Latent Variable Centering of Predictors and Mediators in Multilevel and Time-Series Models

References

• Asparouhov, T., Hamaker, E. L., & Muthén, B. (2017). Dynamic latent class analysis. Structural Equation Modeling, 24, 257-269. doi:10.1080/10705511.2016.1253479
   Google Scholar
• Asparouhov, T., Hamaker, E. L., & Muthén, B. (2018). Dynamic structural equation models. Structural Equation Modeling, 25, 359–388. doi:10.1080/10705511.2017.1406803
   Google Scholar
• Asparouhov, T., & Muthén, B., (2006a). Constructing covariates in multilevel regression, Mplus Web Notes 11, Retrieved from http://statmodel.com/download/webnotes/webnote11.pdf
   Google Scholar
• Asparouhov, T., & Muthén, B., (2006b). Multilevel modeling of complex survey data. Proceedings of the Joint Statistical Meeting in Seattle, August 2006. ASA Section on Survey Research Methods, 2718–2726.
   Google Scholar
• Asparouhov, T., & Muthén, B., (2010) Bayesian analysis using Mplus: Technical implementation. Retrieved from http://statmodel.com/download/Bayes3.pdf
   Google Scholar
• Asparouhov, T., & Muthén, B. (2018). Comparison of RDSEM and DSEM. Technical report. Retrieved from http://statmodel.com/
   Google Scholar
• Bolger, N., & Laurenceau, J. (2013). Intensive longitudinal methods: An introduction to diary and experience sampling research. New York, NY: Guilford Press.
   Google Scholar
• Enders, C., & Tofighi, D. (2007). Centering predictor variables in cross-sectional multilevel models: A new look at an old issue. Psychological Methods, 12, 121–138. doi:10.1037/1082-989X.12.2.121
   PubMed Web of Science ®Google Scholar
• Hamaker, E. L., & Grasman, R. P. P. P. (2015). To center or not to center? Investigating inertia with a multilevel autoregressive model. Frontiers in Psychology, 5, 1492. doi:10.3389/fpsyg.2014.01492
   PubMed Web of Science ®Google Scholar
• Lai, M. H. C., & Kwok, O. (2015). Examining the rule of thumb of not using multilevel modeling: The design effect smaller than two rule. The Journal of Experimental Education, 83(3), 423–438. doi:10.1080/00220973.2014.907229
   Web of Science ®Google Scholar
• 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. doi:10.1037/a0012869
   PubMed Web of Science ®Google Scholar
• Marsh, H. W., Kuyper, H., Morin, A., Parker, P., & Seaton, M. (2014). Big-fish-little-pond social comparison and local dominance effects: Integrating new statistical models, methodology, design, theory and substantive implications. Learning and Instruction, 33, 50–66. doi:10.1016/j.learninstruc.2014.04.002
   Web of Science ®Google Scholar
• Marsh, H. W., Lüdtke, O., Nagengast, B., Trautwein, U., Morin, A., Abduljabbar, A., & Köller, O. (2012). Classroom climate and contextual effects: Conceptual and methodological issues in the evaluation of group-level effects. Educational Psychologist, 47, 106–124. doi:10.1080/00461520.2012.670488
   Web of Science ®Google Scholar
• Marsh, H. W., Lüdtke, O., Robitzsch, A., Trautwein, U., Asparouhov, T., & Muthén, B. (2009). Doubly-latent models of school contextual effects: Integrating multilevel and structural equation approaches to control measurement and sampling error. Multivariate Behavioral Research, 44, 764–802. doi:10.1080/00273170903333665
   PubMed Web of Science ®Google Scholar
• McNeish, D. (2017). Multilevel mediation with small samples: A cautionary note on the multilevel structural equation modeling framework, Structural Equation Modeling,24, 609–625. doi:10.1080/10705511.2017.1280797
   Google Scholar
• Mundlak, Y. (1978). Pooling of Time-series and cross-section data. Econometrica: Journal of the Econometric Society, 46, 69–85. doi:10.2307/1913646
   Web of Science ®Google Scholar
• Muthén, B. (1990). Moments of the censored and truncated bivariate normal distribution. British Journal of Mathematical and Statistical Psychology, 43, 131–143. doi:10.1111/bmsp.1990.43.issue-1
   Web of Science ®Google Scholar
• Muthén, B. (1994). Multilevel covariance structure analysis. Sociological Methods & Research, 22, 376–398. doi:10.1177/0049124194022003006
   Web of Science ®Google Scholar
• Muthén, B., & Asparouhov, T. (2015). Causal effects in mediation modeling: An introduction with applications to latent variables. Structural Equation Modeling, 22, 12–23. doi:10.1080/10705511.2014.935843
   Google Scholar
• Muthén, B., Muthén, L., & Asparouhov, T. (2017). Regression and mediation analysis using Mplus. Los Angeles, CA: Muthén & Muthén.
   Google Scholar
• Muthén, B., & Satorra, A. (1995). Complex sample data in structural equation modeling. Sociological Methodology, 25, 267–316. doi:10.2307/271070
   Web of Science ®Google Scholar
• Nickell, S. (1981). Biases in dynamic models with fixed effects. Econometrica: Journal of the Econometric Society, 49(6), 1417–1426.
   Google Scholar
• Preacher, K. J., Zhang, Z., & Zyphur, M. J. (2016). Multilevel structural equation models for assessing moderation within and across levels of analysis. Psychological Methods, 21, 189–205. doi:10.1037/met0000052
   PubMed Web of Science ®Google Scholar
• Preacher, K. J., Zyphur, M. J., & Zhang, Z. (2010). A general multilevel SEM framework for assessing multilevel mediation. Psychological Methods, 15, 209–233. doi:10.1037/a0020141
   PubMed Web of Science ®Google Scholar
• Raudenbush, S. W., & Bryk, A. S. (2002). Hierarchical linear models (2nd ed.). Thousand Oaks, CA: Sage Publications.
   Google Scholar
• Verhagen, A. J., & Fox, J.-P. (2012). Bayesian tests of measurement invariance. British Journal of Mathematical and Statistical Psychology, 66(03), 383–401.
   Google Scholar
• Wooldridge, J. (2008). Introductory econometrics: A modern approach. Mason, OH: South-Western Cengage Learning.
   Google Scholar
• Zhang, Z., Hamaker, E., & Nesselroade, J. (2008). Comparisons of four methods for estimating a dynamic factor model. Structural Equation Modeling, 15, 377–402. doi:10.1080/10705510802154281
   Web of Science ®Google Scholar