Optimum stratification for exponential study variable under Neyman allocation

Khan, Mohammad G.M. and Sehar, N. and Ahsan, M.J. (2005) Optimum stratification for exponential study variable under Neyman allocation. Journal of the Indian Society of Agricultural Statistics, 59 (2). pp. 146-150. ISSN 0019-6363

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Abstract

For stratified sampling to be efficient the strata should be as homogeneous as possible with respect to the main study variable. In other words, the stratum boundaries are so chosen that the stratum variances are as small as possible. This could be done effectively when the frequency distribution ofthe main study variable is known. Usually this frequency distribution is unknown but it is possible to approximate it from the past experience and prior knowledge about the population. In the present paper the problem ofoptimum stratification is studied and formulated as a Mathematical Programming Problem (MPP) assuming exponential frequency distribution of the main study variable. The stratum boundaries are optimum in the sense that they minimize'the sampling variance ofthe stratified sample mean under Neyman allocation. The formulated MPP is separable with respect to the decision variables and is treated as a multistage decision problem. A solution procedure is developed using dynamic programming technique. A numerical example is also given to show the computational efficiency of the procedure.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Technology and Environment (FSTE) > School of Computing, Information and Mathematical Sciences
Depositing User:	Ms Mereoni Camailakeba
Date Deposited:	20 Apr 2005 04:05
Last Modified:	15 Mar 2017 22:10
URI:	https://repository.usp.ac.fj/id/eprint/3373

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