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Some contributions to efficient statistics in structural models: Specification and estimation of moment structures

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  • P. Bentler
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    File URL: http://hdl.handle.net/10.1007/BF02293875
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    Bibliographic Info

    Article provided by Springer in its journal Psychometrika.

    Volume (Year): 48 (1983)
    Issue (Month): 4 (December)
    Pages: 493-517

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    Handle: RePEc:spr:psycho:v:48:y:1983:i:4:p:493-517

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    Related research

    Keywords: structural equations; covariance structures; moment structures; errors in variables; factor analysis; minimum chi square; generalized least squares; elliptical distributions; asymptotically distribution free;

    References

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    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    1. Bentler, P. M., 1983. "Simultaneous equation systems as moment structure models : With an introduction to latent variable models," Journal of Econometrics, Elsevier, vol. 22(1-2), pages 13-42.
    2. anonymous, 1981. "Communications," Management Science, INFORMS, vol. 27(9), pages 1088-1091, September.
    3. Dijkstra, Theo, 1983. "Some comments on maximum likelihood and partial least squares methods," Journal of Econometrics, Elsevier, vol. 22(1-2), pages 67-90.
    4. anonymous, 1981. "Communications," Management Science, INFORMS, vol. 27(12), pages 1465-1472, December.
    5. Karl Jöreskog & Arthur Goldberger, 1972. "Factor analysis by generalized least squares," Psychometrika, Springer, vol. 37(3), pages 243-260, September.
    6. Pal, Manoranjan, 1980. "Consistent moment estimators of regression coefficients in the presence of errors in variables," Journal of Econometrics, Elsevier, vol. 14(3), pages 349-364, December.
    7. Muthen, Bengt, 1983. "Latent variable structural equation modeling with categorical data," Journal of Econometrics, Elsevier, vol. 22(1-2), pages 43-65.
    8. Bartholomew, D. J., 1983. "Latent variable models for ordered categorical data," Journal of Econometrics, Elsevier, vol. 22(1-2), pages 229-243.
    9. S. Lee & R. Jennrich, 1979. "A study of algorithms for covariance structure analysis with specific comparisons using factor analysis," Psychometrika, Springer, vol. 44(1), pages 99-113, March.
    10. Karl Jöreskog, 1978. "Structural analysis of covariance and correlation matrices," Psychometrika, Springer, vol. 43(4), pages 443-477, December.
    11. Fang, C. & Krishnaiah, P. R., 1982. "Asymptotic distributions of functions of the eigenvalues of some random matrices for nonnormal populations," Journal of Multivariate Analysis, Elsevier, vol. 12(1), pages 39-63, March.
    12. Phillips, P C B, 1976. "The Iterated Minimum Distance Estimator and the Quasi-Maximum Likelihood Estimator," Econometrica, Econometric Society, vol. 44(3), pages 449-60, May.
    13. Cambanis, Stamatis & Huang, Steel & Simons, Gordon, 1981. "On the theory of elliptically contoured distributions," Journal of Multivariate Analysis, Elsevier, vol. 11(3), pages 368-385, September.
    14. J. Pfanzagl, 1972. "Further results on asymptotic normality II," Metrika, Springer, vol. 19(1), pages 89-97, December.
    15. Aigner, Dennis J. & Hsiao, Cheng & Kapteyn, Arie & Wansbeek, Tom, 1984. "Latent variable models in econometrics," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 23, pages 1321-1393 Elsevier.
    16. J. Pfanzagl, 1972. "Further results on asymptotic normality I," Metrika, Springer, vol. 18(1), pages 174-198, December.
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    Citations

