A class for panel series for which several useful computations and data transformations are available.
# S3 method for class 'pseries'
print(x, ...)
# S3 method for class 'pseries'
as.matrix(x, idbyrow = TRUE, ...)
# S3 method for class 'pseries'
plot(
x,
plot = c("lattice", "superposed"),
scale = FALSE,
transparency = TRUE,
col = "blue",
lwd = 1,
...
)
# S3 method for class 'pseries'
summary(object, ...)
# S3 method for class 'summary.pseries'
plot(x, ...)
# S3 method for class 'summary.pseries'
print(x, ...)
Sum(x, ...)
# Default S3 method
Sum(x, effect, ...)
# S3 method for class 'pseries'
Sum(x, effect = c("individual", "time", "group"), ...)
# S3 method for class 'matrix'
Sum(x, effect, ...)
Between(x, ...)
# Default S3 method
Between(x, effect, ...)
# S3 method for class 'pseries'
Between(x, effect = c("individual", "time", "group"), ...)
# S3 method for class 'matrix'
Between(x, effect, ...)
between(x, ...)
# Default S3 method
between(x, effect, ...)
# S3 method for class 'pseries'
between(x, effect = c("individual", "time", "group"), ...)
# S3 method for class 'matrix'
between(x, effect, ...)
Within(x, ...)
# Default S3 method
Within(x, effect, ...)
# S3 method for class 'pseries'
Within(x, effect = c("individual", "time", "group", "twoways"), ...)
# S3 method for class 'matrix'
Within(x, effect, ...)a pseries or a matrix; or a summary.pseries object,
further arguments, e. g., na.rm = TRUE for
transformation functions like between, see Details
and Examples.
if TRUE in the as.matrix method, the lines of
the matrix are the individuals,
plot arguments,
for the pseries methods: character string indicating the
"individual", "time", or "group" effect, for Within
"twoways" additionally; for non-pseries methods, effect is a factor
specifying the dimension ("twoways" is not possible),
All these functions return an object of class pseries or a matrix,
except:between, which returns a numeric vector or a matrix;
as.matrix, which returns a matrix.
The functions between, Between, Within, and Sum perform specific
data transformations, i. e., the between, within, and sum transformation,
respectively.
between returns a vector/matrix containing the individual means (over
time) with the length of the vector equal to the number of
individuals (if effect = "individual" (default); if effect = "time",
it returns the time means (over individuals)). Between
duplicates the values and returns a vector/matrix which length/number of rows
is the number of total observations. Within returns a vector/matrix
containing the values in deviation from the individual means
(if effect = "individual", from time means if effect = "time"), the so
called demeaned data. Sum returns a vector/matrix with sum per individual
(over time) or the sum per time period (over individuals) with
effect = "individual" or effect = "time", respectively, and has length/
number of rows of the total observations (like Between).
For between, Between, Within, and Sum in presence of NA values it
can be useful to supply na.rm = TRUE as an additional argument to
keep as many observations as possible in the resulting transformation.
na.rm is passed on to the mean()/sum() function used by these transformations
(i.e., it does not remove NAs prior to any processing!), see also
Examples.
is.pseries() to check if an object is a pseries. For
more functions on class 'pseries' see lag(), lead(),
diff() for lagging values, leading values (negative lags) and
differencing.
# First, create a pdata.frame
data("EmplUK", package = "plm")
Em <- pdata.frame(EmplUK)
# Then extract a series, which becomes additionally a pseries
z <- Em$output
class(z)
#> [1] "pseries" "numeric"
# obtain the matrix representation
as.matrix(z)
#> 1976 1977 1978 1979 1980 1981 1982 1983
#> 1 NA 95.7072 97.3569 99.6083 100.5501 99.5581 98.6151 100.0301
#> 2 NA 95.7072 97.3569 99.6083 100.5501 99.5581 98.6151 100.0301
#> 3 NA 95.7072 97.3569 99.6083 100.5501 99.5581 98.6151 100.0301
#> 4 NA 118.2223 120.1551 118.8319 111.9164 97.5540 92.1982 92.4041
#> 5 94.8991 96.5038 98.8163 100.4835 100.1223 98.5270 99.5083 NA
#> 6 102.7724 107.0270 108.6788 111.1190 101.9265 99.4971 99.3103 NA
#> 7 104.7664 107.4791 108.9188 111.5591 100.0000 99.3965 99.2931 NA
#> 8 104.7664 107.4791 108.9188 111.5591 100.0000 99.3965 99.2931 NA
#> 9 102.7724 107.0270 108.6788 111.1190 101.9265 99.4971 99.3103 NA
#> 10 95.3657 96.7315 99.2333 100.7335 100.0000 98.2324 99.7635 NA
#> 11 104.7664 107.4791 108.9188 111.5591 100.0000 99.3965 99.2931 NA
#> 12 104.7664 107.4791 108.9188 111.5591 100.0000 99.3965 99.2931 NA
#> 13 125.8064 127.9649 125.4294 125.0259 106.3044 98.0729 96.8674 NA
#> 14 NA NA 127.3866 124.6424 118.9132 99.3576 97.2428 97.1944
#> 15 NA 105.3355 108.1833 110.6984 105.9673 96.5931 92.0013 92.2488
#> 16 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 17 NA 127.1640 127.3866 124.6424 118.9132 99.3576 97.2428 97.1944
#> 18 NA 116.2250 114.9750 111.8250 106.6750 97.3000 89.5250 89.6000
#> 19 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 20 NA 116.2250 114.9750 111.8250 106.6750 97.3000 89.5250 89.6000
#> 21 NA 116.2250 114.9750 111.8250 106.6750 97.3000 89.5250 89.6000
#> 22 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 23 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 24 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 25 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 26 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 27 NA NA 112.8000 108.9000 100.0000 89.2000 90.5000 86.9000
#> 28 NA 93.9500 98.2000 102.5667 102.0167 99.4917 94.2583 99.0583
#> 29 NA 95.7000 100.2000 102.4000 101.1000 96.9500 96.0500 103.3500
#> 30 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 31 104.7664 107.4791 108.9188 111.5591 100.0000 99.3965 99.2931 NA
#> 32 NA 96.0500 100.6000 102.3667 100.9167 96.4417 96.4083 104.2083
#> 33 93.6000 97.8000 102.6000 102.2000 100.0000 93.9000 98.2000 NA
#> 34 NA 95.7000 100.2000 102.4000 101.1000 96.9500 96.0500 103.3500
#> 35 NA 94.6500 99.0000 102.5000 101.6500 98.4750 94.9750 100.7750
#> 36 93.6000 97.8000 102.6000 102.2000 100.0000 93.9000 98.2000 NA
#> 37 NA 116.2250 114.9750 111.8250 106.6750 97.3000 89.5250 89.6000
#> 38 106.1747 108.9675 107.8624 104.5668 100.0000 92.7430 90.0386 NA
#> 39 NA 116.2250 114.9750 111.8250 106.6750 97.3000 89.5250 89.6000
#> 40 106.5556 108.2693 108.1387 105.3907 101.1417 94.5573 90.7147 NA
#> 41 NA 116.2250 114.9750 111.8250 106.6750 97.3000 89.5250 89.6000
#> 42 106.1747 108.9675 107.8624 104.5668 100.0000 92.7430 90.0386 NA
#> 43 NA 127.1640 127.3866 124.6424 118.9132 99.3576 97.2428 97.1944
#> 44 NA 116.2250 114.9750 111.8250 106.6750 97.3000 89.5250 89.6000
#> 45 NA 127.1640 127.3866 124.6424 118.9132 99.3576 97.2428 97.1944
#> 46 126.7636 128.3653 124.4507 125.2176 100.0000 97.4305 96.6797 NA
#> 47 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 48 126.7636 128.3653 124.4507 125.2176 100.0000 97.4305 96.6797 NA
#> 49 117.6000 115.8750 113.5250 109.8750 102.2250 91.9000 90.1750 NA
#> 50 106.1747 108.9675 107.8624 104.5668 100.0000 92.7430 90.0386 NA
#> 51 125.8064 127.9649 125.4294 125.0259 106.3044 98.0729 96.8674 NA
#> 52 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 53 NA 116.2250 114.9750 111.8250 106.6750 97.3000 89.5250 89.6000
#> 54 NA 127.1640 127.3866 124.6424 118.9132 99.3576 97.2428 97.1944
#> 55 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 56 126.7636 128.3653 124.4507 125.2176 100.0000 97.4305 96.6797 NA
#> 57 NA 117.9279 120.2607 118.9515 113.4060 98.1655 92.3142 92.1207
#> 58 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 59 NA 117.9279 120.2607 118.9515 113.4060 98.1655 92.3142 92.1207
#> 60 103.7669 106.9042 109.4623 111.9345 100.0000 93.1862 90.8164 NA
#> 61 NA 104.5512 107.5437 110.0804 108.9509 98.2966 92.5937 91.5326
#> 62 NA 117.9279 120.2607 118.9515 113.4060 98.1655 92.3142 92.1207
#> 63 110.1000 109.2000 111.9000 111.0000 100.0000 89.0000 90.9000 NA
#> 64 110.1000 109.2000 111.9000 111.0000 100.0000 89.0000 90.9000 NA
#> 65 110.1000 109.2000 111.9000 111.0000 100.0000 89.0000 90.9000 NA
#> 66 NA 109.8750 109.8750 111.6750 108.2500 97.2500 89.4750 91.6500
#> 67 117.0448 120.5774 119.3105 117.8746 100.0000 92.6621 91.2704 NA
#> 68 110.1000 109.2000 111.9000 111.0000 100.0000 89.0000 90.9000 NA
#> 69 NA 109.8750 109.8750 111.6750 108.2500 97.2500 89.4750 91.6500
#> 70 NA 104.5512 107.5437 110.0804 108.9509 98.2966 92.5937 91.5326
#> 71 102.5303 106.1199 108.8228 111.3165 102.9836 94.8896 91.4088 NA
#> 72 103.7669 106.9042 109.4623 111.9345 100.0000 93.1862 90.8164 NA
#> 73 NA 104.5512 107.5437 110.0804 108.9509 98.2966 92.5937 91.5326
#> 74 NA 104.5512 107.5437 110.0804 108.9509 98.2966 92.5937 91.5326
#> 75 103.7669 106.9042 109.4623 111.9345 100.0000 93.1862 90.8164 NA
#> 76 102.5303 106.1199 108.8228 111.3165 102.9836 94.8896 91.4088 NA
#> 77 NA 104.5512 107.5437 110.0804 108.9509 98.2966 92.5937 91.5326
#> 78 102.5303 106.1199 108.8228 111.3165 102.9836 94.8896 91.4088 NA
#> 79 93.6000 97.8000 102.6000 102.2000 100.0000 93.9000 98.2000 NA
#> 80 103.7669 106.9042 109.4623 111.9345 100.0000 93.1862 90.8164 NA
#> 81 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 82 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 83 NA 127.1640 127.3866 124.6424 118.9132 99.3576 97.2428 97.1944
#> 84 94.6657 96.3900 98.6078 100.3584 100.1834 98.6743 99.3807 NA
#> 85 93.8333 97.1000 101.8000 102.2667 100.3667 94.9167 97.4833 NA
#> 86 94.6657 96.3900 98.6078 100.3584 100.1834 98.6743 99.3807 NA
#> 87 116.4000 115.7000 112.8000 108.9000 100.0000 89.2000 90.5000 NA
#> 88 110.1000 109.2000 111.9000 111.0000 100.0000 89.0000 90.9000 NA
#> 89 110.1000 109.2000 111.9000 111.0000 100.0000 89.0000 90.9000 NA
#> 90 110.0500 109.4250 111.2250 111.2250 102.7500 91.7500 90.4250 NA
#> 91 104.7664 107.4791 108.9188 111.5591 100.0000 99.3965 99.2931 NA
#> 92 94.5333 95.0000 99.4000 102.4667 101.4667 97.9667 95.3333 NA
#> 93 NA 94.6500 99.0000 102.5000 101.6500 98.4750 94.9750 100.7750
#> 94 117.6000 115.8750 113.5250 109.8750 102.2250 91.9000 90.1750 NA
#> 95 126.7636 128.3653 124.4507 125.2176 100.0000 97.4305 96.6797 NA
#> 96 126.7636 128.3653 124.4507 125.2176 100.0000 97.4305 96.6797 NA
#> 97 117.6000 115.8750 113.5250 109.8750 102.2250 91.9000 90.1750 NA
#> 98 NA 127.1640 127.3866 124.6424 118.9132 99.3576 97.2428 97.1944
#> 99 NA 104.5512 107.5437 110.0804 108.9509 98.2966 92.5937 91.5326
#> 100 NA 127.6979 126.0818 124.8981 110.5073 98.5011 96.9925 97.8807
#> 101 NA 117.9279 120.2607 118.9515 113.4060 98.1655 92.3142 92.1207
#> 102 NA 105.4446 107.8390 109.5789 108.6693 99.8491 99.3706 101.2430
#> 103 93.6000 97.8000 102.6000 102.2000 100.0000 93.9000 98.2000 NA
#> 104 NA 95.8210 97.5654 99.7333 100.4890 99.4108 98.7427 100.1189
#> 105 NA 96.2762 98.3993 100.2334 100.2445 98.8216 99.2531 100.4744
#> 106 NA 96.3900 98.6078 100.3584 100.1834 98.6743 99.3807 100.5633
#> 107 NA 95.7072 97.3569 99.6083 100.5501 99.5581 98.6151 100.0301
#> 108 NA 95.7072 97.3569 99.6083 100.5501 99.5581 98.6151 100.0301
#> 109 NA 96.3900 98.6078 100.3584 100.1834 98.6743 99.3807 100.5633
#> 110 NA 127.1640 127.3866 124.6424 118.9132 99.3576 97.2428 97.1944
#> 111 NA 116.0500 114.2500 110.8500 104.4500 94.6000 89.8500 88.7000
#> 112 NA 106.8729 108.6912 107.0385 103.4251 98.1858 92.0669 89.8429
#> 113 93.9500 96.7500 101.4000 102.3000 100.5500 95.4250 97.1250 105.9250
#> 114 NA 120.5774 119.3105 117.8746 100.0000 92.6621 91.2704 94.6714
#> 115 NA 120.5774 119.3105 117.8746 100.0000 92.6621 91.2704 94.6714
#> 116 NA 117.6336 120.3662 119.0712 114.8955 98.7770 92.4302 91.8372
#> 117 NA 107.4791 108.9188 111.5591 100.0000 99.3965 99.2931 107.0929
#> 118 116.8157 118.2223 120.1551 118.8319 111.9164 97.5540 92.1982 92.4041
#> 119 NA 109.8750 109.8750 111.6750 108.2500 97.2500 89.4750 91.6500
#> 120 NA 105.5970 108.3964 110.9044 104.9727 96.0253 91.8038 92.4875
#> 121 NA 104.5512 107.5437 110.0804 108.9509 98.2966 92.5937 91.5326
#> 122 103.7669 106.9042 109.4623 111.9345 100.0000 93.1862 90.8164 93.6813
#> 123 103.7669 106.9042 109.4623 111.9345 100.0000 93.1862 90.8164 93.6813
#> 124 NA 110.0250 109.4250 111.8250 110.0833 99.0833 89.1583 91.1500
#> 125 NA 117.3392 120.4718 119.1908 116.3851 99.3885 92.5462 91.5538
#> 126 NA 118.2223 120.1551 118.8319 111.9164 97.5540 92.1982 92.4041
#> 127 94.6657 96.3900 98.6078 100.3584 100.1834 98.6743 99.3807 100.5633
#> 128 94.6657 96.3900 98.6078 100.3584 100.1834 98.6743 99.3807 100.5633
#> 129 94.6657 96.3900 98.6078 100.3584 100.1834 98.6743 99.3807 100.5633
#> 130 101.7754 106.8009 108.5589 110.8990 102.8898 99.5474 99.3189 105.1429
#> 131 103.7669 106.9042 109.4623 111.9345 100.0000 93.1862 90.8164 93.6813
#> 132 126.7636 128.3653 124.4507 125.2176 100.0000 97.4305 96.6797 98.7386
#> 133 117.6000 115.8750 113.5250 109.8750 102.2250 91.9000 90.1750 87.8000
#> 134 117.0448 120.5774 119.3105 117.8746 100.0000 92.6621 91.2704 94.6714
#> 135 116.9589 119.6943 119.6272 118.2336 104.4687 94.4966 91.6183 93.8212
#> 136 117.0448 120.5774 119.3105 117.8746 100.0000 92.6621 91.2704 94.6714
#> 137 110.0500 109.4250 111.2250 111.2250 102.7500 91.7500 90.4250 93.1500
#> 138 101.7059 105.5970 108.3964 110.9044 104.9727 96.0253 91.8038 92.4875
#> 139 102.5303 106.1199 108.8228 111.3165 102.9836 94.8896 91.4088 92.9650
#> 140 104.7664 107.4791 108.9188 111.5591 100.0000 99.3965 99.2931 107.0929
#> 1984
#> 1 NA
#> 2 NA
#> 3 NA
#> 4 NA
#> 5 NA
#> 6 NA
#> 7 NA
#> 8 NA
#> 9 NA
#> 10 NA
#> 11 NA
#> 12 NA
#> 13 NA
#> 14 99.9862
#> 15 NA
#> 16 NA
#> 17 NA
#> 18 NA
#> 19 NA
#> 20 NA
#> 21 NA
#> 22 NA
#> 23 NA
#> 24 NA
#> 25 NA
#> 26 NA
#> 27 87.4000
#> 28 NA
#> 29 NA
#> 30 NA
#> 31 NA
#> 32 NA
#> 33 NA
#> 34 NA
#> 35 NA
#> 36 NA
#> 37 NA
#> 38 NA
#> 39 NA
#> 40 NA
#> 41 NA
#> 42 NA
#> 43 NA
#> 44 NA
#> 45 NA
#> 46 NA
#> 47 NA
#> 48 NA
#> 49 NA
#> 50 NA
#> 51 NA
#> 52 NA
#> 53 NA
#> 54 NA
#> 55 NA
#> 56 NA
#> 57 NA
#> 58 NA
#> 59 NA
#> 60 NA
#> 61 NA
#> 62 NA
#> 63 NA
#> 64 NA
#> 65 NA
#> 66 NA
#> 67 NA
#> 68 NA
#> 69 NA
#> 70 NA
#> 71 NA
#> 72 NA
#> 73 NA
#> 74 NA
#> 75 NA
#> 76 NA
#> 77 NA
#> 78 NA
#> 79 NA
#> 80 NA
#> 81 NA
#> 82 NA
#> 83 NA
#> 84 NA
#> 85 NA
#> 86 NA
#> 87 NA
#> 88 NA
#> 89 NA
#> 90 NA
#> 91 NA
#> 92 NA
#> 93 NA
#> 94 NA
#> 95 NA
#> 96 NA
#> 97 NA
#> 98 NA
#> 99 NA
#> 100 NA
#> 101 NA
#> 102 NA
#> 103 NA
#> 104 101.2078
#> 105 101.5857
#> 106 101.6802
#> 107 101.1133
#> 108 101.1133
#> 109 101.6802
#> 110 99.9862
#> 111 87.1500
#> 112 88.4593
#> 113 NA
#> 114 97.9030
#> 115 97.9030
#> 116 95.2100
#> 117 113.4571
#> 118 NA
#> 119 94.1750
#> 120 96.0539
#> 121 94.6981
#> 122 NA
#> 123 NA
#> 124 93.9917
#> 125 94.9407
#> 126 95.7486
#> 127 101.6802
#> 128 101.6802
#> 129 101.6802
#> 130 111.8661
#> 131 97.7487
#> 132 103.7289
#> 133 87.2750
#> 134 97.9030
#> 135 97.0951
#> 136 97.9030
#> 137 94.7250
#> 138 96.0539
#> 139 96.7318
#> 140 113.4571
# compute the between and within transformations
between(z)
#> 1 2 3 4 5 6 7 8
#> 98.77511 98.77511 98.77511 107.32600 98.40861 104.33301 104.48757 104.48757
#> 9 10 11 12 13 14 15 16
#> 104.33301 98.57998 104.48757 104.48757 115.06733 109.24617 101.57539 104.78571
#> 17 18 19 20 21 22 23 24
#> 113.12871 103.73214 104.78571 103.73214 103.73214 104.78571 104.78571 104.78571
#> 25 26 27 28 29 30 31 32
#> 104.78571 104.78571 96.52857 98.50596 99.39286 104.78571 104.48757 99.57024
#> 33 34 35 36 37 38 39 40
#> 98.32857 99.39286 98.86071 98.32857 103.73214 101.47900 103.73214 102.10971
#> 41 42 43 44 45 46 47 48
#> 103.73214 101.47900 113.12871 103.73214 113.12871 114.12963 104.78571 114.12963
#> 49 50 51 52 53 54 55 56
#> 105.88214 101.47900 115.06733 104.78571 103.73214 113.12871 104.78571 114.12963
#> 57 58 59 60 61 62 63 64
#> 107.59236 104.78571 107.59236 102.29579 101.93559 107.59236 103.15714 103.15714
#> 65 66 67 68 69 70 71 72
#> 103.15714 102.57857 108.39140 103.15714 102.57857 101.93559 102.58164 102.29579
#> 73 74 75 76 77 78 79 80
#> 101.93559 101.93559 102.29579 102.58164 101.93559 102.58164 98.32857 102.29579
#> 81 82 83 84 85 86 87 88
#> 104.78571 104.78571 113.12871 98.32290 98.25239 98.32290 104.78571 103.15714
#> 89 90 91 92 93 94 95 96
#> 103.15714 103.83571 104.48757 98.02381 98.86071 105.88214 114.12963 114.12963
#> 97 98 99 100 101 102 103 104
#> 105.88214 113.12871 101.93559 111.79420 107.59236 104.57064 98.32857 99.13611
#> 105 106 107 108 109 110 111 112
#> 99.41102 99.47976 99.06739 99.06739 99.47976 111.48590 100.73750 99.32283
#> 113 114 115 116 117 118 119 120
#> 99.17812 104.28368 104.28368 106.27761 105.89957 108.51221 101.52813 100.78013
#> 121 122 123 124 125 126 127 128
#> 101.03090 101.21897 101.21897 101.84270 106.47701 105.87882 98.94487 98.94487
#> 129 130 131 132 133 134 135 136
#> 98.94487 105.19992 100.83339 111.26388 101.80556 105.70158 106.22377 105.70158
#> 137 138 139 140
#> 101.63611 100.88299 100.86314 105.77367
Within(z)
#> 1-1977 1-1978 1-1979 1-1980 1-1981 1-1982
#> -3.06791471 -1.41821071 0.83318529 1.77498629 0.78298429 -0.16001671
#> 1-1983 2-1977 2-1978 2-1979 2-1980 2-1981
#> 1.25498629 -3.06791471 -1.41821071 0.83318529 1.77498629 0.78298429
#> 2-1982 2-1983 3-1977 3-1978 3-1979 3-1980
#> -0.16001671 1.25498629 -3.06791471 -1.41821071 0.83318529 1.77498629
#> 3-1981 3-1982 3-1983 4-1977 4-1978 4-1979
#> 0.78298429 -0.16001671 1.25498629 10.89630057 12.82910057 11.50590057
#> 4-1980 4-1981 4-1982 4-1983 5-1976 5-1977
#> 4.59040057 -9.77199843 -15.12780343 -14.92190043 -3.50951329 -1.90481529
#> 5-1978 5-1979 5-1980 5-1981 5-1982 6-1976
#> 0.40768471 2.07488571 1.71368571 0.11838571 1.09968671 -1.56061486
#> 6-1977 6-1978 6-1979 6-1980 6-1981 6-1982
#> 2.69398514 4.34578514 6.78598514 -2.40651486 -4.83591386 -5.02271186
#> 7-1976 7-1977 7-1978 7-1979 7-1980 7-1981
#> 0.27882886 2.99152886 4.43122886 7.07152886 -4.48757114 -5.09107114
#> 7-1982 8-1976 8-1977 8-1978 8-1979 8-1980
#> -5.19447314 0.27882886 2.99152886 4.43122886 7.07152886 -4.48757114
#> 8-1981 8-1982 9-1976 9-1977 9-1978 9-1979
#> -5.09107114 -5.19447314 -1.56061486 2.69398514 4.34578514 6.78598514
#> 9-1980 9-1981 9-1982 10-1976 10-1977 10-1978
#> -2.40651486 -4.83591386 -5.02271186 -3.21428471 -1.84848571 0.65331429
#> 10-1979 10-1980 10-1981 10-1982 11-1976 11-1977
#> 2.15351529 1.42001529 -0.34758571 1.18351129 0.27882886 2.99152886
#> 11-1978 11-1979 11-1980 11-1981 11-1982 12-1976
#> 4.43122886 7.07152886 -4.48757114 -5.09107114 -5.19447314 0.27882886
#> 12-1977 12-1978 12-1979 12-1980 12-1981 12-1982
#> 2.99152886 4.43122886 7.07152886 -4.48757114 -5.09107114 -5.19447314
#> 13-1976 13-1977 13-1978 13-1979 13-1980 13-1981
#> 10.73907143 12.89757143 10.36207143 9.95857143 -8.76292857 -16.99442957
#> 13-1982 14-1978 14-1979 14-1980 14-1981 14-1982
#> -18.19992757 18.14043000 15.39623000 9.66703000 -9.88857300 -12.00337200
#> 14-1983 14-1984 15-1977 15-1978 15-1979 15-1980
#> -12.05177300 -9.25997200 3.76011414 6.60791414 9.12301414 4.39191414
#> 15-1981 15-1982 15-1983 16-1976 16-1977 16-1978
#> -4.98228386 -9.57408886 -9.32658386 11.61428614 10.91428614 8.01428614
#> 16-1979 16-1980 16-1981 16-1982 17-1977 17-1978
#> 4.11428614 -4.78571386 -15.58571686 -14.28571386 14.03528686 14.25788686
#> 17-1979 17-1980 17-1981 17-1982 17-1983 18-1977
#> 11.51368686 5.78448686 -13.77111614 -15.88591514 -15.93431614 12.49285671
#> 18-1978 18-1979 18-1980 18-1981 18-1982 18-1983
#> 11.24285671 8.09285671 2.94285671 -6.43214029 -14.20714129 -14.13214529
#> 19-1976 19-1977 19-1978 19-1979 19-1980 19-1981
#> 11.61428614 10.91428614 8.01428614 4.11428614 -4.78571386 -15.58571686
#> 19-1982 20-1977 20-1978 20-1979 20-1980 20-1981
#> -14.28571386 12.49285671 11.24285671 8.09285671 2.94285671 -6.43214029
#> 20-1982 20-1983 21-1977 21-1978 21-1979 21-1980
#> -14.20714129 -14.13214529 12.49285671 11.24285671 8.09285671 2.94285671
#> 21-1981 21-1982 21-1983 22-1976 22-1977 22-1978
#> -6.43214029 -14.20714129 -14.13214529 11.61428614 10.91428614 8.01428614
#> 22-1979 22-1980 22-1981 22-1982 23-1976 23-1977
#> 4.11428614 -4.78571386 -15.58571686 -14.28571386 11.61428614 10.91428614
#> 23-1978 23-1979 23-1980 23-1981 23-1982 24-1976
#> 8.01428614 4.11428614 -4.78571386 -15.58571686 -14.28571386 11.61428614
#> 24-1977 24-1978 24-1979 24-1980 24-1981 24-1982
#> 10.91428614 8.01428614 4.11428614 -4.78571386 -15.58571686 -14.28571386
#> 25-1976 25-1977 25-1978 25-1979 25-1980 25-1981
#> 11.61428614 10.91428614 8.01428614 4.11428614 -4.78571386 -15.58571686
