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Higher-Order Calibrated Estimators in Two-Stage Sampling (309843)

Keywords: two-stage sampling, auxiliary information, design weights, population mean, population variance

We consider a situation when the population variances of the primary stage units auxiliary variable and population mean of the auxiliary variable for all stages are known in a two-stage sample design. The higher order calibration weights, which make use of the population mean and variances at the estimation stage for all stage units, are generated. The resultant estimator is found to be consistent and have a variance smaller than the existing estimators in previous literature. The percent relative efficiency of the proposed estimator over the linear regression estimator has been demonstrated through numerical comparisons.