Bayesian multiple testing for two-sample multivariate endpoints.
In clinical studies involving multiple variables, simultaneous tests are often considered where both the outcomes and hypotheses are correlated. This article proposes a multivariate mixture prior on treatment effects, that allows positive probability of zero effect for each hypothesis, correlations among effect sizes, correlations among binary outcomes of zero versus nonzero effect, and correlations among the observed test statistics (conditional on the effects). We develop a Bayesian multiple testing procedure, for the multivariate two-sample situation with unknown covariance structure, and obtain the posterior probabilities of no difference between treatment regimens for specific variables. Prior selection methods and robustness issues are discussed in the context of a clinical example.
Gönen
Mithat
M
Department of Epidemiology and Biostatistics, Memorial Sloan-Kettering Cancer Center, New York, New York 10021, USA. gonenm@mskcc.org
Westfall
Peter H
PH
Johnson
Wesley
W
D001499:Bayes Theorem; D015415:Biomarkers; D001699:Biometry / Q000379:methods*; D002986:Clinical Trials as Topic / Q000379:methods / Q000706:statistics & numerical data; D003627:Data Interpretation, Statistical; D006801:Humans; D008107:Liver Diseases / Q000097:blood / Q000534:rehabilitation / Q000601:surgery; D015999:Multivariate Analysis; D017063:Outcome Assessment, Health Care; D012189:Retrospective Studies
D015415:Biomarkers