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Stas Kolenikov

Abt SRBI



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Igor Griva

George Mason University



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492 – SPEED: Advances in Survey Research Methodology

Sampling with Minimal Strata Sample Size Requirements

Sponsor: Survey Research Methods Section
Keywords: stratification, sampling, sample size, nonlinear optimization, statistical computing, survey cost

Stas Kolenikov

Abt SRBI

Igor Griva

George Mason University

We consider the problem of optimal stratified single stage sampling design where minimal sample size requirements are specified for all strata. We show that the problem reduces to unidimensional optimization, and present an algorithm that solves it. We discuss the substantive interpretation of the algorithm and Lagrange multipliers in terms of the sampling problem at hand. An illustrative numerical example is provided.

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