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Bayesian Joint Estimation of Binomial Proportions

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  • Marlos A. G. Viana

Abstract

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.

Suggested Citation

  • Marlos A. G. Viana, 1991. "Bayesian Joint Estimation of Binomial Proportions," Journal of Educational and Behavioral Statistics, , vol. 16(4), pages 331-343, December.
    • Handle: RePEc:sae:jedbes:v:16:y:1991:i:4:p:331-343
    DOI: 10.3102/10769986016004331
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