Improved Estimation of Finite-Population Mean Using Sub-Sampling to Deal with Non Response in Two-Phase Sampling Scheme

Abstract

Abstract This article proposes some alternative estimators for estimating the population mean of a study variable y using information on an auxiliary variable x in the presence of non response under two-phase sampling. The properties of the suggested estimators are given under a large-sample approximation, and the conditions are obtained in which the suggested estimators are better than the conventional unbiased estimators, usual two-phase sampling ratio, and product estimators. In addition, survey cost aspects are discussed under a linear cost function. A real agricultural population is used to present the application of the proposed estimators. Keywords: Auxiliary variateBiasNon responseStudy variateVarianceMathematics Subject Classification: Primary 62D05Secondary 62P20, 62P25