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Review

Review about the Permutation Approach in Hypothesis Testing

by
Stefano Bonnini
1,*,
Getnet Melak Assegie
2 and
Kamila Trzcinska
3
1
Department of Economics and Management, University of Ferrara, Via Voltapaletto 11, 44121 Ferrara, Italy
2
Department of Economics and Management, University of Parma, 43125 Parma, Italy
3
Department of Statistical Methods, University of Lodz, 41 Rewolucji 1905 r. St., 92-2014 Lodz, Poland
*
Author to whom correspondence should be addressed.
Mathematics 2024, 12(17), 2617; https://doi.org/10.3390/math12172617
Submission received: 31 July 2024 / Revised: 19 August 2024 / Accepted: 20 August 2024 / Published: 23 August 2024
(This article belongs to the Special Issue Nonparametric Statistical Methods and Their Applications)

Abstract

Today, permutation tests represent a powerful and increasingly widespread tool of statistical inference for hypothesis-testing problems. To the best of our knowledge, a review of the application of permutation tests for complex data in practical data analysis for hypothesis testing is missing. In particular, it is essential to review the application of permutation tests in two-sample or multi-sample problems and in regression analysis. The aim of this paper is to consider the main scientific contributions on the subject of permutation methods for hypothesis testing in the mentioned fields. Notes on their use to address the problem of missing data and, in particular, right-censored data, will also be included. This review also tries to highlight the limits and advantages of the works cited with a critical eye and also to provide practical indications to researchers and practitioners who need to identify flexible and distribution-free solutions for the most disparate hypothesis-testing problems.
Keywords: conditional inference; exchangeability; hypothesis testing; nonparametric methods; permutation test conditional inference; exchangeability; hypothesis testing; nonparametric methods; permutation test

Share and Cite

MDPI and ACS Style

Bonnini, S.; Assegie, G.M.; Trzcinska, K. Review about the Permutation Approach in Hypothesis Testing. Mathematics 2024, 12, 2617. https://doi.org/10.3390/math12172617

AMA Style

Bonnini S, Assegie GM, Trzcinska K. Review about the Permutation Approach in Hypothesis Testing. Mathematics. 2024; 12(17):2617. https://doi.org/10.3390/math12172617

Chicago/Turabian Style

Bonnini, Stefano, Getnet Melak Assegie, and Kamila Trzcinska. 2024. "Review about the Permutation Approach in Hypothesis Testing" Mathematics 12, no. 17: 2617. https://doi.org/10.3390/math12172617

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