#> 25-1982 26-1976 26-1977 26-1978 26-1979 26-1980
#> -14.28571386 11.61428614 10.91428614 8.01428614 4.11428614 -4.78571386
#> 26-1981 26-1982 27-1978 27-1979 27-1980 27-1981
#> -15.58571686 -14.28571386 16.27142843 12.37142843 3.47142843 -7.32857457
#> 27-1982 27-1983 27-1984 28-1977 28-1978 28-1979
#> -6.02857157 -9.62856957 -9.12856957 -4.55595871 -0.30595871 4.06074429
#> 28-1980 28-1981 28-1982 28-1983 29-1977 29-1978
#> 3.51074429 0.98574329 -4.24765471 0.55234029 -3.69285971 0.80714329
#> 29-1979 29-1980 29-1981 29-1982 29-1983 30-1976
#> 3.00714329 1.70714329 -2.44285971 -3.34285371 3.95714329 11.61428614
#> 30-1977 30-1978 30-1979 30-1980 30-1981 30-1982
#> 10.91428614 8.01428614 4.11428614 -4.78571386 -15.58571686 -14.28571386
#> 31-1976 31-1977 31-1978 31-1979 31-1980 31-1981
#> 0.27882886 2.99152886 4.43122886 7.07152886 -4.48757114 -5.09107114
#> 31-1982 32-1977 32-1978 32-1979 32-1980 32-1981
#> -5.19447314 -3.52024114 1.02975586 2.79645586 1.34645586 -3.12854014
#> 32-1982 32-1983 33-1976 33-1977 33-1978 33-1979
#> -3.16194214 4.63805586 -4.72857343 -0.52856843 4.27142857 3.87142857
#> 33-1980 33-1981 33-1982 34-1977 34-1978 34-1979
#> 1.67142857 -4.42856943 -0.12857443 -3.69285971 0.80714329 3.00714329
#> 34-1980 34-1981 34-1982 34-1983 35-1977 35-1978
#> 1.70714329 -2.44285971 -3.34285371 3.95714329 -4.21071200 0.13928600
#> 35-1979 35-1980 35-1981 35-1982 35-1983 36-1976
#> 3.63928600 2.78928600 -0.38571600 -3.88571600 1.91428600 -4.72857343
#> 36-1977 36-1978 36-1979 36-1980 36-1981 36-1982
#> -0.52856843 4.27142857 3.87142857 1.67142857 -4.42856943 -0.12857443
#> 37-1977 37-1978 37-1979 37-1980 37-1981 37-1982
#> 12.49285671 11.24285671 8.09285671 2.94285671 -6.43214029 -14.20714129
#> 37-1983 38-1976 38-1977 38-1978 38-1979 38-1980
#> -14.13214529 4.69570100 7.48850100 6.38340100 3.08780100 -1.47899900
#> 38-1981 38-1982 39-1977 39-1978 39-1979 39-1980
#> -8.73600300 -11.44040200 12.49285671 11.24285671 8.09285671 2.94285671
#> 39-1981 39-1982 39-1983 40-1976 40-1977 40-1978
#> -6.43214029 -14.20714129 -14.13214529 4.44588629 6.15958629 6.02898629
#> 40-1979 40-1980 40-1981 40-1982 41-1977 41-1978
#> 3.28098629 -0.96801371 -7.55241671 -11.39501471 12.49285671 11.24285671
#> 41-1979 41-1980 41-1981 41-1982 41-1983 42-1976
#> 8.09285671 2.94285671 -6.43214029 -14.20714129 -14.13214529 4.69570100
#> 42-1977 42-1978 42-1979 42-1980 42-1981 42-1982
#> 7.48850100 6.38340100 3.08780100 -1.47899900 -8.73600300 -11.44040200
#> 43-1977 43-1978 43-1979 43-1980 43-1981 43-1982
#> 14.03528686 14.25788686 11.51368686 5.78448686 -13.77111614 -15.88591514
#> 43-1983 44-1977 44-1978 44-1979 44-1980 44-1981
#> -15.93431614 12.49285671 11.24285671 8.09285671 2.94285671 -6.43214029
#> 44-1982 44-1983 45-1977 45-1978 45-1979 45-1980
#> -14.20714129 -14.13214529 14.03528686 14.25788686 11.51368686 5.78448686
#> 45-1981 45-1982 45-1983 46-1976 46-1977 46-1978
#> -13.77111614 -15.88591514 -15.93431614 12.63397157 14.23567157 10.32107157
#> 46-1979 46-1980 46-1981 46-1982 47-1976 47-1977
#> 11.08797157 -14.12962843 -16.69913243 -17.44992543 11.61428614 10.91428614
#> 47-1978 47-1979 47-1980 47-1981 47-1982 48-1976
#> 8.01428614 4.11428614 -4.78571386 -15.58571686 -14.28571386 12.63397157
#> 48-1977 48-1978 48-1979 48-1980 48-1981 48-1982
#> 14.23567157 10.32107157 11.08797157 -14.12962843 -16.69913243 -17.44992543
#> 49-1976 49-1977 49-1978 49-1979 49-1980 49-1981
#> 11.71785643 9.99285643 7.64285643 3.99285643 -3.65714357 -13.98214157
#> 49-1982 50-1976 50-1977 50-1978 50-1979 50-1980
#> -15.70714057 4.69570100 7.48850100 6.38340100 3.08780100 -1.47899900
#> 50-1981 50-1982 51-1976 51-1977 51-1978 51-1979
#> -8.73600300 -11.44040200 10.73907143 12.89757143 10.36207143 9.95857143
#> 51-1980 51-1981 51-1982 52-1976 52-1977 52-1978
#> -8.76292857 -16.99442957 -18.19992757 11.61428614 10.91428614 8.01428614
#> 52-1979 52-1980 52-1981 52-1982 53-1977 53-1978
#> 4.11428614 -4.78571386 -15.58571686 -14.28571386 12.49285671 11.24285671
#> 53-1979 53-1980 53-1981 53-1982 53-1983 54-1977
#> 8.09285671 2.94285671 -6.43214029 -14.20714129 -14.13214529 14.03528686
#> 54-1978 54-1979 54-1980 54-1981 54-1982 54-1983
#> 14.25788686 11.51368686 5.78448686 -13.77111614 -15.88591514 -15.93431614
#> 55-1976 55-1977 55-1978 55-1979 55-1980 55-1981
#> 11.61428614 10.91428614 8.01428614 4.11428614 -4.78571386 -15.58571686
#> 55-1982 56-1976 56-1977 56-1978 56-1979 56-1980
#> -14.28571386 12.63397157 14.23567157 10.32107157 11.08797157 -14.12962843
#> 56-1981 56-1982 57-1977 57-1978 57-1979 57-1980
#> -16.69913243 -17.44992543 10.33554357 12.66834357 11.35914357 5.81364357
#> 57-1981 57-1982 57-1983 58-1976 58-1977 58-1978
#> -9.42685943 -15.27815543 -15.47165943 11.61428614 10.91428614 8.01428614
#> 58-1979 58-1980 58-1981 58-1982 59-1977 59-1978
#> 4.11428614 -4.78571386 -15.58571686 -14.28571386 10.33554357 12.66834357
#> 59-1979 59-1980 59-1981 59-1982 59-1983 60-1976
#> 11.35914357 5.81364357 -9.42685943 -15.27815543 -15.47165943 1.47111400
#> 60-1977 60-1978 60-1979 60-1980 60-1981 60-1982
#> 4.60841400 7.16651400 9.63871400 -2.29578600 -9.10958300 -11.47938700
#> 61-1977 61-1978 61-1979 61-1980 61-1981 61-1982
#> 2.61561471 5.60811471 8.14481471 7.01531471 -3.63898529 -9.34188829
#> 61-1983 62-1977 62-1978 62-1979 62-1980 62-1981
#> -10.40298529 10.33554357 12.66834357 11.35914357 5.81364357 -9.42685943
#> 62-1982 62-1983 63-1976 63-1977 63-1978 63-1979
#> -15.27815543 -15.47165943 6.94285686 6.04285686 8.74285686 7.84285686
#> 63-1980 63-1981 63-1982 64-1976 64-1977 64-1978
#> -3.15714314 -14.15714314 -12.25714114 6.94285686 6.04285686 8.74285686
#> 64-1979 64-1980 64-1981 64-1982 65-1976 65-1977
#> 7.84285686 -3.15714314 -14.15714314 -12.25714114 6.94285686 6.04285686
#> 65-1978 65-1979 65-1980 65-1981 65-1982 66-1977
#> 8.74285686 7.84285686 -3.15714314 -14.15714314 -12.25714114 7.29642857
#> 66-1978 66-1979 66-1980 66-1981 66-1982 66-1983
#> 7.29642857 9.09642857 5.67142857 -5.32857143 -13.10357343 -10.92856943
#> 67-1976 67-1977 67-1978 67-1979 67-1980 67-1981
#> 8.65339957 12.18599957 10.91909957 9.48319957 -8.39140043 -15.72929843
#> 67-1982 68-1976 68-1977 68-1978 68-1979 68-1980
#> -17.12099943 6.94285686 6.04285686 8.74285686 7.84285686 -3.15714314
#> 68-1981 68-1982 69-1977 69-1978 69-1979 69-1980
#> -14.15714314 -12.25714114 7.29642857 7.29642857 9.09642857 5.67142857
#> 69-1981 69-1982 69-1983 70-1977 70-1978 70-1979
#> -5.32857143 -13.10357343 -10.92856943 2.61561471 5.60811471 8.14481471
#> 70-1980 70-1981 70-1982 70-1983 71-1976 71-1977
#> 7.01531471 -3.63898529 -9.34188829 -10.40298529 -0.05134300 3.53825700
#> 71-1978 71-1979 71-1980 71-1981 71-1982 72-1976
#> 6.24115700 8.73485700 0.40195700 -7.69204000 -11.17284500 1.47111400
#> 72-1977 72-1978 72-1979 72-1980 72-1981 72-1982
#> 4.60841400 7.16651400 9.63871400 -2.29578600 -9.10958300 -11.47938700
#> 73-1977 73-1978 73-1979 73-1980 73-1981 73-1982
#> 2.61561471 5.60811471 8.14481471 7.01531471 -3.63898529 -9.34188829
#> 73-1983 74-1977 74-1978 74-1979 74-1980 74-1981
#> -10.40298529 2.61561471 5.60811471 8.14481471 7.01531471 -3.63898529
#> 74-1982 74-1983 75-1976 75-1977 75-1978 75-1979
#> -9.34188829 -10.40298529 1.47111400 4.60841400 7.16651400 9.63871400
#> 75-1980 75-1981 75-1982 76-1976 76-1977 76-1978
#> -2.29578600 -9.10958300 -11.47938700 -0.05134300 3.53825700 6.24115700
#> 76-1979 76-1980 76-1981 76-1982 77-1977 77-1978
#> 8.73485700 0.40195700 -7.69204000 -11.17284500 2.61561471 5.60811471
#> 77-1979 77-1980 77-1981 77-1982 77-1983 78-1976
#> 8.14481471 7.01531471 -3.63898529 -9.34188829 -10.40298529 -0.05134300
#> 78-1977 78-1978 78-1979 78-1980 78-1981 78-1982
#> 3.53825700 6.24115700 8.73485700 0.40195700 -7.69204000 -11.17284500
#> 79-1976 79-1977 79-1978 79-1979 79-1980 79-1981
#> -4.72857343 -0.52856843 4.27142857 3.87142857 1.67142857 -4.42856943
#> 79-1982 80-1976 80-1977 80-1978 80-1979 80-1980
#> -0.12857443 1.47111400 4.60841400 7.16651400 9.63871400 -2.29578600
#> 80-1981 80-1982 81-1976 81-1977 81-1978 81-1979
#> -9.10958300 -11.47938700 11.61428614 10.91428614 8.01428614 4.11428614
#> 81-1980 81-1981 81-1982 82-1976 82-1977 82-1978
#> -4.78571386 -15.58571686 -14.28571386 11.61428614 10.91428614 8.01428614
#> 82-1979 82-1980 82-1981 82-1982 83-1977 83-1978
#> 4.11428614 -4.78571386 -15.58571686 -14.28571386 14.03528686 14.25788686
#> 83-1979 83-1980 83-1981 83-1982 83-1983 84-1976
#> 11.51368686 5.78448686 -13.77111614 -15.88591514 -15.93431614 -3.65719771
#> 84-1977 84-1978 84-1979 84-1980 84-1981 84-1982
#> -1.93290171 0.28490229 2.03549929 1.86049929 0.35140029 1.05779829
#> 85-1976 85-1977 85-1978 85-1979 85-1980 85-1981
#> -4.41908729 -1.15238729 3.54761471 4.01431471 2.11431471 -3.33568329
#> 85-1982 86-1976 86-1977 86-1978 86-1979 86-1980
#> -0.76908629 -3.65719771 -1.93290171 0.28490229 2.03549929 1.86049929
#> 86-1981 86-1982 87-1976 87-1977 87-1978 87-1979
#> 0.35140029 1.05779829 11.61428614 10.91428614 8.01428614 4.11428614
#> 87-1980 87-1981 87-1982 88-1976 88-1977 88-1978
#> -4.78571386 -15.58571686 -14.28571386 6.94285686 6.04285686 8.74285686
#> 88-1979 88-1980 88-1981 88-1982 89-1976 89-1977
#> 7.84285686 -3.15714314 -14.15714314 -12.25714114 6.94285686 6.04285686
#> 89-1978 89-1979 89-1980 89-1981 89-1982 90-1976
#> 8.74285686 7.84285686 -3.15714314 -14.15714314 -12.25714114 6.21428529
#> 90-1977 90-1978 90-1979 90-1980 90-1981 90-1982
#> 5.58928529 7.38928529 7.38928529 -1.08571471 -12.08571471 -13.41071171
#> 91-1976 91-1977 91-1978 91-1979 91-1980 91-1981
#> 0.27882886 2.99152886 4.43122886 7.07152886 -4.48757114 -5.09107114
#> 91-1982 92-1976 92-1977 92-1978 92-1979 92-1980
#> -5.19447314 -3.49051229 -3.02381429 1.37618771 4.44288571 3.44288571
#> 92-1981 92-1982 93-1977 93-1978 93-1979 93-1980
#> -0.05711629 -2.69051629 -4.21071200 0.13928600 3.63928600 2.78928600
#> 93-1981 93-1982 93-1983 94-1976 94-1977 94-1978
#> -0.38571600 -3.88571600 1.91428600 11.71785643 9.99285643 7.64285643
#> 94-1979 94-1980 94-1981 94-1982 95-1976 95-1977
#> 3.99285643 -3.65714357 -13.98214157 -15.70714057 12.63397157 14.23567157
#> 95-1978 95-1979 95-1980 95-1981 95-1982 96-1976
#> 10.32107157 11.08797157 -14.12962843 -16.69913243 -17.44992543 12.63397157
#> 96-1977 96-1978 96-1979 96-1980 96-1981 96-1982
#> 14.23567157 10.32107157 11.08797157 -14.12962843 -16.69913243 -17.44992543
#> 97-1976 97-1977 97-1978 97-1979 97-1980 97-1981
#> 11.71785643 9.99285643 7.64285643 3.99285643 -3.65714357 -13.98214157
#> 97-1982 98-1977 98-1978 98-1979 98-1980 98-1981
#> -15.70714057 14.03528686 14.25788686 11.51368686 5.78448686 -13.77111614
#> 98-1982 98-1983 99-1977 99-1978 99-1979 99-1980
#> -15.88591514 -15.93431614 2.61561471 5.60811471 8.14481471 7.01531471
#> 99-1981 99-1982 99-1983 100-1977 100-1978 100-1979
#> -3.63898529 -9.34188829 -10.40298529 15.90370029 14.28760029 13.10390029
#> 100-1980 100-1981 100-1982 100-1983 101-1977 101-1978
#> -1.28689971 -13.29310071 -14.80169971 -13.91350071 10.33554357 12.66834357
#> 101-1979 101-1980 101-1981 101-1982 101-1983 102-1977
#> 11.35914357 5.81364357 -9.42685943 -15.27815543 -15.47165943 0.87395771
#> 102-1978 102-1979 102-1980 102-1981 102-1982 102-1983
#> 3.26835771 5.00825771 4.09865771 -4.72154429 -5.20004429 -3.32764229
#> 103-1976 103-1977 103-1978 103-1979 103-1980 103-1981
#> -4.72857343 -0.52856843 4.27142857 3.87142857 1.67142857 -4.42856943
#> 103-1982 104-1977 104-1978 104-1979 104-1980 104-1981
#> -0.12857443 -3.31511262 -1.57071262 0.59718738 1.35288838 0.27468538
#> 104-1982 104-1983 104-1984 105-1977 105-1978 105-1979
#> -0.39341262 0.98278837 2.07168838 -3.13482587 -1.01172487 0.82237513
#> 105-1980 105-1981 105-1982 105-1983 105-1984 106-1977
#> 0.83347513 -0.58942287 -0.15792688 1.06337513 2.17467513 -3.08976375
#> 106-1978 106-1979 106-1980 106-1981 106-1982 106-1983
#> -0.87195975 0.87863725 0.70363725 -0.80546175 -0.09906375 1.08353725
#> 106-1984 107-1977 107-1978 107-1979 107-1980 107-1981
#> 2.20043725 -3.36018800 -1.71048400 0.54091200 1.48271300 0.49071100
#> 107-1982 107-1983 107-1984 108-1977 108-1978 108-1979
#> -0.45229000 0.96271300 2.04591300 -3.36018800 -1.71048400 0.54091200
#> 108-1980 108-1981 108-1982 108-1983 108-1984 109-1977
#> 1.48271300 0.49071100 -0.45229000 0.96271300 2.04591300 -3.08976375
#> 109-1978 109-1979 109-1980 109-1981 109-1982 109-1983
#> -0.87195975 0.87863725 0.70363725 -0.80546175 -0.09906375 1.08353725
#> 109-1984 110-1977 110-1978 110-1979 110-1980 110-1981
#> 2.20043725 15.67810125 15.90070125 13.15650125 7.42730125 -12.12830175
#> 110-1982 110-1983 110-1984 111-1977 111-1978 111-1979
#> -14.24310075 -14.29150175 -11.49970075 15.31250063 13.51250063 10.11250063
#> 111-1980 111-1981 111-1982 111-1983 111-1984 112-1977
#> 3.71250063 -6.13750137 -10.88750137 -12.03750237 -13.58749737 7.55007488
#> 112-1978 112-1979 112-1980 112-1981 112-1982 112-1983
#> 9.36837488 7.71567488 4.10227488 -1.13702612 -7.25592312 -9.47992212
#> 112-1984 113-1976 113-1977 113-1978 113-1979 113-1980
#> -10.86352812 -5.22812800 -2.42812500 2.22187500 3.12187500 1.37187500
#> 113-1981 113-1982 113-1983 114-1977 114-1978 114-1979
#> -3.75312200 -2.05312500 6.74687500 16.29372437 15.02682438 13.59092438
#> 114-1980 114-1981 114-1982 114-1983 114-1984 115-1977
#> -4.28367563 -11.62157362 -13.01327462 -9.61227363 -6.38067562 16.29372437
#> 115-1978 115-1979 115-1980 115-1981 115-1982 115-1983
#> 15.02682438 13.59092438 -4.28367563 -11.62157362 -13.01327462 -9.61227363
#> 115-1984 116-1977 116-1978 116-1979 116-1980 116-1981
#> -6.38067562 11.35598825 14.08858825 12.79358825 8.61788825 -7.50061175
#> 116-1982 116-1983 116-1984 117-1977 117-1978 117-1979
#> -13.84741275 -14.44041575 -11.06761275 1.57952525 3.01922525 5.65952525
#> 117-1980 117-1981 117-1982 117-1983 117-1984 118-1976
#> -5.89957475 -6.50307475 -6.60647675 1.19332525 7.55752525 8.30348800
#> 118-1977 118-1978 118-1979 118-1980 118-1981 118-1982
#> 9.71008800 11.64288800 10.31968800 3.40418800 -10.95821100 -16.31401600
#> 118-1983 119-1977 119-1978 119-1979 119-1980 119-1981
#> -16.10811300 8.34687462 8.34687462 10.14687462 6.72187462 -4.27812538
#> 119-1982 119-1983 119-1984 120-1977 120-1978 120-1979
#> -12.05312738 -9.87812338 -7.35312237 4.81687425 7.61627425 10.12427425
#> 120-1980 120-1981 120-1982 120-1983 120-1984 121-1977
#> 4.19257425 -4.75482675 -8.97632375 -8.29262275 -4.72622375 3.52030075
#> 121-1978 121-1979 121-1980 121-1981 121-1982 121-1983
#> 6.51280075 9.04950075 7.92000075 -2.73429925 -8.43720225 -9.49829925
#> 121-1984 122-1976 122-1977 122-1978 122-1979 122-1980
#> -6.33280225 2.54792513 5.68522513 8.24332512 10.71552512 -1.21897488
#> 122-1981 122-1982 122-1983 123-1976 123-1977 123-1978
#> -8.03277187 -10.40257587 -7.53767787 2.54792513 5.68522513 8.24332512
#> 123-1979 123-1980 123-1981 123-1982 123-1983 124-1977
#> 10.71552512 -1.21897488 -8.03277187 -10.40257587 -7.53767787 8.18229987
#> 124-1978 124-1979 124-1980 124-1981 124-1982 124-1983
#> 7.58229987 9.98229987 8.24059987 -2.75940213 -12.68439813 -10.69269813
#> 124-1984 125-1977 125-1978 125-1979 125-1980 125-1981
#> -7.85100113 10.86218763 13.99478763 12.71378762 9.90808762 -7.08851637
#> 125-1982 125-1983 125-1984 126-1977 126-1978 126-1979
#> -13.93080837 -14.92321037 -11.53631538 12.34347600 14.27627600 12.95307600
#> 126-1980 126-1981 126-1982 126-1983 126-1984 127-1976
#> 6.03757600 -8.32482300 -13.68062800 -13.47472500 -10.13022800 -4.27916422
#> 127-1977 127-1978 127-1979 127-1980 127-1981 127-1982
#> -2.55486822 -0.33706422 1.41353278 1.23853278 -0.27056622 0.43583178
#> 127-1983 127-1984 128-1976 128-1977 128-1978 128-1979
#> 1.61843278 2.73533278 -4.27916422 -2.55486822 -0.33706422 1.41353278
#> 128-1980 128-1981 128-1982 128-1983 128-1984 129-1976
#> 1.23853278 -0.27056622 0.43583178 1.61843278 2.73533278 -4.27916422
#> 129-1977 129-1978 129-1979 129-1980 129-1981 129-1982
#> -2.55486822 -0.33706422 1.41353278 1.23853278 -0.27056622 0.43583178
#> 129-1983 129-1984 130-1976 130-1977 130-1978 130-1979
#> 1.61843278 2.73533278 -3.42452244 1.60097756 3.35897756 5.69907756
#> 130-1980 130-1981 130-1982 130-1983 130-1984 131-1976
#> -2.31012244 -5.65252144 -5.88102144 -0.05702244 6.66617756 2.93351089
#> 131-1977 131-1978 131-1979 131-1980 131-1981 131-1982
#> 6.07081089 8.62891089 11.10111089 -0.83338911 -7.64718611 -10.01699011
#> 131-1983 131-1984 132-1976 132-1977 132-1978 132-1979
#> -7.15209211 -3.08468611 15.49972211 17.10142211 13.18682211 13.95372211
#> 132-1980 132-1981 132-1982 132-1983 132-1984 133-1976
#> -11.26387789 -13.83338189 -14.58417489 -12.52527589 -7.53497789 15.79444333
#> 133-1977 133-1978 133-1979 133-1980 133-1981 133-1982
#> 14.06944333 11.71944333 8.06944333 0.41944333 -9.90555467 -11.63055367
#> 133-1983 133-1984 134-1976 134-1977 134-1978 134-1979
#> -14.00555367 -14.53055467 11.34322167 14.87582167 13.60892167 12.17302167
#> 134-1980 134-1981 134-1982 134-1983 134-1984 135-1976
#> -5.70157833 -13.03947633 -14.43117733 -11.03017633 -7.79857833 10.73513378
#> 135-1977 135-1978 135-1979 135-1980 135-1981 135-1982
#> 13.47053378 13.40343378 12.00983378 -1.75506622 -11.72716922 -14.60546522
#> 135-1983 135-1984 136-1976 136-1977 136-1978 136-1979
#> -12.40256822 -9.12866622 11.34322167 14.87582167 13.60892167 12.17302167
#> 136-1980 136-1981 136-1982 136-1983 136-1984 137-1976
#> -5.70157833 -13.03947633 -14.43117733 -11.03017633 -7.79857833 8.41388856
#> 137-1977 137-1978 137-1979 137-1980 137-1981 137-1982
#> 7.78888856 9.58888856 9.58888856 1.11388856 -9.88611144 -11.21110844
#> 137-1983 137-1984 138-1976 138-1977 138-1978 138-1979
#> -8.48610944 -6.91111344 0.82291044 4.71401044 7.51341044 10.02141044
#> 138-1980 138-1981 138-1982 138-1983 138-1984 139-1976
#> 4.08971044 -4.85769056 -9.07918756 -8.39548656 -4.82908756 1.66715633
#> 139-1977 139-1978 139-1979 139-1980 139-1981 139-1982
#> 5.25675633 7.95965633 10.45335633 2.12045633 -5.97354067 -9.45434567
#> 139-1983 139-1984 140-1976 140-1977 140-1978 140-1979
#> -7.89814767 -4.13134767 -1.00726644 1.70543356 3.14513356 5.78543356
#> 140-1980 140-1981 140-1982 140-1983 140-1984
#> -5.77366644 -6.37716644 -6.48056844 1.31923356 7.68343356
# Between and Sum replicate the values for each time observation
Between(z)
#> 1 1 1 1 1 1 1 2
#> 98.77511 98.77511 98.77511 98.77511 98.77511 98.77511 98.77511 98.77511
#> 2 2 2 2 2 2 3 3
#> 98.77511 98.77511 98.77511 98.77511 98.77511 98.77511 98.77511 98.77511
#> 3 3 3 3 3 4 4 4
#> 98.77511 98.77511 98.77511 98.77511 98.77511 107.32600 107.32600 107.32600
#> 4 4 4 4 5 5 5 5
#> 107.32600 107.32600 107.32600 107.32600 98.40861 98.40861 98.40861 98.40861
#> 5 5 5 6 6 6 6 6
#> 98.40861 98.40861 98.40861 104.33301 104.33301 104.33301 104.33301 104.33301
#> 6 6 7 7 7 7 7 7
#> 104.33301 104.33301 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757
#> 7 8 8 8 8 8 8 8
#> 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757
#> 9 9 9 9 9 9 9 10
#> 104.33301 104.33301 104.33301 104.33301 104.33301 104.33301 104.33301 98.57998
#> 10 10 10 10 10 10 11 11
#> 98.57998 98.57998 98.57998 98.57998 98.57998 98.57998 104.48757 104.48757
#> 11 11 11 11 11 12 12 12
#> 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757
#> 12 12 12 12 13 13 13 13
#> 104.48757 104.48757 104.48757 104.48757 115.06733 115.06733 115.06733 115.06733
#> 13 13 13 14 14 14 14 14
#> 115.06733 115.06733 115.06733 109.24617 109.24617 109.24617 109.24617 109.24617
#> 14 14 15 15 15 15 15 15
#> 109.24617 109.24617 101.57539 101.57539 101.57539 101.57539 101.57539 101.57539
#> 15 16 16 16 16 16 16 16
#> 101.57539 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 17 17 17 17 17 17 17 18
#> 113.12871 113.12871 113.12871 113.12871 113.12871 113.12871 113.12871 103.73214
#> 18 18 18 18 18 18 19 19
#> 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214 104.78571 104.78571
#> 19 19 19 19 19 20 20 20
#> 104.78571 104.78571 104.78571 104.78571 104.78571 103.73214 103.73214 103.73214
#> 20 20 20 20 21 21 21 21
#> 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214
#> 21 21 21 22 22 22 22 22
#> 103.73214 103.73214 103.73214 104.78571 104.78571 104.78571 104.78571 104.78571
#> 22 22 23 23 23 23 23 23
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 23 24 24 24 24 24 24 24
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 25 25 25 25 25 25 25 26
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 26 26 26 26 26 26 27 27
