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Volumn 42, Issue 2, 2007, Pages 261-281

A class of population covariance matrices in the bootstrap approach to covariance structure analysis

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EID: 34547435668     PISSN: 00273171     EISSN: None     Source Type: Journal    
DOI: 10.1080/00273170701360662     Document Type: Article
Times cited : (18)

References (60)
  • 1
    • 0001406706 scopus 로고
    • Asymptotic chi-square tests for a large class of factor analysis models
    • Amemiya, Y., & Anderson, T. W. (1990). Asymptotic chi-square tests for a large class of factor analysis models. Annals of Statistics, 18, 1453-1463.
    • (1990) Annals of Statistics , vol.18 , pp. 1453-1463
    • Amemiya, Y.1    Anderson, T.W.2
  • 2
    • 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
  • 4
    • 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 analysis VI (pp. 9-42). Amsterdam: North-Holland.
    • (1985) Multivariate analysis VI , pp. 9-42
    • Bentler, P.M.1    Dijkstra, T.K.2
  • 5
    • 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
  • 6
    • 0033416774 scopus 로고    scopus 로고
    • Structural equation modeling with small samples: Test statistics
    • Bentler, P. M., & Yuan, K.-H. (1999). Structural equation modeling with small samples: Test statistics. Multivariate Behavioral Research, 34, 181-197.
    • (1999) Multivariate Behavioral Research , vol.34 , pp. 181-197
    • Bentler, P.M.1    Yuan, K.-H.2
  • 7
    • 0001442091 scopus 로고
    • Simulated power functions
    • Beran, R. (1986). Simulated power functions. Annals of Statistics, 14, 151-173.
    • (1986) Annals of Statistics , vol.14 , pp. 151-173
    • Beran, R.1
  • 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
    • 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
  • 10
    • 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 1990 (pp. 115-140). Oxford: Basil Blackwell.
    • (1990) Sociological methodology 1990 , pp. 115-140
    • Bollen, K.A.1    Stine, R.2
  • 11
    • 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
  • 12
    • 0041938193 scopus 로고
    • On the use of bootstrap and jackknife in covariance structure analysis
    • Boomsma, A. (1986). On the use of bootstrap and jackknife in covariance structure analysis. Compstat 1986, 205-210.
    • (1986) Compstat 1986 , pp. 205-210
    • Boomsma, A.1
  • 13
    • 0002490751 scopus 로고
    • Covariance structure analysis
    • D. M. Hawkins Ed, Cambridge: Cambridge University Press
    • Browne, M. W. (1982). Covariance structure analysis. In D. M. Hawkins (Ed.), Topics in applied multivariate analysis (pp. 72-141). Cambridge: Cambridge University Press.
    • (1982) Topics in applied multivariate analysis , pp. 72-141
    • Browne, M.W.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
  • 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
  • 18
    • 21144461005 scopus 로고
    • Constructing a covariance matrix that yields a specified minimizer and a specified minimum discrepancy function value
    • Cudeck, R., & Browne, M. W. (1992). Constructing a covariance matrix that yields a specified minimizer and a specified minimum discrepancy function value. Psychometrika, 57, 357-369.
    • (1992) Psychometrika , vol.57 , pp. 357-369
    • Cudeck, R.1    Browne, M.W.2
  • 19
    • 0001922927 scopus 로고    scopus 로고
    • The robustness of test statistics to nonnormality and specification error in confirmatory factor analysis
    • Curran, P. S., 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.S.1    West, S.G.2    Finch, J.F.3
  • 21
    • 0002344794 scopus 로고
    • Bootstrap methods: Another look at the jackknife
    • Efron, B. (1979). Bootstrap methods: Another look at the jackknife. Annals of Statistics, 7, 1-26.
    • (1979) Annals of Statistics , vol.7 , pp. 1-26
    • Efron, B.1
  • 22
    • 0002256959 scopus 로고
    • Multivariate empirical Bayes and estimation of covariance matrices
    • Efron, B., & Morris, C. (1976). Multivariate empirical Bayes and estimation of covariance matrices. Annals of Statistics, 4, 22-32.
    • (1976) Annals of Statistics , vol.4 , pp. 22-32
    • Efron, B.1    Morris, C.2
  • 24
    • 0036400704 scopus 로고    scopus 로고
    • Applying the Bollen-Stine bootstrap for goodness-of-fit measures to structural equation models with missing data
    • Enders, C. K. (2002). Applying the Bollen-Stine bootstrap for goodness-of-fit measures to structural equation models with missing data. Multivariate Behavioral Research, 37, 359-377.
