Open AccessTrials of the beta model for complex inheritance.
Author(s) -
Andrew Collins,
Charles Maclean,
N. E. Morton
Publication year - 1996
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.93.17.9177
Subject(s) - identity by descent , beta (programming language) , genetic model , allele , mathematics , genetics , equivalence (formal languages) , odds , logarithm , interpretability , linkage (software) , statistics , logistic regression , biology , computer science , artificial intelligence , haplotype , discrete mathematics , gene , mathematical analysis , programming language
Theoretical advantages of nonparametric logarithm of odds to map polygenic diseases are supported by tests of the beta model that depends on a single logistic parameter and is the only model under which paternal and maternal transmissions to sibs of specified phenotypes are independent. Although it does not precisely describe recurrence risks in monozygous twins, the beta model has greater power to detect family resemblance or linkage than the more general delta model which describes the probability of 0, 1, or 2 alleles identical by descent (ibd) with two parameters. Available data on ibd in sibs are consistent with the beta model, but not with the equally parsimonious but less powerful gamma model that assumes a fixed probability of 1/2 for 1 allele ibd. Additivity of loci on the liability scale is not disproven. A simple equivalence extends the beta model to multipoint analysis.