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Activity Number:
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65
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Type:
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Contributed
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Date/Time:
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Sunday, August 6, 2006 : 4:00 PM to 5:50 PM
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Sponsor:
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Section on Survey Research Methods
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| Abstract - #305978 |
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Title:
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Optimum Allocation in Two-Stage and Stratified Two-Stage Sampling for Multivariate Surveys
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Author(s):
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M. G. M. Khan*+ and Munish A. Chand
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Companies:
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The University of the South Pacific and The University of the South Pacific
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Address:
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School of Computing, Information, and Mathematical Science, Suva, 1168, Fiji
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Keywords:
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multivariate two-stage sampling ; multivariate stratified two-stage sampling ; first-stage sampling units ; second-stage sampling units ; optimum allocation ; nonlinear programming problem
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Abstract:
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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 two-stage 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 two-stage 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.
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