Bootstrapping and permuting paired t-test type statistics |
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Authors: | Frank Konietschke Markus Pauly |
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Institution: | 1. Department of Medical Statistics, University of Goettingen, Humboldtallee 32, 37073, Goettingen, Germany 2. Institute of Mathematics, University of Duesseldorf, Universitaetsstrasse 1, 40225, Duesseldorf, Germany
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Abstract: | We study various bootstrap and permutation methods for matched pairs, whose distributions can have different shapes even under the null hypothesis of no treatment effect. Although the data may not be exchangeable under the null, we investigate different permutation approaches as valid procedures for finite sample sizes. It will be shown that permutation or bootstrap schemes, which neglect the dependency structure in the data, are asymptotically valid. Simulation studies show that these new tests improve the power of the t-test under non-normality. |
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