On the Bayesian Estimation of Synthesized Randomized Response Techniques for Obtaining Sensitive Information

The reduction of response bias in survey research is crucial ensuring that the collected data accurately represents the target population. In this study, the Bayesian Estimation of the Synthesized Random Response Technique (BESRRT) estimators are proposed as an effective method for minimizing respon...

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Main Authors: Olusegun S. Ewemooje, Isaac O. Adeniyi, Femi B. Adebola, Wilford B. Molefe
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/ijmm/5589512
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author Olusegun S. Ewemooje
Isaac O. Adeniyi
Femi B. Adebola
Wilford B. Molefe
author_facet Olusegun S. Ewemooje
Isaac O. Adeniyi
Femi B. Adebola
Wilford B. Molefe
author_sort Olusegun S. Ewemooje
collection DOAJ
description The reduction of response bias in survey research is crucial ensuring that the collected data accurately represents the target population. In this study, the Bayesian Estimation of the Synthesized Random Response Technique (BESRRT) estimators are proposed as an effective method for minimizing response bias. The BESRRT estimators are being expressed using different priors, such as the Kumaraswamy, Generalized Beta, and Beta-Nakagami distributions. The study employs numerical data investigation and preanalyzed data to compare the performance of the proposed estimators with other conventional models and assess the efficiency of the proposed technique. The results indicate that the BESRRT estimators, particularly the Beta-Nakagami Distribution prior estimators, outperform other estimators and can potentially improve the accuracy of survey data for informed decision-making. Consequently, the study concludes that the proposed method is more effective in reducing response bias in surveys involving sensitive information.
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spelling doaj-art-cfc9f8c8a30c40faaaeae21af66cfb5d2025-08-20T02:49:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252025-01-01202510.1155/ijmm/5589512On the Bayesian Estimation of Synthesized Randomized Response Techniques for Obtaining Sensitive InformationOlusegun S. Ewemooje0Isaac O. Adeniyi1Femi B. Adebola2Wilford B. Molefe3Department of StatisticsAfrican Institute for Mathematical SciencesDepartment of StatisticsDepartment of StatisticsThe reduction of response bias in survey research is crucial ensuring that the collected data accurately represents the target population. In this study, the Bayesian Estimation of the Synthesized Random Response Technique (BESRRT) estimators are proposed as an effective method for minimizing response bias. The BESRRT estimators are being expressed using different priors, such as the Kumaraswamy, Generalized Beta, and Beta-Nakagami distributions. The study employs numerical data investigation and preanalyzed data to compare the performance of the proposed estimators with other conventional models and assess the efficiency of the proposed technique. The results indicate that the BESRRT estimators, particularly the Beta-Nakagami Distribution prior estimators, outperform other estimators and can potentially improve the accuracy of survey data for informed decision-making. Consequently, the study concludes that the proposed method is more effective in reducing response bias in surveys involving sensitive information.http://dx.doi.org/10.1155/ijmm/5589512
spellingShingle Olusegun S. Ewemooje
Isaac O. Adeniyi
Femi B. Adebola
Wilford B. Molefe
On the Bayesian Estimation of Synthesized Randomized Response Techniques for Obtaining Sensitive Information
International Journal of Mathematics and Mathematical Sciences
title On the Bayesian Estimation of Synthesized Randomized Response Techniques for Obtaining Sensitive Information
title_full On the Bayesian Estimation of Synthesized Randomized Response Techniques for Obtaining Sensitive Information
title_fullStr On the Bayesian Estimation of Synthesized Randomized Response Techniques for Obtaining Sensitive Information
title_full_unstemmed On the Bayesian Estimation of Synthesized Randomized Response Techniques for Obtaining Sensitive Information
title_short On the Bayesian Estimation of Synthesized Randomized Response Techniques for Obtaining Sensitive Information
title_sort on the bayesian estimation of synthesized randomized response techniques for obtaining sensitive information
url http://dx.doi.org/10.1155/ijmm/5589512
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