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A Bayesian approach to nonlinear latent variable models using the Gibbs sampler and the metropolis-hastings algorithm

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  • Gerhard Arminger
  • Bengt Muthén

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Suggested Citation

  • Gerhard Arminger & Bengt Muthén, 1998. "A Bayesian approach to nonlinear latent variable models using the Gibbs sampler and the metropolis-hastings algorithm," Psychometrika, Springer;The Psychometric Society, vol. 63(3), pages 271-300, September.
  • Handle: RePEc:spr:psycho:v:63:y:1998:i:3:p:271-300
    DOI: 10.1007/BF02294856
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    References listed on IDEAS

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    1. Chib, Siddhartha & Greenberg, Edward, 1996. "Markov Chain Monte Carlo Simulation Methods in Econometrics," Econometric Theory, Cambridge University Press, vol. 12(3), pages 409-431, August.
    2. repec:cup:etheor:v:12:y:1996:i:3:p:409-31 is not listed on IDEAS
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    6. 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.
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    15. Hong-Tu Zhu & Sik-Yum Lee, 2001. "A Bayesian analysis of finite mixtures in the LISREL model," Psychometrika, Springer;The Psychometric Society, vol. 66(1), pages 133-152, March.
    16. Silvia Montagna & Surya T. Tokdar & Brian Neelon & David B. Dunson, 2012. "Bayesian Latent Factor Regression for Functional and Longitudinal Data," Biometrics, The International Biometric Society, vol. 68(4), pages 1064-1073, December.
    17. 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.
    18. Cheah, Jun-Hwa & Memon, Mumtaz Ali & Richard, James E & Ting, Hiram & Cham, Tat-Huei, 2020. "CB-SEM latent interaction: Unconstrained and orthogonalized approaches," Australasian marketing journal, Elsevier, vol. 28(4), pages 218-234.
    19. 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.
    20. Cécile Proust & Hélène Jacqmin-Gadda & Jeremy M. G. Taylor & Julien Ganiayre & Daniel Commenges, 2006. "A Nonlinear Model with Latent Process for Cognitive Evolution Using Multivariate Longitudinal Data," Biometrics, The International Biometric Society, vol. 62(4), pages 1014-1024, December.
    21. Congdon, Peter, 2009. "Modelling the impact of socioeconomic structure on spatial health outcomes," Computational Statistics & Data Analysis, Elsevier, vol. 53(8), pages 3047-3056, June.
    22. Walter Krämer, 2022. "Interview mit Gerhard Arminger," AStA Wirtschafts- und Sozialstatistisches Archiv, Springer;Deutsche Statistische Gesellschaft - German Statistical Society, vol. 16(3), pages 287-294, December.
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