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Maximum likelihood estimation of multivariate polyserial and polychoric correlation coefficients

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  • Wai-Yin Poon
  • Sik-Yum Lee

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Suggested Citation

  • Wai-Yin Poon & Sik-Yum Lee, 1987. "Maximum likelihood estimation of multivariate polyserial and polychoric correlation coefficients," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 409-430, September.
  • Handle: RePEc:spr:psycho:v:52:y:1987:i:3:p:409-430
    DOI: 10.1007/BF02294364
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    1. Sik-Yum Lee & Wai-Yin Poon, 1986. "Maximum likelihood estimation of polyserial correlations," Psychometrika, Springer;The Psychometric Society, vol. 51(1), pages 113-121, March.
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    Cited by:

    1. Piotr Tarka, 2018. "An overview of structural equation modeling: its beginnings, historical development, usefulness and controversies in the social sciences," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(1), pages 313-354, January.
    2. Florian Schuberth & Jörg Henseler & Theo K. Dijkstra, 2018. "Partial least squares path modeling using ordinal categorical indicators," Quality & Quantity: International Journal of Methodology, Springer, vol. 52(1), pages 9-35, January.
    3. Wai Chan & Peter Bentler, 1998. "Covariance structure analysis of ordinal ipsative data," Psychometrika, Springer;The Psychometric Society, vol. 63(4), pages 369-399, December.
    4. Schröder, Michael & Dornau, Robert, 1999. "What's on their mind: do exchange rate forecasters stick to theoretical models?," ZEW Discussion Papers 99-08, ZEW - Leibniz Centre for European Economic Research.
    5. Katsikatsou, Myrsini & Moustaki, Irini & Md Jamil, Haziq, 2022. "Pairwise likelihood estimation for confirmatory factor analysis models with categorical variables and data that are missing at random," LSE Research Online Documents on Economics 108933, London School of Economics and Political Science, LSE Library.
    6. Steffen Fieuws & Geert Verbeke, 2006. "Pairwise Fitting of Mixed Models for the Joint Modeling of Multivariate Longitudinal Profiles," Biometrics, The International Biometric Society, vol. 62(2), pages 424-431, June.
    7. Poon, Wai-Yin & Hung, Hin-Yan, 1996. "Analysis of square tables with ordered categories," Computational Statistics & Data Analysis, Elsevier, vol. 22(3), pages 303-322, July.
    8. Mortier, F. & Robin, S. & Lassalvy, S. & Baril, C.P. & Bar-Hen, A., 2006. "Prediction of Euclidean distances with discrete and continuous outcomes," Journal of Multivariate Analysis, Elsevier, vol. 97(8), pages 1799-1814, September.
    9. de Leon, A.R., 2005. "Pairwise likelihood approach to grouped continuous model and its extension," Statistics & Probability Letters, Elsevier, vol. 75(1), pages 49-57, November.
    10. A. R. de Leon & A. Soo & T. Williamson, 2011. "Classification with discrete and continuous variables via general mixed-data models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(5), pages 1021-1032, February.
    11. Li, Zhengtao & Folmer, Henk & Xue, Jianhong, 2014. "To what extent does air pollution affect happiness? The case of the Jinchuan mining area, China," Ecological Economics, Elsevier, vol. 99(C), pages 88-99.
    12. Hao Bai & Yuan Zhong & Xin Gao & Wei Xu, 2020. "Multivariate Mixed Response Model with Pairwise Composite-Likelihood Method," Stats, MDPI, vol. 3(3), pages 1-18, July.
    13. Leila Amiri & Mojtaba Khazaei & Mojtaba Ganjali, 2017. "General location model with factor analyzer covariance matrix structure and its applications," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 11(3), pages 593-609, September.
    14. Schröder, Michael & Dornau, Robert, 2000. "Do Forecasters use Monetary Models? An Empirical Analysis of Exchange Rate Expectations," CoFE Discussion Papers 00/14, University of Konstanz, Center of Finance and Econometrics (CoFE).
    15. Leila Amiri & Mojtaba Khazaei & Mojtaba Ganjali, 2018. "A mixture latent variable model for modeling mixed data in heterogeneous populations and its applications," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 102(1), pages 95-115, January.
    16. Hikaru Hasegawa, 2013. "On polychoric and polyserial partial correlation coefficients: a Bayesian approach," METRON, Springer;Sapienza Università di Roma, vol. 71(2), pages 139-156, September.
    17. Zhale Tahmasebinejad, 2024. "Analysis of Two - Part Random Effects Model for Semi-Ordinal Longitudinal Response," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 86(2), pages 777-808, November.
    18. Nerlove, Marc & Schuermann, Til, 1997. "Businessmen's Expectations Are Neither Rational nor Adaptive," ZEW Discussion Papers 97-01, ZEW - Leibniz Centre for European Economic Research.
    19. Cristiano Varin, 2008. "On composite marginal likelihoods," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 92(1), pages 1-28, February.
    20. E. Bahrami Samani & M. Ganjali, 2011. "Bayesian latent variable model for mixed continuous and ordinal responses with possibility of missing responses," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(6), pages 1103-1116, March.
    21. Adolfo Esparcia & Joan Guárdia Olmos, 2001. "The Relationship of the Degree of Exposure to a Technological Disaster and Emotional Response: A Structural Model Approach," Quality & Quantity: International Journal of Methodology, Springer, vol. 35(2), pages 161-171, May.
    22. Edward J. Bedrick & Jodi Lapidus & Joseph F. Powell, 2000. "Estimating the Mahalanobis Distance from Mixed Continuous and Discrete Data," Biometrics, The International Biometric Society, vol. 56(2), pages 394-401, June.
    23. Myrsini Katsikatsou & Irini Moustaki, 2016. "Pairwise Likelihood Ratio Tests and Model Selection Criteria for Structural Equation Models with Ordinal Variables," Psychometrika, Springer;The Psychometric Society, vol. 81(4), pages 1046-1068, December.
    24. Sik-Yum Lee & Wai-Yin Poon & P. Bentler, 1989. "Simultaneous analysis of multivariate polytomous variates in several groups," Psychometrika, Springer;The Psychometric Society, vol. 54(1), pages 63-73, March.

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