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Volumn 43, Issue 4, 2011, Pages 1066-1074

Effects of skewness and kurtosis on normal-theory based maximum likelihood test statistic in multilevel structural equation modeling

Author keywords

Maximum likelihood test statistic; Multilevel structural equation modeling; Violation of multivariate normality

Indexed keywords

ARTICLE; COMPUTER SIMULATION; PROBABILITY; STATISTICAL ANALYSIS; STATISTICAL MODEL;

EID: 81255138263     PISSN: 1554351X     EISSN: 15543528     Source Type: Journal    
DOI: 10.3758/s13428-011-0115-7     Document Type: Article
Times cited : (146)

References (31)
  • 1
    • 67650886343 scopus 로고
    • Multivariate analysis with latent variables: Causal modeling
    • Bentler, P. M. (1980). Multivariate analysis with latent variables: Causal modeling. Annual Review of Psychology, 31, 419-456.
    • (1980) Annual Review of Psychology , vol.31 , pp. 419-456
    • Bentler, P.M.1
  • 2
    • 0002541007 scopus 로고    scopus 로고
    • Two-level mean and covariance structures: Maximum likelihood via EM algorithm
    • S. P. Reise and N. Duan (Eds.), Mahwah: Erlbaum
    • Bentler, P. M., & Liang, J. (2003). Two-level mean and covariance structures: Maximum likelihood via EM algorithm. In S. P. Reise & N. Duan (Eds.), Multilevel modeling: Methodological advances, issues and applications (pp. 53-70). Mahwah: Erlbaum.
    • (2003) Multilevel Modeling: Methodological Advances, Issues and Applications , pp. 53-70
    • Bentler, P.M.1    Liang, J.2
  • 4
    • 0036408331 scopus 로고    scopus 로고
    • Latent variables in psychology and the social sciences
    • Bollen, K. A. (2002). Latent variables in psychology and the social sciences. Annual Review of Psychology, 53, 605-634.
    • (2002) Annual Review of Psychology , vol.53 , pp. 605-634
    • Bollen, K.A.1
  • 5
    • 0011703342 scopus 로고    scopus 로고
    • The robustness of LISREL modeling revisited
    • R. Cudeck, S. ToitDu, D. Sörbom (Eds.), Lincolnwood, IL: Scientific Software International
    • Boomsma, A., & Hoogland, J. J. (2001). The robustness of LISREL modeling revisited. In R. Cudeck, S. Du Toit, & D. Sörbom (Eds.), Structural equation models: present and future. (pp. 139-168). Lincolnwood, IL: Scientific Software International.
    • (2001) Structural Equation Models: Present and Future , pp. 139-168
    • Boomsma, A.1    Hoogland, J.J.2
  • 6
    • 0011098706 scopus 로고
    • Generating multivariate data from nonnormal distributions: Mihal and Barrett revisited
    • Bradley, D. R., & Fleisher, C. L. (1994). Generating multivariate data from nonnormal distributions: Mihal and Barrett revisited. Behavior Research Methods, Instruments, & Computers, 26, 156-166.
    • (1994) Behavior Research Methods, Instruments, & Computers , vol.26 , pp. 156-166
    • Bradley, D.R.1    Fleisher, C.L.2
  • 7
    • 0001922927 scopus 로고    scopus 로고
    • The robustness of test statistics to nonnormality and specification error in confirmatory factor analysis
    • Curran, P. J., West, S. G., & Finch, J. F. (1996). The robustness of test statistics to nonnormality and specification error in confirmatory factor analysis. Psychological Methods, 1, 16-29.
    • (1996) Psychological Methods , vol.1 , pp. 16-29
    • Curran, P.J.1    West, S.G.2    Finch, J.F.3
  • 9
    • 0001521368 scopus 로고    scopus 로고
    • On the meaning and use of kurtosis
    • DeCarlo, L. T. (1997). On the meaning and use of kurtosis. Psychological Methods, 2, 292-307.
    • (1997) Psychological Methods , vol.2 , pp. 292-307
    • Decarlo, L.T.1
  • 10
    • 0000429066 scopus 로고
    • A general model for the analysis of multilevel data
    • Goldstein, H., & McDonald, R. P. (1988). A general model for the analysis of multilevel data. Psychometrika, 53, 455-467.
    • (1988) Psychometrika , vol.53 , pp. 455-467
    • Goldstein, H.1    McDonald, R.P.2
  • 12
    • 0001571057 scopus 로고
    • Structural analysis of covariance and correlation matrices
    • Jöreskog, K. G. (1978). Structural analysis of covariance and correlation matrices. Psychometrika, 43, 446-473.
    • (1978) Psychometrika , vol.43 , pp. 446-473
    • Jöreskog, K.G.1
  • 13
    • 0000564847 scopus 로고
    • Multilevel analysis of structural equation models
    • Lee, S.-Y. (1990). Multilevel analysis of structural equation models. Biometrika, 77, 763-772.
    • (1990) Biometrika , vol.77 , pp. 763-772
    • Lee, S.-Y.1
  • 14
    • 7244238417 scopus 로고    scopus 로고
    • An EM algorithm for fitting two-level structural equation models
    • Liang, J., & Bentler, P. M. (2004). An EM algorithm for fitting two-level structural equation models. Psychometrika, 69, 101-122.
    • (2004) Psychometrika , vol.69 , pp. 101-122
    • Liang, J.1    Bentler, P.M.2
  • 15
    • 21144481043 scopus 로고
    • Factor analysis for clustered observations
