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Volumn 44, Issue 1-2, 2003, Pages 125-142

Maximum likelihood estimation and model comparison of nonlinear structural equation models with continuous and polytomous variables

Author keywords

Bayesian Information Criterion; Gibbs sampler; Importance sampling; Latent variables; MCEM algorithm; Metropolis Hastings algorithm

Indexed keywords

ALGORITHMS; ESTIMATION; STRUCTURAL ANALYSIS;

EID: 0141924113     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(02)00305-5     Document Type: Article
Times cited : (15)

References (45)
  • 2
    • 0032329779 scopus 로고    scopus 로고
    • A Bayesian approach to nonlinear latent variable models using the Gibbs sampler and the Metropolis-Hastings algorithm
    • Arminger G. Muthen B.O. A Bayesian approach to nonlinear latent variable models using the Gibbs sampler and the Metropolis-Hastings algorithm Psychometrika 63 1998 271-300
    • (1998) Psychometrika , vol.63 , pp. 271-300
    • Arminger, G.1    Muthen, B.O.2
  • 3
    • 0000857692 scopus 로고
    • State versus action orientation and the theory of reasoned action an application to coupon usage
    • Bagozzi R.P. Baumgartner H. Yi Y. State versus action orientation and the theory of reasoned action: an application to coupon usage J. Consumer Res. 18 1992 505-517
    • (1992) J. Consumer Res. , vol.18 , pp. 505-517
    • Bagozzi, R.P.1    Baumgartner, H.2    Yi, Y.3
  • 5
    • 0000911137 scopus 로고    scopus 로고
    • Analysis of multivariate probit models
    • Chib S. Greenberg E. Analysis of multivariate probit models Biometrika 85 1998 347-361
    • (1998) Biometrika , vol.85 , pp. 347-361
    • Chib, S.1    Greenberg, E.2
  • 6
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm (with discussion)
    • Dempster A.P. Laird N.M. Rubin D.B. Maximum likelihood from incomplete data via the EM algorithm (with discussion) J. Roy. Statist. Soc. Ser. B 39 1977 1-38
    • (1977) J. Roy. Statist. Soc. Ser. B , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 8
    • 0002653230 scopus 로고
    • A second generation nonlinear factor analysis
    • Etezadi-Amoli J. McDonald R.P. A second generation nonlinear factor analysis Psychometrika 48 1983 315-342
    • (1983) Psychometrika , vol.48 , pp. 315-342
    • Etezadi-Amoli, J.1    McDonald, R.P.2
  • 9
    • 0001582213 scopus 로고    scopus 로고
    • Inference and monitoring convergence
    • W. R. Gilks, S. Richardson, and D. J. Spiegelhalter (Eds.), London: Chapman - Hall
    • Gelman A. Inference and monitoring convergence Gilks W.R. Richardson S. Spiegelhalter D.J. Markov Chain Monte Carlo in Practice 1996 131-144 Chapman - Hall London
    • (1996) Markov Chain Monte Carlo in Practice , pp. 131-144
    • Gelman, A.1
  • 10
    • 0000954353 scopus 로고
    • Efficient metropolis jumping rules
    • J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. Smith (Eds.), Oxford: Oxford University Press
    • Gelman A. Roberts G.O. Gilks W.R. Efficient metropolis jumping rules Bernardo J.M. Berger J.O. Dawid A.P. Smith A.F.M. Bayesian Statistics 1995 599-607 Oxford University Press Oxford
    • (1995) Bayesian Statistics , pp. 599-607
    • Gelman, A.1    Roberts, G.O.2    Gilks, W.R.3
  • 11
    • 0021518209 scopus 로고
    • Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images
    • Geman S. Geman D. Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images IEEE Trans. Pattern Anal. Mach. Intell. 6 1984 721-741
    • (1984) IEEE Trans. Pattern Anal. Mach. Intell. , vol.6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 12
