A scaled difference chi-square test statistic for moment structure analysis

A Scaled Di erence Chi-square Test Statistic for Moment Structure Analysis Albert Satorra Universitat Pompeu Fabra and Peter M. Bentler University of California, Los Angeles August 3, 1999 Research supported by the Spanish DGES grant PB96-0300, and USPHS grants DA00017 and DA01070.

[1]  M. Browne.  Asymptotically distribution-free methods for the analysis of covariance structures. , 1984, The British journal of mathematical and statistical psychology.

[2]  M. Kupperman.  Linear Statistical Inference and Its Applications 2nd Edition (C. Radhakrishna Rao) , 1975 .

[3]  Karl G. Jöreskog,et al.  Lisrel 8: User's Reference Guide , 1997 .

[4]  Yutaka Kano,et al.  Robust statistics for test-of-independence and related structural models , 1992 .

[5]  Calyampudi R. Rao,et al.  Linear statistical inference and its applications , 1965 .

[6]  J. Magnus,et al.  Matrix Differential Calculus with Applications in Statistics and Econometrics , 1991 .

[7]  R. P. McDonald,et al.  Structural Equations with Latent Variables , 1989 .

[8]  Albert Satorra,et al.  Asymptotic robust inferences in the analysis of mean and covariance structures , 1992 .

[9]  A. Satorra,et al.  Scaled test statistics and robust standard errors for non-normal data in covariance structure analysis: a Monte Carlo study. , 1991, The British journal of mathematical and statistical psychology.

[10]  Peter M. Bentler,et al.  EQS : structural equations program manual , 1989 .

[11]  P M Bentler,et al.  Normal theory based test statistics in structural equation modelling. , 1998, The British journal of mathematical and statistical psychology.

[12]  Ke-Hai Yuan,et al.  Mean and Covariance Structure Analysis: Theoretical and Practical Improvements , 1997 .

[13]  Wayne A. Fuller,et al.  Measurement Error Models , 1988 .

[14]  P. Bentler,et al.  Covariance structure analysis: statistical practice, theory, and directions. , 1996, Annual review of psychology.

[15]  J. Magnus,et al.  Matrix Differential Calculus with Applications in Statistics and Econometrics (Revised Edition) , 1999 .

[16]  Barbara M. Byrne,et al.  Cross-Cultural Comparisons and the Presumption of Equivalent Measurement and Theoretical Structure , 1999 .

[17]  A. Satorra.  Alternative test criteria in covariance structure analysis: A unified approach , 1989 .

[18]  Albert Satorra,et al.  Scaled and Adjusted Restricted Tests in Multi Sample Analysis of Moment Structures , 1999 .

[19]  K. Yuan,et al.  Structural Equation Modeling with Small Samples: Test Statistics. , 1999, Multivariate behavioral research.

[20]  A. Satorra,et al.  Corrections to test statistics and standard errors in covariance structure analysis. , 1994 .

[21]  Y Kano,et al.  Can test statistics in covariance structure analysis be trusted? , 1992, Psychological bulletin.

[22]  S. West,et al.  The robustness of test statistics to nonnormality and specification error in confirmatory factor analysis. , 1996 .

[23]  Peter M. Bentler,et al.  Scaling Corrections for Statistics in Covariance Structure Analysis , 1988 .