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Abstract

In the present study, the problem of mean estimation of a sensitive variable using three-stage RRT model under measurement errors is addressed. A generalized class of estimators is proposed using a mixture of auxiliary attribute and variable. Some members of the proposed generalized class of estimators are identified and studied. The bias and mean squared error (MSE) expressions for the proposed estimators are correctly derived up to first order Taylor's series of approximation. The proposed estimator's efficiency is investigated theoretically and numerically using real data. From the numerical study, the proposed estimators outperforms existing mean estimators. Furthermore, the efficiencies of the mean estimators’ decreases as the sensitivity level of the survey question increases.

Keywords

Auxiliary attributes Measurement errors Sensitivity level Bias

Article Details

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Author Biography

Ronald O Onyango, Jaramogi oginga odinga University of science and technology

Applied statistics and financial mathematics
How to Cite
Onyango, R. O., Oduor, B., & Odundo, F. (2023). Mean Estimation of a Sensitive Variable under Measurement Errors using Three-Stage RRT Model in Stratified Two-Phase Sampling. Pakistan Journal of Statistics and Operation Research, 19(1), 131-144. https://doi.org/10.18187/pjsor.v19i1.3929
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