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Efficiency comparison of unrelated question models based on same privacy protection degree

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  • Sabrina Giordano
  • Pier Perri

Abstract

In this study, the problem of estimating the proportion π A of people bearing a sensitive attribute A is considered. Three dichotomous unrelated question mechanisms which are alternative to the well-known Simmons’ model are discussed and their performance is evaluated taking into account both efficiency and respondent privacy protection. The variance of the estimators of π A is compared under equal levels of confidentiality measures introduced by Lanke ( 1976 ) and Leysieffer and Warner ( 1976 ). Copyright Springer-Verlag 2012

Suggested Citation

  • Sabrina Giordano & Pier Perri, 2012. "Efficiency comparison of unrelated question models based on same privacy protection degree," Statistical Papers, Springer, vol. 53(4), pages 987-999, November.
    • Handle: RePEc:spr:stpapr:v:53:y:2012:i:4:p:987-999
    DOI: 10.1007/s00362-011-0403-4
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    References listed on IDEAS

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    1. Arijit Chaudhuri & Tasos Christofides & Amitava Saha, 2009. "Protection of privacy in efficient application of randomized response techniques," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 18(3), pages 389-418, August.
    2. Arijit Chaudhuri & Mausumi Bose & Kajal Dihidar, 2011. "Estimation of a sensitive proportion by Warner’s randomized response data through inverse sampling," Statistical Papers, Springer, vol. 52(2), pages 343-354, May.
    3. Gerty J. L. M. Lensvelt‐Mulders & Peter G. M. Van Der Heijden & Olav Laudy & Ger Van Gils, 2006. "A validation of a computer‐assisted randomized response survey to estimate the prevalence of fraud in social security," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 169(2), pages 305-318, March.
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    Cited by:

    1. Mausumi Bose, 2015. "Respondent privacy and estimation efficiency in randomized response surveys for discrete-valued sensitive variables," Statistical Papers, Springer, vol. 56(4), pages 1055-1069, November.

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