A new randomized response device for sensitive characteristics: an application of the negative hypergeometic distribution

摘要

In this paper, a new randomized response device is proposed based on the use of negative hypergeometric distribution while estimating the proportion of persons possessing a sensitive characteristic in a population. Situations where the proposed randomization device can perform better than the Warner (J Am Stat Assoc 60, 63–69, 1965), the Kuk (Biomerika 77(2), 436–438, 1990) and the Mangat (J R Statist Soc B 56, 93–95, 1994) estimators are simulated and discussed.