Paper Title:
A Unified Approach for Analysis of Randomized Response Surveys
  Abstract

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, 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
$32.00
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