Evaluation of a restricted likelihood ratio test for mapping quantitative trait loci with extreme discordant sib pairs

Annals of Human Genetics
M Knapp

Abstract

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.

Citations

Feb 10, 2006·Journal of Obstetric, Gynecologic, and Neonatal Nursing : JOGNN·Sally Northam, Thomas R Knapp
Dec 3, 2003·Annals of Human Genetics·G ZhengZ Li
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Oct 16, 2015·Expert Review of Vaccines·Mariela Segura

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