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 96.52857 96.52857
#> 27 27 27 27 27 28 28 28
#> 96.52857 96.52857 96.52857 96.52857 96.52857 98.50596 98.50596 98.50596
#> 28 28 28 28 29 29 29 29
#> 98.50596 98.50596 98.50596 98.50596 99.39286 99.39286 99.39286 99.39286
#> 29 29 29 30 30 30 30 30
#> 99.39286 99.39286 99.39286 104.78571 104.78571 104.78571 104.78571 104.78571
#> 30 30 31 31 31 31 31 31
#> 104.78571 104.78571 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757
#> 31 32 32 32 32 32 32 32
#> 104.48757 99.57024 99.57024 99.57024 99.57024 99.57024 99.57024 99.57024
#> 33 33 33 33 33 33 33 34
#> 98.32857 98.32857 98.32857 98.32857 98.32857 98.32857 98.32857 99.39286
#> 34 34 34 34 34 34 35 35
#> 99.39286 99.39286 99.39286 99.39286 99.39286 99.39286 98.86071 98.86071
#> 35 35 35 35 35 36 36 36
#> 98.86071 98.86071 98.86071 98.86071 98.86071 98.32857 98.32857 98.32857
#> 36 36 36 36 37 37 37 37
#> 98.32857 98.32857 98.32857 98.32857 103.73214 103.73214 103.73214 103.73214
#> 37 37 37 38 38 38 38 38
#> 103.73214 103.73214 103.73214 101.47900 101.47900 101.47900 101.47900 101.47900
#> 38 38 39 39 39 39 39 39
#> 101.47900 101.47900 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214
#> 39 40 40 40 40 40 40 40
#> 103.73214 102.10971 102.10971 102.10971 102.10971 102.10971 102.10971 102.10971
#> 41 41 41 41 41 41 41 42
#> 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214 101.47900
#> 42 42 42 42 42 42 43 43
#> 101.47900 101.47900 101.47900 101.47900 101.47900 101.47900 113.12871 113.12871
#> 43 43 43 43 43 44 44 44
#> 113.12871 113.12871 113.12871 113.12871 113.12871 103.73214 103.73214 103.73214
#> 44 44 44 44 45 45 45 45
#> 103.73214 103.73214 103.73214 103.73214 113.12871 113.12871 113.12871 113.12871
#> 45 45 45 46 46 46 46 46
#> 113.12871 113.12871 113.12871 114.12963 114.12963 114.12963 114.12963 114.12963
#> 46 46 47 47 47 47 47 47
#> 114.12963 114.12963 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 47 48 48 48 48 48 48 48
#> 104.78571 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963
#> 49 49 49 49 49 49 49 50
#> 105.88214 105.88214 105.88214 105.88214 105.88214 105.88214 105.88214 101.47900
#> 50 50 50 50 50 50 51 51
#> 101.47900 101.47900 101.47900 101.47900 101.47900 101.47900 115.06733 115.06733
#> 51 51 51 51 51 52 52 52
#> 115.06733 115.06733 115.06733 115.06733 115.06733 104.78571 104.78571 104.78571
#> 52 52 52 52 53 53 53 53
#> 104.78571 104.78571 104.78571 104.78571 103.73214 103.73214 103.73214 103.73214
#> 53 53 53 54 54 54 54 54
#> 103.73214 103.73214 103.73214 113.12871 113.12871 113.12871 113.12871 113.12871
#> 54 54 55 55 55 55 55 55
#> 113.12871 113.12871 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 55 56 56 56 56 56 56 56
#> 104.78571 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963
#> 57 57 57 57 57 57 57 58
#> 107.59236 107.59236 107.59236 107.59236 107.59236 107.59236 107.59236 104.78571
#> 58 58 58 58 58 58 59 59
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 107.59236 107.59236
#> 59 59 59 59 59 60 60 60
#> 107.59236 107.59236 107.59236 107.59236 107.59236 102.29579 102.29579 102.29579
#> 60 60 60 60 61 61 61 61
#> 102.29579 102.29579 102.29579 102.29579 101.93559 101.93559 101.93559 101.93559
#> 61 61 61 62 62 62 62 62
#> 101.93559 101.93559 101.93559 107.59236 107.59236 107.59236 107.59236 107.59236
#> 62 62 63 63 63 63 63 63
#> 107.59236 107.59236 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714
#> 63 64 64 64 64 64 64 64
#> 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714
#> 65 65 65 65 65 65 65 66
#> 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 102.57857
#> 66 66 66 66 66 66 67 67
#> 102.57857 102.57857 102.57857 102.57857 102.57857 102.57857 108.39140 108.39140
#> 67 67 67 67 67 68 68 68
#> 108.39140 108.39140 108.39140 108.39140 108.39140 103.15714 103.15714 103.15714
#> 68 68 68 68 69 69 69 69
#> 103.15714 103.15714 103.15714 103.15714 102.57857 102.57857 102.57857 102.57857
#> 69 69 69 70 70 70 70 70
#> 102.57857 102.57857 102.57857 101.93559 101.93559 101.93559 101.93559 101.93559
#> 70 70 71 71 71 71 71 71
#> 101.93559 101.93559 102.58164 102.58164 102.58164 102.58164 102.58164 102.58164
#> 71 72 72 72 72 72 72 72
#> 102.58164 102.29579 102.29579 102.29579 102.29579 102.29579 102.29579 102.29579
#> 73 73 73 73 73 73 73 74
#> 101.93559 101.93559 101.93559 101.93559 101.93559 101.93559 101.93559 101.93559
#> 74 74 74 74 74 74 75 75
#> 101.93559 101.93559 101.93559 101.93559 101.93559 101.93559 102.29579 102.29579
#> 75 75 75 75 75 76 76 76
#> 102.29579 102.29579 102.29579 102.29579 102.29579 102.58164 102.58164 102.58164
#> 76 76 76 76 77 77 77 77
#> 102.58164 102.58164 102.58164 102.58164 101.93559 101.93559 101.93559 101.93559
#> 77 77 77 78 78 78 78 78
#> 101.93559 101.93559 101.93559 102.58164 102.58164 102.58164 102.58164 102.58164
#> 78 78 79 79 79 79 79 79
#> 102.58164 102.58164 98.32857 98.32857 98.32857 98.32857 98.32857 98.32857
#> 79 80 80 80 80 80 80 80
#> 98.32857 102.29579 102.29579 102.29579 102.29579 102.29579 102.29579 102.29579
#> 81 81 81 81 81 81 81 82
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 82 82 82 82 82 82 83 83
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 113.12871 113.12871
#> 83 83 83 83 83 84 84 84
#> 113.12871 113.12871 113.12871 113.12871 113.12871 98.32290 98.32290 98.32290
#> 84 84 84 84 85 85 85 85
#> 98.32290 98.32290 98.32290 98.32290 98.25239 98.25239 98.25239 98.25239
#> 85 85 85 86 86 86 86 86
#> 98.25239 98.25239 98.25239 98.32290 98.32290 98.32290 98.32290 98.32290
#> 86 86 87 87 87 87 87 87
#> 98.32290 98.32290 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 87 88 88 88 88 88 88 88
#> 104.78571 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714
#> 89 89 89 89 89 89 89 90
#> 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 103.83571
#> 90 90 90 90 90 90 91 91
#> 103.83571 103.83571 103.83571 103.83571 103.83571 103.83571 104.48757 104.48757
#> 91 91 91 91 91 92 92 92
#> 104.48757 104.48757 104.48757 104.48757 104.48757 98.02381 98.02381 98.02381
#> 92 92 92 92 93 93 93 93
#> 98.02381 98.02381 98.02381 98.02381 98.86071 98.86071 98.86071 98.86071
#> 93 93 93 94 94 94 94 94
#> 98.86071 98.86071 98.86071 105.88214 105.88214 105.88214 105.88214 105.88214
#> 94 94 95 95 95 95 95 95
#> 105.88214 105.88214 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963
#> 95 96 96 96 96 96 96 96
#> 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963
#> 97 97 97 97 97 97 97 98
#> 105.88214 105.88214 105.88214 105.88214 105.88214 105.88214 105.88214 113.12871
#> 98 98 98 98 98 98 99 99
#> 113.12871 113.12871 113.12871 113.12871 113.12871 113.12871 101.93559 101.93559
#> 99 99 99 99 99 100 100 100
#> 101.93559 101.93559 101.93559 101.93559 101.93559 111.79420 111.79420 111.79420
#> 100 100 100 100 101 101 101 101
#> 111.79420 111.79420 111.79420 111.79420 107.59236 107.59236 107.59236 107.59236
#> 101 101 101 102 102 102 102 102
#> 107.59236 107.59236 107.59236 104.57064 104.57064 104.57064 104.57064 104.57064
#> 102 102 103 103 103 103 103 103
#> 104.57064 104.57064 98.32857 98.32857 98.32857 98.32857 98.32857 98.32857
#> 103 104 104 104 104 104 104 104
#> 98.32857 99.13611 99.13611 99.13611 99.13611 99.13611 99.13611 99.13611
#> 104 105 105 105 105 105 105 105
#> 99.13611 99.41102 99.41102 99.41102 99.41102 99.41102 99.41102 99.41102
#> 105 106 106 106 106 106 106 106
#> 99.41102 99.47976 99.47976 99.47976 99.47976 99.47976 99.47976 99.47976
#> 106 107 107 107 107 107 107 107
#> 99.47976 99.06739 99.06739 99.06739 99.06739 99.06739 99.06739 99.06739
#> 107 108 108 108 108 108 108 108
#> 99.06739 99.06739 99.06739 99.06739 99.06739 99.06739 99.06739 99.06739
#> 108 109 109 109 109 109 109 109
#> 99.06739 99.47976 99.47976 99.47976 99.47976 99.47976 99.47976 99.47976
#> 109 110 110 110 110 110 110 110
#> 99.47976 111.48590 111.48590 111.48590 111.48590 111.48590 111.48590 111.48590
#> 110 111 111 111 111 111 111 111
#> 111.48590 100.73750 100.73750 100.73750 100.73750 100.73750 100.73750 100.73750
#> 111 112 112 112 112 112 112 112
#> 100.73750 99.32283 99.32283 99.32283 99.32283 99.32283 99.32283 99.32283
#> 112 113 113 113 113 113 113 113
#> 99.32283 99.17812 99.17812 99.17812 99.17812 99.17812 99.17812 99.17812
#> 113 114 114 114 114 114 114 114
#> 99.17812 104.28368 104.28368 104.28368 104.28368 104.28368 104.28368 104.28368
#> 114 115 115 115 115 115 115 115
#> 104.28368 104.28368 104.28368 104.28368 104.28368 104.28368 104.28368 104.28368
#> 115 116 116 116 116 116 116 116
#> 104.28368 106.27761 106.27761 106.27761 106.27761 106.27761 106.27761 106.27761
#> 116 117 117 117 117 117 117 117
#> 106.27761 105.89957 105.89957 105.89957 105.89957 105.89957 105.89957 105.89957
#> 117 118 118 118 118 118 118 118
#> 105.89957 108.51221 108.51221 108.51221 108.51221 108.51221 108.51221 108.51221
#> 118 119 119 119 119 119 119 119
#> 108.51221 101.52813 101.52813 101.52813 101.52813 101.52813 101.52813 101.52813
#> 119 120 120 120 120 120 120 120
#> 101.52813 100.78013 100.78013 100.78013 100.78013 100.78013 100.78013 100.78013
#> 120 121 121 121 121 121 121 121
#> 100.78013 101.03090 101.03090 101.03090 101.03090 101.03090 101.03090 101.03090
#> 121 122 122 122 122 122 122 122
#> 101.03090 101.21897 101.21897 101.21897 101.21897 101.21897 101.21897 101.21897
#> 122 123 123 123 123 123 123 123
#> 101.21897 101.21897 101.21897 101.21897 101.21897 101.21897 101.21897 101.21897
#> 123 124 124 124 124 124 124 124
#> 101.21897 101.84270 101.84270 101.84270 101.84270 101.84270 101.84270 101.84270
#> 124 125 125 125 125 125 125 125
#> 101.84270 106.47701 106.47701 106.47701 106.47701 106.47701 106.47701 106.47701
#> 125 126 126 126 126 126 126 126
#> 106.47701 105.87882 105.87882 105.87882 105.87882 105.87882 105.87882 105.87882
#> 126 127 127 127 127 127 127 127
#> 105.87882 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487
#> 127 127 128 128 128 128 128 128
#> 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487
#> 128 128 128 129 129 129 129 129
#> 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487
#> 129 129 129 129 130 130 130 130
#> 98.94487 98.94487 98.94487 98.94487 105.19992 105.19992 105.19992 105.19992
#> 130 130 130 130 130 131 131 131
#> 105.19992 105.19992 105.19992 105.19992 105.19992 100.83339 100.83339 100.83339
#> 131 131 131 131 131 131 132 132
#> 100.83339 100.83339 100.83339 100.83339 100.83339 100.83339 111.26388 111.26388
#> 132 132 132 132 132 132 132 133
#> 111.26388 111.26388 111.26388 111.26388 111.26388 111.26388 111.26388 101.80556
#> 133 133 133 133 133 133 133 133
#> 101.80556 101.80556 101.80556 101.80556 101.80556 101.80556 101.80556 101.80556
#> 134 134 134 134 134 134 134 134
#> 105.70158 105.70158 105.70158 105.70158 105.70158 105.70158 105.70158 105.70158
#> 134 135 135 135 135 135 135 135
#> 105.70158 106.22377 106.22377 106.22377 106.22377 106.22377 106.22377 106.22377
#> 135 135 136 136 136 136 136 136
#> 106.22377 106.22377 105.70158 105.70158 105.70158 105.70158 105.70158 105.70158
#> 136 136 136 137 137 137 137 137
#> 105.70158 105.70158 105.70158 101.63611 101.63611 101.63611 101.63611 101.63611
#> 137 137 137 137 138 138 138 138
#> 101.63611 101.63611 101.63611 101.63611 100.88299 100.88299 100.88299 100.88299
#> 138 138 138 138 138 139 139 139
#> 100.88299 100.88299 100.88299 100.88299 100.88299 100.86314 100.86314 100.86314
#> 139 139 139 139 139 139 140 140
#> 100.86314 100.86314 100.86314 100.86314 100.86314 100.86314 105.77367 105.77367
#> 140 140 140 140 140 140 140
#> 105.77367 105.77367 105.77367 105.77367 105.77367 105.77367 105.77367
Sum(z)
#> 1 1 1 1 1 1 1 2
#> 691.4258 691.4258 691.4258 691.4258 691.4258 691.4258 691.4258 691.4258
#> 2 2 2 2 2 2 3 3
#> 691.4258 691.4258 691.4258 691.4258 691.4258 691.4258 691.4258 691.4258
#> 3 3 3 3 3 4 4 4
#> 691.4258 691.4258 691.4258 691.4258 691.4258 751.2820 751.2820 751.2820
#> 4 4 4 4 5 5 5 5
#> 751.2820 751.2820 751.2820 751.2820 688.8603 688.8603 688.8603 688.8603
#> 5 5 5 6 6 6 6 6
#> 688.8603 688.8603 688.8603 730.3311 730.3311 730.3311 730.3311 730.3311
#> 6 6 7 7 7 7 7 7
#> 730.3311 730.3311 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130
#> 7 8 8 8 8 8 8 8
#> 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130
#> 9 9 9 9 9 9 9 10
#> 730.3311 730.3311 730.3311 730.3311 730.3311 730.3311 730.3311 690.0599
#> 10 10 10 10 10 10 11 11
#> 690.0599 690.0599 690.0599 690.0599 690.0599 690.0599 731.4130 731.4130
#> 11 11 11 11 11 12 12 12
#> 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130
#> 12 12 12 12 13 13 13 13
#> 731.4130 731.4130 731.4130 731.4130 805.4713 805.4713 805.4713 805.4713
#> 13 13 13 14 14 14 14 14
#> 805.4713 805.4713 805.4713 764.7232 764.7232 764.7232 764.7232 764.7232
#> 14 14 15 15 15 15 15 15
#> 764.7232 764.7232 711.0277 711.0277 711.0277 711.0277 711.0277 711.0277
#> 15 16 16 16 16 16 16 16
#> 711.0277 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 17 17 17 17 17 17 17 18
#> 791.9010 791.9010 791.9010 791.9010 791.9010 791.9010 791.9010 726.1250
#> 18 18 18 18 18 18 19 19
#> 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250 733.5000 733.5000
#> 19 19 19 19 19 20 20 20
#> 733.5000 733.5000 733.5000 733.5000 733.5000 726.1250 726.1250 726.1250
#> 20 20 20 20 21 21 21 21
#> 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250
#> 21 21 21 22 22 22 22 22
#> 726.1250 726.1250 726.1250 733.5000 733.5000 733.5000 733.5000 733.5000
#> 22 22 23 23 23 23 23 23
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 23 24 24 24 24 24 24 24
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 25 25 25 25 25 25 25 26
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 26 26 26 26 26 26 27 27
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 675.7000 675.7000
#> 27 27 27 27 27 28 28 28
#> 675.7000 675.7000 675.7000 675.7000 675.7000 689.5417 689.5417 689.5417
#> 28 28 28 28 29 29 29 29
#> 689.5417 689.5417 689.5417 689.5417 695.7500 695.7500 695.7500 695.7500
#> 29 29 29 30 30 30 30 30
#> 695.7500 695.7500 695.7500 733.5000 733.5000 733.5000 733.5000 733.5000
#> 30 30 31 31 31 31 31 31
#> 733.5000 733.5000 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130
#> 31 32 32 32 32 32 32 32
#> 731.4130 696.9917 696.9917 696.9917 696.9917 696.9917 696.9917 696.9917
#> 33 33 33 33 33 33 33 34
#> 688.3000 688.3000 688.3000 688.3000 688.3000 688.3000 688.3000 695.7500
#> 34 34 34 34 34 34 35 35
#> 695.7500 695.7500 695.7500 695.7500 695.7500 695.7500 692.0250 692.0250
#> 35 35 35 35 35 36 36 36
#> 692.0250 692.0250 692.0250 692.0250 692.0250 688.3000 688.3000 688.3000
#> 36 36 36 36 37 37 37 37
#> 688.3000 688.3000 688.3000 688.3000 726.1250 726.1250 726.1250 726.1250
#> 37 37 37 38 38 38 38 38
#> 726.1250 726.1250 726.1250 710.3530 710.3530 710.3530 710.3530 710.3530
#> 38 38 39 39 39 39 39 39
#> 710.3530 710.3530 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250
#> 39 40 40 40 40 40 40 40
#> 726.1250 714.7680 714.7680 714.7680 714.7680 714.7680 714.7680 714.7680
#> 41 41 41 41 41 41 41 42
#> 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250 710.3530
#> 42 42 42 42 42 42 43 43
#> 710.3530 710.3530 710.3530 710.3530 710.3530 710.3530 791.9010 791.9010
#> 43 43 43 43 43 44 44 44
#> 791.9010 791.9010 791.9010 791.9010 791.9010 726.1250 726.1250 726.1250
#> 44 44 44 44 45 45 45 45
#> 726.1250 726.1250 726.1250 726.1250 791.9010 791.9010 791.9010 791.9010
#> 45 45 45 46 46 46 46 46
#> 791.9010 791.9010 791.9010 798.9074 798.9074 798.9074 798.9074 798.9074
#> 46 46 47 47 47 47 47 47
#> 798.9074 798.9074 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 47 48 48 48 48 48 48 48
#> 733.5000 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074
#> 49 49 49 49 49 49 49 50
#> 741.1750 741.1750 741.1750 741.1750 741.1750 741.1750 741.1750 710.3530
#> 50 50 50 50 50 50 51 51
#> 710.3530 710.3530 710.3530 710.3530 710.3530 710.3530 805.4713 805.4713
#> 51 51 51 51 51 52 52 52
#> 805.4713 805.4713 805.4713 805.4713 805.4713 733.5000 733.5000 733.5000
#> 52 52 52 52 53 53 53 53
#> 733.5000 733.5000 733.5000 733.5000 726.1250 726.1250 726.1250 726.1250
#> 53 53 53 54 54 54 54 54
#> 726.1250 726.1250 726.1250 791.9010 791.9010 791.9010 791.9010 791.9010
#> 54 54 55 55 55 55 55 55
#> 791.9010 791.9010 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 55 56 56 56 56 56 56 56
#> 733.5000 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074
#> 57 57 57 57 57 57 57 58
#> 753.1465 753.1465 753.1465 753.1465 753.1465 753.1465 753.1465 733.5000
#> 58 58 58 58 58 58 59 59
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 753.1465 753.1465
#> 59 59 59 59 59 60 60 60
#> 753.1465 753.1465 753.1465 753.1465 753.1465 716.0705 716.0705 716.0705
#> 60 60 60 60 61 61 61 61
#> 716.0705 716.0705 716.0705 716.0705 713.5491 713.5491 713.5491 713.5491
#> 61 61 61 62 62 62 62 62
#> 713.5491 713.5491 713.5491 753.1465 753.1465 753.1465 753.1465 753.1465
#> 62 62 63 63 63 63 63 63
#> 753.1465 753.1465 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000
#> 63 64 64 64 64 64 64 64
#> 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000
#> 65 65 65 65 65 65 65 66
#> 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 718.0500
#> 66 66 66 66 66 66 67 67
#> 718.0500 718.0500 718.0500 718.0500 718.0500 718.0500 758.7398 758.7398
#> 67 67 67 67 67 68 68 68
#> 758.7398 758.7398 758.7398 758.7398 758.7398 722.1000 722.1000 722.1000
#> 68 68 68 68 69 69 69 69
#> 722.1000 722.1000 722.1000 722.1000 718.0500 718.0500 718.0500 718.0500
#> 69 69 69 70 70 70 70 70
#> 718.0500 718.0500 718.0500 713.5491 713.5491 713.5491 713.5491 713.5491
#> 70 70 71 71 71 71 71 71
#> 713.5491 713.5491 718.0715 718.0715 718.0715 718.0715 718.0715 718.0715
#> 71 72 72 72 72 72 72 72
#> 718.0715 716.0705 716.0705 716.0705 716.0705 716.0705 716.0705 716.0705
#> 73 73 73 73 73 73 73 74
#> 713.5491 713.5491 713.5491 713.5491 713.5491 713.5491 713.5491 713.5491
#> 74 74 74 74 74 74 75 75
#> 713.5491 713.5491 713.5491 713.5491 713.5491 713.5491 716.0705 716.0705
#> 75 75 75 75 75 76 76 76
#> 716.0705 716.0705 716.0705 716.0705 716.0705 718.0715 718.0715 718.0715
#> 76 76 76 76 77 77 77 77
#> 718.0715 718.0715 718.0715 718.0715 713.5491 713.5491 713.5491 713.5491
#> 77 77 77 78 78 78 78 78
#> 713.5491 713.5491 713.5491 718.0715 718.0715 718.0715 718.0715 718.0715
#> 78 78 79 79 79 79 79 79
#> 718.0715 718.0715 688.3000 688.3000 688.3000 688.3000 688.3000 688.3000
#> 79 80 80 80 80 80 80 80
#> 688.3000 716.0705 716.0705 716.0705 716.0705 716.0705 716.0705 716.0705
#> 81 81 81 81 81 81 81 82
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 82 82 82 82 82 82 83 83
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 791.9010 791.9010
#> 83 83 83 83 83 84 84 84
#> 791.9010 791.9010 791.9010 791.9010 791.9010 688.2603 688.2603 688.2603
#> 84 84 84 84 85 85 85 85
#> 688.2603 688.2603 688.2603 688.2603 687.7667 687.7667 687.7667 687.7667
#> 85 85 85 86 86 86 86 86
#> 687.7667 687.7667 687.7667 688.2603 688.2603 688.2603 688.2603 688.2603
#> 86 86 87 87 87 87 87 87
#> 688.2603 688.2603 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 87 88 88 88 88 88 88 88
#> 733.5000 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000
#> 89 89 89 89 89 89 89 90
#> 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 726.8500
#> 90 90 90 90 90 90 91 91
#> 726.8500 726.8500 726.8500 726.8500 726.8500 726.8500 731.4130 731.4130
#> 91 91 91 91 91 92 92 92
#> 731.4130 731.4130 731.4130 731.4130 731.4130 686.1667 686.1667 686.1667
#> 92 92 92 92 93 93 93 93
#> 686.1667 686.1667 686.1667 686.1667 692.0250 692.0250 692.0250 692.0250
#> 93 93 93 94 94 94 94 94
#> 692.0250 692.0250 692.0250 741.1750 741.1750 741.1750 741.1750 741.1750
#> 94 94 95 95 95 95 95 95
#> 741.1750 741.1750 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074
#> 95 96 96 96 96 96 96 96
#> 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074
#> 97 97 97 97 97 97 97 98
#> 741.1750 741.1750 741.1750 741.1750 741.1750 741.1750 741.1750 791.9010
#> 98 98 98 98 98 98 99 99
#> 791.9010 791.9010 791.9010 791.9010 791.9010 791.9010 713.5491 713.5491
#> 99 99 99 99 99 100 100 100
#> 713.5491 713.5491 713.5491 713.5491 713.5491 782.5594 782.5594 782.5594
#> 100 100 100 100 101 101 101 101
#> 782.5594 782.5594 782.5594 782.5594 753.1465 753.1465 753.1465 753.1465
#> 101 101 101 102 102 102 102 102
#> 753.1465 753.1465 753.1465 731.9945 731.9945 731.9945 731.9945 731.9945
