메뉴 건너뛰기




Volumn 59, Issue 2, 2006, Pages 397-417

Standard errors in covariance structure models: Asymptotics versus bootstrap

Author keywords

[No Author keywords available]

Indexed keywords

ADOLESCENT; APTITUDE TEST; ARTICLE; CHILD; COMPUTER PROGRAM; EPIDEMIOLOGY; FEMALE; HUMAN; INFORMATION PROCESSING; MALE; MATHEMATICAL COMPUTING; MULTIVARIATE ANALYSIS; PSYCHOMETRY; STATISTICAL MODEL; STATISTICS;

EID: 33845339652     PISSN: 00071102     EISSN: None     Source Type: Journal    
DOI: 10.1348/000711005X85896     Document Type: Article
Times cited : (54)

References (51)
  • 1
    • 0000752804 scopus 로고
    • The asymptotic normal distribution of estimators in factor analysis under general conditions
    • Anderson, T. W., & Amemiya, Y. (1988). The asymptotic normal distribution of estimators in factor analysis under general conditions. Annals of Statistics, 16, 759-771.
    • (1988) Annals of Statistics , vol.16 , pp. 759-771
    • Anderson, T.W.1    Amemiya, Y.2
  • 2
    • 0001088801 scopus 로고
    • Pseudo maximum likelihood estimation and a test for misspecification in mean and covariance structure models
    • Arminger, G., & Schoenberg, R. (1989). Pseudo maximum likelihood estimation and a test for misspecification in mean and covariance structure models. Psychometrika, 54, 409-426.
    • (1989) Psychometrika , vol.54 , pp. 409-426
    • Arminger, G.1    Schoenberg, R.2
  • 3
    • 84948983617 scopus 로고
    • Pseudo-maximum likelihood estimation of mean and covariance structures with missing data
    • Arminger, G., & Sobel, M. E. (1990). Pseudo-maximum likelihood estimation of mean and covariance structures with missing data. Journal of the American Statistical Association, 85, 195-203.
    • (1990) Journal of the American Statistical Association , vol.85 , pp. 195-203
    • Arminger, G.1    Sobel, M.E.2
  • 4
    • 0000568746 scopus 로고
    • Some contributions to efficient statistics in structural models: Specification and estimation of moment structures
    • Bentler, P. M. (1983). Some contributions to efficient statistics in structural models: Specification and estimation of moment structures. Psychometrika, 48, 493-517.
    • (1983) Psychometrika , vol.48 , pp. 493-517
    • Bentler, P.M.1
  • 6
    • 0002022590 scopus 로고
    • Efficient estimation via linearization in structural models
    • P. R. Krishnaiah (Ed.), Amsterdam: North-Holland
    • Bentler, P. M., & Dijkstra, T. K. (1985). Efficient estimation via linearization in structural models. In P. R. Krishnaiah (Ed.), Multivariate analysts VI (pp. 9-42). Amsterdam: North-Holland.
    • (1985) Multivariate Analysts VI , pp. 9-42
    • Bentler, P.M.1    Dijkstra, T.K.2
  • 7
    • 0000045336 scopus 로고    scopus 로고
    • Covariance structure analysis: Statistical practice, theory, directions
    • Bentler, P. M., & Dudgeon, P. (1996). Covariance structure analysis: Statistical practice, theory, directions. Annual Review of Psychology, 47, 563-592.
    • (1996) Annual Review of Psychology , vol.47 , pp. 563-592
    • Bentler, P.M.1    Dudgeon, P.2
  • 8
    • 0002726349 scopus 로고
    • Bootstrap tests and confidence regions for functions of a covariance matrix
    • Beran, R., & Srivastava, M. S. (1985). Bootstrap tests and confidence regions for functions of a covariance matrix. Annals of Statistics, 13, 95-115.
    • (1985) Annals of Statistics , vol.13 , pp. 95-115
    • Beran, R.1    Srivastava, M.S.2
  • 9
    • 0000485156 scopus 로고
    • Some asymptotic theory for the bootstrap
