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High-dimensional maximum marginal likelihood item factor analysis by adaptive quadrature


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  • Stephen Schilling


  • R. Bock
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    Bibliographic Info

    Article provided by Springer in its journal Psychometrika.

    Volume (Year): 70 (2005)
    Issue (Month): 3 (September)
    Pages: 533-555

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    Handle: RePEc:spr:psycho:v:70:y:2005:i:3:p:533-555

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    Keywords: factor analysis; item response theory; latent variables; EM algorithm; marginal likelihood estimation; GLS estimation; adaptive quadrature; monte carlo integration;


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    1. Henry Kaiser, 1958. "The varimax criterion for analytic rotation in factor analysis," Psychometrika, Springer, vol. 23(3), pages 187-200, September.
    2. Sophia Rabe-Hesketh & Anders Skrondal & Andrew Pickles, 2002. "Reliable estimation of generalized linear mixed models using adaptive quadrature," Stata Journal, StataCorp LP, vol. 2(1), pages 1-21, February.
    3. J. Guilford, 1941. "The difficulty of a test and its factor composition," Psychometrika, Springer, vol. 6(2), pages 67-77, April.
    4. George Ferguson, 1941. "The factorial interpretation of test difficulty," Psychometrika, Springer, vol. 6(5), pages 323-329, October.
    5. Rabe-Hesketh, Sophia & Skrondal, Anders & Pickles, Andrew, 2005. "Maximum likelihood estimation of limited and discrete dependent variable models with nested random effects," Journal of Econometrics, Elsevier, vol. 128(2), pages 301-323, October.
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    Cited by:
    1. Shelby Haberman & Sandip Sinharay, 2010. "Reporting of Subscores Using Multidimensional Item Response Theory," Psychometrika, Springer, vol. 75(2), pages 209-227, June.
    2. Cagnone, Silvia & Bartolucci, Francesco, 2013. "Adaptive quadrature for likelihood inference on dynamic latent variable models for time-series and panel data," MPRA Paper 51037, University Library of Munich, Germany.
    3. Michael Edwards, 2010. "A Markov Chain Monte Carlo Approach to Confirmatory Item Factor Analysis," Psychometrika, Springer, vol. 75(3), pages 474-497, September.
    4. David Hessen, 2012. "Fitting and Testing Conditional Multinormal Partial Credit Models," Psychometrika, Springer, vol. 77(4), pages 693-709, October.
    5. Jochen Ranger & Jorg-Tobias Kuhn, 2012. "A flexible latent trait model for response times in tests," Psychometrika, Springer, vol. 77(1), pages 31-47, January.
    6. Sun-Joo Cho & Paul Boeck & Susan Embretson & Sophia Rabe-Hesketh, 2014. "Additive Multilevel Item Structure Models with Random Residuals: Item Modeling for Explanation and Item Generation," Psychometrika, Springer, vol. 79(1), pages 84-104, January.
    7. Vassilis Vasdekis & Silvia Cagnone & Irini Moustaki, 2012. "A Composite Likelihood Inference in Latent Variable Models for Ordinal Longitudinal Responses," Psychometrika, Springer, vol. 77(3), pages 425-441, July.
    8. Li Cai, 2010. "A Two-Tier Full-Information Item Factor Analysis Model with Applications," Psychometrika, Springer, vol. 75(4), pages 581-612, December.
    9. An, Xinming & Bentler, Peter M., 2012. "Efficient direct sampling MCEM algorithm for latent variable models with binary responses," Computational Statistics & Data Analysis, Elsevier, vol. 56(2), pages 231-244.
    10. Silvia Cagnone & Paola Monari, 2013. "Latent variable models for ordinal data by using the adaptive quadrature approximation," Computational Statistics, Springer, vol. 28(2), pages 597-619, April.
    11. Wu, Jianmin & Bentler, Peter M., 2013. "Limited information estimation in binary factor analysis: A review and extension," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 392-403.
    12. Li Cai, 2010. "High-dimensional Exploratory Item Factor Analysis by A Metropolis–Hastings Robbins–Monro Algorithm," Psychometrika, Springer, vol. 75(1), pages 33-57, March.
    13. Cho, S.-J. & Rabe-Hesketh, S., 2011. "Alternating imputation posterior estimation of models with crossed random effects," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 12-25, January.
    14. Javier Revuelta, 2008. "The generalized Logit-Linear Item Response Model for Binary-Designed Items," Psychometrika, Springer, vol. 73(3), pages 385-405, September.


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