#> 102 102 103 103 103 103 103 103
#> 731.9945 731.9945 688.3000 688.3000 688.3000 688.3000 688.3000 688.3000
#> 103 104 104 104 104 104 104 104
#> 688.3000 793.0889 793.0889 793.0889 793.0889 793.0889 793.0889 793.0889
#> 104 105 105 105 105 105 105 105
#> 793.0889 795.2882 795.2882 795.2882 795.2882 795.2882 795.2882 795.2882
#> 105 106 106 106 106 106 106 106
#> 795.2882 795.8381 795.8381 795.8381 795.8381 795.8381 795.8381 795.8381
#> 106 107 107 107 107 107 107 107
#> 795.8381 792.5391 792.5391 792.5391 792.5391 792.5391 792.5391 792.5391
#> 107 108 108 108 108 108 108 108
#> 792.5391 792.5391 792.5391 792.5391 792.5391 792.5391 792.5391 792.5391
#> 108 109 109 109 109 109 109 109
#> 792.5391 795.8381 795.8381 795.8381 795.8381 795.8381 795.8381 795.8381
#> 109 110 110 110 110 110 110 110
#> 795.8381 891.8872 891.8872 891.8872 891.8872 891.8872 891.8872 891.8872
#> 110 111 111 111 111 111 111 111
#> 891.8872 805.9000 805.9000 805.9000 805.9000 805.9000 805.9000 805.9000
#> 111 112 112 112 112 112 112 112
#> 805.9000 794.5826 794.5826 794.5826 794.5826 794.5826 794.5826 794.5826
#> 112 113 113 113 113 113 113 113
#> 794.5826 793.4250 793.4250 793.4250 793.4250 793.4250 793.4250 793.4250
#> 113 114 114 114 114 114 114 114
#> 793.4250 834.2694 834.2694 834.2694 834.2694 834.2694 834.2694 834.2694
#> 114 115 115 115 115 115 115 115
#> 834.2694 834.2694 834.2694 834.2694 834.2694 834.2694 834.2694 834.2694
#> 115 116 116 116 116 116 116 116
#> 834.2694 850.2209 850.2209 850.2209 850.2209 850.2209 850.2209 850.2209
#> 116 117 117 117 117 117 117 117
#> 850.2209 847.1966 847.1966 847.1966 847.1966 847.1966 847.1966 847.1966
#> 117 118 118 118 118 118 118 118
#> 847.1966 868.0977 868.0977 868.0977 868.0977 868.0977 868.0977 868.0977
#> 118 119 119 119 119 119 119 119
#> 868.0977 812.2250 812.2250 812.2250 812.2250 812.2250 812.2250 812.2250
#> 119 120 120 120 120 120 120 120
#> 812.2250 806.2410 806.2410 806.2410 806.2410 806.2410 806.2410 806.2410
#> 120 121 121 121 121 121 121 121
#> 806.2410 808.2472 808.2472 808.2472 808.2472 808.2472 808.2472 808.2472
#> 121 122 122 122 122 122 122 122
#> 808.2472 809.7518 809.7518 809.7518 809.7518 809.7518 809.7518 809.7518
#> 122 123 123 123 123 123 123 123
#> 809.7518 809.7518 809.7518 809.7518 809.7518 809.7518 809.7518 809.7518
#> 123 124 124 124 124 124 124 124
#> 809.7518 814.7416 814.7416 814.7416 814.7416 814.7416 814.7416 814.7416
#> 124 125 125 125 125 125 125 125
#> 814.7416 851.8161 851.8161 851.8161 851.8161 851.8161 851.8161 851.8161
#> 125 126 126 126 126 126 126 126
#> 851.8161 847.0306 847.0306 847.0306 847.0306 847.0306 847.0306 847.0306
#> 126 127 127 127 127 127 127 127
#> 847.0306 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038
#> 127 127 128 128 128 128 128 128
#> 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038
#> 128 128 128 129 129 129 129 129
#> 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038
#> 129 129 129 129 130 130 130 130
#> 890.5038 890.5038 890.5038 890.5038 946.7993 946.7993 946.7993 946.7993
#> 130 130 130 130 130 131 131 131
#> 946.7993 946.7993 946.7993 946.7993 946.7993 907.5005 907.5005 907.5005
#> 131 131 131 131 131 131 132 132
#> 907.5005 907.5005 907.5005 907.5005 907.5005 907.5005 1001.3749 1001.3749
#> 132 132 132 132 132 132 132 133
#> 1001.3749 1001.3749 1001.3749 1001.3749 1001.3749 1001.3749 1001.3749 916.2500
#> 133 133 133 133 133 133 133 133
#> 916.2500 916.2500 916.2500 916.2500 916.2500 916.2500 916.2500 916.2500
#> 134 134 134 134 134 134 134 134
#> 951.3142 951.3142 951.3142 951.3142 951.3142 951.3142 951.3142 951.3142
#> 134 135 135 135 135 135 135 135
#> 951.3142 956.0139 956.0139 956.0139 956.0139 956.0139 956.0139 956.0139
#> 135 135 136 136 136 136 136 136
#> 956.0139 956.0139 951.3142 951.3142 951.3142 951.3142 951.3142 951.3142
#> 136 136 136 137 137 137 137 137
#> 951.3142 951.3142 951.3142 914.7250 914.7250 914.7250 914.7250 914.7250
#> 137 137 137 137 138 138 138 138
#> 914.7250 914.7250 914.7250 914.7250 907.9469 907.9469 907.9469 907.9469
#> 138 138 138 138 138 139 139 139
#> 907.9469 907.9469 907.9469 907.9469 907.9469 907.7683 907.7683 907.7683
#> 139 139 139 139 139 139 140 140
#> 907.7683 907.7683 907.7683 907.7683 907.7683 907.7683 951.9630 951.9630
#> 140 140 140 140 140 140 140
#> 951.9630 951.9630 951.9630 951.9630 951.9630 951.9630 951.9630
# between, Between, Within, and Sum transformations on other dimension
between(z, effect = "time")
#> 1976 1977 1978 1979 1980 1981 1982 1983
#> 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984
#> 98.42776
Between(z, effect = "time")
#> 1977 1978 1979 1980 1981 1982 1983 1977
#> 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 110.32734
#> 1978 1979 1980 1981 1982 1983 1977 1978
#> 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 110.32734 111.23714
#> 1979 1980 1981 1982 1983 1977 1978 1979
#> 111.06937 103.80583 95.70594 93.83759 95.36660 110.32734 111.23714 111.06937
#> 1980 1981 1982 1983 1976 1977 1978 1979
#> 103.80583 95.70594 93.83759 95.36660 108.98092 110.32734 111.23714 111.06937
#> 1980 1981 1982 1976 1977 1978 1979 1980
#> 103.80583 95.70594 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 95.70594 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1976 1977 1978 1979 1980 1981 1982 1976
#> 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 108.98092
#> 1977 1978 1979 1980 1981 1982 1976 1977
#> 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 108.98092 110.32734
#> 1978 1979 1980 1981 1982 1976 1977 1978
#> 111.23714 111.06937 103.80583 95.70594 93.83759 108.98092 110.32734 111.23714
#> 1979 1980 1981 1982 1976 1977 1978 1979
#> 111.06937 103.80583 95.70594 93.83759 108.98092 110.32734 111.23714 111.06937
#> 1980 1981 1982 1978 1979 1980 1981 1982
#> 103.80583 95.70594 93.83759 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1983 1984 1977 1978 1979 1980 1981 1982
#> 95.36660 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1983 1976 1977 1978 1979 1980 1981 1982
#> 95.36660 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1977 1978 1979 1980 1981 1982 1983 1977
#> 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 110.32734
#> 1978 1979 1980 1981 1982 1983 1976 1977
#> 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 108.98092 110.32734
#> 1978 1979 1980 1981 1982 1977 1978 1979
#> 111.23714 111.06937 103.80583 95.70594 93.83759 110.32734 111.23714 111.06937
#> 1980 1981 1982 1983 1977 1978 1979 1980
#> 103.80583 95.70594 93.83759 95.36660 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1983 1976 1977 1978 1979 1980
#> 95.70594 93.83759 95.36660 108.98092 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 95.70594 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1976 1977 1978 1979 1980 1981 1982 1976
#> 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 108.98092
#> 1977 1978 1979 1980 1981 1982 1978 1979
#> 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 111.23714 111.06937
#> 1980 1981 1982 1983 1984 1977 1978 1979
#> 103.80583 95.70594 93.83759 95.36660 98.42776 110.32734 111.23714 111.06937
#> 1980 1981 1982 1983 1977 1978 1979 1980
#> 103.80583 95.70594 93.83759 95.36660 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1983 1976 1977 1978 1979 1980
#> 95.70594 93.83759 95.36660 108.98092 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 95.70594 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1977 1978 1979 1980 1981 1982 1983
#> 93.83759 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1976 1977 1978 1979 1980 1981 1982 1977
#> 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 110.32734
#> 1978 1979 1980 1981 1982 1983 1977 1978
#> 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 110.32734 111.23714
#> 1979 1980 1981 1982 1983 1976 1977 1978
#> 111.06937 103.80583 95.70594 93.83759 95.36660 108.98092 110.32734 111.23714
#> 1979 1980 1981 1982 1977 1978 1979 1980
#> 111.06937 103.80583 95.70594 93.83759 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1983 1976 1977 1978 1979 1980
#> 95.70594 93.83759 95.36660 108.98092 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1977 1978 1979 1980 1981 1982
#> 95.70594 93.83759 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1983 1976 1977 1978 1979 1980 1981 1982
#> 95.36660 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1977 1978 1979 1980 1981 1982 1983 1976
#> 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 108.98092
#> 1977 1978 1979 1980 1981 1982 1977 1978
#> 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 110.32734 111.23714
#> 1979 1980 1981 1982 1983 1977 1978 1979
#> 111.06937 103.80583 95.70594 93.83759 95.36660 110.32734 111.23714 111.06937
#> 1980 1981 1982 1983 1977 1978 1979 1980
#> 103.80583 95.70594 93.83759 95.36660 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1983 1976 1977 1978 1979 1980
#> 95.70594 93.83759 95.36660 108.98092 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 95.70594 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1976 1977 1978 1979 1980 1981 1982 1976
#> 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 108.98092
#> 1977 1978 1979 1980 1981 1982 1976 1977
#> 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 108.98092 110.32734
#> 1978 1979 1980 1981 1982 1976 1977 1978
#> 111.23714 111.06937 103.80583 95.70594 93.83759 108.98092 110.32734 111.23714
#> 1979 1980 1981 1982 1977 1978 1979 1980
#> 111.06937 103.80583 95.70594 93.83759 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1983 1977 1978 1979 1980 1981
#> 95.70594 93.83759 95.36660 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1983 1976 1977 1978 1979 1980 1981
#> 93.83759 95.36660 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1977 1978 1979 1980 1981 1982 1983 1976
#> 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 108.98092
#> 1977 1978 1979 1980 1981 1982 1977 1978
#> 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 110.32734 111.23714
#> 1979 1980 1981 1982 1983 1976 1977 1978
#> 111.06937 103.80583 95.70594 93.83759 95.36660 108.98092 110.32734 111.23714
#> 1979 1980 1981 1982 1977 1978 1979 1980
#> 111.06937 103.80583 95.70594 93.83759 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1983 1977 1978 1979 1980 1981
#> 95.70594 93.83759 95.36660 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1983 1976 1977 1978 1979 1980 1981
#> 93.83759 95.36660 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1976 1977 1978 1979 1980 1981 1982 1977
#> 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 110.32734
#> 1978 1979 1980 1981 1982 1983 1976 1977
#> 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 108.98092 110.32734
#> 1978 1979 1980 1981 1982 1976 1977 1978
#> 111.23714 111.06937 103.80583 95.70594 93.83759 108.98092 110.32734 111.23714
#> 1979 1980 1981 1982 1977 1978 1979 1980
#> 111.06937 103.80583 95.70594 93.83759 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1983 1977 1978 1979 1980 1981
#> 95.70594 93.83759 95.36660 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1983 1976 1977 1978 1979 1980 1981
#> 93.83759 95.36660 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1977 1978 1979 1980 1981 1982 1983 1977
#> 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 110.32734
#> 1978 1979 1980 1981 1982 1983 1976 1977
#> 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 108.98092 110.32734
#> 1978 1979 1980 1981 1982 1976 1977 1978
#> 111.23714 111.06937 103.80583 95.70594 93.83759 108.98092 110.32734 111.23714
#> 1979 1980 1981 1982 1977 1978 1979 1980
#> 111.06937 103.80583 95.70594 93.83759 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1983 1976 1977 1978 1979 1980
#> 95.70594 93.83759 95.36660 108.98092 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 95.70594 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1976 1977 1978 1979 1980 1981 1982 1976
#> 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 108.98092
#> 1977 1978 1979 1980 1981 1982 1977 1978
#> 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 110.32734 111.23714
#> 1979 1980 1981 1982 1983 1976 1977 1978
#> 111.06937 103.80583 95.70594 93.83759 95.36660 108.98092 110.32734 111.23714
#> 1979 1980 1981 1982 1976 1977 1978 1979
#> 111.06937 103.80583 95.70594 93.83759 108.98092 110.32734 111.23714 111.06937
#> 1980 1981 1982 1976 1977 1978 1979 1980
#> 103.80583 95.70594 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 95.70594 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1976 1977 1978 1979 1980 1981 1982 1976
#> 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 108.98092
#> 1977 1978 1979 1980 1981 1982 1976 1977
#> 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 108.98092 110.32734
#> 1978 1979 1980 1981 1982 1976 1977 1978
#> 111.23714 111.06937 103.80583 95.70594 93.83759 108.98092 110.32734 111.23714
#> 1979 1980 1981 1982 1977 1978 1979 1980
#> 111.06937 103.80583 95.70594 93.83759 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1983 1976 1977 1978 1979 1980
#> 95.70594 93.83759 95.36660 108.98092 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 95.70594 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 93.83759 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1976 1977 1978 1979 1980 1981 1982 1977
#> 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 110.32734
#> 1978 1979 1980 1981 1982 1983 1977 1978
#> 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 110.32734 111.23714
#> 1979 1980 1981 1982 1983 1977 1978 1979
#> 111.06937 103.80583 95.70594 93.83759 95.36660 110.32734 111.23714 111.06937
#> 1980 1981 1982 1983 1977 1978 1979 1980
#> 103.80583 95.70594 93.83759 95.36660 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1983 1977 1978 1979 1980 1981
#> 95.70594 93.83759 95.36660 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1983 1976 1977 1978 1979 1980 1981
#> 93.83759 95.36660 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1977 1978 1979 1980 1981 1982 1983
#> 93.83759 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1976 1977 1978 1979 1980 1981 1982
#> 98.42776 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1983 1977 1978 1979 1980 1981 1982 1983
#> 95.36660 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1976 1977 1978 1979 1980 1981 1982
#> 98.42776 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1983 1977 1978 1979 1980 1981 1982 1983
#> 95.36660 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1976 1977 1978 1979 1980 1981 1982
#> 98.42776 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1983 1976 1977 1978 1979 1980 1981 1982
#> 95.36660 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1983 1977 1978 1979 1980 1981 1982 1983
#> 95.36660 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 98.42776 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1976 1977 1978 1979 1980 1981 1982
#> 98.42776 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1983 1984 1976 1977 1978 1979 1980 1981
#> 95.36660 98.42776 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1983 1984 1976 1977 1978 1979 1980
#> 93.83759 95.36660 98.42776 108.98092 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1983 1984 1976 1977 1978 1979
#> 95.70594 93.83759 95.36660 98.42776 108.98092 110.32734 111.23714 111.06937
#> 1980 1981 1982 1983 1984 1976 1977 1978
#> 103.80583 95.70594 93.83759 95.36660 98.42776 108.98092 110.32734 111.23714
#> 1979 1980 1981 1982 1983 1984 1976 1977
#> 111.06937 103.80583 95.70594 93.83759 95.36660 98.42776 108.98092 110.32734
#> 1978 1979 1980 1981 1982 1983 1984 1976
#> 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 98.42776 108.98092
#> 1977 1978 1979 1980 1981 1982 1983 1984
#> 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 98.42776
#> 1976 1977 1978 1979 1980 1981 1982 1983
#> 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660
#> 1984 1976 1977 1978 1979 1980 1981 1982
#> 98.42776 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594 93.83759
#> 1983 1984 1976 1977 1978 1979 1980 1981
#> 95.36660 98.42776 108.98092 110.32734 111.23714 111.06937 103.80583 95.70594
#> 1982 1983 1984 1976 1977 1978 1979 1980
#> 93.83759 95.36660 98.42776 108.98092 110.32734 111.23714 111.06937 103.80583
#> 1981 1982 1983 1984 1976 1977 1978 1979
#> 95.70594 93.83759 95.36660 98.42776 108.98092 110.32734 111.23714 111.06937
#> 1980 1981 1982 1983 1984 1976 1977 1978
#> 103.80583 95.70594 93.83759 95.36660 98.42776 108.98092 110.32734 111.23714
#> 1979 1980 1981 1982 1983 1984 1976 1977
#> 111.06937 103.80583 95.70594 93.83759 95.36660 98.42776 108.98092 110.32734
#> 1978 1979 1980 1981 1982 1983 1984
#> 111.23714 111.06937 103.80583 95.70594 93.83759 95.36660 98.42776
Within(z, effect = "time")
#> 1-1977 1-1978 1-1979 1-1980 1-1981 1-1982
#> -14.62013790 -13.88023366 -11.46106953 -3.25573357 3.85216057 4.77750734
#> 1-1983 2-1977 2-1978 2-1979 2-1980 2-1981
#> 4.66350056 -14.62013790 -13.88023366 -11.46106953 -3.25573357 3.85216057
#> 2-1982 2-1983 3-1977 3-1978 3-1979 3-1980
#> 4.77750734 4.66350056 -14.62013790 -13.88023366 -11.46106953 -3.25573357
#> 3-1981 3-1982 3-1983 4-1977 4-1978 4-1979
#> 3.85216057 4.77750734 4.66350056 7.89496310 8.91796334 7.76253147
#> 4-1980 4-1981 4-1982 4-1983 5-1976 5-1977
#> 8.11056643 1.84806357 -1.63939366 -2.96250044 -14.08181656 -13.82353790
#> 5-1978 5-1979 5-1980 5-1981 5-1982 6-1976
#> -12.42083766 -10.58586853 -3.68353357 2.82106257 5.67071134 -6.20851756
#> 6-1977 6-1978 6-1979 6-1980 6-1981 6-1982
#> -3.30033690 -2.55833666 0.04963147 -1.87933357 3.79116357 5.47271334
#> 7-1976 7-1977 7-1978 7-1979 7-1980 7-1981
#> -4.21451756 -2.84823690 -2.31833666 0.48973147 -3.80583357 3.69056257
#> 7-1982 8-1976 8-1977 8-1978 8-1979 8-1980
#> 5.45550834 -4.21451756 -2.84823690 -2.31833666 0.48973147 -3.80583357
#> 8-1981 8-1982 9-1976 9-1977 9-1978 9-1979
#> 3.69056257 5.45550834 -6.20851756 -3.30033690 -2.55833666 0.04963147
#> 9-1980 9-1981 9-1982 10-1976 10-1977 10-1978
#> -1.87933357 3.79116357 5.47271334 -13.61521756 -13.59583790 -12.00383766
#> 10-1979 10-1980 10-1981 10-1982 11-1976 11-1977
#> -10.33586853 -3.80583357 2.52646157 5.92590634 -4.21451756 -2.84823690
#> 11-1978 11-1979 11-1980 11-1981 11-1982 12-1976
#> -2.31833666 0.48973147 -3.80583357 3.69056257 5.45550834 -4.21451756
#> 12-1977 12-1978 12-1979 12-1980 12-1981 12-1982
#> -2.84823690 -2.31833666 0.48973147 -3.80583357 3.69056257 5.45550834
#> 13-1976 13-1977 13-1978 13-1979 13-1980 13-1981
#> 16.82548244 17.63756310 14.19226334 13.95653147 2.49856643 2.36696157
#> 13-1982 14-1978 14-1979 14-1980 14-1981 14-1982
#> 3.02981134 16.14946334 13.57303147 15.10736643 3.65165957 3.40520834
#> 14-1983 14-1984 15-1977 15-1978 15-1979 15-1980
#> 1.82779756 1.55844111 -4.99183690 -3.05383666 -0.37096853 2.16146643
#> 15-1981 15-1982 15-1983 16-1976 16-1977 16-1978
#> 0.88716457 -1.83629266 -3.11779744 7.41908244 5.37266310 1.56286334
#> 16-1979 16-1980 16-1981 16-1982 17-1977 17-1978
#> -2.16936853 -3.80583357 -6.50594043 -3.33758966 16.83666310 16.14946334
#> 17-1979 17-1980 17-1981 17-1982 17-1983 18-1977
#> 13.57303147 15.10736643 3.65165957 3.40520834 1.82779756 5.89766310
#> 18-1978 18-1979 18-1980 18-1981 18-1982 18-1983
#> 3.73786334 0.75563147 2.86916643 1.59406557 -4.31258766 -5.76660144
#> 19-1976 19-1977 19-1978 19-1979 19-1980 19-1981
#> 7.41908244 5.37266310 1.56286334 -2.16936853 -3.80583357 -6.50594043
#> 19-1982 20-1977 20-1978 20-1979 20-1980 20-1981
#> -3.33758966 5.89766310 3.73786334 0.75563147 2.86916643 1.59406557
#> 20-1982 20-1983 21-1977 21-1978 21-1979 21-1980
#> -4.31258766 -5.76660144 5.89766310 3.73786334 0.75563147 2.86916643
#> 21-1981 21-1982 21-1983 22-1976 22-1977 22-1978
#> 1.59406557 -4.31258766 -5.76660144 7.41908244 5.37266310 1.56286334
#> 22-1979 22-1980 22-1981 22-1982 23-1976 23-1977
#> -2.16936853 -3.80583357 -6.50594043 -3.33758966 7.41908244 5.37266310
#> 23-1978 23-1979 23-1980 23-1981 23-1982 24-1976
#> 1.56286334 -2.16936853 -3.80583357 -6.50594043 -3.33758966 7.41908244
#> 24-1977 24-1978 24-1979 24-1980 24-1981 24-1982
#> 5.37266310 1.56286334 -2.16936853 -3.80583357 -6.50594043 -3.33758966
#> 25-1976 25-1977 25-1978 25-1979 25-1980 25-1981
#> 7.41908244 5.37266310 1.56286334 -2.16936853 -3.80583357 -6.50594043
#> 25-1982 26-1976 26-1977 26-1978 26-1979 26-1980
#> -3.33758966 7.41908244 5.37266310 1.56286334 -2.16936853 -3.80583357
#> 26-1981 26-1982 27-1978 27-1979 27-1980 27-1981
