Bayesian Multiple Comparison of Binomial Populations based on Fractional Bayes Factor
Dal-Ho Kim, Sang-Gil Kang, Woo-Dong Lee
Abstract
Dal-Ho Kim, Sang-Gil Kang, Woo-Dong Lee
Abstract
In this paper, we develop the Bayesian multiple comparisons procedure for the binomial distribution. We suggest the Bayesian procedure based on fractional Bayes factor when noninformative priors are applied for the parameters. An example is illustrated for the proposed method. For this example, the suggested method is straightforward for specifying distributionally and to implement computationally, with output readily adapted for required comparison. Also, some simulation was performed.
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In this paper, we develop the Bayesian multiple comparisons procedure for the binomial distribution. We suggest the Bayesian procedure based on fractional Bayes factor when noninformative priors are applied for the parameters. An example is illustrated for the proposed method. For this example, the suggested method is straightforward for specifying distributionally and to implement computationally, with output readily adapted for required comparison. Also, some simulation was performed.
Key concepts: Bayes factor, Prior probability, Bayesian probability, Binomial distribution, Bayes' theorem, Binomial (polynomial), Mathematics, Computer science