Moretti, A. and Whitworth, A. orcid.org/0000-0001-6119-9373 (2020) Development and evaluation of an optimal composite estimator in spatial microsimulation small area estimation. Geographical Analysis, 52 (3). pp. 351-370. ISSN 0016-7363
Abstract
A range of data is of geographic interest but is not available at a small area level from existing data sources. Small area estimation (SAE) offers techniques to estimate population parameters of target variables to detailed scales based on relationships between those target variables and relevant auxiliary variables. The resulting indirect small area estimate can deliver a lower mean squared error compared to its direct survey estimate, given that variance can be reduced markedly even if bias increases. Spatial microsimulation SAE approaches are widely utilized but only beginning to engage with the potential of composite estimators that use a weighted combination of indirect and direct estimators to reduce further the mean squared error of the small area estimate compared to an indirect SAE estimator alone. This article advances these approaches by constructing for the first time in the microsimulation literature an optimal composite estimator for such SAE approaches in which the combining weight is calculated from the mean squared errors of the two estimators; thus, optimizing the reduction in MSE of the resulting small area estimates. This optimal composite estimator is demonstrated and evaluated in a model‐based simulation study and application based on the real data.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 The Ohio State University. This is an author-produced version of a paper subsequently published in Geographical Analysis. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Small area estimation; calibration; expansion estimator; synthetic estimator; variance; composite estimation |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Social Sciences (Sheffield) > Department of Geography (Sheffield) |
Funding Information: | Funder Grant number Economic and Social Research Council (ESRC) ES/N011619/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 10 Sep 2019 11:09 |
Last Modified: | 10 Dec 2021 14:29 |
Status: | Published |
Publisher: | Wiley |
Refereed: | Yes |
Identification Number: | 10.1111/gean.12219 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:150659 |