Estimation for Two Sensitive Variables Using Randomization Response Model Under Stratified Random Sampling

Gi-Sung Lee, Ki-Hak Hong, Sung-Hwan Kim and Chang-Kyoon Son ()
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Gi-Sung Lee: Department of Children Welfare, Woosuk University, Wanju 55338, Jeonbuk, Republic of Korea
Ki-Hak Hong: Department of Computer Science, Dongshin University, Naju 58245, Jeonnam, Republic of Korea
Sung-Hwan Kim: Division of Public Affairs & Police Administration, Dongguk University, Gyeongju 38066, Gyeongbuk, Republic of Korea
Chang-Kyoon Son: Department of Applied Statistics, Dongguk University, Gyeongju 38066, Gyeongbuk, Republic of Korea

Mathematics, 2025, vol. 13, issue 2, 1-24

Abstract: When direct survey are about sensitive characteristics such as addiction to drugs, alcoholism, proneness to tax invasion and sexual violence, nonresponse bias and response bias become serious problems because people oftentimes do not wish to give true information. In this study, when the population is composed of strata such as gender, region, age group, we consider the simple model and crossed model by applying stratified random sampling which can estimate not only the domain population proportion but also the whole population proportion for two sensitive attributes such as drug use and sexual violence in the same time. In addition, when the size of each population stratum is unknown in stratified random sampling, we propose the simple model and crossed model by using stratified double sampling method. In each proposed survey design, the sample allocation of each stratum is dealt with in consideration of proportional allocation and optimal one. We compare the efficiency between the simple model and the crossed model according to the proposed stratified random sampling design.

Keywords: stratified random sampling; stratified double sampling; simple model; crossed model; sample allocation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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