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Multilevel models for longitudinal data

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  • Fiona Steele

Abstract

Summary. Repeated measures and repeated events data have a hierarchical structure which can be analysed by using multilevel models. A growth curve model is an example of a multilevel random‐coefficients model, whereas a discrete time event history model for recurrent events can be fitted as a multilevel logistic regression model. The paper describes extensions to the basic growth curve model to handle auto‐correlated residuals, multiple‐indicator latent variables and correlated growth processes, and event history models for correlated event processes. The multilevel approach to the analysis of repeated measures data is contrasted with structural equation modelling. The methods are illustrated in analyses of children's growth, changes in social and political attitudes, and the interrelationship between partnership transitions and childbearing.

Suggested Citation

  • Fiona Steele, 2008. "Multilevel models for longitudinal data," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 171(1), pages 5-19, January.
    • Handle: RePEc:bla:jorssa:v:171:y:2008:i:1:p:5-19
    DOI: 10.1111/j.1467-985X.2007.00509.x
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    References listed on IDEAS

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    1. Fiona Steele & Constantinos Kallis & Harvey Goldstein & Heather Joshi, 2005. "The relationship between childbearing and transitions from marriage and cohabitation in Britain," Demography, Springer;Population Association of America (PAA), vol. 42(4), pages 647-673, November.
    2. Fiona Steele & Ian Diamond & Duolao Wang, 1996. "The determinants of the duration of contraceptive use in China: A multilevel multinomial discrete-hazards mdeling approach," Demography, Springer;Population Association of America (PAA), vol. 33(1), pages 12-23, February.
    3. Kenneth A. Bollen & Patrick J. Curran, 2004. "Autoregressive Latent Trajectory (ALT) Models A Synthesis of Two Traditions," Sociological Methods & Research, , vol. 32(3), pages 336-383, February.
    4. Fiona Steele & Harvey Goldstein, 2006. "A Multilevel Factor Model for Mixed Binary and Ordinal Indicators of Women's Status," Sociological Methods & Research, , vol. 35(1), pages 137-153, August.
    5. Sophia Rabe-Hesketh & Anders Skrondal & Andrew Pickles, 2004. "Generalized multilevel structural equation modeling," Psychometrika, Springer;The Psychometric Society, vol. 69(2), pages 167-190, June.
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