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Computer Program in MATLAB for Optimum Allocation for Multivariate Stratified Sampling

by Manoj Kumar, Mohd. Vaseem, Vinod Kumar
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 117 - Number 10
Year of Publication: 2015
Authors: Manoj Kumar, Mohd. Vaseem, Vinod Kumar
10.5120/20592-3041

Manoj Kumar, Mohd. Vaseem, Vinod Kumar . Computer Program in MATLAB for Optimum Allocation for Multivariate Stratified Sampling. International Journal of Computer Applications. 117, 10 ( May 2015), 32-36. DOI=10.5120/20592-3041

@article{ 10.5120/20592-3041,
author = { Manoj Kumar, Mohd. Vaseem, Vinod Kumar },
title = { Computer Program in MATLAB for Optimum Allocation for Multivariate Stratified Sampling },
journal = { International Journal of Computer Applications },
issue_date = { May 2015 },
volume = { 117 },
number = { 10 },
month = { May },
year = { 2015 },
issn = { 0975-8887 },
pages = { 32-36 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume117/number10/20592-3041/ },
doi = { 10.5120/20592-3041 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:59:00.551991+05:30
%A Manoj Kumar
%A Mohd. Vaseem
%A Vinod Kumar
%T Computer Program in MATLAB for Optimum Allocation for Multivariate Stratified Sampling
%J International Journal of Computer Applications
%@ 0975-8887
%V 117
%N 10
%P 32-36
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we develop a MAT LAB computer program for the optimum allocation for multivariate stratified sampling with non-linear cost function –travel cost. The generalized MATLAB program for solving multi variate or multi objective linear programming based on with some major modifications in earlier algorithms. The proposed modified algorithm as well as MATLAB program simplifies the earlier algorithm on Multivariate linear programming problems. The problem of determining the optimum allocations are formulated as Nonlinear Programming Problems , in which each NLPP has a convex objective function and a non-linear cost constraint. The NLLP's are then solved using Lagrange Multiplier technique and the explicit formula for variance is obtained.

References
  1. Dalenius, T. (1953) "The Multivariate Sampling Problem", Skandinavisk Actuarietidskrift, 36, 92-102.
  2. Yates,F. ,( 1960) "Sampling Methods for census and survey". London:Charles Griffin & Company.
  3. Aoyama, H. ,( 1963) "Stratified random sampling with optimum allocation for multivariate populations", Ann. Inst. Stat. Math. , Vol. 14, pp. 251-258.
  4. Chatterjee, S. , (1967) "A note on optimum allocation", Scandinavian Actuarial Journal 50, 40-44.
  5. Kokan, A. R. and Khan, S. ,( 1967) "Optimum allocation in multivariate surveys: An analytical solution", Journal of the Royal Statistical Society, Series B 29, 115-125.
  6. Chatterjee, S. (1972) "A Study of Optimum Allocation in Multivariate Stratified Surveys", Skandinavisk Actuarietidskrift, 55, 73-80.
  7. Khan, M. G. M. and Ahsan, M. J. (2003) "A Note on Optimum Allocation in Multivariate Stratified Sampling", South Pacific Journal of Natural Science, Vol. 21, pp. 91-95.
  8. Fu, Yan and Diwekar, U. M. (2004)" An efficient sampling approach to multiobjective optimization", Annals of Operation Research. ,Vol. 132, pp. 109-134.
  9. Ismail, M. V. , and Razzaq, A. ,(2004) " Chebyshev solution to a multivariate stratified sampling problem", Pure and Applied Mathematika Sciences. LIX, pp. 1-2.
  10. SAMITA S. and KUMARI W. M. R. (2006) "Multivariate Based Stratification as an Alternative to Multi–stage Stratification in Stratified Random Sampling" Sri Lankan Journal of Applied Statistics, Vol. 7, p. 55-69.
  11. José Antonio, Diaz Garcia & Liliana Ulloa Cortez,(2006) "Optimum Allocation in multivariate stratified sampling: multi-objective programming", Comunicación Técnica No I-06-07/28-03-, (PE/CIMAT).
  12. José A. Diaz Garcia and Liliana Ulloa Cortez,(2008) "Multi-objective optimization for optimum allocation in multivariate stratified sampling", Statistics Canada, Catalogue No. 12-001-X, Vol. 34, No. 2, pp. 215-222, Survey Methodology.
  13. Khan. M. G. M. , Khan, E. A. and Ahsan, M. J. (2008) "Optimum allocation in multivariate stratified sampling in presence of Non-response" J. Ind. Soc. Aggril. Statist, 62(1), 42-48.
  14. Charles Day D. (2010) "A Multi-Objective Evolutionary Algorithm for Multivariate Optimal Allocation", Section Survey Research Method – JSM, 3351-3358.
Index Terms

Computer Science
Information Sciences

Keywords

Non linear programming Multivariate Stratified sampling optimum allocation

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