A stratified Mangat and Singh’s optional randomized response model using proportional and optimal allocation

Abstract

This paper suggests a stratified optional randomized response model based on Mangat and Singh (1994) model that has proportional and optimal allocation and larger gain in efficiency. Numerically it is found that the suggested model is more efficient than Kim and Warde (2004) stratified randomized response model and Mangat and Singh (1994) model. Graphical representations are also given in support of the present study.

Keywords

• Randomized response technique
• Stratified random sampling
• Simple random sampling with replacement
• Estimation of proportion
• Mean square error