    • (2002) Multivariate Behavioral Research , vol.37 , pp. 359-377
    • Enders, C.K.1
  • 25
    • 0010033533 scopus 로고    scopus 로고
    • Performance of modified test statistics in covariance and correlation structure analysis under conditions of multivariate nonnormality
    • Fouladi, R. T. (2000). Performance of modified test statistics in covariance and correlation structure analysis under conditions of multivariate nonnormality. Structural Equation Modeling, 7, 356-410.
    • (2000) Structural Equation Modeling , vol.7 , pp. 356-410
    • Fouladi, R.T.1
  • 26
    • 0000406169 scopus 로고
    • Empirical Bayes estimation of the multivariate normal covariance matrix
    • Haff, L. R. (1980). Empirical Bayes estimation of the multivariate normal covariance matrix. Annals of Statistics, 8, 586-597.
    • (1980) Annals of Statistics , vol.8 , pp. 586-597
    • Haff, L.R.1
  • 27
  • 28
    • 0036445656 scopus 로고    scopus 로고
    • Bias-corrected estimator of factor loadings in Bayesian factor analysis
    • Hayashi, K., & Sen, P. K. (2002). Bias-corrected estimator of factor loadings in Bayesian factor analysis. Educational and Psychological Measurement, 62, 944-959.
    • (2002) Educational and Psychological Measurement , vol.62 , pp. 944-959
    • Hayashi, K.1    Sen, P.K.2
  • 29
    • 85039233156 scopus 로고    scopus 로고
    • Holzinger, K. J., & Swineford, F. (1939). A study in factor analysis: The stability of a bi-factor solution. University of Chicago: Supplementary Educational Monographs, No. 48.
    • Holzinger, K. J., & Swineford, F. (1939). A study in factor analysis: The stability of a bi-factor solution. University of Chicago: Supplementary Educational Monographs, No. 48.
  • 30
    • 67650706330 scopus 로고    scopus 로고
    • Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives
    • Hu, L., & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling, 6, 1-55.
    • (1999) Structural Equation Modeling , vol.6 , pp. 1-55
    • Hu, L.1    Bentler, P.M.2
  • 31
    • 0026919385 scopus 로고
    • Can test statistics in covariance structure analysis be trusted?
    • Hu, L., Bentler, P. M., & Kano, Y. (1992). Can test statistics in covariance structure analysis be trusted? Psychological Bulletin, 112, 351-362.
    • (1992) Psychological Bulletin , vol.112 , pp. 351-362
    • Hu, L.1    Bentler, P.M.2    Kano, Y.3
  • 32
    • 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
  • 34
    • 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
  • 35
    • 0346961488 scopus 로고    scopus 로고
    • A well-conditioned estimator for large-dimensional covariance matrices
    • Ledoit, O., & Wolf, M. (2004). A well-conditioned estimator for large-dimensional covariance matrices. Journal of Multivariate Analysis, 88, 365-411.
    • (2004) Journal of Multivariate Analysis , vol.88 , pp. 365-411
    • Ledoit, O.1    Wolf, M.2
  • 36
    • 0041170190 scopus 로고
    • The analysis of structural equation models by means of derivative free nonlinear least squares
    • Lee, S.-Y., & Jennrich, R. I. (1984). The analysis of structural equation models by means of derivative free nonlinear least squares. Psychometrika, 49, 521-528.
    • (1984) Psychometrika , vol.49 , pp. 521-528
    • Lee, S.-Y.1    Jennrich, R.I.2
  • 37
    • 0345983475 scopus 로고    scopus 로고
    • Bootstrapping correlation coefficients using univariate and bivariate sampling
    • Lee, W., & Rodgers, J. L. (1998). Bootstrapping correlation coefficients using univariate and bivariate sampling. Psychological Methods, 3, 91-103.
    • (1998) Psychological Methods , vol.3 , pp. 91-103
    • Lee, W.1    Rodgers, J.L.2
  • 38
    • 0013118140 scopus 로고    scopus 로고
    • Power analysis and determination of sample size for covariance structure modeling
    • MacCallum, R. C., Browne, M. W., & Sugawara, H. M. (1996). Power analysis and determination of sample size for covariance structure modeling. Psychological Methods, 1, 130-149.
    • (1996) Psychological Methods , vol.1 , pp. 130-149
    • MacCallum, R.C.1    Browne, M.W.2    Sugawara, H.M.3
  • 39
    • 0033658169 scopus 로고    scopus 로고
    • Applications of structural equation modeling in psycho-logical research
    • MacCallum, R. C., & Austin, J. T. (2000). Applications of structural equation modeling in psycho-logical 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
  • 41
    • 85004907578 scopus 로고
    • A comparison of some methodologies for the factor analysis of non-normal Likert variables
    • Muthén, B., & Kaplan, D. (1985). A comparison of some methodologies for the factor analysis of non-normal Likert variables. British Journal of Mathematical and Statistical Psychology, 38, 171-189.
