A new stratified three-stage unrelated randomized response model for estimating a rare sensitive attribute based on the Poisson distribution

Gi-Sung Lee, Ki-Hak Hong and Chang-Kyoon Son

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 7, 1585-1610

Abstract: This article suggests an efficient method of estimating a rare sensitive attribute which is assumed following Poisson distribution by using three-stage unrelated randomized response model instead of the Land et al. model (2011) when the population consists of some different sized clusters and clusters selected by probability proportional to size(:pps) sampling. A rare sensitive parameter is estimated by using pps sampling and equal probability two-stage sampling when the parameter of a rare unrelated attribute is assumed to be known and unknown.We extend this method to the case of stratified population by applying stratified pps sampling and stratified equal probability two-stage sampling. An empirical study is carried out to show the efficiency of the two proposed methods when the parameter of a rare unrelated attribute is assumed to be known and unknown.

Date: 2019
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DOI: 10.1080/03610926.2018.1438625

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