The randomized-response technique can be an effective survey method when collecting
sensitive information. In this paper, we extend the model proposed by Mangat (J. Roy.
Statist. Soc. Ser. B 56 (1994) 93) in two ways. First, we propose a Bayesian version of the
model, which is applicable when prior information on π, the sensitive characteristic
prevalence, is available. Our Bayesian approach can provide greatly-improved point
estimators when compared to those obtained from maximum likelihood; furthermore, our …