2014 Volume 44 Issue 1 Pages 73-81
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 = P(π1, 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.