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Activity Number: 497
Type: Topic Contributed
Date/Time: Thursday, August 2, 2007 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract - #309630
Title: Bayesian Semiparametric Testing and Estimation for High-Dimensional Genetic Data
Author(s): Richard MacLehose*+ and David B. Dunson
Companies: National Institute of Environmental Health Sciences and National Institute of Environmental Health Sciences
Address: PO 12233, Research Triangle Park, NC, 27709,
Keywords: Dirichlet Process ; SNP ; Bayes
Abstract:

Genotyping technology has made analysis of large dimensional data commonplace, with the number of predictors typically exceeding the number of observations. Statistical methods are needed to test associations between a vast number of SNPs and a phenotypic outcome, while accounting for high levels of between SNP correlation. False discovery rates are often used in this setting to control the expected proportion of false positives, however they typically ignore the problem of false negatives. We adopt a decision theoretic Bayesian approach which penalizes false positives and false negatives. To reduce dimensionality, we focus on the clustering properties of the Dirichlet Process (DP). We adopt a "retrospective" approach to estimating DP models that is more robust to high dimensions. We discuss various procedures for hypothesis testing and compare our method to FDR-based methods.


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