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Some Elementary Theory of Permutation Tests

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  • Fortunato Pesarin

Abstract

In literature, permutation tests are mostly derived by means of heuristic arguments (Edgington and Onghena, 2007; Good, 2005). In this paper, we derive them within the sufficiency and conditionality principles of inference. Most important of their properties are exposed without formal proofs that can be found in the book by Pesarin and Salmaso (2010).

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  • Fortunato Pesarin, 2015. "Some Elementary Theory of Permutation Tests," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(22), pages 4880-4892, November.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:22:p:4880-4892
    DOI: 10.1080/03610926.2013.802350
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    Cited by:

    1. Jesse Hemerik & Jelle J. Goeman, 2021. "Another Look at the Lady Tasting Tea and Differences Between Permutation Tests and Randomisation Tests," International Statistical Review, International Statistical Institute, vol. 89(2), pages 367-381, August.
    2. Jesse Hemerik & Jelle J. Goeman & Livio Finos, 2020. "Robust testing in generalized linear models by sign flipping score contributions," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 82(3), pages 841-864, July.
    3. Jesse Hemerik & Jelle Goeman, 2018. "Exact testing with random permutations," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(4), pages 811-825, December.
    4. Ristl, Robin & Xi, Dong & Glimm, Ekkehard & Posch, Martin, 2018. "Optimal exact tests for multiple binary endpoints," Computational Statistics & Data Analysis, Elsevier, vol. 122(C), pages 1-17.
    5. Rosa Arboretti & Fortunato Pesarin & Luigi Salmaso, 2021. "A unified approach to permutation testing for equivalence," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 30(3), pages 1033-1052, September.

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