Optimizing population mean estimation using regression and factor type estimators in the presence of non-response

Abstract

This paper addresses the problem of estimating the population mean of the study variable, Y, in the presence of non-response. To address this, we incorporated two additional variables, X and Z, as auxiliary variables. We introduced two classes of estimators that combine regression and factor type estimators, each applied under distinct circumstances, and described their properties. The biases and mean square errors (MSEs) of these proposed estimators were computed using a large sample approximation. To assess the effectiveness of our estimators compared to existing ones, we conducted an empirical study. The results from both empirical and theoretical investigations indicate promising outcomes for the proposed estimators.

Keywords

• 62D05