Estimation of Sensitive Variable in Two-Phase Sampling under Measurement Error And Non-Response Using ORRT Models

Abstract

In human surveys, people are asked highly confidential questions concerning a sensitive variable. This article concentrate on the estimation of population mean of sensitive variable under two phase sampling using ORRT models. Also, the presence of non response and measurement errors is of concern while discussing the properties of the proposed estimators. The conditions under which the proposed estimator perform relatively better than the estimators based on recent studies are obtained. Simulation study also carried out in different situations over the data set of natural population and fictitious population to support the theoretical findings.

A class of estimators for finite population mean of a sensitive variable using Optional Randomized Response Technique(ORRT) Models

“…In the simulation when non-response and measurement error occurs simultaneously, Azeem M. [4], Azeem and Hanif [5],Kumar et al [23], Kumar and Sharma [22], etc, have studied the effect of measurement error and non-response together on the estimation of parameters of study variable. Further, Zhang et al [28], Kumar and Kour [21], Kumar et al [24] studied the mean estimation of sensitive variable under measurement error and non-response.…”