Optimal Allocation for Equal Probability Two-Stage Design

Molefe, Wilford

doi:10.2478/stattrans-2022-0046

Autor

Molefe Wilford (University of Botswana, Botswana)

Tytuł

Optimal Allocation for Equal Probability Two-Stage Design

Źródło

Statistics in Transition, 2022, vol. 23, nr 4, s. 129-148, tab., bibliogr. 13 poz.

Słowa kluczowe

Estymacja, Estymatory, Metody estymacji, Metody statystyczne
Estimation, Estimators, Estimation methods, Statistical methods

Uwagi

summ.

Abstrakt

This paper develops optimal designs when it is not feasible for every cluster to be represented in a sample as in stratified design, by assuming equal probability two-stage sampling where clusters are small areas. The paper develops allocation methods for two-stage sample surveys where small-area estimates are a priority. We seek efficient allocations where the aim is to minimize the linear combination of the mean squared errors of composite small area estimators and of an estimator of the overall mean. We suggest some alternative allocations with a view to minimizing the same objective. Several alternatives, including the area-only stratified design, are found to perform nearly as well as the optimal allocation but with better practical properties. Designs are evaluated numerically using Switzerland canton data as well as Botswana administrative districts data. (original abstract)

Dostępne w

Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach

Pełny tekst

Bibliografia

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Cytowane przez

ISSN

1234-7655

Język

eng

URI / DOI

BazEkon - Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie

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