Higher Order Calibration Estimator of Finite Population Total Under Two Stage Sampling Design When Population Level Auxiliary Information is Available at Unit Level.

Abstract

Auxiliary information is often used to improve the precision of estimators of finite population total. Calibration approach (Deville and Sarndal,1992) is widely used for making efficient use of auxiliary information in survey estimation. Aditya et al. (2016) proposed regression type estimators of the population total using the calibration approach under the assumption that the population level auxiliary information is available at secondary stage unit level under two stage sampling design. In this paper we have proposed an improved variance estimator of the regression type estimator proposed by Aditya et al. (2016) using higher order calibration approach (Singh et al., 1998). We carried out limited simulation studies to demonstrate the empirical performance of proposed estimators. Our empirical results show that the proposed estimator performs better than the usual estimator of variances of the regression type estimator (Aditya et al., 2016).