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- W4287322570 abstract "Classical two-sample permutation tests for equality of distributions have exact size in finite samples, but they fail to control size for testing equality of parameters that summarize each distribution. This paper proposes permutation tests for equality of parameters that are estimated at root-$n$ or slower rates. Our general framework applies to both parametric and nonparametric models, with two samples or one sample split into two subsamples. Our tests have correct size asymptotically while preserving exact size in finite samples when distributions are equal. They have no loss in local asymptotic power compared to tests that use asymptotic critical values. We propose confidence sets with correct coverage in large samples that also have exact coverage in finite samples if distributions are equal up to a transformation. We apply our theory to four commonly-used hypothesis tests of nonparametric functions evaluated at a point. Lastly, simulations show good finite sample properties, and two empirical examples illustrate our tests in practice." @default.
- W4287322570 created "2022-07-25" @default.
- W4287322570 creator A5061035576 @default.
- W4287322570 creator A5081748183 @default.
- W4287322570 date "2021-02-26" @default.
- W4287322570 modified "2023-09-27" @default.
- W4287322570 title "Permutation Tests at Nonparametric Rates" @default.
- W4287322570 doi "https://doi.org/10.48550/arxiv.2102.13638" @default.
- W4287322570 hasPublicationYear "2021" @default.
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