#> -6.50594043 -3.33758966 1.56286334 -2.16936853 -3.80583357 -6.50594043
#> 27-1982 27-1983 27-1984 28-1977 28-1978 28-1979
#> -3.33758966 -8.46659744 -11.02775489 -16.37733990 -13.03713966 -8.50266853
#> 28-1980 28-1981 28-1982 28-1983 29-1977 29-1978
#> -1.78913357 3.78576157 0.42071134 3.69169656 -14.62733990 -11.03713666
#> 29-1979 29-1980 29-1981 29-1982 29-1983 30-1976
#> -8.66936853 -2.70583357 1.24405957 2.21241334 7.98340056 7.41908244
#> 30-1977 30-1978 30-1979 30-1980 30-1981 30-1982
#> 5.37266310 1.56286334 -2.16936853 -3.80583357 -6.50594043 -3.33758966
#> 31-1976 31-1977 31-1978 31-1979 31-1980 31-1981
#> -4.21451756 -2.84823690 -2.31833666 0.48973147 -3.80583357 3.69056257
#> 31-1982 32-1977 32-1978 32-1979 32-1980 32-1981
#> 5.45550834 -14.27733390 -10.63713666 -8.70266853 -2.88913357 0.73576657
#> 32-1982 32-1983 33-1976 33-1977 33-1978 33-1979
#> 2.57071234 8.84170056 -15.38091956 -12.52733390 -8.63713666 -8.86936853
#> 33-1980 33-1981 33-1982 34-1977 34-1978 34-1979
#> -3.80583357 -1.80593543 4.36240734 -14.62733990 -11.03713666 -8.66936853
#> 34-1980 34-1981 34-1982 34-1983 35-1977 35-1978
#> -2.70583357 1.24405957 2.21241334 7.98340056 -15.67733490 -12.23713666
#> 35-1979 35-1980 35-1981 35-1982 35-1983 36-1976
#> -8.56936853 -2.15583357 2.76906057 1.13740834 5.40840056 -15.38091956
#> 36-1977 36-1978 36-1979 36-1980 36-1981 36-1982
#> -12.52733390 -8.63713666 -8.86936853 -3.80583357 -1.80593543 4.36240734
#> 37-1977 37-1978 37-1979 37-1980 37-1981 37-1982
#> 5.89766310 3.73786334 0.75563147 2.86916643 1.59406557 -4.31258766
#> 37-1983 38-1976 38-1977 38-1978 38-1979 38-1980
#> -5.76660144 -2.80621756 -1.35983690 -3.37473666 -6.50256853 -3.80583357
#> 38-1981 38-1982 39-1977 39-1978 39-1979 39-1980
#> -2.96294143 -3.79899266 5.89766310 3.73786334 0.75563147 2.86916643
#> 39-1981 39-1982 39-1983 40-1976 40-1977 40-1978
#> 1.59406557 -4.31258766 -5.76660144 -2.42531756 -2.05803690 -3.09843666
#> 40-1979 40-1980 40-1981 40-1982 41-1977 41-1978
#> -5.67866853 -2.66413357 -1.14864043 -3.12289066 5.89766310 3.73786334
#> 41-1979 41-1980 41-1981 41-1982 41-1983 42-1976
#> 0.75563147 2.86916643 1.59406557 -4.31258766 -5.76660144 -2.80621756
#> 42-1977 42-1978 42-1979 42-1980 42-1981 42-1982
#> -1.35983690 -3.37473666 -6.50256853 -3.80583357 -2.96294143 -3.79899266
#> 43-1977 43-1978 43-1979 43-1980 43-1981 43-1982
#> 16.83666310 16.14946334 13.57303147 15.10736643 3.65165957 3.40520834
#> 43-1983 44-1977 44-1978 44-1979 44-1980 44-1981
#> 1.82779756 5.89766310 3.73786334 0.75563147 2.86916643 1.59406557
#> 44-1982 44-1983 45-1977 45-1978 45-1979 45-1980
#> -4.31258766 -5.76660144 16.83666310 16.14946334 13.57303147 15.10736643
#> 45-1981 45-1982 45-1983 46-1976 46-1977 46-1978
#> 3.65165957 3.40520834 1.82779756 17.78268244 18.03796310 13.21356334
#> 46-1979 46-1980 46-1981 46-1982 47-1976 47-1977
#> 14.14823147 -3.80583357 1.72455857 2.84211334 7.41908244 5.37266310
#> 47-1978 47-1979 47-1980 47-1981 47-1982 48-1976
#> 1.56286334 -2.16936853 -3.80583357 -6.50594043 -3.33758966 17.78268244
#> 48-1977 48-1978 48-1979 48-1980 48-1981 48-1982
#> 18.03796310 13.21356334 14.14823147 -3.80583357 1.72455857 2.84211334
#> 49-1976 49-1977 49-1978 49-1979 49-1980 49-1981
#> 8.61908244 5.54766310 2.28786334 -1.19436853 -1.58083357 -3.80593543
#> 49-1982 50-1976 50-1977 50-1978 50-1979 50-1980
#> -3.66258666 -2.80621756 -1.35983690 -3.37473666 -6.50256853 -3.80583357
#> 50-1981 50-1982 51-1976 51-1977 51-1978 51-1979
#> -2.96294143 -3.79899266 16.82548244 17.63756310 14.19226334 13.95653147
#> 51-1980 51-1981 51-1982 52-1976 52-1977 52-1978
#> 2.49856643 2.36696157 3.02981134 7.41908244 5.37266310 1.56286334
#> 52-1979 52-1980 52-1981 52-1982 53-1977 53-1978
#> -2.16936853 -3.80583357 -6.50594043 -3.33758966 5.89766310 3.73786334
#> 53-1979 53-1980 53-1981 53-1982 53-1983 54-1977
#> 0.75563147 2.86916643 1.59406557 -4.31258766 -5.76660144 16.83666310
#> 54-1978 54-1979 54-1980 54-1981 54-1982 54-1983
#> 16.14946334 13.57303147 15.10736643 3.65165957 3.40520834 1.82779756
#> 55-1976 55-1977 55-1978 55-1979 55-1980 55-1981
#> 7.41908244 5.37266310 1.56286334 -2.16936853 -3.80583357 -6.50594043
#> 55-1982 56-1976 56-1977 56-1978 56-1979 56-1980
#> -3.33758966 17.78268244 18.03796310 13.21356334 14.14823147 -3.80583357
#> 56-1981 56-1982 57-1977 57-1978 57-1979 57-1980
#> 1.72455857 2.84211334 7.60056310 9.02356334 7.88213147 9.60016643
#> 57-1981 57-1982 57-1983 58-1976 58-1977 58-1978
#> 2.45955957 -1.52338866 -3.24590244 7.41908244 5.37266310 1.56286334
#> 58-1979 58-1980 58-1981 58-1982 59-1977 59-1978
#> -2.16936853 -3.80583357 -6.50594043 -3.33758966 7.60056310 9.02356334
#> 59-1979 59-1980 59-1981 59-1982 59-1983 60-1976
#> 7.88213147 9.60016643 2.45955957 -1.52338866 -3.24590244 -5.21401756
#> 60-1977 60-1978 60-1979 60-1980 60-1981 60-1982
#> -3.42313690 -1.77483666 0.86513147 -3.80583357 -2.51973443 -3.02119066
#> 61-1977 61-1978 61-1979 61-1980 61-1981 61-1982
#> -5.77613690 -3.69343666 -0.98896853 5.14506643 2.59066257 -1.24389266
#> 61-1983 62-1977 62-1978 62-1979 62-1980 62-1981
#> -3.83399944 7.60056310 9.02356334 7.88213147 9.60016643 2.45955957
#> 62-1982 62-1983 63-1976 63-1977 63-1978 63-1979
#> -1.52338866 -3.24590244 1.11908244 -1.12733690 0.66286334 -0.06936853
#> 63-1980 63-1981 63-1982 64-1976 64-1977 64-1978
#> -3.80583357 -6.70593743 -2.93758766 1.11908244 -1.12733690 0.66286334
#> 64-1979 64-1980 64-1981 64-1982 65-1976 65-1977
#> -0.06936853 -3.80583357 -6.70593743 -2.93758766 1.11908244 -1.12733690
#> 65-1978 65-1979 65-1980 65-1981 65-1982 66-1977
#> 0.66286334 -0.06936853 -3.80583357 -6.70593743 -2.93758766 -0.45233690
#> 66-1978 66-1979 66-1980 66-1981 66-1982 66-1983
#> -1.36213666 0.60563147 4.44416643 1.54406257 -4.36259166 -3.71659744
#> 67-1976 67-1977 67-1978 67-1979 67-1980 67-1981
#> 8.06388244 10.25006310 8.07336334 6.80523147 -3.80583357 -3.04383543
#> 67-1982 68-1976 68-1977 68-1978 68-1979 68-1980
#> -2.56718866 1.11908244 -1.12733690 0.66286334 -0.06936853 -3.80583357
#> 68-1981 68-1982 69-1977 69-1978 69-1979 69-1980
#> -6.70593743 -2.93758766 -0.45233690 -1.36213666 0.60563147 4.44416643
#> 69-1981 69-1982 69-1983 70-1977 70-1978 70-1979
#> 1.54406257 -4.36259166 -3.71659744 -5.77613690 -3.69343666 -0.98896853
#> 70-1980 70-1981 70-1982 70-1983 71-1976 71-1977
#> 5.14506643 2.59066257 -1.24389266 -3.83399944 -6.45061756 -4.20743690
#> 71-1978 71-1979 71-1980 71-1981 71-1982 72-1976
#> -2.41433666 0.24713147 -0.82223357 -0.81633443 -2.42879166 -5.21401756
#> 72-1977 72-1978 72-1979 72-1980 72-1981 72-1982
#> -3.42313690 -1.77483666 0.86513147 -3.80583357 -2.51973443 -3.02119066
#> 73-1977 73-1978 73-1979 73-1980 73-1981 73-1982
#> -5.77613690 -3.69343666 -0.98896853 5.14506643 2.59066257 -1.24389266
#> 73-1983 74-1977 74-1978 74-1979 74-1980 74-1981
#> -3.83399944 -5.77613690 -3.69343666 -0.98896853 5.14506643 2.59066257
#> 74-1982 74-1983 75-1976 75-1977 75-1978 75-1979
#> -1.24389266 -3.83399944 -5.21401756 -3.42313690 -1.77483666 0.86513147
#> 75-1980 75-1981 75-1982 76-1976 76-1977 76-1978
#> -3.80583357 -2.51973443 -3.02119066 -6.45061756 -4.20743690 -2.41433666
#> 76-1979 76-1980 76-1981 76-1982 77-1977 77-1978
#> 0.24713147 -0.82223357 -0.81633443 -2.42879166 -5.77613690 -3.69343666
#> 77-1979 77-1980 77-1981 77-1982 77-1983 78-1976
#> -0.98896853 5.14506643 2.59066257 -1.24389266 -3.83399944 -6.45061756
#> 78-1977 78-1978 78-1979 78-1980 78-1981 78-1982
#> -4.20743690 -2.41433666 0.24713147 -0.82223357 -0.81633443 -2.42879166
#> 79-1976 79-1977 79-1978 79-1979 79-1980 79-1981
#> -15.38091956 -12.52733390 -8.63713666 -8.86936853 -3.80583357 -1.80593543
#> 79-1982 80-1976 80-1977 80-1978 80-1979 80-1980
#> 4.36240734 -5.21401756 -3.42313690 -1.77483666 0.86513147 -3.80583357
#> 80-1981 80-1982 81-1976 81-1977 81-1978 81-1979
#> -2.51973443 -3.02119066 7.41908244 5.37266310 1.56286334 -2.16936853
#> 81-1980 81-1981 81-1982 82-1976 82-1977 82-1978
#> -3.80583357 -6.50594043 -3.33758966 7.41908244 5.37266310 1.56286334
#> 82-1979 82-1980 82-1981 82-1982 83-1977 83-1978
#> -2.16936853 -3.80583357 -6.50594043 -3.33758966 16.83666310 16.14946334
#> 83-1979 83-1980 83-1981 83-1982 83-1983 84-1976
#> 13.57303147 15.10736643 3.65165957 3.40520834 1.82779756 -14.31521456
#> 84-1977 84-1978 84-1979 84-1980 84-1981 84-1982
#> -13.93733790 -12.62933366 -10.71096853 -3.62243357 2.96836357 5.54310934
#> 85-1976 85-1977 85-1978 85-1979 85-1980 85-1981
#> -15.14761956 -13.22733890 -9.43713666 -8.80266853 -3.43913357 -0.78923543
#> 85-1982 86-1976 86-1977 86-1978 86-1979 86-1980
#> 3.64570934 -14.31521456 -13.93733790 -12.62933366 -10.71096853 -3.62243357
#> 86-1981 86-1982 87-1976 87-1977 87-1978 87-1979
#> 2.96836357 5.54310934 7.41908244 5.37266310 1.56286334 -2.16936853
#> 87-1980 87-1981 87-1982 88-1976 88-1977 88-1978
#> -3.80583357 -6.50594043 -3.33758966 1.11908244 -1.12733690 0.66286334
#> 88-1979 88-1980 88-1981 88-1982 89-1976 89-1977
#> -0.06936853 -3.80583357 -6.70593743 -2.93758766 1.11908244 -1.12733690
#> 89-1978 89-1979 89-1980 89-1981 89-1982 90-1976
#> 0.66286334 -0.06936853 -3.80583357 -6.70593743 -2.93758766 1.06908244
#> 90-1977 90-1978 90-1979 90-1980 90-1981 90-1982
#> -0.90233690 -0.01213666 0.15563147 -1.05583357 -3.95593743 -3.41258666
#> 91-1976 91-1977 91-1978 91-1979 91-1980 91-1981
#> -4.21451756 -2.84823690 -2.31833666 0.48973147 -3.80583357 3.69056257
#> 91-1982 92-1976 92-1977 92-1978 92-1979 92-1980
#> 5.45550834 -14.44761556 -15.32733690 -11.83713466 -8.60266853 -2.33913357
#> 92-1981 92-1982 93-1977 93-1978 93-1979 93-1980
#> 2.26076057 1.49570834 -15.67733490 -12.23713666 -8.56936853 -2.15583357
#> 93-1981 93-1982 93-1983 94-1976 94-1977 94-1978
#> 2.76906057 1.13740834 5.40840056 8.61908244 5.54766310 2.28786334
#> 94-1979 94-1980 94-1981 94-1982 95-1976 95-1977
#> -1.19436853 -1.58083357 -3.80593543 -3.66258666 17.78268244 18.03796310
#> 95-1978 95-1979 95-1980 95-1981 95-1982 96-1976
#> 13.21356334 14.14823147 -3.80583357 1.72455857 2.84211334 17.78268244
#> 96-1977 96-1978 96-1979 96-1980 96-1981 96-1982
#> 18.03796310 13.21356334 14.14823147 -3.80583357 1.72455857 2.84211334
#> 97-1976 97-1977 97-1978 97-1979 97-1980 97-1981
#> 8.61908244 5.54766310 2.28786334 -1.19436853 -1.58083357 -3.80593543
#> 97-1982 98-1977 98-1978 98-1979 98-1980 98-1981
#> -3.66258666 16.83666310 16.14946334 13.57303147 15.10736643 3.65165957
#> 98-1982 98-1983 99-1977 99-1978 99-1979 99-1980
#> 3.40520834 1.82779756 -5.77613690 -3.69343666 -0.98896853 5.14506643
#> 99-1981 99-1982 99-1983 100-1977 100-1978 100-1979
#> 2.59066257 -1.24389266 -3.83399944 17.37056310 14.84466334 13.82873147
#> 100-1980 100-1981 100-1982 100-1983 101-1977 101-1978
#> 6.70146643 2.79516157 3.15491034 2.51409956 7.60056310 9.02356334
#> 101-1979 101-1980 101-1981 101-1982 101-1983 102-1977
#> 7.88213147 9.60016643 2.45955957 -1.52338866 -3.24590244 -4.88273690
#> 102-1978 102-1979 102-1980 102-1981 102-1982 102-1983
#> -3.39813666 -1.49046853 4.86346643 4.14316057 5.53300834 5.87640056
#> 103-1976 103-1977 103-1978 103-1979 103-1980 103-1981
#> -15.38091956 -12.52733390 -8.63713666 -8.86936853 -3.80583357 -1.80593543
#> 103-1982 104-1977 104-1978 104-1979 104-1980 104-1981
#> 4.36240734 -14.50633790 -13.67173766 -11.33606953 -3.31683357 3.70485957
#> 104-1982 104-1983 104-1984 105-1977 105-1978 105-1979
#> 4.90510934 4.75230056 2.78004311 -14.05113790 -12.83783666 -10.83596853
#> 105-1980 105-1981 105-1982 105-1983 105-1984 106-1977
#> -3.56133357 3.11566457 5.41550834 5.10780056 3.15794311 -13.93733790
#> 106-1978 106-1979 106-1980 106-1981 106-1982 106-1983
#> -12.62933366 -10.71096853 -3.62243357 2.96836357 5.54310934 5.19670056
#> 106-1984 107-1977 107-1978 107-1979 107-1980 107-1981
#> 3.25244311 -14.62013790 -13.88023366 -11.46106953 -3.25573357 3.85216057
#> 107-1982 107-1983 107-1984 108-1977 108-1978 108-1979
#> 4.77750734 4.66350056 2.68554311 -14.62013790 -13.88023366 -11.46106953
#> 108-1980 108-1981 108-1982 108-1983 108-1984 109-1977
#> -3.25573357 3.85216057 4.77750734 4.66350056 2.68554311 -13.93733790
#> 109-1978 109-1979 109-1980 109-1981 109-1982 109-1983
#> -12.62933366 -10.71096853 -3.62243357 2.96836357 5.54310934 5.19670056
#> 109-1984 110-1977 110-1978 110-1979 110-1980 110-1981
#> 3.25244311 16.83666310 16.14946334 13.57303147 15.10736643 3.65165957
#> 110-1982 110-1983 110-1984 111-1977 111-1978 111-1979
#> 3.40520834 1.82779756 1.55844111 5.72266310 3.01286334 -0.21936853
#> 111-1980 111-1981 111-1982 111-1983 111-1984 112-1977
#> 0.64416643 -1.10593943 -3.98759166 -6.66660244 -11.27775489 -3.45443690
#> 112-1978 112-1979 112-1980 112-1981 112-1982 112-1983
#> -2.54593666 -4.03086853 -0.38073357 2.47986157 -1.77068766 -5.52369644
#> 112-1984 113-1976 113-1977 113-1978 113-1979 113-1980
#> -9.96845989 -15.03092056 -13.57733690 -9.83713666 -8.76936853 -3.25583357
#> 113-1981 113-1982 113-1983 114-1977 114-1978 114-1979
#> -0.28093443 3.28741034 10.55840056 10.25006310 8.07336334 6.80523147
#> 114-1980 114-1981 114-1982 114-1983 114-1984 115-1977
#> -3.80583357 -3.04383543 -2.56718866 -0.69519744 -0.52475689 10.25006310
#> 115-1978 115-1979 115-1980 115-1981 115-1982 115-1983
#> 8.07336334 6.80523147 -3.80583357 -3.04383543 -2.56718866 -0.69519744
#> 115-1984 116-1977 116-1978 116-1979 116-1980 116-1981
#> -0.52475689 7.30626310 9.12906334 8.00183147 11.08966643 3.07106257
#> 116-1982 116-1983 116-1984 117-1977 117-1978 117-1979
#> -1.40739066 -3.52940344 -3.21775789 -2.84823690 -2.31833666 0.48973147
#> 117-1980 117-1981 117-1982 117-1983 117-1984 118-1976
#> -3.80583357 3.69056257 5.45550834 11.72630056 15.02934311 7.83478244
#> 118-1977 118-1978 118-1979 118-1980 118-1981 118-1982
#> 7.89496310 8.91796334 7.76253147 8.11056643 1.84806357 -1.63939366
#> 118-1983 119-1977 119-1978 119-1979 119-1980 119-1981
#> -2.96250044 -0.45233690 -1.36213666 0.60563147 4.44416643 1.54406257
#> 119-1982 119-1983 119-1984 120-1977 120-1978 120-1979
#> -4.36259166 -3.71659744 -4.25275389 -4.73033690 -2.84073666 -0.16496853
#> 120-1980 120-1981 120-1982 120-1983 120-1984 121-1977
#> 1.16686643 0.31936157 -2.03378766 -2.87909644 -2.37385489 -5.77613690
#> 121-1978 121-1979 121-1980 121-1981 121-1982 121-1983
#> -3.69343666 -0.98896853 5.14506643 2.59066257 -1.24389266 -3.83399944
#> 121-1984 122-1976 122-1977 122-1978 122-1979 122-1980
#> -3.72965989 -5.21401756 -3.42313690 -1.77483666 0.86513147 -3.80583357
#> 122-1981 122-1982 122-1983 123-1976 123-1977 123-1978
#> -2.51973443 -3.02119066 -1.68530244 -5.21401756 -3.42313690 -1.77483666
#> 123-1979 123-1980 123-1981 123-1982 123-1983 124-1977
#> 0.86513147 -3.80583357 -2.51973443 -3.02119066 -1.68530244 -0.30233690
#> 124-1978 124-1979 124-1980 124-1981 124-1982 124-1983
#> -1.81213666 0.75563147 6.27746643 3.37736057 -4.67928766 -4.21659744
#> 124-1984 125-1977 125-1978 125-1979 125-1980 125-1981
#> -4.43605789 7.01186310 9.23466334 8.12143147 12.57926643 3.68255857
#> 125-1982 125-1983 125-1984 126-1977 126-1978 126-1979
#> -1.29138566 -3.81279744 -3.48705989 7.89496310 8.91796334 7.76253147
#> 126-1980 126-1981 126-1982 126-1983 126-1984 127-1976
#> 8.11056643 1.84806357 -1.63939366 -2.96250044 -2.67916089 -14.31521456
#> 127-1977 127-1978 127-1979 127-1980 127-1981 127-1982
#> -13.93733790 -12.62933366 -10.71096853 -3.62243357 2.96836357 5.54310934
#> 127-1983 127-1984 128-1976 128-1977 128-1978 128-1979
#> 5.19670056 3.25244311 -14.31521456 -13.93733790 -12.62933366 -10.71096853
#> 128-1980 128-1981 128-1982 128-1983 128-1984 129-1976
#> -3.62243357 2.96836357 5.54310934 5.19670056 3.25244311 -14.31521456
#> 129-1977 129-1978 129-1979 129-1980 129-1981 129-1982
#> -13.93733790 -12.62933366 -10.71096853 -3.62243357 2.96836357 5.54310934
#> 129-1983 129-1984 130-1976 130-1977 130-1978 130-1979
#> 5.19670056 3.25244311 -7.20551756 -3.52643690 -2.67823666 -0.17036853
#> 130-1980 130-1981 130-1982 130-1983 130-1984 131-1976
#> -0.91603357 3.84146357 5.48131134 9.77630056 13.43834311 -5.21401756
#> 131-1977 131-1978 131-1979 131-1980 131-1981 131-1982
#> -3.42313690 -1.77483666 0.86513147 -3.80583357 -2.51973443 -3.02119066
#> 131-1983 131-1984 132-1976 132-1977 132-1978 132-1979
#> -1.68530244 -0.67905389 17.78268244 18.03796310 13.21356334 14.14823147
#> 132-1980 132-1981 132-1982 132-1983 132-1984 133-1976
#> -3.80583357 1.72455857 2.84211334 3.37200256 5.30114311 8.61908244
#> 133-1977 133-1978 133-1979 133-1980 133-1981 133-1982
#> 5.54766310 2.28786334 -1.19436853 -1.58083357 -3.80593543 -3.66258666
#> 133-1983 133-1984 134-1976 134-1977 134-1978 134-1979
#> -7.56659644 -11.15275489 8.06388244 10.25006310 8.07336334 6.80523147
#> 134-1980 134-1981 134-1982 134-1983 134-1984 135-1976
#> -3.80583357 -3.04383543 -2.56718866 -0.69519744 -0.52475689 7.97798244
#> 135-1977 135-1978 135-1979 135-1980 135-1981 135-1982
#> 9.36696310 8.39006334 7.16423147 0.66286643 -1.20934043 -2.21928866
#> 135-1983 135-1984 136-1976 136-1977 136-1978 136-1979
#> -1.54540144 -1.33265689 8.06388244 10.25006310 8.07336334 6.80523147
#> 136-1980 136-1981 136-1982 136-1983 136-1984 137-1976
#> -3.80583357 -3.04383543 -2.56718866 -0.69519744 -0.52475689 1.06908244
#> 137-1977 137-1978 137-1979 137-1980 137-1981 137-1982
#> -0.90233690 -0.01213666 0.15563147 -1.05583357 -3.95593743 -3.41258666
#> 137-1983 137-1984 138-1976 138-1977 138-1978 138-1979
#> -2.21659744 -3.70275889 -7.27501756 -4.73033690 -2.84073666 -0.16496853
#> 138-1980 138-1981 138-1982 138-1983 138-1984 139-1976
#> 1.16686643 0.31936157 -2.03378766 -2.87909644 -2.37385489 -6.45061756
#> 139-1977 139-1978 139-1979 139-1980 139-1981 139-1982
#> -4.20743690 -2.41433666 0.24713147 -0.82223357 -0.81633443 -2.42879166
#> 139-1983 139-1984 140-1976 140-1977 140-1978 140-1979
#> -2.40160344 -1.69596089 -4.21451756 -2.84823690 -2.31833666 0.48973147
#> 140-1980 140-1981 140-1982 140-1983 140-1984
#> -3.80583357 3.69056257 5.45550834 11.72630056 15.02934311
Sum(z, effect = "time")
#> 1977 1978 1979 1980 1981 1982 1983 1977
#> 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 15225.172
#> 1978 1979 1980 1981 1982 1983 1977 1978
#> 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 15225.172 15573.199
#> 1979 1980 1981 1982 1983 1977 1978 1979
#> 15549.712 14532.817 13398.831 13137.263 7438.595 15225.172 15573.199 15549.712
#> 1980 1981 1982 1983 1976 1977 1978 1979
#> 14532.817 13398.831 13137.263 7438.595 8718.473 15225.172 15573.199 15549.712
#> 1980 1981 1982 1976 1977 1978 1979 1980
#> 14532.817 13398.831 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 13398.831 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1976 1977 1978 1979 1980 1981 1982 1976
#> 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 8718.473
#> 1977 1978 1979 1980 1981 1982 1976 1977
#> 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 8718.473 15225.172
#> 1978 1979 1980 1981 1982 1976 1977 1978
#> 15573.199 15549.712 14532.817 13398.831 13137.263 8718.473 15225.172 15573.199
#> 1979 1980 1981 1982 1976 1977 1978 1979
#> 15549.712 14532.817 13398.831 13137.263 8718.473 15225.172 15573.199 15549.712
#> 1980 1981 1982 1978 1979 1980 1981 1982
#> 14532.817 13398.831 13137.263 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1983 1984 1977 1978 1979 1980 1981 1982
#> 7438.595 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1983 1976 1977 1978 1979 1980 1981 1982
#> 7438.595 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1977 1978 1979 1980 1981 1982 1983 1977
#> 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 15225.172
#> 1978 1979 1980 1981 1982 1983 1976 1977
#> 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 8718.473 15225.172
#> 1978 1979 1980 1981 1982 1977 1978 1979
#> 15573.199 15549.712 14532.817 13398.831 13137.263 15225.172 15573.199 15549.712
#> 1980 1981 1982 1983 1977 1978 1979 1980
#> 14532.817 13398.831 13137.263 7438.595 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1983 1976 1977 1978 1979 1980
#> 13398.831 13137.263 7438.595 8718.473 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 13398.831 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1976 1977 1978 1979 1980 1981 1982 1976
#> 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 8718.473
#> 1977 1978 1979 1980 1981 1982 1978 1979
#> 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 15573.199 15549.712
#> 1980 1981 1982 1983 1984 1977 1978 1979
#> 14532.817 13398.831 13137.263 7438.595 3444.971 15225.172 15573.199 15549.712
