An Efficiency Comparison of Certain Randomized Response Strategies
Muhammad Abid, Salman Arif Cheema, Zawar Hussain

Abstract
Several researchers have already performed a comparison between different randomized response strategies, but have concentrated solely on comparing the variances of the appropriate estimators. A very little attention has been paid by these researchers to the degree of privacy protection offered to the interviewees. In this paper, an attempt has been made in this direction. Some important randomized response strategies such as Warner (1965), Mangat et al. (1995), Bhargava and Singh (2000) have been compared with Mahmood et al. (1998) model, taking into account the aspect of equal privacy protection. Based on the concept of jeopardy function, we derived efficiency conditions for the Warner (1965), Mangat et al. (1995) and Bhargava and Singh (2000) model compared to Mahmood et al. (1998) model.

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