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The problem of testing mutually exclusive hypotheses with dependent teststatistics is considered. Bayesian and frequentist approaches to multiplicitycontrol are studied and compared to help gain understanding as to the effect oftest statistic dependence on each approach. The Bayesian approach is shown tohave excellent frequentist properties and is argued to be the most effectiveway of obtaining frequentist multiplicity control, without sacrificing power,when there is considerable test statistic dependence.

Comparison of Bayesian and Frequentist Multiplicity Correction For Testing Mutually Exclusive Hypotheses Under Data Dependence