cfibrosis.RdThis data frame concerns families data and cystic fibrosis.
data(cfibrosis)A data frame with 24 rows on the following 4 variables.
Over ascertained families, the \(k\)th ascertained family has \(s_k\) siblings of whom \(r_k\) are affected and \(a_k\) are ascertained.
The data set allows a classical segregation analysis
to be peformed. In particular,
to test Mendelian segregation ratios in nuclear family data.
The likelihood has similarities with seq2binomial.
The data is originally from Crow (1965) and appears as Table 2.3 of Lange (2002).
Crow, J. F. (1965) Problems of ascertainment in the analysis of family data. Epidemiology and Genetics of Chronic Disease. Public Health Service Publication 1163, Neel J. V., Shaw M. W., Schull W. J., editors, Department of Health, Education, and Welfare, Washington, DC, USA.
Lange, K. (2002) Mathematical and Statistical Methods for Genetic Analysis. Second Edition. Springer-Verlag: New York, USA.
cfibrosis
#> siblings affected ascertained families
#> 1 10 3 1 1
#> 2 9 3 1 1
#> 3 8 4 1 1
#> 4 7 3 2 1
#> 5 7 3 1 1
#> 6 7 2 1 1
#> 7 7 1 1 1
#> 8 6 2 1 1
#> 9 6 1 1 1
#> 10 5 3 3 1
#> 11 5 3 2 1
#> 12 5 2 1 5
#> 13 5 1 1 2
#> 14 4 3 2 1
#> 15 4 3 1 2
#> 16 4 2 1 4
#> 17 4 1 1 6
#> 18 3 2 2 3
#> 19 3 2 1 3
#> 20 3 1 1 10
#> 21 2 2 2 2
#> 22 2 2 1 4
#> 23 2 1 1 18
#> 24 1 1 1 9
summary(cfibrosis)
#> siblings affected ascertained families
#> Min. : 1.000 Min. :1.000 Min. :1.000 Min. : 1.000
#> 1st Qu.: 3.000 1st Qu.:1.000 1st Qu.:1.000 1st Qu.: 1.000
#> Median : 5.000 Median :2.000 Median :1.000 Median : 1.500
#> Mean : 4.958 Mean :2.125 Mean :1.292 Mean : 3.333
#> 3rd Qu.: 7.000 3rd Qu.:3.000 3rd Qu.:1.250 3rd Qu.: 4.000
#> Max. :10.000 Max. :4.000 Max. :3.000 Max. :18.000