메뉴 건너뛰기




Volumn 52, Issue 10, 2008, Pages 4842-4858

Structural equation modeling with near singular covariance matrices

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD; STATISTICS;

EID: 44349160026     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2008.03.030     Document Type: Article
Times cited : (58)

References (59)
  • 1
    • 34147096911 scopus 로고
    • The effects of sampling error on convergence, improper solutions and goodness-of-fit indices for maximum likelihood confirmatory factor analysis
    • Anderson J.C., and Gerbing D.W. The effects of sampling error on convergence, improper solutions and goodness-of-fit indices for maximum likelihood confirmatory factor analysis. Psychometrika 49 (1984) 155-173
    • (1984) Psychometrika , vol.49 , pp. 155-173
    • Anderson, J.C.1    Gerbing, D.W.2
  • 3
    • 0033416774 scopus 로고    scopus 로고
    • Structural equation modeling with small samples: Test statistics
    • Bentler P.M., and Yuan K.-H. Structural equation modeling with small samples: Test statistics. Multivariate Behavioral Research 34 (1999) 181-197
    • (1999) Multivariate Behavioral Research , vol.34 , pp. 181-197
    • Bentler, P.M.1    Yuan, K.-H.2
  • 4
    • 84929837036 scopus 로고
    • Prepivoting test statistics: A bootstrap view of asymptotic refinements
    • Beran R. Prepivoting test statistics: A bootstrap view of asymptotic refinements. Journal of the American Statistical Association 83 (1988) 687-697
    • (1988) Journal of the American Statistical Association , vol.83 , pp. 687-697
    • Beran, R.1
  • 5
    • 0002726349 scopus 로고
    • Bootstrap tests and confidence regions for functions of a covariance matrix
    • Beran R., and Srivastava M.S. Bootstrap tests and confidence regions for functions of a covariance matrix. Annals of Statistics 13 (1985) 95-115
    • (1985) Annals of Statistics , vol.13 , pp. 95-115
    • Beran, R.1    Srivastava, M.S.2
  • 6
    • 0036408331 scopus 로고    scopus 로고
    • Latent variables in psychology and the social sciences
    • Bollen K.A. Latent variables in psychology and the social sciences. Annual Review of Psychology 53 (2002) 605-634
    • (2002) Annual Review of Psychology , vol.53 , pp. 605-634
    • Bollen, K.A.1
  • 7
    • 0001665606 scopus 로고
    • Bootstrapping goodness of fit measures in structural equation models
    • Bollen K.A., and Long J.S. (Eds), Sage, Newbury Park, CA
    • Bollen K.A., and Stine R. Bootstrapping goodness of fit measures in structural equation models. In: Bollen K.A., and Long J.S. (Eds). Testing Structural Equation Models (1993), Sage, Newbury Park, CA 111-135
    • (1993) Testing Structural Equation Models , pp. 111-135
    • Bollen, K.A.1    Stine, R.2
  • 8
    • 0001342316 scopus 로고
    • Nonconvergence, improper solutions, and starting values in LISREL maximum likelihood estimation
    • Boomsma A. Nonconvergence, improper solutions, and starting values in LISREL maximum likelihood estimation. Psychometrika 50 (1985) 229-242
    • (1985) Psychometrika , vol.50 , pp. 229-242
    • Boomsma, A.1
  • 10
    • 0000235653 scopus 로고
    • Some theorems on quadratic forms applied in the study of analysis of variance problems. I. Effect of inequality of variance in the one-way classification
    • Box G.E.P. Some theorems on quadratic forms applied in the study of analysis of variance problems. I. Effect of inequality of variance in the one-way classification. Annals of Mathematical Statistics 25 (1954) 290-302
    • (1954) Annals of Mathematical Statistics , vol.25 , pp. 290-302
    • Box, G.E.P.1
  • 11
    • 85004870441 scopus 로고
    • Asymptotic distribution-free methods for the analysis of covariance structures
    • Browne M.W. Asymptotic distribution-free methods for the analysis of covariance structures. British Journal of Mathematical and Statistical Psychology 37 (1984) 62-83
