LibGuides: PhD Measurement and Assessment: PHDMAC730- Advanced Topics in Multilevel Modelling

Course Description

This course provides a comprehensive overview of multilevel models designed to deal with interactions between individual and contextual effects. Starting from exogenous microlevel data, individual effects are estimated first. Then, the estimated parameters are explained on the basis of characteristic features from the next higher hierarchical level. Point and interval estimators of the first and second hierarchical levels are derived. Regression estimation techniques (OLS, WLS, GLS) are described. There is also a presentation of Bayes estimation as well as full and restricted maximum-likelihood techniques for estimating variance and covariance components.

Articles

Peugh, J. L. (2010). A practical guide to multilevel modelling. Journal of School Psychology, 48(1), 85- 112.

Multilevel Modeling

Asparouhov, T. & Muthén, B. (2016). General random effect latent variable modeling: Random subjects, items, contexts, and parameters. In Harring, J. R., & Stapleton, L. M., & Beretvas, S. N. (Eds.), Advances in multilevel modeling for educational research: Addressing practical issues found in real-world applications (pp. 163-192). Charlotte, NC: Information Age Publishing, Inc. Mplus scripts.
Muthén, B. & Asparouhov, T. (2011). Beyond multilevel regression modeling: Multilevel analysis in a general latent variable framework. In J. Hox & J.K. Roberts (eds), Handbook of Advanced Multilevel Analysis, pp. 15-40. New York: Taylor and Francis.
Lüdtke, O., Marsh, H.W., Robitzsch, A., Trautwein, U., Asparouhov, T., & Muthén, B. (2008). The multilevel latent covariate model: A new, more reliable approach to group-level effects in contextual studies. Psychological Methods, 13, 203-229.
Asparouhov, T. & Muthén, B. (2007). Computationally efficient estimation of multilevel high-dimensional latent variable models. Proceedings of the 2007 JSM meeting in Salt Lake City, Utah, Section on Statistics in Epidemiology.
Muthén, B., Khoo, S.T. & Gustafsson, J.E. (1997). Multilevel latent variable modeling in multiple populations. Unpublished technical report.
Muthén, B. (1994). Multilevel covariance structure analysis. In J. Hox & I. Kreft (eds.), Multilevel Modeling, a special issue of Sociological Methods & Research, 22, 376-398.