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Bayesian Joint Estimation of Binomial Proportions
Marlos A. G. Viana
Journal of Educational Statistics
Vol. 16, No. 4 (Winter, 1991), pp. 331-343
Stable URL: http://www.jstor.org/stable/1165106
Page Count: 13
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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 the alternative hypothesis H̄ are combined with weights λ and 1 - λ, respectively.
Journal of Educational Statistics © 1991 American Educational Research Association