    • (1984) British Journal of Mathematical and Statistical Psychology , vol.37 , pp. 62-83
    • Browne, M.W.1
  • 13
    • 0348118210 scopus 로고    scopus 로고
    • The impact of categorization with confirmatory factor analysis
    • DiStefano C. The impact of categorization with confirmatory factor analysis. Structural Equation Modeling 9 (2002) 327-346
    • (2002) Structural Equation Modeling , vol.9 , pp. 327-346
    • DiStefano, C.1
  • 14
    • 0001782309 scopus 로고
    • Jackknife-after-bootstrap standard errors and influence functions (with discussion)
    • Efron B. Jackknife-after-bootstrap standard errors and influence functions (with discussion). Journal of the Royal Statistical Society B 54 (1992) 83-127
    • (1992) Journal of the Royal Statistical Society B , vol.54 , pp. 83-127
    • Efron, B.1
  • 15
    • 84865285555 scopus 로고    scopus 로고
    • A reminder of the fallibility of the Wald statistic
    • Fears T.R., Benichou J., and Gail M.H. A reminder of the fallibility of the Wald statistic. American Statistician 50 (1996) 226-227
    • (1996) American Statistician , vol.50 , pp. 226-227
    • Fears, T.R.1    Benichou, J.2    Gail, M.H.3
  • 16
    • 0000406169 scopus 로고
    • Empirical Bayes estimation of the multivariate normal covariance matrix
    • Haff L.R. Empirical Bayes estimation of the multivariate normal covariance matrix. Annals of Statistics 8 (1980) 586-597
    • (1980) Annals of Statistics , vol.8 , pp. 586-597
    • Haff, L.R.1
  • 17
    • 84942484786 scopus 로고
    • Ridge regression: Biased estimation for nonorthogonal problems
    • Hoerl A., and Kennard R.W. Ridge regression: Biased estimation for nonorthogonal problems. Technometrics 12 (1970) 55-67
    • (1970) Technometrics , vol.12 , pp. 55-67
    • Hoerl, A.1    Kennard, R.W.2
  • 18
    • 0010060639 scopus 로고
    • A study in factor analysis: The stability of a bi-factor solution
    • University of Chicago
    • Holzinger K.J., and Swineford F. A study in factor analysis: The stability of a bi-factor solution. Supplementary Educational Monographs vol. 48 (1939), University of Chicago
    • (1939) Supplementary Educational Monographs , vol.48
    • Holzinger, K.J.1    Swineford, F.2
  • 19
    • 0026919385 scopus 로고
    • Can test statistics in covariance structure analysis be trusted?
    • Hu L., Bentler P.M., and Kano Y. Can test statistics in covariance structure analysis be trusted?. Psychological Bulletin 112 (1992) 351-362
    • (1992) Psychological Bulletin , vol.112 , pp. 351-362
    • Hu, L.1    Bentler, P.M.2    Kano, Y.3
  • 20
    • 21844525752 scopus 로고
    • Application of the bootstrap methods in factor analysis
    • Ichikawa M., and Konishi S. Application of the bootstrap methods in factor analysis. Psychometrika 60 (1995) 77-93
    • (1995) Psychometrika , vol.60 , pp. 77-93
    • Ichikawa, M.1    Konishi, S.2
  • 21
    • 44349176450 scopus 로고    scopus 로고
    • James, W., Stein, C., 1961. Estimation with quadratic loss. In: Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability vol. 1, University of California Press, Berkeley, CA, pp. 361-379
    • James, W., Stein, C., 1961. Estimation with quadratic loss. In: Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability vol. 1, University of California Press, Berkeley, CA, pp. 361-379
  • 22
    • 11144351983 scopus 로고
    • Multicollinearity in structural equation models with unobservable variables
    • Jagpal H.S. Multicollinearity in structural equation models with unobservable variables. Journal of Marketing Research 19 (1982) 431-439
    • (1982) Journal of Marketing Research , vol.19 , pp. 431-439
    • Jagpal, H.S.1
  • 26
    • 84950461861 scopus 로고
    • Empirical Bayes confidence intervals based on bootstrap samples (with discussion)
    • Laird N.M., and Louis T.A. Empirical Bayes confidence intervals based on bootstrap samples (with discussion). Journal of the American Statistical Association 82 (1987) 739-757
