A Sensitive Estimation based on Multiplicative Stratified Unrelated Quantitative Randomized Response Model

Lee (2016) suggested a multiplicative unrelated quantitative randomized response model by adding unrelated quantitative variable to Bar-Lev et al.’s (2004) model. In this paper we extend our model to a stratified quantitative randomized response model which can be used to estimate not only quantitative sensitive attribute in each stratum but also population mean of them when the population is comprised of several strata. We cover the proportional and optimum allocation for the suggested model, and suggest a two sample multiplicative stratified unrelated quantitative randomized response model that can be used when unknowing the mean of unrelated variable. Finally we compare and analyse the efficiency of the suggested model with the existing multiplicative unrelated quantitative randomized response model. We can see that the suggested multiplicative stratified quantitative randomized response model itself is more efficiency than the existing Lee’s (2016) model under some condition and when using proportional allocation.