Bayesian inference in 2\(\times 2\) and 2\(\times 2\times 2\) contingency tables
A Bayesian approach to making inferences about the strength of association in \(2\times 2\) and \(2\times 2\times 2\) contingency tables is discussed. Assuming a Dirichlet prior the posterior distributions of the cross-ratio and the second order interaction measures of associations are obtained. It is shown that the distributions are invariant under sampling schemes with fixed margins and with margins not fixed.
posterior distributions of the cross-ratio
second order interaction measures of associations
scientific article; zbMATH DE number 3911502