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

Patricia M. E. Altham
Journal of the Royal Statistical Society. Series B (Methodological)
Vol. 31, No. 2 (1969), pp. 261-269
Published by: Wiley for the Royal Statistical Society
Stable URL: http://www.jstor.org/stable/2984209
Page Count: 9
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Exact Bayesian Analysis of a 2 × 2 Contingency Table, and Fisher's "Exact" Significance Test
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Abstract

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.

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