Optimal allocation of stratified sampling design using Gradient Projection method

Author:

Lone M. A1,Mir S. A1,Khan Imran1,Wani M. S1

Affiliation:

1. Division of Agri.stat, SKUAST-K

Abstract

This article deals with the problem of finding an optimal allocation of sample sizes in stratified sampling design to minimize the cost function. In this paper the iterative procedure of Rosen’s Gradient projection method is used to solve the Non linear programming problem (NLPP), when a non integer solution is obtained after solving the NLPP then Branch and Bound method provides an integer solution.

Publisher

Oriental Scientific Publishing Company

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference37 articles.

1. Ahsan, M. J., Najmussehar and Khan ,M. G.M. Mixed allocation in stratified sampling .Aligrah Journal of Statistics sciences 25(2005)87-97.

2. Ansari A.H., Najmussehar and Ahsan M.J. On Multiple Response Stratified Random Sampling Design, International Journal of Statistical Sciences, 1(2009) 45-54.

3. Aoyama H. Stratified Random Sampling with Optimum Allocation for Multivariate Populations, Annals of the institute of statistical Mathematics. 14(1963)251–258.

4. CrossRef

5. Arthanari ,T.S., and Dodge, Y.Mathematical programming in statistics. New York: John Willy(1981).

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