An Approximation to the Optimal Subsample Allocation for Small Areas

• Autorzy: W. B. Molefe , D. K. Shangodoyin , R. G. Clark
• Języki publikacji: EN

Abstrakty

EN

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. (original abstract)

Słowa kluczowe

EN

Small area estimates; Sampling survey; Estimators; Selection of test methods

PL

Statystyka małych obszarów; Badania reprezentacyjne; Estymatory; Dobór próby badawczej

• Czasopismo: Statistics in Transition
• Rocznik: 2015
• Tom: 16
• Numer: nr 2
• Strony: 163--182

Twórcy

autor

W. B. Molefe

• University of Botswana

autor

D. K. Shangodoyin

• University of Botswana

autor

R. G. Clark

• University of Wollongong

Bibliografia

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