Two-stage stratified partial randomized response strategies

Abstract

This article proposes two – stage stratified partial randomized response models based on Tracy and Osahan (1995) model and have large gain in precision. It is also shown that the proposed models are more efficient than Kim and Warde (2004) and Kim and Elam (2005) stratified randomized response models under the conditions presented in the case of completely truthful reporting and less than completely truthful reporting by the respondents. Numerical illustrations and graphs are also given in support of the present study.

Keywords:

• Randomized response technique
• stratified random sampling
• dichotomous population
• estimation of proportion
• partial randomized response procedure
• maximum likelihood estimator
• optimum allocation

Acknowledgments

The authors are grateful to the Editor-in-Chief Professor N. Balakrishnan and to the learned referees for their valuable suggestions regarding improvement of this article.