Multicriteria Evaluation of Randomized Response Techniques for Population Mean

Ondřej Vozár, L. Marek
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Abstract

Increasing demand in surveys focused on quantitative characteristics (population mean among others) of controversial issues like corruption, tax evasion, drugs consumption of sensitive variables like spending on drugs or illegal sources of income which lead to lively research, are of randomized response techniques for quantitative variables. Therefore, we propose complex multicriteria evaluation methodology for randomized response techniques for population mean. Based on extensive review in the literature, following ranges of criteria were proposed: statistical properties of estimator, implementation and parameter choice, respondent burden and credibility and confidentiality protection of respondents’ data. Finally, we evaluate in this setting standard techniques using scramble variables and recently proposed techniques of dichotomous question.
人口平均值随机响应技术的多标准评估
对腐败、逃税、毒品消费等有争议问题的定量特征(人口平均值等)的调查需求日益增加,对毒品消费或非法收入来源等敏感变量的调查需求也日益增加,这导致了对定量变量的随机应变技术的热烈研究。因此,我们提出了针对人口平均值的随机应变技术的复杂多标准评价方法。在广泛查阅文献的基础上,我们提出了以下标准范围:估计器的统计特性、实施和参数选择、受访者负担以及受访者数据的可信度和保密性保护。最后,我们对使用扰动变量的标准技术和最近提出的二分法问题技术进行了评估。
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