Deville and Sarndal (1992) developed calibration estimator by using the auxiliary information to obtain a better estimate of the population total of study variate and auxiliary variable . While calibration approach does not assume any explicit relationship between and but it assume only that , the population total of is known following Deville and Sarndal (1992) calibration approach, calibration estimators of finite population mean in two-stage stratified random sampling have been developed. The variances and unbiased estimator of their variances have been derived. In the present paper, an attempt has been made to conduct a limited simulation study to examine the relative performance of calibration approach based estimators. The real data has been taken from Appendix-C of Sarndal et al., (2003). The study variate y and the auxiliary variate x are the population of the Sweden in year 1985 and year 1975 which is divided in 284 municipalities (MU284). The results have been found that the calibration estimators have outperformed the usual estimator of finite population mean in two-stage stratified random sampling.

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