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MCMC estimation and some model-fit analysis of multidimensional IRT models


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  • A. Béguin
  • C. Glas
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    Bibliographic Info

    Article provided by Springer in its journal Psychometrika.

    Volume (Year): 66 (2001)
    Issue (Month): 4 (December)
    Pages: 541-561

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    Handle: RePEc:spr:psycho:v:66:y:2001:i:4:p:541-561

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    Keywords: Bayes estimates; full-information factor analysis; Gibbs sampler; item response theory; Markov chain Monte Carlo; multidimensional item response theory; normal ogive model;


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    1. Jean-Paul Fox & Cees Glas, 2001. "Bayesian estimation of a multilevel IRT model using gibbs sampling," Psychometrika, Springer, vol. 66(2), pages 271-288, June.
    2. Cees Glas, 1988. "The derivation of some tests for the rasch model from the multinomial distribution," Psychometrika, Springer, vol. 53(4), pages 525-546, December.
    3. C. Glas & N. Verhelst, 1989. "Extensions of the partial credit model," Psychometrika, Springer, vol. 54(4), pages 635-659, September.
    4. William Stout, 1987. "A nonparametric approach for assessing latent trait unidimensionality," Psychometrika, Springer, vol. 52(4), pages 589-617, December.
    5. Robert Mislevy, 1986. "Bayes modal estimation in item response models," Psychometrika, Springer, vol. 51(2), pages 177-195, June.
    6. Noel Cressie & Paul Holland, 1983. "Characterizing the manifest probabilities of latent trait models," Psychometrika, Springer, vol. 48(1), pages 129-141, March.
    7. Cees Glas, 1999. "Modification indices for the 2-PL and the nominal response model," Psychometrika, Springer, vol. 64(3), pages 273-294, September.
    8. Paul Rosenbaum, 1984. "Testing the conditional independence and monotonicity assumptions of item response theory," Psychometrika, Springer, vol. 49(3), pages 425-435, September.
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    Cited by:
    1. 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.
    2. Michael Edwards, 2010. "A Markov Chain Monte Carlo Approach to Confirmatory Item Factor Analysis," Psychometrika, Springer, vol. 75(3), pages 474-497, September.
    3. R. Klein Entink & J.-P. Fox & W. Linden, 2009. "A Multivariate Multilevel Approach to the Modeling of Accuracy and Speed of Test Takers," Psychometrika, Springer, vol. 74(1), pages 21-48, March.
    4. Mariagiulia Matteucci & Bernard Veldkamp, 2013. "On the use of MCMC computerized adaptive testing with empirical prior information to improve efficiency," Statistical Methods and Applications, Springer, vol. 22(2), pages 243-267, June.
    5. de Leeuw, Jan, 2006. "Principal component analysis of binary data by iterated singular value decomposition," Computational Statistics & Data Analysis, Elsevier, vol. 50(1), pages 21-39, January.
    6. Wim van der Linden, 2007. "A Hierarchical Framework for Modeling Speed and Accuracy on Test Items," Psychometrika, Springer, vol. 72(3), pages 287-308, September.
    7. Ernesto San Martín & Jean-Marie Rolin & Luis Castro, 2013. "Identification of the 1PL Model with Guessing Parameter: Parametric and Semi-parametric Results," Psychometrika, Springer, vol. 78(2), pages 341-379, April.
    8. Martijn Jong & Jan-Benedict Steenkamp, 2010. "Finite Mixture Multilevel Multidimensional Ordinal IRT Models for Large Scale Cross-Cultural Research," Psychometrika, Springer, vol. 75(1), pages 3-32, March.
    9. Azevedo, Caio L.N. & Bolfarine, Heleno & Andrade, Dalton F., 2011. "Bayesian inference for a skew-normal IRT model under the centred parameterization," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 353-365, January.
    10. Hanneke Geerlings & Cees Glas & Wim Linden, 2011. "Modeling Rule-Based Item Generation," Psychometrika, Springer, vol. 76(2), pages 337-359, April.
    11. Hong Jiao, 2011. "J.-P. FOX (2010) Bayesian Item Response Modeling: Theory and Applications," Psychometrika, Springer, vol. 76(2), pages 360-362, April.
    12. Yanyan Sheng, . "Markov Chain Monte Carlo Estimation of Normal Ogive IRT Models in MATLAB," Journal of Statistical Software, American Statistical Association, vol. 25(i08).


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