In this paper we propose a new combination test and give an O(m^2) shortcut for closed testing for a large class of combination tests.

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Recommended citation: Mogensen, Phillip B., and Bo Markussen. “‘Too Many, Too Improbable’test statistics: A general method for testing joint hypotheses and controlling the k-FWER.” arXiv preprint arXiv:2108.04731 (2021).