3.15211213487484, `575` = 2.92840573999153,     `576` = 2.7042293900111, `577` = 2.94371744049618, `578` = 2.47580774375233,     `579` = 2.92455079876968, `580` = 2.57811464680771, `581` = 2.09501725666443,     `582` = 2.11233201384487, `583` = 2.17435383560045, `584` = 2.36979159264026,     `585` = 2.67342838683219, `586` = 2.56022536590253, `587` = 2.37232436135092,     `588` = 2.27233056465191, `589` = 3.0468428457455, `590` = 2.55069457032584,     `591` = 2.09756322003269, `592` = 2.40306812582161, `593` = 2.45500210452847,     `594` = 2.86907537820904, `595` = 2.60261574773351, `596` = 2.46107520830906,     `597` = 1.85902245529062, `598` = 2.89225570374173, `599` = 2.65436849639519,     `600` = 2.87087714348427, `601` = 3.46886542980082, `602` = 2.68512701414622,     `603` = 2.35003691394945, `604` = 2.14627270516146, `605` = 2.23384069990504,     `606` = 2.26441295743203, `607` = 2.85303023058625, `608` = 2.52519561937849,     `609` = 1.57105260574496, `610` = 2.37037349981258, `611` = 3.04865674785886,     `612` = 2.66980960831409, `613` = 2.26749788061542, `614` = 2.82468867713131,     `615` = 2.3195107615215, `616` = 2.45284107326388, `617` = 2.56240566991253,     `618` = 3.5032340625682, `619` = 2.99012848419003, `620` = 3.69815882893603,     `621` = 2.90806077391049, `622` = 2.69781322229088, `623` = 3.14076048190506,     `624` = 4.49059794128407, `625` = 3.74525948670074, `626` = 2.36112028298741,     `627` = 2.40385272685886, `628` = 2.6893053745018, `629` = 2.3797231366545,     `630` = 2.71343039320212, `631` = 2.24472670443739, `632` = 2.93449351293732,     `633` = 4.64415079258173, `634` = 2.94929885043176, `635` = 2.8726564625836,     `636` = 2.61383490293316, `637` = 3.26153429983134, `638` = 2.47400494380402,     `639` = 3.01176455064242, `640` = 3.49592172694681, `641` = 2.67957734578401,     `642` = 3.17453140868152, `643` = 2.32665270498733, `644` = 2.7575036297423,     `645` = 2.0689328843544, `646` = 2.46785376746714, `647` = 3.32570305967851,     `648` = 0.905248324266446, `649` = 2.50428948117561, `650` = 2.53912900337754,     `651` = 2.3826549275648, `652` = 2.44542191253417, `653` = 2.62469142433065,     `654` = 2.65637163809148, `655` = 2.66860851254179, `656` = 2.38249985819357,     `657` = 2.66226570688936, `658` = 3.3192449193186, `659` = 2.73111344992993,     `660` = 3.04282974391802, `661` = 2.45256085675311, `662` = 2.67768607034304,     `663` = 2.77783018778015, `664` = 2.1579712498587, `665` = 2.37298409942318,     `666` = 3.77862150624116, `667` = 2.11634477584323, `668` = 2.94397684292152,     `669` = 2.36024450269283, `670` = 1.96870553397572, `671` = 1.70461446504352,     `672` = 2.11940451882738, `673` = 1.7263870453371, `674` = 2.08704111428627,     `675` = 2.95687309973058, `676` = 2.37665447487459, `677` = 3.15422627810539,     `678` = 2.49702523812035, `679` = 1.92644836113277, `680` = 2.34875871370472,     `681` = 2.22844659869117, `682` = 2.28679608898358, `683` = 2.62823063420633,     `684` = 2.45143195137904, `685` = 2.8489110203038, `686` = 2.65175935979436,     `687` = 2.88524094060349, `688` = 2.5952722765178, `689` = 2.37231532291548,     `690` = 2.76339467172705, `691` = 2.8873289565435, `692` = 2.30150257336182,     `693` = 2.49468059867389, `694` = 2.9386886921381, `695` = 3.75746997650522,     `696` = 2.66568016818031, `697` = 2.4930667288634, `698` = 3.13380307686093,     `699` = 2.10019517768552, `700` = 2.38255703596884, `701` = 2.86056652465783,     `702` = 2.25938206522155, `703` = 2.89379813499127, `704` = 2.25180330762531,     `705` = 2.65134453007541, `706` = 2.49261895369649, `707` = 2.92482004635633,     `708` = 2.99960795197273, `709` = 2.39534315168548, `710` = 2.80968394898164,     `711` = 1.5365706856904, `712` = 2.36240206475222, `713` = 1.74480446929666,     `714` = 2.69272631893605, `715` = 2.51260627559957, `716` = 2.46876974298805,     `717` = 2.40833157695587, `718` = 3.3687784443709, `719` = 2.5060766692575,     `720` = 3.76322910561409, `721` = 2.68274467180769, `722` = 2.73776984498368,     `723` = 3.20084163854064, `724` = 2.15532930018422, `725` = 2.37168049406483,     `726` = 2.49101118391487, `727` = 2.64893383948362, `728` = 2.55000347491773,     `729` = 2.23662652396895, `730` = 3.20003639165197, `731` = 2.66800696736024,     `732` = 3.05525636675038, `733` = 1.18148846416636, `734` = 3.54271987460358,     `735` = 2.99515813678729, `736` = 2.39151522397183, `737` = 2.38585928232041,     `738` = 3.08656767068624, `739` = 2.61626780552435, `740` = 2.97115704778034,     `741` = 3.03439656895824, `742` = 2.37931601007593, `743` = 2.33883331819551,     `744` = 1.60348696140688, `745` = 1.11688145045703, `746` = 2.57736600422859,     `747` = 2.66802533594202, `748` = 2.26404981534278, `749` = 3.07219106215321,     `750` = 2.77050828138718, `751` = 2.428794530875, `752` = 2.44110931378247,     `753` = 2.99082624009212, `754` = 2.80966642752265, `755` = 2.89406725105139,     `756` = 2.77030884986535, `757` = 4.15811193019416, `758` = 2.57886699953155,     `759` = 2.2280269081183, `760` = 2.23759767417144, `761` = 2.5058665552149,     `762` = 2.35823648366692, `763` = 2.57415384248165, `764` = 3.10240981596749,     `765` = 2.37066373006279, `766` = 1.26531154683944, `767` = 3.17649132143359,     `768` = 2.75939408955155, `769` = 2.92685172692651, `770` = 2.3324407578609,     `771` = 2.65018850565418, `772` = 1.61809174258647, `773` = 2.71163104961438,     `774` = 2.7686205447316, `775` = 2.07510786293649, `776` = 2.19346015793001,     `777` = 3.05666417694624, `778` = 2.61234105858666, `779` = 2.46128612603711,     `780` = 2.74057681523593, `781` = 1.82127812685098, `782` = 2.95877261683777,     `783` = 1.74839601569804, `784` = 1.88235766204648, `785` = 2.82663471616036,     `786` = 3.00464332237119, `787` = 1.84219985532157, `788` = 3.04630071488416,     `789` = 2.83071631673509, `790` = 2.50017115705951, `791` = 2.37261285446862,     `792` = 1.98067493063167, `793` = 2.47455687271204, `794` = 3.62089358349168,     `795` = 1.73327011655719, `796` = 1.99643069057204, `797` = 4.06628378549785,     `798` = 1.90545718313818, `799` = 1.36597756677296, `800` = 2.60145375327965    ), assign = list(`rcs(age, 4)` = 2:4, treat = 5L, sex = 6L,         `rcs(age, 4):treat` = 7:9, `rcs(age, 4):sex` = 10:12,         `treat:sex` = 13L, `rcs(age, 4):treat:sex` = 14:16),     qr = structure(list(qr = structure(c(-28.2842712474619, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 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"333", "334", "335", "336", "337", "338", "339", "340",         "341", "342", "343", "344", "345", "346", "347", "348",         "349", "350", "351", "352", "353", "354", "355", "356",         "357", "358", "359", "360", "361", "362", "363", "364",         "365", "366", "367", "368", "369", "370", "371", "372",         "373", "374", "375", "376", "377", "378", "379", "380",         "381", "382", "383", "384", "385", "386", "387", "388",         "389", "390", "391", "392", "393", "394", "395", "396",         "397", "398", "399", "400", "401", "402", "403", "404",         "405", "406", "407", "408", "409", "410", "411", "412",         "413", "414", "415", "416", "417", "418", "419", "420",         "421", "422", "423", "424", "425", "426", "427", "428",         "429", "430", "431", "432", "433", "434", "435", "436",         "437", "438", "439", "440", "441", "442", "443", "444",         "445", "446", "447", "448", "449", "450", "451", "452",         "453", "454", "455", "456", "457", 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sex=male",         "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",         "age'' * treat=placebo * sex=male"))), qraux = c(1.03535533905933,     1.06138486916177, 1.00204733190792, 1.00055266292105, 1.0290463838589,     1.03789725089091, 1.01648463412155, 1.00068622124879, 1.04076644795546,     1.04618259811035, 1.01988151430044, 1.03809279846412, 1.03661305226105,     1.12551360475444, 1.02472116042532, 1.04703590815754), pivot = 1:16,         tol = 2.22044604925031e-16, rank = 16L), class = "qr"),     df.residual = 784L, var = structure(c(0.836425390502694,     -0.0212848834556598, 0.0512825699211176, -0.184115577200964,     -0.836425390502695, -0.836425390502696, 0.0212848834556598,     -0.0512825699211177, 0.184115577200964, 0.0212848834556598,     -0.0512825699211177, 0.184115577200964, 0.836425390502696,     -0.0212848834556598, 0.0512825699211177, -0.184115577200964,     -0.0212848834556598, 0.000551286595299535, -0.00140546909686742,     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0.00314912019539668,     -0.0117757979020482, -0.0512825699211177, 0.00140546909686742,     -0.00463878381986734, 0.0189439273640901, 0.114344607106148,     0.0512825699211178, -0.00314912019539668, 0.0106133933039199,     -0.043988538139749, -0.00140546909686742, 0.00463878381986734,     -0.0189439273640901, -0.114344607106148, 0.00314912019539668,     -0.0106133933039199, 0.043988538139749, 0.184115577200964,     -0.00515538101632445, 0.0189439273640901, -0.0817449413547494,     -0.419224551439489, -0.184115577200965, 0.0117757979020482,     -0.043988538139749, 0.193194518446538, 0.00515538101632445,     -0.0189439273640901, 0.0817449413547493, 0.41922455143949,     -0.0117757979020482, 0.043988538139749, -0.193194518446538,     0.0212848834556598, -0.000551286595299535, 0.00140546909686742,     -0.00515538101632446, -0.0212848834556598, -0.0571784236329693,     0.000551286595299535, -0.00140546909686742, 0.00515538101632445,     0.00147933596588392, -0.00375673851431083, 0.0138385171219278,     0.0571784236329693, -0.00147933596588392, 0.00375673851431083,     -0.0138385171219278, -0.0512825699211177, 0.00140546909686742,     -0.00463878381986734, 0.0189439273640901, 0.0512825699211177,     0.138187486464013, -0.00140546909686742, 0.00463878381986734,     -0.0189439273640901, -0.00375673851431083, 0.0120057031151827,     -0.0489004666962014, -0.138187486464013, 0.00375673851431082,     -0.0120057031151827, 0.0489004666962014, 0.184115577200964,     -0.00515538101632445, 0.0189439273640901, -0.0817449413547494,     -0.184115577200964, -0.499407405474335, 0.00515538101632445,     -0.0189439273640901, 0.0817449413547493, 0.0138385171219278,     -0.0489004666962014, 0.210101009164533, 0.499407405474335,     -0.0138385171219278, 0.0489004666962014, -0.210101009164533,     0.836425390502696, -0.0212848834556599, 0.0512825699211178,     -0.184115577200965, -1.78217595691818, -2.24452904108481,     0.0457435036357167, -0.114344607106148, 0.41922455143949,     0.0571784236329693, -0.138187486464013, 0.499407405474335,     4.01392907467183, -0.103257489020622, 0.257419561496252,     -0.941267592738115, -0.0212848834556598, 0.000551286595299535,     -0.00140546909686742, 0.00515538101632446, 0.0457435036357167,     0.0571784236329693, -0.00119429035854966, 0.00314912019539668,     -0.0117757979020482, -0.00147933596588392, 0.00375673851431082,     -0.0138385171219278, -0.103257489020622, 0.00270331398813018,     -0.00710766519948597, 0.0265004210700546, 0.0512825699211177,     -0.00140546909686742, 0.00463878381986735, -0.0189439273640902,     -0.114344607106148, -0.138187486464013, 0.00314912019539668,     -0.0106133933039199, 0.043988538139749, 0.00375673851431083,     -0.0120057031151827, 0.0489004666962014, 0.257419561496252,     -0.00710766519948597, 0.0236181254277507, -0.0972117419383224,     -0.184115577200964, 0.00515538101632445, -0.0189439273640901,     0.0817449413547495, 0.419224551439489, 0.499407405474335,     -0.0117757979020482, 0.043988538139749, -0.193194518446538,     -0.0138385171219278, 0.0489004666962014, -0.210101009164533,     -0.941267592738115, 0.0265004210700546, -0.0972117419383224,     0.42226391498444), dim = c(16L, 16L), dimnames = list(c("Intercept",     "age", "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"), c("Intercept", "age",     "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"))), stats = c(n = 800,     `Model L.R.` = 198.733217877431, d.f. = 15, R2 = 0.219965026393617,     g = 0.585082032793052, Sigma = 1.05797963607968), linear.predictors = c(`1` = 1.8273464762968,     `2` = 2.6542796288188, `3` = 2.91235879550687, `4` = 2.62632478687051,     `5` = 2.37478067233776, `6` = 2.57126669833247, `7` = 2.29342830409831,     `8` = 2.91272324756385, `9` = 2.7720149889747, `10` = 2.61802501930452,     `11` = 2.83995582973133, `12` = 3.15822090879926, `13` = 2.7318330139736,     `14` = 0.923092063185215, `15` = 2.35638427355456, `16` = 3.21291450377986,     `17` = 2.85930487738867, `18` = 1.85471780857574, `19` = 2.59507849617468,     `20` = 2.77516156003148, `21` = 2.37468336722965, `22` = 2.94734075955842,     `23` = 2.71890305200674, `24` = 2.56690580859943, `25` = 2.62312595210793,     `26` = 2.69985921118831, `27` = 2.46142105713551, `28` = 4.81182749551602,     `29` = 1.78100545234006, `30` = 2.51087836642562, `31` = 2.18383381057564,     `32` = 3.12042045378319, `33` = 2.962998524365, `34` = 2.17134047276968,     `35` = 2.49370220032693, `36` = 2.95708295768924, `37` = 4.12990022922827,     `38` = 2.68438147115392, `39` = 2.20205567454462, `40` = 1.89621933065192,     `41` = 3.17300922223564, `42` = 1.36495515601018, `43` = 4.9162768756297,     `44` = 2.34843367978997, `45` = 2.2828688390031, `46` = 2.47656065356765,     `47` = 3.35155981290649, `48` = 2.68466198933939, `49` = 1.72312215469336,     `50` = 2.5545423995087, `51` = 2.75451955418949, `52` = 2.82193431350933,     `53` = 2.40214416391366, `54` = 0.959203672924118, `55` = 2.43423806672798,     `56` = 2.38707792981996, `57` = 2.37029134741965, `58` = 2.24561426606161,     `59` = 2.30349409111093, `60` = 2.43894245579633, `61` = 2.82061452685481,     `62` = 3.40279330285509, `63` = 2.02110598950698, `64` = 2.43980467959036,     `65` = 2.55818586752441, `66` = 3.81749524286754, `67` = 2.55797249452663,     `68` = 1.86026293864306, `69` = 2.64852423658387, `70` = 2.39078281119623,     `71` = 4.20728393693173, `72` = 2.73321470694733, `73` = 2.13299125795756,     `74` = 2.40078521835743, `75` = 2.38732388647639, `76` = 2.48663441342883,     `77` = 2.48319236767406, `78` = 3.33474920590903, `79` = 2.72652344572814,     `80` = 2.502890404923, `81` = 2.38653230290044, `82` = 2.81510053286542,     `83` = 2.48414658771294, `84` = 2.62268592379984, `85` = 3.0651368477459,     `86` = 3.15791582696985, `87` = 2.24559620887642, `88` = 3.13179459683268,     `89` = 1.97357557764259, `90` = 2.77282308095323, `91` = 2.74016188199839,     `92` = 2.45176950529484, `93` = 3.32531928953431, `94` = 2.19751752606572,     `95` = 2.72674714579747, `96` = 2.42192340543888, `97` = 1.93076371222272,     `98` = 3.62929473538996, `99` = 1.35369434987869, `100` = 2.2547370962648,     `101` = 1.94409001325824, `102` = 2.62880112621963, `103` = 2.77137140917496,     `104` = 1.95738338715501, `105` = 2.72049174848199, `106` = 2.40243453220378,     `107` = 3.09735812074682, `108` = 2.75153859240597, `109` = 2.7634794003779,     `110` = 2.05813014540498, `111` = 2.65985862884668, `112` = 2.46522299246837,     `113` = 1.5703781919029, `114` = 2.69035917134868, `115` = 4.20861430662284,     `116` = 2.37125443702692, `117` = 2.36705613621479, `118` = 2.85308469084743,     `119` = 2.5415194010717, `120` = 3.15710460382206, `121` = 2.77865444148754,     `122` = 3.2954859943684, `123` = 2.70726046586218, `124` = 2.42473855283583,     `125` = 2.75546009888392, `126` = 1.93535012472394, `127` = 2.21956899382337,     `128` = 2.48911632772296, `129` = 2.93859012435979, `130` = 2.5501671026405,     `131` = 2.86395308616895, `132` = 2.9325665637652, `133` = 2.49741866101599,     `134` = 1.15477002080841, `135` = 2.85906509967744, `136` = 3.21480202919142,     `137` = 2.64844922449584, `138` = 1.81624171593204, `139` = 2.50256109585425,     `140` = 2.06026174870399, `141` = 2.41347967088569, `142` = 2.82647702488726,     `143` = 3.28776560599656, `144` = 2.74957705273186, `145` = 2.06055571226601,     `146` = 3.23783901748259, `147` = 3.0579009438373, `148` = 3.23597166652999,     `149` = 2.21636165136686, `150` = 2.77037519109151, `151` = 3.14335945231959,     `152` = 2.39156945942855, `153` = 2.78704915422625, `154` = 2.63941496646989,     `155` = 2.58610032037074, `156` = 2.70144690395644, `157` = 2.90426129456847,     `158` = 2.88420138031662, `159` = 2.39479076403391, `160` = 2.80509075142565,     `161` = 2.37161390962301, `162` = 2.41992065646662, `163` = 2.9052094221091,     `164` = 3.22550263914549, `165` = 1.73315464210068, `166` = 2.43142907624064,     `167` = 3.87849162526757, `168` = 1.08194647347416, `169` = 2.84365960719609,     `170` = 2.31147636681322, `171` = 2.76523847380424, `172` = 2.88117058586849,     `173` = 2.04732981907891, `174` = 2.07915665869094, `175` = 3.08110988123108,     `176` = 2.04592349294163, `177` = 2.56700092604082, `178` = 2.77907881429002,     `179` = 3.17846678411757, `180` = 2.65038681640476, `181` = 2.92913414157109,     `182` = 2.63780063630832, `183` = 2.45550173098484, `184` = 2.78684913414774,     `185` = 2.60955074916775, `186` = 2.67430224080449, `187` = 2.3114710982275,     `188` = 2.41392007655519, `189` = 2.85514775159917, `190` = 2.82657039075926,     `191` = 2.27203654778748, `192` = 2.37030879867869, `193` = 2.78189657176958,     `194` = 3.01888613570589, `195` = 2.66860452934713, `196` = 2.5229466489951,     `197` = 1.96437460612657, `198` = 2.29586715480886, `199` = 2.53040196702745,     `200` = 2.17979970489295, `201` = 2.99968367627667, `202` = 2.99303164445703,     `203` = 2.09396489715103, `204` = 2.63747526906564, `205` = 2.63430036234606,     `206` = 1.62346827950003, `207` = 2.86309558489206, `208` = 1.26999728769122,     `209` = 1.72020445809491, `210` = 2.91311906510036, `211` = 2.43319556057215,     `212` = 2.39109250097856, `213` = 1.6492458519465, `214` = 1.99197336957605,     `215` = 2.55334196204763, `216` = 2.41675268048625, `217` = 2.4118017030696,     `218` = 1.82904370247393, `219` = 1.96972936169113, `220` = 4.48347814044753,     `221` = 2.43357782876622, `222` = 2.88429652654287, `223` = 3.21160807310651,     `224` = 2.85022603796191, `225` = 2.52882699909125, `226` = 2.0957307798493,     `227` = 1.87895581468756, `228` = 3.18065900342439, `229` = 2.47307935938645,     `230` = 2.78536931497109, `231` = 2.19076727042225, `232` = 2.41128760676261,     `233` = 2.37131981545313, `234` = 2.55303760371157, `235` = 2.9199693414722,     `236` = 2.60397022793523, `237` = 2.35726095482352, `238` = 2.87899977284871,     `239` = 3.13468726875723, `240` = 2.58696063484866, `241` = 2.93480037321797,     `242` = 2.52196476517132, `243` = 2.23386570374798, `244` = 1.93400574589039,     `245` = 4.36159183616138, `246` = 3.30181888171832, `247` = 2.87275271626973,     `248` = 2.68680493967785, `249` = 2.9472147026804, `250` = 2.67701679026062,     `251` = 2.43874412812383, `252` = 2.69832522750769, `253` = 2.39815127697227,     `254` = 3.27416880961077, `255` = 2.89420394072003, `256` = 2.46206595690653,     `257` = 3.02161363337767, `258` = 2.37253590878611, `259` = 3.14803716395551,     `260` = 2.30477591805902, `261` = 1.20593814723825, `262` = 3.06200642364828,     `263` = 2.99889777179038, `264` = 2.14282555354455, `265` = 2.01335804244271,     `266` = 1.32272589615639, `267` = 2.45487059993715, `268` = 1.51492463330488,     `269` = 2.31193380003934, `270` = 2.69797296272068, `271` = 3.27746164011552,     `272` = 2.37320371671454, `273` = 2.44765266363073, `274` = 2.76426830101752,     `275` = 3.14991474578698, `276` = 1.91281943159906, `277` = 1.47871083226282,     `278` = 2.66139783025367, `279` = 3.0068312744844, `280` = 2.40803144249423,     `281` = 3.19967771868625, `282` = 2.38442996368075, `283` = 2.74742751208274,     `284` = 2.74151591243007, `285` = 2.53430303102901, `286` = 2.13304771295534,     `287` = 3.03502047926305, `288` = 2.40927804101479, `289` = 2.84449715484632,     `290` = 2.69872269248432, `291` = 4.2167466822975, `292` = 2.86134949044519,     `293` = 2.3240990316239, `294` = 2.58529458327362, `295` = 2.589177826791,     `296` = 1.65132282111858, `297` = 4.12860304687622, `298` = 2.9788838201833,     `299` = 2.03941888516452, `300` = 2.74426480590544, `301` = 2.70375821808304,     `302` = 2.42445684795484, `303` = 3.91189357427476, `304` = 2.46328928597437,     `305` = 2.71213347425702, `306` = 2.75078140564015, `307` = 2.39519608769782,     `308` = 1.97652601737173, `309` = 2.49237836450657, `310` = 3.02437447193905,     `311` = 2.63718302354101, `312` = 2.85937900798305, `313` = 2.54616629469414,     `314` = 2.7903511279751, `315` = 1.61496522808629, `316` = 2.84844468900093,     `317` = 2.37133176406135, `318` = 2.2342212333381, `319` = 2.39493857884649,     `320` = 1.88745641232398, `321` = 2.39649029076404, `322` = 2.25072436441753,     `323` = 2.36943155133288, `324` = 2.42743673231805, `325` = 2.97791930992207,     `326` = 2.09234168848051, `327` = 2.36240634177489, `328` = 1.1105791288804,     `329` = 2.37013324391512, `330` = 2.26471337954389, `331` = 3.05444517174529,     `332` = 2.38980742161709, `333` = 2.37786232477323, `334` = 1.78990970602347,     `335` = 2.70944370588652, `336` = 3.5683141888971, `337` = 2.44134246962534,     `338` = 2.25972174620225, `339` = 3.00918859646008, `340` = 2.18586223684944,     `341` = 2.74330408539129, `342` = 2.86867416819939, `343` = 2.06826131293291,     `344` = 3.63151763911666, `345` = 2.85886713213127, `346` = 2.21985116812454,     `347` = 2.3815434508579, `348` = 2.41350923720854, `349` = 2.89843556037318,     `350` = 2.23898268719741, `351` = 1.29584077798455, `352` = 2.51159663534582,     `353` = 2.85257238541717, `354` = 1.77903202336168, `355` = 2.55028022270778,     `356` = 2.44782824590644, `357` = 2.46271608796213, `358` = 2.51685373998414,     `359` = 2.41583566834669, `360` = 2.3728907565472, `361` = 2.369454773508,     `362` = 3.29250303236263, `363` = 2.66285306254625, `364` = 2.49029698546202,     `365` = 1.05306070502084, `366` = 1.86455368138798, `367` = 2.88031132181863,     `368` = 2.30036007798452, `369` = 2.11837578996616, `370` = 2.40083223927156,     `371` = 2.29153752579909, `372` = 2.44953094562367, `373` = 2.62721713144288,     `374` = 3.9441196218975, `375` = 2.9557674025679, `376` = 3.66113529407979,     `377` = 2.32038023868864, `378` = 2.87211440331623, `379` = 2.39293831188164,     `380` = 2.51344798573844, `381` = 4.63994090353258, `382` = 2.42205148785717,     `383` = 2.33462597983624, `384` = 2.23050814284012, `385` = 2.88331664462298,     `386` = 4.55690943309283, `387` = 2.58261047793064, `388` = 2.54193081869031,     `389` = 4.52295683194619, `390` = 2.14060027084606, `391` = 2.99869748680244,     `392` = 2.26250701192594, `393` = 2.01249031809818, `394` = 2.97085385284773,     `395` = 2.64468402413129, `396` = 2.33395576477012, `397` = 2.63502066231726,     `398` = 2.24915693049968, `399` = 2.58574738517705, `400` = 2.3716272899945,     `401` = 1.69024305202187, `402` = 3.19926868492288, `403` = 1.77606477443688,     `404` = 1.64318193529478, `405` = 2.83237040517646, `406` = 2.88901243357697,     `407` = 2.40363001910485, `408` = 2.56124257441973, `409` = 3.15661085878286,     `410` = 3.01754450476663, `411` = 1.66908846281502, `412` = 3.04638461915898,     `413` = 2.4902496498083, `414` = 2.32355269847258, `415` = 3.20708965017669,     `416` = 2.94047492110776, `417` = 3.039308895143, `418` = 2.4463121970276,     `419` = 2.85372829272876, `420` = 2.52921117908114, `421` = 2.20126381165548,     `422` = 3.67012958834098, `423` = 2.67998235983964, `424` = 2.48875766442306,     `425` = 2.98395742646305, `426` = 2.86885943428284, `427` = 2.36948098545145,     `428` = 2.41007394201668, `429` = 3.32665939652036, `430` = 2.60667304612803,     `431` = 2.3375066389785, `432` = 3.1650659263681, `433` = 2.87830655726086,     `434` = 2.24977346407656, `435` = 2.41284105666922, `436` = 2.87304300931647,     `437` = 2.46339398769293, `438` = 2.94459097140992, `439` = 2.44625020909451,     `440` = 1.88518695389097, `441` = 2.63410511427251, `442` = 3.31221841531284,     `443` = 1.75003520014887, `444` = 2.03294189166507, `445` = 1.66007689915753,     `446` = 2.29814525739876, `447` = 3.06648380940822, `448` = 2.57970479276396,     `449` = 2.36683669531664, `450` = 2.4670869173179, `451` = 2.44602851362862,     `452` = 3.45053339543596, `453` = 3.28071687825047, `454` = 3.04908277183995,     `455` = 2.37763546512344, `456` = 2.26398601372506, `457` = 2.692748575164,     `458` = 2.62690602442052, `459` = 2.71352920569489, `460` = 2.47429183434904,     `461` = 2.4039247810575, `462` = 1.93412621996201, `463` = 2.38480340226842,     `464` = 2.07063510996225, `465` = 2.40690117392684, `466` = 2.42420000654002,     `467` = 2.81475506919669, `468` = 2.20640905191678, `469` = 2.37632831310256,     `470` = 3.53490867501887, `471` = 3.41002468731006, `472` = 2.75092976639121,     `473` = 3.09480651714885, `474` = 1.90007305083701, `475` = 3.2296327868531,     `476` = 3.02534506485739, `477` = 2.53398829371899, `478` = 2.82791722535193,     `479` = 2.55583773830625, `480` = 2.59402715530063, `481` = 1.6781326990062,     `482` = 2.87293840540908, `483` = 4.03969129126323, `484` = 3.19450816106775,     `485` = 2.68239952858409, `486` = 2.39405541049845, `487` = 2.71100128720999,     `488` = 3.00282156550285, `489` = 3.40302266876215, `490` = 2.88352616157181,     `491` = 3.52856064048011, `492` = 2.62144967861979, `493` = 2.77538989742825,     `494` = 3.59999333050544, `495` = 6.16348972719813, `496` = 2.4891599433751,     `497` = 2.37034460924193, `498` = 2.59980779332976, `499` = 2.30071384805534,     `500` = 3.07614227765401, `501` = 2.73259013984369, `502` = 3.25338285299229,     `503` = 2.04661688530079, `504` = 2.119780819561, `505` = 3.11313609957979,     `506` = 2.6988744349033, `507` = 2.38395417253592, `508` = 2.18648950581266,     `509` = 2.42837885798354, `510` = 2.68221147267643, `511` = 2.25428068095068,     `512` = 3.75887229099597, `513` = 2.65473882617471, `514` = 2.69017623822354,     `515` = 2.62515548587877, `516` = 2.34064129442189, `517` = 2.37656062416954,     `518` = 3.11073225841166, `519` = 1.65824952962201, `520` = 3.05076882119208,     `521` = 2.50896463090888, `522` = 2.77691889731644, `523` = 2.48655516799708,     `524` = 2.4847705304522, `525` = 2.83484261483298, `526` = 2.39148791182408,     `527` = 3.08293761712995, `528` = 2.11610089991802, `529` = 1.5441706288409,     `530` = 2.29338823560684, `531` = 2.2357005930668, `532` = 2.00046452981165,     `533` = 2.46775766392926, `534` = 2.37518687841549, `535` = 2.26924539949773,     `536` = 2.69708958988384, `537` = 1.7759969284976, `538` = 2.87932697846107,     `539` = 2.51924964421704, `540` = 2.41448920694114, `541` = 2.73088979297616,     `542` = 2.33592937775142, `543` = 2.42699526496006, `544` = 3.26971833241992,     `545` = 3.80927075812981, `546` = 3.64604939844582, `547` = 1.96050051349709,     `548` = 2.37166914445101, `549` = 2.60110158015077, `550` = 2.19353040701009,     `551` = 1.66039378190514, `552` = 2.81717036355495, `553` = 2.63349707431426,     `554` = 2.69710127484472, `555` = 1.90798875869868, `556` = 2.31371567893383,     `557` = 1.77090083956038, `558` = 2.37391574467976, `559` = 2.50262689711419,     `560` = 2.31168914410283, `561` = 2.22625805533233, `562` = 1.68021749593895,     `563` = 2.51377897825149, `564` = 2.09808172086947, `565` = 3.09578583530429,     `566` = 2.19900715901313, `567` = 1.80979414421884, `568` = 1.78503396884665,     `569` = 2.50774132675897, `570` = 2.49239230729125, `571` = 2.76211802056802,     `572` = 2.4495274017885, `573` = 3.28892969636115, `574` = 3.15211213487484,     `575` = 2.92840573999153, `576` = 2.7042293900111, `577` = 2.94371744049618,     `578` = 2.47580774375233, `579` = 2.92455079876968, `580` = 2.57811464680771,     `581` = 2.09501725666443, `582` = 2.11233201384487, `583` = 2.17435383560045,     `584` = 2.36979159264026, `585` = 2.67342838683219, `586` = 2.56022536590253,     `587` = 2.37232436135092, `588` = 2.27233056465191, `589` = 3.0468428457455,     `590` = 2.55069457032584, `591` = 2.09756322003269, `592` = 2.40306812582161,     `593` = 2.45500210452847, `594` = 2.86907537820904, `595` = 2.60261574773351,     `596` = 2.46107520830906, `597` = 1.85902245529062, `598` = 2.89225570374173,     `599` = 2.65436849639519, `600` = 2.87087714348427, `601` = 3.46886542980082,     `602` = 2.68512701414622, `603` = 2.35003691394945, `604` = 2.14627270516146,     `605` = 2.23384069990504, `606` = 2.26441295743203, `607` = 2.85303023058625,     `608` = 2.52519561937849, `609` = 1.57105260574496, `610` = 2.37037349981258,     `611` = 3.04865674785886, `612` = 2.66980960831409, `613` = 2.26749788061542,     `614` = 2.82468867713131, `615` = 2.3195107615215, `616` = 2.45284107326388,     `617` = 2.56240566991253, `618` = 3.5032340625682, `619` = 2.99012848419003,     `620` = 3.69815882893603, `621` = 2.90806077391049, `622` = 2.69781322229088,     `623` = 3.14076048190506, `624` = 4.49059794128407, `625` = 3.74525948670074,     `626` = 2.36112028298741, `627` = 2.40385272685886, `628` = 2.6893053745018,     `629` = 2.3797231366545, `630` = 2.71343039320212, `631` = 2.24472670443739,     `632` = 2.93449351293732, `633` = 4.64415079258173, `634` = 2.94929885043176,     `635` = 2.8726564625836, `636` = 2.61383490293316, `637` = 3.26153429983134,     `638` = 2.47400494380402, `639` = 3.01176455064242, `640` = 3.49592172694681,     `641` = 2.67957734578401, `642` = 3.17453140868152, `643` = 2.32665270498733,     `644` = 2.7575036297423, `645` = 2.0689328843544, `646` = 2.46785376746714,     `647` = 3.32570305967851, `648` = 0.905248324266446, `649` = 2.50428948117561,     `650` = 2.53912900337754, `651` = 2.3826549275648, `652` = 2.44542191253417,     `653` = 2.62469142433065, `654` = 2.65637163809148, `655` = 2.66860851254179,     `656` = 2.38249985819357, `657` = 2.66226570688936, `658` = 3.3192449193186,     `659` = 2.73111344992993, `660` = 3.04282974391802, `661` = 2.45256085675311,     `662` = 2.67768607034304, `663` = 2.77783018778015, `664` = 2.1579712498587,     `665` = 2.37298409942318, `666` = 3.77862150624116, `667` = 2.11634477584323,     `668` = 2.94397684292152, `669` = 2.36024450269283, `670` = 1.96870553397572,     `671` = 1.70461446504352, `672` = 2.11940451882738, `673` = 1.7263870453371,     `674` = 2.08704111428627, `675` = 2.95687309973058, `676` = 2.37665447487459,     `677` = 3.15422627810539, `678` = 2.49702523812035, `679` = 1.92644836113277,     `680` = 2.34875871370472, `681` = 2.22844659869117, `682` = 2.28679608898358,     `683` = 2.62823063420633, `684` = 2.45143195137904, `685` = 2.8489110203038,     `686` = 2.65175935979436, `687` = 2.88524094060349, `688` = 2.5952722765178,     `689` = 2.37231532291548, `690` = 2.76339467172705, `691` = 2.8873289565435,     `692` = 2.30150257336182, `693` = 2.49468059867389, `694` = 2.9386886921381,     `695` = 3.75746997650522, `696` = 2.66568016818031, `697` = 2.4930667288634,     `698` = 3.13380307686093, `699` = 2.10019517768552, `700` = 2.38255703596884,     `701` = 2.86056652465783, `702` = 2.25938206522155, `703` = 2.89379813499127,     `704` = 2.25180330762531, `705` = 2.65134453007541, `706` = 2.49261895369649,     `707` = 2.92482004635633, `708` = 2.99960795197273, `709` = 2.39534315168548,     `710` = 2.80968394898164, `711` = 1.5365706856904, `712` = 2.36240206475222,     `713` = 1.74480446929666, `714` = 2.69272631893605, `715` = 2.51260627559957,     `716` = 2.46876974298805, `717` = 2.40833157695587, `718` = 3.3687784443709,     `719` = 2.5060766692575, `720` = 3.76322910561409, `721` = 2.68274467180769,     `722` = 2.73776984498368, `723` = 3.20084163854064, `724` = 2.15532930018422,     `725` = 2.37168049406483, `726` = 2.49101118391487, `727` = 2.64893383948362,     `728` = 2.55000347491773, `729` = 2.23662652396895, `730` = 3.20003639165197,     `731` = 2.66800696736024, `732` = 3.05525636675038, `733` = 1.18148846416636,     `734` = 3.54271987460358, `735` = 2.99515813678729, `736` = 2.39151522397183,     `737` = 2.38585928232041, `738` = 3.08656767068624, `739` = 2.61626780552435,     `740` = 2.97115704778034, `741` = 3.03439656895824, `742` = 2.37931601007593,     `743` = 2.33883331819551, `744` = 1.60348696140688, `745` = 1.11688145045703,     `746` = 2.57736600422859, `747` = 2.66802533594202, `748` = 2.26404981534278,     `749` = 3.07219106215321, `750` = 2.77050828138718, `751` = 2.428794530875,     `752` = 2.44110931378247, `753` = 2.99082624009212, `754` = 2.80966642752265,     `755` = 2.89406725105139, `756` = 2.77030884986535, `757` = 4.15811193019416,     `758` = 2.57886699953155, `759` = 2.2280269081183, `760` = 2.23759767417144,     `761` = 2.5058665552149, `762` = 2.35823648366692, `763` = 2.57415384248165,     `764` = 3.10240981596749, `765` = 2.37066373006279, `766` = 1.26531154683944,     `767` = 3.17649132143359, `768` = 2.75939408955155, `769` = 2.92685172692651,     `770` = 2.3324407578609, `771` = 2.65018850565418, `772` = 1.61809174258647,     `773` = 2.71163104961438, `774` = 2.7686205447316, `775` = 2.07510786293649,     `776` = 2.19346015793001, `777` = 3.05666417694624, `778` = 2.61234105858666,     `779` = 2.46128612603711, `780` = 2.74057681523593, `781` = 1.82127812685098,     `782` = 2.95877261683777, `783` = 1.74839601569804, `784` = 1.88235766204648,     `785` = 2.82663471616036, `786` = 3.00464332237119, `787` = 1.84219985532157,     `788` = 3.04630071488416, `789` = 2.83071631673509, `790` = 2.50017115705951,     `791` = 2.37261285446862, `792` = 1.98067493063167, `793` = 2.47455687271204,     `794` = 3.62089358349168, `795` = 1.73327011655719, `796` = 1.99643069057204,     `797` = 4.06628378549785, `798` = 1.90545718313818, `799` = 1.36597756677296,     `800` = 2.60145375327965), call = ols(formula = y ~ rcs(age,         4) * treat * sex), terms = y ~ rcs(age, 4) * treat *         sex, Design = list(name = c("age", "treat", "sex", "age * treat",     "age * sex", "treat * sex", "age * treat * sex"), label = c("age",     "treat", "sex", "age * treat", "age * sex", "treat * sex",     "age * treat * sex"), units = c(age = "", treat = "", sex = ""    ), colnames = c("age", "age'", "age''", "treat=placebo",     "sex=male", "age * treat=placebo", "age' * treat=placebo",     "age'' * treat=placebo", "age * sex=male", "age' * sex=male",     "age'' * sex=male", "treat=placebo * sex=male", "age * treat=placebo * sex=male",     "age' * treat=placebo * sex=male", "age'' * treat=placebo * sex=male"    ), mmcolnames = c("rcs(age, 4)age", "rcs(age, 4)age'", "rcs(age, 4)age''",     "treatplacebo", "sexmale", "rcs(age, 4)age:treatplacebo",     "rcs(age, 4)age':treatplacebo", "rcs(age, 4)age'':treatplacebo",     "rcs(age, 4)age:sexmale", "rcs(age, 4)age':sexmale", "rcs(age, 4)age'':sexmale",     "treatplacebo:sexmale", "rcs(age, 4)age:treatplacebo:sexmale",     "rcs(age, 4)age':treatplacebo:sexmale", "rcs(age, 4)age'':treatplacebo:sexmale"    ), assume = c("rcspline", "category", "category", "interaction",     "interaction", "interaction", "interaction"), assume.code = c(4L,     5L, 5L, 9L, 9L, 9L, 9L), parms = list(age = c(33.006063739913,     46.0450788298244, 53.6005047434426, 67.3753079336887), treat = c("drug",     "placebo"), sex = c("female", "male"), `age * treat` = structure(c(1,     2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `age * sex` = structure(c(1,     3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `treat * sex` = structure(c(2,     3, 0, 0, 0, 0), dim = 3:2, dimnames = list(NULL, c("parms",     ""))), `age * treat * sex` = structure(c(1L, 2L, 3L, 0L,     0L, 0L, 1L, 0L, 0L, 1L, 0L, 0L), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", "")))), limits = list(), values = list(),         nonlinear = list(age = c(FALSE, TRUE, TRUE), treat = FALSE,             sex = FALSE, `age * treat` = c(FALSE, TRUE, TRUE),             `age * sex` = c(FALSE, TRUE, TRUE), `treat * sex` = FALSE,             `age * treat * sex` = c(FALSE, TRUE, TRUE)), tex = list(),         interactions = structure(c(1, 2, 0, 1, 3, 0, 2, 3, 0,         1, 2, 3), dim = 3:4)), non.slopes = 1, na.action = NULL,     scale.pred = "y", fail = FALSE, sformula = y ~ rcs(age, 4) *         treat * sex), class = c("ols", "rms", "lm")), factors = list(    x2 = c("b", "c")), expand = TRUE): factor(s) not in design: x2

