A Unified Approach for Analysis of Randomized Response Surveys

Abstract:

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In this paper, we propose a class of estimators for the population mean of a sensitive variable, taking account into a generic randomization scheme, under the simple random sampling with replacement (SRSWR), when the mean of a supplementary non-sensitive variable is known. The minimum attainable variance bound of the class is obtained and the best estimator is also defined. We prove that the best estimator acts as a regression estimator which is at least as efficient as the corresponding estimator without the auxiliary variable. A new measure of privacy protection is built, and some models can be compared from the perspective of efficiency and privacy protection.

Info:

Periodical:

Advanced Materials Research (Volumes 143-144)

Edited by:

H. Wang, B.J. Zhang, X.Z. Liu, D.Z. Luo, S.B. Zhong

Pages:

1259-1263

DOI:

10.4028/www.scientific.net/AMR.143-144.1259

Citation:

Z. M. Hong and Z. Z. Yan, "A Unified Approach for Analysis of Randomized Response Surveys", Advanced Materials Research, Vols. 143-144, pp. 1259-1263, 2011

Online since:

October 2010

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Price:

$35.00

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