# Multiple testing of partial conjunction null hypotheses with conditional $p$-values based on combination test statistics

@inproceedings{Dickhaus2021MultipleTO, title={Multiple testing of partial conjunction null hypotheses with conditional \$p\$-values based on combination test statistics}, author={Thorsten Dickhaus and Ruth Heller and Anh-Tuan Hoang}, year={2021} }

The partial conjunction null hypothesis is tested in order to discover a signal that is present in multiple studies. We propose methods for multiple testing of partial conjunction null hypotheses which make use of conditional p-values based on combination test statistics. Specific examples comprise the Fisher combination function and the Stouffer combination function. The conditional validity of the corresponding p-values is proved for certain classes of one-parametric statistical models…

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