Estimation of Means of Two Quantitative Sensitive Variables Using Randomized Response Technique

Abstract

I propose an improved randomized response model for the simultaneous estimation of population means of two quantitative sensitive variables by using blank card option that make use of one scramble response and another fake response. The properties of the proposed estimator have been analysed. To judge the performance of the proposed model, I have considered a real data set and it is to be pointed out that the proposed model is more efficient in terms of relative efficiencies and privacy protection of respondents as well. Suitable recommendations have been made to the survey practitioners.