# Repeat with a redundancy; compare a vs b, a vs c, b vs c

contrast(f, list(x2=c('a','a','b')), list(x2=c('b','c','c')), type='joint')
#> Error in gendata(structure(list(coefficients = c(Intercept = 3.81130652398641, age = -0.0364542267418386, `age'` = 0.148834151508506, `age''` = -0.308632674204754, `treat=placebo` = -4.30283998912834, `sex=male` = -4.63346348145351, `age * treat=placebo` = 0.0998279739052187, `age' * treat=placebo` = -0.213913393443712, `age'' * treat=placebo` = 0.67409687853917, `age * sex=male` = 0.104212923375674, `age' * sex=male` = -0.158890866453074, `age'' * sex=male` = 0.246292360607691, `treat=placebo * sex=male` = 5.22560180935418, `age * treat=placebo * sex=male` = -0.114281894990881, `age' * treat=placebo * sex=male` = 0.190288298144725, `age'' * treat=placebo * sex=male` = -0.531569263503839), residuals = c(`1` = 0.473393142582745, `2` = -0.141559791486677, `3` = -0.788168025049547, `4` = 0.21054460675534, `5` = -0.052168426620235, `6` = 0.761192562957081, `7` = 0.294525427210084, `8` = 0.778992893373488, `9` = 0.417287271554842, `10` = 0.290026003424354, `11` = 0.77328492180143, `12` = -2.21856076335012, `13` = 0.620135735603211, `14` = -0.982486976113407, `15` = 0.389096872806126, `16` = 1.59165472133739, `17` = -0.409213518976697, `18` = -1.01752036715792, `19` = -0.181346995214259, `20` = 1.55581748864713, `21` = 0.139346338170896, `22` = 0.182066734033289, `23` = -0.618424389312127, `24` = -0.554081714108963, `25` = -0.171166590200338, `26` = -1.62301559024683, `27` = 1.27268310855217, `28` = -0.297789023228669, `29` = -1.9880106628626, `30` = -0.0368175155551034, `31` = -0.196960382730091, `32` = -1.51235368602801, `33` = 2.09241307495163, `34` = -1.07041636223387, `35` = -1.24454134745706, `36` = 0.576950328441049, `37` = 0.521488615375679, `38` = -0.229134628183383, `39` = 0.00400141112061388, `40` = -0.990190237387313, `41` = 1.2851274365228, `42` = 0.412589547973587, `43` = -0.787399977989638, `44` = 0.769006437456616, `45` = 0.988895426233647, `46` = -0.630295684848831, `47` = 0.562724155069554, `48` = -1.02269815967957, `49` = 2.02836178241615, `50` = 0.578962554814852, `51` = -0.0651227409029367, `52` = -0.482601584661845, `53` = -0.122710775094478, `54` = -0.745924474389847, `55` = 0.129232404629066, `56` = 0.69644800326718, `57` = -0.383650193614412, `58` = -1.03505602134916, `59` = -1.63181622155276, `60` = 0.629963250715442, `61` = 0.411215136470065, `62` = -0.127687518348258, `63` = -0.469469751114936, `64` = 0.318556449350774, `65` = -1.25267393092262, `66` = -1.39145828713222, `67` = -1.50318216737249, `68` = -0.570988109041285, `69` = 0.758112000717413, `70` = 0.764329699642486, `71` = -0.499944600769316, `72` = 1.3565106792036, `73` = -1.09027293012492, `74` = -0.393603041309807, `75` = -0.620376160132382, `76` = 0.265615235504436, `77` = -1.6461764280938, `78` = 1.2659298679682, `79` = 1.14059651838309, `80` = 0.791415273046844, `81` = 0.0314759530563674, `82` = 1.15851435544224, `83` = 0.471405507875407, `84` = 0.927581672841119, `85` = 0.164476032654289, `86` = 0.510352863388586, `87` = -2.33584512359756, `88` = -0.34780227924363, `89` = 1.10708324238512, `90` = 0.094798752715391, `91` = -1.23649875869111, `92` = -0.910146298085997, `93` = -0.683990253631276, `94` = 2.09490238568856, `95` = -0.0760714931017753, `96` = -0.573286663753271, `97` = -1.98908763334468, `98` = -1.81647642962243, `99` = 1.32438574368848, `100` = -0.86903377235127, `101` = 1.40641158624571, `102` = -0.360743393233509, `103` = -2.33335838717408, `104` = 2.17624702802662, `105` = -0.977495246805378, `106` = -0.408795499563846, `107` = 0.157762335504203, `108` = -0.133874450719822, `109` = -1.4245090565002, `110` = -1.53795672784485, `111` = 1.28342330422267, `112` = -0.905054646526503, `113` = 1.02311908315981, `114` = 1.67008317138642, `115` = -0.71401825217723, `116` = -0.578153505698901, `117` = -1.95986738456425, `118` = 1.89141370855209, `119` = -0.779653582026061, `120` = -0.0632922274198554, `121` = -1.27400237607834, `122` = 1.10713913145023, `123` = 1.57817020329863, `124` = 0.302648894059498, `125` = -0.44530813884912, `126` = -1.56720865277409, `127` = 1.26760092041906, `128` = 0.702371105475438, `129` = -0.0126092509352822, `130` = 1.3261327498269, `131` = 1.34157201563317, `132` = -0.437113083384821, `133` = -1.22319240883817, `134` = 1.10738117649282, `135` = 0.732099554148857, `136` = -0.131637260437666, `137` = 3.03471394221772, `138` = -2.54280583571282, `139` = -0.194474563460366, `140` = 1.11126010268969, `141` = 1.54804718702491, `142` = 0.987423986854891, `143` = 0.2270208340922, `144` = 0.774506729389174, `145` = 0.530040440803476, `146` = 0.0480187567561099, `147` = -0.760816625072516, `148` = 1.60621319216395, `149` = -0.314437680874743, `150` = -0.327722008888805, `151` = 0.206624190196415, `152` = 0.0617307906368444, `153` = -2.00040383856708, `154` = -0.458530949692246, `155` = 0.458977472470989, `156` = 1.19787630775429, `157` = -1.19270271783315, `158` = -0.625978129815824, `159` = -2.33795700121927, `160` = 0.69145784309282, `161` = 0.133499618785992, `162` = 0.861126548699294, `163` = -0.968400958900246, `164` = 0.593799579402085, `165` = 0.999546907045159, `166` = -0.165590178876463, `167` = 0.927907153642925, `168` = 0.97708644273119, `169` = -1.56469829290578, `170` = 0.325942381829308, `171` = -2.52328229293399, `172` = -0.220554561892202, `173` = -0.578995539868613, `174` = 0.943962991225024, `175` = -0.28762618678959, `176` = -0.623671701835947, `177` = -0.0341104023900253, `178` = 0.157640040779364, `179` = -0.677970796516483, `180` = -0.797916706774773, `181` = -1.20816910766897, `182` = -1.59804104009406, `183` = -0.723459862012967, `184` = 0.0690788908253884, `185` = -1.4455806298819, `186` = 0.422969891784379, `187` = -0.887030288014093, `188` = 0.377087057164622, `189` = 0.178111741409501, `190` = -0.362378737758759, `191` = -1.95828918660721, `192` = -1.46799011274907, `193` = -2.56615377178761, `194` = 1.36761607831182, `195` = -0.408212369596027, `196` = 1.75680421917922, `197` = -1.36059376866375, `198` = 1.47639510785232, `199` = 1.04571766902045, `200` = -0.78594720595898, `201` = 0.78188441248486, `202` = 0.644318907294342, `203` = -0.176077616379735, `204` = 1.47487230092207, `205` = -0.344437358216782, `206` = 2.07294602737772, `207` = -1.15341579063268, `208` = 1.58614770595903, `209` = -0.36758868526355, `210` = 0.440207666569601, `211` = -0.275306420511773, `212` = -0.132424702653712, `213` = -0.0482918827367892, `214` = 0.700333579034905, `215` = 0.153552167666028, `216` = 1.354904437276, `217` = -0.0940210930784746, `218` = 0.178249213418117, `219` = -0.0718590169721228, `220` = -0.372132565126363, `221` = 0.2743337233337, `222` = 0.995628997256991, `223` = 0.887256216024083, `224` = 1.02740258604454, `225` = 1.85132165161094, `226` = 0.135133292496099, `227` = 0.272018643509762, `228` = 1.623520847384, `229` = -0.0371489772319791, `230` = -1.02981802460295, `231` = -0.850432580867964, `232` = -0.565802227982752, `233` = -1.30510264397433, `234` = 1.25007618135143, `235` = -0.57526258593963, `236` = 1.24186815887754, `237` = 2.4105885346059, `238` = -0.347283504658361, `239` = 0.563423156759932, `240` = -0.662253648583073, `241` = 2.95491788703927, `242` = -0.961770230160829, `243` = 0.955674155023439, `244` = 0.972303956215665, `245` = 0.98934493625832, `246` = 1.10414013365689, `247` = 0.611263225798478, `248` = 0.568958545849905, `249` = -0.854717847927866, `250` = 0.350946835829447, `251` = -0.292457058101941, `252` = 2.75357107350176, `253` = 0.834242176262766, `254` = 1.26696116962087, `255` = -2.21287516293338, `256` = -1.28952973897863, `257` = -0.891829646108193, `258` = -0.459611780815687, `259` = -0.360470725493518, `260` = 0.641678262155804, `261` = -0.103990683020398, `262` = -0.178524851655183, `263` = 1.25677935380373, `264` = -2.13892491708195, `265` = -0.291827529434965, `266` = 1.12341318276903, `267` = 1.11983686151372, `268` = -0.137741552160711, `269` = -0.652781641884896, `270` = -0.216624624750199, `271` = -0.353021091043571, `272` = -0.297813327146467, `273` = -1.36327372004937, `274` = -0.205915013958304, `275` = 0.443664560139034, `276` = -0.449297489381728, `277` = -0.894191238077295, `278` = -1.79203325611391, `279` = -0.338917970655343, `280` = 1.78454097846621, `281` = -0.486091714453967, `282` = -0.591510503346713, `283` = 2.73050658453025, `284` = -1.97455321466408, `285` = 0.119995857914282, `286` = 0.719969756085881, `287` = -0.382643281434768, `288` = 1.27441154210719, `289` = 0.794322022197328, `290` = 0.0192342199461539, `291` = -1.10256862275973, `292` = 0.317607647584267, `293` = -0.313727631989234, `294` = -0.97124484737473, `295` = -0.000554259159670144, `296` = 0.38261760244071, `297` = -0.0103759782320025, `298` = 0.901824392365618, `299` = -2.43376069040953, `300` = 0.685216088057129, `301` = -0.65380455159173, `302` = 0.362082168407164, `303` = 1.22563369526588, `304` = 0.176269416098703, `305` = 0.0603768424851903, `306` = -2.67850521791345, `307` = -1.11241691981968, `308` = 0.729911896694816, `309` = -1.4325825658838, `310` = -0.0606715332645114, `311` = 0.240679514346496, `312` = -0.36041902727999, `313` = -0.729918732527916, `314` = -1.47883030018216, `315` = 0.447833665156941, `316` = -1.91727568754626, `317` = -0.796563030292006, `318` = -0.0786569709999069, `319` = -0.912599036896566, `320` = -0.374280879830022, `321` = 0.913925288194581, `322` = 0.0474455921381818, `323` = 0.267830904503625, `324` = 1.39415054076247, `325` = 0.0335244297731983, `326` = 0.0636535096050474, `327` = -1.95400847855562, `328` = 0.184180234167246, `329` = -0.630138130177308, `330` = -1.23937518977461, `331` = 1.21908437476211, `332` = 0.0886511555240727, `333` = 1.067459014511, `334` = -0.897215731172858, `335` = -2.43184076594686, `336` = 0.248715846417063, `337` = 1.00186646100921, `338` = 2.57202091329185, `339` = 1.06115664145703, `340` = 1.03242583230715, `341` = -0.516295870204025, `342` = 0.373684256030876, `343` = -0.696287403144038, `344` = 0.507426741798138, `345` = -1.14483927721652, `346` = -0.347702006329537, `347` = -1.34120925655074, `348` = 0.132263987256395, `349` = 0.461052261030674, `350` = 0.0364585430873317, `351` = -0.371637290517893, `352` = -0.250277953651279, `353` = -1.60952300211484, `354` = -0.0811655594020712, `355` = -1.94480643727683, `356` = 0.0367058513086389, `357` = 1.84673389295959, `358` = 0.687352765565837, `359` = 1.54834126785165, `360` = 1.47999715561202, `361` = -0.199412609175701, `362` = 0.442441122559382, `363` = -1.93794678614154, `364` = 0.903480758590514, `365` = -0.878779905489679, `366` = 0.93814648685653, `367` = -1.87001575381933, `368` = 1.14323506747458, `369` = -0.725525776777194, `370` = 1.52506612906047, `371` = 0.00133214565857233, `372` = -0.838325869616721, `373` = 0.619360156838574, `374` = 0.0185145811407747, `375` = -0.58793826643742, `376` = -0.809633520870028, `377` = 2.42474631250702, `378` = -0.899589296893904, `379` = 0.666213188688393, `380` = -0.224862675418023, `381` = -0.972357798866612, `382` = -1.31865648202374, `383` = -1.47590975195639, `384` = -1.42865950669184, `385` = -1.49391787590036, `386` = 0.735425852771022, `387` = -0.113293590187947, `388` = 1.82657917147067, `389` = 0.684065496953059, `390` = 1.61818216434126, `391` = 0.569787413227696, `392` = 0.872287836388432, `393` = 0.443883392621181, `394` = -0.263756227170968, `395` = 0.778842679122107, `396` = 0.00386362534273763, `397` = 0.906521196971356, `398` = -0.769442771559844, `399` = 0.918485635776285, `400` = -0.183600646187187, `401` = -0.854910509609521, `402` = -1.65994175471195, `403` = 1.41522115542652, `404` = 0.323028751572093, `405` = -0.0393960735383096, `406` = 0.761127380405703, `407` = 0.0518915602823483, `408` = -1.47493631559061, `409` = -2.05463374640576, `410` = -0.0262636160583861, `411` = -0.277152617048994, `412` = -0.95237179052035, `413` = 0.524979812606982, `414` = -0.30867595543128, `415` = 0.751031553977189, `416` = 1.32068395900713, `417` = -0.525437630091273, `418` = -0.82145895157684, `419` = 0.177714874920089, `420` = 1.54384127078222, `421` = -1.69461301507659, `422` = -1.12891772319357, `423` = -0.814871565802017, `424` = 0.358721105700531, `425` = 2.4283421361755, `426` = -0.44303787458905, `427` = -0.29598138757007, `428` = -1.6397583939611, `429` = -0.564934508157389, `430` = 0.625765363492575, `431` = -0.730962962130021, `432` = -0.417207085813908, `433` = -0.329865255662936, `434` = -0.0812245264952631, `435` = 1.70677405289037, `436` = 1.29706910069198, `437` = 2.10461847554973, `438` = -1.81676326145784, `439` = -0.408964591583987, `440` = 0.831861743697683, `441` = -0.368848037368429, `442` = 0.701150634706081, `443` = -0.629670051750208, `444` = -1.89424938156875, `445` = -1.03510035005447, `446` = 1.91654699439126, `447` = -0.137342244885132, `448` = 1.63161829549619, `449` = 0.872678003141009, `450` = 0.7354940205863, `451` = 1.71013693442075, `452` = -1.50536568326281, `453` = -0.260600196842927, `454` = -0.205015767917604, `455` = -0.799765233209928, `456` = -0.27203163937395, `457` = -1.97187543477011, `458` = -1.549080711885, `459` = 0.534916953819233, `460` = 0.267228963565255, `461` = 1.40004004146821, `462` = -0.231856921651543, `463` = -0.269343297756892, `464` = -0.351253623054593, `465` = -0.865256406841322, `466` = 0.322082355332635, `467` = -1.17690997944313, `468` = 0.534593844400968, `469` = -0.0540326192287986, `470` = 0.547909049107145, `471` = 1.33178809602133, `472` = -0.318723594185765, `473` = -0.174539116340187, `474` = 0.0645307518722822, `475` = -0.363815536468061, `476` = 1.69046367398989, `477` = 0.0558511635150722, `478` = 0.853076900725734, `479` = 0.353208463444756, `480` = 1.26624811768733, `481` = -0.175276235619638, `482` = -2.67968807484938, `483` = 0.140650878745784, `484` = -0.683261859913555, `485` = 0.39988913139711, `486` = -0.921886641491984, `487` = -0.123478700464778, `488` = -0.483834170295311, `489` = -0.410132833268128, `490` = -0.630367617844952, `491` = -0.898087147980022, `492` = 0.061419860055552, `493` = -1.24305510798906, `494` = -0.199396181289918, `495` = -0.324262165272746, `496` = -0.654781741789735, `497` = 1.87250328682731, `498` = -1.74630441027651, `499` = 0.0275580206618543, `500` = -1.14997326268865, `501` = -1.40301688821418, `502` = -0.14100649790472, `503` = 2.16148598856364, `504` = 1.19952737027423, `505` = 0.353897451004024, `506` = -0.739164373388727, `507` = 2.15860514356829, `508` = -0.457866905854127, `509` = -1.09598276735103, `510` = -1.24445107762985, `511` = -0.601946374367648, `512` = 1.75106898973113, `513` = 1.05292684391896, `514` = 0.465292485092317, `515` = -1.76974816885205, `516` = -0.260967988129897, `517` = 1.13139835620884, `518` = -0.346246228656431, `519` = -0.509655431433273, `520` = 0.0446962529239993, `521` = -0.893603197098097, `522` = -0.264265589387314, `523` = 2.37927093190715, `524` = 0.56623940637046, `525` = 1.26084854960676, `526` = -0.16122008287042, `527` = -0.476290255141048, `528` = 0.62792198670192, `529` = -1.42352810998377, `530` = 1.24879131206239, `531` = -0.243473120349148, `532` = -2.93573308282161, `533` = -0.836853203515277, `534` = -0.289078433350248, `535` = 2.0146017680782, `536` = -0.112083638190287, `537` = -1.34164918116908, `538` = -0.286109197263816, `539` = -0.921551331259077, `540` = -1.50762020479464, `541` = -0.899204724499733, `542` = -1.84270843154796, `543` = 2.47910460085213, `544` = 0.355823818882617, `545` = 0.706619369595011, `546` = -1.06623568528134, `547` = 1.27849806285197, `548` = 0.650459328938198, `549` = -1.08448801914052, `550` = -0.331096713214464, `551` = -0.362181387236569, `552` = 1.36520633218548, `553` = -0.228989645926182, `554` = 1.19532656192675, `555` = 0.720309310162288, `556` = -0.283118690576896, `557` = 0.0935562293552512, `558` = -0.73632605030403, `559` = -0.386018975162292, `560` = -1.61510382032058, `561` = -0.647358021747128, `562` = -0.198189055902959, `563` = -0.231859676486582, `564` = 2.46984610041161, `565` = 0.401287656437332, `566` = -1.50462690049602, `567` = 1.06286502976489, `568` = -0.275807347295196, `569` = 1.40163112935451, `570` = -0.135627762285509, `571` = 1.59671907753339, `572` = 0.0332454746191333, `573` = -0.46390113438653, `574` = 2.04667164615292, `575` = -1.26648358451873, `576` = 0.34241800164842, `577` = -0.862845130940423, `578` = 1.17888758326791, `579` = 0.482871358449955, `580` = -0.586203075632172, `581` = -0.313436280167181, `582` = 0.666317498206885, `583` = -1.09381644255708, `584` = -0.64706278998496, `585` = 0.522473010345057, `586` = 0.69004630757896, `587` = -1.58732753392557, `588` = -0.0292439105393772, `589` = -0.95223314589784, `590` = -0.810897881173304, `591` = 1.09047425654457, `592` = 1.0984719685864, `593` = -0.101880226320777, `594` = -0.885731653711405, `595` = 0.165247458264157, `596` = 1.67817302478363, `597` = 1.02740874816144, `598` = 0.407098533975226, `599` = 0.0212323212915641, `600` = 1.05709190123365, `601` = 0.721513274718439, `602` = 0.71360654872932, `603` = -0.702932488448542, `604` = -2.71950727348554, `605` = -0.589089845429238, `606` = 1.0773579551258, `607` = -0.173410813853688, `608` = -0.663243953069262, `609` = -1.97911747657479, `610` = -0.474745855259661, `611` = -0.814679133694167, `612` = -0.653757145370431, `613` = 0.0722862425134145, `614` = -0.224191614571255, `615` = 1.26727670748956, `616` = -1.57412936537123, `617` = -1.51938372179535, `618` = -1.01159427196705, `619` = 0.127049137158835, `620` = 2.25803738472732, `621` = 1.45125433397264, `622` = -0.41145899206481, `623` = -0.479687499365016, `624` = 1.31638641894359, `625` = 0.391330002961166, `626` = -0.389456294379096, `627` = 0.0585043435648092, `628` = 1.09446808322787, `629` = 0.0146191695005953, `630` = 0.126506704022758, `631` = 0.760425067297108, `632` = -0.516005945923311, `633` = -1.98122694670427, `634` = 0.011026550928697, `635` = 1.22053538149303, `636` = -0.250159969858279, `637` = 0.992895735013286, `638` = -0.561635743470546, `639` = -0.741059041672562, `640` = 0.228842364481597, `641` = -0.484357418131607, `642` = 0.167843895096638, `643` = 0.961398356412197, `644` = -0.439590532664392, `645` = -0.120176486308383, `646` = 0.952901925716894, `647` = 1.54027188688194, `648` = -0.200071606038271, `649` = -0.370593024292862, `650` = -0.489866105018164, `651` = 0.99807649275207, `652` = -0.666729663960561, `653` = -0.719481828892707, `654` = -0.287111429652809, `655` = -1.40296029636829, `656` = -0.307156948909019, `657` = -0.432180139816106, `658` = -0.0655155763153287, `659` = 0.783149637579721, `660` = 1.77511674298001, `661` = 0.858748165133872, `662` = -1.15741607406915, `663` = 1.47852495973671, `664` = 0.77739201019174, `665` = 0.191592881379408, `666` = 1.0005740448232, `667` = 0.51192647401808, `668` = -0.122685536995748, `669` = -0.575662329971165, `670` = 0.868342008354016, `671` = -2.18288020451937, `672` = -0.377447729738174, `673` = -1.32851313123068, `674` = -2.04917816509898, `675` = 0.252456896271665, `676` = -0.00455759699316366, `677` = -1.80988772612292, `678` = -0.276704117303584, `679` = 0.525186032973322, `680` = 0.651829393276619, `681` = 0.271425733169605, `682` = 0.710379930452424, `683` = 0.124270638581215, `684` = 0.457124159009988, `685` = -0.0831111801632644, `686` = -0.918521479885603, `687` = 0.255674046162417, `688` = 0.893358978410407, `689` = 2.40262062264375, `690` = -0.480158297042548, `691` = 0.0370645329551433, `692` = -2.13030267718804, `693` = -0.980839303313051, `694` = 1.39772326518982, `695` = -0.17132646184608, `696` = 0.460408340786116, `697` = 0.478251291173555, `698` = -0.757248447085629, `699` = -0.206535309703804, `700` = 0.349975367908024, `701` = -0.247233949170307, `702` = -0.0162895051132212, `703` = -0.60099445259856, `704` = -1.37556588385377, `705` = 0.645622435957847, `706` = 1.4013001557138, `707` = 0.202694307230844, `708` = 0.0956946271562169, `709` = -0.241541600821264, `710` = 1.41187869168221, `711` = 1.16354084643934, `712` = 1.41065660623005, `713` = 0.773256870269722, `714` = 0.183455204067203, `715` = 0.480042465027015, `716` = 0.294571740526009, `717` = -1.20260918153325, `718` = 2.23428656648947, `719` = -1.1515462705905, `720` = 0.616198841192538, `721` = -1.41866870384524, `722` = -0.951966350087608, `723` = -0.352485148907089, `724` = -1.42086086122911, `725` = 0.0582291636091519, `726` = -1.03902533879805, `727` = 0.0996535606923858, `728` = 1.84806459684644, `729` = 0.769984914249602, `730` = -1.42845531193888, `731` = 0.370737032050522, `732` = 0.0654514348826629, `733` = 1.77481413849243, `734` = 0.590916559430136, `735` = -0.0976196494326984, `736` = -1.15398676759493, `737` = 0.048500857472991, `738` = 1.43728575012931, `739` = -0.969080437830227, `740` = -0.71736093120723, `741` = 1.03777139727611, `742` = 0.958306045718272, `743` = -0.274420680706018, `744` = -0.300947151495689, `745` = 0.0421269080315298, `746` = 1.02885153552682, `747` = 0.0254833900179468, `748` = 0.243121699570229, `749` = 1.69002191128667, `750` = 0.836142919340155, `751` = 1.28824988628336, `752` = 1.80408876812388, `753` = -0.155972070968765, `754` = -0.0972269255301354, `755` = 0.173923472482183, `756` = 0.429328031436448, `757` = -0.434125625965263, `758` = 0.199289404917013, `759` = -0.931578567641512, `760` = 0.385669117507831, `761` = -0.834233345701464, `762` = -0.225288119873308, `763` = 1.2326248028519, `764` = -0.281764122908527, `765` = -0.568085715221524, `766` = 0.860471328956729, `767` = -2.66192804189633, `768` = 0.0601969106197502, `769` = 0.304991890080915, `770` = 2.35592805016226, `771` = -0.617449971933117, `772` = -0.996906991473719, `773` = 2.25279831414472, `774` = 0.332555213772629, `775` = -0.0343182375654322, `776` = 0.553942095735088, `777` = -0.332260043051378, `778` = -1.08865647256746, `779` = 0.809667694768049, `780` = 0.0329839118148833, `781` = -0.0935493157522529, `782` = -1.18852966422395, `783` = -0.998380780854964, `784` = 0.597827690052846, `785` = -0.939921171439336, `786` = 0.571054144382359, `787` = 1.03357365681507, `788` = 1.00228797020952, `789` = -1.31781480506039, `790` = 0.10914512607753, `791` = 0.137302528006935, `792` = 0.996301382808932, `793` = 0.484548535905109, `794` = -1.2229509318636, `795` = -0.31591843989084, `796` = 1.10557071566996, `797` = 1.00632025507384, `798` = 1.82147163570023, `799` = -1.15978776889398, `800` = -0.754735507390657), effects = c(Intercept = -73.40333659132, age = 13.6382906841201, `age'` = -2.107611276151, `age''` = -0.034533686035316, `treat=placebo` = -2.24761333894835, `sex=male` = 2.65400508021108, `age * treat=placebo` = -0.243522200233562, `age' * treat=placebo` = 2.26243430584071, `age'' * treat=placebo` = 1.0721171414083, `age * sex=male` = 1.44104881889796, `age' * sex=male` = 3.84672118267309, `age'' * sex=male` = 0.428113012081798, `treat=placebo * sex=male` = 3.64434918334448, `age * treat=placebo * sex=male` = 1.82702857346944, `age' * treat=placebo * sex=male` = -2.0416754656213, `age'' * treat=placebo * sex=male` = -0.865456381743029, -0.572850974887237, -1.17018600460594, -0.0963618583398188, 1.40955786337855, 0.0459542010786245, 0.054162644913335, -0.716313781853562, -0.662075456970051, -0.287362257763061, -1.62608406617552, 1.28980384042999, -0.0456820693279919, -1.94036918237309, -0.135916515161014, -0.23955569337864, -1.44408160083464, 1.96640645780827, -1.11087569668948, -1.23195598718316, 0.46338388259601, 0.352396975809895, -0.35304969650697, 0.116559024379499, -0.98470620043081, 1.41858956516318, 0.721265766857826, -1.1339386640339, 0.655480194364529, 0.847366265130963, -0.630687887144773, 0.657047719449646, -1.14664480797666, 1.7638336644967, 0.626296229567147, -0.195506654238485, -0.646252657427098, -0.139697843963573, -0.590290197636792, 0.0778434741039944, 0.669110607661971, -0.427663691616754, -0.899358002588566, -1.76800081230197, 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-0.0396858552601931, 0.0348322006376273, 0.615296407542039, -0.645248237028341, -1.74671260649583, 0.0840603682557606, 1.08744274434229, -0.269464442290146, 0.944801712004487, -0.654605949989809, -0.802282645919392, 0.202585005747446, -0.533889573826154, 0.539527385569078, 0.834925911743147, -0.570178928186263, -0.0972931135803489, 0.973453819166779, 1.63140619988829, 0.398785991712884, -0.350697500471871, -0.369809536319939, 1.17471480778597, -0.693972358169581, -0.73671925939696, -0.407687200404335, -1.4379638302709, -0.361833354279922, -0.553487650423299, -0.053927240461549, 0.865371427316694, 1.74873896883559, 0.810056146547484, -1.07952205327813, 1.34671334743905, 0.644019367082201, 0.151669036058838, 0.910748965588329, 0.390718961702401, -0.25095886119712, -0.648959893596139, 0.810397070997359, -2.08830586210571, -0.317818561309525, -1.59026593890924, -2.16001187790033, 0.324657003053649, -0.0582210567866945, -1.89063202956731, -0.31788826366276, 0.525708409075262, 0.580548995133037, 0.126703128720121, 0.569656512065563, 0.10770650692188, 0.435348894686623, -0.247930588426894, -0.844228794034961, 0.123034402811563, 0.78111827743297, 2.3618487202732, -0.61882279730788, 0.0668041152554399, -2.26713029080264, -0.828396443261679, 1.26993303849881, -0.03039293409857, 0.429319422309336, 0.631597348375269, -0.844185997483185, -0.160559310908493, 0.319138158190132, -0.166565566595088, 0.125887319897372, -0.522688880720763, -1.23690212822424, 0.719848111505827, 1.35933328238897, 0.0725714730809292, 0.0217098275000365, -0.31643430946117, 1.25085271107477, 1.3638879572947, 1.33698033651463, 0.803361260010268, 0.116943326383704, 0.380660895855268, 0.24849823499166, -1.28431518571426, 2.33071520522355, -1.19110442037258, 0.529847079790773, -1.29030775886443, -1.06944368899846, -0.184521424554327, -1.33696417481552, 0.016582354828849, -0.884557462261349, 0.0870195139233712, 1.95810352473099, 0.718305338046376, -1.49526111359094, 0.336536695265361, 0.124747665997748, 1.04987196933542, 0.70788247551476, -0.17613117040106, -1.20909614430547, -0.0292857209734235, 1.4636307094423, -0.987921517155655, -0.842260630085467, 1.09002136392792, 0.868898450937378, -0.394103499413947, -0.248122683411008, 0.172610190116425, 1.00260268314649, -0.0965247693659452, 0.0989299119993181, 1.74768702086668, 0.692728306838585, 1.23613555584604, 1.77285557041551, -0.23881130558668, -0.0805116029057873, 0.0416988020249218, 0.297933995176449, -0.250606422971945, 0.0894804712305895, -0.804762369104944, 0.333821512822324, -0.813295524510226, -0.298233156512461, 1.31778189647637, -0.21986145577956, -0.611368606182007, 0.967278702989654, -2.52414943647429, -0.0755818975511696, 0.169111736495417, 2.23253748899061, -0.629846423705932, -1.35071588787323, 2.12601204119038, 0.19035376557703, -0.140560533768141, 0.509697463187835, -0.440625345768201, -1.02227471346483, 0.762363676169038, -0.0871288150611121, -0.0699811259583561, -1.30069428264778, -1.24142493103183, 0.605581162539639, -1.10422685757841, 0.451562029691737, 0.870267171739296, 1.05625793747355, -1.29748102966093, 0.0118069893978282, 0.0851986068188737, 0.987876749158515, 0.482549683212166, -1.09711426174666, -0.23910684896716, 1.03394446587643, 1.18019617564374, 1.79694306130437, -1.72790554432164, -0.776398954786844), rank = 16L,     fitted.values = c(`1` = 1.8273464762968, `2` = 2.6542796288188,     `3` = 2.91235879550687, `4` = 2.62632478687051, `5` = 2.37478067233776,     `6` = 2.57126669833247, `7` = 2.29342830409831, `8` = 2.91272324756385,     `9` = 2.7720149889747, `10` = 2.61802501930452, `11` = 2.83995582973133,     `12` = 3.15822090879926, `13` = 2.7318330139736, `14` = 0.923092063185215,     `15` = 2.35638427355456, `16` = 3.21291450377986, `17` = 2.85930487738867,     `18` = 1.85471780857574, `19` = 2.59507849617468, `20` = 2.77516156003148,     `21` = 2.37468336722965, `22` = 2.94734075955842, `23` = 2.71890305200674,     `24` = 2.56690580859943, `25` = 2.62312595210793, `26` = 2.69985921118831,     `27` = 2.46142105713551, `28` = 4.81182749551602, `29` = 1.78100545234006,     `30` = 2.51087836642562, `31` = 2.18383381057564, `32` = 3.12042045378319,     `33` = 2.962998524365, `34` = 2.17134047276968, `35` = 2.49370220032693,     `36` = 2.95708295768924, `37` = 4.12990022922827, `38` = 2.68438147115392,     `39` = 2.20205567454462, `40` = 1.89621933065192, `41` = 3.17300922223564,     `42` = 1.36495515601018, `43` = 4.9162768756297, `44` = 2.34843367978997,     `45` = 2.2828688390031, `46` = 2.47656065356765, `47` = 3.35155981290649,     `48` = 2.68466198933939, `49` = 1.72312215469336, `50` = 2.5545423995087,     `51` = 2.75451955418949, `52` = 2.82193431350933, `53` = 2.40214416391366,     `54` = 0.959203672924118, `55` = 2.43423806672798, `56` = 2.38707792981996,     `57` = 2.37029134741965, `58` = 2.24561426606161, `59` = 2.30349409111093,     `60` = 2.43894245579633, `61` = 2.82061452685481, `62` = 3.40279330285509,     `63` = 2.02110598950698, `64` = 2.43980467959036, `65` = 2.55818586752441,     `66` = 3.81749524286754, `67` = 2.55797249452663, `68` = 1.86026293864306,     `69` = 2.64852423658387, `70` = 2.39078281119623, `71` = 4.20728393693173,     `72` = 2.73321470694733, `73` = 2.13299125795756, `74` = 2.40078521835743,     `75` = 2.38732388647639, `76` = 2.48663441342883, `77` = 2.48319236767406,     `78` = 3.33474920590903, `79` = 2.72652344572814, `80` = 2.502890404923,     `81` = 2.38653230290044, `82` = 2.81510053286542, `83` = 2.48414658771294,     `84` = 2.62268592379984, `85` = 3.0651368477459, `86` = 3.15791582696985,     `87` = 2.24559620887642, `88` = 3.13179459683268, `89` = 1.97357557764259,     `90` = 2.77282308095323, `91` = 2.74016188199839, `92` = 2.45176950529484,     `93` = 3.32531928953431, `94` = 2.19751752606572, `95` = 2.72674714579747,     `96` = 2.42192340543888, `97` = 1.93076371222272, `98` = 3.62929473538996,     `99` = 1.35369434987869, `100` = 2.2547370962648, `101` = 1.94409001325824,     `102` = 2.62880112621963, `103` = 2.77137140917496, `104` = 1.95738338715501,     `105` = 2.72049174848199, `106` = 2.40243453220378, `107` = 3.09735812074682,     `108` = 2.75153859240597, `109` = 2.7634794003779, `110` = 2.05813014540498,     `111` = 2.65985862884668, `112` = 2.46522299246837, `113` = 1.5703781919029,     `114` = 2.69035917134868, `115` = 4.20861430662284, `116` = 2.37125443702692,     `117` = 2.36705613621479, `118` = 2.85308469084743, `119` = 2.5415194010717,     `120` = 3.15710460382206, `121` = 2.77865444148754, `122` = 3.2954859943684,     `123` = 2.70726046586218, `124` = 2.42473855283583, `125` = 2.75546009888392,     `126` = 1.93535012472394, `127` = 2.21956899382337, `128` = 2.48911632772296,     `129` = 2.93859012435979, `130` = 2.5501671026405, `131` = 2.86395308616895,     `132` = 2.9325665637652, `133` = 2.49741866101599, `134` = 1.15477002080841,     `135` = 2.85906509967744, `136` = 3.21480202919142, `137` = 2.64844922449584,     `138` = 1.81624171593204, `139` = 2.50256109585425, `140` = 2.06026174870399,     `141` = 2.41347967088569, `142` = 2.82647702488726, `143` = 3.28776560599656,     `144` = 2.74957705273186, `145` = 2.06055571226601, `146` = 3.23783901748259,     `147` = 3.0579009438373, `148` = 3.23597166652999, `149` = 2.21636165136686,     `150` = 2.77037519109151, `151` = 3.14335945231959, `152` = 2.39156945942855,     `153` = 2.78704915422625, `154` = 2.63941496646989, `155` = 2.58610032037074,     `156` = 2.70144690395644, `157` = 2.90426129456847, `158` = 2.88420138031662,     `159` = 2.39479076403391, `160` = 2.80509075142565, `161` = 2.37161390962301,     `162` = 2.41992065646662, `163` = 2.9052094221091, `164` = 3.22550263914549,     `165` = 1.73315464210068, `166` = 2.43142907624064, `167` = 3.87849162526757,     `168` = 1.08194647347416, `169` = 2.84365960719609, `170` = 2.31147636681322,     `171` = 2.76523847380424, `172` = 2.88117058586849, `173` = 2.04732981907891,     `174` = 2.07915665869094, `175` = 3.08110988123108, `176` = 2.04592349294163,     `177` = 2.56700092604082, `178` = 2.77907881429002, `179` = 3.17846678411757,     `180` = 2.65038681640476, `181` = 2.92913414157109, `182` = 2.63780063630832,     `183` = 2.45550173098484, `184` = 2.78684913414774, `185` = 2.60955074916775,     `186` = 2.67430224080449, `187` = 2.3114710982275, `188` = 2.41392007655519,     `189` = 2.85514775159917, `190` = 2.82657039075926, `191` = 2.27203654778748,     `192` = 2.37030879867869, `193` = 2.78189657176958, `194` = 3.01888613570589,     `195` = 2.66860452934713, `196` = 2.5229466489951, `197` = 1.96437460612657,     `198` = 2.29586715480886, `199` = 2.53040196702745, `200` = 2.17979970489295,     `201` = 2.99968367627667, `202` = 2.99303164445703, `203` = 2.09396489715103,     `204` = 2.63747526906564, `205` = 2.63430036234606, `206` = 1.62346827950003,     `207` = 2.86309558489206, `208` = 1.26999728769122, `209` = 1.72020445809491,     `210` = 2.91311906510036, `211` = 2.43319556057215, `212` = 2.39109250097856,     `213` = 1.6492458519465, `214` = 1.99197336957605, `215` = 2.55334196204763,     `216` = 2.41675268048625, `217` = 2.4118017030696, `218` = 1.82904370247393,     `219` = 1.96972936169113, `220` = 4.48347814044753, `221` = 2.43357782876622,     `222` = 2.88429652654287, `223` = 3.21160807310651, `224` = 2.85022603796191,     `225` = 2.52882699909125, `226` = 2.0957307798493, `227` = 1.87895581468756,     `228` = 3.18065900342439, `229` = 2.47307935938645, `230` = 2.78536931497109,     `231` = 2.19076727042225, `232` = 2.41128760676261, `233` = 2.37131981545313,     `234` = 2.55303760371157, `235` = 2.9199693414722, `236` = 2.60397022793523,     `237` = 2.35726095482352, `238` = 2.87899977284871, `239` = 3.13468726875723,     `240` = 2.58696063484866, `241` = 2.93480037321797, `242` = 2.52196476517132,     `243` = 2.23386570374798, `244` = 1.93400574589039, `245` = 4.36159183616138,     `246` = 3.30181888171832, `247` = 2.87275271626973, `248` = 2.68680493967785,     `249` = 2.9472147026804, `250` = 2.67701679026062, `251` = 2.43874412812383,     `252` = 2.69832522750769, `253` = 2.39815127697227, `254` = 3.27416880961077,     `255` = 2.89420394072003, `256` = 2.46206595690653, `257` = 3.02161363337767,     `258` = 2.37253590878611, `259` = 3.14803716395551, `260` = 2.30477591805902,     `261` = 1.20593814723825, `262` = 3.06200642364828, `263` = 2.99889777179038,     `264` = 2.14282555354455, `265` = 2.01335804244271, `266` = 1.32272589615639,     `267` = 2.45487059993715, `268` = 1.51492463330488, `269` = 2.31193380003934,     `270` = 2.69797296272068, `271` = 3.27746164011552, `272` = 2.37320371671454,     `273` = 2.44765266363073, `274` = 2.76426830101752, `275` = 3.14991474578698,     `276` = 1.91281943159906, `277` = 1.47871083226282, `278` = 2.66139783025367,     `279` = 3.0068312744844, `280` = 2.40803144249423, `281` = 3.19967771868625,     `282` = 2.38442996368075, `283` = 2.74742751208274, `284` = 2.74151591243007,     `285` = 2.53430303102901, `286` = 2.13304771295534, `287` = 3.03502047926305,     `288` = 2.40927804101479, `289` = 2.84449715484632, `290` = 2.69872269248432,     `291` = 4.2167466822975, `292` = 2.86134949044519, `293` = 2.3240990316239,     `294` = 2.58529458327362, `295` = 2.589177826791, `296` = 1.65132282111858,     `297` = 4.12860304687622, `298` = 2.9788838201833, `299` = 2.03941888516452,     `300` = 2.74426480590544, `301` = 2.70375821808304, `302` = 2.42445684795484,     `303` = 3.91189357427476, `304` = 2.46328928597437, `305` = 2.71213347425702,     `306` = 2.75078140564015, `307` = 2.39519608769782, `308` = 1.97652601737173,     `309` = 2.49237836450657, `310` = 3.02437447193905, `311` = 2.63718302354101,     `312` = 2.85937900798305, `313` = 2.54616629469414, `314` = 2.7903511279751,     `315` = 1.61496522808629, `316` = 2.84844468900093, `317` = 2.37133176406135,     `318` = 2.2342212333381, `319` = 2.39493857884649, `320` = 1.88745641232398,     `321` = 2.39649029076404, `322` = 2.25072436441753, `323` = 2.36943155133288,     `324` = 2.42743673231805, `325` = 2.97791930992207, `326` = 2.09234168848051,     `327` = 2.36240634177489, `328` = 1.1105791288804, `329` = 2.37013324391512,     `330` = 2.26471337954389, `331` = 3.05444517174529, `332` = 2.38980742161709,     `333` = 2.37786232477323, `334` = 1.78990970602347, `335` = 2.70944370588652,     `336` = 3.5683141888971, `337` = 2.44134246962534, `338` = 2.25972174620225,     `339` = 3.00918859646008, `340` = 2.18586223684944, `341` = 2.74330408539129,     `342` = 2.86867416819939, `343` = 2.06826131293291, `344` = 3.63151763911666,     `345` = 2.85886713213127, `346` = 2.21985116812454, `347` = 2.3815434508579,     `348` = 2.41350923720854, `349` = 2.89843556037318, `350` = 2.23898268719741,     `351` = 1.29584077798455, `352` = 2.51159663534582, `353` = 2.85257238541717,     `354` = 1.77903202336168, `355` = 2.55028022270778, `356` = 2.44782824590644,     `357` = 2.46271608796213, `358` = 2.51685373998414, `359` = 2.41583566834669,     `360` = 2.3728907565472, `361` = 2.369454773508, `362` = 3.29250303236263,     `363` = 2.66285306254625, `364` = 2.49029698546202, `365` = 1.05306070502084,     `366` = 1.86455368138798, `367` = 2.88031132181863, `368` = 2.30036007798452,     `369` = 2.11837578996616, `370` = 2.40083223927156, `371` = 2.29153752579909,     `372` = 2.44953094562367, `373` = 2.62721713144288, `374` = 3.9441196218975,     `375` = 2.9557674025679, `376` = 3.66113529407979, `377` = 2.32038023868864,     `378` = 2.87211440331623, `379` = 2.39293831188164, `380` = 2.51344798573844,     `381` = 4.63994090353258, `382` = 2.42205148785717, `383` = 2.33462597983624,     `384` = 2.23050814284012, `385` = 2.88331664462298, `386` = 4.55690943309283,     `387` = 2.58261047793064, `388` = 2.54193081869031, `389` = 4.52295683194619,     `390` = 2.14060027084606, `391` = 2.99869748680244, `392` = 2.26250701192594,     `393` = 2.01249031809818, `394` = 2.97085385284773, `395` = 2.64468402413129,     `396` = 2.33395576477012, `397` = 2.63502066231726, `398` = 2.24915693049968,     `399` = 2.58574738517705, `400` = 2.3716272899945, `401` = 1.69024305202187,     `402` = 3.19926868492288, `403` = 1.77606477443688, `404` = 1.64318193529478,     `405` = 2.83237040517646, `406` = 2.88901243357697, `407` = 2.40363001910485,     `408` = 2.56124257441973, `409` = 3.15661085878286, `410` = 3.01754450476663,     `411` = 1.66908846281502, `412` = 3.04638461915898, `413` = 2.4902496498083,     `414` = 2.32355269847258, `415` = 3.20708965017669, `416` = 2.94047492110776,     `417` = 3.039308895143, `418` = 2.4463121970276, `419` = 2.85372829272876,     `420` = 2.52921117908114, `421` = 2.20126381165548, `422` = 3.67012958834098,     `423` = 2.67998235983964, `424` = 2.48875766442306, `425` = 2.98395742646305,     `426` = 2.86885943428284, `427` = 2.36948098545145, `428` = 2.41007394201668,     `429` = 3.32665939652036, `430` = 2.60667304612803, `431` = 2.3375066389785,     `432` = 3.1650659263681, `433` = 2.87830655726086, `434` = 2.24977346407656,     `435` = 2.41284105666922, `436` = 2.87304300931647, `437` = 2.46339398769293,     `438` = 2.94459097140992, `439` = 2.44625020909451, `440` = 1.88518695389097,     `441` = 2.63410511427251, `442` = 3.31221841531284, `443` = 1.75003520014887,     `444` = 2.03294189166507, `445` = 1.66007689915753, `446` = 2.29814525739876,     `447` = 3.06648380940822, `448` = 2.57970479276396, `449` = 2.36683669531664,     `450` = 2.4670869173179, `451` = 2.44602851362862, `452` = 3.45053339543596,     `453` = 3.28071687825047, `454` = 3.04908277183995, `455` = 2.37763546512344,     `456` = 2.26398601372506, `457` = 2.692748575164, `458` = 2.62690602442052,     `459` = 2.71352920569489, `460` = 2.47429183434904, `461` = 2.4039247810575,     `462` = 1.93412621996201, `463` = 2.38480340226842, `464` = 2.07063510996225,     `465` = 2.40690117392684, `466` = 2.42420000654002, `467` = 2.81475506919669,     `468` = 2.20640905191678, `469` = 2.37632831310256, `470` = 3.53490867501887,     `471` = 3.41002468731006, `472` = 2.75092976639121, `473` = 3.09480651714885,     `474` = 1.90007305083701, `475` = 3.2296327868531, `476` = 3.02534506485739,     `477` = 2.53398829371899, `478` = 2.82791722535193, `479` = 2.55583773830625,     `480` = 2.59402715530063, `481` = 1.6781326990062, `482` = 2.87293840540908,     `483` = 4.03969129126323, `484` = 3.19450816106775, `485` = 2.68239952858409,     `486` = 2.39405541049845, `487` = 2.71100128720999, `488` = 3.00282156550285,     `489` = 3.40302266876215, `490` = 2.88352616157181, `491` = 3.52856064048011,     `492` = 2.62144967861979, `493` = 2.77538989742825, `494` = 3.59999333050544,     `495` = 6.16348972719813, `496` = 2.4891599433751, `497` = 2.37034460924193,     `498` = 2.59980779332976, `499` = 2.30071384805534, `500` = 3.07614227765401,     `501` = 2.73259013984369, `502` = 3.25338285299229, `503` = 2.04661688530079,     `504` = 2.119780819561, `505` = 3.11313609957979, `506` = 2.6988744349033,     `507` = 2.38395417253592, `508` = 2.18648950581266, `509` = 2.42837885798354,     `510` = 2.68221147267643, `511` = 2.25428068095068, `512` = 3.75887229099597,     `513` = 2.65473882617471, `514` = 2.69017623822354, `515` = 2.62515548587877,     `516` = 2.34064129442189, `517` = 2.37656062416954, `518` = 3.11073225841166,     `519` = 1.65824952962201, `520` = 3.05076882119208, `521` = 2.50896463090888,     `522` = 2.77691889731644, `523` = 2.48655516799708, `524` = 2.4847705304522,     `525` = 2.83484261483298, `526` = 2.39148791182408, `527` = 3.08293761712995,     `528` = 2.11610089991802, `529` = 1.5441706288409, `530` = 2.29338823560684,     `531` = 2.2357005930668, `532` = 2.00046452981165, `533` = 2.46775766392926,     `534` = 2.37518687841549, `535` = 2.26924539949773, `536` = 2.69708958988384,     `537` = 1.7759969284976, `538` = 2.87932697846107, `539` = 2.51924964421704,     `540` = 2.41448920694114, `541` = 2.73088979297616, `542` = 2.33592937775142,     `543` = 2.42699526496006, `544` = 3.26971833241992, `545` = 3.80927075812981,     `546` = 3.64604939844582, `547` = 1.96050051349709, `548` = 2.37166914445101,     `549` = 2.60110158015077, `550` = 2.19353040701009, `551` = 1.66039378190514,     `552` = 2.81717036355495, `553` = 2.63349707431426, `554` = 2.69710127484472,     `555` = 1.90798875869868, `556` = 2.31371567893383, `557` = 1.77090083956038,     `558` = 2.37391574467976, `559` = 2.50262689711419, `560` = 2.31168914410283,     `561` = 2.22625805533233, `562` = 1.68021749593895, `563` = 2.51377897825149,     `564` = 2.09808172086947, `565` = 3.09578583530429, `566` = 2.19900715901313,     `567` = 1.80979414421884, `568` = 1.78503396884665, `569` = 2.50774132675897,     `570` = 2.49239230729125, `571` = 2.76211802056802, `572` = 2.4495274017885,     `573` = 3.28892969636115, `574` = 3.15211213487484, `575` = 2.92840573999153,     `576` = 2.7042293900111, `577` = 2.94371744049618, `578` = 2.47580774375233,     `579` = 2.92455079876968, `580` = 2.57811464680771, `581` = 2.09501725666443,     `582` = 2.11233201384487, `583` = 2.17435383560045, `584` = 2.36979159264026,     `585` = 2.67342838683219, `586` = 2.56022536590253, `587` = 2.37232436135092,     `588` = 2.27233056465191, `589` = 3.0468428457455, `590` = 2.55069457032584,     `591` = 2.09756322003269, `592` = 2.40306812582161, `593` = 2.45500210452847,     `594` = 2.86907537820904, `595` = 2.60261574773351, `596` = 2.46107520830906,     `597` = 1.85902245529062, `598` = 2.89225570374173, `599` = 2.65436849639519,     `600` = 2.87087714348427, `601` = 3.46886542980082, `602` = 2.68512701414622,     `603` = 2.35003691394945, `604` = 2.14627270516146, `605` = 2.23384069990504,     `606` = 2.26441295743203, `607` = 2.85303023058625, `608` = 2.52519561937849,     `609` = 1.57105260574496, `610` = 2.37037349981258, `611` = 3.04865674785886,     `612` = 2.66980960831409, `613` = 2.26749788061542, `614` = 2.82468867713131,     `615` = 2.3195107615215, `616` = 2.45284107326388, `617` = 2.56240566991253,     `618` = 3.5032340625682, `619` = 2.99012848419003, `620` = 3.69815882893603,     `621` = 2.90806077391049, `622` = 2.69781322229088, `623` = 3.14076048190506,     `624` = 4.49059794128407, `625` = 3.74525948670074, `626` = 2.36112028298741,     `627` = 2.40385272685886, `628` = 2.6893053745018, `629` = 2.3797231366545,     `630` = 2.71343039320212, `631` = 2.24472670443739, `632` = 2.93449351293732,     `633` = 4.64415079258173, `634` = 2.94929885043176, `635` = 2.8726564625836,     `636` = 2.61383490293316, `637` = 3.26153429983134, `638` = 2.47400494380402,     `639` = 3.01176455064242, `640` = 3.49592172694681, `641` = 2.67957734578401,     `642` = 3.17453140868152, `643` = 2.32665270498733, `644` = 2.7575036297423,     `645` = 2.0689328843544, `646` = 2.46785376746714, `647` = 3.32570305967851,     `648` = 0.905248324266446, `649` = 2.50428948117561, `650` = 2.53912900337754,     `651` = 2.3826549275648, `652` = 2.44542191253417, `653` = 2.62469142433065,     `654` = 2.65637163809148, `655` = 2.66860851254179, `656` = 2.38249985819357,     `657` = 2.66226570688936, `658` = 3.3192449193186, `659` = 2.73111344992993,     `660` = 3.04282974391802, `661` = 2.45256085675311, `662` = 2.67768607034304,     `663` = 2.77783018778015, `664` = 2.1579712498587, `665` = 2.37298409942318,     `666` = 3.77862150624116, `667` = 2.11634477584323, `668` = 2.94397684292152,     `669` = 2.36024450269283, `670` = 1.96870553397572, `671` = 1.70461446504352,     `672` = 2.11940451882738, `673` = 1.7263870453371, `674` = 2.08704111428627,     `675` = 2.95687309973058, `676` = 2.37665447487459, `677` = 3.15422627810539,     `678` = 2.49702523812035, `679` = 1.92644836113277, `680` = 2.34875871370472,     `681` = 2.22844659869117, `682` = 2.28679608898358, `683` = 2.62823063420633,     `684` = 2.45143195137904, `685` = 2.8489110203038, `686` = 2.65175935979436,     `687` = 2.88524094060349, `688` = 2.5952722765178, `689` = 2.37231532291548,     `690` = 2.76339467172705, `691` = 2.8873289565435, `692` = 2.30150257336182,     `693` = 2.49468059867389, `694` = 2.9386886921381, `695` = 3.75746997650522,     `696` = 2.66568016818031, `697` = 2.4930667288634, `698` = 3.13380307686093,     `699` = 2.10019517768552, `700` = 2.38255703596884, `701` = 2.86056652465783,     `702` = 2.25938206522155, `703` = 2.89379813499127, `704` = 2.25180330762531,     `705` = 2.65134453007541, `706` = 2.49261895369649, `707` = 2.92482004635633,     `708` = 2.99960795197273, `709` = 2.39534315168548, `710` = 2.80968394898164,     `711` = 1.5365706856904, `712` = 2.36240206475222, `713` = 1.74480446929666,     `714` = 2.69272631893605, `715` = 2.51260627559957, `716` = 2.46876974298805,     `717` = 2.40833157695587, `718` = 3.3687784443709, `719` = 2.5060766692575,     `720` = 3.76322910561409, `721` = 2.68274467180769, `722` = 2.73776984498368,     `723` = 3.20084163854064, `724` = 2.15532930018422, `725` = 2.37168049406483,     `726` = 2.49101118391487, `727` = 2.64893383948362, `728` = 2.55000347491773,     `729` = 2.23662652396895, `730` = 3.20003639165197, `731` = 2.66800696736024,     `732` = 3.05525636675038, `733` = 1.18148846416636, `734` = 3.54271987460358,     `735` = 2.99515813678729, `736` = 2.39151522397183, `737` = 2.38585928232041,     `738` = 3.08656767068624, `739` = 2.61626780552435, `740` = 2.97115704778034,     `741` = 3.03439656895824, `742` = 2.37931601007593, `743` = 2.33883331819551,     `744` = 1.60348696140688, `745` = 1.11688145045703, `746` = 2.57736600422859,     `747` = 2.66802533594202, `748` = 2.26404981534278, `749` = 3.07219106215321,     `750` = 2.77050828138718, `751` = 2.428794530875, `752` = 2.44110931378247,     `753` = 2.99082624009212, `754` = 2.80966642752265, `755` = 2.89406725105139,     `756` = 2.77030884986535, `757` = 4.15811193019416, `758` = 2.57886699953155,     `759` = 2.2280269081183, `760` = 2.23759767417144, `761` = 2.5058665552149,     `762` = 2.35823648366692, `763` = 2.57415384248165, `764` = 3.10240981596749,     `765` = 2.37066373006279, `766` = 1.26531154683944, `767` = 3.17649132143359,     `768` = 2.75939408955155, `769` = 2.92685172692651, `770` = 2.3324407578609,     `771` = 2.65018850565418, `772` = 1.61809174258647, `773` = 2.71163104961438,     `774` = 2.7686205447316, `775` = 2.07510786293649, `776` = 2.19346015793001,     `777` = 3.05666417694624, `778` = 2.61234105858666, `779` = 2.46128612603711,     `780` = 2.74057681523593, `781` = 1.82127812685098, `782` = 2.95877261683777,     `783` = 1.74839601569804, `784` = 1.88235766204648, `785` = 2.82663471616036,     `786` = 3.00464332237119, `787` = 1.84219985532157, `788` = 3.04630071488416,     `789` = 2.83071631673509, `790` = 2.50017115705951, `791` = 2.37261285446862,     `792` = 1.98067493063167, `793` = 2.47455687271204, `794` = 3.62089358349168,     `795` = 1.73327011655719, `796` = 1.99643069057204, `797` = 4.06628378549785,     `798` = 1.90545718313818, `799` = 1.36597756677296, `800` = 2.60145375327965    ), assign = list(`rcs(age, 4)` = 2:4, treat = 5L, sex = 6L,         `rcs(age, 4):treat` = 7:9, `rcs(age, 4):sex` = 10:12,         `treat:sex` = 13L, `rcs(age, 4):treat:sex` = 14:16),     qr = structure(list(qr = structure(c(-28.2842712474619, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     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sex=male",         "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",         "age'' * treat=placebo * sex=male"))), qraux = c(1.03535533905933,     1.06138486916177, 1.00204733190792, 1.00055266292105, 1.0290463838589,     1.03789725089091, 1.01648463412155, 1.00068622124879, 1.04076644795546,     1.04618259811035, 1.01988151430044, 1.03809279846412, 1.03661305226105,     1.12551360475444, 1.02472116042532, 1.04703590815754), pivot = 1:16,         tol = 2.22044604925031e-16, rank = 16L), class = "qr"),     df.residual = 784L, var = structure(c(0.836425390502694,     -0.0212848834556598, 0.0512825699211176, -0.184115577200964,     -0.836425390502695, -0.836425390502696, 0.0212848834556598,     -0.0512825699211177, 0.184115577200964, 0.0212848834556598,     -0.0512825699211177, 0.184115577200964, 0.836425390502696,     -0.0212848834556598, 0.0512825699211177, -0.184115577200964,     -0.0212848834556598, 0.000551286595299535, -0.00140546909686742,     0.00515538101632445, 0.0212848834556598, 0.0212848834556599,     -0.000551286595299535, 0.00140546909686742, -0.00515538101632445,     -0.000551286595299535, 0.00140546909686742, -0.00515538101632445,     -0.0212848834556599, 0.000551286595299535, -0.00140546909686742,     0.00515538101632445, 0.0512825699211176, -0.00140546909686742,     0.00463878381986734, -0.0189439273640901, -0.0512825699211177,     -0.0512825699211178, 0.00140546909686742, -0.00463878381986734,     0.0189439273640901, 0.00140546909686742, -0.00463878381986734,     0.0189439273640901, 0.0512825699211178, -0.00140546909686742,     0.00463878381986735, -0.0189439273640901, -0.184115577200964,     0.00515538101632445, -0.0189439273640901, 0.0817449413547493,     0.184115577200964, 0.184115577200965, -0.00515538101632445,     0.0189439273640901, -0.0817449413547494, -0.00515538101632446,     0.0189439273640901, -0.0817449413547494, -0.184115577200965,     0.00515538101632446, -0.0189439273640902, 0.0817449413547495,     -0.836425390502695, 0.0212848834556598, -0.0512825699211177,     0.184115577200964, 1.78217595691818, 0.836425390502696, -0.0457435036357167,     0.114344607106148, -0.419224551439489, -0.0212848834556598,     0.0512825699211177, -0.184115577200964, -1.78217595691818,     0.0457435036357167, -0.114344607106148, 0.419224551439489,     -0.836425390502696, 0.0212848834556599, -0.0512825699211178,     0.184115577200965, 0.836425390502696, 2.24452904108481, -0.0212848834556599,     0.0512825699211178, -0.184115577200965, -0.0571784236329693,     0.138187486464013, -0.499407405474335, -2.24452904108481,     0.0571784236329693, -0.138187486464013, 0.499407405474335,     0.0212848834556598, -0.000551286595299535, 0.00140546909686742,     -0.00515538101632445, -0.0457435036357167, -0.0212848834556599,     0.00119429035854966, -0.00314912019539668, 0.0117757979020482,     0.000551286595299535, -0.00140546909686742, 0.00515538101632445,     0.0457435036357167, -0.00119429035854966, 0.00314912019539668,     -0.0117757979020482, -0.0512825699211177, 0.00140546909686742,     -0.00463878381986734, 0.0189439273640901, 0.114344607106148,     0.0512825699211178, -0.00314912019539668, 0.0106133933039199,     -0.043988538139749, -0.00140546909686742, 0.00463878381986734,     -0.0189439273640901, -0.114344607106148, 0.00314912019539668,     -0.0106133933039199, 0.043988538139749, 0.184115577200964,     -0.00515538101632445, 0.0189439273640901, -0.0817449413547494,     -0.419224551439489, -0.184115577200965, 0.0117757979020482,     -0.043988538139749, 0.193194518446538, 0.00515538101632445,     -0.0189439273640901, 0.0817449413547493, 0.41922455143949,     -0.0117757979020482, 0.043988538139749, -0.193194518446538,     0.0212848834556598, -0.000551286595299535, 0.00140546909686742,     -0.00515538101632446, -0.0212848834556598, -0.0571784236329693,     0.000551286595299535, -0.00140546909686742, 0.00515538101632445,     0.00147933596588392, -0.00375673851431083, 0.0138385171219278,     0.0571784236329693, -0.00147933596588392, 0.00375673851431083,     -0.0138385171219278, -0.0512825699211177, 0.00140546909686742,     -0.00463878381986734, 0.0189439273640901, 0.0512825699211177,     0.138187486464013, -0.00140546909686742, 0.00463878381986734,     -0.0189439273640901, -0.00375673851431083, 0.0120057031151827,     -0.0489004666962014, -0.138187486464013, 0.00375673851431082,     -0.0120057031151827, 0.0489004666962014, 0.184115577200964,     -0.00515538101632445, 0.0189439273640901, -0.0817449413547494,     -0.184115577200964, -0.499407405474335, 0.00515538101632445,     -0.0189439273640901, 0.0817449413547493, 0.0138385171219278,     -0.0489004666962014, 0.210101009164533, 0.499407405474335,     -0.0138385171219278, 0.0489004666962014, -0.210101009164533,     0.836425390502696, -0.0212848834556599, 0.0512825699211178,     -0.184115577200965, -1.78217595691818, -2.24452904108481,     0.0457435036357167, -0.114344607106148, 0.41922455143949,     0.0571784236329693, -0.138187486464013, 0.499407405474335,     4.01392907467183, -0.103257489020622, 0.257419561496252,     -0.941267592738115, -0.0212848834556598, 0.000551286595299535,     -0.00140546909686742, 0.00515538101632446, 0.0457435036357167,     0.0571784236329693, -0.00119429035854966, 0.00314912019539668,     -0.0117757979020482, -0.00147933596588392, 0.00375673851431082,     -0.0138385171219278, -0.103257489020622, 0.00270331398813018,     -0.00710766519948597, 0.0265004210700546, 0.0512825699211177,     -0.00140546909686742, 0.00463878381986735, -0.0189439273640902,     -0.114344607106148, -0.138187486464013, 0.00314912019539668,     -0.0106133933039199, 0.043988538139749, 0.00375673851431083,     -0.0120057031151827, 0.0489004666962014, 0.257419561496252,     -0.00710766519948597, 0.0236181254277507, -0.0972117419383224,     -0.184115577200964, 0.00515538101632445, -0.0189439273640901,     0.0817449413547495, 0.419224551439489, 0.499407405474335,     -0.0117757979020482, 0.043988538139749, -0.193194518446538,     -0.0138385171219278, 0.0489004666962014, -0.210101009164533,     -0.941267592738115, 0.0265004210700546, -0.0972117419383224,     0.42226391498444), dim = c(16L, 16L), dimnames = list(c("Intercept",     "age", "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"), c("Intercept", "age",     "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"))), stats = c(n = 800,     `Model L.R.` = 198.733217877431, d.f. = 15, R2 = 0.219965026393617,     g = 0.585082032793052, Sigma = 1.05797963607968), linear.predictors = c(`1` = 1.8273464762968,     `2` = 2.6542796288188, `3` = 2.91235879550687, `4` = 2.62632478687051,     `5` = 2.37478067233776, `6` = 2.57126669833247, `7` = 2.29342830409831,     `8` = 2.91272324756385, `9` = 2.7720149889747, `10` = 2.61802501930452,     `11` = 2.83995582973133, `12` = 3.15822090879926, `13` = 2.7318330139736,     `14` = 0.923092063185215, `15` = 2.35638427355456, `16` = 3.21291450377986,     `17` = 2.85930487738867, `18` = 1.85471780857574, `19` = 2.59507849617468,     `20` = 2.77516156003148, `21` = 2.37468336722965, `22` = 2.94734075955842,     `23` = 2.71890305200674, `24` = 2.56690580859943, `25` = 2.62312595210793,     `26` = 2.69985921118831, `27` = 2.46142105713551, `28` = 4.81182749551602,     `29` = 1.78100545234006, `30` = 2.51087836642562, `31` = 2.18383381057564,     `32` = 3.12042045378319, `33` = 2.962998524365, `34` = 2.17134047276968,     `35` = 2.49370220032693, `36` = 2.95708295768924, `37` = 4.12990022922827,     `38` = 2.68438147115392, `39` = 2.20205567454462, `40` = 1.89621933065192,     `41` = 3.17300922223564, `42` = 1.36495515601018, `43` = 4.9162768756297,     `44` = 2.34843367978997, `45` = 2.2828688390031, `46` = 2.47656065356765,     `47` = 3.35155981290649, `48` = 2.68466198933939, `49` = 1.72312215469336,     `50` = 2.5545423995087, `51` = 2.75451955418949, `52` = 2.82193431350933,     `53` = 2.40214416391366, `54` = 0.959203672924118, `55` = 2.43423806672798,     `56` = 2.38707792981996, `57` = 2.37029134741965, `58` = 2.24561426606161,     `59` = 2.30349409111093, `60` = 2.43894245579633, `61` = 2.82061452685481,     `62` = 3.40279330285509, `63` = 2.02110598950698, `64` = 2.43980467959036,     `65` = 2.55818586752441, `66` = 3.81749524286754, `67` = 2.55797249452663,     `68` = 1.86026293864306, `69` = 2.64852423658387, `70` = 2.39078281119623,     `71` = 4.20728393693173, `72` = 2.73321470694733, `73` = 2.13299125795756,     `74` = 2.40078521835743, `75` = 2.38732388647639, `76` = 2.48663441342883,     `77` = 2.48319236767406, `78` = 3.33474920590903, `79` = 2.72652344572814,     `80` = 2.502890404923, `81` = 2.38653230290044, `82` = 2.81510053286542,     `83` = 2.48414658771294, `84` = 2.62268592379984, `85` = 3.0651368477459,     `86` = 3.15791582696985, `87` = 2.24559620887642, `88` = 3.13179459683268,     `89` = 1.97357557764259, `90` = 2.77282308095323, `91` = 2.74016188199839,     `92` = 2.45176950529484, `93` = 3.32531928953431, `94` = 2.19751752606572,     `95` = 2.72674714579747, `96` = 2.42192340543888, `97` = 1.93076371222272,     `98` = 3.62929473538996, `99` = 1.35369434987869, `100` = 2.2547370962648,     `101` = 1.94409001325824, `102` = 2.62880112621963, `103` = 2.77137140917496,     `104` = 1.95738338715501, `105` = 2.72049174848199, `106` = 2.40243453220378,     `107` = 3.09735812074682, `108` = 2.75153859240597, `109` = 2.7634794003779,     `110` = 2.05813014540498, `111` = 2.65985862884668, `112` = 2.46522299246837,     `113` = 1.5703781919029, `114` = 2.69035917134868, `115` = 4.20861430662284,     `116` = 2.37125443702692, `117` = 2.36705613621479, `118` = 2.85308469084743,     `119` = 2.5415194010717, `120` = 3.15710460382206, `121` = 2.77865444148754,     `122` = 3.2954859943684, `123` = 2.70726046586218, `124` = 2.42473855283583,     `125` = 2.75546009888392, `126` = 1.93535012472394, `127` = 2.21956899382337,     `128` = 2.48911632772296, `129` = 2.93859012435979, `130` = 2.5501671026405,     `131` = 2.86395308616895, `132` = 2.9325665637652, `133` = 2.49741866101599,     `134` = 1.15477002080841, `135` = 2.85906509967744, `136` = 3.21480202919142,     `137` = 2.64844922449584, `138` = 1.81624171593204, `139` = 2.50256109585425,     `140` = 2.06026174870399, `141` = 2.41347967088569, `142` = 2.82647702488726,     `143` = 3.28776560599656, `144` = 2.74957705273186, `145` = 2.06055571226601,     `146` = 3.23783901748259, `147` = 3.0579009438373, `148` = 3.23597166652999,     `149` = 2.21636165136686, `150` = 2.77037519109151, `151` = 3.14335945231959,     `152` = 2.39156945942855, `153` = 2.78704915422625, `154` = 2.63941496646989,     `155` = 2.58610032037074, `156` = 2.70144690395644, `157` = 2.90426129456847,     `158` = 2.88420138031662, `159` = 2.39479076403391, `160` = 2.80509075142565,     `161` = 2.37161390962301, `162` = 2.41992065646662, `163` = 2.9052094221091,     `164` = 3.22550263914549, `165` = 1.73315464210068, `166` = 2.43142907624064,     `167` = 3.87849162526757, `168` = 1.08194647347416, `169` = 2.84365960719609,     `170` = 2.31147636681322, `171` = 2.76523847380424, `172` = 2.88117058586849,     `173` = 2.04732981907891, `174` = 2.07915665869094, `175` = 3.08110988123108,     `176` = 2.04592349294163, `177` = 2.56700092604082, `178` = 2.77907881429002,     `179` = 3.17846678411757, `180` = 2.65038681640476, `181` = 2.92913414157109,     `182` = 2.63780063630832, `183` = 2.45550173098484, `184` = 2.78684913414774,     `185` = 2.60955074916775, `186` = 2.67430224080449, `187` = 2.3114710982275,     `188` = 2.41392007655519, `189` = 2.85514775159917, `190` = 2.82657039075926,     `191` = 2.27203654778748, `192` = 2.37030879867869, `193` = 2.78189657176958,     `194` = 3.01888613570589, `195` = 2.66860452934713, `196` = 2.5229466489951,     `197` = 1.96437460612657, `198` = 2.29586715480886, `199` = 2.53040196702745,     `200` = 2.17979970489295, `201` = 2.99968367627667, `202` = 2.99303164445703,     `203` = 2.09396489715103, `204` = 2.63747526906564, `205` = 2.63430036234606,     `206` = 1.62346827950003, `207` = 2.86309558489206, `208` = 1.26999728769122,     `209` = 1.72020445809491, `210` = 2.91311906510036, `211` = 2.43319556057215,     `212` = 2.39109250097856, `213` = 1.6492458519465, `214` = 1.99197336957605,     `215` = 2.55334196204763, `216` = 2.41675268048625, `217` = 2.4118017030696,     `218` = 1.82904370247393, `219` = 1.96972936169113, `220` = 4.48347814044753,     `221` = 2.43357782876622, `222` = 2.88429652654287, `223` = 3.21160807310651,     `224` = 2.85022603796191, `225` = 2.52882699909125, `226` = 2.0957307798493,     `227` = 1.87895581468756, `228` = 3.18065900342439, `229` = 2.47307935938645,     `230` = 2.78536931497109, `231` = 2.19076727042225, `232` = 2.41128760676261,     `233` = 2.37131981545313, `234` = 2.55303760371157, `235` = 2.9199693414722,     `236` = 2.60397022793523, `237` = 2.35726095482352, `238` = 2.87899977284871,     `239` = 3.13468726875723, `240` = 2.58696063484866, `241` = 2.93480037321797,     `242` = 2.52196476517132, `243` = 2.23386570374798, `244` = 1.93400574589039,     `245` = 4.36159183616138, `246` = 3.30181888171832, `247` = 2.87275271626973,     `248` = 2.68680493967785, `249` = 2.9472147026804, `250` = 2.67701679026062,     `251` = 2.43874412812383, `252` = 2.69832522750769, `253` = 2.39815127697227,     `254` = 3.27416880961077, `255` = 2.89420394072003, `256` = 2.46206595690653,     `257` = 3.02161363337767, `258` = 2.37253590878611, `259` = 3.14803716395551,     `260` = 2.30477591805902, `261` = 1.20593814723825, `262` = 3.06200642364828,     `263` = 2.99889777179038, `264` = 2.14282555354455, `265` = 2.01335804244271,     `266` = 1.32272589615639, `267` = 2.45487059993715, `268` = 1.51492463330488,     `269` = 2.31193380003934, `270` = 2.69797296272068, `271` = 3.27746164011552,     `272` = 2.37320371671454, `273` = 2.44765266363073, `274` = 2.76426830101752,     `275` = 3.14991474578698, `276` = 1.91281943159906, `277` = 1.47871083226282,     `278` = 2.66139783025367, `279` = 3.0068312744844, `280` = 2.40803144249423,     `281` = 3.19967771868625, `282` = 2.38442996368075, `283` = 2.74742751208274,     `284` = 2.74151591243007, `285` = 2.53430303102901, `286` = 2.13304771295534,     `287` = 3.03502047926305, `288` = 2.40927804101479, `289` = 2.84449715484632,     `290` = 2.69872269248432, `291` = 4.2167466822975, `292` = 2.86134949044519,     `293` = 2.3240990316239, `294` = 2.58529458327362, `295` = 2.589177826791,     `296` = 1.65132282111858, `297` = 4.12860304687622, `298` = 2.9788838201833,     `299` = 2.03941888516452, `300` = 2.74426480590544, `301` = 2.70375821808304,     `302` = 2.42445684795484, `303` = 3.91189357427476, `304` = 2.46328928597437,     `305` = 2.71213347425702, `306` = 2.75078140564015, `307` = 2.39519608769782,     `308` = 1.97652601737173, `309` = 2.49237836450657, `310` = 3.02437447193905,     `311` = 2.63718302354101, `312` = 2.85937900798305, `313` = 2.54616629469414,     `314` = 2.7903511279751, `315` = 1.61496522808629, `316` = 2.84844468900093,     `317` = 2.37133176406135, `318` = 2.2342212333381, `319` = 2.39493857884649,     `320` = 1.88745641232398, `321` = 2.39649029076404, `322` = 2.25072436441753,     `323` = 2.36943155133288, `324` = 2.42743673231805, `325` = 2.97791930992207,     `326` = 2.09234168848051, `327` = 2.36240634177489, `328` = 1.1105791288804,     `329` = 2.37013324391512, `330` = 2.26471337954389, `331` = 3.05444517174529,     `332` = 2.38980742161709, `333` = 2.37786232477323, `334` = 1.78990970602347,     `335` = 2.70944370588652, `336` = 3.5683141888971, `337` = 2.44134246962534,     `338` = 2.25972174620225, `339` = 3.00918859646008, `340` = 2.18586223684944,     `341` = 2.74330408539129, `342` = 2.86867416819939, `343` = 2.06826131293291,     `344` = 3.63151763911666, `345` = 2.85886713213127, `346` = 2.21985116812454,     `347` = 2.3815434508579, `348` = 2.41350923720854, `349` = 2.89843556037318,     `350` = 2.23898268719741, `351` = 1.29584077798455, `352` = 2.51159663534582,     `353` = 2.85257238541717, `354` = 1.77903202336168, `355` = 2.55028022270778,     `356` = 2.44782824590644, `357` = 2.46271608796213, `358` = 2.51685373998414,     `359` = 2.41583566834669, `360` = 2.3728907565472, `361` = 2.369454773508,     `362` = 3.29250303236263, `363` = 2.66285306254625, `364` = 2.49029698546202,     `365` = 1.05306070502084, `366` = 1.86455368138798, `367` = 2.88031132181863,     `368` = 2.30036007798452, `369` = 2.11837578996616, `370` = 2.40083223927156,     `371` = 2.29153752579909, `372` = 2.44953094562367, `373` = 2.62721713144288,     `374` = 3.9441196218975, `375` = 2.9557674025679, `376` = 3.66113529407979,     `377` = 2.32038023868864, `378` = 2.87211440331623, `379` = 2.39293831188164,     `380` = 2.51344798573844, `381` = 4.63994090353258, `382` = 2.42205148785717,     `383` = 2.33462597983624, `384` = 2.23050814284012, `385` = 2.88331664462298,     `386` = 4.55690943309283, `387` = 2.58261047793064, `388` = 2.54193081869031,     `389` = 4.52295683194619, `390` = 2.14060027084606, `391` = 2.99869748680244,     `392` = 2.26250701192594, `393` = 2.01249031809818, `394` = 2.97085385284773,     `395` = 2.64468402413129, `396` = 2.33395576477012, `397` = 2.63502066231726,     `398` = 2.24915693049968, `399` = 2.58574738517705, `400` = 2.3716272899945,     `401` = 1.69024305202187, `402` = 3.19926868492288, `403` = 1.77606477443688,     `404` = 1.64318193529478, `405` = 2.83237040517646, `406` = 2.88901243357697,     `407` = 2.40363001910485, `408` = 2.56124257441973, `409` = 3.15661085878286,     `410` = 3.01754450476663, `411` = 1.66908846281502, `412` = 3.04638461915898,     `413` = 2.4902496498083, `414` = 2.32355269847258, `415` = 3.20708965017669,     `416` = 2.94047492110776, `417` = 3.039308895143, `418` = 2.4463121970276,     `419` = 2.85372829272876, `420` = 2.52921117908114, `421` = 2.20126381165548,     `422` = 3.67012958834098, `423` = 2.67998235983964, `424` = 2.48875766442306,     `425` = 2.98395742646305, `426` = 2.86885943428284, `427` = 2.36948098545145,     `428` = 2.41007394201668, `429` = 3.32665939652036, `430` = 2.60667304612803,     `431` = 2.3375066389785, `432` = 3.1650659263681, `433` = 2.87830655726086,     `434` = 2.24977346407656, `435` = 2.41284105666922, `436` = 2.87304300931647,     `437` = 2.46339398769293, `438` = 2.94459097140992, `439` = 2.44625020909451,     `440` = 1.88518695389097, `441` = 2.63410511427251, `442` = 3.31221841531284,     `443` = 1.75003520014887, `444` = 2.03294189166507, `445` = 1.66007689915753,     `446` = 2.29814525739876, `447` = 3.06648380940822, `448` = 2.57970479276396,     `449` = 2.36683669531664, `450` = 2.4670869173179, `451` = 2.44602851362862,     `452` = 3.45053339543596, `453` = 3.28071687825047, `454` = 3.04908277183995,     `455` = 2.37763546512344, `456` = 2.26398601372506, `457` = 2.692748575164,     `458` = 2.62690602442052, `459` = 2.71352920569489, `460` = 2.47429183434904,     `461` = 2.4039247810575, `462` = 1.93412621996201, `463` = 2.38480340226842,     `464` = 2.07063510996225, `465` = 2.40690117392684, `466` = 2.42420000654002,     `467` = 2.81475506919669, `468` = 2.20640905191678, `469` = 2.37632831310256,     `470` = 3.53490867501887, `471` = 3.41002468731006, `472` = 2.75092976639121,     `473` = 3.09480651714885, `474` = 1.90007305083701, `475` = 3.2296327868531,     `476` = 3.02534506485739, `477` = 2.53398829371899, `478` = 2.82791722535193,     `479` = 2.55583773830625, `480` = 2.59402715530063, `481` = 1.6781326990062,     `482` = 2.87293840540908, `483` = 4.03969129126323, `484` = 3.19450816106775,     `485` = 2.68239952858409, `486` = 2.39405541049845, `487` = 2.71100128720999,     `488` = 3.00282156550285, `489` = 3.40302266876215, `490` = 2.88352616157181,     `491` = 3.52856064048011, `492` = 2.62144967861979, `493` = 2.77538989742825,     `494` = 3.59999333050544, `495` = 6.16348972719813, `496` = 2.4891599433751,     `497` = 2.37034460924193, `498` = 2.59980779332976, `499` = 2.30071384805534,     `500` = 3.07614227765401, `501` = 2.73259013984369, `502` = 3.25338285299229,     `503` = 2.04661688530079, `504` = 2.119780819561, `505` = 3.11313609957979,     `506` = 2.6988744349033, `507` = 2.38395417253592, `508` = 2.18648950581266,     `509` = 2.42837885798354, `510` = 2.68221147267643, `511` = 2.25428068095068,     `512` = 3.75887229099597, `513` = 2.65473882617471, `514` = 2.69017623822354,     `515` = 2.62515548587877, `516` = 2.34064129442189, `517` = 2.37656062416954,     `518` = 3.11073225841166, `519` = 1.65824952962201, `520` = 3.05076882119208,     `521` = 2.50896463090888, `522` = 2.77691889731644, `523` = 2.48655516799708,     `524` = 2.4847705304522, `525` = 2.83484261483298, `526` = 2.39148791182408,     `527` = 3.08293761712995, `528` = 2.11610089991802, `529` = 1.5441706288409,     `530` = 2.29338823560684, `531` = 2.2357005930668, `532` = 2.00046452981165,     `533` = 2.46775766392926, `534` = 2.37518687841549, `535` = 2.26924539949773,     `536` = 2.69708958988384, `537` = 1.7759969284976, `538` = 2.87932697846107,     `539` = 2.51924964421704, `540` = 2.41448920694114, `541` = 2.73088979297616,     `542` = 2.33592937775142, `543` = 2.42699526496006, `544` = 3.26971833241992,     `545` = 3.80927075812981, `546` = 3.64604939844582, `547` = 1.96050051349709,     `548` = 2.37166914445101, `549` = 2.60110158015077, `550` = 2.19353040701009,     `551` = 1.66039378190514, `552` = 2.81717036355495, `553` = 2.63349707431426,     `554` = 2.69710127484472, `555` = 1.90798875869868, `556` = 2.31371567893383,     `557` = 1.77090083956038, `558` = 2.37391574467976, `559` = 2.50262689711419,     `560` = 2.31168914410283, `561` = 2.22625805533233, `562` = 1.68021749593895,     `563` = 2.51377897825149, `564` = 2.09808172086947, `565` = 3.09578583530429,     `566` = 2.19900715901313, `567` = 1.80979414421884, `568` = 1.78503396884665,     `569` = 2.50774132675897, `570` = 2.49239230729125, `571` = 2.76211802056802,     `572` = 2.4495274017885, `573` = 3.28892969636115, `574` = 3.15211213487484,     `575` = 2.92840573999153, `576` = 2.7042293900111, `577` = 2.94371744049618,     `578` = 2.47580774375233, `579` = 2.92455079876968, `580` = 2.57811464680771,     `581` = 2.09501725666443, `582` = 2.11233201384487, `583` = 2.17435383560045,     `584` = 2.36979159264026, `585` = 2.67342838683219, `586` = 2.56022536590253,     `587` = 2.37232436135092, `588` = 2.27233056465191, `589` = 3.0468428457455,     `590` = 2.55069457032584, `591` = 2.09756322003269, `592` = 2.40306812582161,     `593` = 2.45500210452847, `594` = 2.86907537820904, `595` = 2.60261574773351,     `596` = 2.46107520830906, `597` = 1.85902245529062, `598` = 2.89225570374173,     `599` = 2.65436849639519, `600` = 2.87087714348427, `601` = 3.46886542980082,     `602` = 2.68512701414622, `603` = 2.35003691394945, `604` = 2.14627270516146,     `605` = 2.23384069990504, `606` = 2.26441295743203, `607` = 2.85303023058625,     `608` = 2.52519561937849, `609` = 1.57105260574496, `610` = 2.37037349981258,     `611` = 3.04865674785886, `612` = 2.66980960831409, `613` = 2.26749788061542,     `614` = 2.82468867713131, `615` = 2.3195107615215, `616` = 2.45284107326388,     `617` = 2.56240566991253, `618` = 3.5032340625682, `619` = 2.99012848419003,     `620` = 3.69815882893603, `621` = 2.90806077391049, `622` = 2.69781322229088,     `623` = 3.14076048190506, `624` = 4.49059794128407, `625` = 3.74525948670074,     `626` = 2.36112028298741, `627` = 2.40385272685886, `628` = 2.6893053745018,     `629` = 2.3797231366545, `630` = 2.71343039320212, `631` = 2.24472670443739,     `632` = 2.93449351293732, `633` = 4.64415079258173, `634` = 2.94929885043176,     `635` = 2.8726564625836, `636` = 2.61383490293316, `637` = 3.26153429983134,     `638` = 2.47400494380402, `639` = 3.01176455064242, `640` = 3.49592172694681,     `641` = 2.67957734578401, `642` = 3.17453140868152, `643` = 2.32665270498733,     `644` = 2.7575036297423, `645` = 2.0689328843544, `646` = 2.46785376746714,     `647` = 3.32570305967851, `648` = 0.905248324266446, `649` = 2.50428948117561,     `650` = 2.53912900337754, `651` = 2.3826549275648, `652` = 2.44542191253417,     `653` = 2.62469142433065, `654` = 2.65637163809148, `655` = 2.66860851254179,     `656` = 2.38249985819357, `657` = 2.66226570688936, `658` = 3.3192449193186,     `659` = 2.73111344992993, `660` = 3.04282974391802, `661` = 2.45256085675311,     `662` = 2.67768607034304, `663` = 2.77783018778015, `664` = 2.1579712498587,     `665` = 2.37298409942318, `666` = 3.77862150624116, `667` = 2.11634477584323,     `668` = 2.94397684292152, `669` = 2.36024450269283, `670` = 1.96870553397572,     `671` = 1.70461446504352, `672` = 2.11940451882738, `673` = 1.7263870453371,     `674` = 2.08704111428627, `675` = 2.95687309973058, `676` = 2.37665447487459,     `677` = 3.15422627810539, `678` = 2.49702523812035, `679` = 1.92644836113277,     `680` = 2.34875871370472, `681` = 2.22844659869117, `682` = 2.28679608898358,     `683` = 2.62823063420633, `684` = 2.45143195137904, `685` = 2.8489110203038,     `686` = 2.65175935979436, `687` = 2.88524094060349, `688` = 2.5952722765178,     `689` = 2.37231532291548, `690` = 2.76339467172705, `691` = 2.8873289565435,     `692` = 2.30150257336182, `693` = 2.49468059867389, `694` = 2.9386886921381,     `695` = 3.75746997650522, `696` = 2.66568016818031, `697` = 2.4930667288634,     `698` = 3.13380307686093, `699` = 2.10019517768552, `700` = 2.38255703596884,     `701` = 2.86056652465783, `702` = 2.25938206522155, `703` = 2.89379813499127,     `704` = 2.25180330762531, `705` = 2.65134453007541, `706` = 2.49261895369649,     `707` = 2.92482004635633, `708` = 2.99960795197273, `709` = 2.39534315168548,     `710` = 2.80968394898164, `711` = 1.5365706856904, `712` = 2.36240206475222,     `713` = 1.74480446929666, `714` = 2.69272631893605, `715` = 2.51260627559957,     `716` = 2.46876974298805, `717` = 2.40833157695587, `718` = 3.3687784443709,     `719` = 2.5060766692575, `720` = 3.76322910561409, `721` = 2.68274467180769,     `722` = 2.73776984498368, `723` = 3.20084163854064, `724` = 2.15532930018422,     `725` = 2.37168049406483, `726` = 2.49101118391487, `727` = 2.64893383948362,     `728` = 2.55000347491773, `729` = 2.23662652396895, `730` = 3.20003639165197,     `731` = 2.66800696736024, `732` = 3.05525636675038, `733` = 1.18148846416636,     `734` = 3.54271987460358, `735` = 2.99515813678729, `736` = 2.39151522397183,     `737` = 2.38585928232041, `738` = 3.08656767068624, `739` = 2.61626780552435,     `740` = 2.97115704778034, `741` = 3.03439656895824, `742` = 2.37931601007593,     `743` = 2.33883331819551, `744` = 1.60348696140688, `745` = 1.11688145045703,     `746` = 2.57736600422859, `747` = 2.66802533594202, `748` = 2.26404981534278,     `749` = 3.07219106215321, `750` = 2.77050828138718, `751` = 2.428794530875,     `752` = 2.44110931378247, `753` = 2.99082624009212, `754` = 2.80966642752265,     `755` = 2.89406725105139, `756` = 2.77030884986535, `757` = 4.15811193019416,     `758` = 2.57886699953155, `759` = 2.2280269081183, `760` = 2.23759767417144,     `761` = 2.5058665552149, `762` = 2.35823648366692, `763` = 2.57415384248165,     `764` = 3.10240981596749, `765` = 2.37066373006279, `766` = 1.26531154683944,     `767` = 3.17649132143359, `768` = 2.75939408955155, `769` = 2.92685172692651,     `770` = 2.3324407578609, `771` = 2.65018850565418, `772` = 1.61809174258647,     `773` = 2.71163104961438, `774` = 2.7686205447316, `775` = 2.07510786293649,     `776` = 2.19346015793001, `777` = 3.05666417694624, `778` = 2.61234105858666,     `779` = 2.46128612603711, `780` = 2.74057681523593, `781` = 1.82127812685098,     `782` = 2.95877261683777, `783` = 1.74839601569804, `784` = 1.88235766204648,     `785` = 2.82663471616036, `786` = 3.00464332237119, `787` = 1.84219985532157,     `788` = 3.04630071488416, `789` = 2.83071631673509, `790` = 2.50017115705951,     `791` = 2.37261285446862, `792` = 1.98067493063167, `793` = 2.47455687271204,     `794` = 3.62089358349168, `795` = 1.73327011655719, `796` = 1.99643069057204,     `797` = 4.06628378549785, `798` = 1.90545718313818, `799` = 1.36597756677296,     `800` = 2.60145375327965), call = ols(formula = y ~ rcs(age,         4) * treat * sex), terms = y ~ rcs(age, 4) * treat *         sex, Design = list(name = c("age", "treat", "sex", "age * treat",     "age * sex", "treat * sex", "age * treat * sex"), label = c("age",     "treat", "sex", "age * treat", "age * sex", "treat * sex",     "age * treat * sex"), units = c(age = "", treat = "", sex = ""    ), colnames = c("age", "age'", "age''", "treat=placebo",     "sex=male", "age * treat=placebo", "age' * treat=placebo",     "age'' * treat=placebo", "age * sex=male", "age' * sex=male",     "age'' * sex=male", "treat=placebo * sex=male", "age * treat=placebo * sex=male",     "age' * treat=placebo * sex=male", "age'' * treat=placebo * sex=male"    ), mmcolnames = c("rcs(age, 4)age", "rcs(age, 4)age'", "rcs(age, 4)age''",     "treatplacebo", "sexmale", "rcs(age, 4)age:treatplacebo",     "rcs(age, 4)age':treatplacebo", "rcs(age, 4)age'':treatplacebo",     "rcs(age, 4)age:sexmale", "rcs(age, 4)age':sexmale", "rcs(age, 4)age'':sexmale",     "treatplacebo:sexmale", "rcs(age, 4)age:treatplacebo:sexmale",     "rcs(age, 4)age':treatplacebo:sexmale", "rcs(age, 4)age'':treatplacebo:sexmale"    ), assume = c("rcspline", "category", "category", "interaction",     "interaction", "interaction", "interaction"), assume.code = c(4L,     5L, 5L, 9L, 9L, 9L, 9L), parms = list(age = c(33.006063739913,     46.0450788298244, 53.6005047434426, 67.3753079336887), treat = c("drug",     "placebo"), sex = c("female", "male"), `age * treat` = structure(c(1,     2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `age * sex` = structure(c(1,     3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `treat * sex` = structure(c(2,     3, 0, 0, 0, 0), dim = 3:2, dimnames = list(NULL, c("parms",     ""))), `age * treat * sex` = structure(c(1L, 2L, 3L, 0L,     0L, 0L, 1L, 0L, 0L, 1L, 0L, 0L), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", "")))), limits = list(), values = list(),         nonlinear = list(age = c(FALSE, TRUE, TRUE), treat = FALSE,             sex = FALSE, `age * treat` = c(FALSE, TRUE, TRUE),             `age * sex` = c(FALSE, TRUE, TRUE), `treat * sex` = FALSE,             `age * treat * sex` = c(FALSE, TRUE, TRUE)), tex = list(),         interactions = structure(c(1, 2, 0, 1, 3, 0, 2, 3, 0,         1, 2, 3), dim = 3:4)), non.slopes = 1, na.action = NULL,     scale.pred = "y", fail = FALSE, sformula = y ~ rcs(age, 4) *         treat * sex), class = c("ols", "rms", "lm")), factors = list(    x2 = c("a", "a", "b")), expand = TRUE): factor(s) not in design: x2

