Improving a novel quantitative randomized response method using auxiliary variable information
In the majority of sample surveys, the variable of interest might have sensitive characteristics. Since we frequently get unrealistic responses from respondents during interviews as employing the direct method is not seen logical in these situations. To tackle this difficulty, the randomized respons...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-11-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844024163980 |
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| author | Hamed Salemian Eisa Mahmoudi Osama Abdulaziz Alamri Javid Shabbir |
| author_facet | Hamed Salemian Eisa Mahmoudi Osama Abdulaziz Alamri Javid Shabbir |
| author_sort | Hamed Salemian |
| collection | DOAJ |
| description | In the majority of sample surveys, the variable of interest might have sensitive characteristics. Since we frequently get unrealistic responses from respondents during interviews as employing the direct method is not seen logical in these situations. To tackle this difficulty, the randomized response technique is good substitute for the direct method. The respondent is reassured that there would not be any issues will your response when using the randomized response technique as it protects privacy and secrets. In this paper, we propose a novel quantitative three-stage randomized response technique. Using simulation with R software, we prove that the results obtained from the proposed method are ideal. We suggest ratio and product type estimators by using the auxiliary information to enhance the efficiency of estimators. It is demonstrated that these estimators are superior for the conventional ones in special situations and in applied task, the use of auxiliary variable improves the estimation of the average cheating of Shahid Chamran university of Ahvaz students. The main objective is to increase the average sensitive reaction by utilizing the auxiliary variable. |
| format | Article |
| id | doaj-art-de662f953fcb4886a8df6424975b09a1 |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-de662f953fcb4886a8df6424975b09a12024-11-30T07:12:42ZengElsevierHeliyon2405-84402024-11-011022e40367Improving a novel quantitative randomized response method using auxiliary variable informationHamed Salemian0Eisa Mahmoudi1Osama Abdulaziz Alamri2Javid Shabbir3Department of Statistics, Yazd University, Yazd, IranDepartment of Statistics, Yazd University, Yazd, Iran; Corresponding author.Department of Statistics, University of Tabuk, Tabuk, Saudi ArabiaDepartment of Statistics, University of Wah, Wah Cantt, PakistanIn the majority of sample surveys, the variable of interest might have sensitive characteristics. Since we frequently get unrealistic responses from respondents during interviews as employing the direct method is not seen logical in these situations. To tackle this difficulty, the randomized response technique is good substitute for the direct method. The respondent is reassured that there would not be any issues will your response when using the randomized response technique as it protects privacy and secrets. In this paper, we propose a novel quantitative three-stage randomized response technique. Using simulation with R software, we prove that the results obtained from the proposed method are ideal. We suggest ratio and product type estimators by using the auxiliary information to enhance the efficiency of estimators. It is demonstrated that these estimators are superior for the conventional ones in special situations and in applied task, the use of auxiliary variable improves the estimation of the average cheating of Shahid Chamran university of Ahvaz students. The main objective is to increase the average sensitive reaction by utilizing the auxiliary variable.http://www.sciencedirect.com/science/article/pii/S2405844024163980Randomized responseSensitive variableNon-responseAuxiliary variableRatio estimatorProduct estimator |
| spellingShingle | Hamed Salemian Eisa Mahmoudi Osama Abdulaziz Alamri Javid Shabbir Improving a novel quantitative randomized response method using auxiliary variable information Heliyon Randomized response Sensitive variable Non-response Auxiliary variable Ratio estimator Product estimator |
| title | Improving a novel quantitative randomized response method using auxiliary variable information |
| title_full | Improving a novel quantitative randomized response method using auxiliary variable information |
| title_fullStr | Improving a novel quantitative randomized response method using auxiliary variable information |
| title_full_unstemmed | Improving a novel quantitative randomized response method using auxiliary variable information |
| title_short | Improving a novel quantitative randomized response method using auxiliary variable information |
| title_sort | improving a novel quantitative randomized response method using auxiliary variable information |
| topic | Randomized response Sensitive variable Non-response Auxiliary variable Ratio estimator Product estimator |
| url | http://www.sciencedirect.com/science/article/pii/S2405844024163980 |
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