Estimation of Finite Population Mean Using Optional RRT Models in the Presence of Nonsensitive Auxiliary Information

SYNOPTIC ABSTRACT

Sousa, Shabbir, Corte-Real, and Gupta (2010) and Gupta, Shabbir, Sousa, and Corte-Real (2012) have presented ratio and regression estimators for the finite population mean of a sensitive study variable utilizing nonsensitive auxiliary information. We improve the results further by using optional scrambling. In the process, we also estimate the sensitivity level of the underlying sensitive question. We compare the proposed method with Sousa et al. (2010) and Gupta et al. (2012) estimators.

Key Words and Phrases::

• optional randomized response models
• ratio estimator, regression estimator
• mean square error.

Acknowledgments

The authors thank the referees whose careful reading of the paper helped improve the presentation of the final version.