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Exact Bayesian Analysis of a 2 × 2 Contingency Table, and Fisher's “Exact” Significance Test

Journal of the Royal Statistical Society Series B (Statistical Methodology)Published 1 July 1969
P. M. E. Altham
Citations138
SJR quartileQ1
SJR score3.31
SNIP2.48

Abstract

Summary A relationship is derived between the posterior probability of negative association of rows and columns of a 2 × 2 contingency table and Fisher's “exact” probability, as given in existing tables for testing the hypothesis of no association of rows and columns. The result for the 2 × 2 table is generalized to provide the posterior probability that one discrete-valued random variable is stochastically larger than another.

Keywords

Mathematics