Bayesian Joint Estimation of Binomial Proportions
Marlos A. G. Viana · Journal of Educational Statistics · 1991
Testing the hypothesis H that k > 1 binomial parameters are equal and jointly estimating these parameters are related problems.A Bayesian argument can simultaneously answer these inference questions: to test the hypothesis H the posterior probability λ = λ(H | x) of H given the experimental data x can be used; to estimate each binomial parameter, their Bayesian estimates under H and its complement H are combined, with weights λ and 1 -λ, respectively.