Communications in Statistics - Theory and Methods | 2019
Estimation of population proportion of a qualitative character using randomized response technique in stratified random sampling
Abstract
ABSTRACT This paper proposes an efficient stratified randomized response model based on Chang et al. s (2004) model. We have obtained the variance of the proposed estimator of πs, the proportion of the respondents in the population belonging to a sensitive group, under proportional and Neyman allocations. It is shown that the estimator based on the proposed model is more efficient than the Chang et al. s (2004) estimator under both proportional as well as Neyman allocations, Hong et al. s (1994) estimator and Kim and Warde s (2004) estimator. Numerical illustration and pictorial representation are given in support of the present study.