# Get a test of association of a continuous predictor with y
# First assume linearity, then cubic

f <- lrm(y>0 ~ x1 + x2)
#> Error in Design(data, formula = formula): dataset dd not found for options(datadist=)
anova(f)
#> Warning: tests of nonlinear interaction with respect to single component 
#> variables ignore 3-way interactions
#>                 Analysis of Variance          Response: y 
#> 
#>  Factor                                           d.f. Partial SS MS    F    
#>  age  (Factor+Higher Order Factors)                12  221.75     18.48 16.51
#>   All Interactions                                  9   32.75      3.64  3.25
#>   Nonlinear (Factor+Higher Order Factors)           8   33.38      4.17  3.73
#>  treat  (Factor+Higher Order Factors)               8   29.35      3.67  3.28
#>   All Interactions                                  7   25.69      3.67  3.28
#>  sex  (Factor+Higher Order Factors)                 8   44.94      5.62  5.02
#>   All Interactions                                  7   38.59      5.51  4.93
#>  age * treat  (Factor+Higher Order Factors)         6   13.53      2.26  2.02
#>   Nonlinear (Factor+Higher Order Factors)           4    9.73      2.43  2.17
#>   Nonlinear Interaction : f(A,B) vs. AB             2    9.47      4.74  4.23
#>  age * sex  (Factor+Higher Order Factors)           6   24.86      4.14  3.70
#>   Nonlinear (Factor+Higher Order Factors)           4   21.31      5.33  4.76
#>   Nonlinear Interaction : f(A,B) vs. AB             2   18.82      9.41  8.41
#>  treat * sex  (Factor+Higher Order Factors)         4   21.54      5.38  4.81
#>  age * treat * sex  (Factor+Higher Order Factors)   3    8.26      2.75  2.46
#>   Nonlinear                                         2    4.92      2.46  2.20
#>  TOTAL NONLINEAR                                    8   33.38      4.17  3.73
#>  TOTAL INTERACTION                                 10   44.92      4.49  4.01
#>  TOTAL NONLINEAR + INTERACTION                     12   50.10      4.18  3.73
#>  REGRESSION                                        15  247.46     16.50 14.74
#>  ERROR                                            784  877.55      1.12      
#>  P     
#>  <.0001
#>  0.0007
#>  0.0003
#>  0.0011
#>  0.0019
#>  <.0001
#>  <.0001
#>  0.0613
#>  0.0703
#>  0.0149
#>  0.0012
#>  0.0008
#>  0.0002
#>  0.0008
#>  0.0617
#>  0.1119
#>  0.0003
#>  <.0001
#>  <.0001
#>  <.0001
#>        
contrast(f, list(x1=1), list(x1=0), type='joint')  # a minimum set of contrasts
#> Error in gendata(structure(list(coefficients = c(Intercept = 3.81130652398641, age = -0.0364542267418386, `age'` = 0.148834151508506, `age''` = -0.308632674204754, `treat=placebo` = -4.30283998912834, `sex=male` = -4.63346348145351, `age * treat=placebo` = 0.0998279739052187, `age' * treat=placebo` = -0.213913393443712, `age'' * treat=placebo` = 0.67409687853917, `age * sex=male` = 0.104212923375674, `age' * sex=male` = -0.158890866453074, `age'' * sex=male` = 0.246292360607691, `treat=placebo * sex=male` = 5.22560180935418, `age * treat=placebo * sex=male` = -0.114281894990881, `age' * treat=placebo * sex=male` = 0.190288298144725, `age'' * treat=placebo * sex=male` = -0.531569263503839), residuals = c(`1` = 0.473393142582745, `2` = -0.141559791486677, `3` = -0.788168025049547, `4` = 0.21054460675534, `5` = -0.052168426620235, `6` = 0.761192562957081, `7` = 0.294525427210084, `8` = 0.778992893373488, `9` = 0.417287271554842, `10` = 0.290026003424354, `11` = 0.77328492180143, `12` = -2.21856076335012, `13` = 0.620135735603211, `14` = -0.982486976113407, `15` = 0.389096872806126, `16` = 1.59165472133739, `17` = -0.409213518976697, `18` = -1.01752036715792, `19` = -0.181346995214259, `20` = 1.55581748864713, `21` = 0.139346338170896, `22` = 0.182066734033289, `23` = -0.618424389312127, `24` = -0.554081714108963, `25` = -0.171166590200338, `26` = -1.62301559024683, `27` = 1.27268310855217, `28` = -0.297789023228669, `29` = -1.9880106628626, `30` = -0.0368175155551034, `31` = -0.196960382730091, `32` = -1.51235368602801, `33` = 2.09241307495163, `34` = -1.07041636223387, `35` = -1.24454134745706, `36` = 0.576950328441049, `37` = 0.521488615375679, `38` = -0.229134628183383, `39` = 0.00400141112061388, `40` = -0.990190237387313, `41` = 1.2851274365228, `42` = 0.412589547973587, `43` = -0.787399977989638, `44` = 0.769006437456616, `45` = 0.988895426233647, `46` = -0.630295684848831, `47` = 0.562724155069554, `48` = -1.02269815967957, `49` = 2.02836178241615, `50` = 0.578962554814852, `51` = -0.0651227409029367, `52` = -0.482601584661845, `53` = -0.122710775094478, `54` = -0.745924474389847, `55` = 0.129232404629066, `56` = 0.69644800326718, `57` = -0.383650193614412, `58` = -1.03505602134916, `59` = -1.63181622155276, `60` = 0.629963250715442, `61` = 0.411215136470065, `62` = -0.127687518348258, `63` = -0.469469751114936, `64` = 0.318556449350774, `65` = -1.25267393092262, `66` = -1.39145828713222, `67` = -1.50318216737249, `68` = -0.570988109041285, `69` = 0.758112000717413, `70` = 0.764329699642486, `71` = -0.499944600769316, `72` = 1.3565106792036, `73` = -1.09027293012492, `74` = -0.393603041309807, `75` = -0.620376160132382, `76` = 0.265615235504436, `77` = -1.6461764280938, `78` = 1.2659298679682, `79` = 1.14059651838309, `80` = 0.791415273046844, `81` = 0.0314759530563674, `82` = 1.15851435544224, `83` = 0.471405507875407, `84` = 0.927581672841119, `85` = 0.164476032654289, `86` = 0.510352863388586, `87` = -2.33584512359756, `88` = -0.34780227924363, `89` = 1.10708324238512, `90` = 0.094798752715391, `91` = -1.23649875869111, `92` = -0.910146298085997, `93` = -0.683990253631276, `94` = 2.09490238568856, `95` = -0.0760714931017753, `96` = -0.573286663753271, `97` = -1.98908763334468, `98` = -1.81647642962243, `99` = 1.32438574368848, `100` = -0.86903377235127, `101` = 1.40641158624571, `102` = -0.360743393233509, `103` = -2.33335838717408, `104` = 2.17624702802662, `105` = -0.977495246805378, `106` = -0.408795499563846, `107` = 0.157762335504203, `108` = -0.133874450719822, `109` = -1.4245090565002, `110` = -1.53795672784485, `111` = 1.28342330422267, `112` = -0.905054646526503, `113` = 1.02311908315981, `114` = 1.67008317138642, `115` = -0.71401825217723, `116` = -0.578153505698901, `117` = -1.95986738456425, `118` = 1.89141370855209, `119` = -0.779653582026061, `120` = -0.0632922274198554, `121` = -1.27400237607834, `122` = 1.10713913145023, `123` = 1.57817020329863, `124` = 0.302648894059498, `125` = -0.44530813884912, `126` = -1.56720865277409, `127` = 1.26760092041906, `128` = 0.702371105475438, `129` = -0.0126092509352822, `130` = 1.3261327498269, `131` = 1.34157201563317, `132` = -0.437113083384821, `133` = -1.22319240883817, `134` = 1.10738117649282, `135` = 0.732099554148857, `136` = -0.131637260437666, `137` = 3.03471394221772, `138` = -2.54280583571282, `139` = -0.194474563460366, `140` = 1.11126010268969, `141` = 1.54804718702491, `142` = 0.987423986854891, `143` = 0.2270208340922, `144` = 0.774506729389174, `145` = 0.530040440803476, `146` = 0.0480187567561099, `147` = -0.760816625072516, `148` = 1.60621319216395, `149` = -0.314437680874743, `150` = -0.327722008888805, `151` = 0.206624190196415, `152` = 0.0617307906368444, `153` = -2.00040383856708, `154` = -0.458530949692246, `155` = 0.458977472470989, `156` = 1.19787630775429, `157` = -1.19270271783315, `158` = -0.625978129815824, `159` = -2.33795700121927, `160` = 0.69145784309282, `161` = 0.133499618785992, `162` = 0.861126548699294, `163` = -0.968400958900246, `164` = 0.593799579402085, `165` = 0.999546907045159, `166` = -0.165590178876463, `167` = 0.927907153642925, `168` = 0.97708644273119, `169` = -1.56469829290578, `170` = 0.325942381829308, `171` = -2.52328229293399, `172` = -0.220554561892202, `173` = -0.578995539868613, `174` = 0.943962991225024, `175` = -0.28762618678959, `176` = -0.623671701835947, `177` = -0.0341104023900253, `178` = 0.157640040779364, `179` = -0.677970796516483, `180` = -0.797916706774773, `181` = -1.20816910766897, `182` = -1.59804104009406, `183` = -0.723459862012967, `184` = 0.0690788908253884, `185` = -1.4455806298819, `186` = 0.422969891784379, `187` = -0.887030288014093, `188` = 0.377087057164622, `189` = 0.178111741409501, `190` = -0.362378737758759, `191` = -1.95828918660721, `192` = -1.46799011274907, `193` = -2.56615377178761, `194` = 1.36761607831182, `195` = -0.408212369596027, `196` = 1.75680421917922, `197` = -1.36059376866375, `198` = 1.47639510785232, `199` = 1.04571766902045, `200` = -0.78594720595898, `201` = 0.78188441248486, `202` = 0.644318907294342, `203` = -0.176077616379735, `204` = 1.47487230092207, `205` = -0.344437358216782, `206` = 2.07294602737772, `207` = -1.15341579063268, `208` = 1.58614770595903, `209` = -0.36758868526355, `210` = 0.440207666569601, `211` = -0.275306420511773, `212` = -0.132424702653712, `213` = -0.0482918827367892, `214` = 0.700333579034905, `215` = 0.153552167666028, `216` = 1.354904437276, `217` = -0.0940210930784746, `218` = 0.178249213418117, `219` = -0.0718590169721228, `220` = -0.372132565126363, `221` = 0.2743337233337, `222` = 0.995628997256991, `223` = 0.887256216024083, `224` = 1.02740258604454, `225` = 1.85132165161094, `226` = 0.135133292496099, `227` = 0.272018643509762, `228` = 1.623520847384, `229` = -0.0371489772319791, `230` = -1.02981802460295, `231` = -0.850432580867964, `232` = -0.565802227982752, `233` = -1.30510264397433, `234` = 1.25007618135143, `235` = -0.57526258593963, `236` = 1.24186815887754, `237` = 2.4105885346059, `238` = -0.347283504658361, `239` = 0.563423156759932, `240` = -0.662253648583073, `241` = 2.95491788703927, `242` = -0.961770230160829, `243` = 0.955674155023439, `244` = 0.972303956215665, `245` = 0.98934493625832, `246` = 1.10414013365689, `247` = 0.611263225798478, `248` = 0.568958545849905, `249` = -0.854717847927866, `250` = 0.350946835829447, `251` = -0.292457058101941, `252` = 2.75357107350176, `253` = 0.834242176262766, `254` = 1.26696116962087, `255` = -2.21287516293338, `256` = -1.28952973897863, `257` = -0.891829646108193, `258` = -0.459611780815687, `259` = -0.360470725493518, `260` = 0.641678262155804, `261` = -0.103990683020398, `262` = -0.178524851655183, `263` = 1.25677935380373, `264` = -2.13892491708195, `265` = -0.291827529434965, `266` = 1.12341318276903, `267` = 1.11983686151372, `268` = -0.137741552160711, `269` = -0.652781641884896, `270` = -0.216624624750199, `271` = -0.353021091043571, `272` = -0.297813327146467, `273` = -1.36327372004937, `274` = -0.205915013958304, `275` = 0.443664560139034, `276` = -0.449297489381728, `277` = -0.894191238077295, `278` = -1.79203325611391, `279` = -0.338917970655343, `280` = 1.78454097846621, `281` = -0.486091714453967, `282` = -0.591510503346713, `283` = 2.73050658453025, `284` = -1.97455321466408, `285` = 0.119995857914282, `286` = 0.719969756085881, `287` = -0.382643281434768, `288` = 1.27441154210719, `289` = 0.794322022197328, `290` = 0.0192342199461539, `291` = -1.10256862275973, `292` = 0.317607647584267, `293` = -0.313727631989234, `294` = -0.97124484737473, `295` = -0.000554259159670144, `296` = 0.38261760244071, `297` = -0.0103759782320025, `298` = 0.901824392365618, `299` = -2.43376069040953, `300` = 0.685216088057129, `301` = -0.65380455159173, `302` = 0.362082168407164, `303` = 1.22563369526588, `304` = 0.176269416098703, `305` = 0.0603768424851903, `306` = -2.67850521791345, `307` = -1.11241691981968, `308` = 0.729911896694816, `309` = -1.4325825658838, `310` = -0.0606715332645114, `311` = 0.240679514346496, `312` = -0.36041902727999, `313` = -0.729918732527916, `314` = -1.47883030018216, `315` = 0.447833665156941, `316` = -1.91727568754626, `317` = -0.796563030292006, `318` = -0.0786569709999069, `319` = -0.912599036896566, `320` = -0.374280879830022, `321` = 0.913925288194581, `322` = 0.0474455921381818, `323` = 0.267830904503625, `324` = 1.39415054076247, `325` = 0.0335244297731983, `326` = 0.0636535096050474, `327` = -1.95400847855562, `328` = 0.184180234167246, `329` = -0.630138130177308, `330` = -1.23937518977461, `331` = 1.21908437476211, `332` = 0.0886511555240727, `333` = 1.067459014511, `334` = -0.897215731172858, `335` = -2.43184076594686, `336` = 0.248715846417063, `337` = 1.00186646100921, `338` = 2.57202091329185, `339` = 1.06115664145703, `340` = 1.03242583230715, `341` = -0.516295870204025, `342` = 0.373684256030876, `343` = -0.696287403144038, `344` = 0.507426741798138, `345` = -1.14483927721652, `346` = -0.347702006329537, `347` = -1.34120925655074, `348` = 0.132263987256395, `349` = 0.461052261030674, `350` = 0.0364585430873317, `351` = -0.371637290517893, `352` = -0.250277953651279, `353` = -1.60952300211484, `354` = -0.0811655594020712, `355` = -1.94480643727683, `356` = 0.0367058513086389, `357` = 1.84673389295959, `358` = 0.687352765565837, `359` = 1.54834126785165, `360` = 1.47999715561202, `361` = -0.199412609175701, `362` = 0.442441122559382, `363` = -1.93794678614154, `364` = 0.903480758590514, `365` = -0.878779905489679, `366` = 0.93814648685653, `367` = -1.87001575381933, `368` = 1.14323506747458, `369` = -0.725525776777194, `370` = 1.52506612906047, `371` = 0.00133214565857233, `372` = -0.838325869616721, `373` = 0.619360156838574, `374` = 0.0185145811407747, `375` = -0.58793826643742, `376` = -0.809633520870028, `377` = 2.42474631250702, `378` = -0.899589296893904, `379` = 0.666213188688393, `380` = -0.224862675418023, `381` = -0.972357798866612, `382` = -1.31865648202374, `383` = -1.47590975195639, `384` = -1.42865950669184, `385` = -1.49391787590036, `386` = 0.735425852771022, `387` = -0.113293590187947, `388` = 1.82657917147067, `389` = 0.684065496953059, `390` = 1.61818216434126, `391` = 0.569787413227696, `392` = 0.872287836388432, `393` = 0.443883392621181, `394` = -0.263756227170968, `395` = 0.778842679122107, `396` = 0.00386362534273763, `397` = 0.906521196971356, `398` = -0.769442771559844, `399` = 0.918485635776285, `400` = -0.183600646187187, `401` = -0.854910509609521, `402` = -1.65994175471195, `403` = 1.41522115542652, `404` = 0.323028751572093, `405` = -0.0393960735383096, `406` = 0.761127380405703, `407` = 0.0518915602823483, `408` = -1.47493631559061, `409` = -2.05463374640576, `410` = -0.0262636160583861, `411` = -0.277152617048994, `412` = -0.95237179052035, `413` = 0.524979812606982, `414` = -0.30867595543128, `415` = 0.751031553977189, `416` = 1.32068395900713, `417` = -0.525437630091273, `418` = -0.82145895157684, `419` = 0.177714874920089, `420` = 1.54384127078222, `421` = -1.69461301507659, `422` = -1.12891772319357, `423` = -0.814871565802017, `424` = 0.358721105700531, `425` = 2.4283421361755, `426` = -0.44303787458905, `427` = -0.29598138757007, `428` = -1.6397583939611, `429` = -0.564934508157389, `430` = 0.625765363492575, `431` = -0.730962962130021, `432` = -0.417207085813908, `433` = -0.329865255662936, `434` = -0.0812245264952631, `435` = 1.70677405289037, `436` = 1.29706910069198, `437` = 2.10461847554973, `438` = -1.81676326145784, `439` = -0.408964591583987, `440` = 0.831861743697683, `441` = -0.368848037368429, `442` = 0.701150634706081, `443` = -0.629670051750208, `444` = -1.89424938156875, `445` = -1.03510035005447, `446` = 1.91654699439126, `447` = -0.137342244885132, `448` = 1.63161829549619, `449` = 0.872678003141009, `450` = 0.7354940205863, `451` = 1.71013693442075, `452` = -1.50536568326281, `453` = -0.260600196842927, `454` = -0.205015767917604, `455` = -0.799765233209928, `456` = -0.27203163937395, `457` = -1.97187543477011, `458` = -1.549080711885, `459` = 0.534916953819233, `460` = 0.267228963565255, `461` = 1.40004004146821, `462` = -0.231856921651543, `463` = -0.269343297756892, `464` = -0.351253623054593, `465` = -0.865256406841322, `466` = 0.322082355332635, `467` = -1.17690997944313, `468` = 0.534593844400968, `469` = -0.0540326192287986, `470` = 0.547909049107145, `471` = 1.33178809602133, `472` = -0.318723594185765, `473` = -0.174539116340187, `474` = 0.0645307518722822, `475` = -0.363815536468061, `476` = 1.69046367398989, `477` = 0.0558511635150722, `478` = 0.853076900725734, `479` = 0.353208463444756, `480` = 1.26624811768733, `481` = -0.175276235619638, `482` = -2.67968807484938, `483` = 0.140650878745784, `484` = -0.683261859913555, `485` = 0.39988913139711, `486` = -0.921886641491984, `487` = -0.123478700464778, `488` = -0.483834170295311, `489` = -0.410132833268128, `490` = -0.630367617844952, `491` = -0.898087147980022, `492` = 0.061419860055552, `493` = -1.24305510798906, `494` = -0.199396181289918, `495` = -0.324262165272746, `496` = -0.654781741789735, `497` = 1.87250328682731, `498` = -1.74630441027651, `499` = 0.0275580206618543, `500` = -1.14997326268865, `501` = -1.40301688821418, `502` = -0.14100649790472, `503` = 2.16148598856364, `504` = 1.19952737027423, `505` = 0.353897451004024, `506` = -0.739164373388727, `507` = 2.15860514356829, `508` = -0.457866905854127, `509` = -1.09598276735103, `510` = -1.24445107762985, `511` = -0.601946374367648, `512` = 1.75106898973113, `513` = 1.05292684391896, `514` = 0.465292485092317, `515` = -1.76974816885205, `516` = -0.260967988129897, `517` = 1.13139835620884, `518` = -0.346246228656431, `519` = -0.509655431433273, `520` = 0.0446962529239993, `521` = -0.893603197098097, `522` = -0.264265589387314, `523` = 2.37927093190715, `524` = 0.56623940637046, `525` = 1.26084854960676, `526` = -0.16122008287042, `527` = -0.476290255141048, `528` = 0.62792198670192, `529` = -1.42352810998377, `530` = 1.24879131206239, `531` = -0.243473120349148, `532` = -2.93573308282161, `533` = -0.836853203515277, `534` = -0.289078433350248, `535` = 2.0146017680782, `536` = -0.112083638190287, `537` = -1.34164918116908, `538` = -0.286109197263816, `539` = -0.921551331259077, `540` = -1.50762020479464, `541` = -0.899204724499733, `542` = -1.84270843154796, `543` = 2.47910460085213, `544` = 0.355823818882617, `545` = 0.706619369595011, `546` = -1.06623568528134, `547` = 1.27849806285197, `548` = 0.650459328938198, `549` = -1.08448801914052, `550` = -0.331096713214464, `551` = -0.362181387236569, `552` = 1.36520633218548, `553` = -0.228989645926182, `554` = 1.19532656192675, `555` = 0.720309310162288, `556` = -0.283118690576896, `557` = 0.0935562293552512, `558` = -0.73632605030403, `559` = -0.386018975162292, `560` = -1.61510382032058, `561` = -0.647358021747128, `562` = -0.198189055902959, `563` = -0.231859676486582, `564` = 2.46984610041161, `565` = 0.401287656437332, `566` = -1.50462690049602, `567` = 1.06286502976489, `568` = -0.275807347295196, `569` = 1.40163112935451, `570` = -0.135627762285509, `571` = 1.59671907753339, `572` = 0.0332454746191333, `573` = -0.46390113438653, `574` = 2.04667164615292, `575` = -1.26648358451873, `576` = 0.34241800164842, `577` = -0.862845130940423, `578` = 1.17888758326791, `579` = 0.482871358449955, `580` = -0.586203075632172, `581` = -0.313436280167181, `582` = 0.666317498206885, `583` = -1.09381644255708, `584` = -0.64706278998496, `585` = 0.522473010345057, `586` = 0.69004630757896, `587` = -1.58732753392557, `588` = -0.0292439105393772, `589` = -0.95223314589784, `590` = -0.810897881173304, `591` = 1.09047425654457, `592` = 1.0984719685864, `593` = -0.101880226320777, `594` = -0.885731653711405, `595` = 0.165247458264157, `596` = 1.67817302478363, `597` = 1.02740874816144, `598` = 0.407098533975226, `599` = 0.0212323212915641, `600` = 1.05709190123365, `601` = 0.721513274718439, `602` = 0.71360654872932, `603` = -0.702932488448542, `604` = -2.71950727348554, `605` = -0.589089845429238, `606` = 1.0773579551258, `607` = -0.173410813853688, `608` = -0.663243953069262, `609` = -1.97911747657479, `610` = -0.474745855259661, `611` = -0.814679133694167, `612` = -0.653757145370431, `613` = 0.0722862425134145, `614` = -0.224191614571255, `615` = 1.26727670748956, `616` = -1.57412936537123, `617` = -1.51938372179535, `618` = -1.01159427196705, `619` = 0.127049137158835, `620` = 2.25803738472732, `621` = 1.45125433397264, `622` = -0.41145899206481, `623` = -0.479687499365016, `624` = 1.31638641894359, `625` = 0.391330002961166, `626` = -0.389456294379096, `627` = 0.0585043435648092, `628` = 1.09446808322787, `629` = 0.0146191695005953, `630` = 0.126506704022758, `631` = 0.760425067297108, `632` = -0.516005945923311, `633` = -1.98122694670427, `634` = 0.011026550928697, `635` = 1.22053538149303, `636` = -0.250159969858279, `637` = 0.992895735013286, `638` = -0.561635743470546, `639` = -0.741059041672562, `640` = 0.228842364481597, `641` = -0.484357418131607, `642` = 0.167843895096638, `643` = 0.961398356412197, `644` = -0.439590532664392, `645` = -0.120176486308383, `646` = 0.952901925716894, `647` = 1.54027188688194, `648` = -0.200071606038271, `649` = -0.370593024292862, `650` = -0.489866105018164, `651` = 0.99807649275207, `652` = -0.666729663960561, `653` = -0.719481828892707, `654` = -0.287111429652809, `655` = -1.40296029636829, `656` = -0.307156948909019, `657` = -0.432180139816106, `658` = -0.0655155763153287, `659` = 0.783149637579721, `660` = 1.77511674298001, `661` = 0.858748165133872, `662` = -1.15741607406915, `663` = 1.47852495973671, `664` = 0.77739201019174, `665` = 0.191592881379408, `666` = 1.0005740448232, `667` = 0.51192647401808, `668` = -0.122685536995748, `669` = -0.575662329971165, `670` = 0.868342008354016, `671` = -2.18288020451937, `672` = -0.377447729738174, `673` = -1.32851313123068, `674` = -2.04917816509898, `675` = 0.252456896271665, `676` = -0.00455759699316366, `677` = -1.80988772612292, `678` = -0.276704117303584, `679` = 0.525186032973322, `680` = 0.651829393276619, `681` = 0.271425733169605, `682` = 0.710379930452424, `683` = 0.124270638581215, `684` = 0.457124159009988, `685` = -0.0831111801632644, `686` = -0.918521479885603, `687` = 0.255674046162417, `688` = 0.893358978410407, `689` = 2.40262062264375, `690` = -0.480158297042548, `691` = 0.0370645329551433, `692` = -2.13030267718804, `693` = -0.980839303313051, `694` = 1.39772326518982, `695` = -0.17132646184608, `696` = 0.460408340786116, `697` = 0.478251291173555, `698` = -0.757248447085629, `699` = -0.206535309703804, `700` = 0.349975367908024, `701` = -0.247233949170307, `702` = -0.0162895051132212, `703` = -0.60099445259856, `704` = -1.37556588385377, `705` = 0.645622435957847, `706` = 1.4013001557138, `707` = 0.202694307230844, `708` = 0.0956946271562169, `709` = -0.241541600821264, `710` = 1.41187869168221, `711` = 1.16354084643934, `712` = 1.41065660623005, `713` = 0.773256870269722, `714` = 0.183455204067203, `715` = 0.480042465027015, `716` = 0.294571740526009, `717` = -1.20260918153325, `718` = 2.23428656648947, `719` = -1.1515462705905, `720` = 0.616198841192538, `721` = -1.41866870384524, `722` = -0.951966350087608, `723` = -0.352485148907089, `724` = -1.42086086122911, `725` = 0.0582291636091519, `726` = -1.03902533879805, `727` = 0.0996535606923858, `728` = 1.84806459684644, `729` = 0.769984914249602, `730` = -1.42845531193888, `731` = 0.370737032050522, `732` = 0.0654514348826629, `733` = 1.77481413849243, `734` = 0.590916559430136, `735` = -0.0976196494326984, `736` = -1.15398676759493, `737` = 0.048500857472991, `738` = 1.43728575012931, `739` = -0.969080437830227, `740` = -0.71736093120723, `741` = 1.03777139727611, `742` = 0.958306045718272, `743` = -0.274420680706018, `744` = -0.300947151495689, `745` = 0.0421269080315298, `746` = 1.02885153552682, `747` = 0.0254833900179468, `748` = 0.243121699570229, `749` = 1.69002191128667, `750` = 0.836142919340155, `751` = 1.28824988628336, `752` = 1.80408876812388, `753` = -0.155972070968765, `754` = -0.0972269255301354, `755` = 0.173923472482183, `756` = 0.429328031436448, `757` = -0.434125625965263, `758` = 0.199289404917013, `759` = -0.931578567641512, `760` = 0.385669117507831, `761` = -0.834233345701464, `762` = -0.225288119873308, `763` = 1.2326248028519, `764` = -0.281764122908527, `765` = -0.568085715221524, `766` = 0.860471328956729, `767` = -2.66192804189633, `768` = 0.0601969106197502, `769` = 0.304991890080915, `770` = 2.35592805016226, `771` = -0.617449971933117, `772` = -0.996906991473719, `773` = 2.25279831414472, `774` = 0.332555213772629, `775` = -0.0343182375654322, `776` = 0.553942095735088, `777` = -0.332260043051378, `778` = -1.08865647256746, `779` = 0.809667694768049, `780` = 0.0329839118148833, `781` = -0.0935493157522529, `782` = -1.18852966422395, `783` = -0.998380780854964, `784` = 0.597827690052846, `785` = -0.939921171439336, `786` = 0.571054144382359, `787` = 1.03357365681507, `788` = 1.00228797020952, `789` = -1.31781480506039, `790` = 0.10914512607753, `791` = 0.137302528006935, `792` = 0.996301382808932, `793` = 0.484548535905109, `794` = -1.2229509318636, `795` = -0.31591843989084, `796` = 1.10557071566996, `797` = 1.00632025507384, `798` = 1.82147163570023, `799` = -1.15978776889398, `800` = -0.754735507390657), effects = c(Intercept = -73.40333659132, age = 13.6382906841201, `age'` = -2.107611276151, `age''` = -0.034533686035316, `treat=placebo` = -2.24761333894835, `sex=male` = 2.65400508021108, `age * treat=placebo` = -0.243522200233562, `age' * treat=placebo` = 2.26243430584071, `age'' * treat=placebo` = 1.0721171414083, `age * sex=male` = 1.44104881889796, `age' * sex=male` = 3.84672118267309, `age'' * sex=male` = 0.428113012081798, `treat=placebo * sex=male` = 3.64434918334448, `age * treat=placebo * sex=male` = 1.82702857346944, `age' * treat=placebo * sex=male` = -2.0416754656213, `age'' * treat=placebo * sex=male` = -0.865456381743029, -0.572850974887237, -1.17018600460594, -0.0963618583398188, 1.40955786337855, 0.0459542010786245, 0.054162644913335, -0.716313781853562, -0.662075456970051, -0.287362257763061, -1.62608406617552, 1.28980384042999, -0.0456820693279919, -1.94036918237309, -0.135916515161014, -0.23955569337864, -1.44408160083464, 1.96640645780827, -1.11087569668948, -1.23195598718316, 0.46338388259601, 0.352396975809895, -0.35304969650697, 0.116559024379499, -0.98470620043081, 1.41858956516318, 0.721265766857826, -1.1339386640339, 0.655480194364529, 0.847366265130963, -0.630687887144773, 0.657047719449646, -1.14664480797666, 1.7638336644967, 0.626296229567147, -0.195506654238485, -0.646252657427098, -0.139697843963573, -0.590290197636792, 0.0778434741039944, 0.669110607661971, -0.427663691616754, -0.899358002588566, -1.76800081230197, 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-1.24142493103183, 0.605581162539639, -1.10422685757841, 0.451562029691737, 0.870267171739296, 1.05625793747355, -1.29748102966093, 0.0118069893978282, 0.0851986068188737, 0.987876749158515, 0.482549683212166, -1.09711426174666, -0.23910684896716, 1.03394446587643, 1.18019617564374, 1.79694306130437, -1.72790554432164, -0.776398954786844), rank = 16L,     fitted.values = c(`1` = 1.8273464762968, `2` = 2.6542796288188,     `3` = 2.91235879550687, `4` = 2.62632478687051, `5` = 2.37478067233776,     `6` = 2.57126669833247, `7` = 2.29342830409831, `8` = 2.91272324756385,     `9` = 2.7720149889747, `10` = 2.61802501930452, `11` = 2.83995582973133,     `12` = 3.15822090879926, `13` = 2.7318330139736, `14` = 0.923092063185215,     `15` = 2.35638427355456, `16` = 3.21291450377986, `17` = 2.85930487738867,     `18` = 1.85471780857574, `19` = 2.59507849617468, `20` = 2.77516156003148,     `21` = 2.37468336722965, `22` = 2.94734075955842, `23` = 2.71890305200674,     `24` = 2.56690580859943, `25` = 2.62312595210793, `26` = 2.69985921118831,     `27` = 2.46142105713551, `28` = 4.81182749551602, `29` = 1.78100545234006,     `30` = 2.51087836642562, `31` = 2.18383381057564, `32` = 3.12042045378319,     `33` = 2.962998524365, `34` = 2.17134047276968, `35` = 2.49370220032693,     `36` = 2.95708295768924, `37` = 4.12990022922827, `38` = 2.68438147115392,     `39` = 2.20205567454462, `40` = 1.89621933065192, `41` = 3.17300922223564,     `42` = 1.36495515601018, `43` = 4.9162768756297, `44` = 2.34843367978997,     `45` = 2.2828688390031, `46` = 2.47656065356765, `47` = 3.35155981290649,     `48` = 2.68466198933939, `49` = 1.72312215469336, `50` = 2.5545423995087,     `51` = 2.75451955418949, `52` = 2.82193431350933, `53` = 2.40214416391366,     `54` = 0.959203672924118, `55` = 2.43423806672798, `56` = 2.38707792981996,     `57` = 2.37029134741965, `58` = 2.24561426606161, `59` = 2.30349409111093,     `60` = 2.43894245579633, `61` = 2.82061452685481, `62` = 3.40279330285509,     `63` = 2.02110598950698, `64` = 2.43980467959036, `65` = 2.55818586752441,     `66` = 3.81749524286754, `67` = 2.55797249452663, `68` = 1.86026293864306,     `69` = 2.64852423658387, `70` = 2.39078281119623, `71` = 4.20728393693173,     `72` = 2.73321470694733, `73` = 2.13299125795756, `74` = 2.40078521835743,     `75` = 2.38732388647639, `76` = 2.48663441342883, `77` = 2.48319236767406,     `78` = 3.33474920590903, `79` = 2.72652344572814, `80` = 2.502890404923,     `81` = 2.38653230290044, `82` = 2.81510053286542, `83` = 2.48414658771294,     `84` = 2.62268592379984, `85` = 3.0651368477459, `86` = 3.15791582696985,     `87` = 2.24559620887642, `88` = 3.13179459683268, `89` = 1.97357557764259,     `90` = 2.77282308095323, `91` = 2.74016188199839, `92` = 2.45176950529484,     `93` = 3.32531928953431, `94` = 2.19751752606572, `95` = 2.72674714579747,     `96` = 2.42192340543888, `97` = 1.93076371222272, `98` = 3.62929473538996,     `99` = 1.35369434987869, `100` = 2.2547370962648, `101` = 1.94409001325824,     `102` = 2.62880112621963, `103` = 2.77137140917496, `104` = 1.95738338715501,     `105` = 2.72049174848199, `106` = 2.40243453220378, `107` = 3.09735812074682,     `108` = 2.75153859240597, `109` = 2.7634794003779, `110` = 2.05813014540498,     `111` = 2.65985862884668, `112` = 2.46522299246837, `113` = 1.5703781919029,     `114` = 2.69035917134868, `115` = 4.20861430662284, `116` = 2.37125443702692,     `117` = 2.36705613621479, `118` = 2.85308469084743, `119` = 2.5415194010717,     `120` = 3.15710460382206, `121` = 2.77865444148754, `122` = 3.2954859943684,     `123` = 2.70726046586218, `124` = 2.42473855283583, `125` = 2.75546009888392,     `126` = 1.93535012472394, `127` = 2.21956899382337, `128` = 2.48911632772296,     `129` = 2.93859012435979, `130` = 2.5501671026405, `131` = 2.86395308616895,     `132` = 2.9325665637652, `133` = 2.49741866101599, `134` = 1.15477002080841,     `135` = 2.85906509967744, `136` = 3.21480202919142, `137` = 2.64844922449584,     `138` = 1.81624171593204, `139` = 2.50256109585425, `140` = 2.06026174870399,     `141` = 2.41347967088569, `142` = 2.82647702488726, `143` = 3.28776560599656,     `144` = 2.74957705273186, `145` = 2.06055571226601, `146` = 3.23783901748259,     `147` = 3.0579009438373, `148` = 3.23597166652999, `149` = 2.21636165136686,     `150` = 2.77037519109151, `151` = 3.14335945231959, `152` = 2.39156945942855,     `153` = 2.78704915422625, `154` = 2.63941496646989, `155` = 2.58610032037074,     `156` = 2.70144690395644, `157` = 2.90426129456847, `158` = 2.88420138031662,     `159` = 2.39479076403391, `160` = 2.80509075142565, `161` = 2.37161390962301,     `162` = 2.41992065646662, `163` = 2.9052094221091, `164` = 3.22550263914549,     `165` = 1.73315464210068, `166` = 2.43142907624064, `167` = 3.87849162526757,     `168` = 1.08194647347416, `169` = 2.84365960719609, `170` = 2.31147636681322,     `171` = 2.76523847380424, `172` = 2.88117058586849, `173` = 2.04732981907891,     `174` = 2.07915665869094, `175` = 3.08110988123108, `176` = 2.04592349294163,     `177` = 2.56700092604082, `178` = 2.77907881429002, `179` = 3.17846678411757,     `180` = 2.65038681640476, `181` = 2.92913414157109, `182` = 2.63780063630832,     `183` = 2.45550173098484, `184` = 2.78684913414774, `185` = 2.60955074916775,     `186` = 2.67430224080449, `187` = 2.3114710982275, `188` = 2.41392007655519,     `189` = 2.85514775159917, `190` = 2.82657039075926, `191` = 2.27203654778748,     `192` = 2.37030879867869, `193` = 2.78189657176958, `194` = 3.01888613570589,     `195` = 2.66860452934713, `196` = 2.5229466489951, `197` = 1.96437460612657,     `198` = 2.29586715480886, `199` = 2.53040196702745, `200` = 2.17979970489295,     `201` = 2.99968367627667, `202` = 2.99303164445703, `203` = 2.09396489715103,     `204` = 2.63747526906564, `205` = 2.63430036234606, `206` = 1.62346827950003,     `207` = 2.86309558489206, `208` = 1.26999728769122, `209` = 1.72020445809491,     `210` = 2.91311906510036, `211` = 2.43319556057215, `212` = 2.39109250097856,     `213` = 1.6492458519465, `214` = 1.99197336957605, `215` = 2.55334196204763,     `216` = 2.41675268048625, `217` = 2.4118017030696, `218` = 1.82904370247393,     `219` = 1.96972936169113, `220` = 4.48347814044753, `221` = 2.43357782876622,     `222` = 2.88429652654287, `223` = 3.21160807310651, `224` = 2.85022603796191,     `225` = 2.52882699909125, `226` = 2.0957307798493, `227` = 1.87895581468756,     `228` = 3.18065900342439, `229` = 2.47307935938645, `230` = 2.78536931497109,     `231` = 2.19076727042225, `232` = 2.41128760676261, `233` = 2.37131981545313,     `234` = 2.55303760371157, `235` = 2.9199693414722, `236` = 2.60397022793523,     `237` = 2.35726095482352, `238` = 2.87899977284871, `239` = 3.13468726875723,     `240` = 2.58696063484866, `241` = 2.93480037321797, `242` = 2.52196476517132,     `243` = 2.23386570374798, `244` = 1.93400574589039, `245` = 4.36159183616138,     `246` = 3.30181888171832, `247` = 2.87275271626973, `248` = 2.68680493967785,     `249` = 2.9472147026804, `250` = 2.67701679026062, `251` = 2.43874412812383,     `252` = 2.69832522750769, `253` = 2.39815127697227, `254` = 3.27416880961077,     `255` = 2.89420394072003, `256` = 2.46206595690653, `257` = 3.02161363337767,     `258` = 2.37253590878611, `259` = 3.14803716395551, `260` = 2.30477591805902,     `261` = 1.20593814723825, `262` = 3.06200642364828, `263` = 2.99889777179038,     `264` = 2.14282555354455, `265` = 2.01335804244271, `266` = 1.32272589615639,     `267` = 2.45487059993715, `268` = 1.51492463330488, `269` = 2.31193380003934,     `270` = 2.69797296272068, `271` = 3.27746164011552, `272` = 2.37320371671454,     `273` = 2.44765266363073, `274` = 2.76426830101752, `275` = 3.14991474578698,     `276` = 1.91281943159906, `277` = 1.47871083226282, `278` = 2.66139783025367,     `279` = 3.0068312744844, `280` = 2.40803144249423, `281` = 3.19967771868625,     `282` = 2.38442996368075, `283` = 2.74742751208274, `284` = 2.74151591243007,     `285` = 2.53430303102901, `286` = 2.13304771295534, `287` = 3.03502047926305,     `288` = 2.40927804101479, `289` = 2.84449715484632, `290` = 2.69872269248432,     `291` = 4.2167466822975, `292` = 2.86134949044519, `293` = 2.3240990316239,     `294` = 2.58529458327362, `295` = 2.589177826791, `296` = 1.65132282111858,     `297` = 4.12860304687622, `298` = 2.9788838201833, `299` = 2.03941888516452,     `300` = 2.74426480590544, `301` = 2.70375821808304, `302` = 2.42445684795484,     `303` = 3.91189357427476, `304` = 2.46328928597437, `305` = 2.71213347425702,     `306` = 2.75078140564015, `307` = 2.39519608769782, `308` = 1.97652601737173,     `309` = 2.49237836450657, `310` = 3.02437447193905, `311` = 2.63718302354101,     `312` = 2.85937900798305, `313` = 2.54616629469414, `314` = 2.7903511279751,     `315` = 1.61496522808629, `316` = 2.84844468900093, `317` = 2.37133176406135,     `318` = 2.2342212333381, `319` = 2.39493857884649, `320` = 1.88745641232398,     `321` = 2.39649029076404, `322` = 2.25072436441753, `323` = 2.36943155133288,     `324` = 2.42743673231805, `325` = 2.97791930992207, `326` = 2.09234168848051,     `327` = 2.36240634177489, `328` = 1.1105791288804, `329` = 2.37013324391512,     `330` = 2.26471337954389, `331` = 3.05444517174529, `332` = 2.38980742161709,     `333` = 2.37786232477323, `334` = 1.78990970602347, `335` = 2.70944370588652,     `336` = 3.5683141888971, `337` = 2.44134246962534, `338` = 2.25972174620225,     `339` = 3.00918859646008, `340` = 2.18586223684944, `341` = 2.74330408539129,     `342` = 2.86867416819939, `343` = 2.06826131293291, `344` = 3.63151763911666,     `345` = 2.85886713213127, `346` = 2.21985116812454, `347` = 2.3815434508579,     `348` = 2.41350923720854, `349` = 2.89843556037318, `350` = 2.23898268719741,     `351` = 1.29584077798455, `352` = 2.51159663534582, `353` = 2.85257238541717,     `354` = 1.77903202336168, `355` = 2.55028022270778, `356` = 2.44782824590644,     `357` = 2.46271608796213, `358` = 2.51685373998414, `359` = 2.41583566834669,     `360` = 2.3728907565472, `361` = 2.369454773508, `362` = 3.29250303236263,     `363` = 2.66285306254625, `364` = 2.49029698546202, `365` = 1.05306070502084,     `366` = 1.86455368138798, `367` = 2.88031132181863, `368` = 2.30036007798452,     `369` = 2.11837578996616, `370` = 2.40083223927156, `371` = 2.29153752579909,     `372` = 2.44953094562367, `373` = 2.62721713144288, `374` = 3.9441196218975,     `375` = 2.9557674025679, `376` = 3.66113529407979, `377` = 2.32038023868864,     `378` = 2.87211440331623, `379` = 2.39293831188164, `380` = 2.51344798573844,     `381` = 4.63994090353258, `382` = 2.42205148785717, `383` = 2.33462597983624,     `384` = 2.23050814284012, `385` = 2.88331664462298, `386` = 4.55690943309283,     `387` = 2.58261047793064, `388` = 2.54193081869031, `389` = 4.52295683194619,     `390` = 2.14060027084606, `391` = 2.99869748680244, `392` = 2.26250701192594,     `393` = 2.01249031809818, `394` = 2.97085385284773, `395` = 2.64468402413129,     `396` = 2.33395576477012, `397` = 2.63502066231726, `398` = 2.24915693049968,     `399` = 2.58574738517705, `400` = 2.3716272899945, `401` = 1.69024305202187,     `402` = 3.19926868492288, `403` = 1.77606477443688, `404` = 1.64318193529478,     `405` = 2.83237040517646, `406` = 2.88901243357697, `407` = 2.40363001910485,     `408` = 2.56124257441973, `409` = 3.15661085878286, `410` = 3.01754450476663,     `411` = 1.66908846281502, `412` = 3.04638461915898, `413` = 2.4902496498083,     `414` = 2.32355269847258, `415` = 3.20708965017669, `416` = 2.94047492110776,     `417` = 3.039308895143, `418` = 2.4463121970276, `419` = 2.85372829272876,     `420` = 2.52921117908114, `421` = 2.20126381165548, `422` = 3.67012958834098,     `423` = 2.67998235983964, `424` = 2.48875766442306, `425` = 2.98395742646305,     `426` = 2.86885943428284, `427` = 2.36948098545145, `428` = 2.41007394201668,     `429` = 3.32665939652036, `430` = 2.60667304612803, `431` = 2.3375066389785,     `432` = 3.1650659263681, `433` = 2.87830655726086, `434` = 2.24977346407656,     `435` = 2.41284105666922, `436` = 2.87304300931647, `437` = 2.46339398769293,     `438` = 2.94459097140992, `439` = 2.44625020909451, `440` = 1.88518695389097,     `441` = 2.63410511427251, `442` = 3.31221841531284, `443` = 1.75003520014887,     `444` = 2.03294189166507, `445` = 1.66007689915753, `446` = 2.29814525739876,     `447` = 3.06648380940822, `448` = 2.57970479276396, `449` = 2.36683669531664,     `450` = 2.4670869173179, `451` = 2.44602851362862, `452` = 3.45053339543596,     `453` = 3.28071687825047, `454` = 3.04908277183995, `455` = 2.37763546512344,     `456` = 2.26398601372506, `457` = 2.692748575164, `458` = 2.62690602442052,     `459` = 2.71352920569489, `460` = 2.47429183434904, `461` = 2.4039247810575,     `462` = 1.93412621996201, `463` = 2.38480340226842, `464` = 2.07063510996225,     `465` = 2.40690117392684, `466` = 2.42420000654002, `467` = 2.81475506919669,     `468` = 2.20640905191678, `469` = 2.37632831310256, `470` = 3.53490867501887,     `471` = 3.41002468731006, `472` = 2.75092976639121, `473` = 3.09480651714885,     `474` = 1.90007305083701, `475` = 3.2296327868531, `476` = 3.02534506485739,     `477` = 2.53398829371899, `478` = 2.82791722535193, `479` = 2.55583773830625,     `480` = 2.59402715530063, `481` = 1.6781326990062, `482` = 2.87293840540908,     `483` = 4.03969129126323, `484` = 3.19450816106775, `485` = 2.68239952858409,     `486` = 2.39405541049845, `487` = 2.71100128720999, `488` = 3.00282156550285,     `489` = 3.40302266876215, `490` = 2.88352616157181, `491` = 3.52856064048011,     `492` = 2.62144967861979, `493` = 2.77538989742825, `494` = 3.59999333050544,     `495` = 6.16348972719813, `496` = 2.4891599433751, `497` = 2.37034460924193,     `498` = 2.59980779332976, `499` = 2.30071384805534, `500` = 3.07614227765401,     `501` = 2.73259013984369, `502` = 3.25338285299229, `503` = 2.04661688530079,     `504` = 2.119780819561, `505` = 3.11313609957979, `506` = 2.6988744349033,     `507` = 2.38395417253592, `508` = 2.18648950581266, `509` = 2.42837885798354,     `510` = 2.68221147267643, `511` = 2.25428068095068, `512` = 3.75887229099597,     `513` = 2.65473882617471, `514` = 2.69017623822354, `515` = 2.62515548587877,     `516` = 2.34064129442189, `517` = 2.37656062416954, `518` = 3.11073225841166,     `519` = 1.65824952962201, `520` = 3.05076882119208, `521` = 2.50896463090888,     `522` = 2.77691889731644, `523` = 2.48655516799708, `524` = 2.4847705304522,     `525` = 2.83484261483298, `526` = 2.39148791182408, `527` = 3.08293761712995,     `528` = 2.11610089991802, `529` = 1.5441706288409, `530` = 2.29338823560684,     `531` = 2.2357005930668, `532` = 2.00046452981165, `533` = 2.46775766392926,     `534` = 2.37518687841549, `535` = 2.26924539949773, `536` = 2.69708958988384,     `537` = 1.7759969284976, `538` = 2.87932697846107, `539` = 2.51924964421704,     `540` = 2.41448920694114, `541` = 2.73088979297616, `542` = 2.33592937775142,     `543` = 2.42699526496006, `544` = 3.26971833241992, `545` = 3.80927075812981,     `546` = 3.64604939844582, `547` = 1.96050051349709, `548` = 2.37166914445101,     `549` = 2.60110158015077, `550` = 2.19353040701009, `551` = 1.66039378190514,     `552` = 2.81717036355495, `553` = 2.63349707431426, `554` = 2.69710127484472,     `555` = 1.90798875869868, `556` = 2.31371567893383, `557` = 1.77090083956038,     `558` = 2.37391574467976, `559` = 2.50262689711419, `560` = 2.31168914410283,     `561` = 2.22625805533233, `562` = 1.68021749593895, `563` = 2.51377897825149,     `564` = 2.09808172086947, `565` = 3.09578583530429, `566` = 2.19900715901313,     `567` = 1.80979414421884, `568` = 1.78503396884665, `569` = 2.50774132675897,     `570` = 2.49239230729125, `571` = 2.76211802056802, `572` = 2.4495274017885,     `573` = 3.28892969636115, `574` = 3.15211213487484, `575` = 2.92840573999153,     `576` = 2.7042293900111, `577` = 2.94371744049618, `578` = 2.47580774375233,     `579` = 2.92455079876968, `580` = 2.57811464680771, `581` = 2.09501725666443,     `582` = 2.11233201384487, `583` = 2.17435383560045, `584` = 2.36979159264026,     `585` = 2.67342838683219, `586` = 2.56022536590253, `587` = 2.37232436135092,     `588` = 2.27233056465191, `589` = 3.0468428457455, `590` = 2.55069457032584,     `591` = 2.09756322003269, `592` = 2.40306812582161, `593` = 2.45500210452847,     `594` = 2.86907537820904, `595` = 2.60261574773351, `596` = 2.46107520830906,     `597` = 1.85902245529062, `598` = 2.89225570374173, `599` = 2.65436849639519,     `600` = 2.87087714348427, `601` = 3.46886542980082, `602` = 2.68512701414622,     `603` = 2.35003691394945, `604` = 2.14627270516146, `605` = 2.23384069990504,     `606` = 2.26441295743203, `607` = 2.85303023058625, `608` = 2.52519561937849,     `609` = 1.57105260574496, `610` = 2.37037349981258, `611` = 3.04865674785886,     `612` = 2.66980960831409, `613` = 2.26749788061542, `614` = 2.82468867713131,     `615` = 2.3195107615215, `616` = 2.45284107326388, `617` = 2.56240566991253,     `618` = 3.5032340625682, `619` = 2.99012848419003, `620` = 3.69815882893603,     `621` = 2.90806077391049, `622` = 2.69781322229088, `623` = 3.14076048190506,     `624` = 4.49059794128407, `625` = 3.74525948670074, `626` = 2.36112028298741,     `627` = 2.40385272685886, `628` = 2.6893053745018, `629` = 2.3797231366545,     `630` = 2.71343039320212, `631` = 2.24472670443739, `632` = 2.93449351293732,     `633` = 4.64415079258173, `634` = 2.94929885043176, `635` = 2.8726564625836,     `636` = 2.61383490293316, `637` = 3.26153429983134, `638` = 2.47400494380402,     `639` = 3.01176455064242, `640` = 3.49592172694681, `641` = 2.67957734578401,     `642` = 3.17453140868152, `643` = 2.32665270498733, `644` = 2.7575036297423,     `645` = 2.0689328843544, `646` = 2.46785376746714, `647` = 3.32570305967851,     `648` = 0.905248324266446, `649` = 2.50428948117561, `650` = 2.53912900337754,     `651` = 2.3826549275648, `652` = 2.44542191253417, `653` = 2.62469142433065,     `654` = 2.65637163809148, `655` = 2.66860851254179, `656` = 2.38249985819357,     `657` = 2.66226570688936, `658` = 3.3192449193186, `659` = 2.73111344992993,     `660` = 3.04282974391802, `661` = 2.45256085675311, `662` = 2.67768607034304,     `663` = 2.77783018778015, `664` = 2.1579712498587, `665` = 2.37298409942318,     `666` = 3.77862150624116, `667` = 2.11634477584323, `668` = 2.94397684292152,     `669` = 2.36024450269283, `670` = 1.96870553397572, `671` = 1.70461446504352,     `672` = 2.11940451882738, `673` = 1.7263870453371, `674` = 2.08704111428627,     `675` = 2.95687309973058, `676` = 2.37665447487459, `677` = 3.15422627810539,     `678` = 2.49702523812035, `679` = 1.92644836113277, `680` = 2.34875871370472,     `681` = 2.22844659869117, `682` = 2.28679608898358, `683` = 2.62823063420633,     `684` = 2.45143195137904, `685` = 2.8489110203038, `686` = 2.65175935979436,     `687` = 2.88524094060349, `688` = 2.5952722765178, `689` = 2.37231532291548,     `690` = 2.76339467172705, `691` = 2.8873289565435, `692` = 2.30150257336182,     `693` = 2.49468059867389, `694` = 2.9386886921381, `695` = 3.75746997650522,     `696` = 2.66568016818031, `697` = 2.4930667288634, `698` = 3.13380307686093,     `699` = 2.10019517768552, `700` = 2.38255703596884, `701` = 2.86056652465783,     `702` = 2.25938206522155, `703` = 2.89379813499127, `704` = 2.25180330762531,     `705` = 2.65134453007541, `706` = 2.49261895369649, `707` = 2.92482004635633,     `708` = 2.99960795197273, `709` = 2.39534315168548, `710` = 2.80968394898164,     `711` = 1.5365706856904, `712` = 2.36240206475222, `713` = 1.74480446929666,     `714` = 2.69272631893605, `715` = 2.51260627559957, `716` = 2.46876974298805,     `717` = 2.40833157695587, `718` = 3.3687784443709, `719` = 2.5060766692575,     `720` = 3.76322910561409, `721` = 2.68274467180769, `722` = 2.73776984498368,     `723` = 3.20084163854064, `724` = 2.15532930018422, `725` = 2.37168049406483,     `726` = 2.49101118391487, `727` = 2.64893383948362, `728` = 2.55000347491773,     `729` = 2.23662652396895, `730` = 3.20003639165197, `731` = 2.66800696736024,     `732` = 3.05525636675038, `733` = 1.18148846416636, `734` = 3.54271987460358,     `735` = 2.99515813678729, `736` = 2.39151522397183, `737` = 2.38585928232041,     `738` = 3.08656767068624, `739` = 2.61626780552435, `740` = 2.97115704778034,     `741` = 3.03439656895824, `742` = 2.37931601007593, `743` = 2.33883331819551,     `744` = 1.60348696140688, `745` = 1.11688145045703, `746` = 2.57736600422859,     `747` = 2.66802533594202, `748` = 2.26404981534278, `749` = 3.07219106215321,     `750` = 2.77050828138718, `751` = 2.428794530875, `752` = 2.44110931378247,     `753` = 2.99082624009212, `754` = 2.80966642752265, `755` = 2.89406725105139,     `756` = 2.77030884986535, `757` = 4.15811193019416, `758` = 2.57886699953155,     `759` = 2.2280269081183, `760` = 2.23759767417144, `761` = 2.5058665552149,     `762` = 2.35823648366692, `763` = 2.57415384248165, `764` = 3.10240981596749,     `765` = 2.37066373006279, `766` = 1.26531154683944, `767` = 3.17649132143359,     `768` = 2.75939408955155, `769` = 2.92685172692651, `770` = 2.3324407578609,     `771` = 2.65018850565418, `772` = 1.61809174258647, `773` = 2.71163104961438,     `774` = 2.7686205447316, `775` = 2.07510786293649, `776` = 2.19346015793001,     `777` = 3.05666417694624, `778` = 2.61234105858666, `779` = 2.46128612603711,     `780` = 2.74057681523593, `781` = 1.82127812685098, `782` = 2.95877261683777,     `783` = 1.74839601569804, `784` = 1.88235766204648, `785` = 2.82663471616036,     `786` = 3.00464332237119, `787` = 1.84219985532157, `788` = 3.04630071488416,     `789` = 2.83071631673509, `790` = 2.50017115705951, `791` = 2.37261285446862,     `792` = 1.98067493063167, `793` = 2.47455687271204, `794` = 3.62089358349168,     `795` = 1.73327011655719, `796` = 1.99643069057204, `797` = 4.06628378549785,     `798` = 1.90545718313818, `799` = 1.36597756677296, `800` = 2.60145375327965    ), assign = list(`rcs(age, 4)` = 2:4, treat = 5L, sex = 6L,         `rcs(age, 4):treat` = 7:9, `rcs(age, 4):sex` = 10:12,         `treat:sex` = 13L, `rcs(age, 4):treat:sex` = 14:16),     qr = structure(list(qr = structure(c(-28.2842712474619, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 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0.0138385171219278,     0.0571784236329693, -0.00147933596588392, 0.00375673851431083,     -0.0138385171219278, -0.0512825699211177, 0.00140546909686742,     -0.00463878381986734, 0.0189439273640901, 0.0512825699211177,     0.138187486464013, -0.00140546909686742, 0.00463878381986734,     -0.0189439273640901, -0.00375673851431083, 0.0120057031151827,     -0.0489004666962014, -0.138187486464013, 0.00375673851431082,     -0.0120057031151827, 0.0489004666962014, 0.184115577200964,     -0.00515538101632445, 0.0189439273640901, -0.0817449413547494,     -0.184115577200964, -0.499407405474335, 0.00515538101632445,     -0.0189439273640901, 0.0817449413547493, 0.0138385171219278,     -0.0489004666962014, 0.210101009164533, 0.499407405474335,     -0.0138385171219278, 0.0489004666962014, -0.210101009164533,     0.836425390502696, -0.0212848834556599, 0.0512825699211178,     -0.184115577200965, -1.78217595691818, -2.24452904108481,     0.0457435036357167, -0.114344607106148, 0.41922455143949,     0.0571784236329693, -0.138187486464013, 0.499407405474335,     4.01392907467183, -0.103257489020622, 0.257419561496252,     -0.941267592738115, -0.0212848834556598, 0.000551286595299535,     -0.00140546909686742, 0.00515538101632446, 0.0457435036357167,     0.0571784236329693, -0.00119429035854966, 0.00314912019539668,     -0.0117757979020482, -0.00147933596588392, 0.00375673851431082,     -0.0138385171219278, -0.103257489020622, 0.00270331398813018,     -0.00710766519948597, 0.0265004210700546, 0.0512825699211177,     -0.00140546909686742, 0.00463878381986735, -0.0189439273640902,     -0.114344607106148, -0.138187486464013, 0.00314912019539668,     -0.0106133933039199, 0.043988538139749, 0.00375673851431083,     -0.0120057031151827, 0.0489004666962014, 0.257419561496252,     -0.00710766519948597, 0.0236181254277507, -0.0972117419383224,     -0.184115577200964, 0.00515538101632445, -0.0189439273640901,     0.0817449413547495, 0.419224551439489, 0.499407405474335,     -0.0117757979020482, 0.043988538139749, -0.193194518446538,     -0.0138385171219278, 0.0489004666962014, -0.210101009164533,     -0.941267592738115, 0.0265004210700546, -0.0972117419383224,     0.42226391498444), dim = c(16L, 16L), dimnames = list(c("Intercept",     "age", "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"), c("Intercept", "age",     "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"))), stats = c(n = 800,     `Model L.R.` = 198.733217877431, d.f. = 15, R2 = 0.219965026393617,     g = 0.585082032793052, Sigma = 1.05797963607968), linear.predictors = c(`1` = 1.8273464762968,     `2` = 2.6542796288188, `3` = 2.91235879550687, `4` = 2.62632478687051,     `5` = 2.37478067233776, `6` = 2.57126669833247, `7` = 2.29342830409831,     `8` = 2.91272324756385, `9` = 2.7720149889747, `10` = 2.61802501930452,     `11` = 2.83995582973133, `12` = 3.15822090879926, `13` = 2.7318330139736,     `14` = 0.923092063185215, `15` = 2.35638427355456, `16` = 3.21291450377986,     `17` = 2.85930487738867, `18` = 1.85471780857574, `19` = 2.59507849617468,     `20` = 2.77516156003148, `21` = 2.37468336722965, `22` = 2.94734075955842,     `23` = 2.71890305200674, `24` = 2.56690580859943, `25` = 2.62312595210793,     `26` = 2.69985921118831, `27` = 2.46142105713551, `28` = 4.81182749551602,     `29` = 1.78100545234006, `30` = 2.51087836642562, `31` = 2.18383381057564,     `32` = 3.12042045378319, `33` = 2.962998524365, `34` = 2.17134047276968,     `35` = 2.49370220032693, `36` = 2.95708295768924, `37` = 4.12990022922827,     `38` = 2.68438147115392, `39` = 2.20205567454462, `40` = 1.89621933065192,     `41` = 3.17300922223564, `42` = 1.36495515601018, `43` = 4.9162768756297,     `44` = 2.34843367978997, `45` = 2.2828688390031, `46` = 2.47656065356765,     `47` = 3.35155981290649, `48` = 2.68466198933939, `49` = 1.72312215469336,     `50` = 2.5545423995087, `51` = 2.75451955418949, `52` = 2.82193431350933,     `53` = 2.40214416391366, `54` = 0.959203672924118, `55` = 2.43423806672798,     `56` = 2.38707792981996, `57` = 2.37029134741965, `58` = 2.24561426606161,     `59` = 2.30349409111093, `60` = 2.43894245579633, `61` = 2.82061452685481,     `62` = 3.40279330285509, `63` = 2.02110598950698, `64` = 2.43980467959036,     `65` = 2.55818586752441, `66` = 3.81749524286754, `67` = 2.55797249452663,     `68` = 1.86026293864306, `69` = 2.64852423658387, `70` = 2.39078281119623,     `71` = 4.20728393693173, `72` = 2.73321470694733, `73` = 2.13299125795756,     `74` = 2.40078521835743, `75` = 2.38732388647639, `76` = 2.48663441342883,     `77` = 2.48319236767406, `78` = 3.33474920590903, `79` = 2.72652344572814,     `80` = 2.502890404923, `81` = 2.38653230290044, `82` = 2.81510053286542,     `83` = 2.48414658771294, `84` = 2.62268592379984, `85` = 3.0651368477459,     `86` = 3.15791582696985, `87` = 2.24559620887642, `88` = 3.13179459683268,     `89` = 1.97357557764259, `90` = 2.77282308095323, `91` = 2.74016188199839,     `92` = 2.45176950529484, `93` = 3.32531928953431, `94` = 2.19751752606572,     `95` = 2.72674714579747, `96` = 2.42192340543888, `97` = 1.93076371222272,     `98` = 3.62929473538996, `99` = 1.35369434987869, `100` = 2.2547370962648,     `101` = 1.94409001325824, `102` = 2.62880112621963, `103` = 2.77137140917496,     `104` = 1.95738338715501, `105` = 2.72049174848199, `106` = 2.40243453220378,     `107` = 3.09735812074682, `108` = 2.75153859240597, `109` = 2.7634794003779,     `110` = 2.05813014540498, `111` = 2.65985862884668, `112` = 2.46522299246837,     `113` = 1.5703781919029, `114` = 2.69035917134868, `115` = 4.20861430662284,     `116` = 2.37125443702692, `117` = 2.36705613621479, `118` = 2.85308469084743,     `119` = 2.5415194010717, `120` = 3.15710460382206, `121` = 2.77865444148754,     `122` = 3.2954859943684, `123` = 2.70726046586218, `124` = 2.42473855283583,     `125` = 2.75546009888392, `126` = 1.93535012472394, `127` = 2.21956899382337,     `128` = 2.48911632772296, `129` = 2.93859012435979, `130` = 2.5501671026405,     `131` = 2.86395308616895, `132` = 2.9325665637652, `133` = 2.49741866101599,     `134` = 1.15477002080841, `135` = 2.85906509967744, `136` = 3.21480202919142,     `137` = 2.64844922449584, `138` = 1.81624171593204, `139` = 2.50256109585425,     `140` = 2.06026174870399, `141` = 2.41347967088569, `142` = 2.82647702488726,     `143` = 3.28776560599656, `144` = 2.74957705273186, `145` = 2.06055571226601,     `146` = 3.23783901748259, `147` = 3.0579009438373, `148` = 3.23597166652999,     `149` = 2.21636165136686, `150` = 2.77037519109151, `151` = 3.14335945231959,     `152` = 2.39156945942855, `153` = 2.78704915422625, `154` = 2.63941496646989,     `155` = 2.58610032037074, `156` = 2.70144690395644, `157` = 2.90426129456847,     `158` = 2.88420138031662, `159` = 2.39479076403391, `160` = 2.80509075142565,     `161` = 2.37161390962301, `162` = 2.41992065646662, `163` = 2.9052094221091,     `164` = 3.22550263914549, `165` = 1.73315464210068, `166` = 2.43142907624064,     `167` = 3.87849162526757, `168` = 1.08194647347416, `169` = 2.84365960719609,     `170` = 2.31147636681322, `171` = 2.76523847380424, `172` = 2.88117058586849,     `173` = 2.04732981907891, `174` = 2.07915665869094, `175` = 3.08110988123108,     `176` = 2.04592349294163, `177` = 2.56700092604082, `178` = 2.77907881429002,     `179` = 3.17846678411757, `180` = 2.65038681640476, `181` = 2.92913414157109,     `182` = 2.63780063630832, `183` = 2.45550173098484, `184` = 2.78684913414774,     `185` = 2.60955074916775, `186` = 2.67430224080449, `187` = 2.3114710982275,     `188` = 2.41392007655519, `189` = 2.85514775159917, `190` = 2.82657039075926,     `191` = 2.27203654778748, `192` = 2.37030879867869, `193` = 2.78189657176958,     `194` = 3.01888613570589, `195` = 2.66860452934713, `196` = 2.5229466489951,     `197` = 1.96437460612657, `198` = 2.29586715480886, `199` = 2.53040196702745,     `200` = 2.17979970489295, `201` = 2.99968367627667, `202` = 2.99303164445703,     `203` = 2.09396489715103, `204` = 2.63747526906564, `205` = 2.63430036234606,     `206` = 1.62346827950003, `207` = 2.86309558489206, `208` = 1.26999728769122,     `209` = 1.72020445809491, `210` = 2.91311906510036, `211` = 2.43319556057215,     `212` = 2.39109250097856, `213` = 1.6492458519465, `214` = 1.99197336957605,     `215` = 2.55334196204763, `216` = 2.41675268048625, `217` = 2.4118017030696,     `218` = 1.82904370247393, `219` = 1.96972936169113, `220` = 4.48347814044753,     `221` = 2.43357782876622, `222` = 2.88429652654287, `223` = 3.21160807310651,     `224` = 2.85022603796191, `225` = 2.52882699909125, `226` = 2.0957307798493,     `227` = 1.87895581468756, `228` = 3.18065900342439, `229` = 2.47307935938645,     `230` = 2.78536931497109, `231` = 2.19076727042225, `232` = 2.41128760676261,     `233` = 2.37131981545313, `234` = 2.55303760371157, `235` = 2.9199693414722,     `236` = 2.60397022793523, `237` = 2.35726095482352, `238` = 2.87899977284871,     `239` = 3.13468726875723, `240` = 2.58696063484866, `241` = 2.93480037321797,     `242` = 2.52196476517132, `243` = 2.23386570374798, `244` = 1.93400574589039,     `245` = 4.36159183616138, `246` = 3.30181888171832, `247` = 2.87275271626973,     `248` = 2.68680493967785, `249` = 2.9472147026804, `250` = 2.67701679026062,     `251` = 2.43874412812383, `252` = 2.69832522750769, `253` = 2.39815127697227,     `254` = 3.27416880961077, `255` = 2.89420394072003, `256` = 2.46206595690653,     `257` = 3.02161363337767, `258` = 2.37253590878611, `259` = 3.14803716395551,     `260` = 2.30477591805902, `261` = 1.20593814723825, `262` = 3.06200642364828,     `263` = 2.99889777179038, `264` = 2.14282555354455, `265` = 2.01335804244271,     `266` = 1.32272589615639, `267` = 2.45487059993715, `268` = 1.51492463330488,     `269` = 2.31193380003934, `270` = 2.69797296272068, `271` = 3.27746164011552,     `272` = 2.37320371671454, `273` = 2.44765266363073, `274` = 2.76426830101752,     `275` = 3.14991474578698, `276` = 1.91281943159906, `277` = 1.47871083226282,     `278` = 2.66139783025367, `279` = 3.0068312744844, `280` = 2.40803144249423,     `281` = 3.19967771868625, `282` = 2.38442996368075, `283` = 2.74742751208274,     `284` = 2.74151591243007, `285` = 2.53430303102901, `286` = 2.13304771295534,     `287` = 3.03502047926305, `288` = 2.40927804101479, `289` = 2.84449715484632,     `290` = 2.69872269248432, `291` = 4.2167466822975, `292` = 2.86134949044519,     `293` = 2.3240990316239, `294` = 2.58529458327362, `295` = 2.589177826791,     `296` = 1.65132282111858, `297` = 4.12860304687622, `298` = 2.9788838201833,     `299` = 2.03941888516452, `300` = 2.74426480590544, `301` = 2.70375821808304,     `302` = 2.42445684795484, `303` = 3.91189357427476, `304` = 2.46328928597437,     `305` = 2.71213347425702, `306` = 2.75078140564015, `307` = 2.39519608769782,     `308` = 1.97652601737173, `309` = 2.49237836450657, `310` = 3.02437447193905,     `311` = 2.63718302354101, `312` = 2.85937900798305, `313` = 2.54616629469414,     `314` = 2.7903511279751, `315` = 1.61496522808629, `316` = 2.84844468900093,     `317` = 2.37133176406135, `318` = 2.2342212333381, `319` = 2.39493857884649,     `320` = 1.88745641232398, `321` = 2.39649029076404, `322` = 2.25072436441753,     `323` = 2.36943155133288, `324` = 2.42743673231805, `325` = 2.97791930992207,     `326` = 2.09234168848051, `327` = 2.36240634177489, `328` = 1.1105791288804,     `329` = 2.37013324391512, `330` = 2.26471337954389, `331` = 3.05444517174529,     `332` = 2.38980742161709, `333` = 2.37786232477323, `334` = 1.78990970602347,     `335` = 2.70944370588652, `336` = 3.5683141888971, `337` = 2.44134246962534,     `338` = 2.25972174620225, `339` = 3.00918859646008, `340` = 2.18586223684944,     `341` = 2.74330408539129, `342` = 2.86867416819939, `343` = 2.06826131293291,     `344` = 3.63151763911666, `345` = 2.85886713213127, `346` = 2.21985116812454,     `347` = 2.3815434508579, `348` = 2.41350923720854, `349` = 2.89843556037318,     `350` = 2.23898268719741, `351` = 1.29584077798455, `352` = 2.51159663534582,     `353` = 2.85257238541717, `354` = 1.77903202336168, `355` = 2.55028022270778,     `356` = 2.44782824590644, `357` = 2.46271608796213, `358` = 2.51685373998414,     `359` = 2.41583566834669, `360` = 2.3728907565472, `361` = 2.369454773508,     `362` = 3.29250303236263, `363` = 2.66285306254625, `364` = 2.49029698546202,     `365` = 1.05306070502084, `366` = 1.86455368138798, `367` = 2.88031132181863,     `368` = 2.30036007798452, `369` = 2.11837578996616, `370` = 2.40083223927156,     `371` = 2.29153752579909, `372` = 2.44953094562367, `373` = 2.62721713144288,     `374` = 3.9441196218975, `375` = 2.9557674025679, `376` = 3.66113529407979,     `377` = 2.32038023868864, `378` = 2.87211440331623, `379` = 2.39293831188164,     `380` = 2.51344798573844, `381` = 4.63994090353258, `382` = 2.42205148785717,     `383` = 2.33462597983624, `384` = 2.23050814284012, `385` = 2.88331664462298,     `386` = 4.55690943309283, `387` = 2.58261047793064, `388` = 2.54193081869031,     `389` = 4.52295683194619, `390` = 2.14060027084606, `391` = 2.99869748680244,     `392` = 2.26250701192594, `393` = 2.01249031809818, `394` = 2.97085385284773,     `395` = 2.64468402413129, `396` = 2.33395576477012, `397` = 2.63502066231726,     `398` = 2.24915693049968, `399` = 2.58574738517705, `400` = 2.3716272899945,     `401` = 1.69024305202187, `402` = 3.19926868492288, `403` = 1.77606477443688,     `404` = 1.64318193529478, `405` = 2.83237040517646, `406` = 2.88901243357697,     `407` = 2.40363001910485, `408` = 2.56124257441973, `409` = 3.15661085878286,     `410` = 3.01754450476663, `411` = 1.66908846281502, `412` = 3.04638461915898,     `413` = 2.4902496498083, `414` = 2.32355269847258, `415` = 3.20708965017669,     `416` = 2.94047492110776, `417` = 3.039308895143, `418` = 2.4463121970276,     `419` = 2.85372829272876, `420` = 2.52921117908114, `421` = 2.20126381165548,     `422` = 3.67012958834098, `423` = 2.67998235983964, `424` = 2.48875766442306,     `425` = 2.98395742646305, `426` = 2.86885943428284, `427` = 2.36948098545145,     `428` = 2.41007394201668, `429` = 3.32665939652036, `430` = 2.60667304612803,     `431` = 2.3375066389785, `432` = 3.1650659263681, `433` = 2.87830655726086,     `434` = 2.24977346407656, `435` = 2.41284105666922, `436` = 2.87304300931647,     `437` = 2.46339398769293, `438` = 2.94459097140992, `439` = 2.44625020909451,     `440` = 1.88518695389097, `441` = 2.63410511427251, `442` = 3.31221841531284,     `443` = 1.75003520014887, `444` = 2.03294189166507, `445` = 1.66007689915753,     `446` = 2.29814525739876, `447` = 3.06648380940822, `448` = 2.57970479276396,     `449` = 2.36683669531664, `450` = 2.4670869173179, `451` = 2.44602851362862,     `452` = 3.45053339543596, `453` = 3.28071687825047, `454` = 3.04908277183995,     `455` = 2.37763546512344, `456` = 2.26398601372506, `457` = 2.692748575164,     `458` = 2.62690602442052, `459` = 2.71352920569489, `460` = 2.47429183434904,     `461` = 2.4039247810575, `462` = 1.93412621996201, `463` = 2.38480340226842,     `464` = 2.07063510996225, `465` = 2.40690117392684, `466` = 2.42420000654002,     `467` = 2.81475506919669, `468` = 2.20640905191678, `469` = 2.37632831310256,     `470` = 3.53490867501887, `471` = 3.41002468731006, `472` = 2.75092976639121,     `473` = 3.09480651714885, `474` = 1.90007305083701, `475` = 3.2296327868531,     `476` = 3.02534506485739, `477` = 2.53398829371899, `478` = 2.82791722535193,     `479` = 2.55583773830625, `480` = 2.59402715530063, `481` = 1.6781326990062,     `482` = 2.87293840540908, `483` = 4.03969129126323, `484` = 3.19450816106775,     `485` = 2.68239952858409, `486` = 2.39405541049845, `487` = 2.71100128720999,     `488` = 3.00282156550285, `489` = 3.40302266876215, `490` = 2.88352616157181,     `491` = 3.52856064048011, `492` = 2.62144967861979, `493` = 2.77538989742825,     `494` = 3.59999333050544, `495` = 6.16348972719813, `496` = 2.4891599433751,     `497` = 2.37034460924193, `498` = 2.59980779332976, `499` = 2.30071384805534,     `500` = 3.07614227765401, `501` = 2.73259013984369, `502` = 3.25338285299229,     `503` = 2.04661688530079, `504` = 2.119780819561, `505` = 3.11313609957979,     `506` = 2.6988744349033, `507` = 2.38395417253592, `508` = 2.18648950581266,     `509` = 2.42837885798354, `510` = 2.68221147267643, `511` = 2.25428068095068,     `512` = 3.75887229099597, `513` = 2.65473882617471, `514` = 2.69017623822354,     `515` = 2.62515548587877, `516` = 2.34064129442189, `517` = 2.37656062416954,     `518` = 3.11073225841166, `519` = 1.65824952962201, `520` = 3.05076882119208,     `521` = 2.50896463090888, `522` = 2.77691889731644, `523` = 2.48655516799708,     `524` = 2.4847705304522, `525` = 2.83484261483298, `526` = 2.39148791182408,     `527` = 3.08293761712995, `528` = 2.11610089991802, `529` = 1.5441706288409,     `530` = 2.29338823560684, `531` = 2.2357005930668, `532` = 2.00046452981165,     `533` = 2.46775766392926, `534` = 2.37518687841549, `535` = 2.26924539949773,     `536` = 2.69708958988384, `537` = 1.7759969284976, `538` = 2.87932697846107,     `539` = 2.51924964421704, `540` = 2.41448920694114, `541` = 2.73088979297616,     `542` = 2.33592937775142, `543` = 2.42699526496006, `544` = 3.26971833241992,     `545` = 3.80927075812981, `546` = 3.64604939844582, `547` = 1.96050051349709,     `548` = 2.37166914445101, `549` = 2.60110158015077, `550` = 2.19353040701009,     `551` = 1.66039378190514, `552` = 2.81717036355495, `553` = 2.63349707431426,     `554` = 2.69710127484472, `555` = 1.90798875869868, `556` = 2.31371567893383,     `557` = 1.77090083956038, `558` = 2.37391574467976, `559` = 2.50262689711419,     `560` = 2.31168914410283, `561` = 2.22625805533233, `562` = 1.68021749593895,     `563` = 2.51377897825149, `564` = 2.09808172086947, `565` = 3.09578583530429,     `566` = 2.19900715901313, `567` = 1.80979414421884, `568` = 1.78503396884665,     `569` = 2.50774132675897, `570` = 2.49239230729125, `571` = 2.76211802056802,     `572` = 2.4495274017885, `573` = 3.28892969636115, `574` = 3.15211213487484,     `575` = 2.92840573999153, `576` = 2.7042293900111, `577` = 2.94371744049618,     `578` = 2.47580774375233, `579` = 2.92455079876968, `580` = 2.57811464680771,     `581` = 2.09501725666443, `582` = 2.11233201384487, `583` = 2.17435383560045,     `584` = 2.36979159264026, `585` = 2.67342838683219, `586` = 2.56022536590253,     `587` = 2.37232436135092, `588` = 2.27233056465191, `589` = 3.0468428457455,     `590` = 2.55069457032584, `591` = 2.09756322003269, `592` = 2.40306812582161,     `593` = 2.45500210452847, `594` = 2.86907537820904, `595` = 2.60261574773351,     `596` = 2.46107520830906, `597` = 1.85902245529062, `598` = 2.89225570374173,     `599` = 2.65436849639519, `600` = 2.87087714348427, `601` = 3.46886542980082,     `602` = 2.68512701414622, `603` = 2.35003691394945, `604` = 2.14627270516146,     `605` = 2.23384069990504, `606` = 2.26441295743203, `607` = 2.85303023058625,     `608` = 2.52519561937849, `609` = 1.57105260574496, `610` = 2.37037349981258,     `611` = 3.04865674785886, `612` = 2.66980960831409, `613` = 2.26749788061542,     `614` = 2.82468867713131, `615` = 2.3195107615215, `616` = 2.45284107326388,     `617` = 2.56240566991253, `618` = 3.5032340625682, `619` = 2.99012848419003,     `620` = 3.69815882893603, `621` = 2.90806077391049, `622` = 2.69781322229088,     `623` = 3.14076048190506, `624` = 4.49059794128407, `625` = 3.74525948670074,     `626` = 2.36112028298741, `627` = 2.40385272685886, `628` = 2.6893053745018,     `629` = 2.3797231366545, `630` = 2.71343039320212, `631` = 2.24472670443739,     `632` = 2.93449351293732, `633` = 4.64415079258173, `634` = 2.94929885043176,     `635` = 2.8726564625836, `636` = 2.61383490293316, `637` = 3.26153429983134,     `638` = 2.47400494380402, `639` = 3.01176455064242, `640` = 3.49592172694681,     `641` = 2.67957734578401, `642` = 3.17453140868152, `643` = 2.32665270498733,     `644` = 2.7575036297423, `645` = 2.0689328843544, `646` = 2.46785376746714,     `647` = 3.32570305967851, `648` = 0.905248324266446, `649` = 2.50428948117561,     `650` = 2.53912900337754, `651` = 2.3826549275648, `652` = 2.44542191253417,     `653` = 2.62469142433065, `654` = 2.65637163809148, `655` = 2.66860851254179,     `656` = 2.38249985819357, `657` = 2.66226570688936, `658` = 3.3192449193186,     `659` = 2.73111344992993, `660` = 3.04282974391802, `661` = 2.45256085675311,     `662` = 2.67768607034304, `663` = 2.77783018778015, `664` = 2.1579712498587,     `665` = 2.37298409942318, `666` = 3.77862150624116, `667` = 2.11634477584323,     `668` = 2.94397684292152, `669` = 2.36024450269283, `670` = 1.96870553397572,     `671` = 1.70461446504352, `672` = 2.11940451882738, `673` = 1.7263870453371,     `674` = 2.08704111428627, `675` = 2.95687309973058, `676` = 2.37665447487459,     `677` = 3.15422627810539, `678` = 2.49702523812035, `679` = 1.92644836113277,     `680` = 2.34875871370472, `681` = 2.22844659869117, `682` = 2.28679608898358,     `683` = 2.62823063420633, `684` = 2.45143195137904, `685` = 2.8489110203038,     `686` = 2.65175935979436, `687` = 2.88524094060349, `688` = 2.5952722765178,     `689` = 2.37231532291548, `690` = 2.76339467172705, `691` = 2.8873289565435,     `692` = 2.30150257336182, `693` = 2.49468059867389, `694` = 2.9386886921381,     `695` = 3.75746997650522, `696` = 2.66568016818031, `697` = 2.4930667288634,     `698` = 3.13380307686093, `699` = 2.10019517768552, `700` = 2.38255703596884,     `701` = 2.86056652465783, `702` = 2.25938206522155, `703` = 2.89379813499127,     `704` = 2.25180330762531, `705` = 2.65134453007541, `706` = 2.49261895369649,     `707` = 2.92482004635633, `708` = 2.99960795197273, `709` = 2.39534315168548,     `710` = 2.80968394898164, `711` = 1.5365706856904, `712` = 2.36240206475222,     `713` = 1.74480446929666, `714` = 2.69272631893605, `715` = 2.51260627559957,     `716` = 2.46876974298805, `717` = 2.40833157695587, `718` = 3.3687784443709,     `719` = 2.5060766692575, `720` = 3.76322910561409, `721` = 2.68274467180769,     `722` = 2.73776984498368, `723` = 3.20084163854064, `724` = 2.15532930018422,     `725` = 2.37168049406483, `726` = 2.49101118391487, `727` = 2.64893383948362,     `728` = 2.55000347491773, `729` = 2.23662652396895, `730` = 3.20003639165197,     `731` = 2.66800696736024, `732` = 3.05525636675038, `733` = 1.18148846416636,     `734` = 3.54271987460358, `735` = 2.99515813678729, `736` = 2.39151522397183,     `737` = 2.38585928232041, `738` = 3.08656767068624, `739` = 2.61626780552435,     `740` = 2.97115704778034, `741` = 3.03439656895824, `742` = 2.37931601007593,     `743` = 2.33883331819551, `744` = 1.60348696140688, `745` = 1.11688145045703,     `746` = 2.57736600422859, `747` = 2.66802533594202, `748` = 2.26404981534278,     `749` = 3.07219106215321, `750` = 2.77050828138718, `751` = 2.428794530875,     `752` = 2.44110931378247, `753` = 2.99082624009212, `754` = 2.80966642752265,     `755` = 2.89406725105139, `756` = 2.77030884986535, `757` = 4.15811193019416,     `758` = 2.57886699953155, `759` = 2.2280269081183, `760` = 2.23759767417144,     `761` = 2.5058665552149, `762` = 2.35823648366692, `763` = 2.57415384248165,     `764` = 3.10240981596749, `765` = 2.37066373006279, `766` = 1.26531154683944,     `767` = 3.17649132143359, `768` = 2.75939408955155, `769` = 2.92685172692651,     `770` = 2.3324407578609, `771` = 2.65018850565418, `772` = 1.61809174258647,     `773` = 2.71163104961438, `774` = 2.7686205447316, `775` = 2.07510786293649,     `776` = 2.19346015793001, `777` = 3.05666417694624, `778` = 2.61234105858666,     `779` = 2.46128612603711, `780` = 2.74057681523593, `781` = 1.82127812685098,     `782` = 2.95877261683777, `783` = 1.74839601569804, `784` = 1.88235766204648,     `785` = 2.82663471616036, `786` = 3.00464332237119, `787` = 1.84219985532157,     `788` = 3.04630071488416, `789` = 2.83071631673509, `790` = 2.50017115705951,     `791` = 2.37261285446862, `792` = 1.98067493063167, `793` = 2.47455687271204,     `794` = 3.62089358349168, `795` = 1.73327011655719, `796` = 1.99643069057204,     `797` = 4.06628378549785, `798` = 1.90545718313818, `799` = 1.36597756677296,     `800` = 2.60145375327965), call = ols(formula = y ~ rcs(age,         4) * treat * sex), terms = y ~ rcs(age, 4) * treat *         sex, Design = list(name = c("age", "treat", "sex", "age * treat",     "age * sex", "treat * sex", "age * treat * sex"), label = c("age",     "treat", "sex", "age * treat", "age * sex", "treat * sex",     "age * treat * sex"), units = c(age = "", treat = "", sex = ""    ), colnames = c("age", "age'", "age''", "treat=placebo",     "sex=male", "age * treat=placebo", "age' * treat=placebo",     "age'' * treat=placebo", "age * sex=male", "age' * sex=male",     "age'' * sex=male", "treat=placebo * sex=male", "age * treat=placebo * sex=male",     "age' * treat=placebo * sex=male", "age'' * treat=placebo * sex=male"    ), mmcolnames = c("rcs(age, 4)age", "rcs(age, 4)age'", "rcs(age, 4)age''",     "treatplacebo", "sexmale", "rcs(age, 4)age:treatplacebo",     "rcs(age, 4)age':treatplacebo", "rcs(age, 4)age'':treatplacebo",     "rcs(age, 4)age:sexmale", "rcs(age, 4)age':sexmale", "rcs(age, 4)age'':sexmale",     "treatplacebo:sexmale", "rcs(age, 4)age:treatplacebo:sexmale",     "rcs(age, 4)age':treatplacebo:sexmale", "rcs(age, 4)age'':treatplacebo:sexmale"    ), assume = c("rcspline", "category", "category", "interaction",     "interaction", "interaction", "interaction"), assume.code = c(4L,     5L, 5L, 9L, 9L, 9L, 9L), parms = list(age = c(33.006063739913,     46.0450788298244, 53.6005047434426, 67.3753079336887), treat = c("drug",     "placebo"), sex = c("female", "male"), `age * treat` = structure(c(1,     2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `age * sex` = structure(c(1,     3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `treat * sex` = structure(c(2,     3, 0, 0, 0, 0), dim = 3:2, dimnames = list(NULL, c("parms",     ""))), `age * treat * sex` = structure(c(1L, 2L, 3L, 0L,     0L, 0L, 1L, 0L, 0L, 1L, 0L, 0L), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", "")))), limits = list(), values = list(),         nonlinear = list(age = c(FALSE, TRUE, TRUE), treat = FALSE,             sex = FALSE, `age * treat` = c(FALSE, TRUE, TRUE),             `age * sex` = c(FALSE, TRUE, TRUE), `treat * sex` = FALSE,             `age * treat * sex` = c(FALSE, TRUE, TRUE)), tex = list(),         interactions = structure(c(1, 2, 0, 1, 3, 0, 2, 3, 0,         1, 2, 3), dim = 3:4)), non.slopes = 1, na.action = NULL,     scale.pred = "y", fail = FALSE, sformula = y ~ rcs(age, 4) *         treat * sex), class = c("ols", "rms", "lm")), factors = list(    x1 = 1), expand = TRUE): factor(s) not in design: x1
xs <- seq(-2, 2, length=20)
contrast(f, list(x1=0), list(x1=xs), type='joint')
