Calibration Estimators under Two Stage Sampling Design when Population Level Auxiliary Information was not available

Abstract

Auxiliary information is often used to improve the precision of estimators of finite population total. Calibration approach is widely used for making efficient use of auxiliary information in survey estimation. We proposed the 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. Through Simulation it was found that all the proposed estimators are performing better than the usual Horvitz-Thompson estimators under two stage sampling design.