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The beta-binomial model which is generated by a simple mixture model has been widely applied in the social, physical, and health sciences. Lee and Sabavala (1987) proposed a Bayesian approach with a conjugate-type beta family of priors for suitably transformed parameters in the beta-binomial, and demonstrated the simulations for special case of two trials. The main purpose of the paper is to extend the study of Lee and Sabavala (1987) by numerical integration. This method can be used for thedoi:10.2307/1391611 fatcat:ycxhvksl7rc45mdkqhhpm6urcm