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Bayesian Joint Estimation of Binomial Proportions

University of Illinois at Chicago

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 = (H | x) of H given the experimental data x can be used; to estimate each binomial parameter, their Bayesian estimates under H and the alternative hypothesis are combined with weights and 1 – , respectively.

Key Words: joint estimation • shrinkage • Bayesian hypothesis testing • Bayes factor

Journal of Educational and Behavioral Statistics, Vol. 16, No. 4, 331-343 (1991)
DOI: 10.3102/10769986016004331


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