Bayesian Analysis of Kim and Warde Randomized Response Technique Using Alternative Priors
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Date
2014
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Publisher
American Journal of Computational and Applied Mathematics
Abstract
In this paper, we developed the Bayesian estimators of the population proportion of a stigmatized attribute
using Kumaraswamy and Generalised Beta prior distributions when data were obtained through the Randomized Response
Technique (RRT) proposed by Kim and Warde [15]. We validated our newly developed Bayesian estimators for a wide range
of the designed values of the population proportion at varying sample sizes. It was observed that our newly developed
Bayesian estimators performed significantly better than the Bayesian estimator developed by Hussain and Shabbir [12] for
relatively small as well as moderate sample sizes. However, the reverse was the case for very large sample sizes.
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Keywords
Bayesian estimation, Alternative priors, Stigmatized attribute, Mean Square Error (MSE), Absolute Bias