Steele, Fiona 
ORCID: 0000-0001-6417-7444 and Goldstein, Harvey
(2006)
Multilevel models in psychometrics.
In: Rao, C. R. and Sinharay, S., (eds.)
Handbook of Statistics.
Elsevier North-Holland, Amsterdam; London, pp. 401-420.
ISBN 9780444521033
Abstract
This chapter provides models for repeated measures and multivariate data. It also introduces structural equation models and provides a description of simple multilevel models for data from populations with a two-level hierarchical structure. An analysis of variance (ANOVA) or fixed effects model is a way of allowing for school effects, which involves explanatory variables as a set of dummy variables that indicate the school to which a student belongs. While ANOVA can also be used to compare any number of schools, the random effects approach has a number of advantages over fixed effects models. First, if there are J schools to be compared, then J−1 parameters are required to capture school effects, and therefore, if J is large, a large number of parameters need to be estimated. Second, the origins of ANOVA lie in experimental design where there are typically a small number of groups under comparison and all groups of interest are sampled. In a fixed effects model, the effects of level 2 explanatory variables cannot be separately estimated.
| Item Type: | Book Section |
|---|---|
| Official URL: | http://www.elsevier.com/ |
| Additional Information: | © 2006 Elsevier B.V. |
| Divisions: | Statistics |
| Subjects: | H Social Sciences > HA Statistics |
| Date Deposited: | 02 Sep 2013 14:03 |
| Last Modified: | 01 Oct 2024 03:57 |
| URI: | http://eprints.lse.ac.uk/id/eprint/52220 |
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