A new stratified three-stage unrelated randomized response model for estimating a rare sensitive attribute based on the Poisson distribution |
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Authors: | Gi-Sung Lee Ki-Hak Hong |
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Affiliation: | 1. Department of Children Welfare, Woosuk University, Wanju, Jeonbuk, Korea;2. Department of Computer Science, Dongshin University, Naju, Chonnam, Korea |
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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 Land, M., S. Singh, and S. A. Sedory. 2011. Estimation of a rare sensitive attribute using poisson distribution. Statistics 46 (3):351–60. doi:10.1080/02331888.2010.524300.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) 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. |
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Keywords: | Poisson distribution probability proportional to size sampling rare sensitive attribute rare unrelated attribute stratified sampling two-stage unrelated question model. |
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