In the present investigation, an improved strategy in two phase sampling for estimating the variance of the regression estimator has been developed. The proposed technique has been found to be more efficient than the strategy adopted by Hidiroglou and Sarndal (1995, 1998). The proposed strategy here is analogous to the higher order calibration approach proposed by Singh, Horn and Yu (1998). Many new estimators for estimating the variance of regression estimator have been studied theoretically as well as empirically. AMS (2000) Subject Classification: Primary 62D05; Secondary 62F10.