#> Error in gendata(structure(list(coefficients = c(Intercept = 3.81130652398641, age = -0.0364542267418386, `age'` = 0.148834151508506, `age''` = -0.308632674204754, `treat=placebo` = -4.30283998912834, `sex=male` = -4.63346348145351, `age * treat=placebo` = 0.0998279739052187, `age' * treat=placebo` = -0.213913393443712, `age'' * treat=placebo` = 0.67409687853917, `age * sex=male` = 0.104212923375674, `age' * sex=male` = -0.158890866453074, `age'' * sex=male` = 0.246292360607691, `treat=placebo * sex=male` = 5.22560180935418, `age * treat=placebo * sex=male` = -0.114281894990881, `age' * treat=placebo * sex=male` = 0.190288298144725, `age'' * treat=placebo * sex=male` = -0.531569263503839), residuals = c(`1` = 0.473393142582745, `2` = -0.141559791486677, `3` = -0.788168025049547, `4` = 0.21054460675534, `5` = -0.052168426620235, `6` = 0.761192562957081, `7` = 0.294525427210084, `8` = 0.778992893373488, `9` = 0.417287271554842, `10` = 0.290026003424354, `11` = 0.77328492180143, `12` = -2.21856076335012, `13` = 0.620135735603211, `14` = -0.982486976113407, `15` = 0.389096872806126, `16` = 1.59165472133739, `17` = -0.409213518976697, `18` = -1.01752036715792, `19` = -0.181346995214259, `20` = 1.55581748864713, `21` = 0.139346338170896, `22` = 0.182066734033289, `23` = -0.618424389312127, `24` = -0.554081714108963, `25` = -0.171166590200338, `26` = -1.62301559024683, `27` = 1.27268310855217, `28` = -0.297789023228669, `29` = -1.9880106628626, `30` = -0.0368175155551034, `31` = -0.196960382730091, `32` = -1.51235368602801, `33` = 2.09241307495163, `34` = -1.07041636223387, `35` = -1.24454134745706, `36` = 0.576950328441049, `37` = 0.521488615375679, `38` = -0.229134628183383, `39` = 0.00400141112061388, `40` = -0.990190237387313, `41` = 1.2851274365228, `42` = 0.412589547973587, `43` = -0.787399977989638, `44` = 0.769006437456616, `45` = 0.988895426233647, `46` = -0.630295684848831, `47` = 0.562724155069554, `48` = -1.02269815967957, `49` = 2.02836178241615, `50` = 0.578962554814852, `51` = -0.0651227409029367, `52` = -0.482601584661845, `53` = -0.122710775094478, `54` = -0.745924474389847, `55` = 0.129232404629066, `56` = 0.69644800326718, `57` = -0.383650193614412, `58` = -1.03505602134916, `59` = -1.63181622155276, `60` = 0.629963250715442, `61` = 0.411215136470065, `62` = -0.127687518348258, `63` = -0.469469751114936, `64` = 0.318556449350774, `65` = -1.25267393092262, `66` = -1.39145828713222, `67` = -1.50318216737249, `68` = -0.570988109041285, `69` = 0.758112000717413, `70` = 0.764329699642486, `71` = -0.499944600769316, `72` = 1.3565106792036, `73` = -1.09027293012492, `74` = -0.393603041309807, `75` = -0.620376160132382, `76` = 0.265615235504436, `77` = -1.6461764280938, `78` = 1.2659298679682, `79` = 1.14059651838309, `80` = 0.791415273046844, `81` = 0.0314759530563674, `82` = 1.15851435544224, `83` = 0.471405507875407, `84` = 0.927581672841119, `85` = 0.164476032654289, `86` = 0.510352863388586, `87` = -2.33584512359756, `88` = -0.34780227924363, `89` = 1.10708324238512, `90` = 0.094798752715391, `91` = -1.23649875869111, `92` = -0.910146298085997, `93` = -0.683990253631276, `94` = 2.09490238568856, `95` = -0.0760714931017753, `96` = -0.573286663753271, `97` = -1.98908763334468, `98` = -1.81647642962243, `99` = 1.32438574368848, `100` = -0.86903377235127, `101` = 1.40641158624571, `102` = -0.360743393233509, `103` = -2.33335838717408, `104` = 2.17624702802662, `105` = -0.977495246805378, `106` = -0.408795499563846, `107` = 0.157762335504203, `108` = -0.133874450719822, `109` = -1.4245090565002, `110` = -1.53795672784485, `111` = 1.28342330422267, `112` = -0.905054646526503, `113` = 1.02311908315981, `114` = 1.67008317138642, `115` = -0.71401825217723, `116` = -0.578153505698901, `117` = -1.95986738456425, `118` = 1.89141370855209, `119` = -0.779653582026061, `120` = -0.0632922274198554, `121` = -1.27400237607834, `122` = 1.10713913145023, `123` = 1.57817020329863, `124` = 0.302648894059498, `125` = -0.44530813884912, `126` = -1.56720865277409, `127` = 1.26760092041906, `128` = 0.702371105475438, `129` = -0.0126092509352822, `130` = 1.3261327498269, `131` = 1.34157201563317, `132` = -0.437113083384821, `133` = -1.22319240883817, `134` = 1.10738117649282, `135` = 0.732099554148857, `136` = -0.131637260437666, `137` = 3.03471394221772, `138` = -2.54280583571282, `139` = -0.194474563460366, `140` = 1.11126010268969, `141` = 1.54804718702491, `142` = 0.987423986854891, `143` = 0.2270208340922, `144` = 0.774506729389174, `145` = 0.530040440803476, `146` = 0.0480187567561099, `147` = -0.760816625072516, `148` = 1.60621319216395, `149` = -0.314437680874743, `150` = -0.327722008888805, `151` = 0.206624190196415, `152` = 0.0617307906368444, `153` = -2.00040383856708, `154` = -0.458530949692246, `155` = 0.458977472470989, `156` = 1.19787630775429, `157` = -1.19270271783315, `158` = -0.625978129815824, `159` = -2.33795700121927, `160` = 0.69145784309282, `161` = 0.133499618785992, `162` = 0.861126548699294, `163` = -0.968400958900246, `164` = 0.593799579402085, `165` = 0.999546907045159, `166` = -0.165590178876463, `167` = 0.927907153642925, `168` = 0.97708644273119, `169` = -1.56469829290578, `170` = 0.325942381829308, `171` = -2.52328229293399, `172` = -0.220554561892202, `173` = -0.578995539868613, `174` = 0.943962991225024, `175` = -0.28762618678959, `176` = -0.623671701835947, `177` = -0.0341104023900253, `178` = 0.157640040779364, `179` = -0.677970796516483, `180` = -0.797916706774773, `181` = -1.20816910766897, `182` = -1.59804104009406, `183` = -0.723459862012967, `184` = 0.0690788908253884, `185` = -1.4455806298819, `186` = 0.422969891784379, `187` = -0.887030288014093, `188` = 0.377087057164622, `189` = 0.178111741409501, `190` = -0.362378737758759, `191` = -1.95828918660721, `192` = -1.46799011274907, `193` = -2.56615377178761, `194` = 1.36761607831182, `195` = -0.408212369596027, `196` = 1.75680421917922, `197` = -1.36059376866375, `198` = 1.47639510785232, `199` = 1.04571766902045, `200` = -0.78594720595898, `201` = 0.78188441248486, `202` = 0.644318907294342, `203` = -0.176077616379735, `204` = 1.47487230092207, `205` = -0.344437358216782, `206` = 2.07294602737772, `207` = -1.15341579063268, `208` = 1.58614770595903, `209` = -0.36758868526355, `210` = 0.440207666569601, `211` = -0.275306420511773, `212` = -0.132424702653712, `213` = -0.0482918827367892, `214` = 0.700333579034905, `215` = 0.153552167666028, `216` = 1.354904437276, `217` = -0.0940210930784746, `218` = 0.178249213418117, `219` = -0.0718590169721228, `220` = -0.372132565126363, `221` = 0.2743337233337, `222` = 0.995628997256991, `223` = 0.887256216024083, `224` = 1.02740258604454, `225` = 1.85132165161094, `226` = 0.135133292496099, `227` = 0.272018643509762, `228` = 1.623520847384, `229` = -0.0371489772319791, `230` = -1.02981802460295, `231` = -0.850432580867964, `232` = -0.565802227982752, `233` = -1.30510264397433, `234` = 1.25007618135143, `235` = -0.57526258593963, `236` = 1.24186815887754, `237` = 2.4105885346059, `238` = -0.347283504658361, `239` = 0.563423156759932, `240` = -0.662253648583073, `241` = 2.95491788703927, `242` = -0.961770230160829, `243` = 0.955674155023439, `244` = 0.972303956215665, `245` = 0.98934493625832, `246` = 1.10414013365689, `247` = 0.611263225798478, `248` = 0.568958545849905, `249` = -0.854717847927866, `250` = 0.350946835829447, `251` = -0.292457058101941, `252` = 2.75357107350176, `253` = 0.834242176262766, `254` = 1.26696116962087, `255` = -2.21287516293338, `256` = -1.28952973897863, `257` = -0.891829646108193, `258` = -0.459611780815687, `259` = -0.360470725493518, `260` = 0.641678262155804, `261` = -0.103990683020398, `262` = -0.178524851655183, `263` = 1.25677935380373, `264` = -2.13892491708195, `265` = -0.291827529434965, `266` = 1.12341318276903, `267` = 1.11983686151372, `268` = -0.137741552160711, `269` = -0.652781641884896, `270` = -0.216624624750199, `271` = -0.353021091043571, `272` = -0.297813327146467, `273` = -1.36327372004937, `274` = -0.205915013958304, `275` = 0.443664560139034, `276` = -0.449297489381728, `277` = -0.894191238077295, `278` = -1.79203325611391, `279` = -0.338917970655343, `280` = 1.78454097846621, `281` = -0.486091714453967, `282` = -0.591510503346713, `283` = 2.73050658453025, `284` = -1.97455321466408, `285` = 0.119995857914282, `286` = 0.719969756085881, `287` = -0.382643281434768, `288` = 1.27441154210719, `289` = 0.794322022197328, `290` = 0.0192342199461539, `291` = -1.10256862275973, `292` = 0.317607647584267, `293` = -0.313727631989234, `294` = -0.97124484737473, `295` = -0.000554259159670144, `296` = 0.38261760244071, `297` = -0.0103759782320025, `298` = 0.901824392365618, `299` = -2.43376069040953, `300` = 0.685216088057129, `301` = -0.65380455159173, `302` = 0.362082168407164, `303` = 1.22563369526588, `304` = 0.176269416098703, `305` = 0.0603768424851903, `306` = -2.67850521791345, `307` = -1.11241691981968, `308` = 0.729911896694816, `309` = -1.4325825658838, `310` = -0.0606715332645114, `311` = 0.240679514346496, `312` = -0.36041902727999, `313` = -0.729918732527916, `314` = -1.47883030018216, `315` = 0.447833665156941, `316` = -1.91727568754626, `317` = -0.796563030292006, `318` = -0.0786569709999069, `319` = -0.912599036896566, `320` = -0.374280879830022, `321` = 0.913925288194581, `322` = 0.0474455921381818, `323` = 0.267830904503625, `324` = 1.39415054076247, `325` = 0.0335244297731983, `326` = 0.0636535096050474, `327` = -1.95400847855562, `328` = 0.184180234167246, `329` = -0.630138130177308, `330` = -1.23937518977461, `331` = 1.21908437476211, `332` = 0.0886511555240727, `333` = 1.067459014511, `334` = -0.897215731172858, `335` = -2.43184076594686, `336` = 0.248715846417063, `337` = 1.00186646100921, `338` = 2.57202091329185, `339` = 1.06115664145703, `340` = 1.03242583230715, `341` = -0.516295870204025, `342` = 0.373684256030876, `343` = -0.696287403144038, `344` = 0.507426741798138, `345` = -1.14483927721652, `346` = -0.347702006329537, `347` = -1.34120925655074, `348` = 0.132263987256395, `349` = 0.461052261030674, `350` = 0.0364585430873317, `351` = -0.371637290517893, `352` = -0.250277953651279, `353` = -1.60952300211484, `354` = -0.0811655594020712, `355` = -1.94480643727683, `356` = 0.0367058513086389, `357` = 1.84673389295959, `358` = 0.687352765565837, `359` = 1.54834126785165, `360` = 1.47999715561202, `361` = -0.199412609175701, `362` = 0.442441122559382, `363` = -1.93794678614154, `364` = 0.903480758590514, `365` = -0.878779905489679, `366` = 0.93814648685653, `367` = -1.87001575381933, `368` = 1.14323506747458, `369` = -0.725525776777194, `370` = 1.52506612906047, `371` = 0.00133214565857233, `372` = -0.838325869616721, `373` = 0.619360156838574, `374` = 0.0185145811407747, `375` = -0.58793826643742, `376` = -0.809633520870028, `377` = 2.42474631250702, `378` = -0.899589296893904, `379` = 0.666213188688393, `380` = -0.224862675418023, `381` = -0.972357798866612, `382` = -1.31865648202374, `383` = -1.47590975195639, `384` = -1.42865950669184, `385` = -1.49391787590036, `386` = 0.735425852771022, `387` = -0.113293590187947, `388` = 1.82657917147067, `389` = 0.684065496953059, `390` = 1.61818216434126, `391` = 0.569787413227696, `392` = 0.872287836388432, `393` = 0.443883392621181, `394` = -0.263756227170968, `395` = 0.778842679122107, `396` = 0.00386362534273763, `397` = 0.906521196971356, `398` = -0.769442771559844, `399` = 0.918485635776285, `400` = -0.183600646187187, `401` = -0.854910509609521, `402` = -1.65994175471195, `403` = 1.41522115542652, `404` = 0.323028751572093, `405` = -0.0393960735383096, `406` = 0.761127380405703, `407` = 0.0518915602823483, `408` = -1.47493631559061, `409` = -2.05463374640576, `410` = -0.0262636160583861, `411` = -0.277152617048994, `412` = -0.95237179052035, `413` = 0.524979812606982, `414` = -0.30867595543128, `415` = 0.751031553977189, `416` = 1.32068395900713, `417` = -0.525437630091273, `418` = -0.82145895157684, `419` = 0.177714874920089, `420` = 1.54384127078222, `421` = -1.69461301507659, `422` = -1.12891772319357, `423` = -0.814871565802017, `424` = 0.358721105700531, `425` = 2.4283421361755, `426` = -0.44303787458905, `427` = -0.29598138757007, `428` = -1.6397583939611, `429` = -0.564934508157389, `430` = 0.625765363492575, `431` = -0.730962962130021, `432` = -0.417207085813908, `433` = -0.329865255662936, `434` = -0.0812245264952631, `435` = 1.70677405289037, `436` = 1.29706910069198, `437` = 2.10461847554973, `438` = -1.81676326145784, `439` = -0.408964591583987, `440` = 0.831861743697683, `441` = -0.368848037368429, `442` = 0.701150634706081, `443` = -0.629670051750208, `444` = -1.89424938156875, `445` = -1.03510035005447, `446` = 1.91654699439126, `447` = -0.137342244885132, `448` = 1.63161829549619, `449` = 0.872678003141009, `450` = 0.7354940205863, `451` = 1.71013693442075, `452` = -1.50536568326281, `453` = -0.260600196842927, `454` = -0.205015767917604, `455` = -0.799765233209928, `456` = -0.27203163937395, `457` = -1.97187543477011, `458` = -1.549080711885, `459` = 0.534916953819233, `460` = 0.267228963565255, `461` = 1.40004004146821, `462` = -0.231856921651543, `463` = -0.269343297756892, `464` = -0.351253623054593, `465` = -0.865256406841322, `466` = 0.322082355332635, `467` = -1.17690997944313, `468` = 0.534593844400968, `469` = -0.0540326192287986, `470` = 0.547909049107145, `471` = 1.33178809602133, `472` = -0.318723594185765, `473` = -0.174539116340187, `474` = 0.0645307518722822, `475` = -0.363815536468061, `476` = 1.69046367398989, `477` = 0.0558511635150722, `478` = 0.853076900725734, `479` = 0.353208463444756, `480` = 1.26624811768733, `481` = -0.175276235619638, `482` = -2.67968807484938, `483` = 0.140650878745784, `484` = -0.683261859913555, `485` = 0.39988913139711, `486` = -0.921886641491984, `487` = -0.123478700464778, `488` = -0.483834170295311, `489` = -0.410132833268128, `490` = -0.630367617844952, `491` = -0.898087147980022, `492` = 0.061419860055552, `493` = -1.24305510798906, `494` = -0.199396181289918, `495` = -0.324262165272746, `496` = -0.654781741789735, `497` = 1.87250328682731, `498` = -1.74630441027651, `499` = 0.0275580206618543, `500` = -1.14997326268865, `501` = -1.40301688821418, `502` = -0.14100649790472, `503` = 2.16148598856364, `504` = 1.19952737027423, `505` = 0.353897451004024, `506` = -0.739164373388727, `507` = 2.15860514356829, `508` = -0.457866905854127, `509` = -1.09598276735103, `510` = -1.24445107762985, `511` = -0.601946374367648, `512` = 1.75106898973113, `513` = 1.05292684391896, `514` = 0.465292485092317, `515` = -1.76974816885205, `516` = -0.260967988129897, `517` = 1.13139835620884, `518` = -0.346246228656431, `519` = -0.509655431433273, `520` = 0.0446962529239993, `521` = -0.893603197098097, `522` = -0.264265589387314, `523` = 2.37927093190715, `524` = 0.56623940637046, `525` = 1.26084854960676, `526` = -0.16122008287042, `527` = -0.476290255141048, `528` = 0.62792198670192, `529` = -1.42352810998377, `530` = 1.24879131206239, `531` = -0.243473120349148, `532` = -2.93573308282161, `533` = -0.836853203515277, `534` = -0.289078433350248, `535` = 2.0146017680782, `536` = -0.112083638190287, `537` = -1.34164918116908, `538` = -0.286109197263816, `539` = -0.921551331259077, `540` = -1.50762020479464, `541` = -0.899204724499733, `542` = -1.84270843154796, `543` = 2.47910460085213, `544` = 0.355823818882617, `545` = 0.706619369595011, `546` = -1.06623568528134, `547` = 1.27849806285197, `548` = 0.650459328938198, `549` = -1.08448801914052, `550` = -0.331096713214464, `551` = -0.362181387236569, `552` = 1.36520633218548, `553` = -0.228989645926182, `554` = 1.19532656192675, `555` = 0.720309310162288, `556` = -0.283118690576896, `557` = 0.0935562293552512, `558` = -0.73632605030403, `559` = -0.386018975162292, `560` = -1.61510382032058, `561` = -0.647358021747128, `562` = -0.198189055902959, `563` = -0.231859676486582, `564` = 2.46984610041161, `565` = 0.401287656437332, `566` = -1.50462690049602, `567` = 1.06286502976489, `568` = -0.275807347295196, `569` = 1.40163112935451, `570` = -0.135627762285509, `571` = 1.59671907753339, `572` = 0.0332454746191333, `573` = -0.46390113438653, `574` = 2.04667164615292, `575` = -1.26648358451873, `576` = 0.34241800164842, `577` = -0.862845130940423, `578` = 1.17888758326791, `579` = 0.482871358449955, `580` = -0.586203075632172, `581` = -0.313436280167181, `582` = 0.666317498206885, `583` = -1.09381644255708, `584` = -0.64706278998496, `585` = 0.522473010345057, `586` = 0.69004630757896, `587` = -1.58732753392557, `588` = -0.0292439105393772, `589` = -0.95223314589784, `590` = -0.810897881173304, `591` = 1.09047425654457, `592` = 1.0984719685864, `593` = -0.101880226320777, `594` = -0.885731653711405, `595` = 0.165247458264157, `596` = 1.67817302478363, `597` = 1.02740874816144, `598` = 0.407098533975226, `599` = 0.0212323212915641, `600` = 1.05709190123365, `601` = 0.721513274718439, `602` = 0.71360654872932, `603` = -0.702932488448542, `604` = -2.71950727348554, `605` = -0.589089845429238, `606` = 1.0773579551258, `607` = -0.173410813853688, `608` = -0.663243953069262, `609` = -1.97911747657479, `610` = -0.474745855259661, `611` = -0.814679133694167, `612` = -0.653757145370431, `613` = 0.0722862425134145, `614` = -0.224191614571255, `615` = 1.26727670748956, `616` = -1.57412936537123, `617` = -1.51938372179535, `618` = -1.01159427196705, `619` = 0.127049137158835, `620` = 2.25803738472732, `621` = 1.45125433397264, `622` = -0.41145899206481, `623` = -0.479687499365016, `624` = 1.31638641894359, `625` = 0.391330002961166, `626` = -0.389456294379096, `627` = 0.0585043435648092, `628` = 1.09446808322787, `629` = 0.0146191695005953, `630` = 0.126506704022758, `631` = 0.760425067297108, `632` = -0.516005945923311, `633` = -1.98122694670427, `634` = 0.011026550928697, `635` = 1.22053538149303, `636` = -0.250159969858279, `637` = 0.992895735013286, `638` = -0.561635743470546, `639` = -0.741059041672562, `640` = 0.228842364481597, `641` = -0.484357418131607, `642` = 0.167843895096638, `643` = 0.961398356412197, `644` = -0.439590532664392, `645` = -0.120176486308383, `646` = 0.952901925716894, `647` = 1.54027188688194, `648` = -0.200071606038271, `649` = -0.370593024292862, `650` = -0.489866105018164, `651` = 0.99807649275207, `652` = -0.666729663960561, `653` = -0.719481828892707, `654` = -0.287111429652809, `655` = -1.40296029636829, `656` = -0.307156948909019, `657` = -0.432180139816106, `658` = -0.0655155763153287, `659` = 0.783149637579721, `660` = 1.77511674298001, `661` = 0.858748165133872, `662` = -1.15741607406915, `663` = 1.47852495973671, `664` = 0.77739201019174, `665` = 0.191592881379408, `666` = 1.0005740448232, `667` = 0.51192647401808, `668` = -0.122685536995748, `669` = -0.575662329971165, `670` = 0.868342008354016, `671` = -2.18288020451937, `672` = -0.377447729738174, `673` = -1.32851313123068, `674` = -2.04917816509898, `675` = 0.252456896271665, `676` = -0.00455759699316366, `677` = -1.80988772612292, `678` = -0.276704117303584, `679` = 0.525186032973322, `680` = 0.651829393276619, `681` = 0.271425733169605, `682` = 0.710379930452424, `683` = 0.124270638581215, `684` = 0.457124159009988, `685` = -0.0831111801632644, `686` = -0.918521479885603, `687` = 0.255674046162417, `688` = 0.893358978410407, `689` = 2.40262062264375, `690` = -0.480158297042548, `691` = 0.0370645329551433, `692` = -2.13030267718804, `693` = -0.980839303313051, `694` = 1.39772326518982, `695` = -0.17132646184608, `696` = 0.460408340786116, `697` = 0.478251291173555, `698` = -0.757248447085629, `699` = -0.206535309703804, `700` = 0.349975367908024, `701` = -0.247233949170307, `702` = -0.0162895051132212, `703` = -0.60099445259856, `704` = -1.37556588385377, `705` = 0.645622435957847, `706` = 1.4013001557138, `707` = 0.202694307230844, `708` = 0.0956946271562169, `709` = -0.241541600821264, `710` = 1.41187869168221, `711` = 1.16354084643934, `712` = 1.41065660623005, `713` = 0.773256870269722, `714` = 0.183455204067203, `715` = 0.480042465027015, `716` = 0.294571740526009, `717` = -1.20260918153325, `718` = 2.23428656648947, `719` = -1.1515462705905, `720` = 0.616198841192538, `721` = -1.41866870384524, `722` = -0.951966350087608, `723` = -0.352485148907089, `724` = -1.42086086122911, `725` = 0.0582291636091519, `726` = -1.03902533879805, `727` = 0.0996535606923858, `728` = 1.84806459684644, `729` = 0.769984914249602, `730` = -1.42845531193888, `731` = 0.370737032050522, `732` = 0.0654514348826629, `733` = 1.77481413849243, `734` = 0.590916559430136, `735` = -0.0976196494326984, `736` = -1.15398676759493, `737` = 0.048500857472991, `738` = 1.43728575012931, `739` = -0.969080437830227, `740` = -0.71736093120723, `741` = 1.03777139727611, `742` = 0.958306045718272, `743` = -0.274420680706018, `744` = -0.300947151495689, `745` = 0.0421269080315298, `746` = 1.02885153552682, `747` = 0.0254833900179468, `748` = 0.243121699570229, `749` = 1.69002191128667, `750` = 0.836142919340155, `751` = 1.28824988628336, `752` = 1.80408876812388, `753` = -0.155972070968765, `754` = -0.0972269255301354, `755` = 0.173923472482183, `756` = 0.429328031436448, `757` = -0.434125625965263, `758` = 0.199289404917013, `759` = -0.931578567641512, `760` = 0.385669117507831, `761` = -0.834233345701464, `762` = -0.225288119873308, `763` = 1.2326248028519, `764` = -0.281764122908527, `765` = -0.568085715221524, `766` = 0.860471328956729, `767` = -2.66192804189633, `768` = 0.0601969106197502, `769` = 0.304991890080915, `770` = 2.35592805016226, `771` = -0.617449971933117, `772` = -0.996906991473719, `773` = 2.25279831414472, `774` = 0.332555213772629, `775` = -0.0343182375654322, `776` = 0.553942095735088, `777` = -0.332260043051378, `778` = -1.08865647256746, `779` = 0.809667694768049, `780` = 0.0329839118148833, `781` = -0.0935493157522529, `782` = -1.18852966422395, `783` = -0.998380780854964, `784` = 0.597827690052846, `785` = -0.939921171439336, `786` = 0.571054144382359, `787` = 1.03357365681507, `788` = 1.00228797020952, `789` = -1.31781480506039, `790` = 0.10914512607753, `791` = 0.137302528006935, `792` = 0.996301382808932, `793` = 0.484548535905109, `794` = -1.2229509318636, `795` = -0.31591843989084, `796` = 1.10557071566996, `797` = 1.00632025507384, `798` = 1.82147163570023, `799` = -1.15978776889398, `800` = -0.754735507390657), effects = c(Intercept = -73.40333659132, age = 13.6382906841201, `age'` = -2.107611276151, `age''` = -0.034533686035316, `treat=placebo` = -2.24761333894835, `sex=male` = 2.65400508021108, `age * treat=placebo` = -0.243522200233562, `age' * treat=placebo` = 2.26243430584071, `age'' * treat=placebo` = 1.0721171414083, `age * sex=male` = 1.44104881889796, `age' * sex=male` = 3.84672118267309, `age'' * sex=male` = 0.428113012081798, `treat=placebo * sex=male` = 3.64434918334448, `age * treat=placebo * sex=male` = 1.82702857346944, `age' * treat=placebo * sex=male` = -2.0416754656213, `age'' * treat=placebo * sex=male` = -0.865456381743029, -0.572850974887237, -1.17018600460594, -0.0963618583398188, 1.40955786337855, 0.0459542010786245, 0.054162644913335, -0.716313781853562, -0.662075456970051, -0.287362257763061, -1.62608406617552, 1.28980384042999, -0.0456820693279919, -1.94036918237309, -0.135916515161014, -0.23955569337864, -1.44408160083464, 1.96640645780827, -1.11087569668948, -1.23195598718316, 0.46338388259601, 0.352396975809895, -0.35304969650697, 0.116559024379499, -0.98470620043081, 1.41858956516318, 0.721265766857826, -1.1339386640339, 0.655480194364529, 0.847366265130963, -0.630687887144773, 0.657047719449646, -1.14664480797666, 1.7638336644967, 0.626296229567147, -0.195506654238485, -0.646252657427098, -0.139697843963573, -0.590290197636792, 0.0778434741039944, 0.669110607661971, -0.427663691616754, -0.899358002588566, -1.76800081230197, 0.579232779335802, 0.493796992546083, -0.0271421617831837, -0.484607750376689, 0.267949506055039, -1.20379240580015, -1.24401829194072, -1.53310664801457, -0.718940125760921, 0.638532609533419, 0.685208828541294, -0.311266263368033, 1.24347378677893, -1.12420676301885, -0.448458805165953, -0.675397326252763, 0.273018630441841, -1.64138312863665, 1.35818388732829, 1.03442825450482, 0.938960023424087, 0.00373005418637162, 0.9961626316138, 0.376732229144643, 0.811446613350443, 0.222289088923426, 0.430731167570466, -2.20015588254468, -0.435344252558877, 1.09983354616501, 0.105034257705275, -1.23214852290654, -0.958961370821248, -0.673648925584276, 1.95346019103648, 0.00593114871831279, -0.622755754872117, -1.98927501769708, -1.68969738232221, 1.64017013679322, -1.01388454826697, 1.32929870110876, -0.477714946516354, -2.32338177859855, 2.12407241889225, -0.895845019708879, -0.425595709895197, 0.218962050366787, -0.127460273135104, -1.34130173019619, -1.63733646365065, 1.26014407044007, -0.739092790829002, 1.08124266813936, 1.66524436361464, -0.525200332594081, -0.629308531038169, -2.05956382158515, 1.75792829515329, -0.883690325425071, 0.0504542319645168, -1.19068856264395, 1.06937548571033, 1.45181621995161, 0.299403153165381, -0.578097958427776, -1.56815079106531, 1.38991756050067, 0.659786641431123, -0.141445929056025, 1.37153294716425, 1.17874690333005, -0.566539398435019, -1.26430637087197, 1.54873284881512, 0.568424907570846, 0.0536320312414061, 3.02678070850782, -2.51625883294248, -0.0467236280202693, 1.01099842079662, 1.49043466931921, 0.82313712661326, 0.313411320850356, 0.780566077689021, 0.42965757898183, 0.128040070019345, -0.868879254373763, 1.81772477128329, -0.362618741109525, -0.471052208341644, 0.251709691538199, -0.0166655284892506, -2.13266939400036, -0.576923620740367, 0.530611766512081, 1.195102962025, -1.34150935786286, -0.596746065942844, -2.39303655768923, 0.880352261816334, 0.0917559833518959, 0.809727135994157, -0.729970576769514, 0.792333551893106, 1.07642974480236, -0.164989225384035, 1.08189605641, 1.11314216142431, -1.72977557094265, 0.261211721318, -2.6632247143553, -0.378887509619794, -0.673821052365435, 0.919115485932933, 0.0378349024699697, -0.717893929033466, 0.0182916261997959, 0.00914510934540284, -0.537743369758895, -0.808455285713084, -1.17177082230259, -1.61278646965847, -0.554314275731673, 0.152363993666186, -1.3798903887697, 0.415122928796598, -0.72460615272511, 0.319899165306241, 0.0138955134273004, -0.52667677064417, -2.10158100553355, -1.51811822003867, -2.69817356576717, 1.43209750643492, -0.417131131756681, 1.89029019087277, -1.36632236570487, 1.33790250185367, 1.0984813868671, -0.924252683485373, 0.661503228428236, 0.522793433993535, -0.289481849632496, 1.35673633188748, -0.359847631614441, 2.2184439717927, -1.31640379028992, 1.69220766304441, -0.333514666912783, 0.296061806323314, -0.100978518323013, -0.211125945004448, 0.0809622414887248, 0.662717193679243, 0.200363530441026, 1.27173614600483, 0.0827603938371803, 0.19724386948073, -0.130320726192931, -0.154475974685408, 0.222854610541286, 0.862949751560051, 0.963869201023936, 0.862683682407007, 1.88607805168194, 0.17787502223404, 0.280328534240683, 1.69605339236483, -0.0138316591359702, -1.18159910117973, -0.894215518292957, -0.619885770764213, -1.34728819738794, 1.35718357328599, -0.70578664439481, 1.30611622594388, 2.30332209406001, -0.506309052316268, 0.476752071262815, -0.686677576468282, 2.99220151193042, -0.930880466752343, 1.08551156980691, 0.971583097112518, 1.19421323453849, 1.19229713486145, 0.47817344687356, 0.563455539462853, -0.815508142941393, 0.304782864252948, -0.32589993496468, 2.68003304351168, 0.814646972297269, 1.52582265805096, -2.34509276390712, -1.33670713276002, -1.00804893546524, -0.511671297810866, -0.443097552451032, 0.505923196205986, 0.305062062124505, -0.285571007783972, 1.1362601018451, -2.26825907990482, -0.312199311021363, 1.22106246226168, 1.07150683742929, 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0.580548995133037, 0.126703128720121, 0.569656512065563, 0.10770650692188, 0.435348894686623, -0.247930588426894, -0.844228794034961, 0.123034402811563, 0.78111827743297, 2.3618487202732, -0.61882279730788, 0.0668041152554399, -2.26713029080264, -0.828396443261679, 1.26993303849881, -0.03039293409857, 0.429319422309336, 0.631597348375269, -0.844185997483185, -0.160559310908493, 0.319138158190132, -0.166565566595088, 0.125887319897372, -0.522688880720763, -1.23690212822424, 0.719848111505827, 1.35933328238897, 0.0725714730809292, 0.0217098275000365, -0.31643430946117, 1.25085271107477, 1.3638879572947, 1.33698033651463, 0.803361260010268, 0.116943326383704, 0.380660895855268, 0.24849823499166, -1.28431518571426, 2.33071520522355, -1.19110442037258, 0.529847079790773, -1.29030775886443, -1.06944368899846, -0.184521424554327, -1.33696417481552, 0.016582354828849, -0.884557462261349, 0.0870195139233712, 1.95810352473099, 0.718305338046376, -1.49526111359094, 0.336536695265361, 0.124747665997748, 1.04987196933542, 0.70788247551476, -0.17613117040106, -1.20909614430547, -0.0292857209734235, 1.4636307094423, -0.987921517155655, -0.842260630085467, 1.09002136392792, 0.868898450937378, -0.394103499413947, -0.248122683411008, 0.172610190116425, 1.00260268314649, -0.0965247693659452, 0.0989299119993181, 1.74768702086668, 0.692728306838585, 1.23613555584604, 1.77285557041551, -0.23881130558668, -0.0805116029057873, 0.0416988020249218, 0.297933995176449, -0.250606422971945, 0.0894804712305895, -0.804762369104944, 0.333821512822324, -0.813295524510226, -0.298233156512461, 1.31778189647637, -0.21986145577956, -0.611368606182007, 0.967278702989654, -2.52414943647429, -0.0755818975511696, 0.169111736495417, 2.23253748899061, -0.629846423705932, -1.35071588787323, 2.12601204119038, 0.19035376557703, -0.140560533768141, 0.509697463187835, -0.440625345768201, -1.02227471346483, 0.762363676169038, -0.0871288150611121, -0.0699811259583561, -1.30069428264778, -1.24142493103183, 0.605581162539639, -1.10422685757841, 0.451562029691737, 0.870267171739296, 1.05625793747355, -1.29748102966093, 0.0118069893978282, 0.0851986068188737, 0.987876749158515, 0.482549683212166, -1.09711426174666, -0.23910684896716, 1.03394446587643, 1.18019617564374, 1.79694306130437, -1.72790554432164, -0.776398954786844), rank = 16L,     fitted.values = c(`1` = 1.8273464762968, `2` = 2.6542796288188,     `3` = 2.91235879550687, `4` = 2.62632478687051, `5` = 2.37478067233776,     `6` = 2.57126669833247, `7` = 2.29342830409831, `8` = 2.91272324756385,     `9` = 2.7720149889747, `10` = 2.61802501930452, `11` = 2.83995582973133,     `12` = 3.15822090879926, `13` = 2.7318330139736, `14` = 0.923092063185215,     `15` = 2.35638427355456, `16` = 3.21291450377986, `17` = 2.85930487738867,     `18` = 1.85471780857574, `19` = 2.59507849617468, `20` = 2.77516156003148,     `21` = 2.37468336722965, `22` = 2.94734075955842, `23` = 2.71890305200674,     `24` = 2.56690580859943, `25` = 2.62312595210793, `26` = 2.69985921118831,     `27` = 2.46142105713551, `28` = 4.81182749551602, `29` = 1.78100545234006,     `30` = 2.51087836642562, `31` = 2.18383381057564, `32` = 3.12042045378319,     `33` = 2.962998524365, `34` = 2.17134047276968, `35` = 2.49370220032693,     `36` = 2.95708295768924, `37` = 4.12990022922827, `38` = 2.68438147115392,     `39` = 2.20205567454462, `40` = 1.89621933065192, `41` = 3.17300922223564,     `42` = 1.36495515601018, `43` = 4.9162768756297, `44` = 2.34843367978997,     `45` = 2.2828688390031, `46` = 2.47656065356765, `47` = 3.35155981290649,     `48` = 2.68466198933939, `49` = 1.72312215469336, `50` = 2.5545423995087,     `51` = 2.75451955418949, `52` = 2.82193431350933, `53` = 2.40214416391366,     `54` = 0.959203672924118, `55` = 2.43423806672798, `56` = 2.38707792981996,     `57` = 2.37029134741965, `58` = 2.24561426606161, `59` = 2.30349409111093,     `60` = 2.43894245579633, `61` = 2.82061452685481, `62` = 3.40279330285509,     `63` = 2.02110598950698, `64` = 2.43980467959036, `65` = 2.55818586752441,     `66` = 3.81749524286754, `67` = 2.55797249452663, `68` = 1.86026293864306,     `69` = 2.64852423658387, `70` = 2.39078281119623, `71` = 4.20728393693173,     `72` = 2.73321470694733, `73` = 2.13299125795756, `74` = 2.40078521835743,     `75` = 2.38732388647639, `76` = 2.48663441342883, `77` = 2.48319236767406,     `78` = 3.33474920590903, `79` = 2.72652344572814, `80` = 2.502890404923,     `81` = 2.38653230290044, `82` = 2.81510053286542, `83` = 2.48414658771294,     `84` = 2.62268592379984, `85` = 3.0651368477459, `86` = 3.15791582696985,     `87` = 2.24559620887642, `88` = 3.13179459683268, `89` = 1.97357557764259,     `90` = 2.77282308095323, `91` = 2.74016188199839, `92` = 2.45176950529484,     `93` = 3.32531928953431, `94` = 2.19751752606572, `95` = 2.72674714579747,     `96` = 2.42192340543888, `97` = 1.93076371222272, `98` = 3.62929473538996,     `99` = 1.35369434987869, `100` = 2.2547370962648, `101` = 1.94409001325824,     `102` = 2.62880112621963, `103` = 2.77137140917496, `104` = 1.95738338715501,     `105` = 2.72049174848199, `106` = 2.40243453220378, `107` = 3.09735812074682,     `108` = 2.75153859240597, `109` = 2.7634794003779, `110` = 2.05813014540498,     `111` = 2.65985862884668, `112` = 2.46522299246837, `113` = 1.5703781919029,     `114` = 2.69035917134868, `115` = 4.20861430662284, `116` = 2.37125443702692,     `117` = 2.36705613621479, `118` = 2.85308469084743, `119` = 2.5415194010717,     `120` = 3.15710460382206, `121` = 2.77865444148754, `122` = 3.2954859943684,     `123` = 2.70726046586218, `124` = 2.42473855283583, `125` = 2.75546009888392,     `126` = 1.93535012472394, `127` = 2.21956899382337, `128` = 2.48911632772296,     `129` = 2.93859012435979, `130` = 2.5501671026405, `131` = 2.86395308616895,     `132` = 2.9325665637652, `133` = 2.49741866101599, `134` = 1.15477002080841,     `135` = 2.85906509967744, `136` = 3.21480202919142, `137` = 2.64844922449584,     `138` = 1.81624171593204, `139` = 2.50256109585425, `140` = 2.06026174870399,     `141` = 2.41347967088569, `142` = 2.82647702488726, `143` = 3.28776560599656,     `144` = 2.74957705273186, `145` = 2.06055571226601, `146` = 3.23783901748259,     `147` = 3.0579009438373, `148` = 3.23597166652999, `149` = 2.21636165136686,     `150` = 2.77037519109151, `151` = 3.14335945231959, `152` = 2.39156945942855,     `153` = 2.78704915422625, `154` = 2.63941496646989, `155` = 2.58610032037074,     `156` = 2.70144690395644, `157` = 2.90426129456847, `158` = 2.88420138031662,     `159` = 2.39479076403391, `160` = 2.80509075142565, `161` = 2.37161390962301,     `162` = 2.41992065646662, `163` = 2.9052094221091, `164` = 3.22550263914549,     `165` = 1.73315464210068, `166` = 2.43142907624064, `167` = 3.87849162526757,     `168` = 1.08194647347416, `169` = 2.84365960719609, `170` = 2.31147636681322,     `171` = 2.76523847380424, `172` = 2.88117058586849, `173` = 2.04732981907891,     `174` = 2.07915665869094, `175` = 3.08110988123108, `176` = 2.04592349294163,     `177` = 2.56700092604082, `178` = 2.77907881429002, `179` = 3.17846678411757,     `180` = 2.65038681640476, `181` = 2.92913414157109, `182` = 2.63780063630832,     `183` = 2.45550173098484, `184` = 2.78684913414774, `185` = 2.60955074916775,     `186` = 2.67430224080449, `187` = 2.3114710982275, `188` = 2.41392007655519,     `189` = 2.85514775159917, `190` = 2.82657039075926, `191` = 2.27203654778748,     `192` = 2.37030879867869, `193` = 2.78189657176958, `194` = 3.01888613570589,     `195` = 2.66860452934713, `196` = 2.5229466489951, `197` = 1.96437460612657,     `198` = 2.29586715480886, `199` = 2.53040196702745, `200` = 2.17979970489295,     `201` = 2.99968367627667, `202` = 2.99303164445703, `203` = 2.09396489715103,     `204` = 2.63747526906564, `205` = 2.63430036234606, `206` = 1.62346827950003,     `207` = 2.86309558489206, `208` = 1.26999728769122, `209` = 1.72020445809491,     `210` = 2.91311906510036, `211` = 2.43319556057215, `212` = 2.39109250097856,     `213` = 1.6492458519465, `214` = 1.99197336957605, `215` = 2.55334196204763,     `216` = 2.41675268048625, `217` = 2.4118017030696, `218` = 1.82904370247393,     `219` = 1.96972936169113, `220` = 4.48347814044753, `221` = 2.43357782876622,     `222` = 2.88429652654287, `223` = 3.21160807310651, `224` = 2.85022603796191,     `225` = 2.52882699909125, `226` = 2.0957307798493, `227` = 1.87895581468756,     `228` = 3.18065900342439, `229` = 2.47307935938645, `230` = 2.78536931497109,     `231` = 2.19076727042225, `232` = 2.41128760676261, `233` = 2.37131981545313,     `234` = 2.55303760371157, `235` = 2.9199693414722, `236` = 2.60397022793523,     `237` = 2.35726095482352, `238` = 2.87899977284871, `239` = 3.13468726875723,     `240` = 2.58696063484866, `241` = 2.93480037321797, `242` = 2.52196476517132,     `243` = 2.23386570374798, `244` = 1.93400574589039, `245` = 4.36159183616138,     `246` = 3.30181888171832, `247` = 2.87275271626973, `248` = 2.68680493967785,     `249` = 2.9472147026804, `250` = 2.67701679026062, `251` = 2.43874412812383,     `252` = 2.69832522750769, `253` = 2.39815127697227, `254` = 3.27416880961077,     `255` = 2.89420394072003, `256` = 2.46206595690653, `257` = 3.02161363337767,     `258` = 2.37253590878611, `259` = 3.14803716395551, `260` = 2.30477591805902,     `261` = 1.20593814723825, `262` = 3.06200642364828, `263` = 2.99889777179038,     `264` = 2.14282555354455, `265` = 2.01335804244271, `266` = 1.32272589615639,     `267` = 2.45487059993715, `268` = 1.51492463330488, `269` = 2.31193380003934,     `270` = 2.69797296272068, `271` = 3.27746164011552, `272` = 2.37320371671454,     `273` = 2.44765266363073, `274` = 2.76426830101752, `275` = 3.14991474578698,     `276` = 1.91281943159906, `277` = 1.47871083226282, `278` = 2.66139783025367,     `279` = 3.0068312744844, `280` = 2.40803144249423, `281` = 3.19967771868625,     `282` = 2.38442996368075, `283` = 2.74742751208274, `284` = 2.74151591243007,     `285` = 2.53430303102901, `286` = 2.13304771295534, `287` = 3.03502047926305,     `288` = 2.40927804101479, `289` = 2.84449715484632, `290` = 2.69872269248432,     `291` = 4.2167466822975, `292` = 2.86134949044519, `293` = 2.3240990316239,     `294` = 2.58529458327362, `295` = 2.589177826791, `296` = 1.65132282111858,     `297` = 4.12860304687622, `298` = 2.9788838201833, `299` = 2.03941888516452,     `300` = 2.74426480590544, `301` = 2.70375821808304, `302` = 2.42445684795484,     `303` = 3.91189357427476, `304` = 2.46328928597437, `305` = 2.71213347425702,     `306` = 2.75078140564015, `307` = 2.39519608769782, `308` = 1.97652601737173,     `309` = 2.49237836450657, `310` = 3.02437447193905, `311` = 2.63718302354101,     `312` = 2.85937900798305, `313` = 2.54616629469414, `314` = 2.7903511279751,     `315` = 1.61496522808629, `316` = 2.84844468900093, `317` = 2.37133176406135,     `318` = 2.2342212333381, `319` = 2.39493857884649, `320` = 1.88745641232398,     `321` = 2.39649029076404, `322` = 2.25072436441753, `323` = 2.36943155133288,     `324` = 2.42743673231805, `325` = 2.97791930992207, `326` = 2.09234168848051,     `327` = 2.36240634177489, `328` = 1.1105791288804, `329` = 2.37013324391512,     `330` = 2.26471337954389, `331` = 3.05444517174529, `332` = 2.38980742161709,     `333` = 2.37786232477323, `334` = 1.78990970602347, `335` = 2.70944370588652,     `336` = 3.5683141888971, `337` = 2.44134246962534, `338` = 2.25972174620225,     `339` = 3.00918859646008, `340` = 2.18586223684944, `341` = 2.74330408539129,     `342` = 2.86867416819939, `343` = 2.06826131293291, `344` = 3.63151763911666,     `345` = 2.85886713213127, `346` = 2.21985116812454, `347` = 2.3815434508579,     `348` = 2.41350923720854, `349` = 2.89843556037318, `350` = 2.23898268719741,     `351` = 1.29584077798455, `352` = 2.51159663534582, `353` = 2.85257238541717,     `354` = 1.77903202336168, `355` = 2.55028022270778, `356` = 2.44782824590644,     `357` = 2.46271608796213, `358` = 2.51685373998414, `359` = 2.41583566834669,     `360` = 2.3728907565472, `361` = 2.369454773508, `362` = 3.29250303236263,     `363` = 2.66285306254625, `364` = 2.49029698546202, `365` = 1.05306070502084,     `366` = 1.86455368138798, `367` = 2.88031132181863, `368` = 2.30036007798452,     `369` = 2.11837578996616, `370` = 2.40083223927156, `371` = 2.29153752579909,     `372` = 2.44953094562367, `373` = 2.62721713144288, `374` = 3.9441196218975,     `375` = 2.9557674025679, `376` = 3.66113529407979, `377` = 2.32038023868864,     `378` = 2.87211440331623, `379` = 2.39293831188164, `380` = 2.51344798573844,     `381` = 4.63994090353258, `382` = 2.42205148785717, `383` = 2.33462597983624,     `384` = 2.23050814284012, `385` = 2.88331664462298, `386` = 4.55690943309283,     `387` = 2.58261047793064, `388` = 2.54193081869031, `389` = 4.52295683194619,     `390` = 2.14060027084606, `391` = 2.99869748680244, `392` = 2.26250701192594,     `393` = 2.01249031809818, `394` = 2.97085385284773, `395` = 2.64468402413129,     `396` = 2.33395576477012, `397` = 2.63502066231726, `398` = 2.24915693049968,     `399` = 2.58574738517705, `400` = 2.3716272899945, `401` = 1.69024305202187,     `402` = 3.19926868492288, `403` = 1.77606477443688, `404` = 1.64318193529478,     `405` = 2.83237040517646, `406` = 2.88901243357697, `407` = 2.40363001910485,     `408` = 2.56124257441973, `409` = 3.15661085878286, `410` = 3.01754450476663,     `411` = 1.66908846281502, `412` = 3.04638461915898, `413` = 2.4902496498083,     `414` = 2.32355269847258, `415` = 3.20708965017669, `416` = 2.94047492110776,     `417` = 3.039308895143, `418` = 2.4463121970276, `419` = 2.85372829272876,     `420` = 2.52921117908114, `421` = 2.20126381165548, `422` = 3.67012958834098,     `423` = 2.67998235983964, `424` = 2.48875766442306, `425` = 2.98395742646305,     `426` = 2.86885943428284, `427` = 2.36948098545145, `428` = 2.41007394201668,     `429` = 3.32665939652036, `430` = 2.60667304612803, `431` = 2.3375066389785,     `432` = 3.1650659263681, `433` = 2.87830655726086, `434` = 2.24977346407656,     `435` = 2.41284105666922, `436` = 2.87304300931647, `437` = 2.46339398769293,     `438` = 2.94459097140992, `439` = 2.44625020909451, `440` = 1.88518695389097,     `441` = 2.63410511427251, `442` = 3.31221841531284, `443` = 1.75003520014887,     `444` = 2.03294189166507, `445` = 1.66007689915753, `446` = 2.29814525739876,     `447` = 3.06648380940822, `448` = 2.57970479276396, `449` = 2.36683669531664,     `450` = 2.4670869173179, `451` = 2.44602851362862, `452` = 3.45053339543596,     `453` = 3.28071687825047, `454` = 3.04908277183995, `455` = 2.37763546512344,     `456` = 2.26398601372506, `457` = 2.692748575164, `458` = 2.62690602442052,     `459` = 2.71352920569489, `460` = 2.47429183434904, `461` = 2.4039247810575,     `462` = 1.93412621996201, `463` = 2.38480340226842, `464` = 2.07063510996225,     `465` = 2.40690117392684, `466` = 2.42420000654002, `467` = 2.81475506919669,     `468` = 2.20640905191678, `469` = 2.37632831310256, `470` = 3.53490867501887,     `471` = 3.41002468731006, `472` = 2.75092976639121, `473` = 3.09480651714885,     `474` = 1.90007305083701, `475` = 3.2296327868531, `476` = 3.02534506485739,     `477` = 2.53398829371899, `478` = 2.82791722535193, `479` = 2.55583773830625,     `480` = 2.59402715530063, `481` = 1.6781326990062, `482` = 2.87293840540908,     `483` = 4.03969129126323, `484` = 3.19450816106775, `485` = 2.68239952858409,     `486` = 2.39405541049845, `487` = 2.71100128720999, `488` = 3.00282156550285,     `489` = 3.40302266876215, `490` = 2.88352616157181, `491` = 3.52856064048011,     `492` = 2.62144967861979, `493` = 2.77538989742825, `494` = 3.59999333050544,     `495` = 6.16348972719813, `496` = 2.4891599433751, `497` = 2.37034460924193,     `498` = 2.59980779332976, `499` = 2.30071384805534, `500` = 3.07614227765401,     `501` = 2.73259013984369, `502` = 3.25338285299229, `503` = 2.04661688530079,     `504` = 2.119780819561, `505` = 3.11313609957979, `506` = 2.6988744349033,     `507` = 2.38395417253592, `508` = 2.18648950581266, `509` = 2.42837885798354,     `510` = 2.68221147267643, `511` = 2.25428068095068, `512` = 3.75887229099597,     `513` = 2.65473882617471, `514` = 2.69017623822354, `515` = 2.62515548587877,     `516` = 2.34064129442189, `517` = 2.37656062416954, `518` = 3.11073225841166,     `519` = 1.65824952962201, `520` = 3.05076882119208, `521` = 2.50896463090888,     `522` = 2.77691889731644, `523` = 2.48655516799708, `524` = 2.4847705304522,     `525` = 2.83484261483298, `526` = 2.39148791182408, `527` = 3.08293761712995,     `528` = 2.11610089991802, `529` = 1.5441706288409, `530` = 2.29338823560684,     `531` = 2.2357005930668, `532` = 2.00046452981165, `533` = 2.46775766392926,     `534` = 2.37518687841549, `535` = 2.26924539949773, `536` = 2.69708958988384,     `537` = 1.7759969284976, `538` = 2.87932697846107, `539` = 2.51924964421704,     `540` = 2.41448920694114, `541` = 2.73088979297616, `542` = 2.33592937775142,     `543` = 2.42699526496006, `544` = 3.26971833241992, `545` = 3.80927075812981,     `546` = 3.64604939844582, `547` = 1.96050051349709, `548` = 2.37166914445101,     `549` = 2.60110158015077, `550` = 2.19353040701009, `551` = 1.66039378190514,     `552` = 2.81717036355495, `553` = 2.63349707431426, `554` = 2.69710127484472,     `555` = 1.90798875869868, `556` = 2.31371567893383, `557` = 1.77090083956038,     `558` = 2.37391574467976, `559` = 2.50262689711419, `560` = 2.31168914410283,     `561` = 2.22625805533233, `562` = 1.68021749593895, `563` = 2.51377897825149,     `564` = 2.09808172086947, `565` = 3.09578583530429, `566` = 2.19900715901313,     `567` = 1.80979414421884, `568` = 1.78503396884665, `569` = 2.50774132675897,     `570` = 2.49239230729125, `571` = 2.76211802056802, `572` = 2.4495274017885,     `573` = 3.28892969636115, `574` = 3.15211213487484, `575` = 2.92840573999153,     `576` = 2.7042293900111, `577` = 2.94371744049618, `578` = 2.47580774375233,     `579` = 2.92455079876968, `580` = 2.57811464680771, `581` = 2.09501725666443,     `582` = 2.11233201384487, `583` = 2.17435383560045, `584` = 2.36979159264026,     `585` = 2.67342838683219, `586` = 2.56022536590253, `587` = 2.37232436135092,     `588` = 2.27233056465191, `589` = 3.0468428457455, `590` = 2.55069457032584,     `591` = 2.09756322003269, `592` = 2.40306812582161, `593` = 2.45500210452847,     `594` = 2.86907537820904, `595` = 2.60261574773351, `596` = 2.46107520830906,     `597` = 1.85902245529062, `598` = 2.89225570374173, `599` = 2.65436849639519,     `600` = 2.87087714348427, `601` = 3.46886542980082, `602` = 2.68512701414622,     `603` = 2.35003691394945, `604` = 2.14627270516146, `605` = 2.23384069990504,     `606` = 2.26441295743203, `607` = 2.85303023058625, `608` = 2.52519561937849,     `609` = 1.57105260574496, `610` = 2.37037349981258, `611` = 3.04865674785886,     `612` = 2.66980960831409, `613` = 2.26749788061542, `614` = 2.82468867713131,     `615` = 2.3195107615215, `616` = 2.45284107326388, `617` = 2.56240566991253,     `618` = 3.5032340625682, `619` = 2.99012848419003, `620` = 3.69815882893603,     `621` = 2.90806077391049, `622` = 2.69781322229088, `623` = 3.14076048190506,     `624` = 4.49059794128407, `625` = 3.74525948670074, `626` = 2.36112028298741,     `627` = 2.40385272685886, `628` = 2.6893053745018, `629` = 2.3797231366545,     `630` = 2.71343039320212, `631` = 2.24472670443739, `632` = 2.93449351293732,     `633` = 4.64415079258173, `634` = 2.94929885043176, `635` = 2.8726564625836,     `636` = 2.61383490293316, `637` = 3.26153429983134, `638` = 2.47400494380402,     `639` = 3.01176455064242, `640` = 3.49592172694681, `641` = 2.67957734578401,     `642` = 3.17453140868152, `643` = 2.32665270498733, `644` = 2.7575036297423,     `645` = 2.0689328843544, `646` = 2.46785376746714, `647` = 3.32570305967851,     `648` = 0.905248324266446, `649` = 2.50428948117561, `650` = 2.53912900337754,     `651` = 2.3826549275648, `652` = 2.44542191253417, `653` = 2.62469142433065,     `654` = 2.65637163809148, `655` = 2.66860851254179, `656` = 2.38249985819357,     `657` = 2.66226570688936, `658` = 3.3192449193186, `659` = 2.73111344992993,     `660` = 3.04282974391802, `661` = 2.45256085675311, `662` = 2.67768607034304,     `663` = 2.77783018778015, `664` = 2.1579712498587, `665` = 2.37298409942318,     `666` = 3.77862150624116, `667` = 2.11634477584323, `668` = 2.94397684292152,     `669` = 2.36024450269283, `670` = 1.96870553397572, `671` = 1.70461446504352,     `672` = 2.11940451882738, `673` = 1.7263870453371, `674` = 2.08704111428627,     `675` = 2.95687309973058, `676` = 2.37665447487459, `677` = 3.15422627810539,     `678` = 2.49702523812035, `679` = 1.92644836113277, `680` = 2.34875871370472,     `681` = 2.22844659869117, `682` = 2.28679608898358, `683` = 2.62823063420633,     `684` = 2.45143195137904, `685` = 2.8489110203038, `686` = 2.65175935979436,     `687` = 2.88524094060349, `688` = 2.5952722765178, `689` = 2.37231532291548,     `690` = 2.76339467172705, `691` = 2.8873289565435, `692` = 2.30150257336182,     `693` = 2.49468059867389, `694` = 2.9386886921381, `695` = 3.75746997650522,     `696` = 2.66568016818031, `697` = 2.4930667288634, `698` = 3.13380307686093,     `699` = 2.10019517768552, `700` = 2.38255703596884, `701` = 2.86056652465783,     `702` = 2.25938206522155, `703` = 2.89379813499127, `704` = 2.25180330762531,     `705` = 2.65134453007541, `706` = 2.49261895369649, `707` = 2.92482004635633,     `708` = 2.99960795197273, `709` = 2.39534315168548, `710` = 2.80968394898164,     `711` = 1.5365706856904, `712` = 2.36240206475222, `713` = 1.74480446929666,     `714` = 2.69272631893605, `715` = 2.51260627559957, `716` = 2.46876974298805,     `717` = 2.40833157695587, `718` = 3.3687784443709, `719` = 2.5060766692575,     `720` = 3.76322910561409, `721` = 2.68274467180769, `722` = 2.73776984498368,     `723` = 3.20084163854064, `724` = 2.15532930018422, `725` = 2.37168049406483,     `726` = 2.49101118391487, `727` = 2.64893383948362, `728` = 2.55000347491773,     `729` = 2.23662652396895, `730` = 3.20003639165197, `731` = 2.66800696736024,     `732` = 3.05525636675038, `733` = 1.18148846416636, `734` = 3.54271987460358,     `735` = 2.99515813678729, `736` = 2.39151522397183, `737` = 2.38585928232041,     `738` = 3.08656767068624, `739` = 2.61626780552435, `740` = 2.97115704778034,     `741` = 3.03439656895824, `742` = 2.37931601007593, `743` = 2.33883331819551,     `744` = 1.60348696140688, `745` = 1.11688145045703, `746` = 2.57736600422859,     `747` = 2.66802533594202, `748` = 2.26404981534278, `749` = 3.07219106215321,     `750` = 2.77050828138718, `751` = 2.428794530875, `752` = 2.44110931378247,     `753` = 2.99082624009212, `754` = 2.80966642752265, `755` = 2.89406725105139,     `756` = 2.77030884986535, `757` = 4.15811193019416, `758` = 2.57886699953155,     `759` = 2.2280269081183, `760` = 2.23759767417144, `761` = 2.5058665552149,     `762` = 2.35823648366692, `763` = 2.57415384248165, `764` = 3.10240981596749,     `765` = 2.37066373006279, `766` = 1.26531154683944, `767` = 3.17649132143359,     `768` = 2.75939408955155, `769` = 2.92685172692651, `770` = 2.3324407578609,     `771` = 2.65018850565418, `772` = 1.61809174258647, `773` = 2.71163104961438,     `774` = 2.7686205447316, `775` = 2.07510786293649, `776` = 2.19346015793001,     `777` = 3.05666417694624, `778` = 2.61234105858666, `779` = 2.46128612603711,     `780` = 2.74057681523593, `781` = 1.82127812685098, `782` = 2.95877261683777,     `783` = 1.74839601569804, `784` = 1.88235766204648, `785` = 2.82663471616036,     `786` = 3.00464332237119, `787` = 1.84219985532157, `788` = 3.04630071488416,     `789` = 2.83071631673509, `790` = 2.50017115705951, `791` = 2.37261285446862,     `792` = 1.98067493063167, `793` = 2.47455687271204, `794` = 3.62089358349168,     `795` = 1.73327011655719, `796` = 1.99643069057204, `797` = 4.06628378549785,     `798` = 1.90545718313818, `799` = 1.36597756677296, `800` = 2.60145375327965    ), assign = list(`rcs(age, 4)` = 2:4, treat = 5L, sex = 6L,         `rcs(age, 4):treat` = 7:9, `rcs(age, 4):sex` = 10:12,         `treat:sex` = 13L, `rcs(age, 4):treat:sex` = 14:16),     qr = structure(list(qr = structure(c(-28.2842712474619, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 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"333", "334", "335", "336", "337", "338", "339", "340",         "341", "342", "343", "344", "345", "346", "347", "348",         "349", "350", "351", "352", "353", "354", "355", "356",         "357", "358", "359", "360", "361", "362", "363", "364",         "365", "366", "367", "368", "369", "370", "371", "372",         "373", "374", "375", "376", "377", "378", "379", "380",         "381", "382", "383", "384", "385", "386", "387", "388",         "389", "390", "391", "392", "393", "394", "395", "396",         "397", "398", "399", "400", "401", "402", "403", "404",         "405", "406", "407", "408", "409", "410", "411", "412",         "413", "414", "415", "416", "417", "418", "419", "420",         "421", "422", "423", "424", "425", "426", "427", "428",         "429", "430", "431", "432", "433", "434", "435", "436",         "437", "438", "439", "440", "441", "442", "443", "444",         "445", "446", "447", "448", "449", "450", "451", "452",         "453", "454", "455", "456", "457", 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sex=male",         "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",         "age'' * treat=placebo * sex=male"))), qraux = c(1.03535533905933,     1.06138486916177, 1.00204733190792, 1.00055266292105, 1.0290463838589,     1.03789725089091, 1.01648463412155, 1.00068622124879, 1.04076644795546,     1.04618259811035, 1.01988151430044, 1.03809279846412, 1.03661305226105,     1.12551360475444, 1.02472116042532, 1.04703590815754), pivot = 1:16,         tol = 2.22044604925031e-16, rank = 16L), class = "qr"),     df.residual = 784L, var = structure(c(0.836425390502694,     -0.0212848834556598, 0.0512825699211176, -0.184115577200964,     -0.836425390502695, -0.836425390502696, 0.0212848834556598,     -0.0512825699211177, 0.184115577200964, 0.0212848834556598,     -0.0512825699211177, 0.184115577200964, 0.836425390502696,     -0.0212848834556598, 0.0512825699211177, -0.184115577200964,     -0.0212848834556598, 0.000551286595299535, -0.00140546909686742,     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0.00314912019539668,     -0.0117757979020482, -0.0512825699211177, 0.00140546909686742,     -0.00463878381986734, 0.0189439273640901, 0.114344607106148,     0.0512825699211178, -0.00314912019539668, 0.0106133933039199,     -0.043988538139749, -0.00140546909686742, 0.00463878381986734,     -0.0189439273640901, -0.114344607106148, 0.00314912019539668,     -0.0106133933039199, 0.043988538139749, 0.184115577200964,     -0.00515538101632445, 0.0189439273640901, -0.0817449413547494,     -0.419224551439489, -0.184115577200965, 0.0117757979020482,     -0.043988538139749, 0.193194518446538, 0.00515538101632445,     -0.0189439273640901, 0.0817449413547493, 0.41922455143949,     -0.0117757979020482, 0.043988538139749, -0.193194518446538,     0.0212848834556598, -0.000551286595299535, 0.00140546909686742,     -0.00515538101632446, -0.0212848834556598, -0.0571784236329693,     0.000551286595299535, -0.00140546909686742, 0.00515538101632445,     0.00147933596588392, -0.00375673851431083, 0.0138385171219278,     0.0571784236329693, -0.00147933596588392, 0.00375673851431083,     -0.0138385171219278, -0.0512825699211177, 0.00140546909686742,     -0.00463878381986734, 0.0189439273640901, 0.0512825699211177,     0.138187486464013, -0.00140546909686742, 0.00463878381986734,     -0.0189439273640901, -0.00375673851431083, 0.0120057031151827,     -0.0489004666962014, -0.138187486464013, 0.00375673851431082,     -0.0120057031151827, 0.0489004666962014, 0.184115577200964,     -0.00515538101632445, 0.0189439273640901, -0.0817449413547494,     -0.184115577200964, -0.499407405474335, 0.00515538101632445,     -0.0189439273640901, 0.0817449413547493, 0.0138385171219278,     -0.0489004666962014, 0.210101009164533, 0.499407405474335,     -0.0138385171219278, 0.0489004666962014, -0.210101009164533,     0.836425390502696, -0.0212848834556599, 0.0512825699211178,     -0.184115577200965, -1.78217595691818, -2.24452904108481,     0.0457435036357167, -0.114344607106148, 0.41922455143949,     0.0571784236329693, -0.138187486464013, 0.499407405474335,     4.01392907467183, -0.103257489020622, 0.257419561496252,     -0.941267592738115, -0.0212848834556598, 0.000551286595299535,     -0.00140546909686742, 0.00515538101632446, 0.0457435036357167,     0.0571784236329693, -0.00119429035854966, 0.00314912019539668,     -0.0117757979020482, -0.00147933596588392, 0.00375673851431082,     -0.0138385171219278, -0.103257489020622, 0.00270331398813018,     -0.00710766519948597, 0.0265004210700546, 0.0512825699211177,     -0.00140546909686742, 0.00463878381986735, -0.0189439273640902,     -0.114344607106148, -0.138187486464013, 0.00314912019539668,     -0.0106133933039199, 0.043988538139749, 0.00375673851431083,     -0.0120057031151827, 0.0489004666962014, 0.257419561496252,     -0.00710766519948597, 0.0236181254277507, -0.0972117419383224,     -0.184115577200964, 0.00515538101632445, -0.0189439273640901,     0.0817449413547495, 0.419224551439489, 0.499407405474335,     -0.0117757979020482, 0.043988538139749, -0.193194518446538,     -0.0138385171219278, 0.0489004666962014, -0.210101009164533,     -0.941267592738115, 0.0265004210700546, -0.0972117419383224,     0.42226391498444), dim = c(16L, 16L), dimnames = list(c("Intercept",     "age", "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"), c("Intercept", "age",     "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"))), stats = c(n = 800,     `Model L.R.` = 198.733217877431, d.f. = 15, R2 = 0.219965026393617,     g = 0.585082032793052, Sigma = 1.05797963607968), linear.predictors = c(`1` = 1.8273464762968,     `2` = 2.6542796288188, `3` = 2.91235879550687, `4` = 2.62632478687051,     `5` = 2.37478067233776, `6` = 2.57126669833247, `7` = 2.29342830409831,     `8` = 2.91272324756385, `9` = 2.7720149889747, `10` = 2.61802501930452,     `11` = 2.83995582973133, `12` = 3.15822090879926, `13` = 2.7318330139736,     `14` = 0.923092063185215, `15` = 2.35638427355456, `16` = 3.21291450377986,     `17` = 2.85930487738867, `18` = 1.85471780857574, `19` = 2.59507849617468,     `20` = 2.77516156003148, `21` = 2.37468336722965, `22` = 2.94734075955842,     `23` = 2.71890305200674, `24` = 2.56690580859943, `25` = 2.62312595210793,     `26` = 2.69985921118831, `27` = 2.46142105713551, `28` = 4.81182749551602,     `29` = 1.78100545234006, `30` = 2.51087836642562, `31` = 2.18383381057564,     `32` = 3.12042045378319, `33` = 2.962998524365, `34` = 2.17134047276968,     `35` = 2.49370220032693, `36` = 2.95708295768924, `37` = 4.12990022922827,     `38` = 2.68438147115392, `39` = 2.20205567454462, `40` = 1.89621933065192,     `41` = 3.17300922223564, `42` = 1.36495515601018, `43` = 4.9162768756297,     `44` = 2.34843367978997, `45` = 2.2828688390031, `46` = 2.47656065356765,     `47` = 3.35155981290649, `48` = 2.68466198933939, `49` = 1.72312215469336,     `50` = 2.5545423995087, `51` = 2.75451955418949, `52` = 2.82193431350933,     `53` = 2.40214416391366, `54` = 0.959203672924118, `55` = 2.43423806672798,     `56` = 2.38707792981996, `57` = 2.37029134741965, `58` = 2.24561426606161,     `59` = 2.30349409111093, `60` = 2.43894245579633, `61` = 2.82061452685481,     `62` = 3.40279330285509, `63` = 2.02110598950698, `64` = 2.43980467959036,     `65` = 2.55818586752441, `66` = 3.81749524286754, `67` = 2.55797249452663,     `68` = 1.86026293864306, `69` = 2.64852423658387, `70` = 2.39078281119623,     `71` = 4.20728393693173, `72` = 2.73321470694733, `73` = 2.13299125795756,     `74` = 2.40078521835743, `75` = 2.38732388647639, `76` = 2.48663441342883,     `77` = 2.48319236767406, `78` = 3.33474920590903, `79` = 2.72652344572814,     `80` = 2.502890404923, `81` = 2.38653230290044, `82` = 2.81510053286542,     `83` = 2.48414658771294, `84` = 2.62268592379984, `85` = 3.0651368477459,     `86` = 3.15791582696985, `87` = 2.24559620887642, `88` = 3.13179459683268,     `89` = 1.97357557764259, `90` = 2.77282308095323, `91` = 2.74016188199839,     `92` = 2.45176950529484, `93` = 3.32531928953431, `94` = 2.19751752606572,     `95` = 2.72674714579747, `96` = 2.42192340543888, `97` = 1.93076371222272,     `98` = 3.62929473538996, `99` = 1.35369434987869, `100` = 2.2547370962648,     `101` = 1.94409001325824, `102` = 2.62880112621963, `103` = 2.77137140917496,     `104` = 1.95738338715501, `105` = 2.72049174848199, `106` = 2.40243453220378,     `107` = 3.09735812074682, `108` = 2.75153859240597, `109` = 2.7634794003779,     `110` = 2.05813014540498, `111` = 2.65985862884668, `112` = 2.46522299246837,     `113` = 1.5703781919029, `114` = 2.69035917134868, `115` = 4.20861430662284,     `116` = 2.37125443702692, `117` = 2.36705613621479, `118` = 2.85308469084743,     `119` = 2.5415194010717, `120` = 3.15710460382206, `121` = 2.77865444148754,     `122` = 3.2954859943684, `123` = 2.70726046586218, `124` = 2.42473855283583,     `125` = 2.75546009888392, `126` = 1.93535012472394, `127` = 2.21956899382337,     `128` = 2.48911632772296, `129` = 2.93859012435979, `130` = 2.5501671026405,     `131` = 2.86395308616895, `132` = 2.9325665637652, `133` = 2.49741866101599,     `134` = 1.15477002080841, `135` = 2.85906509967744, `136` = 3.21480202919142,     `137` = 2.64844922449584, `138` = 1.81624171593204, `139` = 2.50256109585425,     `140` = 2.06026174870399, `141` = 2.41347967088569, `142` = 2.82647702488726,     `143` = 3.28776560599656, `144` = 2.74957705273186, `145` = 2.06055571226601,     `146` = 3.23783901748259, `147` = 3.0579009438373, `148` = 3.23597166652999,     `149` = 2.21636165136686, `150` = 2.77037519109151, `151` = 3.14335945231959,     `152` = 2.39156945942855, `153` = 2.78704915422625, `154` = 2.63941496646989,     `155` = 2.58610032037074, `156` = 2.70144690395644, `157` = 2.90426129456847,     `158` = 2.88420138031662, `159` = 2.39479076403391, `160` = 2.80509075142565,     `161` = 2.37161390962301, `162` = 2.41992065646662, `163` = 2.9052094221091,     `164` = 3.22550263914549, `165` = 1.73315464210068, `166` = 2.43142907624064,     `167` = 3.87849162526757, `168` = 1.08194647347416, `169` = 2.84365960719609,     `170` = 2.31147636681322, `171` = 2.76523847380424, `172` = 2.88117058586849,     `173` = 2.04732981907891, `174` = 2.07915665869094, `175` = 3.08110988123108,     `176` = 2.04592349294163, `177` = 2.56700092604082, `178` = 2.77907881429002,     `179` = 3.17846678411757, `180` = 2.65038681640476, `181` = 2.92913414157109,     `182` = 2.63780063630832, `183` = 2.45550173098484, `184` = 2.78684913414774,     `185` = 2.60955074916775, `186` = 2.67430224080449, `187` = 2.3114710982275,     `188` = 2.41392007655519, `189` = 2.85514775159917, `190` = 2.82657039075926,     `191` = 2.27203654778748, `192` = 2.37030879867869, `193` = 2.78189657176958,     `194` = 3.01888613570589, `195` = 2.66860452934713, `196` = 2.5229466489951,     `197` = 1.96437460612657, `198` = 2.29586715480886, `199` = 2.53040196702745,     `200` = 2.17979970489295, `201` = 2.99968367627667, `202` = 2.99303164445703,     `203` = 2.09396489715103, `204` = 2.63747526906564, `205` = 2.63430036234606,     `206` = 1.62346827950003, `207` = 2.86309558489206, `208` = 1.26999728769122,     `209` = 1.72020445809491, `210` = 2.91311906510036, `211` = 2.43319556057215,     `212` = 2.39109250097856, `213` = 1.6492458519465, `214` = 1.99197336957605,     `215` = 2.55334196204763, `216` = 2.41675268048625, `217` = 2.4118017030696,     `218` = 1.82904370247393, `219` = 1.96972936169113, `220` = 4.48347814044753,     `221` = 2.43357782876622, `222` = 2.88429652654287, `223` = 3.21160807310651,     `224` = 2.85022603796191, `225` = 2.52882699909125, `226` = 2.0957307798493,     `227` = 1.87895581468756, `228` = 3.18065900342439, `229` = 2.47307935938645,     `230` = 2.78536931497109, `231` = 2.19076727042225, `232` = 2.41128760676261,     `233` = 2.37131981545313, `234` = 2.55303760371157, `235` = 2.9199693414722,     `236` = 2.60397022793523, `237` = 2.35726095482352, `238` = 2.87899977284871,     `239` = 3.13468726875723, `240` = 2.58696063484866, `241` = 2.93480037321797,     `242` = 2.52196476517132, `243` = 2.23386570374798, `244` = 1.93400574589039,     `245` = 4.36159183616138, `246` = 3.30181888171832, `247` = 2.87275271626973,     `248` = 2.68680493967785, `249` = 2.9472147026804, `250` = 2.67701679026062,     `251` = 2.43874412812383, `252` = 2.69832522750769, `253` = 2.39815127697227,     `254` = 3.27416880961077, `255` = 2.89420394072003, `256` = 2.46206595690653,     `257` = 3.02161363337767, `258` = 2.37253590878611, `259` = 3.14803716395551,     `260` = 2.30477591805902, `261` = 1.20593814723825, `262` = 3.06200642364828,     `263` = 2.99889777179038, `264` = 2.14282555354455, `265` = 2.01335804244271,     `266` = 1.32272589615639, `267` = 2.45487059993715, `268` = 1.51492463330488,     `269` = 2.31193380003934, `270` = 2.69797296272068, `271` = 3.27746164011552,     `272` = 2.37320371671454, `273` = 2.44765266363073, `274` = 2.76426830101752,     `275` = 3.14991474578698, `276` = 1.91281943159906, `277` = 1.47871083226282,     `278` = 2.66139783025367, `279` = 3.0068312744844, `280` = 2.40803144249423,     `281` = 3.19967771868625, `282` = 2.38442996368075, `283` = 2.74742751208274,     `284` = 2.74151591243007, `285` = 2.53430303102901, `286` = 2.13304771295534,     `287` = 3.03502047926305, `288` = 2.40927804101479, `289` = 2.84449715484632,     `290` = 2.69872269248432, `291` = 4.2167466822975, `292` = 2.86134949044519,     `293` = 2.3240990316239, `294` = 2.58529458327362, `295` = 2.589177826791,     `296` = 1.65132282111858, `297` = 4.12860304687622, `298` = 2.9788838201833,     `299` = 2.03941888516452, `300` = 2.74426480590544, `301` = 2.70375821808304,     `302` = 2.42445684795484, `303` = 3.91189357427476, `304` = 2.46328928597437,     `305` = 2.71213347425702, `306` = 2.75078140564015, `307` = 2.39519608769782,     `308` = 1.97652601737173, `309` = 2.49237836450657, `310` = 3.02437447193905,     `311` = 2.63718302354101, `312` = 2.85937900798305, `313` = 2.54616629469414,     `314` = 2.7903511279751, `315` = 1.61496522808629, `316` = 2.84844468900093,     `317` = 2.37133176406135, `318` = 2.2342212333381, `319` = 2.39493857884649,     `320` = 1.88745641232398, `321` = 2.39649029076404, `322` = 2.25072436441753,     `323` = 2.36943155133288, `324` = 2.42743673231805, `325` = 2.97791930992207,     `326` = 2.09234168848051, `327` = 2.36240634177489, `328` = 1.1105791288804,     `329` = 2.37013324391512, `330` = 2.26471337954389, `331` = 3.05444517174529,     `332` = 2.38980742161709, `333` = 2.37786232477323, `334` = 1.78990970602347,     `335` = 2.70944370588652, `336` = 3.5683141888971, `337` = 2.44134246962534,     `338` = 2.25972174620225, `339` = 3.00918859646008, `340` = 2.18586223684944,     `341` = 2.74330408539129, `342` = 2.86867416819939, `343` = 2.06826131293291,     `344` = 3.63151763911666, `345` = 2.85886713213127, `346` = 2.21985116812454,     `347` = 2.3815434508579, `348` = 2.41350923720854, `349` = 2.89843556037318,     `350` = 2.23898268719741, `351` = 1.29584077798455, `352` = 2.51159663534582,     `353` = 2.85257238541717, `354` = 1.77903202336168, `355` = 2.55028022270778,     `356` = 2.44782824590644, `357` = 2.46271608796213, `358` = 2.51685373998414,     `359` = 2.41583566834669, `360` = 2.3728907565472, `361` = 2.369454773508,     `362` = 3.29250303236263, `363` = 2.66285306254625, `364` = 2.49029698546202,     `365` = 1.05306070502084, `366` = 1.86455368138798, `367` = 2.88031132181863,     `368` = 2.30036007798452, `369` = 2.11837578996616, `370` = 2.40083223927156,     `371` = 2.29153752579909, `372` = 2.44953094562367, `373` = 2.62721713144288,     `374` = 3.9441196218975, `375` = 2.9557674025679, `376` = 3.66113529407979,     `377` = 2.32038023868864, `378` = 2.87211440331623, `379` = 2.39293831188164,     `380` = 2.51344798573844, `381` = 4.63994090353258, `382` = 2.42205148785717,     `383` = 2.33462597983624, `384` = 2.23050814284012, `385` = 2.88331664462298,     `386` = 4.55690943309283, `387` = 2.58261047793064, `388` = 2.54193081869031,     `389` = 4.52295683194619, `390` = 2.14060027084606, `391` = 2.99869748680244,     `392` = 2.26250701192594, `393` = 2.01249031809818, `394` = 2.97085385284773,     `395` = 2.64468402413129, `396` = 2.33395576477012, `397` = 2.63502066231726,     `398` = 2.24915693049968, `399` = 2.58574738517705, `400` = 2.3716272899945,     `401` = 1.69024305202187, `402` = 3.19926868492288, `403` = 1.77606477443688,     `404` = 1.64318193529478, `405` = 2.83237040517646, `406` = 2.88901243357697,     `407` = 2.40363001910485, `408` = 2.56124257441973, `409` = 3.15661085878286,     `410` = 3.01754450476663, `411` = 1.66908846281502, `412` = 3.04638461915898,     `413` = 2.4902496498083, `414` = 2.32355269847258, `415` = 3.20708965017669,     `416` = 2.94047492110776, `417` = 3.039308895143, `418` = 2.4463121970276,     `419` = 2.85372829272876, `420` = 2.52921117908114, `421` = 2.20126381165548,     `422` = 3.67012958834098, `423` = 2.67998235983964, `424` = 2.48875766442306,     `425` = 2.98395742646305, `426` = 2.86885943428284, `427` = 2.36948098545145,     `428` = 2.41007394201668, `429` = 3.32665939652036, `430` = 2.60667304612803,     `431` = 2.3375066389785, `432` = 3.1650659263681, `433` = 2.87830655726086,     `434` = 2.24977346407656, `435` = 2.41284105666922, `436` = 2.87304300931647,     `437` = 2.46339398769293, `438` = 2.94459097140992, `439` = 2.44625020909451,     `440` = 1.88518695389097, `441` = 2.63410511427251, `442` = 3.31221841531284,     `443` = 1.75003520014887, `444` = 2.03294189166507, `445` = 1.66007689915753,     `446` = 2.29814525739876, `447` = 3.06648380940822, `448` = 2.57970479276396,     `449` = 2.36683669531664, `450` = 2.4670869173179, `451` = 2.44602851362862,     `452` = 3.45053339543596, `453` = 3.28071687825047, `454` = 3.04908277183995,     `455` = 2.37763546512344, `456` = 2.26398601372506, `457` = 2.692748575164,     `458` = 2.62690602442052, `459` = 2.71352920569489, `460` = 2.47429183434904,     `461` = 2.4039247810575, `462` = 1.93412621996201, `463` = 2.38480340226842,     `464` = 2.07063510996225, `465` = 2.40690117392684, `466` = 2.42420000654002,     `467` = 2.81475506919669, `468` = 2.20640905191678, `469` = 2.37632831310256,     `470` = 3.53490867501887, `471` = 3.41002468731006, `472` = 2.75092976639121,     `473` = 3.09480651714885, `474` = 1.90007305083701, `475` = 3.2296327868531,     `476` = 3.02534506485739, `477` = 2.53398829371899, `478` = 2.82791722535193,     `479` = 2.55583773830625, `480` = 2.59402715530063, `481` = 1.6781326990062,     `482` = 2.87293840540908, `483` = 4.03969129126323, `484` = 3.19450816106775,     `485` = 2.68239952858409, `486` = 2.39405541049845, `487` = 2.71100128720999,     `488` = 3.00282156550285, `489` = 3.40302266876215, `490` = 2.88352616157181,     `491` = 3.52856064048011, `492` = 2.62144967861979, `493` = 2.77538989742825,     `494` = 3.59999333050544, `495` = 6.16348972719813, `496` = 2.4891599433751,     `497` = 2.37034460924193, `498` = 2.59980779332976, `499` = 2.30071384805534,     `500` = 3.07614227765401, `501` = 2.73259013984369, `502` = 3.25338285299229,     `503` = 2.04661688530079, `504` = 2.119780819561, `505` = 3.11313609957979,     `506` = 2.6988744349033, `507` = 2.38395417253592, `508` = 2.18648950581266,     `509` = 2.42837885798354, `510` = 2.68221147267643, `511` = 2.25428068095068,     `512` = 3.75887229099597, `513` = 2.65473882617471, `514` = 2.69017623822354,     `515` = 2.62515548587877, `516` = 2.34064129442189, `517` = 2.37656062416954,     `518` = 3.11073225841166, `519` = 1.65824952962201, `520` = 3.05076882119208,     `521` = 2.50896463090888, `522` = 2.77691889731644, `523` = 2.48655516799708,     `524` = 2.4847705304522, `525` = 2.83484261483298, `526` = 2.39148791182408,     `527` = 3.08293761712995, `528` = 2.11610089991802, `529` = 1.5441706288409,     `530` = 2.29338823560684, `531` = 2.2357005930668, `532` = 2.00046452981165,     `533` = 2.46775766392926, `534` = 2.37518687841549, `535` = 2.26924539949773,     `536` = 2.69708958988384, `537` = 1.7759969284976, `538` = 2.87932697846107,     `539` = 2.51924964421704, `540` = 2.41448920694114, `541` = 2.73088979297616,     `542` = 2.33592937775142, `543` = 2.42699526496006, `544` = 3.26971833241992,     `545` = 3.80927075812981, `546` = 3.64604939844582, `547` = 1.96050051349709,     `548` = 2.37166914445101, `549` = 2.60110158015077, `550` = 2.19353040701009,     `551` = 1.66039378190514, `552` = 2.81717036355495, `553` = 2.63349707431426,     `554` = 2.69710127484472, `555` = 1.90798875869868, `556` = 2.31371567893383,     `557` = 1.77090083956038, `558` = 2.37391574467976, `559` = 2.50262689711419,     `560` = 2.31168914410283, `561` = 2.22625805533233, `562` = 1.68021749593895,     `563` = 2.51377897825149, `564` = 2.09808172086947, `565` = 3.09578583530429,     `566` = 2.19900715901313, `567` = 1.80979414421884, `568` = 1.78503396884665,     `569` = 2.50774132675897, `570` = 2.49239230729125, `571` = 2.76211802056802,     `572` = 2.4495274017885, `573` = 3.28892969636115, `574` = 3.15211213487484,     `575` = 2.92840573999153, `576` = 2.7042293900111, `577` = 2.94371744049618,     `578` = 2.47580774375233, `579` = 2.92455079876968, `580` = 2.57811464680771,     `581` = 2.09501725666443, `582` = 2.11233201384487, `583` = 2.17435383560045,     `584` = 2.36979159264026, `585` = 2.67342838683219, `586` = 2.56022536590253,     `587` = 2.37232436135092, `588` = 2.27233056465191, `589` = 3.0468428457455,     `590` = 2.55069457032584, `591` = 2.09756322003269, `592` = 2.40306812582161,     `593` = 2.45500210452847, `594` = 2.86907537820904, `595` = 2.60261574773351,     `596` = 2.46107520830906, `597` = 1.85902245529062, `598` = 2.89225570374173,     `599` = 2.65436849639519, `600` = 2.87087714348427, `601` = 3.46886542980082,     `602` = 2.68512701414622, `603` = 2.35003691394945, `604` = 2.14627270516146,     `605` = 2.23384069990504, `606` = 2.26441295743203, `607` = 2.85303023058625,     `608` = 2.52519561937849, `609` = 1.57105260574496, `610` = 2.37037349981258,     `611` = 3.04865674785886, `612` = 2.66980960831409, `613` = 2.26749788061542,     `614` = 2.82468867713131, `615` = 2.3195107615215, `616` = 2.45284107326388,     `617` = 2.56240566991253, `618` = 3.5032340625682, `619` = 2.99012848419003,     `620` = 3.69815882893603, `621` = 2.90806077391049, `622` = 2.69781322229088,     `623` = 3.14076048190506, `624` = 4.49059794128407, `625` = 3.74525948670074,     `626` = 2.36112028298741, `627` = 2.40385272685886, `628` = 2.6893053745018,     `629` = 2.3797231366545, `630` = 2.71343039320212, `631` = 2.24472670443739,     `632` = 2.93449351293732, `633` = 4.64415079258173, `634` = 2.94929885043176,     `635` = 2.8726564625836, `636` = 2.61383490293316, `637` = 3.26153429983134,     `638` = 2.47400494380402, `639` = 3.01176455064242, `640` = 3.49592172694681,     `641` = 2.67957734578401, `642` = 3.17453140868152, `643` = 2.32665270498733,     `644` = 2.7575036297423, `645` = 2.0689328843544, `646` = 2.46785376746714,     `647` = 3.32570305967851, `648` = 0.905248324266446, `649` = 2.50428948117561,     `650` = 2.53912900337754, `651` = 2.3826549275648, `652` = 2.44542191253417,     `653` = 2.62469142433065, `654` = 2.65637163809148, `655` = 2.66860851254179,     `656` = 2.38249985819357, `657` = 2.66226570688936, `658` = 3.3192449193186,     `659` = 2.73111344992993, `660` = 3.04282974391802, `661` = 2.45256085675311,     `662` = 2.67768607034304, `663` = 2.77783018778015, `664` = 2.1579712498587,     `665` = 2.37298409942318, `666` = 3.77862150624116, `667` = 2.11634477584323,     `668` = 2.94397684292152, `669` = 2.36024450269283, `670` = 1.96870553397572,     `671` = 1.70461446504352, `672` = 2.11940451882738, `673` = 1.7263870453371,     `674` = 2.08704111428627, `675` = 2.95687309973058, `676` = 2.37665447487459,     `677` = 3.15422627810539, `678` = 2.49702523812035, `679` = 1.92644836113277,     `680` = 2.34875871370472, `681` = 2.22844659869117, `682` = 2.28679608898358,     `683` = 2.62823063420633, `684` = 2.45143195137904, `685` = 2.8489110203038,     `686` = 2.65175935979436, `687` = 2.88524094060349, `688` = 2.5952722765178,     `689` = 2.37231532291548, `690` = 2.76339467172705, `691` = 2.8873289565435,     `692` = 2.30150257336182, `693` = 2.49468059867389, `694` = 2.9386886921381,     `695` = 3.75746997650522, `696` = 2.66568016818031, `697` = 2.4930667288634,     `698` = 3.13380307686093, `699` = 2.10019517768552, `700` = 2.38255703596884,     `701` = 2.86056652465783, `702` = 2.25938206522155, `703` = 2.89379813499127,     `704` = 2.25180330762531, `705` = 2.65134453007541, `706` = 2.49261895369649,     `707` = 2.92482004635633, `708` = 2.99960795197273, `709` = 2.39534315168548,     `710` = 2.80968394898164, `711` = 1.5365706856904, `712` = 2.36240206475222,     `713` = 1.74480446929666, `714` = 2.69272631893605, `715` = 2.51260627559957,     `716` = 2.46876974298805, `717` = 2.40833157695587, `718` = 3.3687784443709,     `719` = 2.5060766692575, `720` = 3.76322910561409, `721` = 2.68274467180769,     `722` = 2.73776984498368, `723` = 3.20084163854064, `724` = 2.15532930018422,     `725` = 2.37168049406483, `726` = 2.49101118391487, `727` = 2.64893383948362,     `728` = 2.55000347491773, `729` = 2.23662652396895, `730` = 3.20003639165197,     `731` = 2.66800696736024, `732` = 3.05525636675038, `733` = 1.18148846416636,     `734` = 3.54271987460358, `735` = 2.99515813678729, `736` = 2.39151522397183,     `737` = 2.38585928232041, `738` = 3.08656767068624, `739` = 2.61626780552435,     `740` = 2.97115704778034, `741` = 3.03439656895824, `742` = 2.37931601007593,     `743` = 2.33883331819551, `744` = 1.60348696140688, `745` = 1.11688145045703,     `746` = 2.57736600422859, `747` = 2.66802533594202, `748` = 2.26404981534278,     `749` = 3.07219106215321, `750` = 2.77050828138718, `751` = 2.428794530875,     `752` = 2.44110931378247, `753` = 2.99082624009212, `754` = 2.80966642752265,     `755` = 2.89406725105139, `756` = 2.77030884986535, `757` = 4.15811193019416,     `758` = 2.57886699953155, `759` = 2.2280269081183, `760` = 2.23759767417144,     `761` = 2.5058665552149, `762` = 2.35823648366692, `763` = 2.57415384248165,     `764` = 3.10240981596749, `765` = 2.37066373006279, `766` = 1.26531154683944,     `767` = 3.17649132143359, `768` = 2.75939408955155, `769` = 2.92685172692651,     `770` = 2.3324407578609, `771` = 2.65018850565418, `772` = 1.61809174258647,     `773` = 2.71163104961438, `774` = 2.7686205447316, `775` = 2.07510786293649,     `776` = 2.19346015793001, `777` = 3.05666417694624, `778` = 2.61234105858666,     `779` = 2.46128612603711, `780` = 2.74057681523593, `781` = 1.82127812685098,     `782` = 2.95877261683777, `783` = 1.74839601569804, `784` = 1.88235766204648,     `785` = 2.82663471616036, `786` = 3.00464332237119, `787` = 1.84219985532157,     `788` = 3.04630071488416, `789` = 2.83071631673509, `790` = 2.50017115705951,     `791` = 2.37261285446862, `792` = 1.98067493063167, `793` = 2.47455687271204,     `794` = 3.62089358349168, `795` = 1.73327011655719, `796` = 1.99643069057204,     `797` = 4.06628378549785, `798` = 1.90545718313818, `799` = 1.36597756677296,     `800` = 2.60145375327965), call = ols(formula = y ~ rcs(age,         4) * treat * sex), terms = y ~ rcs(age, 4) * treat *         sex, Design = list(name = c("age", "treat", "sex", "age * treat",     "age * sex", "treat * sex", "age * treat * sex"), label = c("age",     "treat", "sex", "age * treat", "age * sex", "treat * sex",     "age * treat * sex"), units = c(age = "", treat = "", sex = ""    ), colnames = c("age", "age'", "age''", "treat=placebo",     "sex=male", "age * treat=placebo", "age' * treat=placebo",     "age'' * treat=placebo", "age * sex=male", "age' * sex=male",     "age'' * sex=male", "treat=placebo * sex=male", "age * treat=placebo * sex=male",     "age' * treat=placebo * sex=male", "age'' * treat=placebo * sex=male"    ), mmcolnames = c("rcs(age, 4)age", "rcs(age, 4)age'", "rcs(age, 4)age''",     "treatplacebo", "sexmale", "rcs(age, 4)age:treatplacebo",     "rcs(age, 4)age':treatplacebo", "rcs(age, 4)age'':treatplacebo",     "rcs(age, 4)age:sexmale", "rcs(age, 4)age':sexmale", "rcs(age, 4)age'':sexmale",     "treatplacebo:sexmale", "rcs(age, 4)age:treatplacebo:sexmale",     "rcs(age, 4)age':treatplacebo:sexmale", "rcs(age, 4)age'':treatplacebo:sexmale"    ), assume = c("rcspline", "category", "category", "interaction",     "interaction", "interaction", "interaction"), assume.code = c(4L,     5L, 5L, 9L, 9L, 9L, 9L), parms = list(age = c(33.006063739913,     46.0450788298244, 53.6005047434426, 67.3753079336887), treat = c("drug",     "placebo"), sex = c("female", "male"), `age * treat` = structure(c(1,     2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `age * sex` = structure(c(1,     3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `treat * sex` = structure(c(2,     3, 0, 0, 0, 0), dim = 3:2, dimnames = list(NULL, c("parms",     ""))), `age * treat * sex` = structure(c(1L, 2L, 3L, 0L,     0L, 0L, 1L, 0L, 0L, 1L, 0L, 0L), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", "")))), limits = list(), values = list(),         nonlinear = list(age = c(FALSE, TRUE, TRUE), treat = FALSE,             sex = FALSE, `age * treat` = c(FALSE, TRUE, TRUE),             `age * sex` = c(FALSE, TRUE, TRUE), `treat * sex` = FALSE,             `age * treat * sex` = c(FALSE, TRUE, TRUE)), tex = list(),         interactions = structure(c(1, 2, 0, 1, 3, 0, 2, 3, 0,         1, 2, 3), dim = 3:4)), non.slopes = 1, na.action = NULL,     scale.pred = "y", fail = FALSE, sformula = y ~ rcs(age, 4) *         treat * sex), class = c("ols", "rms", "lm")), factors = list(    x1 = 0), expand = TRUE): factor(s) not in design: x1

