Often, in sample surveys, respondents refused to answer some questions of a sensitive nature. Randomized response methods are designed not to reveal respondent confidentiality. In this article, a new quantitative randomized response method is introduced, and by conducting a series of simulation studies, we show that the proposed method is preferable to the cumulative and multiplicative methods. By using unbiased predictors, we estimate the covariance between two sensitive variables. In an experimental study using the proposed method, the average number of cheating and the average daily cigarette consumption of the Shahid Chamran University of Ahvaz students are estimated along with their variance, and an estimate for the covariance between them is provided.
Salemian H, Mahmoudi E, Alavi S M R. Estimating the Means of Two Sensitive Variables with a New Quantitative Randomized Response Method. JSS 2024; 18 (1) URL: http://jss.irstat.ir/article-1-864-en.html