Pondering FDR control. Procedures like BH represent a certain policy, which can be confirmed to work by simulation for any given number of true discoveries. The actually achieved FDR guarantee is the FDR obtained in the worst case.
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So I'm thinking it might be possible to take a policy like BH which is maybe not quite right in a particular setup and *recalibrate* it based on simulation or resampling. For example a Tukey all-pairs comparison version of FDR, where the test statistics aren't independent. Or gene-set enrichment.
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