Estimation of the proportion of a sensitive attribute based on a two-stage randomized response model with stratified unequal probability sampling

被引：9

作者：

Lee, Gi-Sung ^{[1
]}

Hong, Ki-Hak ^{[2
]}

Kim, Jong-Min ^{[3
]}

Son, Chang-Kyoon ^{[4
]}

机构：

[1] Woosuk Univ, Dept Children Welf, Wanjugun 565701, Jeonbuk, South Korea

[2] Dongshin Univ, Dept Comp Sci, Naju 520714, Chonnam, South Korea

[3] Univ Minnesota, Div Sci & Math, Morris, MN 56267 USA

[4] Dongguk Univ, Dept Stat & Informat Sci, Gyeongju 780714, Gyeongbuk, South Korea

来源：

BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS | 2014年 / 28卷 / 03期

关键词：

Randomized response model; two-stage model; sensitive attribute; stratified sampling; stratified unequal probability sampling; EFFICIENT USE;

D O I：

10.1214/12-BJPS214

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：381 / 408

页数：28

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