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

REFERENCES

• Bentler , P. M. 2009 . EQS structural equations program manual Encino , CA : Multivariate Software. .
   Google Scholar
• Bentler , P. M. and Yuan , K. 1999 . Structural equation modeling with small samples: Test statistics . Multivariate Behavioral Research , 34 : 181 – 197 .
   PubMed Web of Science ®Google Scholar
• 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 .
   PubMed Web of Science ®Google Scholar
• Bollen , K. 1989 . Structural equations with latent variables New York , NY : Wiley. .
   Google Scholar
• Bollen , K. and Lennox , R. 1991 . Conventional wisdom on measurement: A structural equation perspective . Psychological Bulletin , 110 : 305 – 314 .
   Web of Science ®Google Scholar
• Bradley , J. V. 1978 . Robustness? . British Journal of Mathematical and Statistical Psychology , 31 : 144 – 152 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Cohen , J. 1988 . Statistical power analysis for the behavioral sciences Hillsdale , NJ : Erlbaum. .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• DeShon , R. 2004 . Measures are not invariant across groups without error variance homogeneity . Psychological Science , 46 : 137 – 149 .
   Google Scholar
• 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. .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Hancock , G. R. 2003 . Fortune cookies, measurement error, and experimental design . Journal of Modern Applied Statistical Methods , 2 : 293 – 305 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Jöreskog , K. G. 1971 . Simultaneous factor analysis in several populations . Psychometrika , 36 : 409 – 426 .
   Web of Science ®Google Scholar
• Jöreskog , K. G. and Sörbom , D. 2009 . LISREL Chicago , IL : Scientific Software International. .
   Google Scholar
• 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. .
   Google Scholar
• 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 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Meredith , W. 1993 . Measurement invariance, factor analysis and factorial invariance . Psychometrika , 58 : 525 – 543 .
   Web of Science ®Google Scholar
• Muthén , L. K. and Muthén , B. O. 2010 . Mplus user's guide Los Angeles , CA : Muthén & Muthén. .
   Google Scholar
• Raykov , T. and Marcoulides , G. A. 2006 . A first course in structural equation modeling, , 2nd ed. Mahwah , NJ : Erlbaum. .
   Google Scholar
• 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 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar