The randomized response technique (RRT) is an effective method designed to obtain the stigmatized information from respondents while assuring the privacy. In this study, we propose a new two-stage RRT model to estimate the prevalence of sensitive attribute ($\text{π}$). A simulation study shows that the empirical mean and variance of proposed estimator are close to corresponding theoretical values. The utility of proposed two-stage RRT model under stratification is also explored. An efficiency comparison between proposed two-stage RRT model and some existing RRT models is carried out numerically under simple and stratified random sampling.

中文翻译：

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一种改进的两阶段随机响应模型，用于估计敏感属性的比例

随机响应技术（RRT）是一种有效的方法，旨在确保被调查者在获得隐私的同时获得被污名化的信息。在这项研究中，我们提出了一个新的两阶段RRT模型来估算敏感属性的普遍程度（$\text{π}$）。仿真研究表明，该估计量的经验均值和方差接近于相应的理论值。还探讨了所提出的两阶段RRT模型在分层情况下的效用。在简单且分层的随机抽样下，对所提出的两阶段RRT模型与某些现有RRT模型之间的效率进行了数值比较。