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

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...

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Main Authors: Gi-Sung Lee, Ki-Hak Hong, Sung-Hwan Kim, Chang-Kyoon Son
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/2/297
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author Gi-Sung Lee
Ki-Hak Hong
Sung-Hwan Kim
Chang-Kyoon Son
author_facet Gi-Sung Lee
Ki-Hak Hong
Sung-Hwan Kim
Chang-Kyoon Son
author_sort Gi-Sung Lee
collection DOAJ
description 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.
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id doaj-art-6005c729e0c24f20b5dddba1a6b77c04
institution Kabale University
issn 2227-7390
language English
publishDate 2025-01-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj-art-6005c729e0c24f20b5dddba1a6b77c042025-01-24T13:40:04ZengMDPI AGMathematics2227-73902025-01-0113229710.3390/math13020297Estimation for Two Sensitive Variables Using Randomization Response Model Under Stratified Random SamplingGi-Sung Lee0Ki-Hak Hong1Sung-Hwan Kim2Chang-Kyoon Son3Department of Children Welfare, Woosuk University, Wanju 55338, Jeonbuk, Republic of KoreaDepartment of Computer Science, Dongshin University, Naju 58245, Jeonnam, Republic of KoreaDivision of Public Affairs & Police Administration, Dongguk University, Gyeongju 38066, Gyeongbuk, Republic of KoreaDepartment of Applied Statistics, Dongguk University, Gyeongju 38066, Gyeongbuk, Republic of KoreaWhen 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.https://www.mdpi.com/2227-7390/13/2/297stratified random samplingstratified double samplingsimple modelcrossed modelsample allocation
spellingShingle Gi-Sung Lee
Ki-Hak Hong
Sung-Hwan Kim
Chang-Kyoon Son
Estimation for Two Sensitive Variables Using Randomization Response Model Under Stratified Random Sampling
Mathematics
stratified random sampling
stratified double sampling
simple model
crossed model
sample allocation
title Estimation for Two Sensitive Variables Using Randomization Response Model Under Stratified Random Sampling
title_full Estimation for Two Sensitive Variables Using Randomization Response Model Under Stratified Random Sampling
title_fullStr Estimation for Two Sensitive Variables Using Randomization Response Model Under Stratified Random Sampling
title_full_unstemmed Estimation for Two Sensitive Variables Using Randomization Response Model Under Stratified Random Sampling
title_short Estimation for Two Sensitive Variables Using Randomization Response Model Under Stratified Random Sampling
title_sort estimation for two sensitive variables using randomization response model under stratified random sampling
topic stratified random sampling
stratified double sampling
simple model
crossed model
sample allocation
url https://www.mdpi.com/2227-7390/13/2/297
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AT kihakhong estimationfortwosensitivevariablesusingrandomizationresponsemodelunderstratifiedrandomsampling
AT sunghwankim estimationfortwosensitivevariablesusingrandomizationresponsemodelunderstratifiedrandomsampling
AT changkyoonson estimationfortwosensitivevariablesusingrandomizationresponsemodelunderstratifiedrandomsampling