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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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    Abstract

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    File URL: http://hdl.handle.net/10.1007/BF02294842
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    Article provided by Springer & The Psychometric Society in its journal Psychometrika.

    Volume (Year): 67 (2002)
    Issue (Month): 2 (June)
    Pages: 189-210

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    Handle: RePEc:spr:psycho:v:67:y:2002:i:2:p:189-210
    DOI: 10.1007/BF02294842
    Contact details of provider: Web page: http://www.springer.com

    Web page: https://www.psychometricsociety.org/

    Order Information: Web: http://www.springer.com/psychology/journal/11336/PS2

    Keywords: nonlinear structural equation models; missing data; MCECM algorithm; Metropolis-Hastings algorithm; standard errors estimates;

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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. 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.
    3. 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.
    4. Anderson, T. W., 1989. "Linear latent variable models and covariance structures," Journal of Econometrics, Elsevier, vol. 41(1), pages 91-119, May.
    5. Donald Rubin & Dorothy Thayer, 1982. "EM algorithms for ML factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 47(1), pages 69-76, March.
    6. Jamshid Etezadi-Amoli & Roderick McDonald, 1983. "A second generation nonlinear factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 48(3), pages 315-342, September.
    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, Oxford University Press, vol. 18(4), pages 505-518, March.
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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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.

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