    • Longford, N. T., & Muthén, B. O. (1992). Factor analysis for clustered observations. Psychometrika, 57, 581-597.
    • (1992) Psychometrika , vol.57 , pp. 581-597
    • Longford, N.T.1    Muthén, B.O.2
  • 16
    • 0033658169 scopus 로고    scopus 로고
    • Applications of structural equation modeling in psychological research
    • MacCallum, R. C., & Austin, J. T. (2000). Applications of structural equation modeling in psychological research. Annual Review of Psychology, 51, 201-226.
    • (2000) Annual Review of Psychology , vol.51 , pp. 201-226
    • Maccallum, R.C.1    Austin, J.T.2
  • 18
    • 84965569319 scopus 로고
    • Multilevel covariance structure analysis
    • Muthén, B. O. (1994). Multilevel covariance structure analysis. Sociological Methods & Research, 22, 376-398.
    • (1994) Sociological Methods & Research , vol.22 , pp. 376-398
    • Muthén, B.O.1
  • 19
    • 84886337777 scopus 로고
    • Complex sample data in structural equation modeling
    • Muthén, B. O., & Satorra, A. (1995). Complex sample data in structural equation modeling. Sociological Methodology, 25, 267-316.
    • (1995) Sociological Methodology , vol.25 , pp. 267-316
    • Muthén, B.O.1    Satorra, A.2
  • 21
    • 0036056570 scopus 로고    scopus 로고
    • Generating non-normal data for simulation of structural equation models using Mattson's method
    • Reinartz, W. J., Echambadi, R., & Chin, W. W. (2002). Generating non-normal data for simulation of structural equation models using Mattson's method. Multivariate Behavioral Research, 37, 227-244.
    • (2002) Multivariate Behavioral Research , vol.37 , pp. 227-244
    • Reinartz, W.J.1    Echambadi, R.2    Chin, W.W.3
  • 22
    • 77956831890 scopus 로고    scopus 로고
    • Level-specific evaluation of model fit in multilevel structural equation modeling
    • Ryu, E., & West, S. G. (2009). Level-specific evaluation of model fit in multilevel structural equation modeling. Structural Equation Modeling, 16, 583-601.
    • (2009) Structural Equation Modeling , vol.16 , pp. 583-601
    • Ryu, E.1    West, S.G.2
  • 25
    • 0014254846 scopus 로고
    • Probability plotting methods for the analysis of data
    • Wilk, M. B., & Gnanadesikan, R. (1968). Probability plotting methods for the analysis of data. Biometrika, 55, 1-17.
    • (1968) Biometrika , vol.55 , pp. 1-17
    • Wilk, M.B.1    Gnanadesikan, R.2
  • 26
    • 79953683721 scopus 로고    scopus 로고
    • Problematic standard errors and confidence intervals for skewness and kurtosis
    • Wright, D. B., & Herrington, J. A. (2011). Problematic standard errors and confidence intervals for skewness and kurtosis. Behavioral Research Methods, 43, 8-17.
    • (2011) Behavioral Research Methods , vol.43 , pp. 8-17
    • Wright, D.B.1    Herrington, J.A.2
  • 27
    • 0037004494 scopus 로고    scopus 로고
    • On normal theory based inference for multilevel models with distributional violations
    • Yuan, K.-H., & Bentler, P. M. (2002). On normal theory based inference for multilevel models with distributional violations. Psychometrika, 67, 539-562.
    • (2002) Psychometrika , vol.67 , pp. 539-562
    • Yuan, K.-H.1    Bentler, P.M.2
  • 28
    • 0141924118 scopus 로고    scopus 로고
    • Eight test statistics for multilevel structural equation models
    • Yuan, K.-H., & Bentler, P. M. (2003). Eight test statistics for multilevel structural equation models. Computational Statistics & Data Analysis, 44, 89-107.
    • (2003) Computational Statistics & Data Analysis , vol.44 , pp. 89-107
    • Yuan, K.-H.1    Bentler, P.M.2
  • 29
    • 33645885361 scopus 로고    scopus 로고
    • Asymptotic robustness of standard errors in multilevel structural equation models
    • Yuan, K.-H., & Bentler, P. M. (2006). Asymptotic robustness of standard errors in multilevel structural equation models. Journal of Multivariate Analysis, 97, 1121-1141.
    • (2006) Journal of Multivariate Analysis , vol.97 , pp. 1121-1141
    • Yuan, K.-H.1    Bentler, P.M.2
  • 30
    • 34548794766 scopus 로고    scopus 로고
    • Multilevel covariance structure analysis by fitting multiple single-level models
    • Yuan, K.-H., & Bentler, P. M. (2007). Multilevel covariance structure analysis by fitting multiple single-level models. Sociological Methodology, 37, 53-82.
    • (2007) Sociological Methodology , vol.37 , pp. 53-82
    • Yuan, K.-H.1    Bentler, P.M.2
  • 31
    • 27744517409 scopus 로고    scopus 로고
    • The effect of skewness and kurtosis on mean and covariance structure analysis: The univariate case and its multivariate implication
    • Yuan, K.-H., Bentler, P. M., & Zhang, W. (2005). The effect of skewness and kurtosis on mean and covariance structure analysis: The univariate case and its multivariate implication. Sociological Methods & Research, 34, 240-258.
    • (2005) Sociological Methods & Research , vol.34 , pp. 240-258
    • Yuan, K.-H.1    Bentler, P.M.2    Zhang, W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.