On the Estimation of Variance of Calibration Regression Estimators with Multiple Auxiliary ..

The principle of calibration estimators is introduced to Statistical Regression Estimation in this paper, and a multivariate calibration regression (M-REG) estimator of population mean in stratified random sampling is proposed. Using the theory of analysis of variance, it develops a new approach to variance estimation that is more effective in estimating populations with multiple auxiliary variables (ANOVA). The relative performance of the new variance estimation method in comparison to the proposed MREG estimator's variance estimation is empirically compared with a comparable global variance estimation method. The results of the analysis and assessment demonstrated the superiority of the proposed new method. method for estimating variance.

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