Hierarchical Bayesian Modeling and Randomized Response Method for Inferring the Sensitive-Nature Proportion

In this study, a new three-statement randomized response estimation method is proposed to improve the drawback that maximum likelihood could generate negative value estimate sensitive-nature proportion (SNP) when its true small. The Bayes estimator of SNP obtained via using hierarchical Bayesian modeling procedure. Moreover, hybrid algorithm Gibbs sampling in Metropolis–Hastings algorithms used obtain SNP. highest posterior density interval based on empirical distribution Markov chains. We use term 3RR-HB denote here. Monte Carlo simulations show quality procedure good and it can method. simple for use. An example regarding homosexual college freshmen illustration.