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Original Articles

Fisher's exact test from a Bayes perspective

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Pages 7393-7404 | Received 27 Aug 2015, Accepted 19 Sep 2016, Published online: 27 Apr 2017
 

ABSTRACT

Fisher's exact test is commonly used to test the null hypothesis H0 of independence or homogeneity in 2 × 2 contingency tables. This article presents a closed formula for the Bayes factor for testing independence or homogeneity in 2 × 2 contingency tables under a flexible family of spike-and-slab testing priors. Bayes factors are also compared numerically to Fisher's exact s for 2 × 2 contingency tables with equal row totals. Numerical results show that a large percentage of tables with have more evidence in favor of H0 than H1 from the Bayesian perspective.

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