    • Bickel, P. J., & Freedman, D. A. (1981). Some asymptotic theory for the bootstrap. Annals of Statistics, 9, 1196-1217.
    • (1981) Annals of Statistics , vol.9 , pp. 1196-1217
    • Bickel, P.J.1    Freedman, D.A.2
  • 10
    • 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
  • 11
    • 84935506926 scopus 로고
    • Direct and indirect effects: Classical and bootstrap estimates of variability
    • C. C. Clogg (Ed.), Oxford: Basil Blackwell
    • Bollen, K. A., & Stine, R. (1990). Direct and indirect effects: Classical and bootstrap estimates of variability. In C. C. Clogg (Ed.), Sociological methodology (pp. 115-140). Oxford: Basil Blackwell.
    • (1990) Sociological Methodology , pp. 115-140
    • Bollen, K.A.1    Stine, R.2
  • 12
    • 0001665606 scopus 로고
    • Bootstrapping goodness of fit measures in structural equation models
    • K. A. Bollen & J. S. Long (Eds.), Newbury Park, CA: Sage
    • Bollen, K. A., & Stine, R. (1993). Bootstrapping goodness of fit measures in structural equation models. In K. A. Bollen & J. S. Long (Eds.), Testing structural equation models (pp. 111-135). Newbury Park, CA: Sage.
    • (1993) Testing Structural Equation Models , pp. 111-135
    • Bollen, K.A.1    Stine, R.2
  • 13
    • 0041938193 scopus 로고
    • On the use of bootstrap and jackknife in covariance structure analysis
    • F. de Antoni, N. Lauro, & A. Rizzi (Eds.), Heidelberg: Physica-Verlag
    • Boomsma, A. (1986). On the use of bootstrap and jackknife in covariance structure analysis. In F. de Antoni, N. Lauro, & A. Rizzi (Eds.), Compstat 86 Proceedings in Computational Statistics (pp. 205-210). Heidelberg: Physica-Verlag.
    • (1986) Compstat 86 Proceedings in Computational Statistics , pp. 205-210
    • Boomsma, A.1
  • 14
    • 85004870441 scopus 로고
    • Asymptotic distribution-free methods for the analysis of covariance structures
    • Browne, M. W. (1984). Asymptotic distribution-free methods for the analysis of covariance structures. British Journal of Mathematical and Statistical Psychology, 37, 62-83.
    • (1984) British Journal of Mathematical and Statistical Psychology , vol.37 , pp. 62-83
    • Browne, M.W.1
  • 15
    • 0002421945 scopus 로고
    • Specification and estimation of mean and covariance structure models
    • G. Arminger, C. C. Clogg, & M. E. Sobel (Eds.), New York: Plenum
    • Browne, M. W., & Arminger, G. (1995). Specification and estimation of mean and covariance structure models. In G. Arminger, C. C. Clogg, & M. E. Sobel (Eds.), Handbook of statistical modeling for the social and behavioral sciences (pp. 185-249). New York: Plenum.
    • (1995) Handbook of Statistical Modeling for the Social and Behavioral Sciences , pp. 185-249
    • Browne, M.W.1    Arminger, G.2
  • 17
    • 85004766112 scopus 로고
    • Scaled test statistics and robust standard errors for nonnormal data in covariance structure analysis: A Monte Carlo study
    • Chou, C.-P., Bentler, P. M., & Satorra, A. (1991). Scaled test statistics and robust standard errors for nonnormal data in covariance structure analysis: A Monte Carlo study. British Journal of Mathematical and Statistical Psychology, 44, 347-357.
    • (1991) British Journal of Mathematical and Statistical Psychology , vol.44 , pp. 347-357
    • Chou, C.-P.1    Bentler, P.M.2    Satorra, A.3
  • 21
    • 0018115641 scopus 로고
    • The observed versus the expected information
    • Efron, B., & Hinkley, D. V. (1978). The observed versus the expected information. Biometrika, 65, 457-487.
    • (1978) Biometrika , vol.65 , pp. 457-487