    • (1987) Journal of the American Statistical Association , vol.82 , pp. 739-757
    • Laird, N.M.1    Louis, T.A.2
  • 28
    • 0346961488 scopus 로고    scopus 로고
    • A well-conditioned estimator for large-dimensional covariance matrices
    • Ledoit O., and Wolf M. A well-conditioned estimator for large-dimensional covariance matrices. Journal of Multivariate Analysis 88 (2004) 365-411
    • (2004) Journal of Multivariate Analysis , vol.88 , pp. 365-411
    • Ledoit, O.1    Wolf, M.2
  • 30
    • 0002010951 scopus 로고
    • A study of algorithms for covariance structure analysis with specific comparisons using factor analysis
    • Lee S.Y., and Jennrich R.I. A study of algorithms for covariance structure analysis with specific comparisons using factor analysis. Psychometrika 44 (1979) 99-113
    • (1979) Psychometrika , vol.44 , pp. 99-113
    • Lee, S.Y.1    Jennrich, R.I.2
  • 31
    • 19844369721 scopus 로고    scopus 로고
    • Evaluation of the Bayesian and maximum likelihood approaches in analyzing structural equation models with small sample sizes
    • Lee S.-Y., and Song X.-Y. Evaluation of the Bayesian and maximum likelihood approaches in analyzing structural equation models with small sample sizes. Multivariate Behavioral Research 39 (2004) 653-686
    • (2004) Multivariate Behavioral Research , vol.39 , pp. 653-686
    • Lee, S.-Y.1    Song, X.-Y.2
  • 32
    • 0033658169 scopus 로고    scopus 로고
    • Applications of structural equation modeling in psychological research
    • MacCallum R.C., and Austin J.T. Applications of structural equation modeling in psychological research. Annual Review of Psychology 51 (2000) 201-226
    • (2000) Annual Review of Psychology , vol.51 , pp. 201-226
    • MacCallum, R.C.1    Austin, J.T.2
  • 35
    • 34248519641 scopus 로고    scopus 로고
    • Effects of employing ridge regression in structural equation models
    • McQuitty S. Effects of employing ridge regression in structural equation models. Structural Equation Modeling 4 (1997) 244-252
    • (1997) Structural Equation Modeling , vol.4 , pp. 244-252
    • McQuitty, S.1
  • 36
    • 11144327159 scopus 로고    scopus 로고
    • Evaluating small sample approaches for model test statistics in structural equation modeling
    • Nevitt J., and Hancock G.R. Evaluating small sample approaches for model test statistics in structural equation modeling. Multivariate Behavioral Research 39 (2004) 439-478
    • (2004) Multivariate Behavioral Research , vol.39 , pp. 439-478
    • Nevitt, J.1    Hancock, G.R.2
  • 37
    • 2442488490 scopus 로고    scopus 로고
    • Two equivalent discrepancy functions for maximum likelihood estimation: Do their test statistics follow a non-central chi-square distribution under model misspecification?
    • Olsson U.H., Foss T., and Breivik E. Two equivalent discrepancy functions for maximum likelihood estimation: Do their test statistics follow a non-central chi-square distribution under model misspecification?. Sociological Methods & Research 32 (2004) 453-500
    • (2004) Sociological Methods & Research , vol.32 , pp. 453-500
    • Olsson, U.H.1    Foss, T.2    Breivik, E.3
  • 38
    • 0034357441 scopus 로고    scopus 로고
    • Stabilizing bootstrap-t confidence intervals for small samples
    • Polansky A.M. Stabilizing bootstrap-t confidence intervals for small samples. Canadian Journal of Statistics 28 (2000) 501-516
    • (2000) Canadian Journal of Statistics , vol.28 , pp. 501-516
    • Polansky, A.M.1
  • 39
    • 44349114545 scopus 로고    scopus 로고
    • Satorra, A., Bentler, P.M., 1988. Scaling corrections for chi-square statistic in covariance structure analysis. In: Proceedings of the American Statistical Association, 308-313
    • Satorra, A., Bentler, P.M., 1988. Scaling corrections for chi-square statistic in covariance structure analysis. In: Proceedings of the American Statistical Association, 308-313
