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Fisher's Exact Test

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  • Graham J. G. Upton

Abstract

This paper reviews the problems that bedevil the selection of an appropriate test for the analysis of a 2 times 2 table. In contradiction to an earlier paper, the author now argues the case for the use of Fisher's exact test. It is noted that all test statistics for the 2 times 2 table have discrete distributions and it is suggested that it is irrational to prescribe an unattainable fixed significance level. The use of mid‐p is suggested, if a formula is required for prescribing a variable tail probability. The problems of two‐tail tests are discussed.

Suggested Citation

  • Graham J. G. Upton, 1992. "Fisher's Exact Test," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 155(3), pages 395-402, May.
    • Handle: RePEc:bla:jorssa:v:155:y:1992:i:3:p:395-402
    DOI: 10.2307/2982890
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    Cited by:

    1. Kasianova, Ksenia & Kelbert, Mark & Mozgunov, Pavel, 2021. "Response adaptive designs for Phase II trials with binary endpoint based on context-dependent information measures," Computational Statistics & Data Analysis, Elsevier, vol. 158(C).
    2. Miroslav Ferenèak & Dušan Dobromirov & Mladen Radišiæ & Aleksandar Takaèi, 2018. "Aversion to a sure loss: turning investors into gamblers," Zbornik radova Ekonomskog fakulteta u Rijeci/Proceedings of Rijeka Faculty of Economics, University of Rijeka, Faculty of Economics and Business, vol. 36(2), pages 537-557.
    3. Adam C. Sales & Ben B. Hansen, 2020. "Limitless Regression Discontinuity," Journal of Educational and Behavioral Statistics, , vol. 45(2), pages 143-174, April.
    4. Eugene Seneta & Geoffrey Berry & Petra Macaskill, 1999. "Adjustment to Lancaster's Mid-P," Methodology and Computing in Applied Probability, Springer, vol. 1(2), pages 229-240, September.
    5. Yang, Siluo & Zheng, Mengxue & Yu, Yonghao & Wolfram, Dietmar, 2021. "Are Altmetric.com scores effective for research impact evaluation in the social sciences and humanities?," Journal of Informetrics, Elsevier, vol. 15(1).
    6. Yanis Tazi & Juan E. Arango-Ossa & Yangyu Zhou & Elsa Bernard & Ian Thomas & Amanda Gilkes & Sylvie Freeman & Yoann Pradat & Sean J. Johnson & Robert Hills & Richard Dillon & Max F. Levine & Daniel Le, 2022. "Unified classification and risk-stratification in Acute Myeloid Leukemia," Nature Communications, Nature, vol. 13(1), pages 1-16, December.

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