    • Efron, B.1    Hinkley, D.V.2
  • 24
    • 0001300935 scopus 로고
    • Pseudo maximum likelihood methods: Theory
    • Gouriéroux, C., Monfort, A., & Trognon, A. (1984). Pseudo maximum likelihood methods: Theory. Econometrica, 52, 681-700.
    • (1984) Econometrica , vol.52 , pp. 681-700
    • Gouriéroux, C.1    Monfort, A.2    Trognon, A.3
  • 27
    • 21844525752 scopus 로고
    • Application of the bootstrap methods in factor analysis
    • Ichikawa, M., & Konishi, S. (1995). Application of the bootstrap methods in factor analysis. Psychometrika, 60, 77-93.
    • (1995) Psychometrika , vol.60 , pp. 77-93
    • Ichikawa, M.1    Konishi, S.2
  • 28
    • 34250481868 scopus 로고
    • A general approach to confirmatory maximum likelihood factor analysis
    • Jöreskog, K. G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34, 183-202.
    • (1969) Psychometrika , vol.34 , pp. 183-202
    • Jöreskog, K.G.1
  • 29
    • 0011523365 scopus 로고
    • Covariance structure analysis with heterogeneous kurtosis parameters
    • Kano, Y., Berkane, M., & Bentler, P. M. (1990). Covariance structure analysis with heterogeneous kurtosis parameters. Biometrika, 77, 575-585.
    • (1990) Biometrika , vol.77 , pp. 575-585
    • Kano, Y.1    Berkane, M.2    Bentler, P.M.3
  • 30
    • 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
  • 32
    • 0039759875 scopus 로고
    • Alternative test criteria in covariance structure analysis: A unified approach
    • Satorra, A. (1989). Alternative test criteria in covariance structure analysis: A unified approach. Psychometrika, 54, 131-151.
    • (1989) Psychometrika , vol.54 , pp. 131-151
    • Satorra, A.1
  • 33
    • 0007338750 scopus 로고
    • Robustness issues in structural equation modeling: A review of recent developments
    • Satorra, A. (1990). Robustness issues in structural equation modeling: A review of recent developments. Quality and Quantity, 24, 367-386.
    • (1990) Quality and Quantity , vol.24 , pp. 367-386
    • Satorra, A.1
  • 34
    • 0003217529 scopus 로고
    • Corrections to test statistics and standard errors in covariance structure analysis
    • A. von Eye & C. C. Clogg (Eds.), Newbury Park, CA: Sage
    • Satorra, A., & Bentler, P. M. (1994). Corrections to test statistics and standard errors in covariance structure analysis. In A. von Eye & C. C. Clogg (Eds.), Latent variables analysis: Applications for development research (pp. 399-419). Newbury Park, CA: Sage.
    • (1994) Latent Variables Analysis: Applications for Development Research , pp. 399-419
    • Satorra, A.1    Bentler, P.M.2
  • 35
    • 0010895452 scopus 로고
    • Asymptotic distribution theory in the analysis of covariance structures (a unified approach)
    • Shapiro, A. (1983). Asymptotic distribution theory in the analysis of covariance structures (a unified approach). South African Statistical Journal, 17, 33-81.
    • (1983) South African Statistical Journal , vol.17 , pp. 33-81
    • Shapiro, A.1
  • 37
    • 0000646447 scopus 로고
    • Likelihood ratio tests for model selection and nonnested hypotheses
    • Vuong, Q. H. (1989). Likelihood ratio tests for model selection and nonnested hypotheses. Econometrica, 57, 307-333.
    • (1989) Econometrica , vol.57 , pp. 307-333
    • Vuong, Q.H.1
  • 38
    • 0002644952 scopus 로고
    • Maximum likelihood estimation of misspecified models
    • White, H. (1982). Maximum likelihood estimation of misspecified models. Econometrica, 50, 1-25.
    • (1982) Econometrica , vol.50 , pp. 1-25
    • White, H.1
  • 39
