An Improved Quantitative Optional Randomised Response Technique with Additive Scrambling using Two Questions Approach

Neeraj Tiwari; Tanuj Kumar Pandey

doi:10.33434/cams.1435108

EN

An Improved Quantitative Optional Randomised Response Technique with Additive Scrambling using Two Questions Approach

Abstract

In this paper, an improved two-stage and three-stage optional randomized response (ORR) models for quantitative variables that make the use of additive scrambling was proposed. These two-stage and three-stage models achieve efficient estimation of the mean and sensitivity level simultaneously in the single sample by using two questions. It is found that the proposed models perform better than the existing ORR models in terms of estimating sensitive attribute and sensitivity level simultaneously. It is found that the proposed three stage ORR model provides better estimates than the two-stage and one-stage ORR models and offers more privacy to the respondents with suitable choice of design parameters. The properties of the proposed models are demonstrated with the help of a numerical study.

Keywords

Optional randomised response, Sensitive surveys, Sensitivity level, Two-questions approach

References

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Details

Primary Language

English

Subjects

Applied Statistics, Statistics (Other)

Journal Section

Research Article

Authors

Neeraj Tiwari This is me
0000-0003-2198-884X
India

Tanuj Kumar Pandey ^*
0000-0002-2508-6221
India

Early Pub Date

June 22, 2024

Publication Date

June 30, 2024

Submission Date

February 11, 2024

Acceptance Date

June 21, 2024

Published in Issue

Year 2024 Volume: 7 Number: 2

DOI

https://doi.org/10.33434/cams.1435108

IZ

https://izlik.org/JA52JU38HX

APA

Tiwari, N., & Pandey, T. K. (2024). An Improved Quantitative Optional Randomised Response Technique with Additive Scrambling using Two Questions Approach. Communications in Advanced Mathematical Sciences, 7(2), 104-113. https://doi.org/10.33434/cams.1435108

AMA

1.Tiwari N, Pandey TK. An Improved Quantitative Optional Randomised Response Technique with Additive Scrambling using Two Questions Approach. Communications in Advanced Mathematical Sciences. 2024;7(2):104-113. doi:10.33434/cams.1435108

Chicago

Tiwari, Neeraj, and Tanuj Kumar Pandey. 2024. “An Improved Quantitative Optional Randomised Response Technique With Additive Scrambling Using Two Questions Approach”. Communications in Advanced Mathematical Sciences 7 (2): 104-13. https://doi.org/10.33434/cams.1435108.

EndNote

Tiwari N, Pandey TK (June 1, 2024) An Improved Quantitative Optional Randomised Response Technique with Additive Scrambling using Two Questions Approach. Communications in Advanced Mathematical Sciences 7 2 104–113.

IEEE

[1]N. Tiwari and T. K. Pandey, “An Improved Quantitative Optional Randomised Response Technique with Additive Scrambling using Two Questions Approach”, Communications in Advanced Mathematical Sciences, vol. 7, no. 2, pp. 104–113, June 2024, doi: 10.33434/cams.1435108.

ISNAD

Tiwari, Neeraj - Pandey, Tanuj Kumar. “An Improved Quantitative Optional Randomised Response Technique With Additive Scrambling Using Two Questions Approach”. Communications in Advanced Mathematical Sciences 7/2 (June 1, 2024): 104-113. https://doi.org/10.33434/cams.1435108.

JAMA

1.Tiwari N, Pandey TK. An Improved Quantitative Optional Randomised Response Technique with Additive Scrambling using Two Questions Approach. Communications in Advanced Mathematical Sciences. 2024;7:104–113.

MLA

Tiwari, Neeraj, and Tanuj Kumar Pandey. “An Improved Quantitative Optional Randomised Response Technique With Additive Scrambling Using Two Questions Approach”. Communications in Advanced Mathematical Sciences, vol. 7, no. 2, June 2024, pp. 104-13, doi:10.33434/cams.1435108.

Vancouver

1.Neeraj Tiwari, Tanuj Kumar Pandey. An Improved Quantitative Optional Randomised Response Technique with Additive Scrambling using Two Questions Approach. Communications in Advanced Mathematical Sciences. 2024 Jun. 1;7(2):104-13. doi:10.33434/cams.1435108

The published articles in CAMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License..

Abstract

An Improved Quantitative Optional Randomised Response Technique with Additive Scrambling using Two Questions Approach

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Early Pub Date

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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