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Fisher information in randomly sampled sib pairs and extremely discordant sib pairs in genetic analysis for a quantitative trait locus
Authors:Gang Zheng  Joseph L Gastwirth  
Institution:

aOffice of Biostatistics Research, National Heart, Lung and Blood Institute, 6701 Rockledge Drive, Bethesda, MD 20892-7938, USA

bDepartment of Statistics, George Washington University, Washington, DC 20052, USA

cBiostatistics Branch, National Cancer Institute, Bethesda, MD 20892, USA

Abstract:The conditional mixture likelihood method using the absolute difference of the trait values of a sib pair to estimate genetic parameters underlies commonly used method in linkage analysis. Here, the statistical properties of the model are examined. The marginal model with a pseudo-likelihood function based on a sample of the absolute difference of sib-traits is also studied. Both approaches are compared numerically. When genotyping is much more expensive than screening a quantitative trait, it is known that extremely discordant sib pairs provide more powerful linkage tests than randomly sampled sib pairs. The Fisher information about genetic parameters contained in extremely discordant sib pairs is calculated using the marginal mixture model. Our results supplement current research showing that extremely discordant sib pairs are powerful for the linkage detection by demonstrating they also contain more information about other genetic parameters.
Keywords:Haseman–Elston  Maximum likelihood estimate  Pseudo-likelihood  QTL  Recombination fraction  Selected sib pairs
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