References
- Arnau, R. C., & Thompson, B. (2000). Second order confirmatory factor analysis of the WAIS- III. Assessment, 7, 237–246. https://doi.org/https://doi.org/10.1177/107319110000700304
- Bollen, K. A. (1989). Structural equations with latent variables. Wiley.
- Bradley, J. V. (1978). Robustness? British Journal of Mathematical and Statistical Psychology, 31, 144–152.
- Byrne, B. M., Shavelson, R. J., & Muthén, B. (1989). Testing for the equivalence of factor covariance and mean structures: The issue of partial measurement invariance. Psychological Bulletin, 105, 456–466. https://doi.org/https://doi.org/10.1037/0033-2909.105.3.456
- Byrne, B. M., & Stewart, S. M. (2006). Teacher’s corner: The MACS approach to testing for multigroup invariance of a second-order structure: A walk through the process. Structural Equation Modeling, 13, 287–321. https://doi.org/https://doi.org/10.1207/s15328007sem1302_7
- Byrne, B. M., Stewart, S. M., Kennard, B. D., & Lee, P. W. (2007). The Beck Depression Inventory-II: Testing for measurement equivalence and factor mean differences across Hong Kong and American adolescents. International Journal of Testing, 7, 293–309. https://doi.org/https://doi.org/10.1080/15305050701438058
- Chen, F. F., Sousa, K. H., & West, S. G. (2005). Teacher’s corner: Testing measurement invariance of second-order factor models. Structural Equation Modeling, 12, 471–492. https://doi.org/https://doi.org/10.1207/s15328007sem1203_7
- Chen, F. F., West, S. G., & Sousa, K. H. (2006). A comparison of bifactor and second-order models of quality of life. Multivariate Behavioral Research, 41, 189–225. https://doi.org/https://doi.org/10.1207/s15327906mbr4102_5
- Hancock, G. R., Lawrence, F. R., & Nevitt, 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. https://doi.org/https://doi.org/10.1207/S15328007SEM0704_2
- Hoogland, J. J., & Boomsma, A. (1998). Robustness studies in covariance structure modeling: An overview and meta-analysis. Sociological Methods & Research, 26, 329–367. https://doi.org/https://doi.org/10.1177/0049124198026003003
- Kaplan, D. (1988). The impact of specification error on the estimation, testing, and improvement of structural equation models. Multivariate Behavioral Research, 23, 69–86. https://doi.org/https://doi.org/10.1207/s15327906mbr2301_4
- Meredith, W. (1993). Measurement invariance, factor analysis and factorial invariance. Psychometrika, 58, 525–543. https://doi.org/https://doi.org/10.1007/BF02294825
- Millsap, R. E. (2011). Statistical approaches to measurement invariance. Routledge.
- Molenaar, D., Dolan, C. V., & Wicherts, J. M. (2009). The power to detect sex differences in IQ test scores using multi-group covariance and means structure analyses. Intelligence, 37, 396–404. https://doi.org/https://doi.org/10.1016/j.intell.2009.03.007
- Muthén, L. K., & Muthén, B. O. (2010). Mplus software (Version 6). Muthén & Muthén.
- Reise, S. P., Widaman, K. F., & Pugh, R. H. (1993). Confirmatory factor analysis and item response theory: Two approaches for exploring measurement invariance. Psychological Bulletin, 114, 552–566. https://doi.org/https://doi.org/10.1037/0033-2909.114.3.552
- Sörbom, D. (1974). A general method for studying differences in factor means and factor structure between groups. British Journal of Mathematical and Statistical Psychology, 27, 229–239. https://doi.org/https://doi.org/10.1111/j.2044-8317.1974.tb00543.x
- Steenkamp, J. B. E., & Baumgartner, H. (1998). Assessing measurement invariance in cross-national consumer research. Journal of Consumer Research, 25, 78–107. https://doi.org/https://doi.org/10.1086/209528
- Strasheim, A. (2011). Testing the invariance of second-order confirmatory factor analysis models that include means and intercepts. Management Dynamics: Journal of the Southern African Institute for Management Scientists, 20, 38–75. https://hdl.handle.net/10520/EJC119148
- Thompson, M. S., & Green, S. B. (2013). Evaluating between-group differences in latent variable means. In G. R. Hancock & R. O. Muller (Eds.), Structural Equation Modeling: A second course (2nd ed., pp. 163–218). Information Age Publishing, Inc.
- Vandenberg, R. J., & Lance, C. E. (2000). A review and synthesis of the measurement invariance literature: Suggestions, practices, and recommendations for organizational research. Organizational Research Methods, 3, 4–70. https://doi.org/https://doi.org/10.1177/109442810031002
- Yang, Y. (2008). Partial invariance in loadings and intercepts—Their interplays and implications for latent mean comparisons [Unpublished doctoral dissertation]. The University of Nebraska.
- Yoon, M., & Millsap, R. E. (2007). Detecting violations of factorial invariance using data-based specification searches: A Monte Carlo study. Structural Equation Modeling, 14, 435–463. https://doi.org/https://doi.org/10.1080/10705510701301677
- Yuan, K. H., & Bentler, P. M. (2004). On chi-square difference and z tests in mean and covariance structure analysis when the base model is misspecified. Educational and Psychological Measurement, 64, 737–757. https://doi.org/https://doi.org/10.1177/0013164404264853
- Yuan, K. H., Marshall, L. L., & Bentler, P. M. (2003). Assessing the effect of model misspecifications on parameter estimates in structural equation models. Sociological Methodology, 33, 241–265. https://doi.org/https://doi.org/10.1111/j.0081-1750.2003.00132.x