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Respondent privacy and estimation efficiency in randomized response surveys for discrete-valued sensitive variables

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  • Mausumi Bose

Abstract

In some socio-economic surveys, data are collected on sensitive issues such as tax evasion, criminal conviction, drug use, etc. In such surveys, direct questioning of respondents is not of much use and the randomized response technique is used instead. A few researchers have studied the issue of privacy protection for surveys where the objective is to estimate the proportion of persons bearing the sensitive trait. Not much is known about respondent protection when the variable under study is a discrete quantitative variable and the objective is to estimate the population mean. In this article we study this issue. We propose a scheme for this issue and a measure of privacy. We show that given a stipulated level of this privacy measure, we can determine the parameter of the randomization device so as to maximize the efficiency of estimation, while guaranteeing the desired level of privacy protection. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • 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.
    • Handle: RePEc:spr:stpapr:v:56:y:2015:i:4:p:1055-1069
    DOI: 10.1007/s00362-014-0624-4
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    References listed on IDEAS

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    1. 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.
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    3. Sanghamitra Pal, 2008. "Unbiasedly estimating the total of a stigmatizing variable from a complex survey on permitting options for direct or randomized responses," Statistical Papers, Springer, vol. 49(2), pages 157-164, April.
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    5. Lucio Barabesi & Sara Franceschi & Marzia Marcheselli, 2012. "A randomized response procedure for multiple-sensitive questions," Statistical Papers, Springer, vol. 53(3), pages 703-718, August.
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    7. Raghunath Arnab, 2007. "Randomized response techniques for complex survey designs," Statistical Papers, Springer, vol. 48(2), pages 349-349, April.
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