A New Estimator Using Auxiliary Information in Stratified Adaptive Cluster Sampling
Affiliation(s)
Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, Thailand.
Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, Thailand.
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.
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.
KEYWORDS
Stratified Adaptive Cluster Sampling; Auxiliary Variable; Ratio Estimator; Product Estimator
Stratified Adaptive Cluster Sampling; Auxiliary Variable; Ratio Estimator; Product Estimator
Cite this paper
N. Chutiman, M. Chiangpradit and S. Suraphee, "A New Estimator Using Auxiliary Information in Stratified Adaptive Cluster Sampling," Open Journal of Statistics, Vol. 3 No. 4, 2013, pp. 278-282. doi: 10.4236/ojs.2013.34032.
N. Chutiman, M. Chiangpradit and S. Suraphee, "A New Estimator Using Auxiliary Information in Stratified Adaptive Cluster Sampling," Open Journal of Statistics, Vol. 3 No. 4, 2013, pp. 278-282. doi: 10.4236/ojs.2013.34032.
References
[1] S. K. Thompson, “Adaptive Cluster Sampling,” Journal of the American Statistical Association, Vol. 85, No. 412, 1990, pp. 1050-1059. doi:10.1080/01621459.1990.10474975 [2] S. K. Thompson and G. A. F. Seber, “Adaptive Sampling,” Wiley, New York, 1996. [3] W. A. Abu-Dayyeh, M. S. Ahmed, R. A. Ahmed and H. A. Muttlak, “Some Estimators of a Finite Population Mean Using Auxiliary Information,” Applied Mathematics and Computation, Vol. 139, No. 2-3, 2003, pp. 287298. doi:10.1016/S0096-3003(02)00180-7 [4] N. Chutiman and B. Kumphon, “Ratio Estimator Using Two Auxiliary Variables for Adaptive Cluster Sampling,” Journal of the Thai Statistical Association, Vol. 6, No. 2, 2008, pp. 241-256.
[1] S. K. Thompson, “Adaptive Cluster Sampling,” Journal of the American Statistical Association, Vol. 85, No. 412, 1990, pp. 1050-1059. doi:10.1080/01621459.1990.10474975 [2] S. K. Thompson and G. A. F. Seber, “Adaptive Sampling,” Wiley, New York, 1996. [3] W. A. Abu-Dayyeh, M. S. Ahmed, R. A. Ahmed and H. A. Muttlak, “Some Estimators of a Finite Population Mean Using Auxiliary Information,” Applied Mathematics and Computation, Vol. 139, No. 2-3, 2003, pp. 287298. doi:10.1016/S0096-3003(02)00180-7 [4] N. Chutiman and B. Kumphon, “Ratio Estimator Using Two Auxiliary Variables for Adaptive Cluster Sampling,” Journal of the Thai Statistical Association, Vol. 6, No. 2, 2008, pp. 241-256.