  • 40
    • 0000841881 scopus 로고
    • Synthesis of variance
    • Satterthwaite F.E. Synthesis of variance. Psychometrika 6 (1941) 309-316
    • (1941) Psychometrika , vol.6 , pp. 309-316
    • Satterthwaite, F.E.1
  • 41
    • 0010895452 scopus 로고
    • Asymptotic distribution theory in the analysis of covariance structures (a unified approach)
    • Shapiro A. Asymptotic distribution theory in the analysis of covariance structures (a unified approach). South African Statistical Journal 17 (1983) 33-81
    • (1983) South African Statistical Journal , vol.17 , pp. 33-81
    • Shapiro, A.1
  • 42
    • 0010817313 scopus 로고
    • A class of factor analysis estimation procedures within common asymptotic sampling properties
    • Swain A.J. A class of factor analysis estimation procedures within common asymptotic sampling properties. Psychometrika 40 (1975) 315-335
    • (1975) Psychometrika , vol.40 , pp. 315-335
    • Swain, A.J.1
  • 43
    • 0000142125 scopus 로고
    • How big is big enough?: Sample size and goodness of fit in structural equation models with latent variables
    • Tanaka J.S. How big is big enough?: Sample size and goodness of fit in structural equation models with latent variables. Child Development 58 (1987) 134-146
    • (1987) Child Development , vol.58 , pp. 134-146
    • Tanaka, J.S.1
  • 44
    • 0010927162 scopus 로고
    • Singular moment matrices in applied econometrics
    • Krishnaiah P.R. (Ed), North-Holland, Amsterdam
    • Theil H., and Laitinen K. Singular moment matrices in applied econometrics. In: Krishnaiah P.R. (Ed). Multivariate Analysis V (1980), North-Holland, Amsterdam 629-649
    • (1980) Multivariate Analysis V , pp. 629-649
    • Theil, H.1    Laitinen, K.2
  • 45
    • 0013406091 scopus 로고
    • Maximum entropy measurement error estimates of singular covariance matrices in undersized samples
    • Vinod H.D. Maximum entropy measurement error estimates of singular covariance matrices in undersized samples. Journal of Econometrics 20 (1982) 163-174
    • (1982) Journal of Econometrics , vol.20 , pp. 163-174
    • Vinod, H.D.1
  • 46
    • 0001877951 scopus 로고
    • Soft modeling: The basic design and some extensions
    • Jöreskog K.G., and Wold H. (Eds), North-Holland, Amsterdam
    • Wold H. Soft modeling: The basic design and some extensions. In: Jöreskog K.G., and Wold H. (Eds). Systems Under Indirect Observation: Causality, Structure, Prediction Part 2 (1982), North-Holland, Amsterdam 1-54
    • (1982) Systems Under Indirect Observation: Causality, Structure, Prediction , vol.PART 2 , pp. 1-54
    • Wold, H.1
  • 47
    • 0001980169 scopus 로고
    • Nonpositive definite matrices in structural modeling
    • Bollen K.A., and Long J.S. (Eds), Sage, Newbury Park, CA
    • Wothke W. Nonpositive definite matrices in structural modeling. In: Bollen K.A., and Long J.S. (Eds). Testing Structural Equation Models (1993), Sage, Newbury Park, CA 256-293
    • (1993) Testing Structural Equation Models , pp. 256-293
    • Wothke, W.1
  • 49
    • 0031531563 scopus 로고    scopus 로고
    • Mean and covariance structure analysis: Theoretical and practical improvements
    • Yuan K.-H., and Bentler P.M. Mean and covariance structure analysis: Theoretical and practical improvements. Journal of the American Statistical Association 92 (1997) 767-774
    • (1997) Journal of the American Statistical Association , vol.92 , pp. 767-774
    • Yuan, K.-H.1    Bentler, P.M.2
  • 50
    • 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., and Bentler P.M. On normal theory and associated test statistics in covariance structure analysis under two classes of nonnormal distributions. Statistica Sinica 9 (1999) 831-853
    • (1999) Statistica Sinica , vol.9 , pp. 831-853
    • Yuan, K.-H.1    Bentler, P.M.2
  • 51
    • 44349089208 scopus 로고    scopus 로고
    • Robust procedures in structural equation modeling