    • 84972511893 scopus 로고
    • Practical Markov chain Monte Carlo (with discussion)
    • Geyer C.J. Practical Markov chain Monte Carlo (with discussion) Statist. Sci. 7 1992 473-511
    • (1992) Statist. Sci. , vol.7 , pp. 473-511
    • Geyer, C.J.1
  • 13
    • 77956890234 scopus 로고
    • Monte Carlo sampling methods using Markov chains and their application
    • Hastings W.K. Monte Carlo sampling methods using Markov chains and their application Biometrika 57 1970 97-100
    • (1970) Biometrika , vol.57 , pp. 97-100
    • Hastings, W.K.1
  • 14
    • 11944261983 scopus 로고
    • Measurement error in the analysis of interaction effects between continuous predictors using multiple regression multiple indicator and structural equation approaches
    • Jaccard J. Wan C.K. Measurement error in the analysis of interaction effects between continuous predictors using multiple regression: multiple indicator and structural equation approaches Psychol. Bull. 117 1995 348-357
    • (1995) Psychol. Bull. , vol.117 , pp. 348-357
    • Jaccard, J.1    Wan, C.K.2
  • 15
    • 0031528340 scopus 로고    scopus 로고
    • STEMM a general finite mixture structural equation model
    • Jedidi K. Jagpal H.S. DeSarbo W.S. STEMM: a general finite mixture structural equation model J. Classif. 14 1997 23-50
    • (1997) J. Classif. , vol.14 , pp. 23-50
    • Jedidi, K.1    Jagpal, H.S.2    DeSarbo, W.S.3
  • 17
    • 0002382866 scopus 로고    scopus 로고
    • Nonlinear structural equation models: The Kenny-Judd model with interaction effects
    • G. A. Marcoulides, and R. E. Schumacker (Eds.), Hillsdale, NJ: LEA
    • Jöreskog K.G. Yang F. Nonlinear structural equation models: the Kenny-Judd model with interaction effects Marcoulides G.A. Schumacker R.E. Advanced Structural Equation Modeling Techniques 1996 57-88 LEA Hillsdale, NJ
    • (1996) Advanced Structural Equation Modeling Techniques , pp. 57-88
    • Jöreskog, K.G.1    Yang, F.2
  • 19
    • 0000456985 scopus 로고
    • Estimating the nonlinear and interactive effects of latent variables
    • Kenny D.A. Judd C.M. Estimating the nonlinear and interactive effects of latent variables Psychol. Bull. 96 1984 201-210
    • (1984) Psychol. Bull. , vol.96 , pp. 201-210
    • Kenny, D.A.1    Judd, C.M.2
  • 20
    • 0035528598 scopus 로고    scopus 로고
    • Hypothesis testing and model comparison in two-level structural equation models
    • Lee S.Y. Song X.Y. Hypothesis testing and model comparison in two-level structural equation models Multivariate Behav. Res. 36 2001 639-655
    • (2001) Multivariate Behav. Res. , vol.36 , pp. 639-655
    • Lee, S.Y.1    Song, X.Y.2
  • 21
    • 18044381191 scopus 로고    scopus 로고
    • Statistical analysis of nonlinear structural equation models with continuous and polytomous data
    • Lee S.Y. Zhu H.T. Statistical analysis of nonlinear structural equation models with continuous and polytomous data British J. Math. Statist. Psychol. 53 2000 209-232
    • (2000) British J. Math. Statist. Psychol. , vol.53 , pp. 209-232
    • Lee, S.Y.1    Zhu, H.T.2
  • 22
    • 0035998148 scopus 로고    scopus 로고
    • Maximum likelihood estimation of nonlinear structural equation models
    • Lee S.Y. Zhu H.T. Maximum likelihood estimation of nonlinear structural equation models Psychometrika 67 2002 189-210
    • (2002) Psychometrika , vol.67 , pp. 189-210
    • Lee, S.Y.1    Zhu, H.T.2
  • 23
    • 0003114510 scopus 로고
    • Structural equation models with continuous and polytomous variables
