An efficient randomized response model utilizing higher order moments ratios of scrambling variables

ABSTRACT

In this paper, we have 89 suggested an improved randomized response (RR) model for estimating π, the proportion of respondents in the population belonging to the sensitive group. We have studied the properties of the RR model. The proposed model is found to be more efficient than the RR model studied by Gjestvang and Singh (2006). Numerical illustration is given in support of the present study.

KEYWORDS:

• Estimation of proportion
• simple random sampling with replacement
• variance
• efficiency comparison

AMS SUBJECT CLASSIFICATION:

• 62D05

Acknowledgments

Authors are heartily thankful to the Editor in Chief—Professor N. Balakrishnan and erudite referee for their valuable comments regarding improvement of the paper.