Efficient estimation method of population mean with non-response and observational error under ORRT models
This study addresses the difficulties faced by surveyors in collecting responses to sensitive questions, which lead to non-sampling errors such as non-response and observational error. To tackle these issues, we employ optional randomized response technique (ORRT) models under simple random sampling...
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| Format: | Article |
| Language: | English |
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Taylor & Francis
2025-12-01
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| Series: | Research in Statistics |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/27684520.2025.2522734 |
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| author | Sunil Kumar Chanda Rani Housila P. Singh J. P. S. Joorel |
| author_facet | Sunil Kumar Chanda Rani Housila P. Singh J. P. S. Joorel |
| author_sort | Sunil Kumar |
| collection | DOAJ |
| description | This study addresses the difficulties faced by surveyors in collecting responses to sensitive questions, which lead to non-sampling errors such as non-response and observational error. To tackle these issues, we employ optional randomized response technique (ORRT) models under simple random sampling and two-phase sampling. A new class of estimators are introduced to simultaneously account for social desirability bias, non-response and observational error. These estimators are evaluated against existing methods to assess their properties and effectiveness. The proposed approach leverages ORRT models to estimate the population mean of a sensitive study variable. To validate the theoretical findings, an empirical study is conducted using simulation models for both sampling scenarios separately. The simulation results demonstrate the effectiveness of the proposed class of estimator. |
| format | Article |
| id | doaj-art-f45ebc1908dc4a51a8d4ccc26b1a4f4a |
| institution | Kabale University |
| issn | 2768-4520 |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Taylor & Francis |
| record_format | Article |
| series | Research in Statistics |
| spelling | doaj-art-f45ebc1908dc4a51a8d4ccc26b1a4f4a2025-08-20T03:50:32ZengTaylor & FrancisResearch in Statistics2768-45202025-12-013110.1080/27684520.2025.2522734Efficient estimation method of population mean with non-response and observational error under ORRT modelsSunil Kumar0Chanda Rani1Housila P. Singh2J. P. S. Joorel3Department of Statistics, University of Jammu, Jammu, IndiaDepartment of Statistics, University of Jammu, Jammu, IndiaSchool of Studies in Statistics, Vikram University, Ujjain, IndiaDepartment of Statistics, University of Jammu, Jammu, IndiaThis study addresses the difficulties faced by surveyors in collecting responses to sensitive questions, which lead to non-sampling errors such as non-response and observational error. To tackle these issues, we employ optional randomized response technique (ORRT) models under simple random sampling and two-phase sampling. A new class of estimators are introduced to simultaneously account for social desirability bias, non-response and observational error. These estimators are evaluated against existing methods to assess their properties and effectiveness. The proposed approach leverages ORRT models to estimate the population mean of a sensitive study variable. To validate the theoretical findings, an empirical study is conducted using simulation models for both sampling scenarios separately. The simulation results demonstrate the effectiveness of the proposed class of estimator.https://www.tandfonline.com/doi/10.1080/27684520.2025.2522734Study variableAuxiliary variablesNon-sampling errorsBiasPercent relative efficiency (PRE)Optional randomized response technique (ORRT) |
| spellingShingle | Sunil Kumar Chanda Rani Housila P. Singh J. P. S. Joorel Efficient estimation method of population mean with non-response and observational error under ORRT models Research in Statistics Study variable Auxiliary variables Non-sampling errors Bias Percent relative efficiency (PRE) Optional randomized response technique (ORRT) |
| title | Efficient estimation method of population mean with non-response and observational error under ORRT models |
| title_full | Efficient estimation method of population mean with non-response and observational error under ORRT models |
| title_fullStr | Efficient estimation method of population mean with non-response and observational error under ORRT models |
| title_full_unstemmed | Efficient estimation method of population mean with non-response and observational error under ORRT models |
| title_short | Efficient estimation method of population mean with non-response and observational error under ORRT models |
| title_sort | efficient estimation method of population mean with non response and observational error under orrt models |
| topic | Study variable Auxiliary variables Non-sampling errors Bias Percent relative efficiency (PRE) Optional randomized response technique (ORRT) |
| url | https://www.tandfonline.com/doi/10.1080/27684520.2025.2522734 |
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