#> 1980 1981 1982 1983 1977 1978 1979 1980
#> 14532.817 13398.831 13137.263 7438.595 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1983 1976 1977 1978 1979 1980
#> 13398.831 13137.263 7438.595 8718.473 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 13398.831 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1977 1978 1979 1980 1981 1982 1983
#> 13137.263 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1976 1977 1978 1979 1980 1981 1982 1977
#> 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 15225.172
#> 1978 1979 1980 1981 1982 1983 1977 1978
#> 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 15225.172 15573.199
#> 1979 1980 1981 1982 1983 1976 1977 1978
#> 15549.712 14532.817 13398.831 13137.263 7438.595 8718.473 15225.172 15573.199
#> 1979 1980 1981 1982 1977 1978 1979 1980
#> 15549.712 14532.817 13398.831 13137.263 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1983 1976 1977 1978 1979 1980
#> 13398.831 13137.263 7438.595 8718.473 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1977 1978 1979 1980 1981 1982
#> 13398.831 13137.263 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1983 1976 1977 1978 1979 1980 1981 1982
#> 7438.595 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1977 1978 1979 1980 1981 1982 1983 1976
#> 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 8718.473
#> 1977 1978 1979 1980 1981 1982 1977 1978
#> 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 15225.172 15573.199
#> 1979 1980 1981 1982 1983 1977 1978 1979
#> 15549.712 14532.817 13398.831 13137.263 7438.595 15225.172 15573.199 15549.712
#> 1980 1981 1982 1983 1977 1978 1979 1980
#> 14532.817 13398.831 13137.263 7438.595 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1983 1976 1977 1978 1979 1980
#> 13398.831 13137.263 7438.595 8718.473 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 13398.831 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1976 1977 1978 1979 1980 1981 1982 1976
#> 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 8718.473
#> 1977 1978 1979 1980 1981 1982 1976 1977
#> 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 8718.473 15225.172
#> 1978 1979 1980 1981 1982 1976 1977 1978
#> 15573.199 15549.712 14532.817 13398.831 13137.263 8718.473 15225.172 15573.199
#> 1979 1980 1981 1982 1977 1978 1979 1980
#> 15549.712 14532.817 13398.831 13137.263 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1983 1977 1978 1979 1980 1981
#> 13398.831 13137.263 7438.595 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1983 1976 1977 1978 1979 1980 1981
#> 13137.263 7438.595 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1977 1978 1979 1980 1981 1982 1983 1976
#> 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 8718.473
#> 1977 1978 1979 1980 1981 1982 1977 1978
#> 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 15225.172 15573.199
#> 1979 1980 1981 1982 1983 1976 1977 1978
#> 15549.712 14532.817 13398.831 13137.263 7438.595 8718.473 15225.172 15573.199
#> 1979 1980 1981 1982 1977 1978 1979 1980
#> 15549.712 14532.817 13398.831 13137.263 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1983 1977 1978 1979 1980 1981
#> 13398.831 13137.263 7438.595 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1983 1976 1977 1978 1979 1980 1981
#> 13137.263 7438.595 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1976 1977 1978 1979 1980 1981 1982 1977
#> 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 15225.172
#> 1978 1979 1980 1981 1982 1983 1976 1977
#> 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 8718.473 15225.172
#> 1978 1979 1980 1981 1982 1976 1977 1978
#> 15573.199 15549.712 14532.817 13398.831 13137.263 8718.473 15225.172 15573.199
#> 1979 1980 1981 1982 1977 1978 1979 1980
#> 15549.712 14532.817 13398.831 13137.263 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1983 1977 1978 1979 1980 1981
#> 13398.831 13137.263 7438.595 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1983 1976 1977 1978 1979 1980 1981
#> 13137.263 7438.595 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1977 1978 1979 1980 1981 1982 1983 1977
#> 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 15225.172
#> 1978 1979 1980 1981 1982 1983 1976 1977
#> 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 8718.473 15225.172
#> 1978 1979 1980 1981 1982 1976 1977 1978
#> 15573.199 15549.712 14532.817 13398.831 13137.263 8718.473 15225.172 15573.199
#> 1979 1980 1981 1982 1977 1978 1979 1980
#> 15549.712 14532.817 13398.831 13137.263 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1983 1976 1977 1978 1979 1980
#> 13398.831 13137.263 7438.595 8718.473 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 13398.831 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1976 1977 1978 1979 1980 1981 1982 1976
#> 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 8718.473
#> 1977 1978 1979 1980 1981 1982 1977 1978
#> 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 15225.172 15573.199
#> 1979 1980 1981 1982 1983 1976 1977 1978
#> 15549.712 14532.817 13398.831 13137.263 7438.595 8718.473 15225.172 15573.199
#> 1979 1980 1981 1982 1976 1977 1978 1979
#> 15549.712 14532.817 13398.831 13137.263 8718.473 15225.172 15573.199 15549.712
#> 1980 1981 1982 1976 1977 1978 1979 1980
#> 14532.817 13398.831 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 13398.831 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1976 1977 1978 1979 1980 1981 1982 1976
#> 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 8718.473
#> 1977 1978 1979 1980 1981 1982 1976 1977
#> 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 8718.473 15225.172
#> 1978 1979 1980 1981 1982 1976 1977 1978
#> 15573.199 15549.712 14532.817 13398.831 13137.263 8718.473 15225.172 15573.199
#> 1979 1980 1981 1982 1977 1978 1979 1980
#> 15549.712 14532.817 13398.831 13137.263 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1983 1976 1977 1978 1979 1980
#> 13398.831 13137.263 7438.595 8718.473 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1976 1977 1978 1979 1980 1981
#> 13398.831 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1976 1977 1978 1979 1980 1981 1982
#> 13137.263 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1976 1977 1978 1979 1980 1981 1982 1977
#> 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 15225.172
#> 1978 1979 1980 1981 1982 1983 1977 1978
#> 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 15225.172 15573.199
#> 1979 1980 1981 1982 1983 1977 1978 1979
#> 15549.712 14532.817 13398.831 13137.263 7438.595 15225.172 15573.199 15549.712
#> 1980 1981 1982 1983 1977 1978 1979 1980
#> 14532.817 13398.831 13137.263 7438.595 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1983 1977 1978 1979 1980 1981
#> 13398.831 13137.263 7438.595 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1983 1976 1977 1978 1979 1980 1981
#> 13137.263 7438.595 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1977 1978 1979 1980 1981 1982 1983
#> 13137.263 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1976 1977 1978 1979 1980 1981 1982
#> 3444.971 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1983 1977 1978 1979 1980 1981 1982 1983
#> 7438.595 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1976 1977 1978 1979 1980 1981 1982
#> 3444.971 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1983 1977 1978 1979 1980 1981 1982 1983
#> 7438.595 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1976 1977 1978 1979 1980 1981 1982
#> 3444.971 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1983 1976 1977 1978 1979 1980 1981 1982
#> 7438.595 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1983 1977 1978 1979 1980 1981 1982 1983
#> 7438.595 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1977 1978 1979 1980 1981 1982 1983
#> 3444.971 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1976 1977 1978 1979 1980 1981 1982
#> 3444.971 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1983 1984 1976 1977 1978 1979 1980 1981
#> 7438.595 3444.971 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1983 1984 1976 1977 1978 1979 1980
#> 13137.263 7438.595 3444.971 8718.473 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1983 1984 1976 1977 1978 1979
#> 13398.831 13137.263 7438.595 3444.971 8718.473 15225.172 15573.199 15549.712
#> 1980 1981 1982 1983 1984 1976 1977 1978
#> 14532.817 13398.831 13137.263 7438.595 3444.971 8718.473 15225.172 15573.199
#> 1979 1980 1981 1982 1983 1984 1976 1977
#> 15549.712 14532.817 13398.831 13137.263 7438.595 3444.971 8718.473 15225.172
#> 1978 1979 1980 1981 1982 1983 1984 1976
#> 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 3444.971 8718.473
#> 1977 1978 1979 1980 1981 1982 1983 1984
#> 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 3444.971
#> 1976 1977 1978 1979 1980 1981 1982 1983
#> 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595
#> 1984 1976 1977 1978 1979 1980 1981 1982
#> 3444.971 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831 13137.263
#> 1983 1984 1976 1977 1978 1979 1980 1981
#> 7438.595 3444.971 8718.473 15225.172 15573.199 15549.712 14532.817 13398.831
#> 1982 1983 1984 1976 1977 1978 1979 1980
#> 13137.263 7438.595 3444.971 8718.473 15225.172 15573.199 15549.712 14532.817
#> 1981 1982 1983 1984 1976 1977 1978 1979
#> 13398.831 13137.263 7438.595 3444.971 8718.473 15225.172 15573.199 15549.712
#> 1980 1981 1982 1983 1984 1976 1977 1978
#> 14532.817 13398.831 13137.263 7438.595 3444.971 8718.473 15225.172 15573.199
#> 1979 1980 1981 1982 1983 1984 1976 1977
#> 15549.712 14532.817 13398.831 13137.263 7438.595 3444.971 8718.473 15225.172
#> 1978 1979 1980 1981 1982 1983 1984
#> 15573.199 15549.712 14532.817 13398.831 13137.263 7438.595 3444.971
# NA treatment for between, Between, Within, and Sum
z2 <- z
z2[length(z2)] <- NA # set last value to NA
between(z2, na.rm = TRUE) # non-NA value for last individual
#> 1 2 3 4 5 6 7 8
#> 98.77511 98.77511 98.77511 107.32600 98.40861 104.33301 104.48757 104.48757
#> 9 10 11 12 13 14 15 16
#> 104.33301 98.57998 104.48757 104.48757 115.06733 109.24617 101.57539 104.78571
#> 17 18 19 20 21 22 23 24
#> 113.12871 103.73214 104.78571 103.73214 103.73214 104.78571 104.78571 104.78571
#> 25 26 27 28 29 30 31 32
#> 104.78571 104.78571 96.52857 98.50596 99.39286 104.78571 104.48757 99.57024
#> 33 34 35 36 37 38 39 40
#> 98.32857 99.39286 98.86071 98.32857 103.73214 101.47900 103.73214 102.10971
#> 41 42 43 44 45 46 47 48
#> 103.73214 101.47900 113.12871 103.73214 113.12871 114.12963 104.78571 114.12963
#> 49 50 51 52 53 54 55 56
#> 105.88214 101.47900 115.06733 104.78571 103.73214 113.12871 104.78571 114.12963
#> 57 58 59 60 61 62 63 64
#> 107.59236 104.78571 107.59236 102.29579 101.93559 107.59236 103.15714 103.15714
#> 65 66 67 68 69 70 71 72
#> 103.15714 102.57857 108.39140 103.15714 102.57857 101.93559 102.58164 102.29579
#> 73 74 75 76 77 78 79 80
#> 101.93559 101.93559 102.29579 102.58164 101.93559 102.58164 98.32857 102.29579
#> 81 82 83 84 85 86 87 88
#> 104.78571 104.78571 113.12871 98.32290 98.25239 98.32290 104.78571 103.15714
#> 89 90 91 92 93 94 95 96
#> 103.15714 103.83571 104.48757 98.02381 98.86071 105.88214 114.12963 114.12963
#> 97 98 99 100 101 102 103 104
#> 105.88214 113.12871 101.93559 111.79420 107.59236 104.57064 98.32857 99.13611
#> 105 106 107 108 109 110 111 112
#> 99.41102 99.47976 99.06739 99.06739 99.47976 111.48590 100.73750 99.32283
#> 113 114 115 116 117 118 119 120
#> 99.17812 104.28368 104.28368 106.27761 105.89957 108.51221 101.52813 100.78013
#> 121 122 123 124 125 126 127 128
#> 101.03090 101.21897 101.21897 101.84270 106.47701 105.87882 98.94487 98.94487
#> 129 130 131 132 133 134 135 136
#> 98.94487 105.19992 100.83339 111.26388 101.80556 105.70158 106.22377 105.70158
#> 137 138 139 140
#> 101.63611 100.88299 100.86314 104.81324
Between(z2, na.rm = TRUE) # only the NA observation is lost
#> 1 1 1 1 1 1 1 2
#> 98.77511 98.77511 98.77511 98.77511 98.77511 98.77511 98.77511 98.77511
#> 2 2 2 2 2 2 3 3
#> 98.77511 98.77511 98.77511 98.77511 98.77511 98.77511 98.77511 98.77511
#> 3 3 3 3 3 4 4 4
#> 98.77511 98.77511 98.77511 98.77511 98.77511 107.32600 107.32600 107.32600
#> 4 4 4 4 5 5 5 5
#> 107.32600 107.32600 107.32600 107.32600 98.40861 98.40861 98.40861 98.40861
#> 5 5 5 6 6 6 6 6
#> 98.40861 98.40861 98.40861 104.33301 104.33301 104.33301 104.33301 104.33301
#> 6 6 7 7 7 7 7 7
#> 104.33301 104.33301 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757
#> 7 8 8 8 8 8 8 8
#> 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757
#> 9 9 9 9 9 9 9 10
#> 104.33301 104.33301 104.33301 104.33301 104.33301 104.33301 104.33301 98.57998
#> 10 10 10 10 10 10 11 11
#> 98.57998 98.57998 98.57998 98.57998 98.57998 98.57998 104.48757 104.48757
#> 11 11 11 11 11 12 12 12
#> 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757
#> 12 12 12 12 13 13 13 13
#> 104.48757 104.48757 104.48757 104.48757 115.06733 115.06733 115.06733 115.06733
#> 13 13 13 14 14 14 14 14
#> 115.06733 115.06733 115.06733 109.24617 109.24617 109.24617 109.24617 109.24617
#> 14 14 15 15 15 15 15 15
#> 109.24617 109.24617 101.57539 101.57539 101.57539 101.57539 101.57539 101.57539
#> 15 16 16 16 16 16 16 16
#> 101.57539 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 17 17 17 17 17 17 17 18
#> 113.12871 113.12871 113.12871 113.12871 113.12871 113.12871 113.12871 103.73214
#> 18 18 18 18 18 18 19 19
#> 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214 104.78571 104.78571
#> 19 19 19 19 19 20 20 20
#> 104.78571 104.78571 104.78571 104.78571 104.78571 103.73214 103.73214 103.73214
#> 20 20 20 20 21 21 21 21
#> 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214
#> 21 21 21 22 22 22 22 22
#> 103.73214 103.73214 103.73214 104.78571 104.78571 104.78571 104.78571 104.78571
#> 22 22 23 23 23 23 23 23
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 23 24 24 24 24 24 24 24
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 25 25 25 25 25 25 25 26
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 26 26 26 26 26 26 27 27
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 96.52857 96.52857
#> 27 27 27 27 27 28 28 28
#> 96.52857 96.52857 96.52857 96.52857 96.52857 98.50596 98.50596 98.50596
#> 28 28 28 28 29 29 29 29
#> 98.50596 98.50596 98.50596 98.50596 99.39286 99.39286 99.39286 99.39286
#> 29 29 29 30 30 30 30 30
#> 99.39286 99.39286 99.39286 104.78571 104.78571 104.78571 104.78571 104.78571
#> 30 30 31 31 31 31 31 31
#> 104.78571 104.78571 104.48757 104.48757 104.48757 104.48757 104.48757 104.48757
#> 31 32 32 32 32 32 32 32
#> 104.48757 99.57024 99.57024 99.57024 99.57024 99.57024 99.57024 99.57024
#> 33 33 33 33 33 33 33 34
#> 98.32857 98.32857 98.32857 98.32857 98.32857 98.32857 98.32857 99.39286
#> 34 34 34 34 34 34 35 35
#> 99.39286 99.39286 99.39286 99.39286 99.39286 99.39286 98.86071 98.86071
#> 35 35 35 35 35 36 36 36
#> 98.86071 98.86071 98.86071 98.86071 98.86071 98.32857 98.32857 98.32857
#> 36 36 36 36 37 37 37 37
#> 98.32857 98.32857 98.32857 98.32857 103.73214 103.73214 103.73214 103.73214
#> 37 37 37 38 38 38 38 38
#> 103.73214 103.73214 103.73214 101.47900 101.47900 101.47900 101.47900 101.47900
#> 38 38 39 39 39 39 39 39
#> 101.47900 101.47900 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214
#> 39 40 40 40 40 40 40 40
#> 103.73214 102.10971 102.10971 102.10971 102.10971 102.10971 102.10971 102.10971
#> 41 41 41 41 41 41 41 42
#> 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214 103.73214 101.47900
#> 42 42 42 42 42 42 43 43
#> 101.47900 101.47900 101.47900 101.47900 101.47900 101.47900 113.12871 113.12871
#> 43 43 43 43 43 44 44 44
#> 113.12871 113.12871 113.12871 113.12871 113.12871 103.73214 103.73214 103.73214
#> 44 44 44 44 45 45 45 45
#> 103.73214 103.73214 103.73214 103.73214 113.12871 113.12871 113.12871 113.12871
#> 45 45 45 46 46 46 46 46
#> 113.12871 113.12871 113.12871 114.12963 114.12963 114.12963 114.12963 114.12963
#> 46 46 47 47 47 47 47 47
#> 114.12963 114.12963 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 47 48 48 48 48 48 48 48
#> 104.78571 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963
#> 49 49 49 49 49 49 49 50
#> 105.88214 105.88214 105.88214 105.88214 105.88214 105.88214 105.88214 101.47900
#> 50 50 50 50 50 50 51 51
#> 101.47900 101.47900 101.47900 101.47900 101.47900 101.47900 115.06733 115.06733
#> 51 51 51 51 51 52 52 52
#> 115.06733 115.06733 115.06733 115.06733 115.06733 104.78571 104.78571 104.78571
#> 52 52 52 52 53 53 53 53
#> 104.78571 104.78571 104.78571 104.78571 103.73214 103.73214 103.73214 103.73214
#> 53 53 53 54 54 54 54 54
#> 103.73214 103.73214 103.73214 113.12871 113.12871 113.12871 113.12871 113.12871
#> 54 54 55 55 55 55 55 55
#> 113.12871 113.12871 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 55 56 56 56 56 56 56 56
#> 104.78571 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963
#> 57 57 57 57 57 57 57 58
#> 107.59236 107.59236 107.59236 107.59236 107.59236 107.59236 107.59236 104.78571
#> 58 58 58 58 58 58 59 59
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 107.59236 107.59236
#> 59 59 59 59 59 60 60 60
#> 107.59236 107.59236 107.59236 107.59236 107.59236 102.29579 102.29579 102.29579
#> 60 60 60 60 61 61 61 61
#> 102.29579 102.29579 102.29579 102.29579 101.93559 101.93559 101.93559 101.93559
#> 61 61 61 62 62 62 62 62
#> 101.93559 101.93559 101.93559 107.59236 107.59236 107.59236 107.59236 107.59236
#> 62 62 63 63 63 63 63 63
#> 107.59236 107.59236 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714
#> 63 64 64 64 64 64 64 64
#> 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714
#> 65 65 65 65 65 65 65 66
#> 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 102.57857
#> 66 66 66 66 66 66 67 67
#> 102.57857 102.57857 102.57857 102.57857 102.57857 102.57857 108.39140 108.39140
#> 67 67 67 67 67 68 68 68
#> 108.39140 108.39140 108.39140 108.39140 108.39140 103.15714 103.15714 103.15714
#> 68 68 68 68 69 69 69 69
#> 103.15714 103.15714 103.15714 103.15714 102.57857 102.57857 102.57857 102.57857
#> 69 69 69 70 70 70 70 70
#> 102.57857 102.57857 102.57857 101.93559 101.93559 101.93559 101.93559 101.93559
#> 70 70 71 71 71 71 71 71
#> 101.93559 101.93559 102.58164 102.58164 102.58164 102.58164 102.58164 102.58164
#> 71 72 72 72 72 72 72 72
#> 102.58164 102.29579 102.29579 102.29579 102.29579 102.29579 102.29579 102.29579
#> 73 73 73 73 73 73 73 74
#> 101.93559 101.93559 101.93559 101.93559 101.93559 101.93559 101.93559 101.93559
#> 74 74 74 74 74 74 75 75
#> 101.93559 101.93559 101.93559 101.93559 101.93559 101.93559 102.29579 102.29579
#> 75 75 75 75 75 76 76 76
#> 102.29579 102.29579 102.29579 102.29579 102.29579 102.58164 102.58164 102.58164
#> 76 76 76 76 77 77 77 77
#> 102.58164 102.58164 102.58164 102.58164 101.93559 101.93559 101.93559 101.93559
#> 77 77 77 78 78 78 78 78
#> 101.93559 101.93559 101.93559 102.58164 102.58164 102.58164 102.58164 102.58164
#> 78 78 79 79 79 79 79 79
#> 102.58164 102.58164 98.32857 98.32857 98.32857 98.32857 98.32857 98.32857
#> 79 80 80 80 80 80 80 80
#> 98.32857 102.29579 102.29579 102.29579 102.29579 102.29579 102.29579 102.29579
#> 81 81 81 81 81 81 81 82
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 82 82 82 82 82 82 83 83
#> 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571 113.12871 113.12871
#> 83 83 83 83 83 84 84 84
#> 113.12871 113.12871 113.12871 113.12871 113.12871 98.32290 98.32290 98.32290
#> 84 84 84 84 85 85 85 85
#> 98.32290 98.32290 98.32290 98.32290 98.25239 98.25239 98.25239 98.25239
#> 85 85 85 86 86 86 86 86
#> 98.25239 98.25239 98.25239 98.32290 98.32290 98.32290 98.32290 98.32290
#> 86 86 87 87 87 87 87 87
#> 98.32290 98.32290 104.78571 104.78571 104.78571 104.78571 104.78571 104.78571
#> 87 88 88 88 88 88 88 88
#> 104.78571 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714
#> 89 89 89 89 89 89 89 90
#> 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 103.15714 103.83571
#> 90 90 90 90 90 90 91 91
#> 103.83571 103.83571 103.83571 103.83571 103.83571 103.83571 104.48757 104.48757
#> 91 91 91 91 91 92 92 92
#> 104.48757 104.48757 104.48757 104.48757 104.48757 98.02381 98.02381 98.02381
#> 92 92 92 92 93 93 93 93
#> 98.02381 98.02381 98.02381 98.02381 98.86071 98.86071 98.86071 98.86071
#> 93 93 93 94 94 94 94 94
#> 98.86071 98.86071 98.86071 105.88214 105.88214 105.88214 105.88214 105.88214
#> 94 94 95 95 95 95 95 95
