False discovery rate control for multiple testing based on p-values with c\`adl\`ag distribution functions
Methodology
2020-03-09 v1
Abstract
For multiple testing based on p-values with c\`{a}dl\`{a}g 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.
Keywords
Cite
@article{arxiv.1803.06040,
title = {False discovery rate control for multiple testing based on p-values with c\`adl\`ag distribution functions},
author = {Xiongzhi Chen},
journal= {arXiv preprint arXiv:1803.06040},
year = {2020}
}
Comments
18 pages (including 6 figures)