Small area estimates of the population distribution by ethnic group in England: a proposal using structure preserving estimators
Small area estimates of the population distribution by ethnic group in England: a proposal using structure preserving estimators
This paper addresses the problem of producing small area estimates of Ethnicity by Local Authority in England. A Structure Preserving approach is proposed, making use of the Generalized Structure Preserving Estimator. In order to identify the best way to use the available aggregate information, three fixed effects models with increasing levels of complexity were tested. Finite Population Mean Square Errors were estimated using a bootstrap approach. However, more complex models did not perform substantially better than simpler ones. A mixed-effects approach does not seem suitable for this particular application because of the very small sample sizes observed in many areas. Further research on a more flexible fixed-effects estimator is proposed.
585-602
Luna, Angela
b4de50ed-b80a-4202-aaad-c97d057369ed
Zhang, Li-Chun
a5d48518-7f71-4ed9-bdcb-6585c2da3649
Whitworth, Alison
4761a642-3fd4-462d-83f0-faef7d6ec5c2
Piller, Kirsten
2d476e6b-2283-4848-b23c-cf42e7e95e02
1 November 2017
Luna, Angela
b4de50ed-b80a-4202-aaad-c97d057369ed
Zhang, Li-Chun
a5d48518-7f71-4ed9-bdcb-6585c2da3649
Whitworth, Alison
4761a642-3fd4-462d-83f0-faef7d6ec5c2
Piller, Kirsten
2d476e6b-2283-4848-b23c-cf42e7e95e02
Luna, Angela, Zhang, Li-Chun and Whitworth, Alison et al.
(2017)
Small area estimates of the population distribution by ethnic group in England: a proposal using structure preserving estimators.
Statistics in Transition, 16 (4), .
(doi:10.21307/stattrans-2015-034).
Abstract
This paper addresses the problem of producing small area estimates of Ethnicity by Local Authority in England. A Structure Preserving approach is proposed, making use of the Generalized Structure Preserving Estimator. In order to identify the best way to use the available aggregate information, three fixed effects models with increasing levels of complexity were tested. Finite Population Mean Square Errors were estimated using a bootstrap approach. However, more complex models did not perform substantially better than simpler ones. A mixed-effects approach does not seem suitable for this particular application because of the very small sample sizes observed in many areas. Further research on a more flexible fixed-effects estimator is proposed.
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SAE of ethnicity in England-Submitted final.pdf
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10.21307_stattrans-2015-034
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Accepted/In Press date: 1 April 2016
e-pub ahead of print date: 1 November 2017
Published date: 1 November 2017
Additional Information:
Joint Issue: Small Area Estimation 2014
Organisations:
Statistics, Social Statistics & Demography, Statistical Sciences Research Institute
Identifiers
Local EPrints ID: 394250
URI: http://eprints.soton.ac.uk/id/eprint/394250
ISSN: 1234-7655
PURE UUID: 240b0c16-853c-4c00-8bcd-d772905e5fcf
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Date deposited: 13 May 2016 08:41
Last modified: 15 Mar 2024 03:50
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Author:
Alison Whitworth
Author:
Kirsten Piller
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