    • (1985) British Journal of Mathematical and Statistical Psychology , vol.38 , pp. 171-189
    • Muthén, B.1    Kaplan, D.2
  • 42
    • 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
  • 43
    • 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 developmental research (pp. 399-419). Newbury Park, CA: Sage.
    • (1994) Latent variables analysis: Applications for developmental research , pp. 399-419
    • Satorra, A.1    Bentler, P.M.2
  • 44
    • 0002813537 scopus 로고
    • Power of the likelihood ratio test in covariance structure analysis
    • Satorra, A., & Saris, W. E. (1985). Power of the likelihood ratio test in covariance structure analysis. Psychometrika, 50, 83-90.
    • (1985) Psychometrika , vol.50 , pp. 83-90
    • Satorra, A.1    Saris, W.E.2
  • 45
    • 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
  • 46
    • 0012798855 scopus 로고
    • Asymptotic equivalence of minimum discrepancy function estimators to GLS estimators
    • Shapiro, A. (1985). Asymptotic equivalence of minimum discrepancy function estimators to GLS estimators. South African Statistical Journal, 19, 73-81.
    • (1985) South African Statistical Journal , vol.19 , pp. 73-81
    • Shapiro, A.1
  • 48
    • 38249028576 scopus 로고
    • On the asymptotic bias of estimators under parameter drift
    • Shapiro, A., & Browne, M. W. (1988). On the asymptotic bias of estimators under parameter drift. Statistics & Probability Letters, 7, 221-224.
    • (1988) Statistics & Probability Letters , vol.7 , pp. 221-224
    • Shapiro, A.1    Browne, M.W.2
  • 49
    • 0003616491 scopus 로고
    • Statistically based tests for the number of common factors
    • Paper presented at the, Iowa City, IA
    • Steiger, J. H., & Lind, J. M. (1980). Statistically based tests for the number of common factors. Paper presented at the annual meeting of the Psychometric Society. Iowa City, IA.
    • (1980) annual meeting of the Psychometric Society
    • Steiger, J.H.1    Lind, J.M.2
  • 50
    • 2442447448 scopus 로고
    • On the multivariate asymptotic distribution of sequential chi-square statistics
    • Steiger, J. H., Shapiro, A., & Browne, M. W. (1985). On the multivariate asymptotic distribution of sequential chi-square statistics. Psychometrika, 50, 253-264.
    • (1985) Psychometrika , vol.50 , pp. 253-264
    • Steiger, J.H.1    Shapiro, A.2    Browne, M.W.3
  • 51
    • 25444473930 scopus 로고    scopus 로고
    • Fit indices versus test statistics
    • Yuan, K.-H. (2005). Fit indices versus test statistics. Multivariate Behavioral Research, 40, 115-148.
    • (2005) Multivariate Behavioral Research , vol.40 , pp. 115-148
    • Yuan, K.-H.1
  • 52
    • 0031531563 scopus 로고    scopus 로고
    • Mean and covariance structure analysis: Theoretical and practical improvements
    • Yuan, K.-H., & Bentler, P. M. (1997). 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
  • 55
    • 0033418689 scopus 로고    scopus 로고
    • On normal theory and associated test statistics in covariance structure analysis under two classes of nonnormal distributions
    • Yuan, K.-H., & Bender, P. M. (1999b). On normal theory and associated test statistics in covariance structure analysis under two classes of nonnormal distributions. Statistica Sinica, 9, 831-853.
    • (1999) Statistica Sinica , vol.9 , pp. 831-853
    • Yuan, K.-H.1    Bender, P.M.2
  • 56
    • 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
  • 58
    • 34047269616 scopus 로고    scopus 로고
    • Normal theory likelihood ratio statistic for mean and covariance structure analysis under alternative hypotheses
    • Yuan, K.-H., Hayashi, K., & Bentler, P. M. (2007). Normal theory likelihood ratio statistic for mean and covariance structure analysis under alternative hypotheses. Journal of Multivariate Analysis, 98, 1262-1282.
    • (2007) Journal of Multivariate Analysis , vol.98 , pp. 1262-1282
    • Yuan, K.-H.1    Hayashi, K.2    Bentler, P.M.3
  • 59
    • 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
  • 60
    • 0002258287 scopus 로고    scopus 로고
    • Bootstrapping techniques in analysis of mean and covariance structures
    • G. A. Marcoulides & R. E. Schumacker Eds, Hillsdale, New Jersey: Lawrence 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, New Jersey: Lawrence Erlbaum.
    • (1996) Advanced structural equation modeling: Techniques and issues , pp. 195-226
    • Yung, Y.F.1    Bentler, P.M.2


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