# All contrasts were redundant except for the first, because of
# linearity assumption

f <- lrm(y>0 ~ pol(x1,3) + x2, x=TRUE, y=TRUE)
#> Error in Design(data, formula = formula): dataset dd not found for options(datadist=)
anova(f)
#> Warning: tests of nonlinear interaction with respect to single component 
#> variables ignore 3-way interactions
#>                 Analysis of Variance          Response: y 
#> 
#>  Factor                                           d.f. Partial SS MS    F    
#>  age  (Factor+Higher Order Factors)                12  221.75     18.48 16.51
#>   All Interactions                                  9   32.75      3.64  3.25
#>   Nonlinear (Factor+Higher Order Factors)           8   33.38      4.17  3.73
#>  treat  (Factor+Higher Order Factors)               8   29.35      3.67  3.28
#>   All Interactions                                  7   25.69      3.67  3.28
#>  sex  (Factor+Higher Order Factors)                 8   44.94      5.62  5.02
#>   All Interactions                                  7   38.59      5.51  4.93
#>  age * treat  (Factor+Higher Order Factors)         6   13.53      2.26  2.02
#>   Nonlinear (Factor+Higher Order Factors)           4    9.73      2.43  2.17
#>   Nonlinear Interaction : f(A,B) vs. AB             2    9.47      4.74  4.23
#>  age * sex  (Factor+Higher Order Factors)           6   24.86      4.14  3.70
#>   Nonlinear (Factor+Higher Order Factors)           4   21.31      5.33  4.76
#>   Nonlinear Interaction : f(A,B) vs. AB             2   18.82      9.41  8.41
#>  treat * sex  (Factor+Higher Order Factors)         4   21.54      5.38  4.81
#>  age * treat * sex  (Factor+Higher Order Factors)   3    8.26      2.75  2.46
#>   Nonlinear                                         2    4.92      2.46  2.20
#>  TOTAL NONLINEAR                                    8   33.38      4.17  3.73
#>  TOTAL INTERACTION                                 10   44.92      4.49  4.01
#>  TOTAL NONLINEAR + INTERACTION                     12   50.10      4.18  3.73
#>  REGRESSION                                        15  247.46     16.50 14.74
#>  ERROR                                            784  877.55      1.12      
#>  P     
#>  <.0001
#>  0.0007
#>  0.0003
#>  0.0011
#>  0.0019
#>  <.0001
#>  <.0001
#>  0.0613
#>  0.0703
#>  0.0149
#>  0.0012
#>  0.0008
#>  0.0002
#>  0.0008
#>  0.0617
#>  0.1119
#>  0.0003
#>  <.0001
#>  <.0001
#>  <.0001
#>        
anova(f, test='LR')   # discrepancy with Wald statistics points out a problem w/them
#> Error in anova.rms(f, test = "LR"): must specify x=TRUE, y=TRUE when fitting model to use LR test