    • Lee S.-Y. (Ed), Elsevier, Amsterdam
    • Yuan K.-H., and Bentler P.M. Robust procedures in structural equation modeling. In: Lee S.-Y. (Ed). Handbook of Latent Variable and Related Models (2007), Elsevier, Amsterdam 367-397
    • (2007) Handbook of Latent Variable and Related Models , pp. 367-397
    • Yuan, K.-H.1    Bentler, P.M.2
  • 52
    • 0036584029 scopus 로고    scopus 로고
    • Fitting structural equation models using estimating equations: A model segregation approach
    • Yuan K.-H., and Chan W. Fitting structural equation models using estimating equations: A model segregation approach. British Journal of Mathematical and Statistical Psychology 55 (2002) 41-62
    • (2002) British Journal of Mathematical and Statistical Psychology , vol.55 , pp. 41-62
    • Yuan, K.-H.1    Chan, W.2
  • 53
    • 0038795072 scopus 로고    scopus 로고
    • Bootstrap approach to inference and power analysis based on three statistics for covariance structure models
    • Yuan K.-H., and Hayashi K. Bootstrap approach to inference and power analysis based on three statistics for covariance structure models. British Journal of Mathematical and Statistical Psychology 56 (2003) 93-110
    • (2003) British Journal of Mathematical and Statistical Psychology , vol.56 , pp. 93-110
    • Yuan, K.-H.1    Hayashi, K.2
  • 55
    • 34047269616 scopus 로고    scopus 로고
    • Normal theory likelihood ratio statistic for mean and covariance structure analysis under alternative hypotheses
    • Yuan K.-H., Hayashi K., and Bentler P.M. Normal theory likelihood ratio statistic for mean and covariance structure analysis under alternative hypotheses. Journal of Multivariate Analysis 98 (2007) 1262-1282
    • (2007) Journal of Multivariate Analysis , vol.98 , pp. 1262-1282
    • Yuan, K.-H.1    Hayashi, K.2    Bentler, P.M.3
  • 56
    • 0036011445 scopus 로고    scopus 로고
    • A unified approach to exploratory factor analysis with missing data, nonnormal data, and in the presence of outliers
    • Yuan K.-H., Marshall L.L., and Bentler P.M. A unified approach to exploratory factor analysis with missing data, nonnormal data, and in the presence of outliers. Psychometrika 67 (2002) 95-122
    • (2002) Psychometrika , vol.67 , pp. 95-122
    • Yuan, K.-H.1    Marshall, L.L.2    Bentler, P.M.3
  • 57
    • 9144273200 scopus 로고    scopus 로고
    • Assessing the effect of model misspecifications on parameter estimates in structural equation models
    • Yuan K.-H., Marshall L.L., and Bentler P.M. Assessing the effect of model misspecifications on parameter estimates in structural equation models. Sociological Methodology 33 (2003) 241-265
    • (2003) Sociological Methodology , vol.33 , pp. 241-265
    • Yuan, K.-H.1    Marshall, L.L.2    Bentler, P.M.3
  • 58
    • 0002258287 scopus 로고    scopus 로고
    • Bootstrapping techniques in analysis of mean and covariance structures
    • Marcoulides G.A., and Schumacker R.E. (Eds), Erlbaum, Hillsdale, NJ
    • Yung Y.-F., and Bentler P.M. Bootstrapping techniques in analysis of mean and covariance structures. In: Marcoulides G.A., and Schumacker R.E. (Eds). Advanced Structural Equation Modeling: Techniques and Issues (1996), Erlbaum, Hillsdale, NJ 195-226
    • (1996) Advanced Structural Equation Modeling: Techniques and Issues , pp. 195-226
    • Yung, Y.-F.1    Bentler, P.M.2
  • 59
    • 2642579603 scopus 로고    scopus 로고
    • Statistical analyses using bootstrapping: Concepts and implementation
    • Hoyle R.H. (Ed), Sage, Thousand Oaks, CA
    • Yung Y.-F., and Chan W. Statistical analyses using bootstrapping: Concepts and implementation. In: Hoyle R.H. (Ed). Statistical Strategies for Small Sample Research (1999), Sage, Thousand Oaks, CA 81-105
    • (1999) Statistical Strategies for Small Sample Research , pp. 81-105
    • Yung, Y.-F.1    Chan, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.