Journal
BAYESIAN ANALYSIS
Volume 16, Issue 1, Pages 111-128Publisher
INT SOC BAYESIAN ANALYSIS
DOI: 10.1214/20-BA1196
Keywords
multiple hypothesis testing; multiplicity correction; false positive probability; Bayesian inference
Funding
- NSF [DMS-1007773, DMS-1407775]
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The problem of testing mutually exclusive hypotheses with dependent test statistics is explored, with the Bayesian approach shown to have excellent frequentist properties, making it the most effective way to achieve frequentist multiplicity control in the presence of significant test statistic dependence.
The problem of testing mutually exclusive hypotheses with dependent test statistics is considered. Bayesian and frequentist approaches to multiplicity control are studied and compared to help gain understanding as to the effect of test statistic dependence on each approach. The Bayesian approach is shown to have excellent frequentist properties and is argued to be the most effective way of obtaining frequentist multiplicity control, without sacrificing power, when there is considerable test statistic dependence.
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