The Calibration for Two-Phase Randomized Response Estimator

Abstract

This article presents the calibration procedure of the two-phase randomized response (RR) technique for surveying the sensitive characteristic. When the sampling scheme is two-phase or double sampling, auxiliary information known from the entire population can be used, but the auxiliary information should be information available from both the first and second phases of the sample. If there is auxiliary information available from both the first and second phases, then we can improve the ordinary two-phase RR estimator by incorporating this information in the estimation procedure. In this article, we used the new two-step Newton's method for computing unknown constants in the calibration procedure and compared the efficiency of the proposed estimator through some numerical study.

Keywords:

• Auxiliary information
• Calibration
• Generalized regression estimator
• Randomized response technique
• Two-phase sampling

Mathematics Subject Classification:

• 62D05

Acknowledgments

The authors are thankful to the Editor, Associate Editor, and two referees for the valuable comments on the original version of this manuscript which led to substantial improvement.