    • 0031531563 scopus 로고    scopus 로고
    • Mean and covariance structure analysis: Theoretical and practical improvements
    • Yuan, K.-H., & Bentler, P. M. (1997a). Mean and covariance structure analysis: Theoretical and practical improvements. Journal of the American Statistical Association, 92, 767-774.
    • (1997) Journal of the American Statistical Association , vol.92 , pp. 767-774
    • Yuan, K.-H.1    Bentler, P.M.2
  • 43
    • 0033115516 scopus 로고    scopus 로고
    • On asymptotic distributions of normal theory MLE in covariance structure analysis under some nonnormal distributions
    • Yuan, K.-H., & Bentler, P. M. (1999b). On asymptotic distributions of normal theory MLE in covariance structure analysis under some nonnormal distributions. Statistics and Probability Letters, 42, 107-113.
    • (1999) Statistics and Probability Letters , vol.42 , pp. 107-113
    • Yuan, K.-H.1    Bentler, P.M.2
  • 44
    • 12344329387 scopus 로고    scopus 로고
    • Structural equation modeling with heavy tailed distributions
    • Yuan, K.-H., Bentler, P. M., & Chan, W. (2004). Structural equation modeling with heavy tailed distributions. Psychometrika, 69, 421-436.
    • (2004) Psychometrika , vol.69 , pp. 421-436
    • Yuan, K.-H.1    Bentler, P.M.2    Chan, W.3
  • 46
    • 0038795072 scopus 로고    scopus 로고
    • Bootstrap approach to inference and power analysis based on three test statistics for covariance structure models
    • Yuan, K.-H., & Hayashi, K. (2003). Bootstrap approach to inference and power analysis based on three test statistics for covariance structure models. British Journal of Mathematical and Statistical Psychology, 56, 93-110.
    • (2003) British Journal of Mathematical and Statistical Psychology , vol.56 , pp. 93-110
    • Yuan, K.-H.1    Hayashi, K.2
  • 47
    • 25444466118 scopus 로고    scopus 로고
    • A new measure of misfit for covariance structure models
    • Yuan, K.-H., & Marshall, L. L. (2004). A new measure of misfit for covariance structure models. Behaviormetrika, 31, 67-90.
    • (2004) Behaviormetrika , vol.31 , pp. 67-90
    • Yuan, K.-H.1    Marshall, L.L.2
  • 49
    • 0002258287 scopus 로고    scopus 로고
    • Bootstrapping techniques in analysis of mean and covariance structures
    • G. A. Marcoulides & R. E. Schumacker (Eds.), Hillsdale, NJ: Erlbaum
    • Yung, Y. F., & Bentler, P. M. (1996). Bootstrapping techniques in analysis of mean and covariance structures. In G. A. Marcoulides & R. E. Schumacker (Eds.), Advanced structural equation modeling: Techniques and issues (pp. 195-226). Hillsdale, NJ: Erlbaum.
    • (1996) Advanced Structural Equation Modeling: Techniques and Issues , pp. 195-226
    • Yung, Y.F.1    Bentler, P.M.2
  • 50
    • 0001097804 scopus 로고
    • Bootstrap critical values for testing homogeneity of covariance matrices
    • Zhang, J., & Boos, D. D. (1992). Bootstrap critical values for testing homogeneity of covariance matrices. Journal of the American Statistical Association, 87, 425-429.
    • (1992) Journal of the American Statistical Association , vol.87 , pp. 425-429
    • Zhang, J.1    Boos, D.D.2
  • 51
    • 0001616302 scopus 로고
    • Testing hypotheses about covariance matrices using bootstrap methods
    • Zhang, J., & Boos, D. D. (1993). Testing hypotheses about covariance matrices using bootstrap methods. Communication in Statistics - Theory and Method, 22, 723-739.
    • (1993) Communication in Statistics - Theory and Method , vol.22 , pp. 723-739
    • Zhang, J.1    Boos, D.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.