#> 105.88214 105.88214 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963
#> 95 96 96 96 96 96 96 96
#> 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963 114.12963
#> 97 97 97 97 97 97 97 98
#> 105.88214 105.88214 105.88214 105.88214 105.88214 105.88214 105.88214 113.12871
#> 98 98 98 98 98 98 99 99
#> 113.12871 113.12871 113.12871 113.12871 113.12871 113.12871 101.93559 101.93559
#> 99 99 99 99 99 100 100 100
#> 101.93559 101.93559 101.93559 101.93559 101.93559 111.79420 111.79420 111.79420
#> 100 100 100 100 101 101 101 101
#> 111.79420 111.79420 111.79420 111.79420 107.59236 107.59236 107.59236 107.59236
#> 101 101 101 102 102 102 102 102
#> 107.59236 107.59236 107.59236 104.57064 104.57064 104.57064 104.57064 104.57064
#> 102 102 103 103 103 103 103 103
#> 104.57064 104.57064 98.32857 98.32857 98.32857 98.32857 98.32857 98.32857
#> 103 104 104 104 104 104 104 104
#> 98.32857 99.13611 99.13611 99.13611 99.13611 99.13611 99.13611 99.13611
#> 104 105 105 105 105 105 105 105
#> 99.13611 99.41102 99.41102 99.41102 99.41102 99.41102 99.41102 99.41102
#> 105 106 106 106 106 106 106 106
#> 99.41102 99.47976 99.47976 99.47976 99.47976 99.47976 99.47976 99.47976
#> 106 107 107 107 107 107 107 107
#> 99.47976 99.06739 99.06739 99.06739 99.06739 99.06739 99.06739 99.06739
#> 107 108 108 108 108 108 108 108
#> 99.06739 99.06739 99.06739 99.06739 99.06739 99.06739 99.06739 99.06739
#> 108 109 109 109 109 109 109 109
#> 99.06739 99.47976 99.47976 99.47976 99.47976 99.47976 99.47976 99.47976
#> 109 110 110 110 110 110 110 110
#> 99.47976 111.48590 111.48590 111.48590 111.48590 111.48590 111.48590 111.48590
#> 110 111 111 111 111 111 111 111
#> 111.48590 100.73750 100.73750 100.73750 100.73750 100.73750 100.73750 100.73750
#> 111 112 112 112 112 112 112 112
#> 100.73750 99.32283 99.32283 99.32283 99.32283 99.32283 99.32283 99.32283
#> 112 113 113 113 113 113 113 113
#> 99.32283 99.17812 99.17812 99.17812 99.17812 99.17812 99.17812 99.17812
#> 113 114 114 114 114 114 114 114
#> 99.17812 104.28368 104.28368 104.28368 104.28368 104.28368 104.28368 104.28368
#> 114 115 115 115 115 115 115 115
#> 104.28368 104.28368 104.28368 104.28368 104.28368 104.28368 104.28368 104.28368
#> 115 116 116 116 116 116 116 116
#> 104.28368 106.27761 106.27761 106.27761 106.27761 106.27761 106.27761 106.27761
#> 116 117 117 117 117 117 117 117
#> 106.27761 105.89957 105.89957 105.89957 105.89957 105.89957 105.89957 105.89957
#> 117 118 118 118 118 118 118 118
#> 105.89957 108.51221 108.51221 108.51221 108.51221 108.51221 108.51221 108.51221
#> 118 119 119 119 119 119 119 119
#> 108.51221 101.52813 101.52813 101.52813 101.52813 101.52813 101.52813 101.52813
#> 119 120 120 120 120 120 120 120
#> 101.52813 100.78013 100.78013 100.78013 100.78013 100.78013 100.78013 100.78013
#> 120 121 121 121 121 121 121 121
#> 100.78013 101.03090 101.03090 101.03090 101.03090 101.03090 101.03090 101.03090
#> 121 122 122 122 122 122 122 122
#> 101.03090 101.21897 101.21897 101.21897 101.21897 101.21897 101.21897 101.21897
#> 122 123 123 123 123 123 123 123
#> 101.21897 101.21897 101.21897 101.21897 101.21897 101.21897 101.21897 101.21897
#> 123 124 124 124 124 124 124 124
#> 101.21897 101.84270 101.84270 101.84270 101.84270 101.84270 101.84270 101.84270
#> 124 125 125 125 125 125 125 125
#> 101.84270 106.47701 106.47701 106.47701 106.47701 106.47701 106.47701 106.47701
#> 125 126 126 126 126 126 126 126
#> 106.47701 105.87882 105.87882 105.87882 105.87882 105.87882 105.87882 105.87882
#> 126 127 127 127 127 127 127 127
#> 105.87882 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487
#> 127 127 128 128 128 128 128 128
#> 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487
#> 128 128 128 129 129 129 129 129
#> 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487 98.94487
#> 129 129 129 129 130 130 130 130
#> 98.94487 98.94487 98.94487 98.94487 105.19992 105.19992 105.19992 105.19992
#> 130 130 130 130 130 131 131 131
#> 105.19992 105.19992 105.19992 105.19992 105.19992 100.83339 100.83339 100.83339
#> 131 131 131 131 131 131 132 132
#> 100.83339 100.83339 100.83339 100.83339 100.83339 100.83339 111.26388 111.26388
#> 132 132 132 132 132 132 132 133
#> 111.26388 111.26388 111.26388 111.26388 111.26388 111.26388 111.26388 101.80556
#> 133 133 133 133 133 133 133 133
#> 101.80556 101.80556 101.80556 101.80556 101.80556 101.80556 101.80556 101.80556
#> 134 134 134 134 134 134 134 134
#> 105.70158 105.70158 105.70158 105.70158 105.70158 105.70158 105.70158 105.70158
#> 134 135 135 135 135 135 135 135
#> 105.70158 106.22377 106.22377 106.22377 106.22377 106.22377 106.22377 106.22377
#> 135 135 136 136 136 136 136 136
#> 106.22377 106.22377 105.70158 105.70158 105.70158 105.70158 105.70158 105.70158
#> 136 136 136 137 137 137 137 137
#> 105.70158 105.70158 105.70158 101.63611 101.63611 101.63611 101.63611 101.63611
#> 137 137 137 137 138 138 138 138
#> 101.63611 101.63611 101.63611 101.63611 100.88299 100.88299 100.88299 100.88299
#> 138 138 138 138 138 139 139 139
#> 100.88299 100.88299 100.88299 100.88299 100.88299 100.86314 100.86314 100.86314
#> 139 139 139 139 139 139 140 140
#> 100.86314 100.86314 100.86314 100.86314 100.86314 100.86314 104.81324 104.81324
#> 140 140 140 140 140 140 140
#> 104.81324 104.81324 104.81324 104.81324 104.81324 104.81324 NA
Within(z2, na.rm = TRUE) # only the NA observation is lost
#> 1-1977 1-1978 1-1979 1-1980 1-1981 1-1982
#> -3.06791471 -1.41821071 0.83318529 1.77498629 0.78298429 -0.16001671
#> 1-1983 2-1977 2-1978 2-1979 2-1980 2-1981
#> 1.25498629 -3.06791471 -1.41821071 0.83318529 1.77498629 0.78298429
#> 2-1982 2-1983 3-1977 3-1978 3-1979 3-1980
#> -0.16001671 1.25498629 -3.06791471 -1.41821071 0.83318529 1.77498629
#> 3-1981 3-1982 3-1983 4-1977 4-1978 4-1979
#> 0.78298429 -0.16001671 1.25498629 10.89630057 12.82910057 11.50590057
#> 4-1980 4-1981 4-1982 4-1983 5-1976 5-1977
#> 4.59040057 -9.77199843 -15.12780343 -14.92190043 -3.50951329 -1.90481529
#> 5-1978 5-1979 5-1980 5-1981 5-1982 6-1976
#> 0.40768471 2.07488571 1.71368571 0.11838571 1.09968671 -1.56061486
#> 6-1977 6-1978 6-1979 6-1980 6-1981 6-1982
#> 2.69398514 4.34578514 6.78598514 -2.40651486 -4.83591386 -5.02271186
#> 7-1976 7-1977 7-1978 7-1979 7-1980 7-1981
#> 0.27882886 2.99152886 4.43122886 7.07152886 -4.48757114 -5.09107114
#> 7-1982 8-1976 8-1977 8-1978 8-1979 8-1980
#> -5.19447314 0.27882886 2.99152886 4.43122886 7.07152886 -4.48757114
#> 8-1981 8-1982 9-1976 9-1977 9-1978 9-1979
#> -5.09107114 -5.19447314 -1.56061486 2.69398514 4.34578514 6.78598514
#> 9-1980 9-1981 9-1982 10-1976 10-1977 10-1978
#> -2.40651486 -4.83591386 -5.02271186 -3.21428471 -1.84848571 0.65331429
#> 10-1979 10-1980 10-1981 10-1982 11-1976 11-1977
#> 2.15351529 1.42001529 -0.34758571 1.18351129 0.27882886 2.99152886
#> 11-1978 11-1979 11-1980 11-1981 11-1982 12-1976
#> 4.43122886 7.07152886 -4.48757114 -5.09107114 -5.19447314 0.27882886
#> 12-1977 12-1978 12-1979 12-1980 12-1981 12-1982
#> 2.99152886 4.43122886 7.07152886 -4.48757114 -5.09107114 -5.19447314
#> 13-1976 13-1977 13-1978 13-1979 13-1980 13-1981
#> 10.73907143 12.89757143 10.36207143 9.95857143 -8.76292857 -16.99442957
#> 13-1982 14-1978 14-1979 14-1980 14-1981 14-1982
#> -18.19992757 18.14043000 15.39623000 9.66703000 -9.88857300 -12.00337200
#> 14-1983 14-1984 15-1977 15-1978 15-1979 15-1980
#> -12.05177300 -9.25997200 3.76011414 6.60791414 9.12301414 4.39191414
#> 15-1981 15-1982 15-1983 16-1976 16-1977 16-1978
#> -4.98228386 -9.57408886 -9.32658386 11.61428614 10.91428614 8.01428614
#> 16-1979 16-1980 16-1981 16-1982 17-1977 17-1978
#> 4.11428614 -4.78571386 -15.58571686 -14.28571386 14.03528686 14.25788686
#> 17-1979 17-1980 17-1981 17-1982 17-1983 18-1977
#> 11.51368686 5.78448686 -13.77111614 -15.88591514 -15.93431614 12.49285671
#> 18-1978 18-1979 18-1980 18-1981 18-1982 18-1983
#> 11.24285671 8.09285671 2.94285671 -6.43214029 -14.20714129 -14.13214529
#> 19-1976 19-1977 19-1978 19-1979 19-1980 19-1981
#> 11.61428614 10.91428614 8.01428614 4.11428614 -4.78571386 -15.58571686
#> 19-1982 20-1977 20-1978 20-1979 20-1980 20-1981
#> -14.28571386 12.49285671 11.24285671 8.09285671 2.94285671 -6.43214029
#> 20-1982 20-1983 21-1977 21-1978 21-1979 21-1980
#> -14.20714129 -14.13214529 12.49285671 11.24285671 8.09285671 2.94285671
#> 21-1981 21-1982 21-1983 22-1976 22-1977 22-1978
#> -6.43214029 -14.20714129 -14.13214529 11.61428614 10.91428614 8.01428614
#> 22-1979 22-1980 22-1981 22-1982 23-1976 23-1977
#> 4.11428614 -4.78571386 -15.58571686 -14.28571386 11.61428614 10.91428614
#> 23-1978 23-1979 23-1980 23-1981 23-1982 24-1976
#> 8.01428614 4.11428614 -4.78571386 -15.58571686 -14.28571386 11.61428614
#> 24-1977 24-1978 24-1979 24-1980 24-1981 24-1982
#> 10.91428614 8.01428614 4.11428614 -4.78571386 -15.58571686 -14.28571386
#> 25-1976 25-1977 25-1978 25-1979 25-1980 25-1981
#> 11.61428614 10.91428614 8.01428614 4.11428614 -4.78571386 -15.58571686
#> 25-1982 26-1976 26-1977 26-1978 26-1979 26-1980
#> -14.28571386 11.61428614 10.91428614 8.01428614 4.11428614 -4.78571386
#> 26-1981 26-1982 27-1978 27-1979 27-1980 27-1981
#> -15.58571686 -14.28571386 16.27142843 12.37142843 3.47142843 -7.32857457
#> 27-1982 27-1983 27-1984 28-1977 28-1978 28-1979
#> -6.02857157 -9.62856957 -9.12856957 -4.55595871 -0.30595871 4.06074429
#> 28-1980 28-1981 28-1982 28-1983 29-1977 29-1978
#> 3.51074429 0.98574329 -4.24765471 0.55234029 -3.69285971 0.80714329
#> 29-1979 29-1980 29-1981 29-1982 29-1983 30-1976
#> 3.00714329 1.70714329 -2.44285971 -3.34285371 3.95714329 11.61428614
#> 30-1977 30-1978 30-1979 30-1980 30-1981 30-1982
#> 10.91428614 8.01428614 4.11428614 -4.78571386 -15.58571686 -14.28571386
#> 31-1976 31-1977 31-1978 31-1979 31-1980 31-1981
#> 0.27882886 2.99152886 4.43122886 7.07152886 -4.48757114 -5.09107114
#> 31-1982 32-1977 32-1978 32-1979 32-1980 32-1981
#> -5.19447314 -3.52024114 1.02975586 2.79645586 1.34645586 -3.12854014
#> 32-1982 32-1983 33-1976 33-1977 33-1978 33-1979
#> -3.16194214 4.63805586 -4.72857343 -0.52856843 4.27142857 3.87142857
#> 33-1980 33-1981 33-1982 34-1977 34-1978 34-1979
#> 1.67142857 -4.42856943 -0.12857443 -3.69285971 0.80714329 3.00714329
#> 34-1980 34-1981 34-1982 34-1983 35-1977 35-1978
#> 1.70714329 -2.44285971 -3.34285371 3.95714329 -4.21071200 0.13928600
#> 35-1979 35-1980 35-1981 35-1982 35-1983 36-1976
#> 3.63928600 2.78928600 -0.38571600 -3.88571600 1.91428600 -4.72857343
#> 36-1977 36-1978 36-1979 36-1980 36-1981 36-1982
#> -0.52856843 4.27142857 3.87142857 1.67142857 -4.42856943 -0.12857443
#> 37-1977 37-1978 37-1979 37-1980 37-1981 37-1982
#> 12.49285671 11.24285671 8.09285671 2.94285671 -6.43214029 -14.20714129
#> 37-1983 38-1976 38-1977 38-1978 38-1979 38-1980
#> -14.13214529 4.69570100 7.48850100 6.38340100 3.08780100 -1.47899900
#> 38-1981 38-1982 39-1977 39-1978 39-1979 39-1980
#> -8.73600300 -11.44040200 12.49285671 11.24285671 8.09285671 2.94285671
#> 39-1981 39-1982 39-1983 40-1976 40-1977 40-1978
#> -6.43214029 -14.20714129 -14.13214529 4.44588629 6.15958629 6.02898629
#> 40-1979 40-1980 40-1981 40-1982 41-1977 41-1978
#> 3.28098629 -0.96801371 -7.55241671 -11.39501471 12.49285671 11.24285671
#> 41-1979 41-1980 41-1981 41-1982 41-1983 42-1976
#> 8.09285671 2.94285671 -6.43214029 -14.20714129 -14.13214529 4.69570100
#> 42-1977 42-1978 42-1979 42-1980 42-1981 42-1982
#> 7.48850100 6.38340100 3.08780100 -1.47899900 -8.73600300 -11.44040200
#> 43-1977 43-1978 43-1979 43-1980 43-1981 43-1982
#> 14.03528686 14.25788686 11.51368686 5.78448686 -13.77111614 -15.88591514
#> 43-1983 44-1977 44-1978 44-1979 44-1980 44-1981
#> -15.93431614 12.49285671 11.24285671 8.09285671 2.94285671 -6.43214029
#> 44-1982 44-1983 45-1977 45-1978 45-1979 45-1980
#> -14.20714129 -14.13214529 14.03528686 14.25788686 11.51368686 5.78448686
#> 45-1981 45-1982 45-1983 46-1976 46-1977 46-1978
#> -13.77111614 -15.88591514 -15.93431614 12.63397157 14.23567157 10.32107157
#> 46-1979 46-1980 46-1981 46-1982 47-1976 47-1977
#> 11.08797157 -14.12962843 -16.69913243 -17.44992543 11.61428614 10.91428614
#> 47-1978 47-1979 47-1980 47-1981 47-1982 48-1976
#> 8.01428614 4.11428614 -4.78571386 -15.58571686 -14.28571386 12.63397157
#> 48-1977 48-1978 48-1979 48-1980 48-1981 48-1982
#> 14.23567157 10.32107157 11.08797157 -14.12962843 -16.69913243 -17.44992543
#> 49-1976 49-1977 49-1978 49-1979 49-1980 49-1981
#> 11.71785643 9.99285643 7.64285643 3.99285643 -3.65714357 -13.98214157
#> 49-1982 50-1976 50-1977 50-1978 50-1979 50-1980
#> -15.70714057 4.69570100 7.48850100 6.38340100 3.08780100 -1.47899900
#> 50-1981 50-1982 51-1976 51-1977 51-1978 51-1979
#> -8.73600300 -11.44040200 10.73907143 12.89757143 10.36207143 9.95857143
#> 51-1980 51-1981 51-1982 52-1976 52-1977 52-1978
#> -8.76292857 -16.99442957 -18.19992757 11.61428614 10.91428614 8.01428614
#> 52-1979 52-1980 52-1981 52-1982 53-1977 53-1978
#> 4.11428614 -4.78571386 -15.58571686 -14.28571386 12.49285671 11.24285671
#> 53-1979 53-1980 53-1981 53-1982 53-1983 54-1977
#> 8.09285671 2.94285671 -6.43214029 -14.20714129 -14.13214529 14.03528686
#> 54-1978 54-1979 54-1980 54-1981 54-1982 54-1983
#> 14.25788686 11.51368686 5.78448686 -13.77111614 -15.88591514 -15.93431614
#> 55-1976 55-1977 55-1978 55-1979 55-1980 55-1981
#> 11.61428614 10.91428614 8.01428614 4.11428614 -4.78571386 -15.58571686
#> 55-1982 56-1976 56-1977 56-1978 56-1979 56-1980
#> -14.28571386 12.63397157 14.23567157 10.32107157 11.08797157 -14.12962843
#> 56-1981 56-1982 57-1977 57-1978 57-1979 57-1980
#> -16.69913243 -17.44992543 10.33554357 12.66834357 11.35914357 5.81364357
#> 57-1981 57-1982 57-1983 58-1976 58-1977 58-1978
#> -9.42685943 -15.27815543 -15.47165943 11.61428614 10.91428614 8.01428614
#> 58-1979 58-1980 58-1981 58-1982 59-1977 59-1978
#> 4.11428614 -4.78571386 -15.58571686 -14.28571386 10.33554357 12.66834357
#> 59-1979 59-1980 59-1981 59-1982 59-1983 60-1976
#> 11.35914357 5.81364357 -9.42685943 -15.27815543 -15.47165943 1.47111400
#> 60-1977 60-1978 60-1979 60-1980 60-1981 60-1982
#> 4.60841400 7.16651400 9.63871400 -2.29578600 -9.10958300 -11.47938700
#> 61-1977 61-1978 61-1979 61-1980 61-1981 61-1982
#> 2.61561471 5.60811471 8.14481471 7.01531471 -3.63898529 -9.34188829
#> 61-1983 62-1977 62-1978 62-1979 62-1980 62-1981
#> -10.40298529 10.33554357 12.66834357 11.35914357 5.81364357 -9.42685943
#> 62-1982 62-1983 63-1976 63-1977 63-1978 63-1979
#> -15.27815543 -15.47165943 6.94285686 6.04285686 8.74285686 7.84285686
#> 63-1980 63-1981 63-1982 64-1976 64-1977 64-1978
#> -3.15714314 -14.15714314 -12.25714114 6.94285686 6.04285686 8.74285686
#> 64-1979 64-1980 64-1981 64-1982 65-1976 65-1977
#> 7.84285686 -3.15714314 -14.15714314 -12.25714114 6.94285686 6.04285686
#> 65-1978 65-1979 65-1980 65-1981 65-1982 66-1977
#> 8.74285686 7.84285686 -3.15714314 -14.15714314 -12.25714114 7.29642857
#> 66-1978 66-1979 66-1980 66-1981 66-1982 66-1983
#> 7.29642857 9.09642857 5.67142857 -5.32857143 -13.10357343 -10.92856943
#> 67-1976 67-1977 67-1978 67-1979 67-1980 67-1981
#> 8.65339957 12.18599957 10.91909957 9.48319957 -8.39140043 -15.72929843
#> 67-1982 68-1976 68-1977 68-1978 68-1979 68-1980
#> -17.12099943 6.94285686 6.04285686 8.74285686 7.84285686 -3.15714314
#> 68-1981 68-1982 69-1977 69-1978 69-1979 69-1980
#> -14.15714314 -12.25714114 7.29642857 7.29642857 9.09642857 5.67142857
#> 69-1981 69-1982 69-1983 70-1977 70-1978 70-1979
#> -5.32857143 -13.10357343 -10.92856943 2.61561471 5.60811471 8.14481471
#> 70-1980 70-1981 70-1982 70-1983 71-1976 71-1977
#> 7.01531471 -3.63898529 -9.34188829 -10.40298529 -0.05134300 3.53825700
#> 71-1978 71-1979 71-1980 71-1981 71-1982 72-1976
#> 6.24115700 8.73485700 0.40195700 -7.69204000 -11.17284500 1.47111400
#> 72-1977 72-1978 72-1979 72-1980 72-1981 72-1982
#> 4.60841400 7.16651400 9.63871400 -2.29578600 -9.10958300 -11.47938700
#> 73-1977 73-1978 73-1979 73-1980 73-1981 73-1982
#> 2.61561471 5.60811471 8.14481471 7.01531471 -3.63898529 -9.34188829
#> 73-1983 74-1977 74-1978 74-1979 74-1980 74-1981
#> -10.40298529 2.61561471 5.60811471 8.14481471 7.01531471 -3.63898529
#> 74-1982 74-1983 75-1976 75-1977 75-1978 75-1979
#> -9.34188829 -10.40298529 1.47111400 4.60841400 7.16651400 9.63871400
#> 75-1980 75-1981 75-1982 76-1976 76-1977 76-1978
#> -2.29578600 -9.10958300 -11.47938700 -0.05134300 3.53825700 6.24115700
#> 76-1979 76-1980 76-1981 76-1982 77-1977 77-1978
#> 8.73485700 0.40195700 -7.69204000 -11.17284500 2.61561471 5.60811471
#> 77-1979 77-1980 77-1981 77-1982 77-1983 78-1976
#> 8.14481471 7.01531471 -3.63898529 -9.34188829 -10.40298529 -0.05134300
#> 78-1977 78-1978 78-1979 78-1980 78-1981 78-1982
#> 3.53825700 6.24115700 8.73485700 0.40195700 -7.69204000 -11.17284500
#> 79-1976 79-1977 79-1978 79-1979 79-1980 79-1981
#> -4.72857343 -0.52856843 4.27142857 3.87142857 1.67142857 -4.42856943
#> 79-1982 80-1976 80-1977 80-1978 80-1979 80-1980
#> -0.12857443 1.47111400 4.60841400 7.16651400 9.63871400 -2.29578600
#> 80-1981 80-1982 81-1976 81-1977 81-1978 81-1979
#> -9.10958300 -11.47938700 11.61428614 10.91428614 8.01428614 4.11428614
#> 81-1980 81-1981 81-1982 82-1976 82-1977 82-1978
#> -4.78571386 -15.58571686 -14.28571386 11.61428614 10.91428614 8.01428614
#> 82-1979 82-1980 82-1981 82-1982 83-1977 83-1978
#> 4.11428614 -4.78571386 -15.58571686 -14.28571386 14.03528686 14.25788686
#> 83-1979 83-1980 83-1981 83-1982 83-1983 84-1976
#> 11.51368686 5.78448686 -13.77111614 -15.88591514 -15.93431614 -3.65719771
#> 84-1977 84-1978 84-1979 84-1980 84-1981 84-1982
#> -1.93290171 0.28490229 2.03549929 1.86049929 0.35140029 1.05779829
#> 85-1976 85-1977 85-1978 85-1979 85-1980 85-1981
#> -4.41908729 -1.15238729 3.54761471 4.01431471 2.11431471 -3.33568329
#> 85-1982 86-1976 86-1977 86-1978 86-1979 86-1980
#> -0.76908629 -3.65719771 -1.93290171 0.28490229 2.03549929 1.86049929
#> 86-1981 86-1982 87-1976 87-1977 87-1978 87-1979
#> 0.35140029 1.05779829 11.61428614 10.91428614 8.01428614 4.11428614
#> 87-1980 87-1981 87-1982 88-1976 88-1977 88-1978
#> -4.78571386 -15.58571686 -14.28571386 6.94285686 6.04285686 8.74285686
#> 88-1979 88-1980 88-1981 88-1982 89-1976 89-1977
#> 7.84285686 -3.15714314 -14.15714314 -12.25714114 6.94285686 6.04285686
#> 89-1978 89-1979 89-1980 89-1981 89-1982 90-1976
#> 8.74285686 7.84285686 -3.15714314 -14.15714314 -12.25714114 6.21428529
#> 90-1977 90-1978 90-1979 90-1980 90-1981 90-1982
#> 5.58928529 7.38928529 7.38928529 -1.08571471 -12.08571471 -13.41071171
#> 91-1976 91-1977 91-1978 91-1979 91-1980 91-1981
#> 0.27882886 2.99152886 4.43122886 7.07152886 -4.48757114 -5.09107114
#> 91-1982 92-1976 92-1977 92-1978 92-1979 92-1980
#> -5.19447314 -3.49051229 -3.02381429 1.37618771 4.44288571 3.44288571
#> 92-1981 92-1982 93-1977 93-1978 93-1979 93-1980
#> -0.05711629 -2.69051629 -4.21071200 0.13928600 3.63928600 2.78928600
#> 93-1981 93-1982 93-1983 94-1976 94-1977 94-1978
#> -0.38571600 -3.88571600 1.91428600 11.71785643 9.99285643 7.64285643
#> 94-1979 94-1980 94-1981 94-1982 95-1976 95-1977
#> 3.99285643 -3.65714357 -13.98214157 -15.70714057 12.63397157 14.23567157
#> 95-1978 95-1979 95-1980 95-1981 95-1982 96-1976
#> 10.32107157 11.08797157 -14.12962843 -16.69913243 -17.44992543 12.63397157
#> 96-1977 96-1978 96-1979 96-1980 96-1981 96-1982
#> 14.23567157 10.32107157 11.08797157 -14.12962843 -16.69913243 -17.44992543
#> 97-1976 97-1977 97-1978 97-1979 97-1980 97-1981
#> 11.71785643 9.99285643 7.64285643 3.99285643 -3.65714357 -13.98214157
#> 97-1982 98-1977 98-1978 98-1979 98-1980 98-1981
#> -15.70714057 14.03528686 14.25788686 11.51368686 5.78448686 -13.77111614
#> 98-1982 98-1983 99-1977 99-1978 99-1979 99-1980
#> -15.88591514 -15.93431614 2.61561471 5.60811471 8.14481471 7.01531471
#> 99-1981 99-1982 99-1983 100-1977 100-1978 100-1979
#> -3.63898529 -9.34188829 -10.40298529 15.90370029 14.28760029 13.10390029
#> 100-1980 100-1981 100-1982 100-1983 101-1977 101-1978
#> -1.28689971 -13.29310071 -14.80169971 -13.91350071 10.33554357 12.66834357
#> 101-1979 101-1980 101-1981 101-1982 101-1983 102-1977
#> 11.35914357 5.81364357 -9.42685943 -15.27815543 -15.47165943 0.87395771
#> 102-1978 102-1979 102-1980 102-1981 102-1982 102-1983
#> 3.26835771 5.00825771 4.09865771 -4.72154429 -5.20004429 -3.32764229
#> 103-1976 103-1977 103-1978 103-1979 103-1980 103-1981
#> -4.72857343 -0.52856843 4.27142857 3.87142857 1.67142857 -4.42856943
#> 103-1982 104-1977 104-1978 104-1979 104-1980 104-1981
