Advances and Applications in Statistics
Volume 15, Issue 1, Pages 49 - 59
(March 2010)
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A SIMULTANEOUS DETERMINATION OF THE OPTIMAL SAMPLE SIZE AND SAMPLING ALLOCATIONS FROM A STRATIFIED FINITE POPULATION
Shaul K. Bar-Lev and Benzion Boukai
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Abstract: A procedure for the simultaneous determination of the optimal sample size and the optimal sampling allocations from a stratified population is presented. Motivated by a real-life practicable application, the procedure allows, with a pre-assigned confidence level, the determination of the overall sample size required for achieving a prescribed level of (proportional) accuracy of the weighted sample average, while at the same time it provides the optimal sampling allocations to the various population’s strata. The objective is to draw sample of the entire population in a manner that would faithfully reflect, with a high confidence, a known characteristic of the population for the purpose of a personal interview or other such matters. The procedure is illustrated on a real-life data and an extensive numerical validation study is also provided. |
Keywords and phrases: sampling, optimal allocation, stratified sampling. |
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