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Forced Randomized Response Protocol Using Arbitrary Random Variable

Forced Randomized Response Protocol Using Arbitrary Random Variable

Original Research ArticleSep 16, 2022Vol. 23 No. 2 (2023) 10.55003/cast.2022.02.23.015

Abstract

Anonymous polls nowadays rely solely on centralization, which means that respondents should trust the owner's company not to share responses or look through all the submitted answers. However, there is a concept of randomized response which trades the need for trust with some error. In this paper, the classical forced randomized response protocol is extended by using an arbitrary random variable. We try to optimize the tradeoff between accuracy and privacy of the polling. The Gaussian random variable is chosen to perform simulations of our method. For the best model, the poll maker has to choose the parameters that maximize a utility function, which has to be defined due to the priority between privacy and accuracy. If the poll maker prioritizes voters’ privacy, our simulation shows that the best Gaussian random variable model, in this case, will be the model with = 0.9 and = 0.2. On the other hand, if the poll maker prioritizes accuracy, the best model for our experiment will be the one with = 0.9 and = 1.

Keywords: anonymity; privacy preserving; randomized response; sampling method

*Corresponding author: Tel.: (+66) 33013888 Fax: (+66) 33013889

                                             E-mail: pat.v@kvis.ac.th

References

1
Warner, S.L., 1965. Randomized response: A survey technique for eliminating evasive answer bias. Journal of the American Statistical Association, 60(309), 63-69.
2
Blair, G., Imai, K. and Zhou, Y.Y., 2015. Design and analysis of the randomized response technique. Journal of the American Statistical Association, 110, 1304-1319.
3
Boruch, R.F., 1971. Assuring confidentiality of responses in social research: A note on strategies. American Sociologist, 6, 308-311.
4
Kuk, A.Y., 1990. Asking sensitive questions Indirectly. Biometrika, 77(2), 436-438.
5
Greenberg, B.G., Kuebler, R.R., Abernathy, J.R. and Horvitz, D.G., 1971. Application of the randomized response technique in obtaining quantitative data. Journal of the American Statistical Association, 66, 243-250.

Author Information

Pat Vatiwutipong*

Kamnoetvidya Science Academy, Rayong, Thailand

Pat Vatiwutipong*

Kamnoetvidya Science Academy, Rayong, Thailand

Pat Vatiwutipong*

Kamnoetvidya Science Academy, Rayong, Thailand

Pat Vatiwutipong*

Kamnoetvidya Science Academy, Rayong, Thailand

Pat Vatiwutipong*

Kamnoetvidya Science Academy, Rayong, Thailand

About this Article

Current Journal

Vol. 23 No. 2 (2023)

Type of Manuscript

Original Research Article

Keywords

anonymity;
privacy preserving;
randomized response;
sampling method

Published

16 September 2022

DOI

10.55003/cast.2022.02.23.015

Current Journal

Journal Cover
Vol. 23 No. 2 (2023)

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