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An Approximation To The Optimal Subsample Allocation For Small Areas

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Molefe W. B., Shangodoyin D. K., Clark R. G.

Statistics in Transition new series

2015

vol. 16

issue 2

163-182

This paper develops allocation methods for stratified sample surveys in which small area estimation is a priority. We assume stratified sampling with small areas as the strata. Similar to Longford (2006), we seek efficient allocation that minimizes a linear combination of the mean squared errors of composite small area estimators and of an estimator of the overall mean. Unlike Longford, we define mean-squared error in a model-assisted framework, allowing a more natural interpretation of results using an intra-class correlation parameter. This allocation has an analytical form for a special case, and has the unappealing property that some strata may be allocated no sample. We derive a Taylor approximation to the stratum sample sizes for small area estimation using composite estimation giving priority to both small area and national estimation.

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1 Statistics in Transition new series

1 Clark R. G.

1 Molefe W. B.

1 Shangodoyin D. K.

1 2015

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An Approximation To The Optimal Subsample Allocation For Small Areas