JSM 2011 Online Program

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Abstract Details

Activity Number: 462
Type: Contributed
Date/Time: Wednesday, August 3, 2011 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract - #300704
Title: Bayes Factors in the Presence of Population Stratification
Author(s): Linglu Wang*+ and Qizhai Li and Zhaohai Li and Gang Zheng
Companies: The George Washington University and Chinese Academy of Sciences and The George Washington University and National Heart, Lung, and Blood Institute
Address: Department of Statistics, Washington, DC, 20052,
Keywords: approximate Bayes factor ; clustering ; genome-wide association studies ; odds ratio ; population stratification ; principal components analysis
Abstract:

Population stratification (PS) is a main concern of using the case-control design to detect genetic association. All methods to correct for PS have been studied in classical hypothesis testing. It is not clear, however, how the PS would affect Bayesian hypothesis testing and how to correct for it in Bayesian analysis. In this paper, we start with the investigation on how the PS would affect the asymptotic distribution of the estimate of odds ratio and its confidence interval. Using a large panel of null markers scanned in a genome-wide association studies, we apply a principle clustering analysis method to adjust for the effect of PS on the estimate of odds ratio and its asymptotic variance. Then we apply these corrected estimate and the asymptotic variance to an approximation of Bayes factor. We show in simulations that the proposed method yields an appropriate correction for the PS in Bayesian analysis and apply the results to HapMap data as an illustration.


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