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    Cited by:
    1. Golob, Thomas F., 2001. "Structural Equation Modeling For Travel Behavior Research," University of California Transportation Center, Working Papers qt8pb2m1pk, University of California Transportation Center.
    2. Sik-Yum Lee & Xin-Yuan Song, 2003. "Model comparison of nonlinear structural equation models with fixed covariates," Psychometrika, Springer, vol. 68(1), pages 27-47, March.
    3. Jian-Qing Shi & Sik-Yum Lee, 1997. "A bayesian estimation of factor score in confirmatory factor model with polytomous, censored or truncated data," Psychometrika, Springer, vol. 62(1), pages 29-50, March.
    4. t. Dijkstra, 1990. "Some properties of estimated scale invariant covariance structures," Psychometrika, Springer, vol. 55(2), pages 327-336, June.
    5. Jan Leeuw, 1988. "Multivariate analysis with linearizable regressions," Psychometrika, Springer, vol. 53(4), pages 437-454, December.
    6. Sik-Yum Lee, 1986. "Estimation for structural equation models with missing data," Psychometrika, Springer, vol. 51(1), pages 93-99, March.
    7. H. Kiiveri, 1987. "An incomplete data approach to the analysis of covariance structures," Psychometrika, Springer, vol. 52(4), pages 539-554, December.
    8. Albert Satorra, 1989. "Alternative test criteria in covariance structure analysis: A unified approach," Psychometrika, Springer, vol. 54(1), pages 131-151, March.
    9. Bengt Muthén, 1989. "Latent variable modeling in heterogeneous populations," Psychometrika, Springer, vol. 54(4), pages 557-585, September.
    10. Anders Skrondal & Jouni Kuha, 2012. "Improved Regression Calibration," Psychometrika, Springer, vol. 77(4), pages 649-669, October.
    11. David Woodruff & Leonard Feldt, 1986. "Tests for equality of several alpha coefficients when their sample estimates are dependent," Psychometrika, Springer, vol. 51(3), pages 393-413, September.
    12. Roderick McDonald, 1986. "Describing the elephant: Structure and function in multivariate data," Psychometrika, Springer, vol. 51(4), pages 513-534, December.
    13. Golob, Thomas F., 2011. "Structural Equation Modeling For Travel Behavior Research," University of California Transportation Center, Working Papers qt2pn5j58n, University of California Transportation Center.
    14. Haruhiko Ogasawara, 2001. "Standard errors of fit indices using residuals in structural equation modeling," Psychometrika, Springer, vol. 66(3), pages 421-436, September.
    15. Yutaka Kano & Masamori Ihara, 1994. "Identification of inconsistent variates in factor analysis," Psychometrika, Springer, vol. 59(1), pages 5-20, March.
    16. Golob, Thomas F., 2003. "Structural equation modeling for travel behavior research," Transportation Research Part B: Methodological, Elsevier, vol. 37(1), pages 1-25, January.
    17. Ab Mooijaart, 1985. "Factor analysis for non-normal variables," Psychometrika, Springer, vol. 50(3), pages 323-342, September.
    18. James Anderson & David Gerbing, 1984. "The effect of sampling error on convergence, improper solutions, and goodness-of-fit indices for maximum likelihood confirmatory factor analysis," Psychometrika, Springer, vol. 49(2), pages 155-173, June.
    19. Haruhiko Ogasawara, 2007. "Higher-order approximations to the distributions of fit indexes under fixed alternatives in structural equation models," Psychometrika, Springer, vol. 72(2), pages 227-243, June.
    20. Golob, Thomas F. & Reagan, Amelia C., 2002. "Trucking Industry Adoption of Information Technology: A structural Multivariate Discrete Choice Model," University of California Transportation Center, Working Papers qt7kv5f17n, University of California Transportation Center.
    21. Golob, Thomas F. & Regan, A C, 2002. "Trucking Industry Adoption of Information Technology: A Structural Multivariate Probit Model," University of California Transportation Center, Working Papers qt9w1988t7, University of California Transportation Center.
    22. Hong-Tu Zhu & Sik-Yum Lee, 2001. "A Bayesian analysis of finite mixtures in the LISREL model," Psychometrika, Springer, vol. 66(1), pages 133-152, March.

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