1,713
Views
22
CrossRef citations to date
0
Altmetric
Teacher’s Corner

The Role of Centering for Interaction of Level 1 Variables in Multilevel Structural Equation Models

REFERENCES

  • Aiken, L. S., & West, S. G. (1991). Multiple regression: Testing and interpreting interactions. Newbury Park, CA: Sage.
  • Ansari, A., Jedidi, K., & Dube, L. (2002). Heterogeneous factor analysis models: A Bayesian approach. Psychometrika, 67, 49–78.
  • Aryee, S., Walumbwa, F. O., Seidu, E. Y. M., & Otaye, L. E. (2012). Impact of high-performance work systems on individual- and branch-level performance: Test of a multilevel model of intermediate linkages. Journal of Applied Psychology, 97, 287–300.
  • Bentler, P. M., & Liang, J. (2003). Two-level mean and covariance structures: Maximum likelihood via EM algorithm. In S. P. Reise & N. Duan (Eds.), Multilevel modeling: Methodological advances, issues, and applications (pp. 53–70). Mahwah, NJ: Erlbaum.
  • Bohrnstedt, G. W., & Goldberger, A. S. (1969). On the exact covariance of products of random variables. Journal of the American Statistical Association, 64, 1439–1442.
  • Bollen, K. A., Bauer, D. J., Christ, S. L., & Edwards, M. C. (2010). Overview of structural equation models and recent extensions. In S. Kolenikov, D. Steinley, & L. Thombs (Eds.), Statistics in the social sciences: Current methodological developments (pp. 37–79). Hoboken, NJ: Wiley.
  • Bulotsky-Shearer, R. J., Dominguez, X., & Bell, E. R. (2012). Preschool classroom behavioral context and school readiness outcomes for low-income children: A multilevel examination of child- and classroom-level influences. Journal of Educational Psychology, 104, 421–438.
  • Cooper, M. L. (2010). Toward a person × situation model of sexual risk-taking behaviors: Illuminating the conditional effects of traits across sexual situations and relationship contexts. Journal of Personality and Social Psychology, 98, 319–341.
  • Curran, P. J., & Bauer, D. J. (2011). The disaggregation of within-person and between-person effects in longitudinal models of change. Annual Review of Psychology, 62, 583–619.
  • Edwards, J. R., & Lambert, L. S. (2007). Methods for integrating moderation and mediation: A general analytical framework using moderated path analysis. Psychological Methods, 12, 1–22.
  • Enders, C. K., & Tofighi, D. (2007). Centering predictor variables in cross-sectional multilevel models: A new look at an old issue. Psychological Methods, 12, 121–138.
  • Goldstein, H., & McDonald, R. P. (1988). A general model for the analysis of multilevel data. Psychometrika, 53, 455–467.
  • Jedidi, K., & Ansari, A. (2001). Bayesian structural equation models for multilevel data. In G. A. Marcoulides & R. E. Schumacker (Eds.), New developments and techniques in structural equation modeling (pp. 129–157). Mahwah, NJ: Erlbaum.
  • Kreft, I. G. G., de Leeuw, J., & Aiken, L. S. (1995). The effect of different forms of centering in hierarchical linear models. Multivariate Behavioral Research, 30, 1–21.
  • Liang, J., & Bentler, P. M. (2004). An EM algorithm for fitting two-level structural equation models. Psychometrika, 69, 101–122.
  • Longford, N. T., & Muthén, B. O. (1992). Factor analysis for clustered observations. Psychometrika, 57, 581–597.
  • Lüdtke, O., Marsh, H. W., Robitzsch, A., & Trautwein, U. (2011). A 2 × 2 taxonomy of multilevel latent contextual models: Accuracy-bias trade-offs in full and partial error correction models. Psychological Methods, 16, 444–467.
  • 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.
  • MacKinnon, D. P. (2008). Introduction to statistical mediation analysis. Mahwah, NJ: Erlbaum.
  • Marsh, H. W., Lüdtke, O., Nagengast, B., Trautwein, U., Morin, A. J. S., Abduljabbar, A. S., & Köller, O. (2012). Classroom climate and contextual effects: Conceptual and methodological issues in the evaluation of group-level effects. Educational Psychologist, 47, 106–124.
  • Mehta, P. D., & Neale, M. C. (2005). People are variables too: Multilevel structural equation modeling. Psychological Methods, 10, 259–284.
  • Muthén, B. O. (1990). Mean and covariance structure analysis of hierarchical data ( UCLA Statistics Series, No. 62). Los Angeles, CA: University of California.
  • Muthén, B. O., & Asparouhov, T. (2008). 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.
  • Muthén, B. O., & Satorra, A. (1995). Complex sample data in structural equation modeling. Sociological Methodology, 25, 267–316.
  • Muthén, L. K., & Muthén, B. O. (1998 –2010). Mplus user’s guide (6th ed.). Los Angeles, CA: Muthén & Muthén.
  • Preacher, K. J., Rucker, D. D., & Hayes, A. F. (2007). Addressing moderated mediation hypotheses: Theory, methods, and prescriptions. Multivariate Behavioral Research, 42, 185–227.
  • Preacher, K. J., Zyphur, M. J., & Zhang, Z. (2010). A general multilevel SEM framework for assessing multilevel mediation. Psychological Methods, 15, 209–233.
  • Ryu, E. (2014). Factorial invariance in multilevel confirmatory factor analysis. British Journal of Mathematical and Statistical Psychology, 67, 172–194. doi:10.1111/bmsp.12014
  • Ryu, E., West, S. G., & Sousa, K. H. (2009). Mediation and moderation: Testing relationships between symptom status, functional health, and quality of life in HIV patients. Multivariate Behavioral Research, 44, 213–232.
  • Schüz, B., Wurm, S., Ziegelmann, J. P., Wolff, J. K., Warner, L. M., Schwarzer, R., & Tesch-Römer, C. (2012). Contextual and individual predictors of physical activity: Interactions between environmental factors and health cognitions. Health Psychology, 31, 714–723. doi:10.1037/a0027596
  • West, S. G., Ryu, E., Kwok, O., & Cham, H. (2011). Multilevel modeling: Current and future applications in personality research. Journal of Personality, 79, 2–50.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.