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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 [Conference Proceedings] (Unpublished)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 17:09
    Last Modified: 16 Mar 2017 11:06
    URI: http://repository.usp.ac.fj/id/eprint/3841
    UNSPECIFIED

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