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Bayesian estimation in unrestricted factor analysis: A treatment for heywood cases

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  • James Martin
  • Roderick McDonald

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  • James Martin & Roderick McDonald, 1975. "Bayesian estimation in unrestricted factor analysis: A treatment for heywood cases," Psychometrika, Springer;The Psychometric Society, vol. 40(4), pages 505-517, December.
    • Handle: RePEc:spr:psycho:v:40:y:1975:i:4:p:505-517
    DOI: 10.1007/BF02291552
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    References listed on IDEAS

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    1. K. Jöreskog, 1967. "Some contributions to maximum likelihood factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 32(4), pages 443-482, December.
    2. Melvin Novick & Paul Jackson & Dorothy Thayer, 1971. "Bayesian inference and the classical test theory model: Reliability and true scores," Psychometrika, Springer;The Psychometric Society, vol. 36(3), pages 261-288, September.
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    Citations

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    Cited by:

    1. Roderick McDonald, 1986. "Describing the elephant: Structure and function in multivariate data," Psychometrika, Springer;The Psychometric Society, vol. 51(4), pages 513-534, December.
    2. Maura Mezzetti, 2012. "Bayesian factor analysis for spatially correlated data: application to cancer incidence data in Scotland," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 21(1), pages 49-74, March.
    3. Kei Hirose & Miyuki Imada, 2018. "Sparse factor regression via penalized maximum likelihood estimation," Statistical Papers, Springer, vol. 59(2), pages 633-662, June.
    4. Jiang, Xiaomo & Mahadevan, Sankaran, 2009. "Bayesian structural equation modeling method for hierarchical model validation," Reliability Engineering and System Safety, Elsevier, vol. 94(4), pages 796-809.
    5. Yutaka Kano & Masamori Ihara, 1994. "Identification of inconsistent variates in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 59(1), pages 5-20, March.
    6. Sik-Yum Lee, 1980. "Estimation of covariance structure models with parameters subject to functional restraints," Psychometrika, Springer;The Psychometric Society, vol. 45(3), pages 309-324, September.
    7. Elena A. Erosheva & S. McKay Curtis, 2017. "Dealing with Reflection Invariance in Bayesian Factor Analysis," Psychometrika, Springer;The Psychometric Society, vol. 82(2), pages 295-307, June.
    8. Sik-Yum Lee & Jian-Qing Shi, 2000. "Joint Bayesian Analysis of Factor Scores and Structural Parameters in the Factor Analysis Model," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 52(4), pages 722-736, December.
    9. David Kaplan & Chansoon Lee, 2018. "Optimizing Prediction Using Bayesian Model Averaging: Examples Using Large-Scale Educational Assessments," Evaluation Review, , vol. 42(4), pages 423-457, August.
    10. Sik-Yum Lee, 1981. "A bayesian approach to confirmatory factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 46(2), pages 153-160, June.
    11. Yeojin Chung & Andrew Gelman & Sophia Rabe-Hesketh & Jingchen Liu & Vincent Dorie, 2015. "Weakly Informative Prior for Point Estimation of Covariance Matrices in Hierarchical Models," Journal of Educational and Behavioral Statistics, , vol. 40(2), pages 136-157, April.
    12. Yutaka Kano, 1990. "Noniterative estimation and the choice of the number of factors in exploratory factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 55(2), pages 277-291, June.

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