Testing structural equation models: The effect of kurtosis

Computational Statistics and Data Analysis

Volumn 55, Issue 7, 2011, Pages 2263-2275

  Foss, Tron ^a   Jreskog, Karl G ^a   Olsson, Ulf H ^a  

^a BI NORWEGIAN BUSINESS SCHOOL   (Norway)

Author keywords

ADF; Kurtosis; Mis specified; Scaling correction

Indexed keywords

ADF; CHI-SQUARE STATISTICS; KURTOSIS; MIS-SPECIFIED; NON-NORMAL DATA; SCALING CORRECTION; SECOND ORDER MOMENT; STRUCTURAL EQUATION MODELS;

MATHEMATICAL MODELS;

POPULATION STATISTICS;

EID: 79953672317     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2011.01.012     Document Type: Article

References (26)

1. T.W. Anderson An Introduction to Multivariate Statistical Analysis 2nd ed. 1984 Wiley New York
2. T.W. Andreassen, B. Lorentzen, and U. Olsson The impact of non-normality and estimation methods in SEM on satisfaction research in marketing Quality and Quantity 40 2006 39 58 (Pubitemid 43005826)
3. M.W. Browne Generalized least squares estimators in the analysis of covariance structures South African Statistical Journal 8 1974 1 24
4. M.W. Browne Asymptotically distribution-free methods for the analysis of covariance structures British Journal of Mathematical and Statistical Psychology 37 1984 62 83
5. M.W. Browne, and A. Shapiro Robustness of normal theory methods in the analysis of linear latent variate models British Journal of Mathematical and Statistical Psychology 37 1988 193 208
6. P.J. Curran, S.G. West, and J.F. Finch The robustness of test statistics to non-normality and specification error in confirmatory factor analysis Psychological Methods 1 1996 16 29 (Pubitemid 126421251)
7. A.I. Fleishman A method for simulating non-normal distributions Psychometrika 43 1978 521 532
8. S.L. Hershberger The growth of structural equation modeling Structural Equation Modeling 10 2003 35 46
9. L. Hu, P.M. Bentler, and Y. Kano Can test statistics in covariance structure analysis be trusted? Psychological Bulletin 112 1992 351 362
10. K.G. Jreskog A general approach to confirmatory maximum likelihood factor analysis Psychometrika 34 1969 183 202
11. K.G. Jreskog, and A.S. Goldberger Factor analysis by generalized least squares Psychometrika 37 1972 243 250
12. R.C. MacCallum, and L.R. Tucker Representing sources of error in the common factor model: implications for theory and practice Psychological Bulletin 109 1991 502 511
13. J.R. Magnus, and H. Neudecker Matrix Differential Calculus with Applications in Statistics and Econometrics 1999 Wliey New York
14. S. Mattson How to generate non-normal data for simulation of structural equation models Multivariate Behavioral Research 32 4 1997 355 373 (Pubitemid 127341624)
15. U.H. Olsson, T. Foss, and S.V. Troye Does the ADF fit function decrease when the kurtosis increases? British Journal of Mathematical and Statistical Psychology 56 2003 289 303 (Pubitemid 37434227)
16. J.S. Ramberg, R.P Tadikamalla, E.J. Dudewicz, and E.F. Mykytka A probability distribution and its use in fitting data Technometrics 21 1979 201 215
17. A. Satorra Alternative test criteria in covariance structure analysis: a unified approach Psychometrika 54 1989 131 151
18. A. Satorra Power of chi-square goodness-of-fit test in structural equation models: the case of non-normal data H. Yanai, A. Okada, K. Shigemasu, Y. Kano, J.J. Meulman, New Developments of Psychometrics 2003 Springer Verlag Tokyo 57 68
19. A. Satorra, and P.M. Bentler Scaling corrections for chi-square statistics in covariance structure analysis Proceedings of the Business and Economic Statistics Section of the American Statistical Association 1988 308 313
20. A. Satorra, and P.M. Bentler Correction to test statistics and standard errors in covariance structure analysis A. von Eye, C.C. Clogg, Latent Variable Analysis: Applications for Development Research 1994 Sage Thousand Oaks, CA 399 419
21. A.J. Swain A class of factor analysis estimation procedures with common asymptotic sampling properties Psychometrika 40 3 1975 315 335
22. L.R. Tucker, R.F. Koopman, and R.L. Linn Evaluation of factor analytic research procedures by means of simulated correlation matrices Psychometrika 34 1969 421 459
23. C.D. Vale, and V.A. Maurelli Simulating non-normal distributions Psychometrika 48 1983 465 471
24. Abraham Wald Test of statistical hypotheses concerning several parameters when the number of observation is large Transaction of the American Mathematical Society 54 3 1943 426 482
25. K.-H. Yuan, and P.M. Bentler Normal theory based test statistics in structural equation modeling British Journal of Mathematical and Statistical Psychology 51 1998 289 309 (Pubitemid 128445048)
26. K.-H. Yuan, and P.M. Bentler On normal theory and associated test statistics in covariance structure analysis under two classes of nonnormal distributions Statistica Sinica 9 1999 831 853