Abstract
This article focuses on reducing the additional variance due to randomization of the responses. The idea of additive scrambling and its inverse has been used along with (i) split sample approach and (ii) double response approach. Specifically, our proposal is based on Gupta etal. (2006) randomized response model. We selected this model for improvement because it provides estimator of mean and sensitivity level of a sensitive variable and is better than all of its competitors proposed earlier to it and even Gupta etal. (2006) sensitivity estimator is better than that of Gupta etal. (2010). Our suggested estimators are unbiased estimators and perform better than Gupta etal. (2006) estimator. The issue of privacy protection is also discussed.