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A New Estimator Using Auxiliary Information in Stratified Adaptive Cluster Sampling
Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, Thailand
Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, Thailand
Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, Thailand
- 1 Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, Thailand
- 2 Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, Thailand
- 3 Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, Thailand
Open Journal of Statistics·Volume 03 (2013)·Pages 278–282·Published 16 August 2013·DOI10.4236/ojs.2013.34032
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Abstract
In this paper, we study the estimators of the population mean in stratified adaptive cluster sampling by using the information of the auxiliary variable. Simulations showed that if the variable of interest ( y ) and the auxiliary variables ( x , z ) have high positive correlation then the estimate of the mean square error of the ratio estimators is less than the estimate of the mean square error of the product estimator. The estimators which use only one auxiliary variable were better than the estimators which use two auxiliary variables.
KeywordsStratified Adaptive Cluster SamplingAuxiliary VariableRatio EstimatorProduct Estimator
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