Bayesian estimation of population proportion in Kim and Warde mixed randomized response technique

Abstract

In this study, we have developed the Bayesian estimator of the population proportion of a sensitive characteristic when data are obtained through the Randomized Response Technique (RRT) proposed by Kim and Warde (2005). Superiority of the Bayesian estimators is established for a wide range of the values of the population proportion using simple Beta prior information.  It is observed that Bayesian estimators are better than the usual Maximum Likelihood Estimator (MLE) for small as well as moderate samples. The Proposed estimator is also compared with the Warner (1965), Kim and warde (2005) and Kim et al. (2006) estimators.