Introducing an Efficient Alternative Technique to Optional Quantitative Randomized Response Models

In social surveys on sensitive characteristics, optional randomized response models give the respondents the option to either report the true response or report the scrambled response. If any respondent finds that the question being asked does not feel sensitive, he/she reports the true response. In...

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Main Authors: Muhammad Azeem, Abdul Salam
Format: Article
Language:English
Published: PsychOpen GOLD/ Leibniz Institute for Psychology 2023-03-01
Series:Methodology
Subjects:
Online Access:https://meth.psychopen.eu/index.php/meth/article/view/9921
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author Muhammad Azeem
Abdul Salam
author_facet Muhammad Azeem
Abdul Salam
author_sort Muhammad Azeem
collection DOAJ
description In social surveys on sensitive characteristics, optional randomized response models give the respondents the option to either report the true response or report the scrambled response. If any respondent finds that the question being asked does not feel sensitive, he/she reports the true response. In the existing variants of optional randomized response models, the researcher doesn’t know whether the respondent opted for the correct response or for a scrambled response. In practice, some of the respondents may have no problem in disclosing to the researcher that they are giving the true response and hence not opting for scrambling. This paper presents an alternative procedure to optional scrambling randomized response models, where each respondent has the choice whether or not to disclose to the researcher that he/she is giving the true response. Alternative modified versions of three existing scrambling randomized response models are presented. It is found that the efficiency of the quantitative randomized response models improves if the exact number of respondents who are opting for scrambling, is known to the researcher. Besides improvement in efficiency, the level of the respondent-privacy is the same as that of the existing models, thus resulting in an improvement in the overall quality of the existing models.
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spelling doaj.art-885bdbd0b785405d93c8d19d1ff041aa2023-04-25T09:42:10ZengPsychOpen GOLD/ Leibniz Institute for PsychologyMethodology1614-22412023-03-01191244210.5964/meth.9921meth.9921Introducing an Efficient Alternative Technique to Optional Quantitative Randomized Response ModelsMuhammad Azeem0Abdul Salam1Department of Statistics, University of Malakand, Chakdara, KP, PakistanDepartment of Statistics, University of Malakand, Chakdara, KP, PakistanIn social surveys on sensitive characteristics, optional randomized response models give the respondents the option to either report the true response or report the scrambled response. If any respondent finds that the question being asked does not feel sensitive, he/she reports the true response. In the existing variants of optional randomized response models, the researcher doesn’t know whether the respondent opted for the correct response or for a scrambled response. In practice, some of the respondents may have no problem in disclosing to the researcher that they are giving the true response and hence not opting for scrambling. This paper presents an alternative procedure to optional scrambling randomized response models, where each respondent has the choice whether or not to disclose to the researcher that he/she is giving the true response. Alternative modified versions of three existing scrambling randomized response models are presented. It is found that the efficiency of the quantitative randomized response models improves if the exact number of respondents who are opting for scrambling, is known to the researcher. Besides improvement in efficiency, the level of the respondent-privacy is the same as that of the existing models, thus resulting in an improvement in the overall quality of the existing models.https://meth.psychopen.eu/index.php/meth/article/view/9921optional randomized response, scrambling variable, sensitive surveys, privacy protection, efficiency, msc 2020: 62d05msc 2020: 62f07
spellingShingle Muhammad Azeem
Abdul Salam
Introducing an Efficient Alternative Technique to Optional Quantitative Randomized Response Models
Methodology
optional randomized response, scrambling variable, sensitive surveys, privacy protection, efficiency, msc 2020: 62d05
msc 2020: 62f07
title Introducing an Efficient Alternative Technique to Optional Quantitative Randomized Response Models
title_full Introducing an Efficient Alternative Technique to Optional Quantitative Randomized Response Models
title_fullStr Introducing an Efficient Alternative Technique to Optional Quantitative Randomized Response Models
title_full_unstemmed Introducing an Efficient Alternative Technique to Optional Quantitative Randomized Response Models
title_short Introducing an Efficient Alternative Technique to Optional Quantitative Randomized Response Models
title_sort introducing an efficient alternative technique to optional quantitative randomized response models
topic optional randomized response, scrambling variable, sensitive surveys, privacy protection, efficiency, msc 2020: 62d05
msc 2020: 62f07
url https://meth.psychopen.eu/index.php/meth/article/view/9921
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AT abdulsalam introducinganefficientalternativetechniquetooptionalquantitativerandomizedresponsemodels