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Constructing optimal randomized response designs with consideration for the level of privacy protection

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  • Kuo‐Chung Huang

Abstract

This paper considers the problem of procuring truthful responses to estimate the proportion of qualitative characteristics. In order to protect the respondent's privacy, various techniques of generating randomized response rather than direct response are available in the literature. But the theory concerning them is generally developed with no attention to the required level of privacy protection. Illustrating two randomization devices, we show how optimal randomized response designs may be achieved. The optimal designs of forced response procedure as well as BHARGAVA and SINGH [Statistica (2000) Vol. 6, pp 315–321] procedure are shown to be special cases. In addition, the equivalent designs of optimal WARNER [Journal of the American Statistical Association (1965) Vol. 60, pp. 63–69] procedure are considered as well. It is also shown that stratification with proportional allocation will be helpful for improving the estimation efficiency.

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  • Kuo‐Chung Huang, 2007. "Constructing optimal randomized response designs with consideration for the level of privacy protection," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 61(3), pages 284-291, August.
    • Handle: RePEc:bla:stanee:v:61:y:2007:i:3:p:284-291
    DOI: 10.1111/j.1467-9574.2007.00352.x
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