Open Access
Translator Disclaimer
August 2014 Estimation of the proportion of a sensitive attribute based on a two-stage randomized response model with stratified unequal probability sampling
Gi-Sung Lee, Ki-Hak Hong, Jong-Min Kim, Chang-Kyoon Son
Braz. J. Probab. Stat. 28(3): 381-408 (August 2014). DOI: 10.1214/12-BJPS214

Abstract

To estimate the proportion of a sensitive attribute of the population that is composed of the number of different sized clusters, we suggest a two-stage randomized response model with unequal probability sampling by using Abdelfatah et al.’s procedure [Braz. J. Probab. Stat. 27 (2013) 608–617]. We compute the estimate of the sensitive parameter, its variance, and the variance estimator for both pps sampling and two-stage equal probability sampling. We extend our model to the case of stratified unequal probability sampling and compute them. Finally, we compare the efficiency of the two estimators, one obtained by unequal probability sampling and the other by stratified unequal probability sampling.

Citation

Download Citation

Gi-Sung Lee. Ki-Hak Hong. Jong-Min Kim. Chang-Kyoon Son. "Estimation of the proportion of a sensitive attribute based on a two-stage randomized response model with stratified unequal probability sampling." Braz. J. Probab. Stat. 28 (3) 381 - 408, August 2014. https://doi.org/10.1214/12-BJPS214

Information

Published: August 2014
First available in Project Euclid: 17 July 2014

zbMATH: 1304.62033
MathSciNet: MR3263055
Digital Object Identifier: 10.1214/12-BJPS214

Keywords: Randomized response model , sensitive attribute , stratified sampling , stratified unequal probability sampling , two-stage model

Rights: Copyright © 2014 Brazilian Statistical Association

JOURNAL ARTICLE
28 PAGES


SHARE
Vol.28 • No. 3 • August 2014
Back to Top