PL EN


2015 | 16 | 4 | 585-602
Article title

Small Area Estimates of the Population Distribution by Ethnic Group in England: A Proposal Using Structure Preserving Estimators

Content
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Abstracts
EN
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.
Keywords
Year
Volume
16
Issue
4
Pages
585-602
Physical description
Contributors
author
author
  • University of Southampton
  • Office for National Statistics ONS-UK
References
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  • MOLINA, I., AYOUB S., LOMBARDIA, M. J., (2007). Small Area Estimates of Labour Force Participation under a Multinomial Logit Mixed Model. Journal of the Royal Statistical Society: Series A (Statistics in Society), 170 (4), 975–1000.
  • NOBLE, A., HASETT, S., ARNOLD, G., (2002). Small Area Estimation via Generalized Linear Models. Journal of Official Statistics, 18(1):45–68.
  • PFEFFERMANN, D., (2013). New Important Developments in Small Area Estimation. Statistical Science, 28 (1), 40–68.
  • PURCELL, N., KISH, L., (1980). Postcensal estimates for local areas (or domains). International Statistical Review, 48(1), 3–18.
  • RAO, J. N. K., (2003). Small Area Estimation. John Wiley & Sons.
  • SCEALY, J., (2010). Small Area Estimation Using a Multinomial Logit Mixed Model with Category Specific Random Effects. Research paper, Australian Bureau of Statistics.
  • UPTON, G., COOK, I., (2008). A Dictionary of Statistics. Oxford University Press.
  • ZHANG, L. C., CHAMBERS, R., (2004). Small area estimates for crossclassifications, Journal of the Royal Statistical Society: Series B (Statistical Methodology), 66(2), 479–496.
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.desklight-d4686c39-be8c-429c-9187-f485c896a2a3
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