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Maximum likelihood estimation of nonlinear structural equation models

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  • Sik-Yum Lee
  • Hong-Tu Zhu

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  • Sik-Yum Lee & Hong-Tu Zhu, 2002. "Maximum likelihood estimation of nonlinear structural equation models," Psychometrika, Springer;The Psychometric Society, vol. 67(2), pages 189-210, June.
    • Handle: RePEc:spr:psycho:v:67:y:2002:i:2:p:189-210
    DOI: 10.1007/BF02294842
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    References listed on IDEAS

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    1. Roderick McDonald, 1967. "Numerical methods for polynomial models in nonlinear factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 32(1), pages 77-112, March.
    2. Anderson, T. W., 1989. "Linear latent variable models and covariance structures," Journal of Econometrics, Elsevier, vol. 41(1), pages 91-119, May.
    3. Donald Rubin & Dorothy Thayer, 1982. "EM algorithms for ML factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 47(1), pages 69-76, March.
    4. Sik-Yum Lee & Sin-Yu Tsang, 1999. "Constrained maximum likelihood estimation of two-level covariance structure model via EM type algorithms," Psychometrika, Springer;The Psychometric Society, vol. 64(4), pages 435-450, December.
    5. Jamshid Etezadi-Amoli & Roderick McDonald, 1983. "A second generation nonlinear factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 48(3), pages 315-342, September.
    6. J. G. Booth & J. P. Hobert, 1999. "Maximizing generalized linear mixed model likelihoods with an automated Monte Carlo EM algorithm," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(1), pages 265-285.
    7. Bagozzi, Richard P & Baumgartner, Hans & Yi, Youjae, 1992. "State versus Action Orientation and the Theory of Reasoned Action: An Application to Coupon Usage," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 18(4), pages 505-518, March.
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    Citations

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    Cited by:

    1. Zhang, Yan-Qing & Tian, Guo-Liang & Tang, Nian-Sheng, 2016. "Latent variable selection in structural equation models," Journal of Multivariate Analysis, Elsevier, vol. 152(C), pages 190-205.
    2. Ahmed Ouazza & Noureddine Rhomari & Zoubir Zarrouk, 2022. "Kernel method to estimate nonlinear structural equation models," Quality & Quantity: International Journal of Methodology, Springer, vol. 56(5), pages 3465-3480, October.
    3. Ab Mooijaart & Albert Satorra, 2012. "Moment Testing for Interaction Terms in Structural Equation Modeling," Psychometrika, Springer;The Psychometric Society, vol. 77(1), pages 65-84, January.
    4. Sik-Yum Lee & Xin-Yuan Song, 2007. "A Unified Maximum Likelihood Approach for Analyzing Structural Equation Models With Missing Nonstandard Data," Sociological Methods & Research, , vol. 35(3), pages 352-381, February.
    5. Lee, Sik-Yum & Song, Xin-Yuan, 2008. "On Bayesian estimation and model comparison of an integrated structural equation model," Computational Statistics & Data Analysis, Elsevier, vol. 52(10), pages 4814-4827, June.
    6. repec:hum:wpaper:sfb649dp2008-062 is not listed on IDEAS
    7. Po-Hsien Huang & Hung Chen & Li-Jen Weng, 2017. "A Penalized Likelihood Method for Structural Equation Modeling," Psychometrika, Springer;The Psychometric Society, vol. 82(2), pages 329-354, June.
    8. Brettel, Malte & Mauer, René & Engelen, Andreas & Küpper, Daniel, 2012. "Corporate effectuation: Entrepreneurial action and its impact on R&D project performance," Journal of Business Venturing, Elsevier, vol. 27(2), pages 167-184.
    9. Fu, Ying-Zi & Tang, Nian-Sheng & Chen, Xing, 2009. "Local influence analysis of nonlinear structural equation models with nonignorable missing outcomes from reproductive dispersion models," Computational Statistics & Data Analysis, Elsevier, vol. 53(10), pages 3671-3684, August.
    10. Sik-Yum Lee & Xin-Yuan Song, 2004. "Maximum Likelihood Analysis of a General Latent Variable Model with Hierarchically Mixed Data," Biometrics, The International Biometric Society, vol. 60(3), pages 624-636, September.
    11. Sabiwalsky, Ralf, 2010. "Nonlinear modelling of target leverage with latent determinant variables -- new evidence on the trade-off theory," Review of Financial Economics, Elsevier, vol. 19(4), pages 137-150, October.
    12. Ruixin Guo & Hongtu Zhu & Sy-Miin Chow & Joseph G. Ibrahim, 2012. "Bayesian Lasso for Semiparametric Structural Equation Models," Biometrics, The International Biometric Society, vol. 68(2), pages 567-577, June.
    13. Chengdi Lian & Camila Borelli Zeller & Ke Yang & Weihu Cheng, 2025. "Modified maximum likelihood estimator for censored linear regression model with two-piece generalized t distribution," Statistical Papers, Springer, vol. 66(2), pages 1-45, February.
    14. Lee, Sik-Yum & Lu, Bin & Song, Xin-Yuan, 2006. "Assessing local influence for nonlinear structural equation models with ignorable missing data," Computational Statistics & Data Analysis, Elsevier, vol. 50(5), pages 1356-1377, March.
    15. Lee, Sik-Yum & Song, Xin-Yuan, 2003. "Maximum likelihood estimation and model comparison of nonlinear structural equation models with continuous and polytomous variables," Computational Statistics & Data Analysis, Elsevier, vol. 44(1-2), pages 125-142, October.
    16. Sabiwalsky, Ralf, 2008. "Nonlinear modeling of target leverage with latent determinant variables: New evidence on the trade-off theory," SFB 649 Discussion Papers 2008-062, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    17. Sik-Yum Lee & Xin-Yuan Song, 2003. "Model comparison of nonlinear structural equation models with fixed covariates," Psychometrika, Springer;The Psychometric Society, vol. 68(1), pages 27-47, March.
    18. Tang, Nian-Sheng & Chen, Xing & Fu, Ying-Zi, 2009. "Bayesian analysis of non-linear structural equation models with non-ignorable missing outcomes from reproductive dispersion models," Journal of Multivariate Analysis, Elsevier, vol. 100(9), pages 2031-2043, October.
    19. Anders Skrondal & Sophia Rabe‐Hesketh, 2007. "Latent Variable Modelling: A Survey," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 34(4), pages 712-745, December.
    20. Ralf Sabiwalsky, 2010. "Nonlinear modelling of target leverage with latent determinant variables — new evidence on the trade‐off theory," Review of Financial Economics, John Wiley & Sons, vol. 19(4), pages 137-150, October.
    21. Jeffrey R. Harring, 2009. "A Nonlinear Mixed Effects Model for Latent Variables," Journal of Educational and Behavioral Statistics, , vol. 34(3), pages 293-318, September.

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