Exact analysis of a paired sibling data
The authors discuss the problem of statistical analysis of genetic study of sibling pair data of \textit{F. C. Fraser} and \textit{A. D. Hunter} [Etiologic relations among categories of congenital heart malformations. The American Journal of Cardiology 36, 793--796 (1975)]. The data is in the form of a triangular table with vanishing diagonal entries, so the problem of fitting parametric models to such tables is investigated using Monte-Carlo methods. Exact \(p\)-values are computed for a test of parameter significance and a test of goodness-of-fit which contradict the model of quasi-independence and confirm the previous analysis by \textit{B. MacGibbon} [A log-linear model of a paired sibling study. In Proceedings of Statistics'81 Canada Conference, Eds. Y. Chaubey, T. D. Dwivedi, 193-197 (1983)].
scientific article; zbMATH DE number 2169424