    • Lee S.Y. Poon W.Y. Bentler P.M. Structural equation models with continuous and polytomous variables Psychometrika 57 1992 89-106
    • (1992) Psychometrika , vol.57 , pp. 89-106
    • Lee, S.Y.1    Poon, W.Y.2    Bentler, P.M.3
  • 24
    • 85004861459 scopus 로고
    • A two-stage estimation of structural equation models with continuous and polytomous variables
    • Lee S.Y. Poon W.Y. Bentler P.M. A two-stage estimation of structural equation models with continuous and polytomous variables British. J. Math. Statist. Psychol. 48 1995 339-358
    • (1995) British. J. Math. Statist. Psychol. , vol.48 , pp. 339-358
    • Lee, S.Y.1    Poon, W.Y.2    Bentler, P.M.3
  • 25
    • 0001044972 scopus 로고
    • Finding the observed information matrix when using the EM algorithm
    • Louis T.A. Finding the observed information matrix when using the EM algorithm J. Roy. Statist. Soc. Ser. B 44 1982 226-233
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 226-233
    • Louis, T.A.1
  • 26
    • 0010038833 scopus 로고
    • A general approach to nonlinear factor analysis
    • McDonald R.P. A general approach to nonlinear factor analysis Psychometrika 27 1962 123-157
    • (1962) Psychometrika , vol.27 , pp. 123-157
    • McDonald, R.P.1
  • 27
    • 85004774558 scopus 로고
    • The simultaneous estimation of factor loadings and scales
    • McDonald R.P. The simultaneous estimation of factor loadings and scales British J. Math. Statist. Psychol. 32 1979 212-228
    • (1979) British J. Math. Statist. Psychol. , vol.32 , pp. 212-228
    • McDonald, R.P.1
  • 28
    • 0000251971 scopus 로고
    • Maximum likelihood estimation via the ECM algorithm a general framework
    • Meng X.L. Rubin D.B. Maximum likelihood estimation via the ECM algorithm: a general framework Biometrika 80 1993 267-278
    • (1993) Biometrika , vol.80 , pp. 267-278
    • Meng, X.L.1    Rubin, D.B.2
  • 29
    • 0030336223 scopus 로고    scopus 로고
    • Fitting full-information item factor models and an empirical investigation of bridge sampling
    • Meng X.L. Schilling S. Fitting full-information item factor models and an empirical investigation of bridge sampling J. Amer. Statist. Assoc. 91 1996 1254-1267
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 1254-1267
    • Meng, X.L.1    Schilling, S.2
  • 30
    • 21444451325 scopus 로고    scopus 로고
    • Simulating ratios of normalizing constants via a simple identity a theoretical exploration
    • Meng X.L. Wong H.W. Simulating ratios of normalizing constants via a simple identity: a theoretical exploration Statist Sin. 6 1996 360-831
    • (1996) Statist Sin. , vol.6 , pp. 360-831
    • Meng, X.L.1    Wong, H.W.2
  • 33
    • 0000541399 scopus 로고
    • Maximum likelihood estimation of the polychoric correlation coefficient
    • Olsson U. Maximum likelihood estimation of the polychoric correlation coefficient Psychometrika 44 1979 443-460
    • (1979) Psychometrika , vol.44 , pp. 443-460
    • Olsson, U.1
  • 34
    • 84893350143 scopus 로고    scopus 로고
    • Interaction and quadratic effect estimation a two step technique using structural equation analysis
    • Ping R.A. Interaction and quadratic effect estimation: a two step technique using structural equation analysis Psychol. Bull. 119 1996 166-175
    • (1996) Psychol. Bull. , vol.119 , pp. 166-175
    • Ping, R.A.1
  • 35
    • 0040290578 scopus 로고    scopus 로고
    • Two practical issues in using LISCOMP for analyzing continuous and ordered categorical variables
    • Poon W.Y. Lee S.Y. Two practical issues in using LISCOMP for analyzing continuous and ordered categorical variables British J. Math. Statist. Psychol. 52 1999 195-211
