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arXiv · 1803.06040

False discovery rate control for multiple testing based on p-values with càdlàg distribution functions

Xiongzhi Chen
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Abstract

For multiple testing based on p-values with càdlàg distribution functions, we propose an FDR procedure "BH+" with proven conservativeness. BH+ is at least as powerful as the BH procedure when they are applied to super-uniform p-values. Further, when applied to mid p-values, BH+ is more powerful than it is applied to conventional p-values. An easily verifiable necessary and sufficient condition for this is provided. BH+ is perhaps the first conservative FDR procedure applicable to mid p-values. BH+ is applied to multiple testing based on discrete p-values in a methylation study, an HIV study and a clinical safety study, where it makes considerably more discoveries than the BH procedure.

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Xiongzhi Chen. 2018-03-16. False discovery rate control for multiple testing based on p-values with càdlàg distribution functions. https://doi.org/10.1002/bimj.201900163

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