contrast(f, list(x1=0), list(x1=xs), type='joint')
#> Error in gendata(structure(list(coefficients = c(Intercept = 3.81130652398641, age = -0.0364542267418386, `age'` = 0.148834151508506, `age''` = -0.308632674204754, `treat=placebo` = -4.30283998912834, `sex=male` = -4.63346348145351, `age * treat=placebo` = 0.0998279739052187, `age' * treat=placebo` = -0.213913393443712, `age'' * treat=placebo` = 0.67409687853917, `age * sex=male` = 0.104212923375674, `age' * sex=male` = -0.158890866453074, `age'' * sex=male` = 0.246292360607691, `treat=placebo * sex=male` = 5.22560180935418, `age * treat=placebo * sex=male` = -0.114281894990881, `age' * treat=placebo * sex=male` = 0.190288298144725, `age'' * treat=placebo * sex=male` = -0.531569263503839), residuals = c(`1` = 0.473393142582745, `2` = -0.141559791486677, `3` = -0.788168025049547, `4` = 0.21054460675534, `5` = -0.052168426620235, `6` = 0.761192562957081, `7` = 0.294525427210084, `8` = 0.778992893373488, `9` = 0.417287271554842, `10` = 0.290026003424354, `11` = 0.77328492180143, `12` = -2.21856076335012, `13` = 0.620135735603211, `14` = -0.982486976113407, `15` = 0.389096872806126, `16` = 1.59165472133739, `17` = -0.409213518976697, `18` = -1.01752036715792, `19` = -0.181346995214259, `20` = 1.55581748864713, `21` = 0.139346338170896, `22` = 0.182066734033289, `23` = -0.618424389312127, `24` = -0.554081714108963, `25` = -0.171166590200338, `26` = -1.62301559024683, `27` = 1.27268310855217, `28` = -0.297789023228669, `29` = -1.9880106628626, `30` = -0.0368175155551034, `31` = -0.196960382730091, `32` = -1.51235368602801, `33` = 2.09241307495163, `34` = -1.07041636223387, `35` = -1.24454134745706, `36` = 0.576950328441049, `37` = 0.521488615375679, `38` = -0.229134628183383, `39` = 0.00400141112061388, `40` = -0.990190237387313, `41` = 1.2851274365228, `42` = 0.412589547973587, `43` = -0.787399977989638, `44` = 0.769006437456616, `45` = 0.988895426233647, `46` = -0.630295684848831, `47` = 0.562724155069554, `48` = -1.02269815967957, `49` = 2.02836178241615, `50` = 0.578962554814852, `51` = -0.0651227409029367, `52` = -0.482601584661845, `53` = -0.122710775094478, `54` = -0.745924474389847, `55` = 0.129232404629066, `56` = 0.69644800326718, `57` = -0.383650193614412, `58` = -1.03505602134916, `59` = -1.63181622155276, `60` = 0.629963250715442, `61` = 0.411215136470065, `62` = -0.127687518348258, `63` = -0.469469751114936, `64` = 0.318556449350774, `65` = -1.25267393092262, `66` = -1.39145828713222, `67` = -1.50318216737249, `68` = -0.570988109041285, `69` = 0.758112000717413, `70` = 0.764329699642486, `71` = -0.499944600769316, `72` = 1.3565106792036, `73` = -1.09027293012492, `74` = -0.393603041309807, `75` = -0.620376160132382, `76` = 0.265615235504436, `77` = -1.6461764280938, `78` = 1.2659298679682, `79` = 1.14059651838309, `80` = 0.791415273046844, `81` = 0.0314759530563674, `82` = 1.15851435544224, `83` = 0.471405507875407, `84` = 0.927581672841119, `85` = 0.164476032654289, `86` = 0.510352863388586, `87` = -2.33584512359756, `88` = -0.34780227924363, `89` = 1.10708324238512, `90` = 0.094798752715391, `91` = -1.23649875869111, `92` = -0.910146298085997, `93` = -0.683990253631276, `94` = 2.09490238568856, `95` = -0.0760714931017753, `96` = -0.573286663753271, `97` = -1.98908763334468, `98` = -1.81647642962243, `99` = 1.32438574368848, `100` = -0.86903377235127, `101` = 1.40641158624571, `102` = -0.360743393233509, `103` = -2.33335838717408, `104` = 2.17624702802662, `105` = -0.977495246805378, `106` = -0.408795499563846, `107` = 0.157762335504203, `108` = -0.133874450719822, `109` = -1.4245090565002, `110` = -1.53795672784485, `111` = 1.28342330422267, `112` = -0.905054646526503, `113` = 1.02311908315981, `114` = 1.67008317138642, `115` = -0.71401825217723, `116` = -0.578153505698901, `117` = -1.95986738456425, `118` = 1.89141370855209, `119` = -0.779653582026061, `120` = -0.0632922274198554, `121` = -1.27400237607834, `122` = 1.10713913145023, `123` = 1.57817020329863, `124` = 0.302648894059498, `125` = -0.44530813884912, `126` = -1.56720865277409, `127` = 1.26760092041906, `128` = 0.702371105475438, `129` = -0.0126092509352822, `130` = 1.3261327498269, `131` = 1.34157201563317, `132` = -0.437113083384821, `133` = -1.22319240883817, `134` = 1.10738117649282, `135` = 0.732099554148857, `136` = -0.131637260437666, `137` = 3.03471394221772, `138` = -2.54280583571282, `139` = -0.194474563460366, `140` = 1.11126010268969, `141` = 1.54804718702491, `142` = 0.987423986854891, `143` = 0.2270208340922, `144` = 0.774506729389174, `145` = 0.530040440803476, `146` = 0.0480187567561099, `147` = -0.760816625072516, `148` = 1.60621319216395, `149` = -0.314437680874743, `150` = -0.327722008888805, `151` = 0.206624190196415, `152` = 0.0617307906368444, `153` = -2.00040383856708, `154` = -0.458530949692246, `155` = 0.458977472470989, `156` = 1.19787630775429, `157` = -1.19270271783315, `158` = -0.625978129815824, `159` = -2.33795700121927, `160` = 0.69145784309282, `161` = 0.133499618785992, `162` = 0.861126548699294, `163` = -0.968400958900246, `164` = 0.593799579402085, `165` = 0.999546907045159, `166` = -0.165590178876463, `167` = 0.927907153642925, `168` = 0.97708644273119, `169` = -1.56469829290578, `170` = 0.325942381829308, `171` = -2.52328229293399, `172` = -0.220554561892202, `173` = -0.578995539868613, `174` = 0.943962991225024, `175` = -0.28762618678959, `176` = -0.623671701835947, `177` = -0.0341104023900253, `178` = 0.157640040779364, `179` = -0.677970796516483, `180` = -0.797916706774773, `181` = -1.20816910766897, `182` = -1.59804104009406, `183` = -0.723459862012967, `184` = 0.0690788908253884, `185` = -1.4455806298819, `186` = 0.422969891784379, `187` = -0.887030288014093, `188` = 0.377087057164622, `189` = 0.178111741409501, `190` = -0.362378737758759, `191` = -1.95828918660721, `192` = -1.46799011274907, `193` = -2.56615377178761, `194` = 1.36761607831182, `195` = -0.408212369596027, `196` = 1.75680421917922, `197` = -1.36059376866375, `198` = 1.47639510785232, `199` = 1.04571766902045, `200` = -0.78594720595898, `201` = 0.78188441248486, `202` = 0.644318907294342, `203` = -0.176077616379735, `204` = 1.47487230092207, `205` = -0.344437358216782, `206` = 2.07294602737772, `207` = -1.15341579063268, `208` = 1.58614770595903, `209` = -0.36758868526355, `210` = 0.440207666569601, `211` = -0.275306420511773, `212` = -0.132424702653712, `213` = -0.0482918827367892, `214` = 0.700333579034905, `215` = 0.153552167666028, `216` = 1.354904437276, `217` = -0.0940210930784746, `218` = 0.178249213418117, `219` = -0.0718590169721228, `220` = -0.372132565126363, `221` = 0.2743337233337, `222` = 0.995628997256991, `223` = 0.887256216024083, `224` = 1.02740258604454, `225` = 1.85132165161094, `226` = 0.135133292496099, `227` = 0.272018643509762, `228` = 1.623520847384, `229` = -0.0371489772319791, `230` = -1.02981802460295, `231` = -0.850432580867964, `232` = -0.565802227982752, `233` = -1.30510264397433, `234` = 1.25007618135143, `235` = -0.57526258593963, `236` = 1.24186815887754, `237` = 2.4105885346059, `238` = -0.347283504658361, `239` = 0.563423156759932, `240` = -0.662253648583073, `241` = 2.95491788703927, `242` = -0.961770230160829, `243` = 0.955674155023439, `244` = 0.972303956215665, `245` = 0.98934493625832, `246` = 1.10414013365689, `247` = 0.611263225798478, `248` = 0.568958545849905, `249` = -0.854717847927866, `250` = 0.350946835829447, `251` = -0.292457058101941, `252` = 2.75357107350176, `253` = 0.834242176262766, `254` = 1.26696116962087, `255` = -2.21287516293338, `256` = -1.28952973897863, `257` = -0.891829646108193, `258` = -0.459611780815687, `259` = -0.360470725493518, `260` = 0.641678262155804, `261` = -0.103990683020398, `262` = -0.178524851655183, `263` = 1.25677935380373, `264` = -2.13892491708195, `265` = -0.291827529434965, `266` = 1.12341318276903, `267` = 1.11983686151372, `268` = -0.137741552160711, `269` = -0.652781641884896, `270` = -0.216624624750199, `271` = -0.353021091043571, `272` = -0.297813327146467, `273` = -1.36327372004937, `274` = -0.205915013958304, `275` = 0.443664560139034, `276` = -0.449297489381728, `277` = -0.894191238077295, `278` = -1.79203325611391, `279` = -0.338917970655343, `280` = 1.78454097846621, `281` = -0.486091714453967, `282` = -0.591510503346713, `283` = 2.73050658453025, `284` = -1.97455321466408, `285` = 0.119995857914282, `286` = 0.719969756085881, `287` = -0.382643281434768, `288` = 1.27441154210719, `289` = 0.794322022197328, `290` = 0.0192342199461539, `291` = -1.10256862275973, `292` = 0.317607647584267, `293` = -0.313727631989234, `294` = -0.97124484737473, `295` = -0.000554259159670144, `296` = 0.38261760244071, `297` = -0.0103759782320025, `298` = 0.901824392365618, `299` = -2.43376069040953, `300` = 0.685216088057129, `301` = -0.65380455159173, `302` = 0.362082168407164, `303` = 1.22563369526588, `304` = 0.176269416098703, `305` = 0.0603768424851903, `306` = -2.67850521791345, `307` = -1.11241691981968, `308` = 0.729911896694816, `309` = -1.4325825658838, `310` = -0.0606715332645114, `311` = 0.240679514346496, `312` = -0.36041902727999, `313` = -0.729918732527916, `314` = -1.47883030018216, `315` = 0.447833665156941, `316` = -1.91727568754626, `317` = -0.796563030292006, `318` = -0.0786569709999069, `319` = -0.912599036896566, `320` = -0.374280879830022, `321` = 0.913925288194581, `322` = 0.0474455921381818, `323` = 0.267830904503625, `324` = 1.39415054076247, `325` = 0.0335244297731983, `326` = 0.0636535096050474, `327` = -1.95400847855562, `328` = 0.184180234167246, `329` = -0.630138130177308, `330` = -1.23937518977461, `331` = 1.21908437476211, `332` = 0.0886511555240727, `333` = 1.067459014511, `334` = -0.897215731172858, `335` = -2.43184076594686, `336` = 0.248715846417063, `337` = 1.00186646100921, `338` = 2.57202091329185, `339` = 1.06115664145703, `340` = 1.03242583230715, `341` = -0.516295870204025, `342` = 0.373684256030876, `343` = -0.696287403144038, `344` = 0.507426741798138, `345` = -1.14483927721652, `346` = -0.347702006329537, `347` = -1.34120925655074, `348` = 0.132263987256395, `349` = 0.461052261030674, `350` = 0.0364585430873317, `351` = -0.371637290517893, `352` = -0.250277953651279, `353` = -1.60952300211484, `354` = -0.0811655594020712, `355` = -1.94480643727683, `356` = 0.0367058513086389, `357` = 1.84673389295959, `358` = 0.687352765565837, `359` = 1.54834126785165, `360` = 1.47999715561202, `361` = -0.199412609175701, `362` = 0.442441122559382, `363` = -1.93794678614154, `364` = 0.903480758590514, `365` = -0.878779905489679, `366` = 0.93814648685653, `367` = -1.87001575381933, `368` = 1.14323506747458, `369` = -0.725525776777194, `370` = 1.52506612906047, `371` = 0.00133214565857233, `372` = -0.838325869616721, `373` = 0.619360156838574, `374` = 0.0185145811407747, `375` = -0.58793826643742, `376` = -0.809633520870028, `377` = 2.42474631250702, `378` = -0.899589296893904, `379` = 0.666213188688393, `380` = -0.224862675418023, `381` = -0.972357798866612, `382` = -1.31865648202374, `383` = -1.47590975195639, `384` = -1.42865950669184, `385` = -1.49391787590036, `386` = 0.735425852771022, `387` = -0.113293590187947, `388` = 1.82657917147067, `389` = 0.684065496953059, `390` = 1.61818216434126, `391` = 0.569787413227696, `392` = 0.872287836388432, `393` = 0.443883392621181, `394` = -0.263756227170968, `395` = 0.778842679122107, `396` = 0.00386362534273763, `397` = 0.906521196971356, `398` = -0.769442771559844, `399` = 0.918485635776285, `400` = -0.183600646187187, `401` = -0.854910509609521, `402` = -1.65994175471195, `403` = 1.41522115542652, `404` = 0.323028751572093, `405` = -0.0393960735383096, `406` = 0.761127380405703, `407` = 0.0518915602823483, `408` = -1.47493631559061, `409` = -2.05463374640576, `410` = -0.0262636160583861, `411` = -0.277152617048994, `412` = -0.95237179052035, `413` = 0.524979812606982, `414` = -0.30867595543128, `415` = 0.751031553977189, `416` = 1.32068395900713, `417` = -0.525437630091273, `418` = -0.82145895157684, `419` = 0.177714874920089, `420` = 1.54384127078222, `421` = -1.69461301507659, `422` = -1.12891772319357, `423` = -0.814871565802017, `424` = 0.358721105700531, `425` = 2.4283421361755, `426` = -0.44303787458905, `427` = -0.29598138757007, `428` = -1.6397583939611, `429` = -0.564934508157389, `430` = 0.625765363492575, `431` = -0.730962962130021, `432` = -0.417207085813908, `433` = -0.329865255662936, `434` = -0.0812245264952631, `435` = 1.70677405289037, `436` = 1.29706910069198, `437` = 2.10461847554973, `438` = -1.81676326145784, `439` = -0.408964591583987, `440` = 0.831861743697683, `441` = -0.368848037368429, `442` = 0.701150634706081, `443` = -0.629670051750208, `444` = -1.89424938156875, `445` = -1.03510035005447, `446` = 1.91654699439126, `447` = -0.137342244885132, `448` = 1.63161829549619, `449` = 0.872678003141009, `450` = 0.7354940205863, `451` = 1.71013693442075, `452` = -1.50536568326281, `453` = -0.260600196842927, `454` = -0.205015767917604, `455` = -0.799765233209928, `456` = -0.27203163937395, `457` = -1.97187543477011, `458` = -1.549080711885, `459` = 0.534916953819233, `460` = 0.267228963565255, `461` = 1.40004004146821, `462` = -0.231856921651543, `463` = -0.269343297756892, `464` = -0.351253623054593, `465` = -0.865256406841322, `466` = 0.322082355332635, `467` = -1.17690997944313, `468` = 0.534593844400968, `469` = -0.0540326192287986, `470` = 0.547909049107145, `471` = 1.33178809602133, `472` = -0.318723594185765, `473` = -0.174539116340187, `474` = 0.0645307518722822, `475` = -0.363815536468061, `476` = 1.69046367398989, `477` = 0.0558511635150722, `478` = 0.853076900725734, `479` = 0.353208463444756, `480` = 1.26624811768733, `481` = -0.175276235619638, `482` = -2.67968807484938, `483` = 0.140650878745784, `484` = -0.683261859913555, `485` = 0.39988913139711, `486` = -0.921886641491984, `487` = -0.123478700464778, `488` = -0.483834170295311, `489` = -0.410132833268128, `490` = -0.630367617844952, `491` = -0.898087147980022, `492` = 0.061419860055552, `493` = -1.24305510798906, `494` = -0.199396181289918, `495` = -0.324262165272746, `496` = -0.654781741789735, `497` = 1.87250328682731, `498` = -1.74630441027651, `499` = 0.0275580206618543, `500` = -1.14997326268865, `501` = -1.40301688821418, `502` = -0.14100649790472, `503` = 2.16148598856364, `504` = 1.19952737027423, `505` = 0.353897451004024, `506` = -0.739164373388727, `507` = 2.15860514356829, `508` = -0.457866905854127, `509` = -1.09598276735103, `510` = -1.24445107762985, `511` = -0.601946374367648, `512` = 1.75106898973113, `513` = 1.05292684391896, `514` = 0.465292485092317, `515` = -1.76974816885205, `516` = -0.260967988129897, `517` = 1.13139835620884, `518` = -0.346246228656431, `519` = -0.509655431433273, `520` = 0.0446962529239993, `521` = -0.893603197098097, `522` = -0.264265589387314, `523` = 2.37927093190715, `524` = 0.56623940637046, `525` = 1.26084854960676, `526` = -0.16122008287042, `527` = -0.476290255141048, `528` = 0.62792198670192, `529` = -1.42352810998377, `530` = 1.24879131206239, `531` = -0.243473120349148, `532` = -2.93573308282161, `533` = -0.836853203515277, `534` = -0.289078433350248, `535` = 2.0146017680782, `536` = -0.112083638190287, `537` = -1.34164918116908, `538` = -0.286109197263816, `539` = -0.921551331259077, `540` = -1.50762020479464, `541` = -0.899204724499733, `542` = -1.84270843154796, `543` = 2.47910460085213, `544` = 0.355823818882617, `545` = 0.706619369595011, `546` = -1.06623568528134, `547` = 1.27849806285197, `548` = 0.650459328938198, `549` = -1.08448801914052, `550` = -0.331096713214464, `551` = -0.362181387236569, `552` = 1.36520633218548, `553` = -0.228989645926182, `554` = 1.19532656192675, `555` = 0.720309310162288, `556` = -0.283118690576896, `557` = 0.0935562293552512, `558` = -0.73632605030403, `559` = -0.386018975162292, `560` = -1.61510382032058, `561` = -0.647358021747128, `562` = -0.198189055902959, `563` = -0.231859676486582, `564` = 2.46984610041161, `565` = 0.401287656437332, `566` = -1.50462690049602, `567` = 1.06286502976489, `568` = -0.275807347295196, `569` = 1.40163112935451, `570` = -0.135627762285509, `571` = 1.59671907753339, `572` = 0.0332454746191333, `573` = -0.46390113438653, `574` = 2.04667164615292, `575` = -1.26648358451873, `576` = 0.34241800164842, `577` = -0.862845130940423, `578` = 1.17888758326791, `579` = 0.482871358449955, `580` = -0.586203075632172, `581` = -0.313436280167181, `582` = 0.666317498206885, `583` = -1.09381644255708, `584` = -0.64706278998496, `585` = 0.522473010345057, `586` = 0.69004630757896, `587` = -1.58732753392557, `588` = -0.0292439105393772, `589` = -0.95223314589784, `590` = -0.810897881173304, `591` = 1.09047425654457, `592` = 1.0984719685864, `593` = -0.101880226320777, `594` = -0.885731653711405, `595` = 0.165247458264157, `596` = 1.67817302478363, `597` = 1.02740874816144, `598` = 0.407098533975226, `599` = 0.0212323212915641, `600` = 1.05709190123365, `601` = 0.721513274718439, `602` = 0.71360654872932, `603` = -0.702932488448542, `604` = -2.71950727348554, `605` = -0.589089845429238, `606` = 1.0773579551258, `607` = -0.173410813853688, `608` = -0.663243953069262, `609` = -1.97911747657479, `610` = -0.474745855259661, `611` = -0.814679133694167, `612` = -0.653757145370431, `613` = 0.0722862425134145, `614` = -0.224191614571255, `615` = 1.26727670748956, `616` = -1.57412936537123, `617` = -1.51938372179535, `618` = -1.01159427196705, `619` = 0.127049137158835, `620` = 2.25803738472732, `621` = 1.45125433397264, `622` = -0.41145899206481, `623` = -0.479687499365016, `624` = 1.31638641894359, `625` = 0.391330002961166, `626` = -0.389456294379096, `627` = 0.0585043435648092, `628` = 1.09446808322787, `629` = 0.0146191695005953, `630` = 0.126506704022758, `631` = 0.760425067297108, `632` = -0.516005945923311, `633` = -1.98122694670427, `634` = 0.011026550928697, `635` = 1.22053538149303, `636` = -0.250159969858279, `637` = 0.992895735013286, `638` = -0.561635743470546, `639` = -0.741059041672562, `640` = 0.228842364481597, `641` = -0.484357418131607, `642` = 0.167843895096638, `643` = 0.961398356412197, `644` = -0.439590532664392, `645` = -0.120176486308383, `646` = 0.952901925716894, `647` = 1.54027188688194, `648` = -0.200071606038271, `649` = -0.370593024292862, `650` = -0.489866105018164, `651` = 0.99807649275207, `652` = -0.666729663960561, `653` = -0.719481828892707, `654` = -0.287111429652809, `655` = -1.40296029636829, `656` = -0.307156948909019, `657` = -0.432180139816106, `658` = -0.0655155763153287, `659` = 0.783149637579721, `660` = 1.77511674298001, `661` = 0.858748165133872, `662` = -1.15741607406915, `663` = 1.47852495973671, `664` = 0.77739201019174, `665` = 0.191592881379408, `666` = 1.0005740448232, `667` = 0.51192647401808, `668` = -0.122685536995748, `669` = -0.575662329971165, `670` = 0.868342008354016, `671` = -2.18288020451937, `672` = -0.377447729738174, `673` = -1.32851313123068, `674` = -2.04917816509898, `675` = 0.252456896271665, `676` = -0.00455759699316366, `677` = -1.80988772612292, `678` = -0.276704117303584, `679` = 0.525186032973322, `680` = 0.651829393276619, `681` = 0.271425733169605, `682` = 0.710379930452424, `683` = 0.124270638581215, `684` = 0.457124159009988, `685` = -0.0831111801632644, `686` = -0.918521479885603, `687` = 0.255674046162417, `688` = 0.893358978410407, `689` = 2.40262062264375, `690` = -0.480158297042548, `691` = 0.0370645329551433, `692` = -2.13030267718804, `693` = -0.980839303313051, `694` = 1.39772326518982, `695` = -0.17132646184608, `696` = 0.460408340786116, `697` = 0.478251291173555, `698` = -0.757248447085629, `699` = -0.206535309703804, `700` = 0.349975367908024, `701` = -0.247233949170307, `702` = -0.0162895051132212, `703` = -0.60099445259856, `704` = -1.37556588385377, `705` = 0.645622435957847, `706` = 1.4013001557138, `707` = 0.202694307230844, `708` = 0.0956946271562169, `709` = -0.241541600821264, `710` = 1.41187869168221, `711` = 1.16354084643934, `712` = 1.41065660623005, `713` = 0.773256870269722, `714` = 0.183455204067203, `715` = 0.480042465027015, `716` = 0.294571740526009, `717` = -1.20260918153325, `718` = 2.23428656648947, `719` = -1.1515462705905, `720` = 0.616198841192538, `721` = -1.41866870384524, `722` = -0.951966350087608, `723` = -0.352485148907089, `724` = -1.42086086122911, `725` = 0.0582291636091519, `726` = -1.03902533879805, `727` = 0.0996535606923858, `728` = 1.84806459684644, `729` = 0.769984914249602, `730` = -1.42845531193888, `731` = 0.370737032050522, `732` = 0.0654514348826629, `733` = 1.77481413849243, `734` = 0.590916559430136, `735` = -0.0976196494326984, `736` = -1.15398676759493, `737` = 0.048500857472991, `738` = 1.43728575012931, `739` = -0.969080437830227, `740` = -0.71736093120723, `741` = 1.03777139727611, `742` = 0.958306045718272, `743` = -0.274420680706018, `744` = -0.300947151495689, `745` = 0.0421269080315298, `746` = 1.02885153552682, `747` = 0.0254833900179468, `748` = 0.243121699570229, `749` = 1.69002191128667, `750` = 0.836142919340155, `751` = 1.28824988628336, `752` = 1.80408876812388, `753` = -0.155972070968765, `754` = -0.0972269255301354, `755` = 0.173923472482183, `756` = 0.429328031436448, `757` = -0.434125625965263, `758` = 0.199289404917013, `759` = -0.931578567641512, `760` = 0.385669117507831, `761` = -0.834233345701464, `762` = -0.225288119873308, `763` = 1.2326248028519, `764` = -0.281764122908527, `765` = -0.568085715221524, `766` = 0.860471328956729, `767` = -2.66192804189633, `768` = 0.0601969106197502, `769` = 0.304991890080915, `770` = 2.35592805016226, `771` = -0.617449971933117, `772` = -0.996906991473719, `773` = 2.25279831414472, `774` = 0.332555213772629, `775` = -0.0343182375654322, `776` = 0.553942095735088, `777` = -0.332260043051378, `778` = -1.08865647256746, `779` = 0.809667694768049, `780` = 0.0329839118148833, `781` = -0.0935493157522529, `782` = -1.18852966422395, `783` = -0.998380780854964, `784` = 0.597827690052846, `785` = -0.939921171439336, `786` = 0.571054144382359, `787` = 1.03357365681507, `788` = 1.00228797020952, `789` = -1.31781480506039, `790` = 0.10914512607753, `791` = 0.137302528006935, `792` = 0.996301382808932, `793` = 0.484548535905109, `794` = -1.2229509318636, `795` = -0.31591843989084, `796` = 1.10557071566996, `797` = 1.00632025507384, `798` = 1.82147163570023, `799` = -1.15978776889398, `800` = -0.754735507390657), effects = c(Intercept = -73.40333659132, age = 13.6382906841201, `age'` = -2.107611276151, `age''` = -0.034533686035316, `treat=placebo` = -2.24761333894835, `sex=male` = 2.65400508021108, `age * treat=placebo` = -0.243522200233562, `age' * treat=placebo` = 2.26243430584071, `age'' * treat=placebo` = 1.0721171414083, `age * sex=male` = 1.44104881889796, `age' * sex=male` = 3.84672118267309, `age'' * sex=male` = 0.428113012081798, `treat=placebo * sex=male` = 3.64434918334448, `age * treat=placebo * sex=male` = 1.82702857346944, `age' * treat=placebo * sex=male` = -2.0416754656213, `age'' * treat=placebo * sex=male` = -0.865456381743029, -0.572850974887237, -1.17018600460594, -0.0963618583398188, 1.40955786337855, 0.0459542010786245, 0.054162644913335, -0.716313781853562, -0.662075456970051, -0.287362257763061, -1.62608406617552, 1.28980384042999, -0.0456820693279919, -1.94036918237309, -0.135916515161014, -0.23955569337864, -1.44408160083464, 1.96640645780827, -1.11087569668948, -1.23195598718316, 0.46338388259601, 0.352396975809895, -0.35304969650697, 0.116559024379499, -0.98470620043081, 1.41858956516318, 0.721265766857826, -1.1339386640339, 0.655480194364529, 0.847366265130963, -0.630687887144773, 0.657047719449646, -1.14664480797666, 1.7638336644967, 0.626296229567147, -0.195506654238485, -0.646252657427098, -0.139697843963573, -0.590290197636792, 0.0778434741039944, 0.669110607661971, -0.427663691616754, -0.899358002588566, -1.76800081230197, 0.579232779335802, 0.493796992546083, -0.0271421617831837, -0.484607750376689, 0.267949506055039, -1.20379240580015, -1.24401829194072, -1.53310664801457, -0.718940125760921, 0.638532609533419, 0.685208828541294, -0.311266263368033, 1.24347378677893, -1.12420676301885, -0.448458805165953, -0.675397326252763, 0.273018630441841, -1.64138312863665, 1.35818388732829, 1.03442825450482, 0.938960023424087, 0.00373005418637162, 0.9961626316138, 0.376732229144643, 0.811446613350443, 0.222289088923426, 0.430731167570466, -2.20015588254468, -0.435344252558877, 1.09983354616501, 0.105034257705275, -1.23214852290654, -0.958961370821248, -0.673648925584276, 1.95346019103648, 0.00593114871831279, -0.622755754872117, -1.98927501769708, -1.68969738232221, 1.64017013679322, -1.01388454826697, 1.32929870110876, -0.477714946516354, -2.32338177859855, 2.12407241889225, -0.895845019708879, -0.425595709895197, 0.218962050366787, -0.127460273135104, -1.34130173019619, -1.63733646365065, 1.26014407044007, -0.739092790829002, 1.08124266813936, 1.66524436361464, -0.525200332594081, -0.629308531038169, -2.05956382158515, 1.75792829515329, -0.883690325425071, 0.0504542319645168, -1.19068856264395, 1.06937548571033, 1.45181621995161, 0.299403153165381, -0.578097958427776, -1.56815079106531, 1.38991756050067, 0.659786641431123, -0.141445929056025, 1.37153294716425, 1.17874690333005, -0.566539398435019, -1.26430637087197, 1.54873284881512, 0.568424907570846, 0.0536320312414061, 3.02678070850782, -2.51625883294248, -0.0467236280202693, 1.01099842079662, 1.49043466931921, 0.82313712661326, 0.313411320850356, 0.780566077689021, 0.42965757898183, 0.128040070019345, -0.868879254373763, 1.81772477128329, -0.362618741109525, -0.471052208341644, 0.251709691538199, -0.0166655284892506, -2.13266939400036, -0.576923620740367, 0.530611766512081, 1.195102962025, -1.34150935786286, -0.596746065942844, -2.39303655768923, 0.880352261816334, 0.0917559833518959, 0.809727135994157, -0.729970576769514, 0.792333551893106, 1.07642974480236, -0.164989225384035, 1.08189605641, 1.11314216142431, -1.72977557094265, 0.261211721318, -2.6632247143553, -0.378887509619794, -0.673821052365435, 0.919115485932933, 0.0378349024699697, -0.717893929033466, 0.0182916261997959, 0.00914510934540284, -0.537743369758895, -0.808455285713084, -1.17177082230259, -1.61278646965847, -0.554314275731673, 0.152363993666186, -1.3798903887697, 0.415122928796598, -0.72460615272511, 0.319899165306241, 0.0138955134273004, -0.52667677064417, -2.10158100553355, -1.51811822003867, -2.69817356576717, 1.43209750643492, -0.417131131756681, 1.89029019087277, -1.36632236570487, 1.33790250185367, 1.0984813868671, -0.924252683485373, 0.661503228428236, 0.522793433993535, -0.289481849632496, 1.35673633188748, -0.359847631614441, 2.2184439717927, -1.31640379028992, 1.69220766304441, -0.333514666912783, 0.296061806323314, -0.100978518323013, -0.211125945004448, 0.0809622414887248, 0.662717193679243, 0.200363530441026, 1.27173614600483, 0.0827603938371803, 0.19724386948073, -0.130320726192931, -0.154475974685408, 0.222854610541286, 0.862949751560051, 0.963869201023936, 0.862683682407007, 1.88607805168194, 0.17787502223404, 0.280328534240683, 1.69605339236483, -0.0138316591359702, -1.18159910117973, -0.894215518292957, -0.619885770764213, -1.34728819738794, 1.35718357328599, -0.70578664439481, 1.30611622594388, 2.30332209406001, -0.506309052316268, 0.476752071262815, -0.686677576468282, 2.99220151193042, -0.930880466752343, 1.08551156980691, 0.971583097112518, 1.19421323453849, 1.19229713486145, 0.47817344687356, 0.563455539462853, -0.815508142941393, 0.304782864252948, -0.32589993496468, 2.68003304351168, 0.814646972297269, 1.52582265805096, -2.34509276390712, -1.33670713276002, -1.00804893546524, -0.511671297810866, -0.443097552451032, 0.505923196205986, 0.305062062124505, -0.285571007783972, 1.1362601018451, -2.26825907990482, -0.312199311021363, 1.22106246226168, 1.07150683742929, 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-0.987869441506393, -0.499131675161934, 0.840106031882877, -0.00667657700631121, 0.220544907482164, 1.56936903128842, -0.0617188655985546, 0.103925280236877, -2.05737634930394, 0.653426584287552, -0.680002906267859, -1.38350435820092, 1.20639219387781, 0.0633113077294339, 1.03259984197315, -0.854944270434947, -2.4331309736385, 0.36860725130955, 1.0080418592193, 2.51633600912312, 0.997182811879076, 0.892954099028682, -0.433574432838381, 0.400376380273353, -0.673910933392138, 0.634454805452439, -1.30854427935113, -0.396484456189687, -1.37287377539242, 0.0783909897419404, 0.329063331199946, -0.108642749587895, -0.269699597817162, -0.288833966688141, -1.7740270926826, -0.0565969000551345, -1.83503247589523, 0.046461339379731, 1.83487990805534, 0.649757652377983, 1.4930010624866, 1.42773976645934, -0.24726967046491, 0.52942835257867, -1.96524683145088, 0.86110399335916, -1.71289169594927, 0.936556037309977, -2.00285202085781, 1.00605167625474, -0.666616541128543, 1.47021284749966, 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1.28188405641122, 0.015856547259268, -0.421224304632195, 0.506795121584856, -1.22797832174891, 1.40500607386944, -0.388500897912734, -2.94743890022872, -0.883095045062289, -0.342305589442974, 1.95725939402559, -0.23738860790101, -1.31658902197046, -0.418981749427873, -1.02201497350322, -1.56425924867067, -0.747022898317078, -1.96411489600151, 2.6543841765424, 0.439929175015255, 0.853171755092243, -0.937583087815923, 1.22472479691222, 0.608796093097703, -1.03081359963253, -0.223494726985979, -0.239937746417425, 1.44790063888256, -0.244552557062628, 1.27523174335611, 0.694392026440829, -0.348242420921013, 0.119441362964252, -0.775157704517916, -0.367235353122238, -1.45261055415003, -0.521470929909295, -0.157676870481469, -0.187505869499273, 2.3549473375922, 0.439026428133767, -1.64629400877348, 1.08244479522616, -0.230598500595036, 1.36237441349758, 0.0180898922257625, 1.60503936723123, -0.0159154327869168, -0.377363896470329, 2.11538036394885, -1.40135143505897, 0.261635870090519, -0.986940711141868, 1.08561376176061, 0.558444971119023, -0.505446712656072, -0.340952188312589, 0.72097091804321, -1.23099606052719, -0.692325253467676, 0.599851099101802, 0.66054758545503, -1.63926029589367, 0.118620866218582, -0.973916225940032, -0.70152154153271, 1.13454620095673, 1.04374808011527, -0.120465177768653, -1.04746211482416, 0.217054884353957, 1.66490674490501, 1.03897491304754, 0.27478203549306, 0.00962686489798092, 0.923948089026567, 0.701221616970267, 0.656836798608708, -0.774437441716742, -2.84980192254577, -0.734057843346343, 1.22179268702537, -0.149312947073129, -0.613105864449934, -1.80053643578078, -0.524962686205149, -0.754409396006621, -0.662449041983411, -0.0715565025597993, -0.388249769834134, 1.1373639507122, -1.66350958132652, -1.62668598986122, -0.899185692071111, 0.0435203078352505, 2.39247001526776, 1.30438082348142, -0.53684051900439, -0.386201526187617, 1.53479001778519, 0.530931405839501, -0.49381513671371, 0.0426117823879, 1.03231499784844, -0.0396858552601931, 0.0348322006376273, 0.615296407542039, -0.645248237028341, -1.74671260649583, 0.0840603682557606, 1.08744274434229, -0.269464442290146, 0.944801712004487, -0.654605949989809, -0.802282645919392, 0.202585005747446, -0.533889573826154, 0.539527385569078, 0.834925911743147, -0.570178928186263, -0.0972931135803489, 0.973453819166779, 1.63140619988829, 0.398785991712884, -0.350697500471871, -0.369809536319939, 1.17471480778597, -0.693972358169581, -0.73671925939696, -0.407687200404335, -1.4379638302709, -0.361833354279922, -0.553487650423299, -0.053927240461549, 0.865371427316694, 1.74873896883559, 0.810056146547484, -1.07952205327813, 1.34671334743905, 0.644019367082201, 0.151669036058838, 0.910748965588329, 0.390718961702401, -0.25095886119712, -0.648959893596139, 0.810397070997359, -2.08830586210571, -0.317818561309525, -1.59026593890924, -2.16001187790033, 0.324657003053649, -0.0582210567866945, -1.89063202956731, -0.31788826366276, 0.525708409075262, 0.580548995133037, 0.126703128720121, 0.569656512065563, 0.10770650692188, 0.435348894686623, -0.247930588426894, -0.844228794034961, 0.123034402811563, 0.78111827743297, 2.3618487202732, -0.61882279730788, 0.0668041152554399, -2.26713029080264, -0.828396443261679, 1.26993303849881, -0.03039293409857, 0.429319422309336, 0.631597348375269, -0.844185997483185, -0.160559310908493, 0.319138158190132, -0.166565566595088, 0.125887319897372, -0.522688880720763, -1.23690212822424, 0.719848111505827, 1.35933328238897, 0.0725714730809292, 0.0217098275000365, -0.31643430946117, 1.25085271107477, 1.3638879572947, 1.33698033651463, 0.803361260010268, 0.116943326383704, 0.380660895855268, 0.24849823499166, -1.28431518571426, 2.33071520522355, -1.19110442037258, 0.529847079790773, -1.29030775886443, -1.06944368899846, -0.184521424554327, -1.33696417481552, 0.016582354828849, -0.884557462261349, 0.0870195139233712, 1.95810352473099, 0.718305338046376, -1.49526111359094, 0.336536695265361, 0.124747665997748, 1.04987196933542, 0.70788247551476, -0.17613117040106, -1.20909614430547, -0.0292857209734235, 1.4636307094423, -0.987921517155655, -0.842260630085467, 1.09002136392792, 0.868898450937378, -0.394103499413947, -0.248122683411008, 0.172610190116425, 1.00260268314649, -0.0965247693659452, 0.0989299119993181, 1.74768702086668, 0.692728306838585, 1.23613555584604, 1.77285557041551, -0.23881130558668, -0.0805116029057873, 0.0416988020249218, 0.297933995176449, -0.250606422971945, 0.0894804712305895, -0.804762369104944, 0.333821512822324, -0.813295524510226, -0.298233156512461, 1.31778189647637, -0.21986145577956, -0.611368606182007, 0.967278702989654, -2.52414943647429, -0.0755818975511696, 0.169111736495417, 2.23253748899061, -0.629846423705932, -1.35071588787323, 2.12601204119038, 0.19035376557703, -0.140560533768141, 0.509697463187835, -0.440625345768201, -1.02227471346483, 0.762363676169038, -0.0871288150611121, -0.0699811259583561, -1.30069428264778, -1.24142493103183, 0.605581162539639, -1.10422685757841, 0.451562029691737, 0.870267171739296, 1.05625793747355, -1.29748102966093, 0.0118069893978282, 0.0851986068188737, 0.987876749158515, 0.482549683212166, -1.09711426174666, -0.23910684896716, 1.03394446587643, 1.18019617564374, 1.79694306130437, -1.72790554432164, -0.776398954786844), rank = 16L,     fitted.values = c(`1` = 1.8273464762968, `2` = 2.6542796288188,     `3` = 2.91235879550687, `4` = 2.62632478687051, `5` = 2.37478067233776,     `6` = 2.57126669833247, `7` = 2.29342830409831, `8` = 2.91272324756385,     `9` = 2.7720149889747, `10` = 2.61802501930452, `11` = 2.83995582973133,     `12` = 3.15822090879926, `13` = 2.7318330139736, `14` = 0.923092063185215,     `15` = 2.35638427355456, `16` = 3.21291450377986, `17` = 2.85930487738867,     `18` = 1.85471780857574, `19` = 2.59507849617468, `20` = 2.77516156003148,     `21` = 2.37468336722965, `22` = 2.94734075955842, `23` = 2.71890305200674,     `24` = 2.56690580859943, `25` = 2.62312595210793, `26` = 2.69985921118831,     `27` = 2.46142105713551, `28` = 4.81182749551602, `29` = 1.78100545234006,     `30` = 2.51087836642562, `31` = 2.18383381057564, `32` = 3.12042045378319,     `33` = 2.962998524365, `34` = 2.17134047276968, `35` = 2.49370220032693,     `36` = 2.95708295768924, `37` = 4.12990022922827, `38` = 2.68438147115392,     `39` = 2.20205567454462, `40` = 1.89621933065192, `41` = 3.17300922223564,     `42` = 1.36495515601018, `43` = 4.9162768756297, `44` = 2.34843367978997,     `45` = 2.2828688390031, `46` = 2.47656065356765, `47` = 3.35155981290649,     `48` = 2.68466198933939, `49` = 1.72312215469336, `50` = 2.5545423995087,     `51` = 2.75451955418949, `52` = 2.82193431350933, `53` = 2.40214416391366,     `54` = 0.959203672924118, `55` = 2.43423806672798, `56` = 2.38707792981996,     `57` = 2.37029134741965, `58` = 2.24561426606161, `59` = 2.30349409111093,     `60` = 2.43894245579633, `61` = 2.82061452685481, `62` = 3.40279330285509,     `63` = 2.02110598950698, `64` = 2.43980467959036, `65` = 2.55818586752441,     `66` = 3.81749524286754, `67` = 2.55797249452663, `68` = 1.86026293864306,     `69` = 2.64852423658387, `70` = 2.39078281119623, `71` = 4.20728393693173,     `72` = 2.73321470694733, `73` = 2.13299125795756, `74` = 2.40078521835743,     `75` = 2.38732388647639, `76` = 2.48663441342883, `77` = 2.48319236767406,     `78` = 3.33474920590903, `79` = 2.72652344572814, `80` = 2.502890404923,     `81` = 2.38653230290044, `82` = 2.81510053286542, `83` = 2.48414658771294,     `84` = 2.62268592379984, `85` = 3.0651368477459, `86` = 3.15791582696985,     `87` = 2.24559620887642, `88` = 3.13179459683268, `89` = 1.97357557764259,     `90` = 2.77282308095323, `91` = 2.74016188199839, `92` = 2.45176950529484,     `93` = 3.32531928953431, `94` = 2.19751752606572, `95` = 2.72674714579747,     `96` = 2.42192340543888, `97` = 1.93076371222272, `98` = 3.62929473538996,     `99` = 1.35369434987869, `100` = 2.2547370962648, `101` = 1.94409001325824,     `102` = 2.62880112621963, `103` = 2.77137140917496, `104` = 1.95738338715501,     `105` = 2.72049174848199, `106` = 2.40243453220378, `107` = 3.09735812074682,     `108` = 2.75153859240597, `109` = 2.7634794003779, `110` = 2.05813014540498,     `111` = 2.65985862884668, `112` = 2.46522299246837, `113` = 1.5703781919029,     `114` = 2.69035917134868, `115` = 4.20861430662284, `116` = 2.37125443702692,     `117` = 2.36705613621479, `118` = 2.85308469084743, `119` = 2.5415194010717,     `120` = 3.15710460382206, `121` = 2.77865444148754, `122` = 3.2954859943684,     `123` = 2.70726046586218, `124` = 2.42473855283583, `125` = 2.75546009888392,     `126` = 1.93535012472394, `127` = 2.21956899382337, `128` = 2.48911632772296,     `129` = 2.93859012435979, `130` = 2.5501671026405, `131` = 2.86395308616895,     `132` = 2.9325665637652, `133` = 2.49741866101599, `134` = 1.15477002080841,     `135` = 2.85906509967744, `136` = 3.21480202919142, `137` = 2.64844922449584,     `138` = 1.81624171593204, `139` = 2.50256109585425, `140` = 2.06026174870399,     `141` = 2.41347967088569, `142` = 2.82647702488726, `143` = 3.28776560599656,     `144` = 2.74957705273186, `145` = 2.06055571226601, `146` = 3.23783901748259,     `147` = 3.0579009438373, `148` = 3.23597166652999, `149` = 2.21636165136686,     `150` = 2.77037519109151, `151` = 3.14335945231959, `152` = 2.39156945942855,     `153` = 2.78704915422625, `154` = 2.63941496646989, `155` = 2.58610032037074,     `156` = 2.70144690395644, `157` = 2.90426129456847, `158` = 2.88420138031662,     `159` = 2.39479076403391, `160` = 2.80509075142565, `161` = 2.37161390962301,     `162` = 2.41992065646662, `163` = 2.9052094221091, `164` = 3.22550263914549,     `165` = 1.73315464210068, `166` = 2.43142907624064, `167` = 3.87849162526757,     `168` = 1.08194647347416, `169` = 2.84365960719609, `170` = 2.31147636681322,     `171` = 2.76523847380424, `172` = 2.88117058586849, `173` = 2.04732981907891,     `174` = 2.07915665869094, `175` = 3.08110988123108, `176` = 2.04592349294163,     `177` = 2.56700092604082, `178` = 2.77907881429002, `179` = 3.17846678411757,     `180` = 2.65038681640476, `181` = 2.92913414157109, `182` = 2.63780063630832,     `183` = 2.45550173098484, `184` = 2.78684913414774, `185` = 2.60955074916775,     `186` = 2.67430224080449, `187` = 2.3114710982275, `188` = 2.41392007655519,     `189` = 2.85514775159917, `190` = 2.82657039075926, `191` = 2.27203654778748,     `192` = 2.37030879867869, `193` = 2.78189657176958, `194` = 3.01888613570589,     `195` = 2.66860452934713, `196` = 2.5229466489951, `197` = 1.96437460612657,     `198` = 2.29586715480886, `199` = 2.53040196702745, `200` = 2.17979970489295,     `201` = 2.99968367627667, `202` = 2.99303164445703, `203` = 2.09396489715103,     `204` = 2.63747526906564, `205` = 2.63430036234606, `206` = 1.62346827950003,     `207` = 2.86309558489206, `208` = 1.26999728769122, `209` = 1.72020445809491,     `210` = 2.91311906510036, `211` = 2.43319556057215, `212` = 2.39109250097856,     `213` = 1.6492458519465, `214` = 1.99197336957605, `215` = 2.55334196204763,     `216` = 2.41675268048625, `217` = 2.4118017030696, `218` = 1.82904370247393,     `219` = 1.96972936169113, `220` = 4.48347814044753, `221` = 2.43357782876622,     `222` = 2.88429652654287, `223` = 3.21160807310651, `224` = 2.85022603796191,     `225` = 2.52882699909125, `226` = 2.0957307798493, `227` = 1.87895581468756,     `228` = 3.18065900342439, `229` = 2.47307935938645, `230` = 2.78536931497109,     `231` = 2.19076727042225, `232` = 2.41128760676261, `233` = 2.37131981545313,     `234` = 2.55303760371157, `235` = 2.9199693414722, `236` = 2.60397022793523,     `237` = 2.35726095482352, `238` = 2.87899977284871, `239` = 3.13468726875723,     `240` = 2.58696063484866, `241` = 2.93480037321797, `242` = 2.52196476517132,     `243` = 2.23386570374798, `244` = 1.93400574589039, `245` = 4.36159183616138,     `246` = 3.30181888171832, `247` = 2.87275271626973, `248` = 2.68680493967785,     `249` = 2.9472147026804, `250` = 2.67701679026062, `251` = 2.43874412812383,     `252` = 2.69832522750769, `253` = 2.39815127697227, `254` = 3.27416880961077,     `255` = 2.89420394072003, `256` = 2.46206595690653, `257` = 3.02161363337767,     `258` = 2.37253590878611, `259` = 3.14803716395551, `260` = 2.30477591805902,     `261` = 1.20593814723825, `262` = 3.06200642364828, `263` = 2.99889777179038,     `264` = 2.14282555354455, `265` = 2.01335804244271, `266` = 1.32272589615639,     `267` = 2.45487059993715, `268` = 1.51492463330488, `269` = 2.31193380003934,     `270` = 2.69797296272068, `271` = 3.27746164011552, `272` = 2.37320371671454,     `273` = 2.44765266363073, `274` = 2.76426830101752, `275` = 3.14991474578698,     `276` = 1.91281943159906, `277` = 1.47871083226282, `278` = 2.66139783025367,     `279` = 3.0068312744844, `280` = 2.40803144249423, `281` = 3.19967771868625,     `282` = 2.38442996368075, `283` = 2.74742751208274, `284` = 2.74151591243007,     `285` = 2.53430303102901, `286` = 2.13304771295534, `287` = 3.03502047926305,     `288` = 2.40927804101479, `289` = 2.84449715484632, `290` = 2.69872269248432,     `291` = 4.2167466822975, `292` = 2.86134949044519, `293` = 2.3240990316239,     `294` = 2.58529458327362, `295` = 2.589177826791, `296` = 1.65132282111858,     `297` = 4.12860304687622, `298` = 2.9788838201833, `299` = 2.03941888516452,     `300` = 2.74426480590544, `301` = 2.70375821808304, `302` = 2.42445684795484,     `303` = 3.91189357427476, `304` = 2.46328928597437, `305` = 2.71213347425702,     `306` = 2.75078140564015, `307` = 2.39519608769782, `308` = 1.97652601737173,     `309` = 2.49237836450657, `310` = 3.02437447193905, `311` = 2.63718302354101,     `312` = 2.85937900798305, `313` = 2.54616629469414, `314` = 2.7903511279751,     `315` = 1.61496522808629, `316` = 2.84844468900093, `317` = 2.37133176406135,     `318` = 2.2342212333381, `319` = 2.39493857884649, `320` = 1.88745641232398,     `321` = 2.39649029076404, `322` = 2.25072436441753, `323` = 2.36943155133288,     `324` = 2.42743673231805, `325` = 2.97791930992207, `326` = 2.09234168848051,     `327` = 2.36240634177489, `328` = 1.1105791288804, `329` = 2.37013324391512,     `330` = 2.26471337954389, `331` = 3.05444517174529, `332` = 2.38980742161709,     `333` = 2.37786232477323, `334` = 1.78990970602347, `335` = 2.70944370588652,     `336` = 3.5683141888971, `337` = 2.44134246962534, `338` = 2.25972174620225,     `339` = 3.00918859646008, `340` = 2.18586223684944, `341` = 2.74330408539129,     `342` = 2.86867416819939, `343` = 2.06826131293291, `344` = 3.63151763911666,     `345` = 2.85886713213127, `346` = 2.21985116812454, `347` = 2.3815434508579,     `348` = 2.41350923720854, `349` = 2.89843556037318, `350` = 2.23898268719741,     `351` = 1.29584077798455, `352` = 2.51159663534582, `353` = 2.85257238541717,     `354` = 1.77903202336168, `355` = 2.55028022270778, `356` = 2.44782824590644,     `357` = 2.46271608796213, `358` = 2.51685373998414, `359` = 2.41583566834669,     `360` = 2.3728907565472, `361` = 2.369454773508, `362` = 3.29250303236263,     `363` = 2.66285306254625, `364` = 2.49029698546202, `365` = 1.05306070502084,     `366` = 1.86455368138798, `367` = 2.88031132181863, `368` = 2.30036007798452,     `369` = 2.11837578996616, `370` = 2.40083223927156, `371` = 2.29153752579909,     `372` = 2.44953094562367, `373` = 2.62721713144288, `374` = 3.9441196218975,     `375` = 2.9557674025679, `376` = 3.66113529407979, `377` = 2.32038023868864,     `378` = 2.87211440331623, `379` = 2.39293831188164, `380` = 2.51344798573844,     `381` = 4.63994090353258, `382` = 2.42205148785717, `383` = 2.33462597983624,     `384` = 2.23050814284012, `385` = 2.88331664462298, `386` = 4.55690943309283,     `387` = 2.58261047793064, `388` = 2.54193081869031, `389` = 4.52295683194619,     `390` = 2.14060027084606, `391` = 2.99869748680244, `392` = 2.26250701192594,     `393` = 2.01249031809818, `394` = 2.97085385284773, `395` = 2.64468402413129,     `396` = 2.33395576477012, `397` = 2.63502066231726, `398` = 2.24915693049968,     `399` = 2.58574738517705, `400` = 2.3716272899945, `401` = 1.69024305202187,     `402` = 3.19926868492288, `403` = 1.77606477443688, `404` = 1.64318193529478,     `405` = 2.83237040517646, `406` = 2.88901243357697, `407` = 2.40363001910485,     `408` = 2.56124257441973, `409` = 3.15661085878286, `410` = 3.01754450476663,     `411` = 1.66908846281502, `412` = 3.04638461915898, `413` = 2.4902496498083,     `414` = 2.32355269847258, `415` = 3.20708965017669, `416` = 2.94047492110776,     `417` = 3.039308895143, `418` = 2.4463121970276, `419` = 2.85372829272876,     `420` = 2.52921117908114, `421` = 2.20126381165548, `422` = 3.67012958834098,     `423` = 2.67998235983964, `424` = 2.48875766442306, `425` = 2.98395742646305,     `426` = 2.86885943428284, `427` = 2.36948098545145, `428` = 2.41007394201668,     `429` = 3.32665939652036, `430` = 2.60667304612803, `431` = 2.3375066389785,     `432` = 3.1650659263681, `433` = 2.87830655726086, `434` = 2.24977346407656,     `435` = 2.41284105666922, `436` = 2.87304300931647, `437` = 2.46339398769293,     `438` = 2.94459097140992, `439` = 2.44625020909451, `440` = 1.88518695389097,     `441` = 2.63410511427251, `442` = 3.31221841531284, `443` = 1.75003520014887,     `444` = 2.03294189166507, `445` = 1.66007689915753, `446` = 2.29814525739876,     `447` = 3.06648380940822, `448` = 2.57970479276396, `449` = 2.36683669531664,     `450` = 2.4670869173179, `451` = 2.44602851362862, `452` = 3.45053339543596,     `453` = 3.28071687825047, `454` = 3.04908277183995, `455` = 2.37763546512344,     `456` = 2.26398601372506, `457` = 2.692748575164, `458` = 2.62690602442052,     `459` = 2.71352920569489, `460` = 2.47429183434904, `461` = 2.4039247810575,     `462` = 1.93412621996201, `463` = 2.38480340226842, `464` = 2.07063510996225,     `465` = 2.40690117392684, `466` = 2.42420000654002, `467` = 2.81475506919669,     `468` = 2.20640905191678, `469` = 2.37632831310256, `470` = 3.53490867501887,     `471` = 3.41002468731006, `472` = 2.75092976639121, `473` = 3.09480651714885,     `474` = 1.90007305083701, `475` = 3.2296327868531, `476` = 3.02534506485739,     `477` = 2.53398829371899, `478` = 2.82791722535193, `479` = 2.55583773830625,     `480` = 2.59402715530063, `481` = 1.6781326990062, `482` = 2.87293840540908,     `483` = 4.03969129126323, `484` = 3.19450816106775, `485` = 2.68239952858409,     `486` = 2.39405541049845, `487` = 2.71100128720999, `488` = 3.00282156550285,     `489` = 3.40302266876215, `490` = 2.88352616157181, `491` = 3.52856064048011,     `492` = 2.62144967861979, `493` = 2.77538989742825, `494` = 3.59999333050544,     `495` = 6.16348972719813, `496` = 2.4891599433751, `497` = 2.37034460924193,     `498` = 2.59980779332976, `499` = 2.30071384805534, `500` = 3.07614227765401,     `501` = 2.73259013984369, `502` = 3.25338285299229, `503` = 2.04661688530079,     `504` = 2.119780819561, `505` = 3.11313609957979, `506` = 2.6988744349033,     `507` = 2.38395417253592, `508` = 2.18648950581266, `509` = 2.42837885798354,     `510` = 2.68221147267643, `511` = 2.25428068095068, `512` = 3.75887229099597,     `513` = 2.65473882617471, `514` = 2.69017623822354, `515` = 2.62515548587877,     `516` = 2.34064129442189, `517` = 2.37656062416954, `518` = 3.11073225841166,     `519` = 1.65824952962201, `520` = 3.05076882119208, `521` = 2.50896463090888,     `522` = 2.77691889731644, `523` = 2.48655516799708, `524` = 2.4847705304522,     `525` = 2.83484261483298, `526` = 2.39148791182408, `527` = 3.08293761712995,     `528` = 2.11610089991802, `529` = 1.5441706288409, `530` = 2.29338823560684,     `531` = 2.2357005930668, `532` = 2.00046452981165, `533` = 2.46775766392926,     `534` = 2.37518687841549, `535` = 2.26924539949773, `536` = 2.69708958988384,     `537` = 1.7759969284976, `538` = 2.87932697846107, `539` = 2.51924964421704,     `540` = 2.41448920694114, `541` = 2.73088979297616, `542` = 2.33592937775142,     `543` = 2.42699526496006, `544` = 3.26971833241992, `545` = 3.80927075812981,     `546` = 3.64604939844582, `547` = 1.96050051349709, `548` = 2.37166914445101,     `549` = 2.60110158015077, `550` = 2.19353040701009, `551` = 1.66039378190514,     `552` = 2.81717036355495, `553` = 2.63349707431426, `554` = 2.69710127484472,     `555` = 1.90798875869868, `556` = 2.31371567893383, `557` = 1.77090083956038,     `558` = 2.37391574467976, `559` = 2.50262689711419, `560` = 2.31168914410283,     `561` = 2.22625805533233, `562` = 1.68021749593895, `563` = 2.51377897825149,     `564` = 2.09808172086947, `565` = 3.09578583530429, `566` = 2.19900715901313,     `567` = 1.80979414421884, `568` = 1.78503396884665, `569` = 2.50774132675897,     `570` = 2.49239230729125, `571` = 2.76211802056802, `572` = 2.4495274017885,     `573` = 3.28892969636115, `574` = 3.15211213487484, `575` = 2.92840573999153,     `576` = 2.7042293900111, `577` = 2.94371744049618, `578` = 2.47580774375233,     `579` = 2.92455079876968, `580` = 2.57811464680771, `581` = 2.09501725666443,     `582` = 2.11233201384487, `583` = 2.17435383560045, `584` = 2.36979159264026,     `585` = 2.67342838683219, `586` = 2.56022536590253, `587` = 2.37232436135092,     `588` = 2.27233056465191, `589` = 3.0468428457455, `590` = 2.55069457032584,     `591` = 2.09756322003269, `592` = 2.40306812582161, `593` = 2.45500210452847,     `594` = 2.86907537820904, `595` = 2.60261574773351, `596` = 2.46107520830906,     `597` = 1.85902245529062, `598` = 2.89225570374173, `599` = 2.65436849639519,     `600` = 2.87087714348427, `601` = 3.46886542980082, `602` = 2.68512701414622,     `603` = 2.35003691394945, `604` = 2.14627270516146, `605` = 2.23384069990504,     `606` = 2.26441295743203, `607` = 2.85303023058625, `608` = 2.52519561937849,     `609` = 1.57105260574496, `610` = 2.37037349981258, `611` = 3.04865674785886,     `612` = 2.66980960831409, `613` = 2.26749788061542, `614` = 2.82468867713131,     `615` = 2.3195107615215, `616` = 2.45284107326388, `617` = 2.56240566991253,     `618` = 3.5032340625682, `619` = 2.99012848419003, `620` = 3.69815882893603,     `621` = 2.90806077391049, `622` = 2.69781322229088, `623` = 3.14076048190506,     `624` = 4.49059794128407, `625` = 3.74525948670074, `626` = 2.36112028298741,     `627` = 2.40385272685886, `628` = 2.6893053745018, `629` = 2.3797231366545,     `630` = 2.71343039320212, `631` = 2.24472670443739, `632` = 2.93449351293732,     `633` = 4.64415079258173, `634` = 2.94929885043176, `635` = 2.8726564625836,     `636` = 2.61383490293316, `637` = 3.26153429983134, `638` = 2.47400494380402,     `639` = 3.01176455064242, `640` = 3.49592172694681, `641` = 2.67957734578401,     `642` = 3.17453140868152, `643` = 2.32665270498733, `644` = 2.7575036297423,     `645` = 2.0689328843544, `646` = 2.46785376746714, `647` = 3.32570305967851,     `648` = 0.905248324266446, `649` = 2.50428948117561, `650` = 2.53912900337754,     `651` = 2.3826549275648, `652` = 2.44542191253417, `653` = 2.62469142433065,     `654` = 2.65637163809148, `655` = 2.66860851254179, `656` = 2.38249985819357,     `657` = 2.66226570688936, `658` = 3.3192449193186, `659` = 2.73111344992993,     `660` = 3.04282974391802, `661` = 2.45256085675311, `662` = 2.67768607034304,     `663` = 2.77783018778015, `664` = 2.1579712498587, `665` = 2.37298409942318,     `666` = 3.77862150624116, `667` = 2.11634477584323, `668` = 2.94397684292152,     `669` = 2.36024450269283, `670` = 1.96870553397572, `671` = 1.70461446504352,     `672` = 2.11940451882738, `673` = 1.7263870453371, `674` = 2.08704111428627,     `675` = 2.95687309973058, `676` = 2.37665447487459, `677` = 3.15422627810539,     `678` = 2.49702523812035, `679` = 1.92644836113277, `680` = 2.34875871370472,     `681` = 2.22844659869117, `682` = 2.28679608898358, `683` = 2.62823063420633,     `684` = 2.45143195137904, `685` = 2.8489110203038, `686` = 2.65175935979436,     `687` = 2.88524094060349, `688` = 2.5952722765178, `689` = 2.37231532291548,     `690` = 2.76339467172705, `691` = 2.8873289565435, `692` = 2.30150257336182,     `693` = 2.49468059867389, `694` = 2.9386886921381, `695` = 3.75746997650522,     `696` = 2.66568016818031, `697` = 2.4930667288634, `698` = 3.13380307686093,     `699` = 2.10019517768552, `700` = 2.38255703596884, `701` = 2.86056652465783,     `702` = 2.25938206522155, `703` = 2.89379813499127, `704` = 2.25180330762531,     `705` = 2.65134453007541, `706` = 2.49261895369649, `707` = 2.92482004635633,     `708` = 2.99960795197273, `709` = 2.39534315168548, `710` = 2.80968394898164,     `711` = 1.5365706856904, `712` = 2.36240206475222, `713` = 1.74480446929666,     `714` = 2.69272631893605, `715` = 2.51260627559957, `716` = 2.46876974298805,     `717` = 2.40833157695587, `718` = 3.3687784443709, `719` = 2.5060766692575,     `720` = 3.76322910561409, `721` = 2.68274467180769, `722` = 2.73776984498368,     `723` = 3.20084163854064, `724` = 2.15532930018422, `725` = 2.37168049406483,     `726` = 2.49101118391487, `727` = 2.64893383948362, `728` = 2.55000347491773,     `729` = 2.23662652396895, `730` = 3.20003639165197, `731` = 2.66800696736024,     `732` = 3.05525636675038, `733` = 1.18148846416636, `734` = 3.54271987460358,     `735` = 2.99515813678729, `736` = 2.39151522397183, `737` = 2.38585928232041,     `738` = 3.08656767068624, `739` = 2.61626780552435, `740` = 2.97115704778034,     `741` = 3.03439656895824, `742` = 2.37931601007593, `743` = 2.33883331819551,     `744` = 1.60348696140688, `745` = 1.11688145045703, `746` = 2.57736600422859,     `747` = 2.66802533594202, `748` = 2.26404981534278, `749` = 3.07219106215321,     `750` = 2.77050828138718, `751` = 2.428794530875, `752` = 2.44110931378247,     `753` = 2.99082624009212, `754` = 2.80966642752265, `755` = 2.89406725105139,     `756` = 2.77030884986535, `757` = 4.15811193019416, `758` = 2.57886699953155,     `759` = 2.2280269081183, `760` = 2.23759767417144, `761` = 2.5058665552149,     `762` = 2.35823648366692, `763` = 2.57415384248165, `764` = 3.10240981596749,     `765` = 2.37066373006279, `766` = 1.26531154683944, `767` = 3.17649132143359,     `768` = 2.75939408955155, `769` = 2.92685172692651, `770` = 2.3324407578609,     `771` = 2.65018850565418, `772` = 1.61809174258647, `773` = 2.71163104961438,     `774` = 2.7686205447316, `775` = 2.07510786293649, `776` = 2.19346015793001,     `777` = 3.05666417694624, `778` = 2.61234105858666, `779` = 2.46128612603711,     `780` = 2.74057681523593, `781` = 1.82127812685098, `782` = 2.95877261683777,     `783` = 1.74839601569804, `784` = 1.88235766204648, `785` = 2.82663471616036,     `786` = 3.00464332237119, `787` = 1.84219985532157, `788` = 3.04630071488416,     `789` = 2.83071631673509, `790` = 2.50017115705951, `791` = 2.37261285446862,     `792` = 1.98067493063167, `793` = 2.47455687271204, `794` = 3.62089358349168,     `795` = 1.73327011655719, `796` = 1.99643069057204, `797` = 4.06628378549785,     `798` = 1.90545718313818, `799` = 1.36597756677296, `800` = 2.60145375327965    ), assign = list(`rcs(age, 4)` = 2:4, treat = 5L, sex = 6L,         `rcs(age, 4):treat` = 7:9, `rcs(age, 4):sex` = 10:12,         `treat:sex` = 13L, `rcs(age, 4):treat:sex` = 14:16),     qr = structure(list(qr = structure(c(-28.2842712474619, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 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"333", "334", "335", "336", "337", "338", "339", "340",         "341", "342", "343", "344", "345", "346", "347", "348",         "349", "350", "351", "352", "353", "354", "355", "356",         "357", "358", "359", "360", "361", "362", "363", "364",         "365", "366", "367", "368", "369", "370", "371", "372",         "373", "374", "375", "376", "377", "378", "379", "380",         "381", "382", "383", "384", "385", "386", "387", "388",         "389", "390", "391", "392", "393", "394", "395", "396",         "397", "398", "399", "400", "401", "402", "403", "404",         "405", "406", "407", "408", "409", "410", "411", "412",         "413", "414", "415", "416", "417", "418", "419", "420",         "421", "422", "423", "424", "425", "426", "427", "428",         "429", "430", "431", "432", "433", "434", "435", "436",         "437", "438", "439", "440", "441", "442", "443", "444",         "445", "446", "447", "448", "449", "450", "451", "452",         "453", "454", "455", "456", "457", "458", "459", "460",         "461", "462", "463", "464", "465", "466", "467", "468",         "469", "470", "471", "472", "473", "474", "475", "476",         "477", "478", "479", "480", "481", "482", "483", "484",         "485", "486", "487", "488", "489", "490", "491", "492",         "493", "494", "495", "496", "497", "498", "499", "500",         "501", "502", "503", "504", "505", "506", "507", "508",         "509", "510", "511", "512", "513", "514", "515", "516",         "517", "518", "519", "520", "521", "522", "523", "524",         "525", "526", "527", "528", "529", "530", "531", "532",         "533", "534", "535", "536", "537", "538", "539", "540",         "541", "542", "543", "544", "545", "546", "547", "548",         "549", "550", "551", "552", "553", "554", "555", "556",         "557", "558", "559", "560", "561", "562", "563", "564",         "565", "566", "567", "568", "569", "570", "571", "572",         "573", "574", "575", "576", "577", "578", "579", "580",         "581", "582", "583", "584", "585", "586", "587", "588",         "589", "590", "591", "592", "593", "594", "595", "596",         "597", "598", "599", "600", "601", "602", "603", "604",         "605", "606", "607", "608", "609", "610", "611", "612",         "613", "614", "615", "616", "617", "618", "619", "620",         "621", "622", "623", "624", "625", "626", "627", "628",         "629", "630", "631", "632", "633", "634", "635", "636",         "637", "638", "639", "640", "641", "642", "643", "644",         "645", "646", "647", "648", "649", "650", "651", "652",         "653", "654", "655", "656", "657", "658", "659", "660",         "661", "662", "663", "664", "665", "666", "667", "668",         "669", "670", "671", "672", "673", "674", "675", "676",         "677", "678", "679", "680", "681", "682", "683", "684",         "685", "686", "687", "688", "689", "690", "691", "692",         "693", "694", "695", "696", "697", "698", "699", "700",         "701", "702", "703", "704", "705", "706", "707", "708",         "709", "710", "711", "712", "713", "714", "715", "716",         "717", "718", "719", "720", "721", "722", "723", "724",         "725", "726", "727", "728", "729", "730", "731", "732",         "733", "734", "735", "736", "737", "738", "739", "740",         "741", "742", "743", "744", "745", "746", "747", "748",         "749", "750", "751", "752", "753", "754", "755", "756",         "757", "758", "759", "760", "761", "762", "763", "764",         "765", "766", "767", "768", "769", "770", "771", "772",         "773", "774", "775", "776", "777", "778", "779", "780",         "781", "782", "783", "784", "785", "786", "787", "788",         "789", "790", "791", "792", "793", "794", "795", "796",         "797", "798", "799", "800"), c("Intercept", "age", "age'",         "age''", "treat=placebo", "sex=male", "age * treat=placebo",         "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",         "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",         "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",         "age'' * treat=placebo * sex=male"))), qraux = c(1.03535533905933,     1.06138486916177, 1.00204733190792, 1.00055266292105, 1.0290463838589,     1.03789725089091, 1.01648463412155, 1.00068622124879, 1.04076644795546,     1.04618259811035, 1.01988151430044, 1.03809279846412, 1.03661305226105,     1.12551360475444, 1.02472116042532, 1.04703590815754), pivot = 1:16,         tol = 2.22044604925031e-16, rank = 16L), class = "qr"),     df.residual = 784L, var = structure(c(0.836425390502694,     -0.0212848834556598, 0.0512825699211176, -0.184115577200964,     -0.836425390502695, -0.836425390502696, 0.0212848834556598,     -0.0512825699211177, 0.184115577200964, 0.0212848834556598,     -0.0512825699211177, 0.184115577200964, 0.836425390502696,     -0.0212848834556598, 0.0512825699211177, -0.184115577200964,     -0.0212848834556598, 0.000551286595299535, -0.00140546909686742,     0.00515538101632445, 0.0212848834556598, 0.0212848834556599,     -0.000551286595299535, 0.00140546909686742, -0.00515538101632445,     -0.000551286595299535, 0.00140546909686742, -0.00515538101632445,     -0.0212848834556599, 0.000551286595299535, -0.00140546909686742,     0.00515538101632445, 0.0512825699211176, -0.00140546909686742,     0.00463878381986734, -0.0189439273640901, -0.0512825699211177,     -0.0512825699211178, 0.00140546909686742, -0.00463878381986734,     0.0189439273640901, 0.00140546909686742, -0.00463878381986734,     0.0189439273640901, 0.0512825699211178, -0.00140546909686742,     0.00463878381986735, -0.0189439273640901, -0.184115577200964,     0.00515538101632445, -0.0189439273640901, 0.0817449413547493,     0.184115577200964, 0.184115577200965, -0.00515538101632445,     0.0189439273640901, -0.0817449413547494, -0.00515538101632446,     0.0189439273640901, -0.0817449413547494, -0.184115577200965,     0.00515538101632446, -0.0189439273640902, 0.0817449413547495,     -0.836425390502695, 0.0212848834556598, -0.0512825699211177,     0.184115577200964, 1.78217595691818, 0.836425390502696, -0.0457435036357167,     0.114344607106148, -0.419224551439489, -0.0212848834556598,     0.0512825699211177, -0.184115577200964, -1.78217595691818,     0.0457435036357167, -0.114344607106148, 0.419224551439489,     -0.836425390502696, 0.0212848834556599, -0.0512825699211178,     0.184115577200965, 0.836425390502696, 2.24452904108481, -0.0212848834556599,     0.0512825699211178, -0.184115577200965, -0.0571784236329693,     0.138187486464013, -0.499407405474335, -2.24452904108481,     0.0571784236329693, -0.138187486464013, 0.499407405474335,     0.0212848834556598, -0.000551286595299535, 0.00140546909686742,     -0.00515538101632445, -0.0457435036357167, -0.0212848834556599,     0.00119429035854966, -0.00314912019539668, 0.0117757979020482,     0.000551286595299535, -0.00140546909686742, 0.00515538101632445,     0.0457435036357167, -0.00119429035854966, 0.00314912019539668,     -0.0117757979020482, -0.0512825699211177, 0.00140546909686742,     -0.00463878381986734, 0.0189439273640901, 0.114344607106148,     0.0512825699211178, -0.00314912019539668, 0.0106133933039199,     -0.043988538139749, -0.00140546909686742, 0.00463878381986734,     -0.0189439273640901, -0.114344607106148, 0.00314912019539668,     -0.0106133933039199, 0.043988538139749, 0.184115577200964,     -0.00515538101632445, 0.0189439273640901, -0.0817449413547494,     -0.419224551439489, -0.184115577200965, 0.0117757979020482,     -0.043988538139749, 0.193194518446538, 0.00515538101632445,     -0.0189439273640901, 0.0817449413547493, 0.41922455143949,     -0.0117757979020482, 0.043988538139749, -0.193194518446538,     0.0212848834556598, -0.000551286595299535, 0.00140546909686742,     -0.00515538101632446, -0.0212848834556598, -0.0571784236329693,     0.000551286595299535, -0.00140546909686742, 0.00515538101632445,     0.00147933596588392, -0.00375673851431083, 0.0138385171219278,     0.0571784236329693, -0.00147933596588392, 0.00375673851431083,     -0.0138385171219278, -0.0512825699211177, 0.00140546909686742,     -0.00463878381986734, 0.0189439273640901, 0.0512825699211177,     0.138187486464013, -0.00140546909686742, 0.00463878381986734,     -0.0189439273640901, -0.00375673851431083, 0.0120057031151827,     -0.0489004666962014, -0.138187486464013, 0.00375673851431082,     -0.0120057031151827, 0.0489004666962014, 0.184115577200964,     -0.00515538101632445, 0.0189439273640901, -0.0817449413547494,     -0.184115577200964, -0.499407405474335, 0.00515538101632445,     -0.0189439273640901, 0.0817449413547493, 0.0138385171219278,     -0.0489004666962014, 0.210101009164533, 0.499407405474335,     -0.0138385171219278, 0.0489004666962014, -0.210101009164533,     0.836425390502696, -0.0212848834556599, 0.0512825699211178,     -0.184115577200965, -1.78217595691818, -2.24452904108481,     0.0457435036357167, -0.114344607106148, 0.41922455143949,     0.0571784236329693, -0.138187486464013, 0.499407405474335,     4.01392907467183, -0.103257489020622, 0.257419561496252,     -0.941267592738115, -0.0212848834556598, 0.000551286595299535,     -0.00140546909686742, 0.00515538101632446, 0.0457435036357167,     0.0571784236329693, -0.00119429035854966, 0.00314912019539668,     -0.0117757979020482, -0.00147933596588392, 0.00375673851431082,     -0.0138385171219278, -0.103257489020622, 0.00270331398813018,     -0.00710766519948597, 0.0265004210700546, 0.0512825699211177,     -0.00140546909686742, 0.00463878381986735, -0.0189439273640902,     -0.114344607106148, -0.138187486464013, 0.00314912019539668,     -0.0106133933039199, 0.043988538139749, 0.00375673851431083,     -0.0120057031151827, 0.0489004666962014, 0.257419561496252,     -0.00710766519948597, 0.0236181254277507, -0.0972117419383224,     -0.184115577200964, 0.00515538101632445, -0.0189439273640901,     0.0817449413547495, 0.419224551439489, 0.499407405474335,     -0.0117757979020482, 0.043988538139749, -0.193194518446538,     -0.0138385171219278, 0.0489004666962014, -0.210101009164533,     -0.941267592738115, 0.0265004210700546, -0.0972117419383224,     0.42226391498444), dim = c(16L, 16L), dimnames = list(c("Intercept",     "age", "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"), c("Intercept", "age",     "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"))), stats = c(n = 800,     `Model L.R.` = 198.733217877431, d.f. = 15, R2 = 0.219965026393617,     g = 0.585082032793052, Sigma = 1.05797963607968), linear.predictors = c(`1` = 1.8273464762968,     `2` = 2.6542796288188, `3` = 2.91235879550687, `4` = 2.62632478687051,     `5` = 2.37478067233776, `6` = 2.57126669833247, `7` = 2.29342830409831,     `8` = 2.91272324756385, `9` = 2.7720149889747, `10` = 2.61802501930452,     `11` = 2.83995582973133, `12` = 3.15822090879926, `13` = 2.7318330139736,     `14` = 0.923092063185215, `15` = 2.35638427355456, `16` = 3.21291450377986,     `17` = 2.85930487738867, `18` = 1.85471780857574, `19` = 2.59507849617468,     `20` = 2.77516156003148, `21` = 2.37468336722965, `22` = 2.94734075955842,     `23` = 2.71890305200674, `24` = 2.56690580859943, `25` = 2.62312595210793,     `26` = 2.69985921118831, `27` = 2.46142105713551, `28` = 4.81182749551602,     `29` = 1.78100545234006, `30` = 2.51087836642562, `31` = 2.18383381057564,     `32` = 3.12042045378319, `33` = 2.962998524365, `34` = 2.17134047276968,     `35` = 2.49370220032693, `36` = 2.95708295768924, `37` = 4.12990022922827,     `38` = 2.68438147115392, `39` = 2.20205567454462, `40` = 1.89621933065192,     `41` = 3.17300922223564, `42` = 1.36495515601018, `43` = 4.9162768756297,     `44` = 2.34843367978997, `45` = 2.2828688390031, `46` = 2.47656065356765,     `47` = 3.35155981290649, `48` = 2.68466198933939, `49` = 1.72312215469336,     `50` = 2.5545423995087, `51` = 2.75451955418949, `52` = 2.82193431350933,     `53` = 2.40214416391366, `54` = 0.959203672924118, `55` = 2.43423806672798,     `56` = 2.38707792981996, `57` = 2.37029134741965, `58` = 2.24561426606161,     `59` = 2.30349409111093, `60` = 2.43894245579633, `61` = 2.82061452685481,     `62` = 3.40279330285509, `63` = 2.02110598950698, `64` = 2.43980467959036,     `65` = 2.55818586752441, `66` = 3.81749524286754, `67` = 2.55797249452663,     `68` = 1.86026293864306, `69` = 2.64852423658387, `70` = 2.39078281119623,     `71` = 4.20728393693173, `72` = 2.73321470694733, `73` = 2.13299125795756,     `74` = 2.40078521835743, `75` = 2.38732388647639, `76` = 2.48663441342883,     `77` = 2.48319236767406, `78` = 3.33474920590903, `79` = 2.72652344572814,     `80` = 2.502890404923, `81` = 2.38653230290044, `82` = 2.81510053286542,     `83` = 2.48414658771294, `84` = 2.62268592379984, `85` = 3.0651368477459,     `86` = 3.15791582696985, `87` = 2.24559620887642, `88` = 3.13179459683268,     `89` = 1.97357557764259, `90` = 2.77282308095323, `91` = 2.74016188199839,     `92` = 2.45176950529484, `93` = 3.32531928953431, `94` = 2.19751752606572,     `95` = 2.72674714579747, `96` = 2.42192340543888, `97` = 1.93076371222272,     `98` = 3.62929473538996, `99` = 1.35369434987869, `100` = 2.2547370962648,     `101` = 1.94409001325824, `102` = 2.62880112621963, `103` = 2.77137140917496,     `104` = 1.95738338715501, `105` = 2.72049174848199, `106` = 2.40243453220378,     `107` = 3.09735812074682, `108` = 2.75153859240597, `109` = 2.7634794003779,     `110` = 2.05813014540498, `111` = 2.65985862884668, `112` = 2.46522299246837,     `113` = 1.5703781919029, `114` = 2.69035917134868, `115` = 4.20861430662284,     `116` = 2.37125443702692, `117` = 2.36705613621479, `118` = 2.85308469084743,     `119` = 2.5415194010717, `120` = 3.15710460382206, `121` = 2.77865444148754,     `122` = 3.2954859943684, `123` = 2.70726046586218, `124` = 2.42473855283583,     `125` = 2.75546009888392, `126` = 1.93535012472394, `127` = 2.21956899382337,     `128` = 2.48911632772296, `129` = 2.93859012435979, `130` = 2.5501671026405,     `131` = 2.86395308616895, `132` = 2.9325665637652, `133` = 2.49741866101599,     `134` = 1.15477002080841, `135` = 2.85906509967744, `136` = 3.21480202919142,     `137` = 2.64844922449584, `138` = 1.81624171593204, `139` = 2.50256109585425,     `140` = 2.06026174870399, `141` = 2.41347967088569, `142` = 2.82647702488726,     `143` = 3.28776560599656, `144` = 2.74957705273186, `145` = 2.06055571226601,     `146` = 3.23783901748259, `147` = 3.0579009438373, `148` = 3.23597166652999,     `149` = 2.21636165136686, `150` = 2.77037519109151, `151` = 3.14335945231959,     `152` = 2.39156945942855, `153` = 2.78704915422625, `154` = 2.63941496646989,     `155` = 2.58610032037074, `156` = 2.70144690395644, `157` = 2.90426129456847,     `158` = 2.88420138031662, `159` = 2.39479076403391, `160` = 2.80509075142565,     `161` = 2.37161390962301, `162` = 2.41992065646662, `163` = 2.9052094221091,     `164` = 3.22550263914549, `165` = 1.73315464210068, `166` = 2.43142907624064,     `167` = 3.87849162526757, `168` = 1.08194647347416, `169` = 2.84365960719609,     `170` = 2.31147636681322, `171` = 2.76523847380424, `172` = 2.88117058586849,     `173` = 2.04732981907891, `174` = 2.07915665869094, `175` = 3.08110988123108,     `176` = 2.04592349294163, `177` = 2.56700092604082, `178` = 2.77907881429002,     `179` = 3.17846678411757, `180` = 2.65038681640476, `181` = 2.92913414157109,     `182` = 2.63780063630832, `183` = 2.45550173098484, `184` = 2.78684913414774,     `185` = 2.60955074916775, `186` = 2.67430224080449, `187` = 2.3114710982275,     `188` = 2.41392007655519, `189` = 2.85514775159917, `190` = 2.82657039075926,     `191` = 2.27203654778748, `192` = 2.37030879867869, `193` = 2.78189657176958,     `194` = 3.01888613570589, `195` = 2.66860452934713, `196` = 2.5229466489951,     `197` = 1.96437460612657, `198` = 2.29586715480886, `199` = 2.53040196702745,     `200` = 2.17979970489295, `201` = 2.99968367627667, `202` = 2.99303164445703,     `203` = 2.09396489715103, `204` = 2.63747526906564, `205` = 2.63430036234606,     `206` = 1.62346827950003, `207` = 2.86309558489206, `208` = 1.26999728769122,     `209` = 1.72020445809491, `210` = 2.91311906510036, `211` = 2.43319556057215,     `212` = 2.39109250097856, `213` = 1.6492458519465, `214` = 1.99197336957605,     `215` = 2.55334196204763, `216` = 2.41675268048625, `217` = 2.4118017030696,     `218` = 1.82904370247393, `219` = 1.96972936169113, `220` = 4.48347814044753,     `221` = 2.43357782876622, `222` = 2.88429652654287, `223` = 3.21160807310651,     `224` = 2.85022603796191, `225` = 2.52882699909125, `226` = 2.0957307798493,     `227` = 1.87895581468756, `228` = 3.18065900342439, `229` = 2.47307935938645,     `230` = 2.78536931497109, `231` = 2.19076727042225, `232` = 2.41128760676261,     `233` = 2.37131981545313, `234` = 2.55303760371157, `235` = 2.9199693414722,     `236` = 2.60397022793523, `237` = 2.35726095482352, `238` = 2.87899977284871,     `239` = 3.13468726875723, `240` = 2.58696063484866, `241` = 2.93480037321797,     `242` = 2.52196476517132, `243` = 2.23386570374798, `244` = 1.93400574589039,     `245` = 4.36159183616138, `246` = 3.30181888171832, `247` = 2.87275271626973,     `248` = 2.68680493967785, `249` = 2.9472147026804, `250` = 2.67701679026062,     `251` = 2.43874412812383, `252` = 2.69832522750769, `253` = 2.39815127697227,     `254` = 3.27416880961077, `255` = 2.89420394072003, `256` = 2.46206595690653,     `257` = 3.02161363337767, `258` = 2.37253590878611, `259` = 3.14803716395551,     `260` = 2.30477591805902, `261` = 1.20593814723825, `262` = 3.06200642364828,     `263` = 2.99889777179038, `264` = 2.14282555354455, `265` = 2.01335804244271,     `266` = 1.32272589615639, `267` = 2.45487059993715, `268` = 1.51492463330488,     `269` = 2.31193380003934, `270` = 2.69797296272068, `271` = 3.27746164011552,     `272` = 2.37320371671454, `273` = 2.44765266363073, `274` = 2.76426830101752,     `275` = 3.14991474578698, `276` = 1.91281943159906, `277` = 1.47871083226282,     `278` = 2.66139783025367, `279` = 3.0068312744844, `280` = 2.40803144249423,     `281` = 3.19967771868625, `282` = 2.38442996368075, `283` = 2.74742751208274,     `284` = 2.74151591243007, `285` = 2.53430303102901, `286` = 2.13304771295534,     `287` = 3.03502047926305, `288` = 2.40927804101479, `289` = 2.84449715484632,     `290` = 2.69872269248432, `291` = 4.2167466822975, `292` = 2.86134949044519,     `293` = 2.3240990316239, `294` = 2.58529458327362, `295` = 2.589177826791,     `296` = 1.65132282111858, `297` = 4.12860304687622, `298` = 2.9788838201833,     `299` = 2.03941888516452, `300` = 2.74426480590544, `301` = 2.70375821808304,     `302` = 2.42445684795484, `303` = 3.91189357427476, `304` = 2.46328928597437,     `305` = 2.71213347425702, `306` = 2.75078140564015, `307` = 2.39519608769782,     `308` = 1.97652601737173, `309` = 2.49237836450657, `310` = 3.02437447193905,     `311` = 2.63718302354101, `312` = 2.85937900798305, `313` = 2.54616629469414,     `314` = 2.7903511279751, `315` = 1.61496522808629, `316` = 2.84844468900093,     `317` = 2.37133176406135, `318` = 2.2342212333381, `319` = 2.39493857884649,     `320` = 1.88745641232398, `321` = 2.39649029076404, `322` = 2.25072436441753,     `323` = 2.36943155133288, `324` = 2.42743673231805, `325` = 2.97791930992207,     `326` = 2.09234168848051, `327` = 2.36240634177489, `328` = 1.1105791288804,     `329` = 2.37013324391512, `330` = 2.26471337954389, `331` = 3.05444517174529,     `332` = 2.38980742161709, `333` = 2.37786232477323, `334` = 1.78990970602347,     `335` = 2.70944370588652, `336` = 3.5683141888971, `337` = 2.44134246962534,     `338` = 2.25972174620225, `339` = 3.00918859646008, `340` = 2.18586223684944,     `341` = 2.74330408539129, `342` = 2.86867416819939, `343` = 2.06826131293291,     `344` = 3.63151763911666, `345` = 2.85886713213127, `346` = 2.21985116812454,     `347` = 2.3815434508579, `348` = 2.41350923720854, `349` = 2.89843556037318,     `350` = 2.23898268719741, `351` = 1.29584077798455, `352` = 2.51159663534582,     `353` = 2.85257238541717, `354` = 1.77903202336168, `355` = 2.55028022270778,     `356` = 2.44782824590644, `357` = 2.46271608796213, `358` = 2.51685373998414,     `359` = 2.41583566834669, `360` = 2.3728907565472, `361` = 2.369454773508,     `362` = 3.29250303236263, `363` = 2.66285306254625, `364` = 2.49029698546202,     `365` = 1.05306070502084, `366` = 1.86455368138798, `367` = 2.88031132181863,     `368` = 2.30036007798452, `369` = 2.11837578996616, `370` = 2.40083223927156,     `371` = 2.29153752579909, `372` = 2.44953094562367, `373` = 2.62721713144288,     `374` = 3.9441196218975, `375` = 2.9557674025679, `376` = 3.66113529407979,     `377` = 2.32038023868864, `378` = 2.87211440331623, `379` = 2.39293831188164,     `380` = 2.51344798573844, `381` = 4.63994090353258, `382` = 2.42205148785717,     `383` = 2.33462597983624, `384` = 2.23050814284012, `385` = 2.88331664462298,     `386` = 4.55690943309283, `387` = 2.58261047793064, `388` = 2.54193081869031,     `389` = 4.52295683194619, `390` = 2.14060027084606, `391` = 2.99869748680244,     `392` = 2.26250701192594, `393` = 2.01249031809818, `394` = 2.97085385284773,     `395` = 2.64468402413129, `396` = 2.33395576477012, `397` = 2.63502066231726,     `398` = 2.24915693049968, `399` = 2.58574738517705, `400` = 2.3716272899945,     `401` = 1.69024305202187, `402` = 3.19926868492288, `403` = 1.77606477443688,     `404` = 1.64318193529478, `405` = 2.83237040517646, `406` = 2.88901243357697,     `407` = 2.40363001910485, `408` = 2.56124257441973, `409` = 3.15661085878286,     `410` = 3.01754450476663, `411` = 1.66908846281502, `412` = 3.04638461915898,     `413` = 2.4902496498083, `414` = 2.32355269847258, `415` = 3.20708965017669,     `416` = 2.94047492110776, `417` = 3.039308895143, `418` = 2.4463121970276,     `419` = 2.85372829272876, `420` = 2.52921117908114, `421` = 2.20126381165548,     `422` = 3.67012958834098, `423` = 2.67998235983964, `424` = 2.48875766442306,     `425` = 2.98395742646305, `426` = 2.86885943428284, `427` = 2.36948098545145,     `428` = 2.41007394201668, `429` = 3.32665939652036, `430` = 2.60667304612803,     `431` = 2.3375066389785, `432` = 3.1650659263681, `433` = 2.87830655726086,     `434` = 2.24977346407656, `435` = 2.41284105666922, `436` = 2.87304300931647,     `437` = 2.46339398769293, `438` = 2.94459097140992, `439` = 2.44625020909451,     `440` = 1.88518695389097, `441` = 2.63410511427251, `442` = 3.31221841531284,     `443` = 1.75003520014887, `444` = 2.03294189166507, `445` = 1.66007689915753,     `446` = 2.29814525739876, `447` = 3.06648380940822, `448` = 2.57970479276396,     `449` = 2.36683669531664, `450` = 2.4670869173179, `451` = 2.44602851362862,     `452` = 3.45053339543596, `453` = 3.28071687825047, `454` = 3.04908277183995,     `455` = 2.37763546512344, `456` = 2.26398601372506, `457` = 2.692748575164,     `458` = 2.62690602442052, `459` = 2.71352920569489, `460` = 2.47429183434904,     `461` = 2.4039247810575, `462` = 1.93412621996201, `463` = 2.38480340226842,     `464` = 2.07063510996225, `465` = 2.40690117392684, `466` = 2.42420000654002,     `467` = 2.81475506919669, `468` = 2.20640905191678, `469` = 2.37632831310256,     `470` = 3.53490867501887, `471` = 3.41002468731006, `472` = 2.75092976639121,     `473` = 3.09480651714885, `474` = 1.90007305083701, `475` = 3.2296327868531,     `476` = 3.02534506485739, `477` = 2.53398829371899, `478` = 2.82791722535193,     `479` = 2.55583773830625, `480` = 2.59402715530063, `481` = 1.6781326990062,     `482` = 2.87293840540908, `483` = 4.03969129126323, `484` = 3.19450816106775,     `485` = 2.68239952858409, `486` = 2.39405541049845, `487` = 2.71100128720999,     `488` = 3.00282156550285, `489` = 3.40302266876215, `490` = 2.88352616157181,     `491` = 3.52856064048011, `492` = 2.62144967861979, `493` = 2.77538989742825,     `494` = 3.59999333050544, `495` = 6.16348972719813, `496` = 2.4891599433751,     `497` = 2.37034460924193, `498` = 2.59980779332976, `499` = 2.30071384805534,     `500` = 3.07614227765401, `501` = 2.73259013984369, `502` = 3.25338285299229,     `503` = 2.04661688530079, `504` = 2.119780819561, `505` = 3.11313609957979,     `506` = 2.6988744349033, `507` = 2.38395417253592, `508` = 2.18648950581266,     `509` = 2.42837885798354, `510` = 2.68221147267643, `511` = 2.25428068095068,     `512` = 3.75887229099597, `513` = 2.65473882617471, `514` = 2.69017623822354,     `515` = 2.62515548587877, `516` = 2.34064129442189, `517` = 2.37656062416954,     `518` = 3.11073225841166, `519` = 1.65824952962201, `520` = 3.05076882119208,     `521` = 2.50896463090888, `522` = 2.77691889731644, `523` = 2.48655516799708,     `524` = 2.4847705304522, `525` = 2.83484261483298, `526` = 2.39148791182408,     `527` = 3.08293761712995, `528` = 2.11610089991802, `529` = 1.5441706288409,     `530` = 2.29338823560684, `531` = 2.2357005930668, `532` = 2.00046452981165,     `533` = 2.46775766392926, `534` = 2.37518687841549, `535` = 2.26924539949773,     `536` = 2.69708958988384, `537` = 1.7759969284976, `538` = 2.87932697846107,     `539` = 2.51924964421704, `540` = 2.41448920694114, `541` = 2.73088979297616,     `542` = 2.33592937775142, `543` = 2.42699526496006, `544` = 3.26971833241992,     `545` = 3.80927075812981, `546` = 3.64604939844582, `547` = 1.96050051349709,     `548` = 2.37166914445101, `549` = 2.60110158015077, `550` = 2.19353040701009,     `551` = 1.66039378190514, `552` = 2.81717036355495, `553` = 2.63349707431426,     `554` = 2.69710127484472, `555` = 1.90798875869868, `556` = 2.31371567893383,     `557` = 1.77090083956038, `558` = 2.37391574467976, `559` = 2.50262689711419,     `560` = 2.31168914410283, `561` = 2.22625805533233, `562` = 1.68021749593895,     `563` = 2.51377897825149, `564` = 2.09808172086947, `565` = 3.09578583530429,     `566` = 2.19900715901313, `567` = 1.80979414421884, `568` = 1.78503396884665,     `569` = 2.50774132675897, `570` = 2.49239230729125, `571` = 2.76211802056802,     `572` = 2.4495274017885, `573` = 3.28892969636115, `574` = 3.15211213487484,     `575` = 2.92840573999153, `576` = 2.7042293900111, `577` = 2.94371744049618,     `578` = 2.47580774375233, `579` = 2.92455079876968, `580` = 2.57811464680771,     `581` = 2.09501725666443, `582` = 2.11233201384487, `583` = 2.17435383560045,     `584` = 2.36979159264026, `585` = 2.67342838683219, `586` = 2.56022536590253,     `587` = 2.37232436135092, `588` = 2.27233056465191, `589` = 3.0468428457455,     `590` = 2.55069457032584, `591` = 2.09756322003269, `592` = 2.40306812582161,     `593` = 2.45500210452847, `594` = 2.86907537820904, `595` = 2.60261574773351,     `596` = 2.46107520830906, `597` = 1.85902245529062, `598` = 2.89225570374173,     `599` = 2.65436849639519, `600` = 2.87087714348427, `601` = 3.46886542980082,     `602` = 2.68512701414622, `603` = 2.35003691394945, `604` = 2.14627270516146,     `605` = 2.23384069990504, `606` = 2.26441295743203, `607` = 2.85303023058625,     `608` = 2.52519561937849, `609` = 1.57105260574496, `610` = 2.37037349981258,     `611` = 3.04865674785886, `612` = 2.66980960831409, `613` = 2.26749788061542,     `614` = 2.82468867713131, `615` = 2.3195107615215, `616` = 2.45284107326388,     `617` = 2.56240566991253, `618` = 3.5032340625682, `619` = 2.99012848419003,     `620` = 3.69815882893603, `621` = 2.90806077391049, `622` = 2.69781322229088,     `623` = 3.14076048190506, `624` = 4.49059794128407, `625` = 3.74525948670074,     `626` = 2.36112028298741, `627` = 2.40385272685886, `628` = 2.6893053745018,     `629` = 2.3797231366545, `630` = 2.71343039320212, `631` = 2.24472670443739,     `632` = 2.93449351293732, `633` = 4.64415079258173, `634` = 2.94929885043176,     `635` = 2.8726564625836, `636` = 2.61383490293316, `637` = 3.26153429983134,     `638` = 2.47400494380402, `639` = 3.01176455064242, `640` = 3.49592172694681,     `641` = 2.67957734578401, `642` = 3.17453140868152, `643` = 2.32665270498733,     `644` = 2.7575036297423, `645` = 2.0689328843544, `646` = 2.46785376746714,     `647` = 3.32570305967851, `648` = 0.905248324266446, `649` = 2.50428948117561,     `650` = 2.53912900337754, `651` = 2.3826549275648, `652` = 2.44542191253417,     `653` = 2.62469142433065, `654` = 2.65637163809148, `655` = 2.66860851254179,     `656` = 2.38249985819357, `657` = 2.66226570688936, `658` = 3.3192449193186,     `659` = 2.73111344992993, `660` = 3.04282974391802, `661` = 2.45256085675311,     `662` = 2.67768607034304, `663` = 2.77783018778015, `664` = 2.1579712498587,     `665` = 2.37298409942318, `666` = 3.77862150624116, `667` = 2.11634477584323,     `668` = 2.94397684292152, `669` = 2.36024450269283, `670` = 1.96870553397572,     `671` = 1.70461446504352, `672` = 2.11940451882738, `673` = 1.7263870453371,     `674` = 2.08704111428627, `675` = 2.95687309973058, `676` = 2.37665447487459,     `677` = 3.15422627810539, `678` = 2.49702523812035, `679` = 1.92644836113277,     `680` = 2.34875871370472, `681` = 2.22844659869117, `682` = 2.28679608898358,     `683` = 2.62823063420633, `684` = 2.45143195137904, `685` = 2.8489110203038,     `686` = 2.65175935979436, `687` = 2.88524094060349, `688` = 2.5952722765178,     `689` = 2.37231532291548, `690` = 2.76339467172705, `691` = 2.8873289565435,     `692` = 2.30150257336182, `693` = 2.49468059867389, `694` = 2.9386886921381,     `695` = 3.75746997650522, `696` = 2.66568016818031, `697` = 2.4930667288634,     `698` = 3.13380307686093, `699` = 2.10019517768552, `700` = 2.38255703596884,     `701` = 2.86056652465783, `702` = 2.25938206522155, `703` = 2.89379813499127,     `704` = 2.25180330762531, `705` = 2.65134453007541, `706` = 2.49261895369649,     `707` = 2.92482004635633, `708` = 2.99960795197273, `709` = 2.39534315168548,     `710` = 2.80968394898164, `711` = 1.5365706856904, `712` = 2.36240206475222,     `713` = 1.74480446929666, `714` = 2.69272631893605, `715` = 2.51260627559957,     `716` = 2.46876974298805, `717` = 2.40833157695587, `718` = 3.3687784443709,     `719` = 2.5060766692575, `720` = 3.76322910561409, `721` = 2.68274467180769,     `722` = 2.73776984498368, `723` = 3.20084163854064, `724` = 2.15532930018422,     `725` = 2.37168049406483, `726` = 2.49101118391487, `727` = 2.64893383948362,     `728` = 2.55000347491773, `729` = 2.23662652396895, `730` = 3.20003639165197,     `731` = 2.66800696736024, `732` = 3.05525636675038, `733` = 1.18148846416636,     `734` = 3.54271987460358, `735` = 2.99515813678729, `736` = 2.39151522397183,     `737` = 2.38585928232041, `738` = 3.08656767068624, `739` = 2.61626780552435,     `740` = 2.97115704778034, `741` = 3.03439656895824, `742` = 2.37931601007593,     `743` = 2.33883331819551, `744` = 1.60348696140688, `745` = 1.11688145045703,     `746` = 2.57736600422859, `747` = 2.66802533594202, `748` = 2.26404981534278,     `749` = 3.07219106215321, `750` = 2.77050828138718, `751` = 2.428794530875,     `752` = 2.44110931378247, `753` = 2.99082624009212, `754` = 2.80966642752265,     `755` = 2.89406725105139, `756` = 2.77030884986535, `757` = 4.15811193019416,     `758` = 2.57886699953155, `759` = 2.2280269081183, `760` = 2.23759767417144,     `761` = 2.5058665552149, `762` = 2.35823648366692, `763` = 2.57415384248165,     `764` = 3.10240981596749, `765` = 2.37066373006279, `766` = 1.26531154683944,     `767` = 3.17649132143359, `768` = 2.75939408955155, `769` = 2.92685172692651,     `770` = 2.3324407578609, `771` = 2.65018850565418, `772` = 1.61809174258647,     `773` = 2.71163104961438, `774` = 2.7686205447316, `775` = 2.07510786293649,     `776` = 2.19346015793001, `777` = 3.05666417694624, `778` = 2.61234105858666,     `779` = 2.46128612603711, `780` = 2.74057681523593, `781` = 1.82127812685098,     `782` = 2.95877261683777, `783` = 1.74839601569804, `784` = 1.88235766204648,     `785` = 2.82663471616036, `786` = 3.00464332237119, `787` = 1.84219985532157,     `788` = 3.04630071488416, `789` = 2.83071631673509, `790` = 2.50017115705951,     `791` = 2.37261285446862, `792` = 1.98067493063167, `793` = 2.47455687271204,     `794` = 3.62089358349168, `795` = 1.73327011655719, `796` = 1.99643069057204,     `797` = 4.06628378549785, `798` = 1.90545718313818, `799` = 1.36597756677296,     `800` = 2.60145375327965), call = ols(formula = y ~ rcs(age,         4) * treat * sex), terms = y ~ rcs(age, 4) * treat *         sex, Design = list(name = c("age", "treat", "sex", "age * treat",     "age * sex", "treat * sex", "age * treat * sex"), label = c("age",     "treat", "sex", "age * treat", "age * sex", "treat * sex",     "age * treat * sex"), units = c(age = "", treat = "", sex = ""    ), colnames = c("age", "age'", "age''", "treat=placebo",     "sex=male", "age * treat=placebo", "age' * treat=placebo",     "age'' * treat=placebo", "age * sex=male", "age' * sex=male",     "age'' * sex=male", "treat=placebo * sex=male", "age * treat=placebo * sex=male",     "age' * treat=placebo * sex=male", "age'' * treat=placebo * sex=male"    ), mmcolnames = c("rcs(age, 4)age", "rcs(age, 4)age'", "rcs(age, 4)age''",     "treatplacebo", "sexmale", "rcs(age, 4)age:treatplacebo",     "rcs(age, 4)age':treatplacebo", "rcs(age, 4)age'':treatplacebo",     "rcs(age, 4)age:sexmale", "rcs(age, 4)age':sexmale", "rcs(age, 4)age'':sexmale",     "treatplacebo:sexmale", "rcs(age, 4)age:treatplacebo:sexmale",     "rcs(age, 4)age':treatplacebo:sexmale", "rcs(age, 4)age'':treatplacebo:sexmale"    ), assume = c("rcspline", "category", "category", "interaction",     "interaction", "interaction", "interaction"), assume.code = c(4L,     5L, 5L, 9L, 9L, 9L, 9L), parms = list(age = c(33.006063739913,     46.0450788298244, 53.6005047434426, 67.3753079336887), treat = c("drug",     "placebo"), sex = c("female", "male"), `age * treat` = structure(c(1,     2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `age * sex` = structure(c(1,     3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `treat * sex` = structure(c(2,     3, 0, 0, 0, 0), dim = 3:2, dimnames = list(NULL, c("parms",     ""))), `age * treat * sex` = structure(c(1L, 2L, 3L, 0L,     0L, 0L, 1L, 0L, 0L, 1L, 0L, 0L), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", "")))), limits = list(), values = list(),         nonlinear = list(age = c(FALSE, TRUE, TRUE), treat = FALSE,             sex = FALSE, `age * treat` = c(FALSE, TRUE, TRUE),             `age * sex` = c(FALSE, TRUE, TRUE), `treat * sex` = FALSE,             `age * treat * sex` = c(FALSE, TRUE, TRUE)), tex = list(),         interactions = structure(c(1, 2, 0, 1, 3, 0, 2, 3, 0,         1, 2, 3), dim = 3:4)), non.slopes = 1, na.action = NULL,     scale.pred = "y", fail = FALSE, sformula = y ~ rcs(age, 4) *         treat * sex), class = c("ols", "rms", "lm")), factors = list(    x1 = 0), expand = TRUE): factor(s) not in design: x1
