JOURNAL OF THE JAPAN STATISTICAL SOCIETY
Online ISSN : 1348-6365
Print ISSN : 1882-2754
ISSN-L : 1348-6365
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On the Bayesian Index of Superiority and the p-Value of the Fisher Exact Test for Binomial Proportions
Kawasaki KawasakiAsanao ShimokawaEtsuo Miyaoka
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2014 Volume 44 Issue 1 Pages 73-81

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Abstract

Proportions based on the binominal distribution are often compared in clinical tests. Biostatisticians often use the Fisher exact test in order to show the superiority of the binominal proportions of a test drug. Kawasaki and Miyaoka (2012) derived an accurate expression for a new index: θ = P1, post > π2, post | X1, X2) within a Bayesian framework. In this paper, we investigate the relationship between θ proposed by Kawasaki and Miyaoka (2012) and the p-value of Fisher's exact test (Fisher (1934)). We show that these two indicators are equivalent under certain conditions.

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© 2014 Japan Statistical Society
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