Optimum allocation in two-stage and stratified two-stage sampling for multivariate surveys

Khan, Mohammad G.M. and Chand, Munish A. and Ahmad, Nesar (2006) Optimum allocation in two-stage and stratified two-stage sampling for multivariate surveys. [Conference Proceedings] (Unpublished)

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Abstract

When more than one characteristics are under study it is not possible for one reason or the other to use the individual optimum allocation of first-stage and second-stage sampling units to each stage and to various strata while using two-stage and stratified twostage sampling designs. In such situations some criterion is needed to work out an acceptable allocation which is optimum for all characteristics in some sense. In this paper the problems of the optimum allocation in multivariate two-stage and multivariate stratified twostage sampling are formulated as Nonlinear Programming Problems (NLPP). The NLPPs are then solved using Lagrange multiplier technique and explicit formulas are obtained for the optimum allocation of the first-stage and second-stage sampling units.

Item Type:	Conference Proceedings
Subjects:	Q Science > QA Mathematics
Divisions:	Office of the PVC (P&Q) Faculty of Science, Technology and Environment (FSTE) > School of Computing, Information and Mathematical Sciences
Depositing User:	Ms Neha Harakh
Date Deposited:	22 Mar 2006 05:09
Last Modified:	15 Mar 2017 23:06
URI:	https://repository.usp.ac.fj/id/eprint/3841

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