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- W4385262009 abstract "We consider testing invariance of a distribution under an algebraic group of transformations, which includes permutations. In this context, it is commonly believed that one should strive to construct a test based on the entire group. We find that one can sometimes obtain dramatically more power by replacing the entire group with a tiny subgroup. Surprisingly, this allows us to obtain much more power at a much lower computational cost. We examine this finding in the popular group invariance-based Westfall & Young MaxT multiple testing method. Studying the relative efficiency in a Gaussian location model, we find the power gain to be largest in high-dimensional settings." @default.
- W4385262009 created "2023-07-26" @default.
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- W4385262009 date "2023-07-24" @default.
- W4385262009 modified "2023-09-23" @default.
- W4385262009 title "More Power by using Fewer Permutations" @default.
- W4385262009 doi "https://doi.org/10.48550/arxiv.2307.12832" @default.
- W4385262009 hasPublicationYear "2023" @default.
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