A bayesian comparison of randomized and voluntary response sampling models

This paper is concerned with making a Bayesian comparison between the two types of survey sampling procedures where the individuals are asked sensitive questions. The randomized response procedure is designed to obtain information in such a way that the respondent is protected against revealing his/her status about the sensitive issue. In voluntary response model each individual chooses either to respond or not to respond. It is assumed that the respondents do not falsify their answers. The problem of interest is to estimate the proportion of the sampled population who belong to the sensitive group. A beta prior distribution is used for the proportion of interest. The loss function is taken to be the quadratic loss function.