Testing for Two-Way Interactions in the Multigroup Common Factor Model

Structural Equation Modeling

Volumn 20, Issue 1, 2013, Pages 98-107

  van Smeden, Maarten ^a   Hessen, David J ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

factor model; MANOVA; multigroup model; two way interaction

Indexed keywords

COMMON FACTOR MODEL; FACTOR MODEL; LIKELIHOOD RATIO TESTS; MANOVA; MULTI-GROUP; MULTIVARIATE ANALYSIS OF VARIANCES; SIMULATION STUDIES; TWO-WAY INTERACTION;

COMPUTER SIMULATION;

EQUIVALENCE CLASSES;

EID: 84873379580     PISSN: 10705511     EISSN: None     Source Type: Journal    
DOI: 10.1080/10705511.2013.742390     Document Type: Article

References (26)

1. Bentler, P. M. 2009. EQS structural equations program manual Encino, CA: Multivariate Software.
2. Bentler, P. M. and Yuan, K. 1999. Structural equation modeling with small samples: Test statistics. Multivariate Behavioral Research, 34: 181-197.
3. Boker, S., Neale, M., Maes, H., Wilde, M., Spiegel, M., Brick, T., Spies, J., Estabrook, R., Kenny, S., Bates, T., Mehta, P. and Fox, J. 2011. OpenMx: An open source extended structural equation modeling framework. Psychometrika, 76: 306-317.
4. Bollen, K. 1989. Structural equations with latent variables New York, NY: Wiley.
5. Bollen, K. and Lennox, R. 1991. Conventional wisdom on measurement: A structural equation perspective. Psychological Bulletin, 110: 305-314.
6. Bradley, J. V. 1978. Robustness?. British Journal of Mathematical and Statistical Psychology, 31: 144-152.
7. Byrne, B., Shavelson, R. and Muthen, B. 1989. Testing for the equivalence of covariance and mean structures: The issue of partial measurement invariance. Psychological Bulletin, 105: 456-466.
8. Cohen, J. 1988. Statistical power analysis for the behavioral sciences Hillsdale, NJ: Erlbaum.
9. Cole, D. A., Maxwell, S. E., Arvey, R. and Salas, E. 1993. Multivariate group comparisons of variable systems: MANOVA and structural equation modeling. Psychological Bulletin, 114: 174-184.
10. DeShon, R. 2004. Measures are not invariant across groups without error variance homogeneity. Psychological Science, 46: 137-149.
11. Enders, C. 2006. "Analyzing structural equation models with missing data.". In Structural equation modeling: A second course Edited by: Hancock, G. R. and Mueller, R. 313-342. Boston, MA: Information Age.
12. Hakstian, A., Roed, J. and Lind, J. 1979. Two-sample t-2 procedure and the assumption of homogeneous covariance matrices. Psychological Bulletin, 86: 1255-1263.
13. Hancock, G. R. 2003. Fortune cookies, measurement error, and experimental design. Journal of Modern Applied Statistical Methods, 2: 293-305.
14. Hancock, G. R., Lawrence, F. R. and Nevit, J. 2000. Type I error and power of latent mean methods and MANOVA in factorially invariant and noninvariant latent variable systems. Structural Equation Modeling, 7: 534-556.
15. Hessen, D. J., Dolan, C. V. and Wicherts, J. M. 2006. The multigroup common factor model with minimal uniqueness constraints and the power to detect uniform bias. Applied Psychological Measurement, 30: 233-246.
16. Jöreskog, K. G. 1971. Simultaneous factor analysis in several populations. Psychometrika, 36: 409-426.
17. Jöreskog, K. G. and Sörbom, D. 2009. LISREL Chicago, IL: Scientific Software International.
18. Kano, Y. 2001. "Structural equation modeling for experimental data.". In Structural equation modeling: Present and future. Festschrift in honor of Karl Jöreskog Edited by: Cudeck, R., du Toit, S. and Sörbom, D. 381-402. Lincoln, IL: Scientific Software International.
19. Klein, A. and Moosbrugger, H. 2000. Quasi-maximum likelihood estimation of structural equation models with multiple interaction and quadratic effects. Multivariate Behavioral Research, 42: 647-674.
20. Lubke, G. H., Dolan, C. V., Kelderman, H. and Mellenbergh, G. J. 2003. On the relationship between sources of within- and between-group differences and measurement invariance in the common factor model. Intelligence, 31: 543-566.
21. Meredith, W. 1993. Measurement invariance, factor analysis and factorial invariance. Psychometrika, 58: 525-543.
22. Muthén, L. K. and Muthén, B. O. 2010. Mplus user's guide Los Angeles, CA: Muthén & Muthén.
23. Raykov, T. and Marcoulides, G. A. 2006. A first course in structural equation modeling, 2nd ed. Mahwah, NJ: Erlbaum.
24. Sörbom, D. 1979. A general method for studying differences in factor means and factor structure between groups. Advances in Factor Analysis and Structural Equation Models, 27: 207-217.
25. Vandenberg, R. and Lance, C. 2000. A review and synthesis of the measurement invariance literature: Suggestions, practices, and recommendations for organizational research. Organizational Research Methods, 3: 4-69.
26. Wen, Z., Marsh, H. W. and Hau, K. 2010. Structural equation models of latent interactions: An appropriate standardized solution and its scale-free properties. Structural Equation Modeling, 17: 1-22.