Improved Randomized Response in Optional Scrambling Models
In the present study, we discuss the issue of increasing the respondents cooperation in sensitive surveys. When the question is highly sensitive then the cooperation from the respondents is decreased. We propose two optional randomized response models (ORRMs) to increase the respondents cooperation....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2019-11-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/125923234/view |
| _version_ | 1818571981507788800 |
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| author | Zawar Hussain Muhammad Imran Shahid |
| author_facet | Zawar Hussain Muhammad Imran Shahid |
| author_sort | Zawar Hussain |
| collection | DOAJ |
| description | In the present study, we discuss the issue of increasing the respondents cooperation in sensitive surveys. When the question is highly sensitive then the cooperation from the respondents is decreased. We propose two optional randomized response models (ORRMs) to increase the respondents cooperation. A comparison of proposed ORRMs with [1] two- and three-stage models have been made. It is found that, in estimating mean and sensitivity level, the proposed strategies perform better than [1] two- and three-stage models. A comparison is also made among the [1] two- and three-stage models and proposed ORRMs to identify the best one. Numerical illustration are also given in favor of the algebraic results. |
| first_indexed | 2024-12-14T18:51:23Z |
| format | Article |
| id | doaj.art-eef589ddb5e54d2391d7f0ce0149865c |
| institution | Directory Open Access Journal |
| issn | 2214-1766 |
| language | English |
| last_indexed | 2024-12-14T18:51:23Z |
| publishDate | 2019-11-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-eef589ddb5e54d2391d7f0ce0149865c2022-12-21T22:51:14ZengSpringerJournal of Statistical Theory and Applications (JSTA)2214-17662019-11-0118410.2991/jsta.d.191112.001Improved Randomized Response in Optional Scrambling ModelsZawar HussainMuhammad Imran ShahidIn the present study, we discuss the issue of increasing the respondents cooperation in sensitive surveys. When the question is highly sensitive then the cooperation from the respondents is decreased. We propose two optional randomized response models (ORRMs) to increase the respondents cooperation. A comparison of proposed ORRMs with [1] two- and three-stage models have been made. It is found that, in estimating mean and sensitivity level, the proposed strategies perform better than [1] two- and three-stage models. A comparison is also made among the [1] two- and three-stage models and proposed ORRMs to identify the best one. Numerical illustration are also given in favor of the algebraic results.https://www.atlantis-press.com/article/125923234/viewRandomized responsePercent relative efficiencyOptimum sample sizeOptional randomized response modelSensitive quantitative variable |
| spellingShingle | Zawar Hussain Muhammad Imran Shahid Improved Randomized Response in Optional Scrambling Models Journal of Statistical Theory and Applications (JSTA) Randomized response Percent relative efficiency Optimum sample size Optional randomized response model Sensitive quantitative variable |
| title | Improved Randomized Response in Optional Scrambling Models |
| title_full | Improved Randomized Response in Optional Scrambling Models |
| title_fullStr | Improved Randomized Response in Optional Scrambling Models |
| title_full_unstemmed | Improved Randomized Response in Optional Scrambling Models |
| title_short | Improved Randomized Response in Optional Scrambling Models |
| title_sort | improved randomized response in optional scrambling models |
| topic | Randomized response Percent relative efficiency Optimum sample size Optional randomized response model Sensitive quantitative variable |
| url | https://www.atlantis-press.com/article/125923234/view |
| work_keys_str_mv | AT zawarhussain improvedrandomizedresponseinoptionalscramblingmodels AT muhammadimranshahid improvedrandomizedresponseinoptionalscramblingmodels |