Multilevel Structural Equation Modeling
Multilevel Structural Equation Modeling (not updated in a little while, but once pretty comprehensive)
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Frontiers in Psychology: Multilevel Structural Equation Modeling Research Topic Page
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Jak, S. (2014). Testing strong factorial invariance using three-level structural equation modeling. Frontiers in Psychology, 5, 745. (pdf coming soon)
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Lachowicz, M. J., Sterba, S. K., & Preacher, K. J. (2015). Investigating multilevel mediation with fully or partially nested data. Group Processes & Intergroup Relations, 18, 274-289(pdf coming soon)
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Lee, S. Y., & Song, X.-Y. (2001). Hypothesis testing and model comparison in two-level structural equation modeling. Multivariate Behavioral Research, 36, 639-655. (pdf)
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Leite, W. L., & Zuo, Y. (2011). Modeling latent interactions at level 2 in multilevel structural equation models: An evaluation of mean-centered and residual-centered unconstrained approaches. Structural Equation Modeling, 18, 449-464.
Liang, J., & Bentler, P. M. (2004). An EM algorithm for fitting two-level structural equation models. Psychometrika, 69, 101-122. (pdf)
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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. (pdf)
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Mehta, P. D., & Neale, M. C. (2005). People are variables too: Multilevel structural equation modeling. Psychological Methods, 10, 259-284. (pdf)
Merz, E. L., & Roesch, S. C. (2011). Modeling trait and state variation using multilevel factor analysis with PANAS daly diary data. Journal of Research in Personality, 45, 2-9. (pdf)
Muthén, B. (1989). Latent variable modeling in heterogeneous populations. Psychometrica, 54, 557-585. (pdf)
Muthén, B. (1990). Mean and covariance structure analysis of hierarchical data (UCLA Statistics Series No. 62). Los Angeles: University of California. (pdf)
Muthén, B. (1991). Multilevel factor analysis of class and student achievement components. Journal of Educational Measurement, 28, 338-354. (pdf)
Muthén, B. (1994). Multilevel covariance structure analysis. Sociological Methods and Research, 22, 376-398. (pdf)
Muthén, B. (2007). Latent variable modeling of longitudinal and multilevel data. Sociological Methodology, 27, 453-480. (pdf)
Muthén, B., & Asparouhov, T. (2009). Growth mixture modeling: Analysis with non-Gaussian random effects. In G. Fitzmaurice, M. Davidian, G. Verbeke, & G. Molenberghs (Eds.), Longitudinal Data Analysis (pp. 143-165). Boca Raton, FL: Chapman & Hall/CRC. (pdf)
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Peugh, J.L. (2006). Specification Searches in Multilevel Structural Equation Modeling: A Monte Carlo Investigation. (Unpublished doctoral dissertation). University of Nebraska, Lincoln. (pdf)
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Preacher, K. J., Zhang, Z., & Zyphur, M. J. (2011). Alternative methods for assessing mediation in multilevel data: The advantages of multilevel SEM. Structural Equation Modeling, 18, 161-182. (pdf)
Preacher, K. J. (2011). Multilevel SEM strategies for evaluating mediation in three-level data. Multivariate Behavioral Research, 46, 691-731. (pdf)
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Preacher, K. J., Zhang, Z., & Zyphur, M. J. (in press). Multilevel structural equation models for assessing moderation within and across levels of analysis. Psychological Methods (pdf coming soon)
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Ryu, E. (2011). Effects of skewness and kurtosis on normal-theory based maximum likelihood test statistic in multilevel structural equation modeling. Behavior Research Methods, 43, 1066-1074. (link)
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Ryu, E. (in press). The role of centering for interaction of level 1 variables in multilevel structural equation models. Structural Equation Modeling, YY-ZZ (pdf coming soon)
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Schermelleh-Engel, K., Kerwer, M., & Klein, A. G. (2014). Evaluation of model fit in nonlinear multilevel structural equation modeling. Frontiers in Psychology: Quantitative Psychology and Measurement. doi: 10.3389/fpsyg.2014.00181 (pdf coming soon)
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SSI Session 12 Document about Multilevel Structural Equation Modeling in LISREL
SSI Multilevel Structural Equation Modeling Technical Document
Stapleton, L. M. (2002). The incorporation of sample weights into multilevel structural equation modeling. Structural Equation Modeling, 9(4), 475-502. (pdf)
Stapleton, L. M. (2013). Using multilevel structural equation modeling techniques with complex sample data. In Hancock, G. R., & Mueller, R. (Eds). A Second Course in Structural Equation Modeling, 2nd Ed. (pp. 521-562). Greenwich, CT: Information Age Publishing. (pdf)
Sterba, S. K., Preacher, K. J., Forehand, R., Hardcastle, E., Cole, D. A., & Compas, B. E. (2014). Structural equation modeling approaches for analyzing partially nested data, Multivariate Behavioral Research, 49, 93-118. (pdf)
Wu, J.-Y., & Kwok, O.-m. (2012). Using SEM to analyze complex survey data: A comparison between design-based single-level and model-based multilevel approaches. Structural Equation Modeling, 19(1), 16-35. (pdf coming soon)
Yuan, K.-H., & Bentler, P. M. (2007). Multilevel covariance structure analysis by fitting multiple single-level models. Sociological Methodology, 37, 53-82. (pdf)
Zhang, Z., Zyphur, M. J., & Preacher, K. J. (2009). Testing multilevel mediation using hierarchical linear models: Problems and solutions. Organizational Research Methods, 12, 695-719. (pdf)
More to come...(if you have suggestions, feel free to send references)