print(contrast(f, list(x1=0), list(x1=xs), type='joint'), jointonly=TRUE)
#> Error in gendata(structure(list(coefficients = c(Intercept = 3.81130652398641, age = -0.0364542267418386, `age'` = 0.148834151508506, `age''` = -0.308632674204754, `treat=placebo` = -4.30283998912834, `sex=male` = -4.63346348145351, `age * treat=placebo` = 0.0998279739052187, `age' * treat=placebo` = -0.213913393443712, `age'' * treat=placebo` = 0.67409687853917, `age * sex=male` = 0.104212923375674, `age' * sex=male` = -0.158890866453074, `age'' * sex=male` = 0.246292360607691, `treat=placebo * sex=male` = 5.22560180935418, `age * treat=placebo * sex=male` = -0.114281894990881, `age' * treat=placebo * sex=male` = 0.190288298144725, `age'' * treat=placebo * sex=male` = -0.531569263503839), residuals = c(`1` = 0.473393142582745, `2` = -0.141559791486677, `3` = -0.788168025049547, `4` = 0.21054460675534, `5` = -0.052168426620235, `6` = 0.761192562957081, `7` = 0.294525427210084, `8` = 0.778992893373488, `9` = 0.417287271554842, `10` = 0.290026003424354, `11` = 0.77328492180143, `12` = -2.21856076335012, `13` = 0.620135735603211, `14` = -0.982486976113407, `15` = 0.389096872806126, `16` = 1.59165472133739, `17` = -0.409213518976697, `18` = -1.01752036715792, `19` = -0.181346995214259, `20` = 1.55581748864713, `21` = 0.139346338170896, `22` = 0.182066734033289, `23` = -0.618424389312127, `24` = -0.554081714108963, `25` = -0.171166590200338, `26` = -1.62301559024683, `27` = 1.27268310855217, `28` = -0.297789023228669, `29` = -1.9880106628626, `30` = -0.0368175155551034, `31` = -0.196960382730091, `32` = -1.51235368602801, `33` = 2.09241307495163, `34` = -1.07041636223387, `35` = -1.24454134745706, `36` = 0.576950328441049, `37` = 0.521488615375679, `38` = -0.229134628183383, `39` = 0.00400141112061388, `40` = -0.990190237387313, `41` = 1.2851274365228, `42` = 0.412589547973587, `43` = -0.787399977989638, `44` = 0.769006437456616, `45` = 0.988895426233647, `46` = -0.630295684848831, `47` = 0.562724155069554, `48` = -1.02269815967957, `49` = 2.02836178241615, `50` = 0.578962554814852, `51` = -0.0651227409029367, `52` = -0.482601584661845, `53` = -0.122710775094478, `54` = -0.745924474389847, `55` = 0.129232404629066, `56` = 0.69644800326718, `57` = -0.383650193614412, `58` = -1.03505602134916, `59` = -1.63181622155276, `60` = 0.629963250715442, `61` = 0.411215136470065, `62` = -0.127687518348258, `63` = -0.469469751114936, `64` = 0.318556449350774, `65` = -1.25267393092262, `66` = -1.39145828713222, `67` = -1.50318216737249, `68` = -0.570988109041285, `69` = 0.758112000717413, `70` = 0.764329699642486, `71` = -0.499944600769316, `72` = 1.3565106792036, `73` = -1.09027293012492, `74` = -0.393603041309807, `75` = -0.620376160132382, `76` = 0.265615235504436, `77` = -1.6461764280938, `78` = 1.2659298679682, `79` = 1.14059651838309, `80` = 0.791415273046844, `81` = 0.0314759530563674, `82` = 1.15851435544224, `83` = 0.471405507875407, `84` = 0.927581672841119, `85` = 0.164476032654289, `86` = 0.510352863388586, `87` = -2.33584512359756, `88` = -0.34780227924363, `89` = 1.10708324238512, `90` = 0.094798752715391, `91` = -1.23649875869111, `92` = -0.910146298085997, `93` = -0.683990253631276, `94` = 2.09490238568856, `95` = -0.0760714931017753, `96` = -0.573286663753271, `97` = -1.98908763334468, `98` = -1.81647642962243, `99` = 1.32438574368848, `100` = -0.86903377235127, `101` = 1.40641158624571, `102` = -0.360743393233509, `103` = -2.33335838717408, `104` = 2.17624702802662, `105` = -0.977495246805378, `106` = -0.408795499563846, `107` = 0.157762335504203, `108` = -0.133874450719822, `109` = -1.4245090565002, `110` = -1.53795672784485, `111` = 1.28342330422267, `112` = -0.905054646526503, `113` = 1.02311908315981, `114` = 1.67008317138642, `115` = -0.71401825217723, `116` = -0.578153505698901, `117` = -1.95986738456425, `118` = 1.89141370855209, `119` = -0.779653582026061, `120` = -0.0632922274198554, `121` = -1.27400237607834, `122` = 1.10713913145023, `123` = 1.57817020329863, `124` = 0.302648894059498, `125` = -0.44530813884912, `126` = -1.56720865277409, `127` = 1.26760092041906, `128` = 0.702371105475438, `129` = -0.0126092509352822, `130` = 1.3261327498269, `131` = 1.34157201563317, `132` = -0.437113083384821, `133` = -1.22319240883817, `134` = 1.10738117649282, `135` = 0.732099554148857, `136` = -0.131637260437666, `137` = 3.03471394221772, `138` = -2.54280583571282, `139` = -0.194474563460366, `140` = 1.11126010268969, `141` = 1.54804718702491, `142` = 0.987423986854891, `143` = 0.2270208340922, `144` = 0.774506729389174, `145` = 0.530040440803476, `146` = 0.0480187567561099, `147` = -0.760816625072516, `148` = 1.60621319216395, `149` = -0.314437680874743, `150` = -0.327722008888805, `151` = 0.206624190196415, `152` = 0.0617307906368444, `153` = -2.00040383856708, `154` = -0.458530949692246, `155` = 0.458977472470989, `156` = 1.19787630775429, `157` = -1.19270271783315, `158` = -0.625978129815824, `159` = -2.33795700121927, `160` = 0.69145784309282, `161` = 0.133499618785992, `162` = 0.861126548699294, `163` = -0.968400958900246, `164` = 0.593799579402085, `165` = 0.999546907045159, `166` = -0.165590178876463, `167` = 0.927907153642925, `168` = 0.97708644273119, `169` = -1.56469829290578, `170` = 0.325942381829308, `171` = -2.52328229293399, `172` = -0.220554561892202, `173` = -0.578995539868613, `174` = 0.943962991225024, `175` = -0.28762618678959, `176` = -0.623671701835947, `177` = -0.0341104023900253, `178` = 0.157640040779364, `179` = -0.677970796516483, `180` = -0.797916706774773, `181` = -1.20816910766897, `182` = -1.59804104009406, `183` = -0.723459862012967, `184` = 0.0690788908253884, `185` = -1.4455806298819, `186` = 0.422969891784379, `187` = -0.887030288014093, `188` = 0.377087057164622, `189` = 0.178111741409501, `190` = -0.362378737758759, `191` = -1.95828918660721, `192` = -1.46799011274907, `193` = -2.56615377178761, `194` = 1.36761607831182, `195` = -0.408212369596027, `196` = 1.75680421917922, `197` = -1.36059376866375, `198` = 1.47639510785232, `199` = 1.04571766902045, `200` = -0.78594720595898, `201` = 0.78188441248486, `202` = 0.644318907294342, `203` = -0.176077616379735, `204` = 1.47487230092207, `205` = -0.344437358216782, `206` = 2.07294602737772, `207` = -1.15341579063268, `208` = 1.58614770595903, `209` = -0.36758868526355, `210` = 0.440207666569601, `211` = -0.275306420511773, `212` = -0.132424702653712, `213` = -0.0482918827367892, `214` = 0.700333579034905, `215` = 0.153552167666028, `216` = 1.354904437276, `217` = -0.0940210930784746, `218` = 0.178249213418117, `219` = -0.0718590169721228, `220` = -0.372132565126363, `221` = 0.2743337233337, `222` = 0.995628997256991, `223` = 0.887256216024083, `224` = 1.02740258604454, `225` = 1.85132165161094, `226` = 0.135133292496099, `227` = 0.272018643509762, `228` = 1.623520847384, `229` = -0.0371489772319791, `230` = -1.02981802460295, `231` = -0.850432580867964, `232` = -0.565802227982752, `233` = -1.30510264397433, `234` = 1.25007618135143, `235` = -0.57526258593963, `236` = 1.24186815887754, `237` = 2.4105885346059, `238` = -0.347283504658361, `239` = 0.563423156759932, `240` = -0.662253648583073, `241` = 2.95491788703927, `242` = -0.961770230160829, `243` = 0.955674155023439, `244` = 0.972303956215665, `245` = 0.98934493625832, `246` = 1.10414013365689, `247` = 0.611263225798478, `248` = 0.568958545849905, `249` = -0.854717847927866, `250` = 0.350946835829447, `251` = -0.292457058101941, `252` = 2.75357107350176, `253` = 0.834242176262766, `254` = 1.26696116962087, `255` = -2.21287516293338, `256` = -1.28952973897863, `257` = -0.891829646108193, `258` = -0.459611780815687, `259` = -0.360470725493518, `260` = 0.641678262155804, `261` = -0.103990683020398, `262` = -0.178524851655183, `263` = 1.25677935380373, `264` = -2.13892491708195, `265` = -0.291827529434965, `266` = 1.12341318276903, `267` = 1.11983686151372, `268` = -0.137741552160711, `269` = -0.652781641884896, `270` = -0.216624624750199, `271` = -0.353021091043571, `272` = -0.297813327146467, `273` = -1.36327372004937, `274` = -0.205915013958304, `275` = 0.443664560139034, `276` = -0.449297489381728, `277` = -0.894191238077295, `278` = -1.79203325611391, `279` = -0.338917970655343, `280` = 1.78454097846621, `281` = -0.486091714453967, `282` = -0.591510503346713, `283` = 2.73050658453025, `284` = -1.97455321466408, `285` = 0.119995857914282, `286` = 0.719969756085881, `287` = -0.382643281434768, `288` = 1.27441154210719, `289` = 0.794322022197328, `290` = 0.0192342199461539, `291` = -1.10256862275973, `292` = 0.317607647584267, `293` = -0.313727631989234, `294` = -0.97124484737473, `295` = -0.000554259159670144, `296` = 0.38261760244071, `297` = -0.0103759782320025, `298` = 0.901824392365618, `299` = -2.43376069040953, `300` = 0.685216088057129, `301` = -0.65380455159173, `302` = 0.362082168407164, `303` = 1.22563369526588, `304` = 0.176269416098703, `305` = 0.0603768424851903, `306` = -2.67850521791345, `307` = -1.11241691981968, `308` = 0.729911896694816, `309` = -1.4325825658838, `310` = -0.0606715332645114, `311` = 0.240679514346496, `312` = -0.36041902727999, `313` = -0.729918732527916, `314` = -1.47883030018216, `315` = 0.447833665156941, `316` = -1.91727568754626, `317` = -0.796563030292006, `318` = -0.0786569709999069, `319` = -0.912599036896566, `320` = -0.374280879830022, `321` = 0.913925288194581, `322` = 0.0474455921381818, `323` = 0.267830904503625, `324` = 1.39415054076247, `325` = 0.0335244297731983, `326` = 0.0636535096050474, `327` = -1.95400847855562, `328` = 0.184180234167246, `329` = -0.630138130177308, `330` = -1.23937518977461, `331` = 1.21908437476211, `332` = 0.0886511555240727, `333` = 1.067459014511, `334` = -0.897215731172858, `335` = -2.43184076594686, `336` = 0.248715846417063, `337` = 1.00186646100921, `338` = 2.57202091329185, `339` = 1.06115664145703, `340` = 1.03242583230715, `341` = -0.516295870204025, `342` = 0.373684256030876, `343` = -0.696287403144038, `344` = 0.507426741798138, `345` = -1.14483927721652, `346` = -0.347702006329537, `347` = -1.34120925655074, `348` = 0.132263987256395, `349` = 0.461052261030674, `350` = 0.0364585430873317, `351` = -0.371637290517893, `352` = -0.250277953651279, `353` = -1.60952300211484, `354` = -0.0811655594020712, `355` = -1.94480643727683, `356` = 0.0367058513086389, `357` = 1.84673389295959, `358` = 0.687352765565837, `359` = 1.54834126785165, `360` = 1.47999715561202, `361` = -0.199412609175701, `362` = 0.442441122559382, `363` = -1.93794678614154, `364` = 0.903480758590514, `365` = -0.878779905489679, `366` = 0.93814648685653, `367` = -1.87001575381933, `368` = 1.14323506747458, `369` = -0.725525776777194, `370` = 1.52506612906047, `371` = 0.00133214565857233, `372` = -0.838325869616721, `373` = 0.619360156838574, `374` = 0.0185145811407747, `375` = -0.58793826643742, `376` = -0.809633520870028, `377` = 2.42474631250702, `378` = -0.899589296893904, `379` = 0.666213188688393, `380` = -0.224862675418023, `381` = -0.972357798866612, `382` = -1.31865648202374, `383` = -1.47590975195639, `384` = -1.42865950669184, `385` = -1.49391787590036, `386` = 0.735425852771022, `387` = -0.113293590187947, `388` = 1.82657917147067, `389` = 0.684065496953059, `390` = 1.61818216434126, `391` = 0.569787413227696, `392` = 0.872287836388432, `393` = 0.443883392621181, `394` = -0.263756227170968, `395` = 0.778842679122107, `396` = 0.00386362534273763, `397` = 0.906521196971356, `398` = -0.769442771559844, `399` = 0.918485635776285, `400` = -0.183600646187187, `401` = -0.854910509609521, `402` = -1.65994175471195, `403` = 1.41522115542652, `404` = 0.323028751572093, `405` = -0.0393960735383096, `406` = 0.761127380405703, `407` = 0.0518915602823483, `408` = -1.47493631559061, `409` = -2.05463374640576, `410` = -0.0262636160583861, `411` = -0.277152617048994, `412` = -0.95237179052035, `413` = 0.524979812606982, `414` = -0.30867595543128, `415` = 0.751031553977189, `416` = 1.32068395900713, `417` = -0.525437630091273, `418` = -0.82145895157684, `419` = 0.177714874920089, `420` = 1.54384127078222, `421` = -1.69461301507659, `422` = -1.12891772319357, `423` = -0.814871565802017, `424` = 0.358721105700531, `425` = 2.4283421361755, `426` = -0.44303787458905, `427` = -0.29598138757007, `428` = -1.6397583939611, `429` = -0.564934508157389, `430` = 0.625765363492575, `431` = -0.730962962130021, `432` = -0.417207085813908, `433` = -0.329865255662936, `434` = -0.0812245264952631, `435` = 1.70677405289037, `436` = 1.29706910069198, `437` = 2.10461847554973, `438` = -1.81676326145784, `439` = -0.408964591583987, `440` = 0.831861743697683, `441` = -0.368848037368429, `442` = 0.701150634706081, `443` = -0.629670051750208, `444` = -1.89424938156875, `445` = -1.03510035005447, `446` = 1.91654699439126, `447` = -0.137342244885132, `448` = 1.63161829549619, `449` = 0.872678003141009, `450` = 0.7354940205863, `451` = 1.71013693442075, `452` = -1.50536568326281, `453` = -0.260600196842927, `454` = -0.205015767917604, `455` = -0.799765233209928, `456` = -0.27203163937395, `457` = -1.97187543477011, `458` = -1.549080711885, `459` = 0.534916953819233, `460` = 0.267228963565255, `461` = 1.40004004146821, `462` = -0.231856921651543, `463` = -0.269343297756892, `464` = -0.351253623054593, `465` = -0.865256406841322, `466` = 0.322082355332635, `467` = -1.17690997944313, `468` = 0.534593844400968, `469` = -0.0540326192287986, `470` = 0.547909049107145, `471` = 1.33178809602133, `472` = -0.318723594185765, `473` = -0.174539116340187, `474` = 0.0645307518722822, `475` = -0.363815536468061, `476` = 1.69046367398989, `477` = 0.0558511635150722, `478` = 0.853076900725734, `479` = 0.353208463444756, `480` = 1.26624811768733, `481` = -0.175276235619638, `482` = -2.67968807484938, `483` = 0.140650878745784, `484` = -0.683261859913555, `485` = 0.39988913139711, `486` = -0.921886641491984, `487` = -0.123478700464778, `488` = -0.483834170295311, `489` = -0.410132833268128, `490` = -0.630367617844952, `491` = -0.898087147980022, `492` = 0.061419860055552, `493` = -1.24305510798906, `494` = -0.199396181289918, `495` = -0.324262165272746, `496` = -0.654781741789735, `497` = 1.87250328682731, `498` = -1.74630441027651, `499` = 0.0275580206618543, `500` = -1.14997326268865, `501` = -1.40301688821418, `502` = -0.14100649790472, `503` = 2.16148598856364, `504` = 1.19952737027423, `505` = 0.353897451004024, `506` = -0.739164373388727, `507` = 2.15860514356829, `508` = -0.457866905854127, `509` = -1.09598276735103, `510` = -1.24445107762985, `511` = -0.601946374367648, `512` = 1.75106898973113, `513` = 1.05292684391896, `514` = 0.465292485092317, `515` = -1.76974816885205, `516` = -0.260967988129897, `517` = 1.13139835620884, `518` = -0.346246228656431, `519` = -0.509655431433273, `520` = 0.0446962529239993, `521` = -0.893603197098097, `522` = -0.264265589387314, `523` = 2.37927093190715, `524` = 0.56623940637046, `525` = 1.26084854960676, `526` = -0.16122008287042, `527` = -0.476290255141048, `528` = 0.62792198670192, `529` = -1.42352810998377, `530` = 1.24879131206239, `531` = -0.243473120349148, `532` = -2.93573308282161, `533` = -0.836853203515277, `534` = -0.289078433350248, `535` = 2.0146017680782, `536` = -0.112083638190287, `537` = -1.34164918116908, `538` = -0.286109197263816, `539` = -0.921551331259077, `540` = -1.50762020479464, `541` = -0.899204724499733, `542` = -1.84270843154796, `543` = 2.47910460085213, `544` = 0.355823818882617, `545` = 0.706619369595011, `546` = -1.06623568528134, `547` = 1.27849806285197, `548` = 0.650459328938198, `549` = -1.08448801914052, `550` = -0.331096713214464, `551` = -0.362181387236569, `552` = 1.36520633218548, `553` = -0.228989645926182, `554` = 1.19532656192675, `555` = 0.720309310162288, `556` = -0.283118690576896, `557` = 0.0935562293552512, `558` = -0.73632605030403, `559` = -0.386018975162292, `560` = -1.61510382032058, `561` = -0.647358021747128, `562` = -0.198189055902959, `563` = -0.231859676486582, `564` = 2.46984610041161, `565` = 0.401287656437332, `566` = -1.50462690049602, `567` = 1.06286502976489, `568` = -0.275807347295196, `569` = 1.40163112935451, `570` = -0.135627762285509, `571` = 1.59671907753339, `572` = 0.0332454746191333, `573` = -0.46390113438653, `574` = 2.04667164615292, `575` = -1.26648358451873, `576` = 0.34241800164842, `577` = -0.862845130940423, `578` = 1.17888758326791, `579` = 0.482871358449955, `580` = -0.586203075632172, `581` = -0.313436280167181, `582` = 0.666317498206885, `583` = -1.09381644255708, `584` = -0.64706278998496, `585` = 0.522473010345057, `586` = 0.69004630757896, `587` = -1.58732753392557, `588` = -0.0292439105393772, `589` = -0.95223314589784, `590` = -0.810897881173304, `591` = 1.09047425654457, `592` = 1.0984719685864, `593` = -0.101880226320777, `594` = -0.885731653711405, `595` = 0.165247458264157, `596` = 1.67817302478363, `597` = 1.02740874816144, `598` = 0.407098533975226, `599` = 0.0212323212915641, `600` = 1.05709190123365, `601` = 0.721513274718439, `602` = 0.71360654872932, `603` = -0.702932488448542, `604` = -2.71950727348554, `605` = -0.589089845429238, `606` = 1.0773579551258, `607` = -0.173410813853688, `608` = -0.663243953069262, `609` = -1.97911747657479, `610` = -0.474745855259661, `611` = -0.814679133694167, `612` = -0.653757145370431, `613` = 0.0722862425134145, `614` = -0.224191614571255, `615` = 1.26727670748956, `616` = -1.57412936537123, `617` = -1.51938372179535, `618` = -1.01159427196705, `619` = 0.127049137158835, `620` = 2.25803738472732, `621` = 1.45125433397264, `622` = -0.41145899206481, `623` = -0.479687499365016, `624` = 1.31638641894359, `625` = 0.391330002961166, `626` = -0.389456294379096, `627` = 0.0585043435648092, `628` = 1.09446808322787, `629` = 0.0146191695005953, `630` = 0.126506704022758, `631` = 0.760425067297108, `632` = -0.516005945923311, `633` = -1.98122694670427, `634` = 0.011026550928697, `635` = 1.22053538149303, `636` = -0.250159969858279, `637` = 0.992895735013286, `638` = -0.561635743470546, `639` = -0.741059041672562, `640` = 0.228842364481597, `641` = -0.484357418131607, `642` = 0.167843895096638, `643` = 0.961398356412197, `644` = -0.439590532664392, `645` = -0.120176486308383, `646` = 0.952901925716894, `647` = 1.54027188688194, `648` = -0.200071606038271, `649` = -0.370593024292862, `650` = -0.489866105018164, `651` = 0.99807649275207, `652` = -0.666729663960561, `653` = -0.719481828892707, `654` = -0.287111429652809, `655` = -1.40296029636829, `656` = -0.307156948909019, `657` = -0.432180139816106, `658` = -0.0655155763153287, `659` = 0.783149637579721, `660` = 1.77511674298001, `661` = 0.858748165133872, `662` = -1.15741607406915, `663` = 1.47852495973671, `664` = 0.77739201019174, `665` = 0.191592881379408, `666` = 1.0005740448232, `667` = 0.51192647401808, `668` = -0.122685536995748, `669` = -0.575662329971165, `670` = 0.868342008354016, `671` = -2.18288020451937, `672` = -0.377447729738174, `673` = -1.32851313123068, `674` = -2.04917816509898, `675` = 0.252456896271665, `676` = -0.00455759699316366, `677` = -1.80988772612292, `678` = -0.276704117303584, `679` = 0.525186032973322, `680` = 0.651829393276619, `681` = 0.271425733169605, `682` = 0.710379930452424, `683` = 0.124270638581215, `684` = 0.457124159009988, `685` = -0.0831111801632644, `686` = -0.918521479885603, `687` = 0.255674046162417, `688` = 0.893358978410407, `689` = 2.40262062264375, `690` = -0.480158297042548, `691` = 0.0370645329551433, `692` = -2.13030267718804, `693` = -0.980839303313051, `694` = 1.39772326518982, `695` = -0.17132646184608, `696` = 0.460408340786116, `697` = 0.478251291173555, `698` = -0.757248447085629, `699` = -0.206535309703804, `700` = 0.349975367908024, `701` = -0.247233949170307, `702` = -0.0162895051132212, `703` = -0.60099445259856, `704` = -1.37556588385377, `705` = 0.645622435957847, `706` = 1.4013001557138, `707` = 0.202694307230844, `708` = 0.0956946271562169, `709` = -0.241541600821264, `710` = 1.41187869168221, `711` = 1.16354084643934, `712` = 1.41065660623005, `713` = 0.773256870269722, `714` = 0.183455204067203, `715` = 0.480042465027015, `716` = 0.294571740526009, `717` = -1.20260918153325, `718` = 2.23428656648947, `719` = -1.1515462705905, `720` = 0.616198841192538, `721` = -1.41866870384524, `722` = -0.951966350087608, `723` = -0.352485148907089, `724` = -1.42086086122911, `725` = 0.0582291636091519, `726` = -1.03902533879805, `727` = 0.0996535606923858, `728` = 1.84806459684644, `729` = 0.769984914249602, `730` = -1.42845531193888, `731` = 0.370737032050522, `732` = 0.0654514348826629, `733` = 1.77481413849243, `734` = 0.590916559430136, `735` = -0.0976196494326984, `736` = -1.15398676759493, `737` = 0.048500857472991, `738` = 1.43728575012931, `739` = -0.969080437830227, `740` = -0.71736093120723, `741` = 1.03777139727611, `742` = 0.958306045718272, `743` = -0.274420680706018, `744` = -0.300947151495689, `745` = 0.0421269080315298, `746` = 1.02885153552682, `747` = 0.0254833900179468, `748` = 0.243121699570229, `749` = 1.69002191128667, `750` = 0.836142919340155, `751` = 1.28824988628336, `752` = 1.80408876812388, `753` = -0.155972070968765, `754` = -0.0972269255301354, `755` = 0.173923472482183, `756` = 0.429328031436448, `757` = -0.434125625965263, `758` = 0.199289404917013, `759` = -0.931578567641512, `760` = 0.385669117507831, `761` = -0.834233345701464, `762` = -0.225288119873308, `763` = 1.2326248028519, `764` = -0.281764122908527, `765` = -0.568085715221524, `766` = 0.860471328956729, `767` = -2.66192804189633, `768` = 0.0601969106197502, `769` = 0.304991890080915, `770` = 2.35592805016226, `771` = -0.617449971933117, `772` = -0.996906991473719, `773` = 2.25279831414472, `774` = 0.332555213772629, `775` = -0.0343182375654322, `776` = 0.553942095735088, `777` = -0.332260043051378, `778` = -1.08865647256746, `779` = 0.809667694768049, `780` = 0.0329839118148833, `781` = -0.0935493157522529, `782` = -1.18852966422395, `783` = -0.998380780854964, `784` = 0.597827690052846, `785` = -0.939921171439336, `786` = 0.571054144382359, `787` = 1.03357365681507, `788` = 1.00228797020952, `789` = -1.31781480506039, `790` = 0.10914512607753, `791` = 0.137302528006935, `792` = 0.996301382808932, `793` = 0.484548535905109, `794` = -1.2229509318636, `795` = -0.31591843989084, `796` = 1.10557071566996, `797` = 1.00632025507384, `798` = 1.82147163570023, `799` = -1.15978776889398, `800` = -0.754735507390657), effects = c(Intercept = -73.40333659132, age = 13.6382906841201, `age'` = -2.107611276151, `age''` = -0.034533686035316, `treat=placebo` = -2.24761333894835, `sex=male` = 2.65400508021108, `age * treat=placebo` = -0.243522200233562, `age' * treat=placebo` = 2.26243430584071, `age'' * treat=placebo` = 1.0721171414083, `age * sex=male` = 1.44104881889796, `age' * sex=male` = 3.84672118267309, `age'' * sex=male` = 0.428113012081798, `treat=placebo * sex=male` = 3.64434918334448, `age * treat=placebo * sex=male` = 1.82702857346944, `age' * treat=placebo * sex=male` = -2.0416754656213, `age'' * treat=placebo * sex=male` = -0.865456381743029, -0.572850974887237, -1.17018600460594, -0.0963618583398188, 1.40955786337855, 0.0459542010786245, 0.054162644913335, -0.716313781853562, -0.662075456970051, -0.287362257763061, -1.62608406617552, 1.28980384042999, -0.0456820693279919, -1.94036918237309, -0.135916515161014, -0.23955569337864, -1.44408160083464, 1.96640645780827, -1.11087569668948, -1.23195598718316, 0.46338388259601, 0.352396975809895, -0.35304969650697, 0.116559024379499, -0.98470620043081, 1.41858956516318, 0.721265766857826, -1.1339386640339, 0.655480194364529, 0.847366265130963, -0.630687887144773, 0.657047719449646, -1.14664480797666, 1.7638336644967, 0.626296229567147, -0.195506654238485, -0.646252657427098, -0.139697843963573, -0.590290197636792, 0.0778434741039944, 0.669110607661971, -0.427663691616754, -0.899358002588566, -1.76800081230197, 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0.580548995133037, 0.126703128720121, 0.569656512065563, 0.10770650692188, 0.435348894686623, -0.247930588426894, -0.844228794034961, 0.123034402811563, 0.78111827743297, 2.3618487202732, -0.61882279730788, 0.0668041152554399, -2.26713029080264, -0.828396443261679, 1.26993303849881, -0.03039293409857, 0.429319422309336, 0.631597348375269, -0.844185997483185, -0.160559310908493, 0.319138158190132, -0.166565566595088, 0.125887319897372, -0.522688880720763, -1.23690212822424, 0.719848111505827, 1.35933328238897, 0.0725714730809292, 0.0217098275000365, -0.31643430946117, 1.25085271107477, 1.3638879572947, 1.33698033651463, 0.803361260010268, 0.116943326383704, 0.380660895855268, 0.24849823499166, -1.28431518571426, 2.33071520522355, -1.19110442037258, 0.529847079790773, -1.29030775886443, -1.06944368899846, -0.184521424554327, -1.33696417481552, 0.016582354828849, -0.884557462261349, 0.0870195139233712, 1.95810352473099, 0.718305338046376, -1.49526111359094, 0.336536695265361, 0.124747665997748, 1.04987196933542, 0.70788247551476, -0.17613117040106, -1.20909614430547, -0.0292857209734235, 1.4636307094423, -0.987921517155655, -0.842260630085467, 1.09002136392792, 0.868898450937378, -0.394103499413947, -0.248122683411008, 0.172610190116425, 1.00260268314649, -0.0965247693659452, 0.0989299119993181, 1.74768702086668, 0.692728306838585, 1.23613555584604, 1.77285557041551, -0.23881130558668, -0.0805116029057873, 0.0416988020249218, 0.297933995176449, -0.250606422971945, 0.0894804712305895, -0.804762369104944, 0.333821512822324, -0.813295524510226, -0.298233156512461, 1.31778189647637, -0.21986145577956, -0.611368606182007, 0.967278702989654, -2.52414943647429, -0.0755818975511696, 0.169111736495417, 2.23253748899061, -0.629846423705932, -1.35071588787323, 2.12601204119038, 0.19035376557703, -0.140560533768141, 0.509697463187835, -0.440625345768201, -1.02227471346483, 0.762363676169038, -0.0871288150611121, -0.0699811259583561, -1.30069428264778, -1.24142493103183, 0.605581162539639, -1.10422685757841, 0.451562029691737, 0.870267171739296, 1.05625793747355, -1.29748102966093, 0.0118069893978282, 0.0851986068188737, 0.987876749158515, 0.482549683212166, -1.09711426174666, -0.23910684896716, 1.03394446587643, 1.18019617564374, 1.79694306130437, -1.72790554432164, -0.776398954786844), rank = 16L,     fitted.values = c(`1` = 1.8273464762968, `2` = 2.6542796288188,     `3` = 2.91235879550687, `4` = 2.62632478687051, `5` = 2.37478067233776,     `6` = 2.57126669833247, `7` = 2.29342830409831, `8` = 2.91272324756385,     `9` = 2.7720149889747, `10` = 2.61802501930452, `11` = 2.83995582973133,     `12` = 3.15822090879926, `13` = 2.7318330139736, `14` = 0.923092063185215,     `15` = 2.35638427355456, `16` = 3.21291450377986, `17` = 2.85930487738867,     `18` = 1.85471780857574, `19` = 2.59507849617468, `20` = 2.77516156003148,     `21` = 2.37468336722965, `22` = 2.94734075955842, `23` = 2.71890305200674,     `24` = 2.56690580859943, `25` = 2.62312595210793, `26` = 2.69985921118831,     `27` = 2.46142105713551, `28` = 4.81182749551602, `29` = 1.78100545234006,     `30` = 2.51087836642562, `31` = 2.18383381057564, `32` = 3.12042045378319,     `33` = 2.962998524365, `34` = 2.17134047276968, `35` = 2.49370220032693,     `36` = 2.95708295768924, `37` = 4.12990022922827, `38` = 2.68438147115392,     `39` = 2.20205567454462, `40` = 1.89621933065192, `41` = 3.17300922223564,     `42` = 1.36495515601018, `43` = 4.9162768756297, `44` = 2.34843367978997,     `45` = 2.2828688390031, `46` = 2.47656065356765, `47` = 3.35155981290649,     `48` = 2.68466198933939, `49` = 1.72312215469336, `50` = 2.5545423995087,     `51` = 2.75451955418949, `52` = 2.82193431350933, `53` = 2.40214416391366,     `54` = 0.959203672924118, `55` = 2.43423806672798, `56` = 2.38707792981996,     `57` = 2.37029134741965, `58` = 2.24561426606161, `59` = 2.30349409111093,     `60` = 2.43894245579633, `61` = 2.82061452685481, `62` = 3.40279330285509,     `63` = 2.02110598950698, `64` = 2.43980467959036, `65` = 2.55818586752441,     `66` = 3.81749524286754, `67` = 2.55797249452663, `68` = 1.86026293864306,     `69` = 2.64852423658387, `70` = 2.39078281119623, `71` = 4.20728393693173,     `72` = 2.73321470694733, `73` = 2.13299125795756, `74` = 2.40078521835743,     `75` = 2.38732388647639, `76` = 2.48663441342883, `77` = 2.48319236767406,     `78` = 3.33474920590903, `79` = 2.72652344572814, `80` = 2.502890404923,     `81` = 2.38653230290044, `82` = 2.81510053286542, `83` = 2.48414658771294,     `84` = 2.62268592379984, `85` = 3.0651368477459, `86` = 3.15791582696985,     `87` = 2.24559620887642, `88` = 3.13179459683268, `89` = 1.97357557764259,     `90` = 2.77282308095323, `91` = 2.74016188199839, `92` = 2.45176950529484,     `93` = 3.32531928953431, `94` = 2.19751752606572, `95` = 2.72674714579747,     `96` = 2.42192340543888, `97` = 1.93076371222272, `98` = 3.62929473538996,     `99` = 1.35369434987869, `100` = 2.2547370962648, `101` = 1.94409001325824,     `102` = 2.62880112621963, `103` = 2.77137140917496, `104` = 1.95738338715501,     `105` = 2.72049174848199, `106` = 2.40243453220378, `107` = 3.09735812074682,     `108` = 2.75153859240597, `109` = 2.7634794003779, `110` = 2.05813014540498,     `111` = 2.65985862884668, `112` = 2.46522299246837, `113` = 1.5703781919029,     `114` = 2.69035917134868, `115` = 4.20861430662284, `116` = 2.37125443702692,     `117` = 2.36705613621479, `118` = 2.85308469084743, `119` = 2.5415194010717,     `120` = 3.15710460382206, `121` = 2.77865444148754, `122` = 3.2954859943684,     `123` = 2.70726046586218, `124` = 2.42473855283583, `125` = 2.75546009888392,     `126` = 1.93535012472394, `127` = 2.21956899382337, `128` = 2.48911632772296,     `129` = 2.93859012435979, `130` = 2.5501671026405, `131` = 2.86395308616895,     `132` = 2.9325665637652, `133` = 2.49741866101599, `134` = 1.15477002080841,     `135` = 2.85906509967744, `136` = 3.21480202919142, `137` = 2.64844922449584,     `138` = 1.81624171593204, `139` = 2.50256109585425, `140` = 2.06026174870399,     `141` = 2.41347967088569, `142` = 2.82647702488726, `143` = 3.28776560599656,     `144` = 2.74957705273186, `145` = 2.06055571226601, `146` = 3.23783901748259,     `147` = 3.0579009438373, `148` = 3.23597166652999, `149` = 2.21636165136686,     `150` = 2.77037519109151, `151` = 3.14335945231959, `152` = 2.39156945942855,     `153` = 2.78704915422625, `154` = 2.63941496646989, `155` = 2.58610032037074,     `156` = 2.70144690395644, `157` = 2.90426129456847, `158` = 2.88420138031662,     `159` = 2.39479076403391, `160` = 2.80509075142565, `161` = 2.37161390962301,     `162` = 2.41992065646662, `163` = 2.9052094221091, `164` = 3.22550263914549,     `165` = 1.73315464210068, `166` = 2.43142907624064, `167` = 3.87849162526757,     `168` = 1.08194647347416, `169` = 2.84365960719609, `170` = 2.31147636681322,     `171` = 2.76523847380424, `172` = 2.88117058586849, `173` = 2.04732981907891,     `174` = 2.07915665869094, `175` = 3.08110988123108, `176` = 2.04592349294163,     `177` = 2.56700092604082, `178` = 2.77907881429002, `179` = 3.17846678411757,     `180` = 2.65038681640476, `181` = 2.92913414157109, `182` = 2.63780063630832,     `183` = 2.45550173098484, `184` = 2.78684913414774, `185` = 2.60955074916775,     `186` = 2.67430224080449, `187` = 2.3114710982275, `188` = 2.41392007655519,     `189` = 2.85514775159917, `190` = 2.82657039075926, `191` = 2.27203654778748,     `192` = 2.37030879867869, `193` = 2.78189657176958, `194` = 3.01888613570589,     `195` = 2.66860452934713, `196` = 2.5229466489951, `197` = 1.96437460612657,     `198` = 2.29586715480886, `199` = 2.53040196702745, `200` = 2.17979970489295,     `201` = 2.99968367627667, `202` = 2.99303164445703, `203` = 2.09396489715103,     `204` = 2.63747526906564, `205` = 2.63430036234606, `206` = 1.62346827950003,     `207` = 2.86309558489206, `208` = 1.26999728769122, `209` = 1.72020445809491,     `210` = 2.91311906510036, `211` = 2.43319556057215, `212` = 2.39109250097856,     `213` = 1.6492458519465, `214` = 1.99197336957605, `215` = 2.55334196204763,     `216` = 2.41675268048625, `217` = 2.4118017030696, `218` = 1.82904370247393,     `219` = 1.96972936169113, `220` = 4.48347814044753, `221` = 2.43357782876622,     `222` = 2.88429652654287, `223` = 3.21160807310651, `224` = 2.85022603796191,     `225` = 2.52882699909125, `226` = 2.0957307798493, `227` = 1.87895581468756,     `228` = 3.18065900342439, `229` = 2.47307935938645, `230` = 2.78536931497109,     `231` = 2.19076727042225, `232` = 2.41128760676261, `233` = 2.37131981545313,     `234` = 2.55303760371157, `235` = 2.9199693414722, `236` = 2.60397022793523,     `237` = 2.35726095482352, `238` = 2.87899977284871, `239` = 3.13468726875723,     `240` = 2.58696063484866, `241` = 2.93480037321797, `242` = 2.52196476517132,     `243` = 2.23386570374798, `244` = 1.93400574589039, `245` = 4.36159183616138,     `246` = 3.30181888171832, `247` = 2.87275271626973, `248` = 2.68680493967785,     `249` = 2.9472147026804, `250` = 2.67701679026062, `251` = 2.43874412812383,     `252` = 2.69832522750769, `253` = 2.39815127697227, `254` = 3.27416880961077,     `255` = 2.89420394072003, `256` = 2.46206595690653, `257` = 3.02161363337767,     `258` = 2.37253590878611, `259` = 3.14803716395551, `260` = 2.30477591805902,     `261` = 1.20593814723825, `262` = 3.06200642364828, `263` = 2.99889777179038,     `264` = 2.14282555354455, `265` = 2.01335804244271, `266` = 1.32272589615639,     `267` = 2.45487059993715, `268` = 1.51492463330488, `269` = 2.31193380003934,     `270` = 2.69797296272068, `271` = 3.27746164011552, `272` = 2.37320371671454,     `273` = 2.44765266363073, `274` = 2.76426830101752, `275` = 3.14991474578698,     `276` = 1.91281943159906, `277` = 1.47871083226282, `278` = 2.66139783025367,     `279` = 3.0068312744844, `280` = 2.40803144249423, `281` = 3.19967771868625,     `282` = 2.38442996368075, `283` = 2.74742751208274, `284` = 2.74151591243007,     `285` = 2.53430303102901, `286` = 2.13304771295534, `287` = 3.03502047926305,     `288` = 2.40927804101479, `289` = 2.84449715484632, `290` = 2.69872269248432,     `291` = 4.2167466822975, `292` = 2.86134949044519, `293` = 2.3240990316239,     `294` = 2.58529458327362, `295` = 2.589177826791, `296` = 1.65132282111858,     `297` = 4.12860304687622, `298` = 2.9788838201833, `299` = 2.03941888516452,     `300` = 2.74426480590544, `301` = 2.70375821808304, `302` = 2.42445684795484,     `303` = 3.91189357427476, `304` = 2.46328928597437, `305` = 2.71213347425702,     `306` = 2.75078140564015, `307` = 2.39519608769782, `308` = 1.97652601737173,     `309` = 2.49237836450657, `310` = 3.02437447193905, `311` = 2.63718302354101,     `312` = 2.85937900798305, `313` = 2.54616629469414, `314` = 2.7903511279751,     `315` = 1.61496522808629, `316` = 2.84844468900093, `317` = 2.37133176406135,     `318` = 2.2342212333381, `319` = 2.39493857884649, `320` = 1.88745641232398,     `321` = 2.39649029076404, `322` = 2.25072436441753, `323` = 2.36943155133288,     `324` = 2.42743673231805, `325` = 2.97791930992207, `326` = 2.09234168848051,     `327` = 2.36240634177489, `328` = 1.1105791288804, `329` = 2.37013324391512,     `330` = 2.26471337954389, `331` = 3.05444517174529, `332` = 2.38980742161709,     `333` = 2.37786232477323, `334` = 1.78990970602347, `335` = 2.70944370588652,     `336` = 3.5683141888971, `337` = 2.44134246962534, `338` = 2.25972174620225,     `339` = 3.00918859646008, `340` = 2.18586223684944, `341` = 2.74330408539129,     `342` = 2.86867416819939, `343` = 2.06826131293291, `344` = 3.63151763911666,     `345` = 2.85886713213127, `346` = 2.21985116812454, `347` = 2.3815434508579,     `348` = 2.41350923720854, `349` = 2.89843556037318, `350` = 2.23898268719741,     `351` = 1.29584077798455, `352` = 2.51159663534582, `353` = 2.85257238541717,     `354` = 1.77903202336168, `355` = 2.55028022270778, `356` = 2.44782824590644,     `357` = 2.46271608796213, `358` = 2.51685373998414, `359` = 2.41583566834669,     `360` = 2.3728907565472, `361` = 2.369454773508, `362` = 3.29250303236263,     `363` = 2.66285306254625, `364` = 2.49029698546202, `365` = 1.05306070502084,     `366` = 1.86455368138798, `367` = 2.88031132181863, `368` = 2.30036007798452,     `369` = 2.11837578996616, `370` = 2.40083223927156, `371` = 2.29153752579909,     `372` = 2.44953094562367, `373` = 2.62721713144288, `374` = 3.9441196218975,     `375` = 2.9557674025679, `376` = 3.66113529407979, `377` = 2.32038023868864,     `378` = 2.87211440331623, `379` = 2.39293831188164, `380` = 2.51344798573844,     `381` = 4.63994090353258, `382` = 2.42205148785717, `383` = 2.33462597983624,     `384` = 2.23050814284012, `385` = 2.88331664462298, `386` = 4.55690943309283,     `387` = 2.58261047793064, `388` = 2.54193081869031, `389` = 4.52295683194619,     `390` = 2.14060027084606, `391` = 2.99869748680244, `392` = 2.26250701192594,     `393` = 2.01249031809818, `394` = 2.97085385284773, `395` = 2.64468402413129,     `396` = 2.33395576477012, `397` = 2.63502066231726, `398` = 2.24915693049968,     `399` = 2.58574738517705, `400` = 2.3716272899945, `401` = 1.69024305202187,     `402` = 3.19926868492288, `403` = 1.77606477443688, `404` = 1.64318193529478,     `405` = 2.83237040517646, `406` = 2.88901243357697, `407` = 2.40363001910485,     `408` = 2.56124257441973, `409` = 3.15661085878286, `410` = 3.01754450476663,     `411` = 1.66908846281502, `412` = 3.04638461915898, `413` = 2.4902496498083,     `414` = 2.32355269847258, `415` = 3.20708965017669, `416` = 2.94047492110776,     `417` = 3.039308895143, `418` = 2.4463121970276, `419` = 2.85372829272876,     `420` = 2.52921117908114, `421` = 2.20126381165548, `422` = 3.67012958834098,     `423` = 2.67998235983964, `424` = 2.48875766442306, `425` = 2.98395742646305,     `426` = 2.86885943428284, `427` = 2.36948098545145, `428` = 2.41007394201668,     `429` = 3.32665939652036, `430` = 2.60667304612803, `431` = 2.3375066389785,     `432` = 3.1650659263681, `433` = 2.87830655726086, `434` = 2.24977346407656,     `435` = 2.41284105666922, `436` = 2.87304300931647, `437` = 2.46339398769293,     `438` = 2.94459097140992, `439` = 2.44625020909451, `440` = 1.88518695389097,     `441` = 2.63410511427251, `442` = 3.31221841531284, `443` = 1.75003520014887,     `444` = 2.03294189166507, `445` = 1.66007689915753, `446` = 2.29814525739876,     `447` = 3.06648380940822, `448` = 2.57970479276396, `449` = 2.36683669531664,     `450` = 2.4670869173179, `451` = 2.44602851362862, `452` = 3.45053339543596,     `453` = 3.28071687825047, `454` = 3.04908277183995, `455` = 2.37763546512344,     `456` = 2.26398601372506, `457` = 2.692748575164, `458` = 2.62690602442052,     `459` = 2.71352920569489, `460` = 2.47429183434904, `461` = 2.4039247810575,     `462` = 1.93412621996201, `463` = 2.38480340226842, `464` = 2.07063510996225,     `465` = 2.40690117392684, `466` = 2.42420000654002, `467` = 2.81475506919669,     `468` = 2.20640905191678, `469` = 2.37632831310256, `470` = 3.53490867501887,     `471` = 3.41002468731006, `472` = 2.75092976639121, `473` = 3.09480651714885,     `474` = 1.90007305083701, `475` = 3.2296327868531, `476` = 3.02534506485739,     `477` = 2.53398829371899, `478` = 2.82791722535193, `479` = 2.55583773830625,     `480` = 2.59402715530063, `481` = 1.6781326990062, `482` = 2.87293840540908,     `483` = 4.03969129126323, `484` = 3.19450816106775, `485` = 2.68239952858409,     `486` = 2.39405541049845, `487` = 2.71100128720999, `488` = 3.00282156550285,     `489` = 3.40302266876215, `490` = 2.88352616157181, `491` = 3.52856064048011,     `492` = 2.62144967861979, `493` = 2.77538989742825, `494` = 3.59999333050544,     `495` = 6.16348972719813, `496` = 2.4891599433751, `497` = 2.37034460924193,     `498` = 2.59980779332976, `499` = 2.30071384805534, `500` = 3.07614227765401,     `501` = 2.73259013984369, `502` = 3.25338285299229, `503` = 2.04661688530079,     `504` = 2.119780819561, `505` = 3.11313609957979, `506` = 2.6988744349033,     `507` = 2.38395417253592, `508` = 2.18648950581266, `509` = 2.42837885798354,     `510` = 2.68221147267643, `511` = 2.25428068095068, `512` = 3.75887229099597,     `513` = 2.65473882617471, `514` = 2.69017623822354, `515` = 2.62515548587877,     `516` = 2.34064129442189, `517` = 2.37656062416954, `518` = 3.11073225841166,     `519` = 1.65824952962201, `520` = 3.05076882119208, `521` = 2.50896463090888,     `522` = 2.77691889731644, `523` = 2.48655516799708, `524` = 2.4847705304522,     `525` = 2.83484261483298, `526` = 2.39148791182408, `527` = 3.08293761712995,     `528` = 2.11610089991802, `529` = 1.5441706288409, `530` = 2.29338823560684,     `531` = 2.2357005930668, `532` = 2.00046452981165, `533` = 2.46775766392926,     `534` = 2.37518687841549, `535` = 2.26924539949773, `536` = 2.69708958988384,     `537` = 1.7759969284976, `538` = 2.87932697846107, `539` = 2.51924964421704,     `540` = 2.41448920694114, `541` = 2.73088979297616, `542` = 2.33592937775142,     `543` = 2.42699526496006, `544` = 3.26971833241992, `545` = 3.80927075812981,     `546` = 3.64604939844582, `547` = 1.96050051349709, `548` = 2.37166914445101,     `549` = 2.60110158015077, `550` = 2.19353040701009, `551` = 1.66039378190514,     `552` = 2.81717036355495, `553` = 2.63349707431426, `554` = 2.69710127484472,     `555` = 1.90798875869868, `556` = 2.31371567893383, `557` = 1.77090083956038,     `558` = 2.37391574467976, `559` = 2.50262689711419, `560` = 2.31168914410283,     `561` = 2.22625805533233, `562` = 1.68021749593895, `563` = 2.51377897825149,     `564` = 2.09808172086947, `565` = 3.09578583530429, `566` = 2.19900715901313,     `567` = 1.80979414421884, `568` = 1.78503396884665, `569` = 2.50774132675897,     `570` = 2.49239230729125, `571` = 2.76211802056802, `572` = 2.4495274017885,     `573` = 3.28892969636115, `574` = 3.15211213487484, `575` = 2.92840573999153,     `576` = 2.7042293900111, `577` = 2.94371744049618, `578` = 2.47580774375233,     `579` = 2.92455079876968, `580` = 2.57811464680771, `581` = 2.09501725666443,     `582` = 2.11233201384487, `583` = 2.17435383560045, `584` = 2.36979159264026,     `585` = 2.67342838683219, `586` = 2.56022536590253, `587` = 2.37232436135092,     `588` = 2.27233056465191, `589` = 3.0468428457455, `590` = 2.55069457032584,     `591` = 2.09756322003269, `592` = 2.40306812582161, `593` = 2.45500210452847,     `594` = 2.86907537820904, `595` = 2.60261574773351, `596` = 2.46107520830906,     `597` = 1.85902245529062, `598` = 2.89225570374173, `599` = 2.65436849639519,     `600` = 2.87087714348427, `601` = 3.46886542980082, `602` = 2.68512701414622,     `603` = 2.35003691394945, `604` = 2.14627270516146, `605` = 2.23384069990504,     `606` = 2.26441295743203, `607` = 2.85303023058625, `608` = 2.52519561937849,     `609` = 1.57105260574496, `610` = 2.37037349981258, `611` = 3.04865674785886,     `612` = 2.66980960831409, `613` = 2.26749788061542, `614` = 2.82468867713131,     `615` = 2.3195107615215, `616` = 2.45284107326388, `617` = 2.56240566991253,     `618` = 3.5032340625682, `619` = 2.99012848419003, `620` = 3.69815882893603,     `621` = 2.90806077391049, `622` = 2.69781322229088, `623` = 3.14076048190506,     `624` = 4.49059794128407, `625` = 3.74525948670074, `626` = 2.36112028298741,     `627` = 2.40385272685886, `628` = 2.6893053745018, `629` = 2.3797231366545,     `630` = 2.71343039320212, `631` = 2.24472670443739, `632` = 2.93449351293732,     `633` = 4.64415079258173, `634` = 2.94929885043176, `635` = 2.8726564625836,     `636` = 2.61383490293316, `637` = 3.26153429983134, `638` = 2.47400494380402,     `639` = 3.01176455064242, `640` = 3.49592172694681, `641` = 2.67957734578401,     `642` = 3.17453140868152, `643` = 2.32665270498733, `644` = 2.7575036297423,     `645` = 2.0689328843544, `646` = 2.46785376746714, `647` = 3.32570305967851,     `648` = 0.905248324266446, `649` = 2.50428948117561, `650` = 2.53912900337754,     `651` = 2.3826549275648, `652` = 2.44542191253417, `653` = 2.62469142433065,     `654` = 2.65637163809148, `655` = 2.66860851254179, `656` = 2.38249985819357,     `657` = 2.66226570688936, `658` = 3.3192449193186, `659` = 2.73111344992993,     `660` = 3.04282974391802, `661` = 2.45256085675311, `662` = 2.67768607034304,     `663` = 2.77783018778015, `664` = 2.1579712498587, `665` = 2.37298409942318,     `666` = 3.77862150624116, `667` = 2.11634477584323, `668` = 2.94397684292152,     `669` = 2.36024450269283, `670` = 1.96870553397572, `671` = 1.70461446504352,     `672` = 2.11940451882738, `673` = 1.7263870453371, `674` = 2.08704111428627,     `675` = 2.95687309973058, `676` = 2.37665447487459, `677` = 3.15422627810539,     `678` = 2.49702523812035, `679` = 1.92644836113277, `680` = 2.34875871370472,     `681` = 2.22844659869117, `682` = 2.28679608898358, `683` = 2.62823063420633,     `684` = 2.45143195137904, `685` = 2.8489110203038, `686` = 2.65175935979436,     `687` = 2.88524094060349, `688` = 2.5952722765178, `689` = 2.37231532291548,     `690` = 2.76339467172705, `691` = 2.8873289565435, `692` = 2.30150257336182,     `693` = 2.49468059867389, `694` = 2.9386886921381, `695` = 3.75746997650522,     `696` = 2.66568016818031, `697` = 2.4930667288634, `698` = 3.13380307686093,     `699` = 2.10019517768552, `700` = 2.38255703596884, `701` = 2.86056652465783,     `702` = 2.25938206522155, `703` = 2.89379813499127, `704` = 2.25180330762531,     `705` = 2.65134453007541, `706` = 2.49261895369649, `707` = 2.92482004635633,     `708` = 2.99960795197273, `709` = 2.39534315168548, `710` = 2.80968394898164,     `711` = 1.5365706856904, `712` = 2.36240206475222, `713` = 1.74480446929666,     `714` = 2.69272631893605, `715` = 2.51260627559957, `716` = 2.46876974298805,     `717` = 2.40833157695587, `718` = 3.3687784443709, `719` = 2.5060766692575,     `720` = 3.76322910561409, `721` = 2.68274467180769, `722` = 2.73776984498368,     `723` = 3.20084163854064, `724` = 2.15532930018422, `725` = 2.37168049406483,     `726` = 2.49101118391487, `727` = 2.64893383948362, `728` = 2.55000347491773,     `729` = 2.23662652396895, `730` = 3.20003639165197, `731` = 2.66800696736024,     `732` = 3.05525636675038, `733` = 1.18148846416636, `734` = 3.54271987460358,     `735` = 2.99515813678729, `736` = 2.39151522397183, `737` = 2.38585928232041,     `738` = 3.08656767068624, `739` = 2.61626780552435, `740` = 2.97115704778034,     `741` = 3.03439656895824, `742` = 2.37931601007593, `743` = 2.33883331819551,     `744` = 1.60348696140688, `745` = 1.11688145045703, `746` = 2.57736600422859,     `747` = 2.66802533594202, `748` = 2.26404981534278, `749` = 3.07219106215321,     `750` = 2.77050828138718, `751` = 2.428794530875, `752` = 2.44110931378247,     `753` = 2.99082624009212, `754` = 2.80966642752265, `755` = 2.89406725105139,     `756` = 2.77030884986535, `757` = 4.15811193019416, `758` = 2.57886699953155,     `759` = 2.2280269081183, `760` = 2.23759767417144, `761` = 2.5058665552149,     `762` = 2.35823648366692, `763` = 2.57415384248165, `764` = 3.10240981596749,     `765` = 2.37066373006279, `766` = 1.26531154683944, `767` = 3.17649132143359,     `768` = 2.75939408955155, `769` = 2.92685172692651, `770` = 2.3324407578609,     `771` = 2.65018850565418, `772` = 1.61809174258647, `773` = 2.71163104961438,     `774` = 2.7686205447316, `775` = 2.07510786293649, `776` = 2.19346015793001,     `777` = 3.05666417694624, `778` = 2.61234105858666, `779` = 2.46128612603711,     `780` = 2.74057681523593, `781` = 1.82127812685098, `782` = 2.95877261683777,     `783` = 1.74839601569804, `784` = 1.88235766204648, `785` = 2.82663471616036,     `786` = 3.00464332237119, `787` = 1.84219985532157, `788` = 3.04630071488416,     `789` = 2.83071631673509, `790` = 2.50017115705951, `791` = 2.37261285446862,     `792` = 1.98067493063167, `793` = 2.47455687271204, `794` = 3.62089358349168,     `795` = 1.73327011655719, `796` = 1.99643069057204, `797` = 4.06628378549785,     `798` = 1.90545718313818, `799` = 1.36597756677296, `800` = 2.60145375327965    ), assign = list(`rcs(age, 4)` = 2:4, treat = 5L, sex = 6L,         `rcs(age, 4):treat` = 7:9, `rcs(age, 4):sex` = 10:12,         `treat:sex` = 13L, `rcs(age, 4):treat:sex` = 14:16),     qr = structure(list(qr = structure(c(-28.2842712474619, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 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sex=male",         "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",         "age'' * treat=placebo * sex=male"))), qraux = c(1.03535533905933,     1.06138486916177, 1.00204733190792, 1.00055266292105, 1.0290463838589,     1.03789725089091, 1.01648463412155, 1.00068622124879, 1.04076644795546,     1.04618259811035, 1.01988151430044, 1.03809279846412, 1.03661305226105,     1.12551360475444, 1.02472116042532, 1.04703590815754), pivot = 1:16,         tol = 2.22044604925031e-16, rank = 16L), class = "qr"),     df.residual = 784L, var = structure(c(0.836425390502694,     -0.0212848834556598, 0.0512825699211176, -0.184115577200964,     -0.836425390502695, -0.836425390502696, 0.0212848834556598,     -0.0512825699211177, 0.184115577200964, 0.0212848834556598,     -0.0512825699211177, 0.184115577200964, 0.836425390502696,     -0.0212848834556598, 0.0512825699211177, -0.184115577200964,     -0.0212848834556598, 0.000551286595299535, -0.00140546909686742,     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  -0.836425390502695, 0.0212848834556598, -0.0512825699211177,     0.184115577200964, 1.78217595691818, 0.836425390502696, -0.0457435036357167,     0.114344607106148, -0.419224551439489, -0.0212848834556598,     0.0512825699211177, -0.184115577200964, -1.78217595691818,     0.0457435036357167, -0.114344607106148, 0.419224551439489,     -0.836425390502696, 0.0212848834556599, -0.0512825699211178,     0.184115577200965, 0.836425390502696, 2.24452904108481, -0.0212848834556599,     0.0512825699211178, -0.184115577200965, -0.0571784236329693,     0.138187486464013, -0.499407405474335, -2.24452904108481,     0.0571784236329693, -0.138187486464013, 0.499407405474335,     0.0212848834556598, -0.000551286595299535, 0.00140546909686742,     -0.00515538101632445, -0.0457435036357167, -0.0212848834556599,     0.00119429035854966, -0.00314912019539668, 0.0117757979020482,     0.000551286595299535, -0.00140546909686742, 0.00515538101632445,     0.0457435036357167, -0.00119429035854966, 0.00314912019539668,     -0.0117757979020482, -0.0512825699211177, 0.00140546909686742,     -0.00463878381986734, 0.0189439273640901, 0.114344607106148,     0.0512825699211178, -0.00314912019539668, 0.0106133933039199,     -0.043988538139749, -0.00140546909686742, 0.00463878381986734,     -0.0189439273640901, -0.114344607106148, 0.00314912019539668,     -0.0106133933039199, 0.043988538139749, 0.184115577200964,     -0.00515538101632445, 0.0189439273640901, -0.0817449413547494,     -0.419224551439489, -0.184115577200965, 0.0117757979020482,     -0.043988538139749, 0.193194518446538, 0.00515538101632445,     -0.0189439273640901, 0.0817449413547493, 0.41922455143949,     -0.0117757979020482, 0.043988538139749, -0.193194518446538,     0.0212848834556598, -0.000551286595299535, 0.00140546909686742,     -0.00515538101632446, -0.0212848834556598, -0.0571784236329693,     0.000551286595299535, -0.00140546909686742, 0.00515538101632445,     0.00147933596588392, -0.00375673851431083, 0.0138385171219278,     0.0571784236329693, -0.00147933596588392, 0.00375673851431083,     -0.0138385171219278, -0.0512825699211177, 0.00140546909686742,     -0.00463878381986734, 0.0189439273640901, 0.0512825699211177,     0.138187486464013, -0.00140546909686742, 0.00463878381986734,     -0.0189439273640901, -0.00375673851431083, 0.0120057031151827,     -0.0489004666962014, -0.138187486464013, 0.00375673851431082,     -0.0120057031151827, 0.0489004666962014, 0.184115577200964,     -0.00515538101632445, 0.0189439273640901, -0.0817449413547494,     -0.184115577200964, -0.499407405474335, 0.00515538101632445,     -0.0189439273640901, 0.0817449413547493, 0.0138385171219278,     -0.0489004666962014, 0.210101009164533, 0.499407405474335,     -0.0138385171219278, 0.0489004666962014, -0.210101009164533,     0.836425390502696, -0.0212848834556599, 0.0512825699211178,     -0.184115577200965, -1.78217595691818, -2.24452904108481,     0.0457435036357167, -0.114344607106148, 0.41922455143949,     0.0571784236329693, -0.138187486464013, 0.499407405474335,     4.01392907467183, -0.103257489020622, 0.257419561496252,     -0.941267592738115, -0.0212848834556598, 0.000551286595299535,     -0.00140546909686742, 0.00515538101632446, 0.0457435036357167,     0.0571784236329693, -0.00119429035854966, 0.00314912019539668,     -0.0117757979020482, -0.00147933596588392, 0.00375673851431082,     -0.0138385171219278, -0.103257489020622, 0.00270331398813018,     -0.00710766519948597, 0.0265004210700546, 0.0512825699211177,     -0.00140546909686742, 0.00463878381986735, -0.0189439273640902,     -0.114344607106148, -0.138187486464013, 0.00314912019539668,     -0.0106133933039199, 0.043988538139749, 0.00375673851431083,     -0.0120057031151827, 0.0489004666962014, 0.257419561496252,     -0.00710766519948597, 0.0236181254277507, -0.0972117419383224,     -0.184115577200964, 0.00515538101632445, -0.0189439273640901,     0.0817449413547495, 0.419224551439489, 0.499407405474335,     -0.0117757979020482, 0.043988538139749, -0.193194518446538,     -0.0138385171219278, 0.0489004666962014, -0.210101009164533,     -0.941267592738115, 0.0265004210700546, -0.0972117419383224,     0.42226391498444), dim = c(16L, 16L), dimnames = list(c("Intercept",     "age", "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"), c("Intercept", "age",     "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"))), stats = c(n = 800,     `Model L.R.` = 198.733217877431, d.f. = 15, R2 = 0.219965026393617,     g = 0.585082032793052, Sigma = 1.05797963607968), linear.predictors = c(`1` = 1.8273464762968,     `2` = 2.6542796288188, `3` = 2.91235879550687, `4` = 2.62632478687051,     `5` = 2.37478067233776, `6` = 2.57126669833247, `7` = 2.29342830409831,     `8` = 2.91272324756385, `9` = 2.7720149889747, `10` = 2.61802501930452,     `11` = 2.83995582973133, `12` = 3.15822090879926, `13` = 2.7318330139736,     `14` = 0.923092063185215, `15` = 2.35638427355456, `16` = 3.21291450377986,     `17` = 2.85930487738867, `18` = 1.85471780857574, `19` = 2.59507849617468,     `20` = 2.77516156003148, `21` = 2.37468336722965, `22` = 2.94734075955842,     `23` = 2.71890305200674, `24` = 2.56690580859943, `25` = 2.62312595210793,     `26` = 2.69985921118831, `27` = 2.46142105713551, `28` = 4.81182749551602,     `29` = 1.78100545234006, `30` = 2.51087836642562, `31` = 2.18383381057564,     `32` = 3.12042045378319, `33` = 2.962998524365, `34` = 2.17134047276968,     `35` = 2.49370220032693, `36` = 2.95708295768924, `37` = 4.12990022922827,     `38` = 2.68438147115392, `39` = 2.20205567454462, `40` = 1.89621933065192,     `41` = 3.17300922223564, `42` = 1.36495515601018, `43` = 4.9162768756297,     `44` = 2.34843367978997, `45` = 2.2828688390031, `46` = 2.47656065356765,     `47` = 3.35155981290649, `48` = 2.68466198933939, `49` = 1.72312215469336,     `50` = 2.5545423995087, `51` = 2.75451955418949, `52` = 2.82193431350933,     `53` = 2.40214416391366, `54` = 0.959203672924118, `55` = 2.43423806672798,     `56` = 2.38707792981996, `57` = 2.37029134741965, `58` = 2.24561426606161,     `59` = 2.30349409111093, `60` = 2.43894245579633, `61` = 2.82061452685481,     `62` = 3.40279330285509, `63` = 2.02110598950698, `64` = 2.43980467959036,     `65` = 2.55818586752441, `66` = 3.81749524286754, `67` = 2.55797249452663,     `68` = 1.86026293864306, `69` = 2.64852423658387, `70` = 2.39078281119623,     `71` = 4.20728393693173, `72` = 2.73321470694733, `73` = 2.13299125795756,     `74` = 2.40078521835743, `75` = 2.38732388647639, `76` = 2.48663441342883,     `77` = 2.48319236767406, `78` = 3.33474920590903, `79` = 2.72652344572814,     `80` = 2.502890404923, `81` = 2.38653230290044, `82` = 2.81510053286542,     `83` = 2.48414658771294, `84` = 2.62268592379984, `85` = 3.0651368477459,     `86` = 3.15791582696985, `87` = 2.24559620887642, `88` = 3.13179459683268,     `89` = 1.97357557764259, `90` = 2.77282308095323, `91` = 2.74016188199839,     `92` = 2.45176950529484, `93` = 3.32531928953431, `94` = 2.19751752606572,     `95` = 2.72674714579747, `96` = 2.42192340543888, `97` = 1.93076371222272,     `98` = 3.62929473538996, `99` = 1.35369434987869, `100` = 2.2547370962648,     `101` = 1.94409001325824, `102` = 2.62880112621963, `103` = 2.77137140917496,     `104` = 1.95738338715501, `105` = 2.72049174848199, `106` = 2.40243453220378,     `107` = 3.09735812074682, `108` = 2.75153859240597, `109` = 2.7634794003779,     `110` = 2.05813014540498, `111` = 2.65985862884668, `112` = 2.46522299246837,     `113` = 1.5703781919029, `114` = 2.69035917134868, `115` = 4.20861430662284,     `116` = 2.37125443702692, `117` = 2.36705613621479, `118` = 2.85308469084743,     `119` = 2.5415194010717, `120` = 3.15710460382206, `121` = 2.77865444148754,     `122` = 3.2954859943684, `123` = 2.70726046586218, `124` = 2.42473855283583,     `125` = 2.75546009888392, `126` = 1.93535012472394, `127` = 2.21956899382337,     `128` = 2.48911632772296, `129` = 2.93859012435979, `130` = 2.5501671026405,     `131` = 2.86395308616895, `132` = 2.9325665637652, `133` = 2.49741866101599,     `134` = 1.15477002080841, `135` = 2.85906509967744, `136` = 3.21480202919142,     `137` = 2.64844922449584, `138` = 1.81624171593204, `139` = 2.50256109585425,     `140` = 2.06026174870399, `141` = 2.41347967088569, `142` = 2.82647702488726,     `143` = 3.28776560599656, `144` = 2.74957705273186, `145` = 2.06055571226601,     `146` = 3.23783901748259, `147` = 3.0579009438373, `148` = 3.23597166652999,     `149` = 2.21636165136686, `150` = 2.77037519109151, `151` = 3.14335945231959,     `152` = 2.39156945942855, `153` = 2.78704915422625, `154` = 2.63941496646989,     `155` = 2.58610032037074, `156` = 2.70144690395644, `157` = 2.90426129456847,     `158` = 2.88420138031662, `159` = 2.39479076403391, `160` = 2.80509075142565,     `161` = 2.37161390962301, `162` = 2.41992065646662, `163` = 2.9052094221091,     `164` = 3.22550263914549, `165` = 1.73315464210068, `166` = 2.43142907624064,     `167` = 3.87849162526757, `168` = 1.08194647347416, `169` = 2.84365960719609,     `170` = 2.31147636681322, `171` = 2.76523847380424, `172` = 2.88117058586849,     `173` = 2.04732981907891, `174` = 2.07915665869094, `175` = 3.08110988123108,     `176` = 2.04592349294163, `177` = 2.56700092604082, `178` = 2.77907881429002,     `179` = 3.17846678411757, `180` = 2.65038681640476, `181` = 2.92913414157109,     `182` = 2.63780063630832, `183` = 2.45550173098484, `184` = 2.78684913414774,     `185` = 2.60955074916775, `186` = 2.67430224080449, `187` = 2.3114710982275,     `188` = 2.41392007655519, `189` = 2.85514775159917, `190` = 2.82657039075926,     `191` = 2.27203654778748, `192` = 2.37030879867869, `193` = 2.78189657176958,     `194` = 3.01888613570589, `195` = 2.66860452934713, `196` = 2.5229466489951,     `197` = 1.96437460612657, `198` = 2.29586715480886, `199` = 2.53040196702745,     `200` = 2.17979970489295, `201` = 2.99968367627667, `202` = 2.99303164445703,     `203` = 2.09396489715103, `204` = 2.63747526906564, `205` = 2.63430036234606,     `206` = 1.62346827950003, `207` = 2.86309558489206, `208` = 1.26999728769122,     `209` = 1.72020445809491, `210` = 2.91311906510036, `211` = 2.43319556057215,     `212` = 2.39109250097856, `213` = 1.6492458519465, `214` = 1.99197336957605,     `215` = 2.55334196204763, `216` = 2.41675268048625, `217` = 2.4118017030696,     `218` = 1.82904370247393, `219` = 1.96972936169113, `220` = 4.48347814044753,     `221` = 2.43357782876622, `222` = 2.88429652654287, `223` = 3.21160807310651,     `224` = 2.85022603796191, `225` = 2.52882699909125, `226` = 2.0957307798493,     `227` = 1.87895581468756, `228` = 3.18065900342439, `229` = 2.47307935938645,     `230` = 2.78536931497109, `231` = 2.19076727042225, `232` = 2.41128760676261,     `233` = 2.37131981545313, `234` = 2.55303760371157, `235` = 2.9199693414722,     `236` = 2.60397022793523, `237` = 2.35726095482352, `238` = 2.87899977284871,     `239` = 3.13468726875723, `240` = 2.58696063484866, `241` = 2.93480037321797,     `242` = 2.52196476517132, `243` = 2.23386570374798, `244` = 1.93400574589039,     `245` = 4.36159183616138, `246` = 3.30181888171832, `247` = 2.87275271626973,     `248` = 2.68680493967785, `249` = 2.9472147026804, `250` = 2.67701679026062,     `251` = 2.43874412812383, `252` = 2.69832522750769, `253` = 2.39815127697227,     `254` = 3.27416880961077, `255` = 2.89420394072003, `256` = 2.46206595690653,     `257` = 3.02161363337767, `258` = 2.37253590878611, `259` = 3.14803716395551,     `260` = 2.30477591805902, `261` = 1.20593814723825, `262` = 3.06200642364828,     `263` = 2.99889777179038, `264` = 2.14282555354455, `265` = 2.01335804244271,     `266` = 1.32272589615639, `267` = 2.45487059993715, `268` = 1.51492463330488,     `269` = 2.31193380003934, `270` = 2.69797296272068, `271` = 3.27746164011552,     `272` = 2.37320371671454, `273` = 2.44765266363073, `274` = 2.76426830101752,     `275` = 3.14991474578698, `276` = 1.91281943159906, `277` = 1.47871083226282,     `278` = 2.66139783025367, `279` = 3.0068312744844, `280` = 2.40803144249423,     `281` = 3.19967771868625, `282` = 2.38442996368075, `283` = 2.74742751208274,     `284` = 2.74151591243007, `285` = 2.53430303102901, `286` = 2.13304771295534,     `287` = 3.03502047926305, `288` = 2.40927804101479, `289` = 2.84449715484632,     `290` = 2.69872269248432, `291` = 4.2167466822975, `292` = 2.86134949044519,     `293` = 2.3240990316239, `294` = 2.58529458327362, `295` = 2.589177826791,     `296` = 1.65132282111858, `297` = 4.12860304687622, `298` = 2.9788838201833,     `299` = 2.03941888516452, `300` = 2.74426480590544, `301` = 2.70375821808304,     `302` = 2.42445684795484, `303` = 3.91189357427476, `304` = 2.46328928597437,     `305` = 2.71213347425702, `306` = 2.75078140564015, `307` = 2.39519608769782,     `308` = 1.97652601737173, `309` = 2.49237836450657, `310` = 3.02437447193905,     `311` = 2.63718302354101, `312` = 2.85937900798305, `313` = 2.54616629469414,     `314` = 2.7903511279751, `315` = 1.61496522808629, `316` = 2.84844468900093,     `317` = 2.37133176406135, `318` = 2.2342212333381, `319` = 2.39493857884649,     `320` = 1.88745641232398, `321` = 2.39649029076404, `322` = 2.25072436441753,     `323` = 2.36943155133288, `324` = 2.42743673231805, `325` = 2.97791930992207,     `326` = 2.09234168848051, `327` = 2.36240634177489, `328` = 1.1105791288804,     `329` = 2.37013324391512, `330` = 2.26471337954389, `331` = 3.05444517174529,     `332` = 2.38980742161709, `333` = 2.37786232477323, `334` = 1.78990970602347,     `335` = 2.70944370588652, `336` = 3.5683141888971, `337` = 2.44134246962534,     `338` = 2.25972174620225, `339` = 3.00918859646008, `340` = 2.18586223684944,     `341` = 2.74330408539129, `342` = 2.86867416819939, `343` = 2.06826131293291,     `344` = 3.63151763911666, `345` = 2.85886713213127, `346` = 2.21985116812454,     `347` = 2.3815434508579, `348` = 2.41350923720854, `349` = 2.89843556037318,     `350` = 2.23898268719741, `351` = 1.29584077798455, `352` = 2.51159663534582,     `353` = 2.85257238541717, `354` = 1.77903202336168, `355` = 2.55028022270778,     `356` = 2.44782824590644, `357` = 2.46271608796213, `358` = 2.51685373998414,     `359` = 2.41583566834669, `360` = 2.3728907565472, `361` = 2.369454773508,     `362` = 3.29250303236263, `363` = 2.66285306254625, `364` = 2.49029698546202,     `365` = 1.05306070502084, `366` = 1.86455368138798, `367` = 2.88031132181863,     `368` = 2.30036007798452, `369` = 2.11837578996616, `370` = 2.40083223927156,     `371` = 2.29153752579909, `372` = 2.44953094562367, `373` = 2.62721713144288,     `374` = 3.9441196218975, `375` = 2.9557674025679, `376` = 3.66113529407979,     `377` = 2.32038023868864, `378` = 2.87211440331623, `379` = 2.39293831188164,     `380` = 2.51344798573844, `381` = 4.63994090353258, `382` = 2.42205148785717,     `383` = 2.33462597983624, `384` = 2.23050814284012, `385` = 2.88331664462298,     `386` = 4.55690943309283, `387` = 2.58261047793064, `388` = 2.54193081869031,     `389` = 4.52295683194619, `390` = 2.14060027084606, `391` = 2.99869748680244,     `392` = 2.26250701192594, `393` = 2.01249031809818, `394` = 2.97085385284773,     `395` = 2.64468402413129, `396` = 2.33395576477012, `397` = 2.63502066231726,     `398` = 2.24915693049968, `399` = 2.58574738517705, `400` = 2.3716272899945,     `401` = 1.69024305202187, `402` = 3.19926868492288, `403` = 1.77606477443688,     `404` = 1.64318193529478, `405` = 2.83237040517646, `406` = 2.88901243357697,     `407` = 2.40363001910485, `408` = 2.56124257441973, `409` = 3.15661085878286,     `410` = 3.01754450476663, `411` = 1.66908846281502, `412` = 3.04638461915898,     `413` = 2.4902496498083, `414` = 2.32355269847258, `415` = 3.20708965017669,     `416` = 2.94047492110776, `417` = 3.039308895143, `418` = 2.4463121970276,     `419` = 2.85372829272876, `420` = 2.52921117908114, `421` = 2.20126381165548,     `422` = 3.67012958834098, `423` = 2.67998235983964, `424` = 2.48875766442306,     `425` = 2.98395742646305, `426` = 2.86885943428284, `427` = 2.36948098545145,     `428` = 2.41007394201668, `429` = 3.32665939652036, `430` = 2.60667304612803,     `431` = 2.3375066389785, `432` = 3.1650659263681, `433` = 2.87830655726086,     `434` = 2.24977346407656, `435` = 2.41284105666922, `436` = 2.87304300931647,     `437` = 2.46339398769293, `438` = 2.94459097140992, `439` = 2.44625020909451,     `440` = 1.88518695389097, `441` = 2.63410511427251, `442` = 3.31221841531284,     `443` = 1.75003520014887, `444` = 2.03294189166507, `445` = 1.66007689915753,     `446` = 2.29814525739876, `447` = 3.06648380940822, `448` = 2.57970479276396,     `449` = 2.36683669531664, `450` = 2.4670869173179, `451` = 2.44602851362862,     `452` = 3.45053339543596, `453` = 3.28071687825047, `454` = 3.04908277183995,     `455` = 2.37763546512344, `456` = 2.26398601372506, `457` = 2.692748575164,     `458` = 2.62690602442052, `459` = 2.71352920569489, `460` = 2.47429183434904,     `461` = 2.4039247810575, `462` = 1.93412621996201, `463` = 2.38480340226842,     `464` = 2.07063510996225, `465` = 2.40690117392684, `466` = 2.42420000654002,     `467` = 2.81475506919669, `468` = 2.20640905191678, `469` = 2.37632831310256,     `470` = 3.53490867501887, `471` = 3.41002468731006, `472` = 2.75092976639121,     `473` = 3.09480651714885, `474` = 1.90007305083701, `475` = 3.2296327868531,     `476` = 3.02534506485739, `477` = 2.53398829371899, `478` = 2.82791722535193,     `479` = 2.55583773830625, `480` = 2.59402715530063, `481` = 1.6781326990062,     `482` = 2.87293840540908, `483` = 4.03969129126323, `484` = 3.19450816106775,     `485` = 2.68239952858409, `486` = 2.39405541049845, `487` = 2.71100128720999,     `488` = 3.00282156550285, `489` = 3.40302266876215, `490` = 2.88352616157181,     `491` = 3.52856064048011, `492` = 2.62144967861979, `493` = 2.77538989742825,     `494` = 3.59999333050544, `495` = 6.16348972719813, `496` = 2.4891599433751,     `497` = 2.37034460924193, `498` = 2.59980779332976, `499` = 2.30071384805534,     `500` = 3.07614227765401, `501` = 2.73259013984369, `502` = 3.25338285299229,     `503` = 2.04661688530079, `504` = 2.119780819561, `505` = 3.11313609957979,     `506` = 2.6988744349033, `507` = 2.38395417253592, `508` = 2.18648950581266,     `509` = 2.42837885798354, `510` = 2.68221147267643, `511` = 2.25428068095068,     `512` = 3.75887229099597, `513` = 2.65473882617471, `514` = 2.69017623822354,     `515` = 2.62515548587877, `516` = 2.34064129442189, `517` = 2.37656062416954,     `518` = 3.11073225841166, `519` = 1.65824952962201, `520` = 3.05076882119208,     `521` = 2.50896463090888, `522` = 2.77691889731644, `523` = 2.48655516799708,     `524` = 2.4847705304522, `525` = 2.83484261483298, `526` = 2.39148791182408,     `527` = 3.08293761712995, `528` = 2.11610089991802, `529` = 1.5441706288409,     `530` = 2.29338823560684, `531` = 2.2357005930668, `532` = 2.00046452981165,     `533` = 2.46775766392926, `534` = 2.37518687841549, `535` = 2.26924539949773,     `536` = 2.69708958988384, `537` = 1.7759969284976, `538` = 2.87932697846107,     `539` = 2.51924964421704, `540` = 2.41448920694114, `541` = 2.73088979297616,     `542` = 2.33592937775142, `543` = 2.42699526496006, `544` = 3.26971833241992,     `545` = 3.80927075812981, `546` = 3.64604939844582, `547` = 1.96050051349709,     `548` = 2.37166914445101, `549` = 2.60110158015077, `550` = 2.19353040701009,     `551` = 1.66039378190514, `552` = 2.81717036355495, `553` = 2.63349707431426,     `554` = 2.69710127484472, `555` = 1.90798875869868, `556` = 2.31371567893383,     `557` = 1.77090083956038, `558` = 2.37391574467976, `559` = 2.50262689711419,     `560` = 2.31168914410283, `561` = 2.22625805533233, `562` = 1.68021749593895,     `563` = 2.51377897825149, `564` = 2.09808172086947, `565` = 3.09578583530429,     `566` = 2.19900715901313, `567` = 1.80979414421884, `568` = 1.78503396884665,     `569` = 2.50774132675897, `570` = 2.49239230729125, `571` = 2.76211802056802,     `572` = 2.4495274017885, `573` = 3.28892969636115, `574` = 3.15211213487484,     `575` = 2.92840573999153, `576` = 2.7042293900111, `577` = 2.94371744049618,     `578` = 2.47580774375233, `579` = 2.92455079876968, `580` = 2.57811464680771,     `581` = 2.09501725666443, `582` = 2.11233201384487, `583` = 2.17435383560045,     `584` = 2.36979159264026, `585` = 2.67342838683219, `586` = 2.56022536590253,     `587` = 2.37232436135092, `588` = 2.27233056465191, `589` = 3.0468428457455,     `590` = 2.55069457032584, `591` = 2.09756322003269, `592` = 2.40306812582161,     `593` = 2.45500210452847, `594` = 2.86907537820904, `595` = 2.60261574773351,     `596` = 2.46107520830906, `597` = 1.85902245529062, `598` = 2.89225570374173,     `599` = 2.65436849639519, `600` = 2.87087714348427, `601` = 3.46886542980082,     `602` = 2.68512701414622, `603` = 2.35003691394945, `604` = 2.14627270516146,     `605` = 2.23384069990504, `606` = 2.26441295743203, `607` = 2.85303023058625,     `608` = 2.52519561937849, `609` = 1.57105260574496, `610` = 2.37037349981258,     `611` = 3.04865674785886, `612` = 2.66980960831409, `613` = 2.26749788061542,     `614` = 2.82468867713131, `615` = 2.3195107615215, `616` = 2.45284107326388,     `617` = 2.56240566991253, `618` = 3.5032340625682, `619` = 2.99012848419003,     `620` = 3.69815882893603, `621` = 2.90806077391049, `622` = 2.69781322229088,     `623` = 3.14076048190506, `624` = 4.49059794128407, `625` = 3.74525948670074,     `626` = 2.36112028298741, `627` = 2.40385272685886, `628` = 2.6893053745018,     `629` = 2.3797231366545, `630` = 2.71343039320212, `631` = 2.24472670443739,     `632` = 2.93449351293732, `633` = 4.64415079258173, `634` = 2.94929885043176,     `635` = 2.8726564625836, `636` = 2.61383490293316, `637` = 3.26153429983134,     `638` = 2.47400494380402, `639` = 3.01176455064242, `640` = 3.49592172694681,     `641` = 2.67957734578401, `642` = 3.17453140868152, `643` = 2.32665270498733,     `644` = 2.7575036297423, `645` = 2.0689328843544, `646` = 2.46785376746714,     `647` = 3.32570305967851, `648` = 0.905248324266446, `649` = 2.50428948117561,     `650` = 2.53912900337754, `651` = 2.3826549275648, `652` = 2.44542191253417,     `653` = 2.62469142433065, `654` = 2.65637163809148, `655` = 2.66860851254179,     `656` = 2.38249985819357, `657` = 2.66226570688936, `658` = 3.3192449193186,     `659` = 2.73111344992993, `660` = 3.04282974391802, `661` = 2.45256085675311,     `662` = 2.67768607034304, `663` = 2.77783018778015, `664` = 2.1579712498587,     `665` = 2.37298409942318, `666` = 3.77862150624116, `667` = 2.11634477584323,     `668` = 2.94397684292152, `669` = 2.36024450269283, `670` = 1.96870553397572,     `671` = 1.70461446504352, `672` = 2.11940451882738, `673` = 1.7263870453371,     `674` = 2.08704111428627, `675` = 2.95687309973058, `676` = 2.37665447487459,     `677` = 3.15422627810539, `678` = 2.49702523812035, `679` = 1.92644836113277,     `680` = 2.34875871370472, `681` = 2.22844659869117, `682` = 2.28679608898358,     `683` = 2.62823063420633, `684` = 2.45143195137904, `685` = 2.8489110203038,     `686` = 2.65175935979436, `687` = 2.88524094060349, `688` = 2.5952722765178,     `689` = 2.37231532291548, `690` = 2.76339467172705, `691` = 2.8873289565435,     `692` = 2.30150257336182, `693` = 2.49468059867389, `694` = 2.9386886921381,     `695` = 3.75746997650522, `696` = 2.66568016818031, `697` = 2.4930667288634,     `698` = 3.13380307686093, `699` = 2.10019517768552, `700` = 2.38255703596884,     `701` = 2.86056652465783, `702` = 2.25938206522155, `703` = 2.89379813499127,     `704` = 2.25180330762531, `705` = 2.65134453007541, `706` = 2.49261895369649,     `707` = 2.92482004635633, `708` = 2.99960795197273, `709` = 2.39534315168548,     `710` = 2.80968394898164, `711` = 1.5365706856904, `712` = 2.36240206475222,     `713` = 1.74480446929666, `714` = 2.69272631893605, `715` = 2.51260627559957,     `716` = 2.46876974298805, `717` = 2.40833157695587, `718` = 3.3687784443709,     `719` = 2.5060766692575, `720` = 3.76322910561409, `721` = 2.68274467180769,     `722` = 2.73776984498368, `723` = 3.20084163854064, `724` = 2.15532930018422,     `725` = 2.37168049406483, `726` = 2.49101118391487, `727` = 2.64893383948362,     `728` = 2.55000347491773, `729` = 2.23662652396895, `730` = 3.20003639165197,     `731` = 2.66800696736024, `732` = 3.05525636675038, `733` = 1.18148846416636,     `734` = 3.54271987460358, `735` = 2.99515813678729, `736` = 2.39151522397183,     `737` = 2.38585928232041, `738` = 3.08656767068624, `739` = 2.61626780552435,     `740` = 2.97115704778034, `741` = 3.03439656895824, `742` = 2.37931601007593,     `743` = 2.33883331819551, `744` = 1.60348696140688, `745` = 1.11688145045703,     `746` = 2.57736600422859, `747` = 2.66802533594202, `748` = 2.26404981534278,     `749` = 3.07219106215321, `750` = 2.77050828138718, `751` = 2.428794530875,     `752` = 2.44110931378247, `753` = 2.99082624009212, `754` = 2.80966642752265,     `755` = 2.89406725105139, `756` = 2.77030884986535, `757` = 4.15811193019416,     `758` = 2.57886699953155, `759` = 2.2280269081183, `760` = 2.23759767417144,     `761` = 2.5058665552149, `762` = 2.35823648366692, `763` = 2.57415384248165,     `764` = 3.10240981596749, `765` = 2.37066373006279, `766` = 1.26531154683944,     `767` = 3.17649132143359, `768` = 2.75939408955155, `769` = 2.92685172692651,     `770` = 2.3324407578609, `771` = 2.65018850565418, `772` = 1.61809174258647,     `773` = 2.71163104961438, `774` = 2.7686205447316, `775` = 2.07510786293649,     `776` = 2.19346015793001, `777` = 3.05666417694624, `778` = 2.61234105858666,     `779` = 2.46128612603711, `780` = 2.74057681523593, `781` = 1.82127812685098,     `782` = 2.95877261683777, `783` = 1.74839601569804, `784` = 1.88235766204648,     `785` = 2.82663471616036, `786` = 3.00464332237119, `787` = 1.84219985532157,     `788` = 3.04630071488416, `789` = 2.83071631673509, `790` = 2.50017115705951,     `791` = 2.37261285446862, `792` = 1.98067493063167, `793` = 2.47455687271204,     `794` = 3.62089358349168, `795` = 1.73327011655719, `796` = 1.99643069057204,     `797` = 4.06628378549785, `798` = 1.90545718313818, `799` = 1.36597756677296,     `800` = 2.60145375327965), call = ols(formula = y ~ rcs(age,         4) * treat * sex), terms = y ~ rcs(age, 4) * treat *         sex, Design = list(name = c("age", "treat", "sex", "age * treat",     "age * sex", "treat * sex", "age * treat * sex"), label = c("age",     "treat", "sex", "age * treat", "age * sex", "treat * sex",     "age * treat * sex"), units = c(age = "", treat = "", sex = ""    ), colnames = c("age", "age'", "age''", "treat=placebo",     "sex=male", "age * treat=placebo", "age' * treat=placebo",     "age'' * treat=placebo", "age * sex=male", "age' * sex=male",     "age'' * sex=male", "treat=placebo * sex=male", "age * treat=placebo * sex=male",     "age' * treat=placebo * sex=male", "age'' * treat=placebo * sex=male"    ), mmcolnames = c("rcs(age, 4)age", "rcs(age, 4)age'", "rcs(age, 4)age''",     "treatplacebo", "sexmale", "rcs(age, 4)age:treatplacebo",     "rcs(age, 4)age':treatplacebo", "rcs(age, 4)age'':treatplacebo",     "rcs(age, 4)age:sexmale", "rcs(age, 4)age':sexmale", "rcs(age, 4)age'':sexmale",     "treatplacebo:sexmale", "rcs(age, 4)age:treatplacebo:sexmale",     "rcs(age, 4)age':treatplacebo:sexmale", "rcs(age, 4)age'':treatplacebo:sexmale"    ), assume = c("rcspline", "category", "category", "interaction",     "interaction", "interaction", "interaction"), assume.code = c(4L,     5L, 5L, 9L, 9L, 9L, 9L), parms = list(age = c(33.006063739913,     46.0450788298244, 53.6005047434426, 67.3753079336887), treat = c("drug",     "placebo"), sex = c("female", "male"), `age * treat` = structure(c(1,     2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `age * sex` = structure(c(1,     3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `treat * sex` = structure(c(2,     3, 0, 0, 0, 0), dim = 3:2, dimnames = list(NULL, c("parms",     ""))), `age * treat * sex` = structure(c(1L, 2L, 3L, 0L,     0L, 0L, 1L, 0L, 0L, 1L, 0L, 0L), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", "")))), limits = list(), values = list(),         nonlinear = list(age = c(FALSE, TRUE, TRUE), treat = FALSE,             sex = FALSE, `age * treat` = c(FALSE, TRUE, TRUE),             `age * sex` = c(FALSE, TRUE, TRUE), `treat * sex` = FALSE,             `age * treat * sex` = c(FALSE, TRUE, TRUE)), tex = list(),         interactions = structure(c(1, 2, 0, 1, 3, 0, 2, 3, 0,         1, 2, 3), dim = 3:4)), non.slopes = 1, na.action = NULL,     scale.pred = "y", fail = FALSE, sformula = y ~ rcs(age, 4) *         treat * sex), class = c("ols", "rms", "lm")), factors = list(    x1 = 0), expand = TRUE): factor(s) not in design: x1

