Regression-Type Estimation of a Finite Population Mean in Two-Phase Sampling Using Auxiliary Variable and Attribute

Abstract

In this paper, by making regression adjustment, a class of estimators of the finite population mean under two-phase sampling is suggested which incorporates auxiliary information on quantitative and qualitative variables. Making approximation up to first order, bias and mean squared error (MSE) are obtained. A few particular cases of the estimators are discussed. The numerical and empirical comparisons of these estimators with ordinary ratio and regression estimators are carried out using a Monte Carlo simulation. Journal of Statistical Research 2021, Vol. 55, No. 2, pp. 377-393