Abstract

In this article, we propose a new randomized response model to estimate the population total of a sensitive variable of quantitative nature. The objective is achieved by introducing additive scrambling mechanism when sample is drawn through probability proportional to size sampling scheme. The performance evaluation of the proposed model is carried with respect to notable model of Odumade and Singh (2010 Odumade, O., and S. Singh. 2010. An alternative to the Bar-Lev, Bobovitch, and Boukai randomized response model. Sociological Methods & Research 39 (2):206–21. doi:10.1177/0049124110378094.[Crossref], [Web of Science ®] , [Google Scholar]). To maintain the generality, we consider variety of settings of design parameters. Furthermore, log-log model approach is employed to assess the predictive effects of design parameters over the percentage relative efficiency of the proposed scheme. The gain of using proposed method over contemporary model is documented throughout the article.

摘要

在本文中，我们提出了一种新的随机响应模型来估计数量性质的敏感变量的总体总数。该目标是通过在通过与大小采样方案成比例的概率抽取样本时引入加性加扰机制来实现的。所提出模型的性能评估是针对 Odumade 和 Singh ( 2010 ) 的显着模型进行的 Odumade、O . 和S. Singh。2010 年。Bar-Lev、Bobovitch 和 Boukai 随机响应模型的替代方案。社会学方法与研究39 (2): 206 – 21。doi: 10.1177/0049124110378094。[交叉引用]、[Web of Science®]、 [谷歌学术]）。为了保持一般性，我们考虑了设计参数的各种设置。此外，采用对数对数模型方法来评估设计参数对所提出方案的相对效率百分比的预测效果。整篇文章都记录了使用所提出的方法优于当代模型的好处。