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Wayne A. Fuller

Iowa State University



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Emily Berg

Iowa State University



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Xiaofei Zhang

Iowa State University



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586 – Weighting and Variance Estimation

Survey Designs with Small Stratum Sample Sizes

Sponsor: Survey Research Methods Section
Keywords: Survey design, stratified sampling, design variance

Wayne A. Fuller

Iowa State University

Emily Berg

Iowa State University

Xiaofei Zhang

Iowa State University

One-per-stratum and Two-per-stratum designs are common survey sampling designs. The one-per-stratum design generally has the smallest variance, but no unbiased estimator of variance is available. We present an intermediate design which is a combination of the one-per-stratum and two-per-stratum designs, and for which an unbiased variance estimator is available. A closely related design is a one-per-stratum design with supplemental observations for variance estimation. We compare the variance and variance of estimated variance for versions of the intermediate design and for the supplement design.

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