Improved strategy to collect sensitive data by using negative binomial and negative hypergeometric distribution as randomization devices

Niharika Yennum, Stephen A. Sedory and Sarjinder Singh

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 8, 2640-2658

Abstract: In this paper, we improve upon the negative binomial randomized response model by implementing a two-stage randomization process. Using the modified estimator of the proportion of members of a population possessing a sensitive attribute, we claim to achieve both better efficiency and better protection. The findings are verified based on extensive simulation study. Then we improvise the technique of use of negative hypergeometric distribution by introducing two-stage randomization response process. Using our new technique, we also assess the efficiency and protection of the respondents as compared to the negative hypergeometric model through extensive simulation studies. We also provide SAS codes used in the evaluations of the strategies considered.

Date: 2022
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DOI: 10.1080/03610926.2020.1777565

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