#> -0.12857443 -3.31511262 -1.57071262 0.59718738 1.35288838 0.27468538
#> 104-1982 104-1983 104-1984 105-1977 105-1978 105-1979
#> -0.39341262 0.98278837 2.07168838 -3.13482588 -1.01172488 0.82237512
#> 105-1980 105-1981 105-1982 105-1983 105-1984 106-1977
#> 0.83347512 -0.58942288 -0.15792688 1.06337512 2.17467512 -3.08976375
#> 106-1978 106-1979 106-1980 106-1981 106-1982 106-1983
#> -0.87195975 0.87863725 0.70363725 -0.80546175 -0.09906375 1.08353725
#> 106-1984 107-1977 107-1978 107-1979 107-1980 107-1981
#> 2.20043725 -3.36018800 -1.71048400 0.54091200 1.48271300 0.49071100
#> 107-1982 107-1983 107-1984 108-1977 108-1978 108-1979
#> -0.45229000 0.96271300 2.04591300 -3.36018800 -1.71048400 0.54091200
#> 108-1980 108-1981 108-1982 108-1983 108-1984 109-1977
#> 1.48271300 0.49071100 -0.45229000 0.96271300 2.04591300 -3.08976375
#> 109-1978 109-1979 109-1980 109-1981 109-1982 109-1983
#> -0.87195975 0.87863725 0.70363725 -0.80546175 -0.09906375 1.08353725
#> 109-1984 110-1977 110-1978 110-1979 110-1980 110-1981
#> 2.20043725 15.67810125 15.90070125 13.15650125 7.42730125 -12.12830175
#> 110-1982 110-1983 110-1984 111-1977 111-1978 111-1979
#> -14.24310075 -14.29150175 -11.49970075 15.31250063 13.51250063 10.11250063
#> 111-1980 111-1981 111-1982 111-1983 111-1984 112-1977
#> 3.71250063 -6.13750137 -10.88750137 -12.03750237 -13.58749737 7.55007488
#> 112-1978 112-1979 112-1980 112-1981 112-1982 112-1983
#> 9.36837488 7.71567488 4.10227488 -1.13702612 -7.25592312 -9.47992212
#> 112-1984 113-1976 113-1977 113-1978 113-1979 113-1980
#> -10.86352812 -5.22812800 -2.42812500 2.22187500 3.12187500 1.37187500
#> 113-1981 113-1982 113-1983 114-1977 114-1978 114-1979
#> -3.75312200 -2.05312500 6.74687500 16.29372437 15.02682437 13.59092437
#> 114-1980 114-1981 114-1982 114-1983 114-1984 115-1977
#> -4.28367563 -11.62157363 -13.01327463 -9.61227363 -6.38067563 16.29372437
#> 115-1978 115-1979 115-1980 115-1981 115-1982 115-1983
#> 15.02682437 13.59092437 -4.28367563 -11.62157363 -13.01327463 -9.61227363
#> 115-1984 116-1977 116-1978 116-1979 116-1980 116-1981
#> -6.38067563 11.35598825 14.08858825 12.79358825 8.61788825 -7.50061175
#> 116-1982 116-1983 116-1984 117-1977 117-1978 117-1979
#> -13.84741275 -14.44041575 -11.06761275 1.57952525 3.01922525 5.65952525
#> 117-1980 117-1981 117-1982 117-1983 117-1984 118-1976
#> -5.89957475 -6.50307475 -6.60647675 1.19332525 7.55752525 8.30348800
#> 118-1977 118-1978 118-1979 118-1980 118-1981 118-1982
#> 9.71008800 11.64288800 10.31968800 3.40418800 -10.95821100 -16.31401600
#> 118-1983 119-1977 119-1978 119-1979 119-1980 119-1981
#> -16.10811300 8.34687462 8.34687462 10.14687462 6.72187462 -4.27812538
#> 119-1982 119-1983 119-1984 120-1977 120-1978 120-1979
#> -12.05312738 -9.87812338 -7.35312237 4.81687425 7.61627425 10.12427425
#> 120-1980 120-1981 120-1982 120-1983 120-1984 121-1977
#> 4.19257425 -4.75482675 -8.97632375 -8.29262275 -4.72622375 3.52030075
#> 121-1978 121-1979 121-1980 121-1981 121-1982 121-1983
#> 6.51280075 9.04950075 7.92000075 -2.73429925 -8.43720225 -9.49829925
#> 121-1984 122-1976 122-1977 122-1978 122-1979 122-1980
#> -6.33280225 2.54792513 5.68522513 8.24332512 10.71552512 -1.21897488
#> 122-1981 122-1982 122-1983 123-1976 123-1977 123-1978
#> -8.03277187 -10.40257587 -7.53767787 2.54792513 5.68522513 8.24332512
#> 123-1979 123-1980 123-1981 123-1982 123-1983 124-1977
#> 10.71552512 -1.21897488 -8.03277187 -10.40257587 -7.53767787 8.18229988
#> 124-1978 124-1979 124-1980 124-1981 124-1982 124-1983
#> 7.58229988 9.98229988 8.24059988 -2.75940212 -12.68439812 -10.69269812
#> 124-1984 125-1977 125-1978 125-1979 125-1980 125-1981
#> -7.85100112 10.86218763 13.99478763 12.71378762 9.90808762 -7.08851637
#> 125-1982 125-1983 125-1984 126-1977 126-1978 126-1979
#> -13.93080837 -14.92321037 -11.53631538 12.34347600 14.27627600 12.95307600
#> 126-1980 126-1981 126-1982 126-1983 126-1984 127-1976
#> 6.03757600 -8.32482300 -13.68062800 -13.47472500 -10.13022800 -4.27916422
#> 127-1977 127-1978 127-1979 127-1980 127-1981 127-1982
#> -2.55486822 -0.33706422 1.41353278 1.23853278 -0.27056622 0.43583178
#> 127-1983 127-1984 128-1976 128-1977 128-1978 128-1979
#> 1.61843278 2.73533278 -4.27916422 -2.55486822 -0.33706422 1.41353278
#> 128-1980 128-1981 128-1982 128-1983 128-1984 129-1976
#> 1.23853278 -0.27056622 0.43583178 1.61843278 2.73533278 -4.27916422
#> 129-1977 129-1978 129-1979 129-1980 129-1981 129-1982
#> -2.55486822 -0.33706422 1.41353278 1.23853278 -0.27056622 0.43583178
#> 129-1983 129-1984 130-1976 130-1977 130-1978 130-1979
#> 1.61843278 2.73533278 -3.42452244 1.60097756 3.35897756 5.69907756
#> 130-1980 130-1981 130-1982 130-1983 130-1984 131-1976
#> -2.31012244 -5.65252144 -5.88102144 -0.05702244 6.66617756 2.93351089
#> 131-1977 131-1978 131-1979 131-1980 131-1981 131-1982
#> 6.07081089 8.62891089 11.10111089 -0.83338911 -7.64718611 -10.01699011
#> 131-1983 131-1984 132-1976 132-1977 132-1978 132-1979
#> -7.15209211 -3.08468611 15.49972211 17.10142211 13.18682211 13.95372211
#> 132-1980 132-1981 132-1982 132-1983 132-1984 133-1976
#> -11.26387789 -13.83338189 -14.58417489 -12.52527589 -7.53497789 15.79444333
#> 133-1977 133-1978 133-1979 133-1980 133-1981 133-1982
#> 14.06944333 11.71944333 8.06944333 0.41944333 -9.90555467 -11.63055367
#> 133-1983 133-1984 134-1976 134-1977 134-1978 134-1979
#> -14.00555367 -14.53055467 11.34322167 14.87582167 13.60892167 12.17302167
#> 134-1980 134-1981 134-1982 134-1983 134-1984 135-1976
#> -5.70157833 -13.03947633 -14.43117733 -11.03017633 -7.79857833 10.73513378
#> 135-1977 135-1978 135-1979 135-1980 135-1981 135-1982
#> 13.47053378 13.40343378 12.00983378 -1.75506622 -11.72716922 -14.60546522
#> 135-1983 135-1984 136-1976 136-1977 136-1978 136-1979
#> -12.40256822 -9.12866622 11.34322167 14.87582167 13.60892167 12.17302167
#> 136-1980 136-1981 136-1982 136-1983 136-1984 137-1976
#> -5.70157833 -13.03947633 -14.43117733 -11.03017633 -7.79857833 8.41388856
#> 137-1977 137-1978 137-1979 137-1980 137-1981 137-1982
#> 7.78888856 9.58888856 9.58888856 1.11388856 -9.88611144 -11.21110844
#> 137-1983 137-1984 138-1976 138-1977 138-1978 138-1979
#> -8.48610944 -6.91111344 0.82291044 4.71401044 7.51341044 10.02141044
#> 138-1980 138-1981 138-1982 138-1983 138-1984 139-1976
#> 4.08971044 -4.85769056 -9.07918756 -8.39548656 -4.82908756 1.66715633
#> 139-1977 139-1978 139-1979 139-1980 139-1981 139-1982
#> 5.25675633 7.95965633 10.45335633 2.12045633 -5.97354067 -9.45434567
#> 139-1983 139-1984 140-1976 140-1977 140-1978 140-1979
#> -7.89814767 -4.13134767 -0.04683725 2.66586275 4.10556275 6.74586275
#> 140-1980 140-1981 140-1982 140-1983 140-1984
#> -4.81323725 -5.41673725 -5.52013925 2.27966275 NA
Sum(z2, na.rm = TRUE) # only the NA observation is lost
#> 1 1 1 1 1 1 1 2
#> 691.4258 691.4258 691.4258 691.4258 691.4258 691.4258 691.4258 691.4258
#> 2 2 2 2 2 2 3 3
#> 691.4258 691.4258 691.4258 691.4258 691.4258 691.4258 691.4258 691.4258
#> 3 3 3 3 3 4 4 4
#> 691.4258 691.4258 691.4258 691.4258 691.4258 751.2820 751.2820 751.2820
#> 4 4 4 4 5 5 5 5
#> 751.2820 751.2820 751.2820 751.2820 688.8603 688.8603 688.8603 688.8603
#> 5 5 5 6 6 6 6 6
#> 688.8603 688.8603 688.8603 730.3311 730.3311 730.3311 730.3311 730.3311
#> 6 6 7 7 7 7 7 7
#> 730.3311 730.3311 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130
#> 7 8 8 8 8 8 8 8
#> 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130
#> 9 9 9 9 9 9 9 10
#> 730.3311 730.3311 730.3311 730.3311 730.3311 730.3311 730.3311 690.0599
#> 10 10 10 10 10 10 11 11
#> 690.0599 690.0599 690.0599 690.0599 690.0599 690.0599 731.4130 731.4130
#> 11 11 11 11 11 12 12 12
#> 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130
#> 12 12 12 12 13 13 13 13
#> 731.4130 731.4130 731.4130 731.4130 805.4713 805.4713 805.4713 805.4713
#> 13 13 13 14 14 14 14 14
#> 805.4713 805.4713 805.4713 764.7232 764.7232 764.7232 764.7232 764.7232
#> 14 14 15 15 15 15 15 15
#> 764.7232 764.7232 711.0277 711.0277 711.0277 711.0277 711.0277 711.0277
#> 15 16 16 16 16 16 16 16
#> 711.0277 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 17 17 17 17 17 17 17 18
#> 791.9010 791.9010 791.9010 791.9010 791.9010 791.9010 791.9010 726.1250
#> 18 18 18 18 18 18 19 19
#> 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250 733.5000 733.5000
#> 19 19 19 19 19 20 20 20
#> 733.5000 733.5000 733.5000 733.5000 733.5000 726.1250 726.1250 726.1250
#> 20 20 20 20 21 21 21 21
#> 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250
#> 21 21 21 22 22 22 22 22
#> 726.1250 726.1250 726.1250 733.5000 733.5000 733.5000 733.5000 733.5000
#> 22 22 23 23 23 23 23 23
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 23 24 24 24 24 24 24 24
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 25 25 25 25 25 25 25 26
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 26 26 26 26 26 26 27 27
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 675.7000 675.7000
#> 27 27 27 27 27 28 28 28
#> 675.7000 675.7000 675.7000 675.7000 675.7000 689.5417 689.5417 689.5417
#> 28 28 28 28 29 29 29 29
#> 689.5417 689.5417 689.5417 689.5417 695.7500 695.7500 695.7500 695.7500
#> 29 29 29 30 30 30 30 30
#> 695.7500 695.7500 695.7500 733.5000 733.5000 733.5000 733.5000 733.5000
#> 30 30 31 31 31 31 31 31
#> 733.5000 733.5000 731.4130 731.4130 731.4130 731.4130 731.4130 731.4130
#> 31 32 32 32 32 32 32 32
#> 731.4130 696.9917 696.9917 696.9917 696.9917 696.9917 696.9917 696.9917
#> 33 33 33 33 33 33 33 34
#> 688.3000 688.3000 688.3000 688.3000 688.3000 688.3000 688.3000 695.7500
#> 34 34 34 34 34 34 35 35
#> 695.7500 695.7500 695.7500 695.7500 695.7500 695.7500 692.0250 692.0250
#> 35 35 35 35 35 36 36 36
#> 692.0250 692.0250 692.0250 692.0250 692.0250 688.3000 688.3000 688.3000
#> 36 36 36 36 37 37 37 37
#> 688.3000 688.3000 688.3000 688.3000 726.1250 726.1250 726.1250 726.1250
#> 37 37 37 38 38 38 38 38
#> 726.1250 726.1250 726.1250 710.3530 710.3530 710.3530 710.3530 710.3530
#> 38 38 39 39 39 39 39 39
#> 710.3530 710.3530 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250
#> 39 40 40 40 40 40 40 40
#> 726.1250 714.7680 714.7680 714.7680 714.7680 714.7680 714.7680 714.7680
#> 41 41 41 41 41 41 41 42
#> 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250 726.1250 710.3530
#> 42 42 42 42 42 42 43 43
#> 710.3530 710.3530 710.3530 710.3530 710.3530 710.3530 791.9010 791.9010
#> 43 43 43 43 43 44 44 44
#> 791.9010 791.9010 791.9010 791.9010 791.9010 726.1250 726.1250 726.1250
#> 44 44 44 44 45 45 45 45
#> 726.1250 726.1250 726.1250 726.1250 791.9010 791.9010 791.9010 791.9010
#> 45 45 45 46 46 46 46 46
#> 791.9010 791.9010 791.9010 798.9074 798.9074 798.9074 798.9074 798.9074
#> 46 46 47 47 47 47 47 47
#> 798.9074 798.9074 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 47 48 48 48 48 48 48 48
#> 733.5000 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074
#> 49 49 49 49 49 49 49 50
#> 741.1750 741.1750 741.1750 741.1750 741.1750 741.1750 741.1750 710.3530
#> 50 50 50 50 50 50 51 51
#> 710.3530 710.3530 710.3530 710.3530 710.3530 710.3530 805.4713 805.4713
#> 51 51 51 51 51 52 52 52
#> 805.4713 805.4713 805.4713 805.4713 805.4713 733.5000 733.5000 733.5000
#> 52 52 52 52 53 53 53 53
#> 733.5000 733.5000 733.5000 733.5000 726.1250 726.1250 726.1250 726.1250
#> 53 53 53 54 54 54 54 54
#> 726.1250 726.1250 726.1250 791.9010 791.9010 791.9010 791.9010 791.9010
#> 54 54 55 55 55 55 55 55
#> 791.9010 791.9010 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 55 56 56 56 56 56 56 56
#> 733.5000 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074
#> 57 57 57 57 57 57 57 58
#> 753.1465 753.1465 753.1465 753.1465 753.1465 753.1465 753.1465 733.5000
#> 58 58 58 58 58 58 59 59
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 753.1465 753.1465
#> 59 59 59 59 59 60 60 60
#> 753.1465 753.1465 753.1465 753.1465 753.1465 716.0705 716.0705 716.0705
#> 60 60 60 60 61 61 61 61
#> 716.0705 716.0705 716.0705 716.0705 713.5491 713.5491 713.5491 713.5491
#> 61 61 61 62 62 62 62 62
#> 713.5491 713.5491 713.5491 753.1465 753.1465 753.1465 753.1465 753.1465
#> 62 62 63 63 63 63 63 63
#> 753.1465 753.1465 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000
#> 63 64 64 64 64 64 64 64
#> 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000
#> 65 65 65 65 65 65 65 66
#> 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 718.0500
#> 66 66 66 66 66 66 67 67
#> 718.0500 718.0500 718.0500 718.0500 718.0500 718.0500 758.7398 758.7398
#> 67 67 67 67 67 68 68 68
#> 758.7398 758.7398 758.7398 758.7398 758.7398 722.1000 722.1000 722.1000
#> 68 68 68 68 69 69 69 69
#> 722.1000 722.1000 722.1000 722.1000 718.0500 718.0500 718.0500 718.0500
#> 69 69 69 70 70 70 70 70
#> 718.0500 718.0500 718.0500 713.5491 713.5491 713.5491 713.5491 713.5491
#> 70 70 71 71 71 71 71 71
#> 713.5491 713.5491 718.0715 718.0715 718.0715 718.0715 718.0715 718.0715
#> 71 72 72 72 72 72 72 72
#> 718.0715 716.0705 716.0705 716.0705 716.0705 716.0705 716.0705 716.0705
#> 73 73 73 73 73 73 73 74
#> 713.5491 713.5491 713.5491 713.5491 713.5491 713.5491 713.5491 713.5491
#> 74 74 74 74 74 74 75 75
#> 713.5491 713.5491 713.5491 713.5491 713.5491 713.5491 716.0705 716.0705
#> 75 75 75 75 75 76 76 76
#> 716.0705 716.0705 716.0705 716.0705 716.0705 718.0715 718.0715 718.0715
#> 76 76 76 76 77 77 77 77
#> 718.0715 718.0715 718.0715 718.0715 713.5491 713.5491 713.5491 713.5491
#> 77 77 77 78 78 78 78 78
#> 713.5491 713.5491 713.5491 718.0715 718.0715 718.0715 718.0715 718.0715
#> 78 78 79 79 79 79 79 79
#> 718.0715 718.0715 688.3000 688.3000 688.3000 688.3000 688.3000 688.3000
#> 79 80 80 80 80 80 80 80
#> 688.3000 716.0705 716.0705 716.0705 716.0705 716.0705 716.0705 716.0705
#> 81 81 81 81 81 81 81 82
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 82 82 82 82 82 82 83 83
#> 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000 791.9010 791.9010
#> 83 83 83 83 83 84 84 84
#> 791.9010 791.9010 791.9010 791.9010 791.9010 688.2603 688.2603 688.2603
#> 84 84 84 84 85 85 85 85
#> 688.2603 688.2603 688.2603 688.2603 687.7667 687.7667 687.7667 687.7667
#> 85 85 85 86 86 86 86 86
#> 687.7667 687.7667 687.7667 688.2603 688.2603 688.2603 688.2603 688.2603
#> 86 86 87 87 87 87 87 87
#> 688.2603 688.2603 733.5000 733.5000 733.5000 733.5000 733.5000 733.5000
#> 87 88 88 88 88 88 88 88
#> 733.5000 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000
#> 89 89 89 89 89 89 89 90
#> 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 722.1000 726.8500
#> 90 90 90 90 90 90 91 91
#> 726.8500 726.8500 726.8500 726.8500 726.8500 726.8500 731.4130 731.4130
#> 91 91 91 91 91 92 92 92
#> 731.4130 731.4130 731.4130 731.4130 731.4130 686.1667 686.1667 686.1667
#> 92 92 92 92 93 93 93 93
#> 686.1667 686.1667 686.1667 686.1667 692.0250 692.0250 692.0250 692.0250
#> 93 93 93 94 94 94 94 94
#> 692.0250 692.0250 692.0250 741.1750 741.1750 741.1750 741.1750 741.1750
#> 94 94 95 95 95 95 95 95
#> 741.1750 741.1750 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074
#> 95 96 96 96 96 96 96 96
#> 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074 798.9074
#> 97 97 97 97 97 97 97 98
#> 741.1750 741.1750 741.1750 741.1750 741.1750 741.1750 741.1750 791.9010
#> 98 98 98 98 98 98 99 99
#> 791.9010 791.9010 791.9010 791.9010 791.9010 791.9010 713.5491 713.5491
#> 99 99 99 99 99 100 100 100
#> 713.5491 713.5491 713.5491 713.5491 713.5491 782.5594 782.5594 782.5594
#> 100 100 100 100 101 101 101 101
#> 782.5594 782.5594 782.5594 782.5594 753.1465 753.1465 753.1465 753.1465
#> 101 101 101 102 102 102 102 102
#> 753.1465 753.1465 753.1465 731.9945 731.9945 731.9945 731.9945 731.9945
#> 102 102 103 103 103 103 103 103
#> 731.9945 731.9945 688.3000 688.3000 688.3000 688.3000 688.3000 688.3000
#> 103 104 104 104 104 104 104 104
#> 688.3000 793.0889 793.0889 793.0889 793.0889 793.0889 793.0889 793.0889
#> 104 105 105 105 105 105 105 105
#> 793.0889 795.2882 795.2882 795.2882 795.2882 795.2882 795.2882 795.2882
#> 105 106 106 106 106 106 106 106
#> 795.2882 795.8381 795.8381 795.8381 795.8381 795.8381 795.8381 795.8381
#> 106 107 107 107 107 107 107 107
#> 795.8381 792.5391 792.5391 792.5391 792.5391 792.5391 792.5391 792.5391
#> 107 108 108 108 108 108 108 108
#> 792.5391 792.5391 792.5391 792.5391 792.5391 792.5391 792.5391 792.5391
#> 108 109 109 109 109 109 109 109
#> 792.5391 795.8381 795.8381 795.8381 795.8381 795.8381 795.8381 795.8381
#> 109 110 110 110 110 110 110 110
#> 795.8381 891.8872 891.8872 891.8872 891.8872 891.8872 891.8872 891.8872
#> 110 111 111 111 111 111 111 111
#> 891.8872 805.9000 805.9000 805.9000 805.9000 805.9000 805.9000 805.9000
#> 111 112 112 112 112 112 112 112
#> 805.9000 794.5826 794.5826 794.5826 794.5826 794.5826 794.5826 794.5826
#> 112 113 113 113 113 113 113 113
#> 794.5826 793.4250 793.4250 793.4250 793.4250 793.4250 793.4250 793.4250
#> 113 114 114 114 114 114 114 114
#> 793.4250 834.2694 834.2694 834.2694 834.2694 834.2694 834.2694 834.2694
#> 114 115 115 115 115 115 115 115
#> 834.2694 834.2694 834.2694 834.2694 834.2694 834.2694 834.2694 834.2694
#> 115 116 116 116 116 116 116 116
#> 834.2694 850.2209 850.2209 850.2209 850.2209 850.2209 850.2209 850.2209
#> 116 117 117 117 117 117 117 117
#> 850.2209 847.1966 847.1966 847.1966 847.1966 847.1966 847.1966 847.1966
#> 117 118 118 118 118 118 118 118
#> 847.1966 868.0977 868.0977 868.0977 868.0977 868.0977 868.0977 868.0977
#> 118 119 119 119 119 119 119 119
#> 868.0977 812.2250 812.2250 812.2250 812.2250 812.2250 812.2250 812.2250
#> 119 120 120 120 120 120 120 120
#> 812.2250 806.2410 806.2410 806.2410 806.2410 806.2410 806.2410 806.2410
#> 120 121 121 121 121 121 121 121
#> 806.2410 808.2472 808.2472 808.2472 808.2472 808.2472 808.2472 808.2472
#> 121 122 122 122 122 122 122 122
#> 808.2472 809.7518 809.7518 809.7518 809.7518 809.7518 809.7518 809.7518
#> 122 123 123 123 123 123 123 123
#> 809.7518 809.7518 809.7518 809.7518 809.7518 809.7518 809.7518 809.7518
#> 123 124 124 124 124 124 124 124
#> 809.7518 814.7416 814.7416 814.7416 814.7416 814.7416 814.7416 814.7416
#> 124 125 125 125 125 125 125 125
#> 814.7416 851.8161 851.8161 851.8161 851.8161 851.8161 851.8161 851.8161
#> 125 126 126 126 126 126 126 126
#> 851.8161 847.0306 847.0306 847.0306 847.0306 847.0306 847.0306 847.0306
#> 126 127 127 127 127 127 127 127
#> 847.0306 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038
#> 127 127 128 128 128 128 128 128
#> 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038
#> 128 128 128 129 129 129 129 129
#> 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038 890.5038
#> 129 129 129 129 130 130 130 130
#> 890.5038 890.5038 890.5038 890.5038 946.7993 946.7993 946.7993 946.7993
#> 130 130 130 130 130 131 131 131
#> 946.7993 946.7993 946.7993 946.7993 946.7993 907.5005 907.5005 907.5005
#> 131 131 131 131 131 131 132 132
#> 907.5005 907.5005 907.5005 907.5005 907.5005 907.5005 1001.3749 1001.3749
#> 132 132 132 132 132 132 132 133
#> 1001.3749 1001.3749 1001.3749 1001.3749 1001.3749 1001.3749 1001.3749 916.2500
#> 133 133 133 133 133 133 133 133
#> 916.2500 916.2500 916.2500 916.2500 916.2500 916.2500 916.2500 916.2500
#> 134 134 134 134 134 134 134 134
#> 951.3142 951.3142 951.3142 951.3142 951.3142 951.3142 951.3142 951.3142
#> 134 135 135 135 135 135 135 135
#> 951.3142 956.0139 956.0139 956.0139 956.0139 956.0139 956.0139 956.0139
#> 135 135 136 136 136 136 136 136
#> 956.0139 956.0139 951.3142 951.3142 951.3142 951.3142 951.3142 951.3142
#> 136 136 136 137 137 137 137 137
#> 951.3142 951.3142 951.3142 914.7250 914.7250 914.7250 914.7250 914.7250
#> 137 137 137 137 138 138 138 138
#> 914.7250 914.7250 914.7250 914.7250 907.9469 907.9469 907.9469 907.9469
#> 138 138 138 138 138 139 139 139
#> 907.9469 907.9469 907.9469 907.9469 907.9469 907.7683 907.7683 907.7683
#> 139 139 139 139 139 139 140 140
#> 907.7683 907.7683 907.7683 907.7683 907.7683 907.7683 838.5059 838.5059
#> 140 140 140 140 140 140 140
#> 838.5059 838.5059 838.5059 838.5059 838.5059 838.5059 NA
sum(is.na(Between(z2))) # 9 observations lost due to one NA value
#> [1] 9
sum(is.na(Between(z2, na.rm = TRUE))) # only the NA observation is lost
#> [1] 1
sum(is.na(Within(z2))) # 9 observations lost due to one NA value
#> [1] 9
sum(is.na(Within(z2, na.rm = TRUE))) # only the NA observation is lost
#> [1] 1
sum(is.na(Sum(z2))) # 9 observations lost due to one NA value
#> [1] 9
sum(is.na(Sum(z2, na.rm = TRUE))) # only the NA observation is lost
#> [1] 1