Further improvements on unrelated characteristic models in randomized response techniques

Purnima Shaw and Arijit Chaudhuri

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 21, 7305-7321

Abstract: Unrelated characteristics model (URL) is a type of randomized response technique (RRT) used to estimate finite population proportion of individuals bearing such a sensitive characteristic whose complement is also sensitive in nature. Chaudhuri and Shaw revised this device to allow inverse Bernoullian trials in generating randomized responses (RR) and found the superiority of this device in comparison to the original one. Motivated by Singh and Sedory’s negative Hypergeometric trials in generating RR, this paper attempts to use the direct and inverse Hypergeometric trials’ approach to improve Chaudhuri and Shaw’s revised URL device. The “protection of privacy measures” of these two new devices are also derived. Numerical calculations based on a simulated population illustrate the performance of the proposed devices.

Date: 2022
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DOI: 10.1080/03610926.2021.1872638

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