    • (1999) British J. Math. Statist. Psychol. , vol.52 , pp. 195-211
    • Poon, W.Y.1    Lee, S.Y.2
  • 36
    • 0032391470 scopus 로고    scopus 로고
    • An estimating equation approach for the LISCOMP model
    • Reboussin B.A. Liang K.Y. An estimating equation approach for the LISCOMP model Psychometrika 63 1998 165-182
    • (1998) Psychometrika , vol.63 , pp. 165-182
    • Reboussin, B.A.1    Liang, K.Y.2
  • 37
    • 0001153986 scopus 로고
    • Simulation of truncated normal variables
    • Roberts C.P. Simulation of truncated normal variables Statist. Comput. 5 1995 121-125
    • (1995) Statist. Comput. , vol.5 , pp. 121-125
    • Roberts, C.P.1
  • 39
    • 0000592609 scopus 로고    scopus 로고
    • Bayesian sampling-based approach for factor analysis model with continuous and polytomous data
    • Shi J.Q. Lee S.Y. Bayesian sampling-based approach for factor analysis model with continuous and polytomous data British J. Math. Statist. Psychol. 51 1998 233-252
    • (1998) British J. Math. Statist. Psychol. , vol.51 , pp. 233-252
    • Shi, J.Q.1    Lee, S.Y.2
  • 40
    • 0034364839 scopus 로고    scopus 로고
    • Latent variable models with mixed continuous and polytomous data
    • Shi J.Q. Lee S.Y. Latent variable models with mixed continuous and polytomous data J. Roy. Statist. Soc., Ser. B 62 2000 77-87
    • (2000) J. Roy. Statist. Soc., Ser. B , vol.62 , pp. 77-87
    • Shi, J.Q.1    Lee, S.Y.2
  • 41
    • 0035514102 scopus 로고    scopus 로고
    • Bayesian estimation and test for factor analysis model with continuous and polytomous data in several population
    • Song X.Y. Lee S.Y. Bayesian estimation and test for factor analysis model with continuous and polytomous data in several population British. J. Math. Statist. Psychol. 54 2001 237-263
    • (2001) British. J. Math. Statist. Psychol. , vol.54 , pp. 237-263
    • Song, X.Y.1    Lee, S.Y.2
  • 42
    • 0036931011 scopus 로고    scopus 로고
    • Bayesian estimation and model selection of multivariate linear model with polytomous variables
    • in press
    • Song, X.Y., Lee, S.Y., 2002. Bayesian estimation and model selection of multivariate linear model with polytomous variables. Multivariate Behav. Res., in press.
    • (2002) Multivariate Behav. Res.
    • Song, X.Y.1    Lee, S.Y.2
  • 43
    • 0010441854 scopus 로고    scopus 로고
    • Model selection in structural equation models with continuous and polytomous data
    • Song X.Y. Lee S.Y. Zhu H.T. Model selection in structural equation models with continuous and polytomous data Struct. Eq. Model. 8 2001 378-396
    • (2001) Struct. Eq. Model. , vol.8 , pp. 378-396
    • Song, X.Y.1    Lee, S.Y.2    Zhu, H.T.3
  • 44
    • 84950432017 scopus 로고
    • A Monte Carlo implementation of the EM algorithm and the poor man's data augmentation algorithm
    • Wei G.C.G. Tanner M.A. A Monte Carlo implementation of the EM algorithm and the poor man's data augmentation algorithm J. Amer. Statist. Assoc. 85 1990 699-704
    • (1990) J. Amer. Statist. Assoc. , vol.85 , pp. 699-704
    • Wei, G.C.G.1    Tanner, M.A.2
  • 45
    • 0001318448 scopus 로고    scopus 로고
    • Statistical analysis of nonlinear factor analysis models
    • Zhu H.T. Lee S.Y. Statistical analysis of nonlinear factor analysis models British J. Math. Statist. Psychol. 52 1998 225-242
    • (1998) British J. Math. Statist. Psychol. , vol.52 , pp. 225-242
    • Zhu, H.T.1    Lee, S.Y.2


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