Abstract

In this paper, we improve upon the negative binomial randomized response model by implementing a two-stage randomization process. Using the modified estimator of the proportion of members of a population possessing a sensitive attribute, we claim to achieve both better efficiency and better protection. The findings are verified based on extensive simulation study. Then we improvise the technique of use of negative hypergeometric distribution by introducing two-stage randomization response process. Using our new technique, we also assess the efficiency and protection of the respondents as compared to the negative hypergeometric model through extensive simulation studies. We also provide SAS codes used in the evaluations of the strategies considered.

摘要

在本文中，我们通过实施两阶段随机化过程改进了负二项式随机响应模型。使用具有敏感属性的群体成员比例的修正估计量，我们声称可以实现更好的效率和更好的保护。这些发现在广泛的模拟研究的基础上得到了验证。然后我们通过引入两阶段随机化响应过程来改进使用负超几何分布的技术。使用我们的新技术，我们还通过广泛的模拟研究评估了与负超几何模型相比的受访者的效率和保护。我们还提供了用于评估所考虑策略的 SAS 代码。