A Concise Theory of Randomized Response Techniques for Privacy and Confidentiality ProtectionaaThe views expressed in this chapter are those of the authors and not necessarily those of the US Census Bureau. The analysis and conclusions contained in this chapter are those of the authors and do not represent the official position of the US Energy Information Administration (EIA) or the

T.K Nayak,C Zhang,S.A Adeshiyan

doi:10.1016/bs.host.2016.01.015

A Concise Theory of Randomized Response Techniques for Privacy and Confidentiality ProtectionaaThe views expressed in this chapter are those of the authors and not necessarily those of the US Census Bureau. The analysis and conclusions contained in this chapter are those of the authors and do not represent the official position of the US Energy Information Administration (EIA) or the

T.K Nayak, C Zhang + Show 1 more

https://doi.org/10.1016/bs.host.2016.01.015

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Publication Date: Jan 1, 2016

Citations: 6

Affiliation: George Washington University

#Randomized Response #Privacy Protection + Show 8 more

Abstract
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Abstract

Abstract A variety of randomized response (RR) procedures for privacy and confidentiality protection have been proposed, studied, and compared in the literature. We describe statistically relevant attributes of RR mechanisms and use those to duly organize and unify existing estimation theories for diverse RR methods. Any RR procedure can be characterized by its transition probability matrix P, as it determines all statistical properties of the procedure. In RR surveys, P is fixed, but in post-randomization for confidentiality protection, P may depend on the original data. This affects statistical inferences significantly. We also review some optimality results in the comparison of RR surveys of a binary variable, based on both privacy protection and statistical efficiency.

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