Estimation of Finite Population Total in Stratified Sampling Under Error-in-variables Super Population Model

摘要

In the present paper, an attempt has been made to examine the effect of measurement error in the study variate on the efficiency of the model-based estimators of finite population total under super population model when variance of the study variate,y, is a function of the auxiliary variable x, related toy, and included as an independent variable in the model. Simulation results show that there is considerable loss in the precision of the estimators due to measurement error. However, such losses aremarginal if the variability in the measurement errors as compared to variability in model errors is small.