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Evaluation of a restricted likelihood ratio test for mapping quantitative trait loci with extreme discordant sib pairs
Author(s) -
KNAPP M.
Publication year - 1998
Publication title -
annals of human genetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.537
H-Index - 77
eISSN - 1469-1809
pISSN - 0003-4800
DOI - 10.1046/j.1469-1809.1998.6210075.x
Subject(s) - likelihood ratio test , trait , genetics , score test , biology , allele , quantitative trait locus , statistics , maximum likelihood , mathematics , gene , computer science , programming language
Risch and Zhang recently proposed to use extreme discordant sib pairs for mapping quantitative trait loci. Here, it is shown that the set of genetically possible distributions of the number of marker alleles in such sib‐pairs is described by two inequalities. Thus, a likelihood ratio test analogous to Holmans's possible triangle test for affected sib pairs can be defined. The performance of this test is compared to the mean test considered by Risch and Zhang. For most of the genetic models considered, the mean test is slightly more powerful than the restricted likelihood ratio test. However, for models with a rare recessive gene (or equivalently a common dominant gene), the restricted likelihood ratio test is much more powerful.