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Empirical Bayes Correction for the Winner's Curse in Genetic Association Studies
Author(s) -
Ferguson John P.,
Cho Judy H.,
Yang Can,
Zhao Hongyu
Publication year - 2013
Publication title -
genetic epidemiology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.301
H-Index - 98
eISSN - 1098-2272
pISSN - 0741-0395
DOI - 10.1002/gepi.21683
Subject(s) - bayes' theorem , estimator , winner's curse , bayes factor , statistics , odds , empirical distribution function , computer science , econometrics , mathematics , bayesian probability , logistic regression , common value auction
We consider an Empirical Bayes method to correct for the Winner's Curse phenomenon in genome‐wide association studies. Our method utilizes the collective distribution of all odds ratios (ORs) to determine the appropriate correction for a particular single‐nucleotide polymorphism (SNP). We can show that this approach is squared error optimal provided that this collective distribution is accurately estimated in its tails. To improve the performance when correcting the OR estimates for the most highly associated SNPs, we develop a second estimator that adaptively combines the Empirical Bayes estimator with a previously considered Conditional Likelihood estimator. The applications of these methods to both simulated and real data suggest improved performance in reducing selection bias.