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Con fidence intervals for posterior intercepts, with application to the PIAAC literacy survey

Einbeck, J.; Gray, E.; Sofroniou, N.; Marques da Silva Junior, A.H.; Gledhill, J.

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Authors

E. Gray

N. Sofroniou

A.H. Marques da Silva Junior

J. Gledhill



Contributors

M. Grzegorczyk
Editor

G. Ceoldo
Editor

Abstract

For variance component models, it is often the posterior estimate of the random effect (‘posterior intercept’) rather than the estimate of the fixed effect parameters, which is of main interest. This is the case, for instance, when ranking region–wise mortality rates (where the crude, regional rates are unreliable due to small observed counts) or for the construction of educational league tables from complex sample surveys. However, in order to be able to decide whether two cluster–level units can actually be distinguished, it is clear that one needs a measure of variability of these posterior intercepts. We present an exploration of methods to address this issue which appears to be still undeveloped in the context of the model class considered.

Citation

Einbeck, J., Gray, E., Sofroniou, N., Marques da Silva Junior, A., & Gledhill, J. (2017). Con fidence intervals for posterior intercepts, with application to the PIAAC literacy survey. In M. Grzegorczyk, & G. Ceoldo (Eds.), Proceedings of the 32nd International Workshop on Statistical Modelling : Groningen, Netherlands, 3-7 July, 2017 (217-222)

Conference Name 32nd International Workshop on Statistical Modelling
Conference Location Groningen, Netherlands
Start Date Jul 2, 2017
End Date Jul 7, 2017
Acceptance Date Mar 31, 2017
Publication Date Jan 1, 2017
Deposit Date Oct 6, 2017
Publicly Available Date Oct 9, 2017
Volume 1
Pages 217-222
Book Title Proceedings of the 32nd International Workshop on Statistical Modelling : Groningen, Netherlands, 3-7 July, 2017.
Public URL https://durham-repository.worktribe.com/output/1147705
Publisher URL https://iwsm2017.webhosting.rug.nl/

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