# All contrasts were redundant except for the first 3, because of
# cubic regression assumption
# These Wald tests and intervals are not very accurate.  Although joint
# testing is not implemented in contrast(), individual profile likelihood
# confidence intervals and associted likelihood ratio tests are helpful:
# contrast(f, list(x1=0), list(x1=xs), conf.type='profile', plot_profile=TRUE)

# Now do something that is difficult to do without cryptic contrast
# matrix operations: Allow each of the three x2 groups to have a different
# shape for the x1 effect where x1 is quadratic.  Test whether there is
# a difference in mean levels of y for x2='b' vs. 'c' or whether
# the shape or slope of x1 is different between x2='b' and x2='c' regardless
# of how they differ when x2='a'.  In other words, test whether the mean
# response differs between group b and c at any value of x1.
# This is a 3 d.f. test (intercept, linear, quadratic effects) and is
# a better approach than subsetting the data to remove x2='a' then
# fitting a simpler model, as it uses a better estimate of sigma from
# all the data.

f <- ols(y ~ pol(x1,2) * x2)
#> Error in Design(X, formula = formula): dataset dd not found for options(datadist=)
anova(f)
#> Warning: tests of nonlinear interaction with respect to single component 
#> variables ignore 3-way interactions
#>                 Analysis of Variance          Response: y 
#> 
#>  Factor                                           d.f. Partial SS MS    F    
#>  age  (Factor+Higher Order Factors)                12  221.75     18.48 16.51
#>   All Interactions                                  9   32.75      3.64  3.25
#>   Nonlinear (Factor+Higher Order Factors)           8   33.38      4.17  3.73
#>  treat  (Factor+Higher Order Factors)               8   29.35      3.67  3.28
#>   All Interactions                                  7   25.69      3.67  3.28
#>  sex  (Factor+Higher Order Factors)                 8   44.94      5.62  5.02
#>   All Interactions                                  7   38.59      5.51  4.93
#>  age * treat  (Factor+Higher Order Factors)         6   13.53      2.26  2.02
#>   Nonlinear (Factor+Higher Order Factors)           4    9.73      2.43  2.17
#>   Nonlinear Interaction : f(A,B) vs. AB             2    9.47      4.74  4.23
#>  age * sex  (Factor+Higher Order Factors)           6   24.86      4.14  3.70
#>   Nonlinear (Factor+Higher Order Factors)           4   21.31      5.33  4.76
#>   Nonlinear Interaction : f(A,B) vs. AB             2   18.82      9.41  8.41
#>  treat * sex  (Factor+Higher Order Factors)         4   21.54      5.38  4.81
#>  age * treat * sex  (Factor+Higher Order Factors)   3    8.26      2.75  2.46
#>   Nonlinear                                         2    4.92      2.46  2.20
#>  TOTAL NONLINEAR                                    8   33.38      4.17  3.73
#>  TOTAL INTERACTION                                 10   44.92      4.49  4.01
#>  TOTAL NONLINEAR + INTERACTION                     12   50.10      4.18  3.73
#>  REGRESSION                                        15  247.46     16.50 14.74
#>  ERROR                                            784  877.55      1.12      
#>  P     
#>  <.0001
#>  0.0007
#>  0.0003
#>  0.0011
#>  0.0019
#>  <.0001
#>  <.0001
#>  0.0613
#>  0.0703
#>  0.0149
#>  0.0012
#>  0.0008
#>  0.0002
#>  0.0008
#>  0.0617
#>  0.1119
#>  0.0003
#>  <.0001
#>  <.0001
#>  <.0001
#>        
contrast(f, list(x1=xs, x2='b'),
            list(x1=xs, x2='c'), type='joint')
#> Error in gendata(structure(list(coefficients = c(Intercept = 3.81130652398641, age = -0.0364542267418386, `age'` = 0.148834151508506, `age''` = -0.308632674204754, `treat=placebo` = -4.30283998912834, `sex=male` = -4.63346348145351, `age * treat=placebo` = 0.0998279739052187, `age' * treat=placebo` = -0.213913393443712, `age'' * treat=placebo` = 0.67409687853917, `age * sex=male` = 0.104212923375674, `age' * sex=male` = -0.158890866453074, `age'' * sex=male` = 0.246292360607691, `treat=placebo * sex=male` = 5.22560180935418, `age * treat=placebo * sex=male` = -0.114281894990881, `age' * treat=placebo * sex=male` = 0.190288298144725, `age'' * treat=placebo * sex=male` = -0.531569263503839), residuals = c(`1` = 0.473393142582745, `2` = -0.141559791486677, `3` = -0.788168025049547, `4` = 0.21054460675534, `5` = -0.052168426620235, `6` = 0.761192562957081, `7` = 0.294525427210084, `8` = 0.778992893373488, `9` = 0.417287271554842, `10` = 0.290026003424354, `11` = 0.77328492180143, `12` = -2.21856076335012, `13` = 0.620135735603211, `14` = -0.982486976113407, `15` = 0.389096872806126, `16` = 1.59165472133739, `17` = -0.409213518976697, `18` = -1.01752036715792, `19` = -0.181346995214259, `20` = 1.55581748864713, `21` = 0.139346338170896, `22` = 0.182066734033289, `23` = -0.618424389312127, `24` = -0.554081714108963, `25` = -0.171166590200338, `26` = -1.62301559024683, `27` = 1.27268310855217, `28` = -0.297789023228669, `29` = -1.9880106628626, `30` = -0.0368175155551034, `31` = -0.196960382730091, `32` = -1.51235368602801, `33` = 2.09241307495163, `34` = -1.07041636223387, `35` = -1.24454134745706, `36` = 0.576950328441049, `37` = 0.521488615375679, `38` = -0.229134628183383, `39` = 0.00400141112061388, `40` = -0.990190237387313, `41` = 1.2851274365228, `42` = 0.412589547973587, `43` = -0.787399977989638, `44` = 0.769006437456616, `45` = 0.988895426233647, `46` = -0.630295684848831, `47` = 0.562724155069554, `48` = -1.02269815967957, `49` = 2.02836178241615, `50` = 0.578962554814852, `51` = -0.0651227409029367, `52` = -0.482601584661845, `53` = -0.122710775094478, `54` = -0.745924474389847, `55` = 0.129232404629066, `56` = 0.69644800326718, `57` = -0.383650193614412, `58` = -1.03505602134916, `59` = -1.63181622155276, `60` = 0.629963250715442, `61` = 0.411215136470065, `62` = -0.127687518348258, `63` = -0.469469751114936, `64` = 0.318556449350774, `65` = -1.25267393092262, `66` = -1.39145828713222, `67` = -1.50318216737249, `68` = -0.570988109041285, `69` = 0.758112000717413, `70` = 0.764329699642486, `71` = -0.499944600769316, `72` = 1.3565106792036, `73` = -1.09027293012492, `74` = -0.393603041309807, `75` = -0.620376160132382, `76` = 0.265615235504436, `77` = -1.6461764280938, `78` = 1.2659298679682, `79` = 1.14059651838309, `80` = 0.791415273046844, `81` = 0.0314759530563674, `82` = 1.15851435544224, `83` = 0.471405507875407, `84` = 0.927581672841119, `85` = 0.164476032654289, `86` = 0.510352863388586, `87` = -2.33584512359756, `88` = -0.34780227924363, `89` = 1.10708324238512, `90` = 0.094798752715391, `91` = -1.23649875869111, `92` = -0.910146298085997, `93` = -0.683990253631276, `94` = 2.09490238568856, `95` = -0.0760714931017753, `96` = -0.573286663753271, `97` = -1.98908763334468, `98` = -1.81647642962243, `99` = 1.32438574368848, `100` = -0.86903377235127, `101` = 1.40641158624571, `102` = -0.360743393233509, `103` = -2.33335838717408, `104` = 2.17624702802662, `105` = -0.977495246805378, `106` = -0.408795499563846, `107` = 0.157762335504203, `108` = -0.133874450719822, `109` = -1.4245090565002, `110` = -1.53795672784485, `111` = 1.28342330422267, `112` = -0.905054646526503, `113` = 1.02311908315981, `114` = 1.67008317138642, `115` = -0.71401825217723, `116` = -0.578153505698901, `117` = -1.95986738456425, `118` = 1.89141370855209, `119` = -0.779653582026061, `120` = -0.0632922274198554, `121` = -1.27400237607834, `122` = 1.10713913145023, `123` = 1.57817020329863, `124` = 0.302648894059498, `125` = -0.44530813884912, `126` = -1.56720865277409, `127` = 1.26760092041906, `128` = 0.702371105475438, `129` = -0.0126092509352822, `130` = 1.3261327498269, `131` = 1.34157201563317, `132` = -0.437113083384821, `133` = -1.22319240883817, `134` = 1.10738117649282, `135` = 0.732099554148857, `136` = -0.131637260437666, `137` = 3.03471394221772, `138` = -2.54280583571282, `139` = -0.194474563460366, `140` = 1.11126010268969, `141` = 1.54804718702491, `142` = 0.987423986854891, `143` = 0.2270208340922, `144` = 0.774506729389174, `145` = 0.530040440803476, `146` = 0.0480187567561099, `147` = -0.760816625072516, `148` = 1.60621319216395, `149` = -0.314437680874743, `150` = -0.327722008888805, `151` = 0.206624190196415, `152` = 0.0617307906368444, `153` = -2.00040383856708, `154` = -0.458530949692246, `155` = 0.458977472470989, `156` = 1.19787630775429, `157` = -1.19270271783315, `158` = -0.625978129815824, `159` = -2.33795700121927, `160` = 0.69145784309282, `161` = 0.133499618785992, `162` = 0.861126548699294, `163` = -0.968400958900246, `164` = 0.593799579402085, `165` = 0.999546907045159, `166` = -0.165590178876463, `167` = 0.927907153642925, `168` = 0.97708644273119, `169` = -1.56469829290578, `170` = 0.325942381829308, `171` = -2.52328229293399, `172` = -0.220554561892202, `173` = -0.578995539868613, `174` = 0.943962991225024, `175` = -0.28762618678959, `176` = -0.623671701835947, `177` = -0.0341104023900253, `178` = 0.157640040779364, `179` = -0.677970796516483, `180` = -0.797916706774773, `181` = -1.20816910766897, `182` = -1.59804104009406, `183` = -0.723459862012967, `184` = 0.0690788908253884, `185` = -1.4455806298819, `186` = 0.422969891784379, `187` = -0.887030288014093, `188` = 0.377087057164622, `189` = 0.178111741409501, `190` = -0.362378737758759, `191` = -1.95828918660721, `192` = -1.46799011274907, `193` = -2.56615377178761, `194` = 1.36761607831182, `195` = -0.408212369596027, `196` = 1.75680421917922, `197` = -1.36059376866375, `198` = 1.47639510785232, `199` = 1.04571766902045, `200` = -0.78594720595898, `201` = 0.78188441248486, `202` = 0.644318907294342, `203` = -0.176077616379735, `204` = 1.47487230092207, `205` = -0.344437358216782, `206` = 2.07294602737772, `207` = -1.15341579063268, `208` = 1.58614770595903, `209` = -0.36758868526355, `210` = 0.440207666569601, `211` = -0.275306420511773, `212` = -0.132424702653712, `213` = -0.0482918827367892, `214` = 0.700333579034905, `215` = 0.153552167666028, `216` = 1.354904437276, `217` = -0.0940210930784746, `218` = 0.178249213418117, `219` = -0.0718590169721228, `220` = -0.372132565126363, `221` = 0.2743337233337, `222` = 0.995628997256991, `223` = 0.887256216024083, `224` = 1.02740258604454, `225` = 1.85132165161094, `226` = 0.135133292496099, `227` = 0.272018643509762, `228` = 1.623520847384, `229` = -0.0371489772319791, `230` = -1.02981802460295, `231` = -0.850432580867964, `232` = -0.565802227982752, `233` = -1.30510264397433, `234` = 1.25007618135143, `235` = -0.57526258593963, `236` = 1.24186815887754, `237` = 2.4105885346059, `238` = -0.347283504658361, `239` = 0.563423156759932, `240` = -0.662253648583073, `241` = 2.95491788703927, `242` = -0.961770230160829, `243` = 0.955674155023439, `244` = 0.972303956215665, `245` = 0.98934493625832, `246` = 1.10414013365689, `247` = 0.611263225798478, `248` = 0.568958545849905, `249` = -0.854717847927866, `250` = 0.350946835829447, `251` = -0.292457058101941, `252` = 2.75357107350176, `253` = 0.834242176262766, `254` = 1.26696116962087, `255` = -2.21287516293338, `256` = -1.28952973897863, `257` = -0.891829646108193, `258` = -0.459611780815687, `259` = -0.360470725493518, `260` = 0.641678262155804, `261` = -0.103990683020398, `262` = -0.178524851655183, `263` = 1.25677935380373, `264` = -2.13892491708195, `265` = -0.291827529434965, `266` = 1.12341318276903, `267` = 1.11983686151372, `268` = -0.137741552160711, `269` = -0.652781641884896, `270` = -0.216624624750199, `271` = -0.353021091043571, `272` = -0.297813327146467, `273` = -1.36327372004937, `274` = -0.205915013958304, `275` = 0.443664560139034, `276` = -0.449297489381728, `277` = -0.894191238077295, `278` = -1.79203325611391, `279` = -0.338917970655343, `280` = 1.78454097846621, `281` = -0.486091714453967, `282` = -0.591510503346713, `283` = 2.73050658453025, `284` = -1.97455321466408, `285` = 0.119995857914282, `286` = 0.719969756085881, `287` = -0.382643281434768, `288` = 1.27441154210719, `289` = 0.794322022197328, `290` = 0.0192342199461539, `291` = -1.10256862275973, `292` = 0.317607647584267, `293` = -0.313727631989234, `294` = -0.97124484737473, `295` = -0.000554259159670144, `296` = 0.38261760244071, `297` = -0.0103759782320025, `298` = 0.901824392365618, `299` = -2.43376069040953, `300` = 0.685216088057129, `301` = -0.65380455159173, `302` = 0.362082168407164, `303` = 1.22563369526588, `304` = 0.176269416098703, `305` = 0.0603768424851903, `306` = -2.67850521791345, `307` = -1.11241691981968, `308` = 0.729911896694816, `309` = -1.4325825658838, `310` = -0.0606715332645114, `311` = 0.240679514346496, `312` = -0.36041902727999, `313` = -0.729918732527916, `314` = -1.47883030018216, `315` = 0.447833665156941, `316` = -1.91727568754626, `317` = -0.796563030292006, `318` = -0.0786569709999069, `319` = -0.912599036896566, `320` = -0.374280879830022, `321` = 0.913925288194581, `322` = 0.0474455921381818, `323` = 0.267830904503625, `324` = 1.39415054076247, `325` = 0.0335244297731983, `326` = 0.0636535096050474, `327` = -1.95400847855562, `328` = 0.184180234167246, `329` = -0.630138130177308, `330` = -1.23937518977461, `331` = 1.21908437476211, `332` = 0.0886511555240727, `333` = 1.067459014511, `334` = -0.897215731172858, `335` = -2.43184076594686, `336` = 0.248715846417063, `337` = 1.00186646100921, `338` = 2.57202091329185, `339` = 1.06115664145703, `340` = 1.03242583230715, `341` = -0.516295870204025, `342` = 0.373684256030876, `343` = -0.696287403144038, `344` = 0.507426741798138, `345` = -1.14483927721652, `346` = -0.347702006329537, `347` = -1.34120925655074, `348` = 0.132263987256395, `349` = 0.461052261030674, `350` = 0.0364585430873317, `351` = -0.371637290517893, `352` = -0.250277953651279, `353` = -1.60952300211484, `354` = -0.0811655594020712, `355` = -1.94480643727683, `356` = 0.0367058513086389, `357` = 1.84673389295959, `358` = 0.687352765565837, `359` = 1.54834126785165, `360` = 1.47999715561202, `361` = -0.199412609175701, `362` = 0.442441122559382, `363` = -1.93794678614154, `364` = 0.903480758590514, `365` = -0.878779905489679, `366` = 0.93814648685653, `367` = -1.87001575381933, `368` = 1.14323506747458, `369` = -0.725525776777194, `370` = 1.52506612906047, `371` = 0.00133214565857233, `372` = -0.838325869616721, `373` = 0.619360156838574, `374` = 0.0185145811407747, `375` = -0.58793826643742, `376` = -0.809633520870028, `377` = 2.42474631250702, `378` = -0.899589296893904, `379` = 0.666213188688393, `380` = -0.224862675418023, `381` = -0.972357798866612, `382` = -1.31865648202374, `383` = -1.47590975195639, `384` = -1.42865950669184, `385` = -1.49391787590036, `386` = 0.735425852771022, `387` = -0.113293590187947, `388` = 1.82657917147067, `389` = 0.684065496953059, `390` = 1.61818216434126, `391` = 0.569787413227696, `392` = 0.872287836388432, `393` = 0.443883392621181, `394` = -0.263756227170968, `395` = 0.778842679122107, `396` = 0.00386362534273763, `397` = 0.906521196971356, `398` = -0.769442771559844, `399` = 0.918485635776285, `400` = -0.183600646187187, `401` = -0.854910509609521, `402` = -1.65994175471195, `403` = 1.41522115542652, `404` = 0.323028751572093, `405` = -0.0393960735383096, `406` = 0.761127380405703, `407` = 0.0518915602823483, `408` = -1.47493631559061, `409` = -2.05463374640576, `410` = -0.0262636160583861, `411` = -0.277152617048994, `412` = -0.95237179052035, `413` = 0.524979812606982, `414` = -0.30867595543128, `415` = 0.751031553977189, `416` = 1.32068395900713, `417` = -0.525437630091273, `418` = -0.82145895157684, `419` = 0.177714874920089, `420` = 1.54384127078222, `421` = -1.69461301507659, `422` = -1.12891772319357, `423` = -0.814871565802017, `424` = 0.358721105700531, `425` = 2.4283421361755, `426` = -0.44303787458905, `427` = -0.29598138757007, `428` = -1.6397583939611, `429` = -0.564934508157389, `430` = 0.625765363492575, `431` = -0.730962962130021, `432` = -0.417207085813908, `433` = -0.329865255662936, `434` = -0.0812245264952631, `435` = 1.70677405289037, `436` = 1.29706910069198, `437` = 2.10461847554973, `438` = -1.81676326145784, `439` = -0.408964591583987, `440` = 0.831861743697683, `441` = -0.368848037368429, `442` = 0.701150634706081, `443` = -0.629670051750208, `444` = -1.89424938156875, `445` = -1.03510035005447, `446` = 1.91654699439126, `447` = -0.137342244885132, `448` = 1.63161829549619, `449` = 0.872678003141009, `450` = 0.7354940205863, `451` = 1.71013693442075, `452` = -1.50536568326281, `453` = -0.260600196842927, `454` = -0.205015767917604, `455` = -0.799765233209928, `456` = -0.27203163937395, `457` = -1.97187543477011, `458` = -1.549080711885, `459` = 0.534916953819233, `460` = 0.267228963565255, `461` = 1.40004004146821, `462` = -0.231856921651543, `463` = -0.269343297756892, `464` = -0.351253623054593, `465` = -0.865256406841322, `466` = 0.322082355332635, `467` = -1.17690997944313, `468` = 0.534593844400968, `469` = -0.0540326192287986, `470` = 0.547909049107145, `471` = 1.33178809602133, `472` = -0.318723594185765, `473` = -0.174539116340187, `474` = 0.0645307518722822, `475` = -0.363815536468061, `476` = 1.69046367398989, `477` = 0.0558511635150722, `478` = 0.853076900725734, `479` = 0.353208463444756, `480` = 1.26624811768733, `481` = -0.175276235619638, `482` = -2.67968807484938, `483` = 0.140650878745784, `484` = -0.683261859913555, `485` = 0.39988913139711, `486` = -0.921886641491984, `487` = -0.123478700464778, `488` = -0.483834170295311, `489` = -0.410132833268128, `490` = -0.630367617844952, `491` = -0.898087147980022, `492` = 0.061419860055552, `493` = -1.24305510798906, `494` = -0.199396181289918, `495` = -0.324262165272746, `496` = -0.654781741789735, `497` = 1.87250328682731, `498` = -1.74630441027651, `499` = 0.0275580206618543, `500` = -1.14997326268865, `501` = -1.40301688821418, `502` = -0.14100649790472, `503` = 2.16148598856364, `504` = 1.19952737027423, `505` = 0.353897451004024, `506` = -0.739164373388727, `507` = 2.15860514356829, `508` = -0.457866905854127, `509` = -1.09598276735103, `510` = -1.24445107762985, `511` = -0.601946374367648, `512` = 1.75106898973113, `513` = 1.05292684391896, `514` = 0.465292485092317, `515` = -1.76974816885205, `516` = -0.260967988129897, `517` = 1.13139835620884, `518` = -0.346246228656431, `519` = -0.509655431433273, `520` = 0.0446962529239993, `521` = -0.893603197098097, `522` = -0.264265589387314, `523` = 2.37927093190715, `524` = 0.56623940637046, `525` = 1.26084854960676, `526` = -0.16122008287042, `527` = -0.476290255141048, `528` = 0.62792198670192, `529` = -1.42352810998377, `530` = 1.24879131206239, `531` = -0.243473120349148, `532` = -2.93573308282161, `533` = -0.836853203515277, `534` = -0.289078433350248, `535` = 2.0146017680782, `536` = -0.112083638190287, `537` = -1.34164918116908, `538` = -0.286109197263816, `539` = -0.921551331259077, `540` = -1.50762020479464, `541` = -0.899204724499733, `542` = -1.84270843154796, `543` = 2.47910460085213, `544` = 0.355823818882617, `545` = 0.706619369595011, `546` = -1.06623568528134, `547` = 1.27849806285197, `548` = 0.650459328938198, `549` = -1.08448801914052, `550` = -0.331096713214464, `551` = -0.362181387236569, `552` = 1.36520633218548, `553` = -0.228989645926182, `554` = 1.19532656192675, `555` = 0.720309310162288, `556` = -0.283118690576896, `557` = 0.0935562293552512, `558` = -0.73632605030403, `559` = -0.386018975162292, `560` = -1.61510382032058, `561` = -0.647358021747128, `562` = -0.198189055902959, `563` = -0.231859676486582, `564` = 2.46984610041161, `565` = 0.401287656437332, `566` = -1.50462690049602, `567` = 1.06286502976489, `568` = -0.275807347295196, `569` = 1.40163112935451, `570` = -0.135627762285509, `571` = 1.59671907753339, `572` = 0.0332454746191333, `573` = -0.46390113438653, `574` = 2.04667164615292, `575` = -1.26648358451873, `576` = 0.34241800164842, `577` = -0.862845130940423, `578` = 1.17888758326791, `579` = 0.482871358449955, `580` = -0.586203075632172, `581` = -0.313436280167181, `582` = 0.666317498206885, `583` = -1.09381644255708, `584` = -0.64706278998496, `585` = 0.522473010345057, `586` = 0.69004630757896, `587` = -1.58732753392557, `588` = -0.0292439105393772, `589` = -0.95223314589784, `590` = -0.810897881173304, `591` = 1.09047425654457, `592` = 1.0984719685864, `593` = -0.101880226320777, `594` = -0.885731653711405, `595` = 0.165247458264157, `596` = 1.67817302478363, `597` = 1.02740874816144, `598` = 0.407098533975226, `599` = 0.0212323212915641, `600` = 1.05709190123365, `601` = 0.721513274718439, `602` = 0.71360654872932, `603` = -0.702932488448542, `604` = -2.71950727348554, `605` = -0.589089845429238, `606` = 1.0773579551258, `607` = -0.173410813853688, `608` = -0.663243953069262, `609` = -1.97911747657479, `610` = -0.474745855259661, `611` = -0.814679133694167, `612` = -0.653757145370431, `613` = 0.0722862425134145, `614` = -0.224191614571255, `615` = 1.26727670748956, `616` = -1.57412936537123, `617` = -1.51938372179535, `618` = -1.01159427196705, `619` = 0.127049137158835, `620` = 2.25803738472732, `621` = 1.45125433397264, `622` = -0.41145899206481, `623` = -0.479687499365016, `624` = 1.31638641894359, `625` = 0.391330002961166, `626` = -0.389456294379096, `627` = 0.0585043435648092, `628` = 1.09446808322787, `629` = 0.0146191695005953, `630` = 0.126506704022758, `631` = 0.760425067297108, `632` = -0.516005945923311, `633` = -1.98122694670427, `634` = 0.011026550928697, `635` = 1.22053538149303, `636` = -0.250159969858279, `637` = 0.992895735013286, `638` = -0.561635743470546, `639` = -0.741059041672562, `640` = 0.228842364481597, `641` = -0.484357418131607, `642` = 0.167843895096638, `643` = 0.961398356412197, `644` = -0.439590532664392, `645` = -0.120176486308383, `646` = 0.952901925716894, `647` = 1.54027188688194, `648` = -0.200071606038271, `649` = -0.370593024292862, `650` = -0.489866105018164, `651` = 0.99807649275207, `652` = -0.666729663960561, `653` = -0.719481828892707, `654` = -0.287111429652809, `655` = -1.40296029636829, `656` = -0.307156948909019, `657` = -0.432180139816106, `658` = -0.0655155763153287, `659` = 0.783149637579721, `660` = 1.77511674298001, `661` = 0.858748165133872, `662` = -1.15741607406915, `663` = 1.47852495973671, `664` = 0.77739201019174, `665` = 0.191592881379408, `666` = 1.0005740448232, `667` = 0.51192647401808, `668` = -0.122685536995748, `669` = -0.575662329971165, `670` = 0.868342008354016, `671` = -2.18288020451937, `672` = -0.377447729738174, `673` = -1.32851313123068, `674` = -2.04917816509898, `675` = 0.252456896271665, `676` = -0.00455759699316366, `677` = -1.80988772612292, `678` = -0.276704117303584, `679` = 0.525186032973322, `680` = 0.651829393276619, `681` = 0.271425733169605, `682` = 0.710379930452424, `683` = 0.124270638581215, `684` = 0.457124159009988, `685` = -0.0831111801632644, `686` = -0.918521479885603, `687` = 0.255674046162417, `688` = 0.893358978410407, `689` = 2.40262062264375, `690` = -0.480158297042548, `691` = 0.0370645329551433, `692` = -2.13030267718804, `693` = -0.980839303313051, `694` = 1.39772326518982, `695` = -0.17132646184608, `696` = 0.460408340786116, `697` = 0.478251291173555, `698` = -0.757248447085629, `699` = -0.206535309703804, `700` = 0.349975367908024, `701` = -0.247233949170307, `702` = -0.0162895051132212, `703` = -0.60099445259856, `704` = -1.37556588385377, `705` = 0.645622435957847, `706` = 1.4013001557138, `707` = 0.202694307230844, `708` = 0.0956946271562169, `709` = -0.241541600821264, `710` = 1.41187869168221, `711` = 1.16354084643934, `712` = 1.41065660623005, `713` = 0.773256870269722, `714` = 0.183455204067203, `715` = 0.480042465027015, `716` = 0.294571740526009, `717` = -1.20260918153325, `718` = 2.23428656648947, `719` = -1.1515462705905, `720` = 0.616198841192538, `721` = -1.41866870384524, `722` = -0.951966350087608, `723` = -0.352485148907089, `724` = -1.42086086122911, `725` = 0.0582291636091519, `726` = -1.03902533879805, `727` = 0.0996535606923858, `728` = 1.84806459684644, `729` = 0.769984914249602, `730` = -1.42845531193888, `731` = 0.370737032050522, `732` = 0.0654514348826629, `733` = 1.77481413849243, `734` = 0.590916559430136, `735` = -0.0976196494326984, `736` = -1.15398676759493, `737` = 0.048500857472991, `738` = 1.43728575012931, `739` = -0.969080437830227, `740` = -0.71736093120723, `741` = 1.03777139727611, `742` = 0.958306045718272, `743` = -0.274420680706018, `744` = -0.300947151495689, `745` = 0.0421269080315298, `746` = 1.02885153552682, `747` = 0.0254833900179468, `748` = 0.243121699570229, `749` = 1.69002191128667, `750` = 0.836142919340155, `751` = 1.28824988628336, `752` = 1.80408876812388, `753` = -0.155972070968765, `754` = -0.0972269255301354, `755` = 0.173923472482183, `756` = 0.429328031436448, `757` = -0.434125625965263, `758` = 0.199289404917013, `759` = -0.931578567641512, `760` = 0.385669117507831, `761` = -0.834233345701464, `762` = -0.225288119873308, `763` = 1.2326248028519, `764` = -0.281764122908527, `765` = -0.568085715221524, `766` = 0.860471328956729, `767` = -2.66192804189633, `768` = 0.0601969106197502, `769` = 0.304991890080915, `770` = 2.35592805016226, `771` = -0.617449971933117, `772` = -0.996906991473719, `773` = 2.25279831414472, `774` = 0.332555213772629, `775` = -0.0343182375654322, `776` = 0.553942095735088, `777` = -0.332260043051378, `778` = -1.08865647256746, `779` = 0.809667694768049, `780` = 0.0329839118148833, `781` = -0.0935493157522529, `782` = -1.18852966422395, `783` = -0.998380780854964, `784` = 0.597827690052846, `785` = -0.939921171439336, `786` = 0.571054144382359, `787` = 1.03357365681507, `788` = 1.00228797020952, `789` = -1.31781480506039, `790` = 0.10914512607753, `791` = 0.137302528006935, `792` = 0.996301382808932, `793` = 0.484548535905109, `794` = -1.2229509318636, `795` = -0.31591843989084, `796` = 1.10557071566996, `797` = 1.00632025507384, `798` = 1.82147163570023, `799` = -1.15978776889398, `800` = -0.754735507390657), effects = c(Intercept = -73.40333659132, age = 13.6382906841201, `age'` = -2.107611276151, `age''` = -0.034533686035316, `treat=placebo` = -2.24761333894835, `sex=male` = 2.65400508021108, `age * treat=placebo` = -0.243522200233562, `age' * treat=placebo` = 2.26243430584071, `age'' * treat=placebo` = 1.0721171414083, `age * sex=male` = 1.44104881889796, `age' * sex=male` = 3.84672118267309, `age'' * sex=male` = 0.428113012081798, `treat=placebo * sex=male` = 3.64434918334448, `age * treat=placebo * sex=male` = 1.82702857346944, `age' * treat=placebo * sex=male` = -2.0416754656213, `age'' * treat=placebo * sex=male` = -0.865456381743029, -0.572850974887237, -1.17018600460594, -0.0963618583398188, 1.40955786337855, 0.0459542010786245, 0.054162644913335, -0.716313781853562, -0.662075456970051, -0.287362257763061, -1.62608406617552, 1.28980384042999, -0.0456820693279919, -1.94036918237309, -0.135916515161014, -0.23955569337864, -1.44408160083464, 1.96640645780827, -1.11087569668948, -1.23195598718316, 0.46338388259601, 0.352396975809895, -0.35304969650697, 0.116559024379499, -0.98470620043081, 1.41858956516318, 0.721265766857826, -1.1339386640339, 0.655480194364529, 0.847366265130963, -0.630687887144773, 0.657047719449646, -1.14664480797666, 1.7638336644967, 0.626296229567147, -0.195506654238485, -0.646252657427098, -0.139697843963573, -0.590290197636792, 0.0778434741039944, 0.669110607661971, -0.427663691616754, -0.899358002588566, -1.76800081230197, 0.579232779335802, 0.493796992546083, -0.0271421617831837, -0.484607750376689, 0.267949506055039, -1.20379240580015, -1.24401829194072, -1.53310664801457, -0.718940125760921, 0.638532609533419, 0.685208828541294, -0.311266263368033, 1.24347378677893, -1.12420676301885, -0.448458805165953, -0.675397326252763, 0.273018630441841, -1.64138312863665, 1.35818388732829, 1.03442825450482, 0.938960023424087, 0.00373005418637162, 0.9961626316138, 0.376732229144643, 0.811446613350443, 0.222289088923426, 0.430731167570466, -2.20015588254468, -0.435344252558877, 1.09983354616501, 0.105034257705275, -1.23214852290654, -0.958961370821248, -0.673648925584276, 1.95346019103648, 0.00593114871831279, -0.622755754872117, -1.98927501769708, -1.68969738232221, 1.64017013679322, -1.01388454826697, 1.32929870110876, -0.477714946516354, -2.32338177859855, 2.12407241889225, -0.895845019708879, -0.425595709895197, 0.218962050366787, -0.127460273135104, -1.34130173019619, -1.63733646365065, 1.26014407044007, -0.739092790829002, 1.08124266813936, 1.66524436361464, -0.525200332594081, -0.629308531038169, -2.05956382158515, 1.75792829515329, -0.883690325425071, 0.0504542319645168, -1.19068856264395, 1.06937548571033, 1.45181621995161, 0.299403153165381, -0.578097958427776, -1.56815079106531, 1.38991756050067, 0.659786641431123, -0.141445929056025, 1.37153294716425, 1.17874690333005, -0.566539398435019, -1.26430637087197, 1.54873284881512, 0.568424907570846, 0.0536320312414061, 3.02678070850782, -2.51625883294248, -0.0467236280202693, 1.01099842079662, 1.49043466931921, 0.82313712661326, 0.313411320850356, 0.780566077689021, 0.42965757898183, 0.128040070019345, -0.868879254373763, 1.81772477128329, -0.362618741109525, -0.471052208341644, 0.251709691538199, -0.0166655284892506, -2.13266939400036, -0.576923620740367, 0.530611766512081, 1.195102962025, -1.34150935786286, -0.596746065942844, -2.39303655768923, 0.880352261816334, 0.0917559833518959, 0.809727135994157, -0.729970576769514, 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0.124747665997748, 1.04987196933542, 0.70788247551476, -0.17613117040106, -1.20909614430547, -0.0292857209734235, 1.4636307094423, -0.987921517155655, -0.842260630085467, 1.09002136392792, 0.868898450937378, -0.394103499413947, -0.248122683411008, 0.172610190116425, 1.00260268314649, -0.0965247693659452, 0.0989299119993181, 1.74768702086668, 0.692728306838585, 1.23613555584604, 1.77285557041551, -0.23881130558668, -0.0805116029057873, 0.0416988020249218, 0.297933995176449, -0.250606422971945, 0.0894804712305895, -0.804762369104944, 0.333821512822324, -0.813295524510226, -0.298233156512461, 1.31778189647637, -0.21986145577956, -0.611368606182007, 0.967278702989654, -2.52414943647429, -0.0755818975511696, 0.169111736495417, 2.23253748899061, -0.629846423705932, -1.35071588787323, 2.12601204119038, 0.19035376557703, -0.140560533768141, 0.509697463187835, -0.440625345768201, -1.02227471346483, 0.762363676169038, -0.0871288150611121, -0.0699811259583561, -1.30069428264778, -1.24142493103183, 0.605581162539639, -1.10422685757841, 0.451562029691737, 0.870267171739296, 1.05625793747355, -1.29748102966093, 0.0118069893978282, 0.0851986068188737, 0.987876749158515, 0.482549683212166, -1.09711426174666, -0.23910684896716, 1.03394446587643, 1.18019617564374, 1.79694306130437, -1.72790554432164, -0.776398954786844), rank = 16L,     fitted.values = c(`1` = 1.8273464762968, `2` = 2.6542796288188,     `3` = 2.91235879550687, `4` = 2.62632478687051, `5` = 2.37478067233776,     `6` = 2.57126669833247, `7` = 2.29342830409831, `8` = 2.91272324756385,     `9` = 2.7720149889747, `10` = 2.61802501930452, `11` = 2.83995582973133,     `12` = 3.15822090879926, `13` = 2.7318330139736, `14` = 0.923092063185215,     `15` = 2.35638427355456, `16` = 3.21291450377986, `17` = 2.85930487738867,     `18` = 1.85471780857574, `19` = 2.59507849617468, `20` = 2.77516156003148,     `21` = 2.37468336722965, `22` = 2.94734075955842, `23` = 2.71890305200674,     `24` = 2.56690580859943, `25` = 2.62312595210793, `26` = 2.69985921118831,     `27` = 2.46142105713551, `28` = 4.81182749551602, `29` = 1.78100545234006,     `30` = 2.51087836642562, `31` = 2.18383381057564, `32` = 3.12042045378319,     `33` = 2.962998524365, `34` = 2.17134047276968, `35` = 2.49370220032693,     `36` = 2.95708295768924, `37` = 4.12990022922827, `38` = 2.68438147115392,     `39` = 2.20205567454462, `40` = 1.89621933065192, `41` = 3.17300922223564,     `42` = 1.36495515601018, `43` = 4.9162768756297, `44` = 2.34843367978997,     `45` = 2.2828688390031, `46` = 2.47656065356765, `47` = 3.35155981290649,     `48` = 2.68466198933939, `49` = 1.72312215469336, `50` = 2.5545423995087,     `51` = 2.75451955418949, `52` = 2.82193431350933, `53` = 2.40214416391366,     `54` = 0.959203672924118, `55` = 2.43423806672798, `56` = 2.38707792981996,     `57` = 2.37029134741965, `58` = 2.24561426606161, `59` = 2.30349409111093,     `60` = 2.43894245579633, `61` = 2.82061452685481, `62` = 3.40279330285509,     `63` = 2.02110598950698, `64` = 2.43980467959036, `65` = 2.55818586752441,     `66` = 3.81749524286754, `67` = 2.55797249452663, `68` = 1.86026293864306,     `69` = 2.64852423658387, `70` = 2.39078281119623, `71` = 4.20728393693173,     `72` = 2.73321470694733, `73` = 2.13299125795756, `74` = 2.40078521835743,     `75` = 2.38732388647639, `76` = 2.48663441342883, `77` = 2.48319236767406,     `78` = 3.33474920590903, `79` = 2.72652344572814, `80` = 2.502890404923,     `81` = 2.38653230290044, `82` = 2.81510053286542, `83` = 2.48414658771294,     `84` = 2.62268592379984, `85` = 3.0651368477459, `86` = 3.15791582696985,     `87` = 2.24559620887642, `88` = 3.13179459683268, `89` = 1.97357557764259,     `90` = 2.77282308095323, `91` = 2.74016188199839, `92` = 2.45176950529484,     `93` = 3.32531928953431, `94` = 2.19751752606572, `95` = 2.72674714579747,     `96` = 2.42192340543888, `97` = 1.93076371222272, `98` = 3.62929473538996,     `99` = 1.35369434987869, `100` = 2.2547370962648, `101` = 1.94409001325824,     `102` = 2.62880112621963, `103` = 2.77137140917496, `104` = 1.95738338715501,     `105` = 2.72049174848199, `106` = 2.40243453220378, `107` = 3.09735812074682,     `108` = 2.75153859240597, `109` = 2.7634794003779, `110` = 2.05813014540498,     `111` = 2.65985862884668, `112` = 2.46522299246837, `113` = 1.5703781919029,     `114` = 2.69035917134868, `115` = 4.20861430662284, `116` = 2.37125443702692,     `117` = 2.36705613621479, `118` = 2.85308469084743, `119` = 2.5415194010717,     `120` = 3.15710460382206, `121` = 2.77865444148754, `122` = 3.2954859943684,     `123` = 2.70726046586218, `124` = 2.42473855283583, `125` = 2.75546009888392,     `126` = 1.93535012472394, `127` = 2.21956899382337, `128` = 2.48911632772296,     `129` = 2.93859012435979, `130` = 2.5501671026405, `131` = 2.86395308616895,     `132` = 2.9325665637652, `133` = 2.49741866101599, `134` = 1.15477002080841,     `135` = 2.85906509967744, `136` = 3.21480202919142, `137` = 2.64844922449584,     `138` = 1.81624171593204, `139` = 2.50256109585425, `140` = 2.06026174870399,     `141` = 2.41347967088569, `142` = 2.82647702488726, `143` = 3.28776560599656,     `144` = 2.74957705273186, `145` = 2.06055571226601, `146` = 3.23783901748259,     `147` = 3.0579009438373, `148` = 3.23597166652999, `149` = 2.21636165136686,     `150` = 2.77037519109151, `151` = 3.14335945231959, `152` = 2.39156945942855,     `153` = 2.78704915422625, `154` = 2.63941496646989, `155` = 2.58610032037074,     `156` = 2.70144690395644, `157` = 2.90426129456847, `158` = 2.88420138031662,     `159` = 2.39479076403391, `160` = 2.80509075142565, `161` = 2.37161390962301,     `162` = 2.41992065646662, `163` = 2.9052094221091, `164` = 3.22550263914549,     `165` = 1.73315464210068, `166` = 2.43142907624064, `167` = 3.87849162526757,     `168` = 1.08194647347416, `169` = 2.84365960719609, `170` = 2.31147636681322,     `171` = 2.76523847380424, `172` = 2.88117058586849, `173` = 2.04732981907891,     `174` = 2.07915665869094, `175` = 3.08110988123108, `176` = 2.04592349294163,     `177` = 2.56700092604082, `178` = 2.77907881429002, `179` = 3.17846678411757,     `180` = 2.65038681640476, `181` = 2.92913414157109, `182` = 2.63780063630832,     `183` = 2.45550173098484, `184` = 2.78684913414774, `185` = 2.60955074916775,     `186` = 2.67430224080449, `187` = 2.3114710982275, `188` = 2.41392007655519,     `189` = 2.85514775159917, `190` = 2.82657039075926, `191` = 2.27203654778748,     `192` = 2.37030879867869, `193` = 2.78189657176958, `194` = 3.01888613570589,     `195` = 2.66860452934713, `196` = 2.5229466489951, `197` = 1.96437460612657,     `198` = 2.29586715480886, `199` = 2.53040196702745, `200` = 2.17979970489295,     `201` = 2.99968367627667, `202` = 2.99303164445703, `203` = 2.09396489715103,     `204` = 2.63747526906564, `205` = 2.63430036234606, `206` = 1.62346827950003,     `207` = 2.86309558489206, `208` = 1.26999728769122, `209` = 1.72020445809491,     `210` = 2.91311906510036, `211` = 2.43319556057215, `212` = 2.39109250097856,     `213` = 1.6492458519465, `214` = 1.99197336957605, `215` = 2.55334196204763,     `216` = 2.41675268048625, `217` = 2.4118017030696, `218` = 1.82904370247393,     `219` = 1.96972936169113, `220` = 4.48347814044753, `221` = 2.43357782876622,     `222` = 2.88429652654287, `223` = 3.21160807310651, `224` = 2.85022603796191,     `225` = 2.52882699909125, `226` = 2.0957307798493, `227` = 1.87895581468756,     `228` = 3.18065900342439, `229` = 2.47307935938645, `230` = 2.78536931497109,     `231` = 2.19076727042225, `232` = 2.41128760676261, `233` = 2.37131981545313,     `234` = 2.55303760371157, `235` = 2.9199693414722, `236` = 2.60397022793523,     `237` = 2.35726095482352, `238` = 2.87899977284871, `239` = 3.13468726875723,     `240` = 2.58696063484866, `241` = 2.93480037321797, `242` = 2.52196476517132,     `243` = 2.23386570374798, `244` = 1.93400574589039, `245` = 4.36159183616138,     `246` = 3.30181888171832, `247` = 2.87275271626973, `248` = 2.68680493967785,     `249` = 2.9472147026804, `250` = 2.67701679026062, `251` = 2.43874412812383,     `252` = 2.69832522750769, `253` = 2.39815127697227, `254` = 3.27416880961077,     `255` = 2.89420394072003, `256` = 2.46206595690653, `257` = 3.02161363337767,     `258` = 2.37253590878611, `259` = 3.14803716395551, `260` = 2.30477591805902,     `261` = 1.20593814723825, `262` = 3.06200642364828, `263` = 2.99889777179038,     `264` = 2.14282555354455, `265` = 2.01335804244271, `266` = 1.32272589615639,     `267` = 2.45487059993715, `268` = 1.51492463330488, `269` = 2.31193380003934,     `270` = 2.69797296272068, `271` = 3.27746164011552, `272` = 2.37320371671454,     `273` = 2.44765266363073, `274` = 2.76426830101752, `275` = 3.14991474578698,     `276` = 1.91281943159906, `277` = 1.47871083226282, `278` = 2.66139783025367,     `279` = 3.0068312744844, `280` = 2.40803144249423, `281` = 3.19967771868625,     `282` = 2.38442996368075, `283` = 2.74742751208274, `284` = 2.74151591243007,     `285` = 2.53430303102901, `286` = 2.13304771295534, `287` = 3.03502047926305,     `288` = 2.40927804101479, `289` = 2.84449715484632, `290` = 2.69872269248432,     `291` = 4.2167466822975, `292` = 2.86134949044519, `293` = 2.3240990316239,     `294` = 2.58529458327362, `295` = 2.589177826791, `296` = 1.65132282111858,     `297` = 4.12860304687622, `298` = 2.9788838201833, `299` = 2.03941888516452,     `300` = 2.74426480590544, `301` = 2.70375821808304, `302` = 2.42445684795484,     `303` = 3.91189357427476, `304` = 2.46328928597437, `305` = 2.71213347425702,     `306` = 2.75078140564015, `307` = 2.39519608769782, `308` = 1.97652601737173,     `309` = 2.49237836450657, `310` = 3.02437447193905, `311` = 2.63718302354101,     `312` = 2.85937900798305, `313` = 2.54616629469414, `314` = 2.7903511279751,     `315` = 1.61496522808629, `316` = 2.84844468900093, `317` = 2.37133176406135,     `318` = 2.2342212333381, `319` = 2.39493857884649, `320` = 1.88745641232398,     `321` = 2.39649029076404, `322` = 2.25072436441753, `323` = 2.36943155133288,     `324` = 2.42743673231805, `325` = 2.97791930992207, `326` = 2.09234168848051,     `327` = 2.36240634177489, `328` = 1.1105791288804, `329` = 2.37013324391512,     `330` = 2.26471337954389, `331` = 3.05444517174529, `332` = 2.38980742161709,     `333` = 2.37786232477323, `334` = 1.78990970602347, `335` = 2.70944370588652,     `336` = 3.5683141888971, `337` = 2.44134246962534, `338` = 2.25972174620225,     `339` = 3.00918859646008, `340` = 2.18586223684944, `341` = 2.74330408539129,     `342` = 2.86867416819939, `343` = 2.06826131293291, `344` = 3.63151763911666,     `345` = 2.85886713213127, `346` = 2.21985116812454, `347` = 2.3815434508579,     `348` = 2.41350923720854, `349` = 2.89843556037318, `350` = 2.23898268719741,     `351` = 1.29584077798455, `352` = 2.51159663534582, `353` = 2.85257238541717,     `354` = 1.77903202336168, `355` = 2.55028022270778, `356` = 2.44782824590644,     `357` = 2.46271608796213, `358` = 2.51685373998414, `359` = 2.41583566834669,     `360` = 2.3728907565472, `361` = 2.369454773508, `362` = 3.29250303236263,     `363` = 2.66285306254625, `364` = 2.49029698546202, `365` = 1.05306070502084,     `366` = 1.86455368138798, `367` = 2.88031132181863, `368` = 2.30036007798452,     `369` = 2.11837578996616, `370` = 2.40083223927156, `371` = 2.29153752579909,     `372` = 2.44953094562367, `373` = 2.62721713144288, `374` = 3.9441196218975,     `375` = 2.9557674025679, `376` = 3.66113529407979, `377` = 2.32038023868864,     `378` = 2.87211440331623, `379` = 2.39293831188164, `380` = 2.51344798573844,     `381` = 4.63994090353258, `382` = 2.42205148785717, `383` = 2.33462597983624,     `384` = 2.23050814284012, `385` = 2.88331664462298, `386` = 4.55690943309283,     `387` = 2.58261047793064, `388` = 2.54193081869031, `389` = 4.52295683194619,     `390` = 2.14060027084606, `391` = 2.99869748680244, `392` = 2.26250701192594,     `393` = 2.01249031809818, `394` = 2.97085385284773, `395` = 2.64468402413129,     `396` = 2.33395576477012, `397` = 2.63502066231726, `398` = 2.24915693049968,     `399` = 2.58574738517705, `400` = 2.3716272899945, `401` = 1.69024305202187,     `402` = 3.19926868492288, `403` = 1.77606477443688, `404` = 1.64318193529478,     `405` = 2.83237040517646, `406` = 2.88901243357697, `407` = 2.40363001910485,     `408` = 2.56124257441973, `409` = 3.15661085878286, `410` = 3.01754450476663,     `411` = 1.66908846281502, `412` = 3.04638461915898, `413` = 2.4902496498083,     `414` = 2.32355269847258, `415` = 3.20708965017669, `416` = 2.94047492110776,     `417` = 3.039308895143, `418` = 2.4463121970276, `419` = 2.85372829272876,     `420` = 2.52921117908114, `421` = 2.20126381165548, `422` = 3.67012958834098,     `423` = 2.67998235983964, `424` = 2.48875766442306, `425` = 2.98395742646305,     `426` = 2.86885943428284, `427` = 2.36948098545145, `428` = 2.41007394201668,     `429` = 3.32665939652036, `430` = 2.60667304612803, `431` = 2.3375066389785,     `432` = 3.1650659263681, `433` = 2.87830655726086, `434` = 2.24977346407656,     `435` = 2.41284105666922, `436` = 2.87304300931647, `437` = 2.46339398769293,     `438` = 2.94459097140992, `439` = 2.44625020909451, `440` = 1.88518695389097,     `441` = 2.63410511427251, `442` = 3.31221841531284, `443` = 1.75003520014887,     `444` = 2.03294189166507, `445` = 1.66007689915753, `446` = 2.29814525739876,     `447` = 3.06648380940822, `448` = 2.57970479276396, `449` = 2.36683669531664,     `450` = 2.4670869173179, `451` = 2.44602851362862, `452` = 3.45053339543596,     `453` = 3.28071687825047, `454` = 3.04908277183995, `455` = 2.37763546512344,     `456` = 2.26398601372506, `457` = 2.692748575164, `458` = 2.62690602442052,     `459` = 2.71352920569489, `460` = 2.47429183434904, `461` = 2.4039247810575,     `462` = 1.93412621996201, `463` = 2.38480340226842, `464` = 2.07063510996225,     `465` = 2.40690117392684, `466` = 2.42420000654002, `467` = 2.81475506919669,     `468` = 2.20640905191678, `469` = 2.37632831310256, `470` = 3.53490867501887,     `471` = 3.41002468731006, `472` = 2.75092976639121, `473` = 3.09480651714885,     `474` = 1.90007305083701, `475` = 3.2296327868531, `476` = 3.02534506485739,     `477` = 2.53398829371899, `478` = 2.82791722535193, `479` = 2.55583773830625,     `480` = 2.59402715530063, `481` = 1.6781326990062, `482` = 2.87293840540908,     `483` = 4.03969129126323, `484` = 3.19450816106775, `485` = 2.68239952858409,     `486` = 2.39405541049845, `487` = 2.71100128720999, `488` = 3.00282156550285,     `489` = 3.40302266876215, `490` = 2.88352616157181, `491` = 3.52856064048011,     `492` = 2.62144967861979, `493` = 2.77538989742825, `494` = 3.59999333050544,     `495` = 6.16348972719813, `496` = 2.4891599433751, `497` = 2.37034460924193,     `498` = 2.59980779332976, `499` = 2.30071384805534, `500` = 3.07614227765401,     `501` = 2.73259013984369, `502` = 3.25338285299229, `503` = 2.04661688530079,     `504` = 2.119780819561, `505` = 3.11313609957979, `506` = 2.6988744349033,     `507` = 2.38395417253592, `508` = 2.18648950581266, `509` = 2.42837885798354,     `510` = 2.68221147267643, `511` = 2.25428068095068, `512` = 3.75887229099597,     `513` = 2.65473882617471, `514` = 2.69017623822354, `515` = 2.62515548587877,     `516` = 2.34064129442189, `517` = 2.37656062416954, `518` = 3.11073225841166,     `519` = 1.65824952962201, `520` = 3.05076882119208, `521` = 2.50896463090888,     `522` = 2.77691889731644, `523` = 2.48655516799708, `524` = 2.4847705304522,     `525` = 2.83484261483298, `526` = 2.39148791182408, `527` = 3.08293761712995,     `528` = 2.11610089991802, `529` = 1.5441706288409, `530` = 2.29338823560684,     `531` = 2.2357005930668, `532` = 2.00046452981165, `533` = 2.46775766392926,     `534` = 2.37518687841549, `535` = 2.26924539949773, `536` = 2.69708958988384,     `537` = 1.7759969284976, `538` = 2.87932697846107, `539` = 2.51924964421704,     `540` = 2.41448920694114, `541` = 2.73088979297616, `542` = 2.33592937775142,     `543` = 2.42699526496006, `544` = 3.26971833241992, `545` = 3.80927075812981,     `546` = 3.64604939844582, `547` = 1.96050051349709, `548` = 2.37166914445101,     `549` = 2.60110158015077, `550` = 2.19353040701009, `551` = 1.66039378190514,     `552` = 2.81717036355495, `553` = 2.63349707431426, `554` = 2.69710127484472,     `555` = 1.90798875869868, `556` = 2.31371567893383, `557` = 1.77090083956038,     `558` = 2.37391574467976, `559` = 2.50262689711419, `560` = 2.31168914410283,     `561` = 2.22625805533233, `562` = 1.68021749593895, `563` = 2.51377897825149,     `564` = 2.09808172086947, `565` = 3.09578583530429, `566` = 2.19900715901313,     `567` = 1.80979414421884, `568` = 1.78503396884665, `569` = 2.50774132675897,     `570` = 2.49239230729125, `571` = 2.76211802056802, `572` = 2.4495274017885,     `573` = 3.28892969636115, `574` = 3.15211213487484, `575` = 2.92840573999153,     `576` = 2.7042293900111, `577` = 2.94371744049618, `578` = 2.47580774375233,     `579` = 2.92455079876968, `580` = 2.57811464680771, `581` = 2.09501725666443,     `582` = 2.11233201384487, `583` = 2.17435383560045, `584` = 2.36979159264026,     `585` = 2.67342838683219, `586` = 2.56022536590253, `587` = 2.37232436135092,     `588` = 2.27233056465191, `589` = 3.0468428457455, `590` = 2.55069457032584,     `591` = 2.09756322003269, `592` = 2.40306812582161, `593` = 2.45500210452847,     `594` = 2.86907537820904, `595` = 2.60261574773351, `596` = 2.46107520830906,     `597` = 1.85902245529062, `598` = 2.89225570374173, `599` = 2.65436849639519,     `600` = 2.87087714348427, `601` = 3.46886542980082, `602` = 2.68512701414622,     `603` = 2.35003691394945, `604` = 2.14627270516146, `605` = 2.23384069990504,     `606` = 2.26441295743203, `607` = 2.85303023058625, `608` = 2.52519561937849,     `609` = 1.57105260574496, `610` = 2.37037349981258, `611` = 3.04865674785886,     `612` = 2.66980960831409, `613` = 2.26749788061542, `614` = 2.82468867713131,     `615` = 2.3195107615215, `616` = 2.45284107326388, `617` = 2.56240566991253,     `618` = 3.5032340625682, `619` = 2.99012848419003, `620` = 3.69815882893603,     `621` = 2.90806077391049, `622` = 2.69781322229088, `623` = 3.14076048190506,     `624` = 4.49059794128407, `625` = 3.74525948670074, `626` = 2.36112028298741,     `627` = 2.40385272685886, `628` = 2.6893053745018, `629` = 2.3797231366545,     `630` = 2.71343039320212, `631` = 2.24472670443739, `632` = 2.93449351293732,     `633` = 4.64415079258173, `634` = 2.94929885043176, `635` = 2.8726564625836,     `636` = 2.61383490293316, `637` = 3.26153429983134, `638` = 2.47400494380402,     `639` = 3.01176455064242, `640` = 3.49592172694681, `641` = 2.67957734578401,     `642` = 3.17453140868152, `643` = 2.32665270498733, `644` = 2.7575036297423,     `645` = 2.0689328843544, `646` = 2.46785376746714, `647` = 3.32570305967851,     `648` = 0.905248324266446, `649` = 2.50428948117561, `650` = 2.53912900337754,     `651` = 2.3826549275648, `652` = 2.44542191253417, `653` = 2.62469142433065,     `654` = 2.65637163809148, `655` = 2.66860851254179, `656` = 2.38249985819357,     `657` = 2.66226570688936, `658` = 3.3192449193186, `659` = 2.73111344992993,     `660` = 3.04282974391802, `661` = 2.45256085675311, `662` = 2.67768607034304,     `663` = 2.77783018778015, `664` = 2.1579712498587, `665` = 2.37298409942318,     `666` = 3.77862150624116, `667` = 2.11634477584323, `668` = 2.94397684292152,     `669` = 2.36024450269283, `670` = 1.96870553397572, `671` = 1.70461446504352,     `672` = 2.11940451882738, `673` = 1.7263870453371, `674` = 2.08704111428627,     `675` = 2.95687309973058, `676` = 2.37665447487459, `677` = 3.15422627810539,     `678` = 2.49702523812035, `679` = 1.92644836113277, `680` = 2.34875871370472,     `681` = 2.22844659869117, `682` = 2.28679608898358, `683` = 2.62823063420633,     `684` = 2.45143195137904, `685` = 2.8489110203038, `686` = 2.65175935979436,     `687` = 2.88524094060349, `688` = 2.5952722765178, `689` = 2.37231532291548,     `690` = 2.76339467172705, `691` = 2.8873289565435, `692` = 2.30150257336182,     `693` = 2.49468059867389, `694` = 2.9386886921381, `695` = 3.75746997650522,     `696` = 2.66568016818031, `697` = 2.4930667288634, `698` = 3.13380307686093,     `699` = 2.10019517768552, `700` = 2.38255703596884, `701` = 2.86056652465783,     `702` = 2.25938206522155, `703` = 2.89379813499127, `704` = 2.25180330762531,     `705` = 2.65134453007541, `706` = 2.49261895369649, `707` = 2.92482004635633,     `708` = 2.99960795197273, `709` = 2.39534315168548, `710` = 2.80968394898164,     `711` = 1.5365706856904, `712` = 2.36240206475222, `713` = 1.74480446929666,     `714` = 2.69272631893605, `715` = 2.51260627559957, `716` = 2.46876974298805,     `717` = 2.40833157695587, `718` = 3.3687784443709, `719` = 2.5060766692575,     `720` = 3.76322910561409, `721` = 2.68274467180769, `722` = 2.73776984498368,     `723` = 3.20084163854064, `724` = 2.15532930018422, `725` = 2.37168049406483,     `726` = 2.49101118391487, `727` = 2.64893383948362, `728` = 2.55000347491773,     `729` = 2.23662652396895, `730` = 3.20003639165197, `731` = 2.66800696736024,     `732` = 3.05525636675038, `733` = 1.18148846416636, `734` = 3.54271987460358,     `735` = 2.99515813678729, `736` = 2.39151522397183, `737` = 2.38585928232041,     `738` = 3.08656767068624, `739` = 2.61626780552435, `740` = 2.97115704778034,     `741` = 3.03439656895824, `742` = 2.37931601007593, `743` = 2.33883331819551,     `744` = 1.60348696140688, `745` = 1.11688145045703, `746` = 2.57736600422859,     `747` = 2.66802533594202, `748` = 2.26404981534278, `749` = 3.07219106215321,     `750` = 2.77050828138718, `751` = 2.428794530875, `752` = 2.44110931378247,     `753` = 2.99082624009212, `754` = 2.80966642752265, `755` = 2.89406725105139,     `756` = 2.77030884986535, `757` = 4.15811193019416, `758` = 2.57886699953155,     `759` = 2.2280269081183, `760` = 2.23759767417144, `761` = 2.5058665552149,     `762` = 2.35823648366692, `763` = 2.57415384248165, `764` = 3.10240981596749,     `765` = 2.37066373006279, `766` = 1.26531154683944, `767` = 3.17649132143359,     `768` = 2.75939408955155, `769` = 2.92685172692651, `770` = 2.3324407578609,     `771` = 2.65018850565418, `772` = 1.61809174258647, `773` = 2.71163104961438,     `774` = 2.7686205447316, `775` = 2.07510786293649, `776` = 2.19346015793001,     `777` = 3.05666417694624, `778` = 2.61234105858666, `779` = 2.46128612603711,     `780` = 2.74057681523593, `781` = 1.82127812685098, `782` = 2.95877261683777,     `783` = 1.74839601569804, `784` = 1.88235766204648, `785` = 2.82663471616036,     `786` = 3.00464332237119, `787` = 1.84219985532157, `788` = 3.04630071488416,     `789` = 2.83071631673509, `790` = 2.50017115705951, `791` = 2.37261285446862,     `792` = 1.98067493063167, `793` = 2.47455687271204, `794` = 3.62089358349168,     `795` = 1.73327011655719, `796` = 1.99643069057204, `797` = 4.06628378549785,     `798` = 1.90545718313818, `799` = 1.36597756677296, `800` = 2.60145375327965    ), assign = list(`rcs(age, 4)` = 2:4, treat = 5L, sex = 6L,         `rcs(age, 4):treat` = 7:9, `rcs(age, 4):sex` = 10:12,         `treat:sex` = 13L, `rcs(age, 4):treat:sex` = 14:16),     qr = structure(list(qr = structure(c(-28.2842712474619, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 0.0353553390593274,     0.0353553390593274, 0.0353553390593274, 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-0.0117757979020482, 0.043988538139749, -0.193194518446538,     -0.0138385171219278, 0.0489004666962014, -0.210101009164533,     -0.941267592738115, 0.0265004210700546, -0.0972117419383224,     0.42226391498444), dim = c(16L, 16L), dimnames = list(c("Intercept",     "age", "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"), c("Intercept", "age",     "age'", "age''", "treat=placebo", "sex=male", "age * treat=placebo",     "age' * treat=placebo", "age'' * treat=placebo", "age * sex=male",     "age' * sex=male", "age'' * sex=male", "treat=placebo * sex=male",     "age * treat=placebo * sex=male", "age' * treat=placebo * sex=male",     "age'' * treat=placebo * sex=male"))), stats = c(n = 800,     `Model L.R.` = 198.733217877431, d.f. = 15, R2 = 0.219965026393617,     g = 0.585082032793052, Sigma = 1.05797963607968), linear.predictors = c(`1` = 1.8273464762968,     `2` = 2.6542796288188, `3` = 2.91235879550687, `4` = 2.62632478687051,     `5` = 2.37478067233776, `6` = 2.57126669833247, `7` = 2.29342830409831,     `8` = 2.91272324756385, `9` = 2.7720149889747, `10` = 2.61802501930452,     `11` = 2.83995582973133, `12` = 3.15822090879926, `13` = 2.7318330139736,     `14` = 0.923092063185215, `15` = 2.35638427355456, `16` = 3.21291450377986,     `17` = 2.85930487738867, `18` = 1.85471780857574, `19` = 2.59507849617468,     `20` = 2.77516156003148, `21` = 2.37468336722965, `22` = 2.94734075955842,     `23` = 2.71890305200674, `24` = 2.56690580859943, `25` = 2.62312595210793,     `26` = 2.69985921118831, `27` = 2.46142105713551, `28` = 4.81182749551602,     `29` = 1.78100545234006, `30` = 2.51087836642562, `31` = 2.18383381057564,     `32` = 3.12042045378319, `33` = 2.962998524365, `34` = 2.17134047276968,     `35` = 2.49370220032693, `36` = 2.95708295768924, `37` = 4.12990022922827,     `38` = 2.68438147115392, `39` = 2.20205567454462, `40` = 1.89621933065192,     `41` = 3.17300922223564, `42` = 1.36495515601018, `43` = 4.9162768756297,     `44` = 2.34843367978997, `45` = 2.2828688390031, `46` = 2.47656065356765,     `47` = 3.35155981290649, `48` = 2.68466198933939, `49` = 1.72312215469336,     `50` = 2.5545423995087, `51` = 2.75451955418949, `52` = 2.82193431350933,     `53` = 2.40214416391366, `54` = 0.959203672924118, `55` = 2.43423806672798,     `56` = 2.38707792981996, `57` = 2.37029134741965, `58` = 2.24561426606161,     `59` = 2.30349409111093, `60` = 2.43894245579633, `61` = 2.82061452685481,     `62` = 3.40279330285509, `63` = 2.02110598950698, `64` = 2.43980467959036,     `65` = 2.55818586752441, `66` = 3.81749524286754, `67` = 2.55797249452663,     `68` = 1.86026293864306, `69` = 2.64852423658387, `70` = 2.39078281119623,     `71` = 4.20728393693173, `72` = 2.73321470694733, `73` = 2.13299125795756,     `74` = 2.40078521835743, `75` = 2.38732388647639, `76` = 2.48663441342883,     `77` = 2.48319236767406, `78` = 3.33474920590903, `79` = 2.72652344572814,     `80` = 2.502890404923, `81` = 2.38653230290044, `82` = 2.81510053286542,     `83` = 2.48414658771294, `84` = 2.62268592379984, `85` = 3.0651368477459,     `86` = 3.15791582696985, `87` = 2.24559620887642, `88` = 3.13179459683268,     `89` = 1.97357557764259, `90` = 2.77282308095323, `91` = 2.74016188199839,     `92` = 2.45176950529484, `93` = 3.32531928953431, `94` = 2.19751752606572,     `95` = 2.72674714579747, `96` = 2.42192340543888, `97` = 1.93076371222272,     `98` = 3.62929473538996, `99` = 1.35369434987869, `100` = 2.2547370962648,     `101` = 1.94409001325824, `102` = 2.62880112621963, `103` = 2.77137140917496,     `104` = 1.95738338715501, `105` = 2.72049174848199, `106` = 2.40243453220378,     `107` = 3.09735812074682, `108` = 2.75153859240597, `109` = 2.7634794003779,     `110` = 2.05813014540498, `111` = 2.65985862884668, `112` = 2.46522299246837,     `113` = 1.5703781919029, `114` = 2.69035917134868, `115` = 4.20861430662284,     `116` = 2.37125443702692, `117` = 2.36705613621479, `118` = 2.85308469084743,     `119` = 2.5415194010717, `120` = 3.15710460382206, `121` = 2.77865444148754,     `122` = 3.2954859943684, `123` = 2.70726046586218, `124` = 2.42473855283583,     `125` = 2.75546009888392, `126` = 1.93535012472394, `127` = 2.21956899382337,     `128` = 2.48911632772296, `129` = 2.93859012435979, `130` = 2.5501671026405,     `131` = 2.86395308616895, `132` = 2.9325665637652, `133` = 2.49741866101599,     `134` = 1.15477002080841, `135` = 2.85906509967744, `136` = 3.21480202919142,     `137` = 2.64844922449584, `138` = 1.81624171593204, `139` = 2.50256109585425,     `140` = 2.06026174870399, `141` = 2.41347967088569, `142` = 2.82647702488726,     `143` = 3.28776560599656, `144` = 2.74957705273186, `145` = 2.06055571226601,     `146` = 3.23783901748259, `147` = 3.0579009438373, `148` = 3.23597166652999,     `149` = 2.21636165136686, `150` = 2.77037519109151, `151` = 3.14335945231959,     `152` = 2.39156945942855, `153` = 2.78704915422625, `154` = 2.63941496646989,     `155` = 2.58610032037074, `156` = 2.70144690395644, `157` = 2.90426129456847,     `158` = 2.88420138031662, `159` = 2.39479076403391, `160` = 2.80509075142565,     `161` = 2.37161390962301, `162` = 2.41992065646662, `163` = 2.9052094221091,     `164` = 3.22550263914549, `165` = 1.73315464210068, `166` = 2.43142907624064,     `167` = 3.87849162526757, `168` = 1.08194647347416, `169` = 2.84365960719609,     `170` = 2.31147636681322, `171` = 2.76523847380424, `172` = 2.88117058586849,     `173` = 2.04732981907891, `174` = 2.07915665869094, `175` = 3.08110988123108,     `176` = 2.04592349294163, `177` = 2.56700092604082, `178` = 2.77907881429002,     `179` = 3.17846678411757, `180` = 2.65038681640476, `181` = 2.92913414157109,     `182` = 2.63780063630832, `183` = 2.45550173098484, `184` = 2.78684913414774,     `185` = 2.60955074916775, `186` = 2.67430224080449, `187` = 2.3114710982275,     `188` = 2.41392007655519, `189` = 2.85514775159917, `190` = 2.82657039075926,     `191` = 2.27203654778748, `192` = 2.37030879867869, `193` = 2.78189657176958,     `194` = 3.01888613570589, `195` = 2.66860452934713, `196` = 2.5229466489951,     `197` = 1.96437460612657, `198` = 2.29586715480886, `199` = 2.53040196702745,     `200` = 2.17979970489295, `201` = 2.99968367627667, `202` = 2.99303164445703,     `203` = 2.09396489715103, `204` = 2.63747526906564, `205` = 2.63430036234606,     `206` = 1.62346827950003, `207` = 2.86309558489206, `208` = 1.26999728769122,     `209` = 1.72020445809491, `210` = 2.91311906510036, `211` = 2.43319556057215,     `212` = 2.39109250097856, `213` = 1.6492458519465, `214` = 1.99197336957605,     `215` = 2.55334196204763, `216` = 2.41675268048625, `217` = 2.4118017030696,     `218` = 1.82904370247393, `219` = 1.96972936169113, `220` = 4.48347814044753,     `221` = 2.43357782876622, `222` = 2.88429652654287, `223` = 3.21160807310651,     `224` = 2.85022603796191, `225` = 2.52882699909125, `226` = 2.0957307798493,     `227` = 1.87895581468756, `228` = 3.18065900342439, `229` = 2.47307935938645,     `230` = 2.78536931497109, `231` = 2.19076727042225, `232` = 2.41128760676261,     `233` = 2.37131981545313, `234` = 2.55303760371157, `235` = 2.9199693414722,     `236` = 2.60397022793523, `237` = 2.35726095482352, `238` = 2.87899977284871,     `239` = 3.13468726875723, `240` = 2.58696063484866, `241` = 2.93480037321797,     `242` = 2.52196476517132, `243` = 2.23386570374798, `244` = 1.93400574589039,     `245` = 4.36159183616138, `246` = 3.30181888171832, `247` = 2.87275271626973,     `248` = 2.68680493967785, `249` = 2.9472147026804, `250` = 2.67701679026062,     `251` = 2.43874412812383, `252` = 2.69832522750769, `253` = 2.39815127697227,     `254` = 3.27416880961077, `255` = 2.89420394072003, `256` = 2.46206595690653,     `257` = 3.02161363337767, `258` = 2.37253590878611, `259` = 3.14803716395551,     `260` = 2.30477591805902, `261` = 1.20593814723825, `262` = 3.06200642364828,     `263` = 2.99889777179038, `264` = 2.14282555354455, `265` = 2.01335804244271,     `266` = 1.32272589615639, `267` = 2.45487059993715, `268` = 1.51492463330488,     `269` = 2.31193380003934, `270` = 2.69797296272068, `271` = 3.27746164011552,     `272` = 2.37320371671454, `273` = 2.44765266363073, `274` = 2.76426830101752,     `275` = 3.14991474578698, `276` = 1.91281943159906, `277` = 1.47871083226282,     `278` = 2.66139783025367, `279` = 3.0068312744844, `280` = 2.40803144249423,     `281` = 3.19967771868625, `282` = 2.38442996368075, `283` = 2.74742751208274,     `284` = 2.74151591243007, `285` = 2.53430303102901, `286` = 2.13304771295534,     `287` = 3.03502047926305, `288` = 2.40927804101479, `289` = 2.84449715484632,     `290` = 2.69872269248432, `291` = 4.2167466822975, `292` = 2.86134949044519,     `293` = 2.3240990316239, `294` = 2.58529458327362, `295` = 2.589177826791,     `296` = 1.65132282111858, `297` = 4.12860304687622, `298` = 2.9788838201833,     `299` = 2.03941888516452, `300` = 2.74426480590544, `301` = 2.70375821808304,     `302` = 2.42445684795484, `303` = 3.91189357427476, `304` = 2.46328928597437,     `305` = 2.71213347425702, `306` = 2.75078140564015, `307` = 2.39519608769782,     `308` = 1.97652601737173, `309` = 2.49237836450657, `310` = 3.02437447193905,     `311` = 2.63718302354101, `312` = 2.85937900798305, `313` = 2.54616629469414,     `314` = 2.7903511279751, `315` = 1.61496522808629, `316` = 2.84844468900093,     `317` = 2.37133176406135, `318` = 2.2342212333381, `319` = 2.39493857884649,     `320` = 1.88745641232398, `321` = 2.39649029076404, `322` = 2.25072436441753,     `323` = 2.36943155133288, `324` = 2.42743673231805, `325` = 2.97791930992207,     `326` = 2.09234168848051, `327` = 2.36240634177489, `328` = 1.1105791288804,     `329` = 2.37013324391512, `330` = 2.26471337954389, `331` = 3.05444517174529,     `332` = 2.38980742161709, `333` = 2.37786232477323, `334` = 1.78990970602347,     `335` = 2.70944370588652, `336` = 3.5683141888971, `337` = 2.44134246962534,     `338` = 2.25972174620225, `339` = 3.00918859646008, `340` = 2.18586223684944,     `341` = 2.74330408539129, `342` = 2.86867416819939, `343` = 2.06826131293291,     `344` = 3.63151763911666, `345` = 2.85886713213127, `346` = 2.21985116812454,     `347` = 2.3815434508579, `348` = 2.41350923720854, `349` = 2.89843556037318,     `350` = 2.23898268719741, `351` = 1.29584077798455, `352` = 2.51159663534582,     `353` = 2.85257238541717, `354` = 1.77903202336168, `355` = 2.55028022270778,     `356` = 2.44782824590644, `357` = 2.46271608796213, `358` = 2.51685373998414,     `359` = 2.41583566834669, `360` = 2.3728907565472, `361` = 2.369454773508,     `362` = 3.29250303236263, `363` = 2.66285306254625, `364` = 2.49029698546202,     `365` = 1.05306070502084, `366` = 1.86455368138798, `367` = 2.88031132181863,     `368` = 2.30036007798452, `369` = 2.11837578996616, `370` = 2.40083223927156,     `371` = 2.29153752579909, `372` = 2.44953094562367, `373` = 2.62721713144288,     `374` = 3.9441196218975, `375` = 2.9557674025679, `376` = 3.66113529407979,     `377` = 2.32038023868864, `378` = 2.87211440331623, `379` = 2.39293831188164,     `380` = 2.51344798573844, `381` = 4.63994090353258, `382` = 2.42205148785717,     `383` = 2.33462597983624, `384` = 2.23050814284012, `385` = 2.88331664462298,     `386` = 4.55690943309283, `387` = 2.58261047793064, `388` = 2.54193081869031,     `389` = 4.52295683194619, `390` = 2.14060027084606, `391` = 2.99869748680244,     `392` = 2.26250701192594, `393` = 2.01249031809818, `394` = 2.97085385284773,     `395` = 2.64468402413129, `396` = 2.33395576477012, `397` = 2.63502066231726,     `398` = 2.24915693049968, `399` = 2.58574738517705, `400` = 2.3716272899945,     `401` = 1.69024305202187, `402` = 3.19926868492288, `403` = 1.77606477443688,     `404` = 1.64318193529478, `405` = 2.83237040517646, `406` = 2.88901243357697,     `407` = 2.40363001910485, `408` = 2.56124257441973, `409` = 3.15661085878286,     `410` = 3.01754450476663, `411` = 1.66908846281502, `412` = 3.04638461915898,     `413` = 2.4902496498083, `414` = 2.32355269847258, `415` = 3.20708965017669,     `416` = 2.94047492110776, `417` = 3.039308895143, `418` = 2.4463121970276,     `419` = 2.85372829272876, `420` = 2.52921117908114, `421` = 2.20126381165548,     `422` = 3.67012958834098, `423` = 2.67998235983964, `424` = 2.48875766442306,     `425` = 2.98395742646305, `426` = 2.86885943428284, `427` = 2.36948098545145,     `428` = 2.41007394201668, `429` = 3.32665939652036, `430` = 2.60667304612803,     `431` = 2.3375066389785, `432` = 3.1650659263681, `433` = 2.87830655726086,     `434` = 2.24977346407656, `435` = 2.41284105666922, `436` = 2.87304300931647,     `437` = 2.46339398769293, `438` = 2.94459097140992, `439` = 2.44625020909451,     `440` = 1.88518695389097, `441` = 2.63410511427251, `442` = 3.31221841531284,     `443` = 1.75003520014887, `444` = 2.03294189166507, `445` = 1.66007689915753,     `446` = 2.29814525739876, `447` = 3.06648380940822, `448` = 2.57970479276396,     `449` = 2.36683669531664, `450` = 2.4670869173179, `451` = 2.44602851362862,     `452` = 3.45053339543596, `453` = 3.28071687825047, `454` = 3.04908277183995,     `455` = 2.37763546512344, `456` = 2.26398601372506, `457` = 2.692748575164,     `458` = 2.62690602442052, `459` = 2.71352920569489, `460` = 2.47429183434904,     `461` = 2.4039247810575, `462` = 1.93412621996201, `463` = 2.38480340226842,     `464` = 2.07063510996225, `465` = 2.40690117392684, `466` = 2.42420000654002,     `467` = 2.81475506919669, `468` = 2.20640905191678, `469` = 2.37632831310256,     `470` = 3.53490867501887, `471` = 3.41002468731006, `472` = 2.75092976639121,     `473` = 3.09480651714885, `474` = 1.90007305083701, `475` = 3.2296327868531,     `476` = 3.02534506485739, `477` = 2.53398829371899, `478` = 2.82791722535193,     `479` = 2.55583773830625, `480` = 2.59402715530063, `481` = 1.6781326990062,     `482` = 2.87293840540908, `483` = 4.03969129126323, `484` = 3.19450816106775,     `485` = 2.68239952858409, `486` = 2.39405541049845, `487` = 2.71100128720999,     `488` = 3.00282156550285, `489` = 3.40302266876215, `490` = 2.88352616157181,     `491` = 3.52856064048011, `492` = 2.62144967861979, `493` = 2.77538989742825,     `494` = 3.59999333050544, `495` = 6.16348972719813, `496` = 2.4891599433751,     `497` = 2.37034460924193, `498` = 2.59980779332976, `499` = 2.30071384805534,     `500` = 3.07614227765401, `501` = 2.73259013984369, `502` = 3.25338285299229,     `503` = 2.04661688530079, `504` = 2.119780819561, `505` = 3.11313609957979,     `506` = 2.6988744349033, `507` = 2.38395417253592, `508` = 2.18648950581266,     `509` = 2.42837885798354, `510` = 2.68221147267643, `511` = 2.25428068095068,     `512` = 3.75887229099597, `513` = 2.65473882617471, `514` = 2.69017623822354,     `515` = 2.62515548587877, `516` = 2.34064129442189, `517` = 2.37656062416954,     `518` = 3.11073225841166, `519` = 1.65824952962201, `520` = 3.05076882119208,     `521` = 2.50896463090888, `522` = 2.77691889731644, `523` = 2.48655516799708,     `524` = 2.4847705304522, `525` = 2.83484261483298, `526` = 2.39148791182408,     `527` = 3.08293761712995, `528` = 2.11610089991802, `529` = 1.5441706288409,     `530` = 2.29338823560684, `531` = 2.2357005930668, `532` = 2.00046452981165,     `533` = 2.46775766392926, `534` = 2.37518687841549, `535` = 2.26924539949773,     `536` = 2.69708958988384, `537` = 1.7759969284976, `538` = 2.87932697846107,     `539` = 2.51924964421704, `540` = 2.41448920694114, `541` = 2.73088979297616,     `542` = 2.33592937775142, `543` = 2.42699526496006, `544` = 3.26971833241992,     `545` = 3.80927075812981, `546` = 3.64604939844582, `547` = 1.96050051349709,     `548` = 2.37166914445101, `549` = 2.60110158015077, `550` = 2.19353040701009,     `551` = 1.66039378190514, `552` = 2.81717036355495, `553` = 2.63349707431426,     `554` = 2.69710127484472, `555` = 1.90798875869868, `556` = 2.31371567893383,     `557` = 1.77090083956038, `558` = 2.37391574467976, `559` = 2.50262689711419,     `560` = 2.31168914410283, `561` = 2.22625805533233, `562` = 1.68021749593895,     `563` = 2.51377897825149, `564` = 2.09808172086947, `565` = 3.09578583530429,     `566` = 2.19900715901313, `567` = 1.80979414421884, `568` = 1.78503396884665,     `569` = 2.50774132675897, `570` = 2.49239230729125, `571` = 2.76211802056802,     `572` = 2.4495274017885, `573` = 3.28892969636115, `574` = 3.15211213487484,     `575` = 2.92840573999153, `576` = 2.7042293900111, `577` = 2.94371744049618,     `578` = 2.47580774375233, `579` = 2.92455079876968, `580` = 2.57811464680771,     `581` = 2.09501725666443, `582` = 2.11233201384487, `583` = 2.17435383560045,     `584` = 2.36979159264026, `585` = 2.67342838683219, `586` = 2.56022536590253,     `587` = 2.37232436135092, `588` = 2.27233056465191, `589` = 3.0468428457455,     `590` = 2.55069457032584, `591` = 2.09756322003269, `592` = 2.40306812582161,     `593` = 2.45500210452847, `594` = 2.86907537820904, `595` = 2.60261574773351,     `596` = 2.46107520830906, `597` = 1.85902245529062, `598` = 2.89225570374173,     `599` = 2.65436849639519, `600` = 2.87087714348427, `601` = 3.46886542980082,     `602` = 2.68512701414622, `603` = 2.35003691394945, `604` = 2.14627270516146,     `605` = 2.23384069990504, `606` = 2.26441295743203, `607` = 2.85303023058625,     `608` = 2.52519561937849, `609` = 1.57105260574496, `610` = 2.37037349981258,     `611` = 3.04865674785886, `612` = 2.66980960831409, `613` = 2.26749788061542,     `614` = 2.82468867713131, `615` = 2.3195107615215, `616` = 2.45284107326388,     `617` = 2.56240566991253, `618` = 3.5032340625682, `619` = 2.99012848419003,     `620` = 3.69815882893603, `621` = 2.90806077391049, `622` = 2.69781322229088,     `623` = 3.14076048190506, `624` = 4.49059794128407, `625` = 3.74525948670074,     `626` = 2.36112028298741, `627` = 2.40385272685886, `628` = 2.6893053745018,     `629` = 2.3797231366545, `630` = 2.71343039320212, `631` = 2.24472670443739,     `632` = 2.93449351293732, `633` = 4.64415079258173, `634` = 2.94929885043176,     `635` = 2.8726564625836, `636` = 2.61383490293316, `637` = 3.26153429983134,     `638` = 2.47400494380402, `639` = 3.01176455064242, `640` = 3.49592172694681,     `641` = 2.67957734578401, `642` = 3.17453140868152, `643` = 2.32665270498733,     `644` = 2.7575036297423, `645` = 2.0689328843544, `646` = 2.46785376746714,     `647` = 3.32570305967851, `648` = 0.905248324266446, `649` = 2.50428948117561,     `650` = 2.53912900337754, `651` = 2.3826549275648, `652` = 2.44542191253417,     `653` = 2.62469142433065, `654` = 2.65637163809148, `655` = 2.66860851254179,     `656` = 2.38249985819357, `657` = 2.66226570688936, `658` = 3.3192449193186,     `659` = 2.73111344992993, `660` = 3.04282974391802, `661` = 2.45256085675311,     `662` = 2.67768607034304, `663` = 2.77783018778015, `664` = 2.1579712498587,     `665` = 2.37298409942318, `666` = 3.77862150624116, `667` = 2.11634477584323,     `668` = 2.94397684292152, `669` = 2.36024450269283, `670` = 1.96870553397572,     `671` = 1.70461446504352, `672` = 2.11940451882738, `673` = 1.7263870453371,     `674` = 2.08704111428627, `675` = 2.95687309973058, `676` = 2.37665447487459,     `677` = 3.15422627810539, `678` = 2.49702523812035, `679` = 1.92644836113277,     `680` = 2.34875871370472, `681` = 2.22844659869117, `682` = 2.28679608898358,     `683` = 2.62823063420633, `684` = 2.45143195137904, `685` = 2.8489110203038,     `686` = 2.65175935979436, `687` = 2.88524094060349, `688` = 2.5952722765178,     `689` = 2.37231532291548, `690` = 2.76339467172705, `691` = 2.8873289565435,     `692` = 2.30150257336182, `693` = 2.49468059867389, `694` = 2.9386886921381,     `695` = 3.75746997650522, `696` = 2.66568016818031, `697` = 2.4930667288634,     `698` = 3.13380307686093, `699` = 2.10019517768552, `700` = 2.38255703596884,     `701` = 2.86056652465783, `702` = 2.25938206522155, `703` = 2.89379813499127,     `704` = 2.25180330762531, `705` = 2.65134453007541, `706` = 2.49261895369649,     `707` = 2.92482004635633, `708` = 2.99960795197273, `709` = 2.39534315168548,     `710` = 2.80968394898164, `711` = 1.5365706856904, `712` = 2.36240206475222,     `713` = 1.74480446929666, `714` = 2.69272631893605, `715` = 2.51260627559957,     `716` = 2.46876974298805, `717` = 2.40833157695587, `718` = 3.3687784443709,     `719` = 2.5060766692575, `720` = 3.76322910561409, `721` = 2.68274467180769,     `722` = 2.73776984498368, `723` = 3.20084163854064, `724` = 2.15532930018422,     `725` = 2.37168049406483, `726` = 2.49101118391487, `727` = 2.64893383948362,     `728` = 2.55000347491773, `729` = 2.23662652396895, `730` = 3.20003639165197,     `731` = 2.66800696736024, `732` = 3.05525636675038, `733` = 1.18148846416636,     `734` = 3.54271987460358, `735` = 2.99515813678729, `736` = 2.39151522397183,     `737` = 2.38585928232041, `738` = 3.08656767068624, `739` = 2.61626780552435,     `740` = 2.97115704778034, `741` = 3.03439656895824, `742` = 2.37931601007593,     `743` = 2.33883331819551, `744` = 1.60348696140688, `745` = 1.11688145045703,     `746` = 2.57736600422859, `747` = 2.66802533594202, `748` = 2.26404981534278,     `749` = 3.07219106215321, `750` = 2.77050828138718, `751` = 2.428794530875,     `752` = 2.44110931378247, `753` = 2.99082624009212, `754` = 2.80966642752265,     `755` = 2.89406725105139, `756` = 2.77030884986535, `757` = 4.15811193019416,     `758` = 2.57886699953155, `759` = 2.2280269081183, `760` = 2.23759767417144,     `761` = 2.5058665552149, `762` = 2.35823648366692, `763` = 2.57415384248165,     `764` = 3.10240981596749, `765` = 2.37066373006279, `766` = 1.26531154683944,     `767` = 3.17649132143359, `768` = 2.75939408955155, `769` = 2.92685172692651,     `770` = 2.3324407578609, `771` = 2.65018850565418, `772` = 1.61809174258647,     `773` = 2.71163104961438, `774` = 2.7686205447316, `775` = 2.07510786293649,     `776` = 2.19346015793001, `777` = 3.05666417694624, `778` = 2.61234105858666,     `779` = 2.46128612603711, `780` = 2.74057681523593, `781` = 1.82127812685098,     `782` = 2.95877261683777, `783` = 1.74839601569804, `784` = 1.88235766204648,     `785` = 2.82663471616036, `786` = 3.00464332237119, `787` = 1.84219985532157,     `788` = 3.04630071488416, `789` = 2.83071631673509, `790` = 2.50017115705951,     `791` = 2.37261285446862, `792` = 1.98067493063167, `793` = 2.47455687271204,     `794` = 3.62089358349168, `795` = 1.73327011655719, `796` = 1.99643069057204,     `797` = 4.06628378549785, `798` = 1.90545718313818, `799` = 1.36597756677296,     `800` = 2.60145375327965), call = ols(formula = y ~ rcs(age,         4) * treat * sex), terms = y ~ rcs(age, 4) * treat *         sex, Design = list(name = c("age", "treat", "sex", "age * treat",     "age * sex", "treat * sex", "age * treat * sex"), label = c("age",     "treat", "sex", "age * treat", "age * sex", "treat * sex",     "age * treat * sex"), units = c(age = "", treat = "", sex = ""    ), colnames = c("age", "age'", "age''", "treat=placebo",     "sex=male", "age * treat=placebo", "age' * treat=placebo",     "age'' * treat=placebo", "age * sex=male", "age' * sex=male",     "age'' * sex=male", "treat=placebo * sex=male", "age * treat=placebo * sex=male",     "age' * treat=placebo * sex=male", "age'' * treat=placebo * sex=male"    ), mmcolnames = c("rcs(age, 4)age", "rcs(age, 4)age'", "rcs(age, 4)age''",     "treatplacebo", "sexmale", "rcs(age, 4)age:treatplacebo",     "rcs(age, 4)age':treatplacebo", "rcs(age, 4)age'':treatplacebo",     "rcs(age, 4)age:sexmale", "rcs(age, 4)age':sexmale", "rcs(age, 4)age'':sexmale",     "treatplacebo:sexmale", "rcs(age, 4)age:treatplacebo:sexmale",     "rcs(age, 4)age':treatplacebo:sexmale", "rcs(age, 4)age'':treatplacebo:sexmale"    ), assume = c("rcspline", "category", "category", "interaction",     "interaction", "interaction", "interaction"), assume.code = c(4L,     5L, 5L, 9L, 9L, 9L, 9L), parms = list(age = c(33.006063739913,     46.0450788298244, 53.6005047434426, 67.3753079336887), treat = c("drug",     "placebo"), sex = c("female", "male"), `age * treat` = structure(c(1,     2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `age * sex` = structure(c(1,     3, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", ""))), `treat * sex` = structure(c(2,     3, 0, 0, 0, 0), dim = 3:2, dimnames = list(NULL, c("parms",     ""))), `age * treat * sex` = structure(c(1L, 2L, 3L, 0L,     0L, 0L, 1L, 0L, 0L, 1L, 0L, 0L), dim = 3:4, dimnames = list(        NULL, c("parms", "", "", "")))), limits = list(), values = list(),         nonlinear = list(age = c(FALSE, TRUE, TRUE), treat = FALSE,             sex = FALSE, `age * treat` = c(FALSE, TRUE, TRUE),             `age * sex` = c(FALSE, TRUE, TRUE), `treat * sex` = FALSE,             `age * treat * sex` = c(FALSE, TRUE, TRUE)), tex = list(),         interactions = structure(c(1, 2, 0, 1, 3, 0, 2, 3, 0,         1, 2, 3), dim = 3:4)), non.slopes = 1, na.action = NULL,     scale.pred = "y", fail = FALSE, sformula = y ~ rcs(age, 4) *         treat * sex), class = c("ols", "rms", "lm")), factors = list(    x1 = c(-2, -1.78947368421053, -1.57894736842105, -1.36842105263158,     -1.15789473684211, -0.947368421052632, -0.736842105263158,     -0.526315789473684, -0.315789473684211, -0.105263157894737,     0.105263157894737, 0.315789473684211, 0.526315789473684,     0.736842105263158, 0.947368421052631, 1.15789473684211, 1.36842105263158,     1.57894736842105, 1.78947368421053, 2), x2 = "b"), expand = TRUE): factor(s) not in design: x1 x2

# Note: If using a spline fit, there should be at least one value of
# x1 between any two knots and beyond the outer knots.
options(datadist=NULL)

General Contrasts of Regression Coefficients

Arguments

Value

Author

See also

Examples