Estimator in Single-Stage Cluster Sampling: Searls Approach
Abstract
This paper presents two population mean estimators using Searls approach in single-stage cluster sampling with simple random sampling without replacement. The first estimator is developed based on the cluster mean when the coefficient of variation of cluster mean is known and the second based on the ratio of the cluster total mean and cluster size mean when the coefficients of variations of cluster total and cluster size are known. The population for efficiency comparisons of the two proposed estimators is a published data and consists of 20 clusters. Three sample sizes, 5, 10 and 15, are randomly selected from the population and 30 replications are performed for each sample size. It is found that the efficiencies of both estimators using Searls approach are higher than the traditional estimator in all cases under the conditions consistent with the derived conditions. Keywords : cluster sampling, coefficient of variation, correlation coefficient, MSE, relative efficiencyReferences
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Jitthavech, J. and Lorchirachoonkul, V. (2013). Estimators in Simple Random Sampling: Searls Approach.
Songklanakarin Journal of Science and Technology, 35,(6), 749-760.
Searls, D.T. (1964). The Utilization of a Known Coefficient of Variation in the Estimation Procedure. American
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Sharma, P., Verma, H.K., Sanaullah, A. and Singh, R. (2013). Some Exponential Ratio-Product Type Estimators
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Statistics and Economics, 12, 58-66.
Suwutthee, P. (2009). Sample Surveys: Sampling Designs and Analysis. Bangkok: WVO Officer of Printing Mill.
(in Thai)
Tin, M. (1965). Comparisons of Some Ratio Estimators. Journal of American Statistics Association, 60, 294-307.
Gupta, A.K. and Kabe, D.G. (2011). Theory of Sample Surveys. Singapore: World Scientific Publishing.
Jitthavech, J. and Lorchirachoonkul, V. (2013). Estimators in Simple Random Sampling: Searls Approach.
Songklanakarin Journal of Science and Technology, 35,(6), 749-760.
Searls, D.T. (1964). The Utilization of a Known Coefficient of Variation in the Estimation Procedure. American
Statistical Association Journal, 56, 1225-1226.
Sharma, P., Verma, H.K., Sanaullah, A. and Singh, R. (2013). Some Exponential Ratio-Product Type Estimators
Using Information on Auxiliary Attributes under Second Order Approximation. International Journal of
Statistics and Economics, 12, 58-66.
Suwutthee, P. (2009). Sample Surveys: Sampling Designs and Analysis. Bangkok: WVO Officer of Printing Mill.
(in Thai)
Tin, M. (1965). Comparisons of Some Ratio Estimators. Journal of American Statistics Association, 60, 294-307.
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Published
2017-01-31
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Research Article
