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

Kuo-Chung Huang

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

机译：考虑隐私保护级别构建最佳的随机响应设计

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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.

机译：本文考虑了获取真实回答以估计定性特征比例的问题。为了保护受访者的隐私，文献中提供了多种生成随机响应而非直接响应的技术。但是，关于它们的理论通常是在没有关注所需的隐私保护级别的情况下开发的。通过说明两个随机设备，我们展示了如何实现最佳的随机响应设计。强制响应程序以及Bhargava和Singh的最佳设计[Statistica（2000）Vol。图6，第315-321页]显示为特殊情况。此外，最佳华纳的等效设计[美国统计协会杂志（1965）第1卷。 [第60卷，第63-69页]。还表明，按比例分配进行分层将有助于提高估计效率。

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《Statistica neerlandica》 |2007年第3期|p. 284-291|共8页
作者
Kuo-Chung Huang;
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作者单位

Department of Business Administration, Chungyu Institute of Technology, 40 Yi-Seventh Road, Keelung, Taiwan 201, ROC;

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正文语种 eng
中图分类经济计算、经济数学方法;统计学;经济计算、经济数学方法;
关键词
dichotomous population; jeopardy function; sample surveys; sensitive characteristic;

机译：二分人口危险函数抽样调查敏感特征;

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

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