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Likelihood inference on the underlying structure of IRT models

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  • Francesco Bartolucci
  • Antonio Forcina

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  • Francesco Bartolucci & Antonio Forcina, 2005. "Likelihood inference on the underlying structure of IRT models," Psychometrika, Springer;The Psychometric Society, vol. 70(1), pages 31-43, March.
    • Handle: RePEc:spr:psycho:v:70:y:2005:i:1:p:31-43
    DOI: 10.1007/s11336-001-0934-z
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    References listed on IDEAS

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    1. Bartolucci F. & Forcina A. & Dardanoni V., 2001. "Positive Quadrant Dependence and Marginal Modeling in Two-Way Tables With Ordered Margins," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1497-1505, December.
    2. Francesco Bartolucci & Antonio Forcina, 2001. "Analysis of Capture-Recapture Data with a Rasch-Type Model Allowing for Conditional Dependence and Multidimensionality," Biometrics, The International Biometric Society, vol. 57(3), pages 714-719, September.
    3. Edward Ip, 2001. "Testing for local dependency in dichotomous and polytomous item response models," Psychometrika, Springer;The Psychometric Society, vol. 66(1), pages 109-132, March.
    4. Paul Rosenbaum, 1984. "Testing the conditional independence and monotonicity assumptions of item response theory," Psychometrika, Springer;The Psychometric Society, vol. 49(3), pages 425-435, September.
    5. Herbert Hojtink & Ivo Molenaar, 1997. "A multidimensional item response model: Constrained latent class analysis using the gibbs sampler and posterior predictive checks," Psychometrika, Springer;The Psychometric Society, vol. 62(2), pages 171-189, June.
    6. Bas Hemker & Klaas Sijtsma & Ivo Molenaar & Brian Junker, 1997. "Stochastic ordering using the latent trait and the sum score in polytomous IRT models," Psychometrika, Springer;The Psychometric Society, vol. 62(3), pages 331-347, September.
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    Citations

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    Cited by:

    1. Francesco, Bartolucci & Silvia, Bacci & Claudia, Pigini, 2015. "A misspecification test for finite-mixture logistic models for clustered binary and ordered responses," MPRA Paper 64220, University Library of Munich, Germany.
    2. Francesco Bartolucci, 2007. "A class of multidimensional IRT models for testing unidimensionality and clustering items," Psychometrika, Springer;The Psychometric Society, vol. 72(2), pages 141-157, June.
    3. Bavetta, Sebastiano & Li Donni, Paolo & Marino, Maria, 2020. "How consistent are perceptions of inequality?," Journal of Economic Psychology, Elsevier, vol. 78(C).
    4. Rudy Ligtvoet, 2022. "Incomplete Tests of Conditional Association for the Assessment of Model Assumptions," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1214-1237, December.
    5. Li Donni, P., 2010. "Risk Preference Heterogeneity And Multiple Demand For Insurance," Health, Econometrics and Data Group (HEDG) Working Papers 10/17, HEDG, c/o Department of Economics, University of York.
    6. Jules Ellis, 2014. "An Inequality for Correlations in Unidimensional Monotone Latent Variable Models for Binary Variables," Psychometrika, Springer;The Psychometric Society, vol. 79(2), pages 303-316, April.
    7. Francesco Bartolucci & Alessio Farcomeni & Luisa Scaccia, 2017. "A Nonparametric Multidimensional Latent Class IRT Model in a Bayesian Framework," Psychometrika, Springer;The Psychometric Society, vol. 82(4), pages 952-978, December.
    8. Jules L. Ellis & Klaas Sijtsma, 2023. "A Test to Distinguish Monotone Homogeneity from Monotone Multifactor Models," Psychometrika, Springer;The Psychometric Society, vol. 88(2), pages 387-412, June.
    9. Rudy Ligtvoet, 2015. "Remarks and a Correction of Ligtvoet’s Treatment of the Isotonic Partial Credit Model," Psychometrika, Springer;The Psychometric Society, vol. 80(2), pages 514-515, June.
    10. Forcina, Antonio, 2008. "Identifiability of extended latent class models with individual covariates," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5263-5268, August.
    11. Svend Kreiner & Karl Christensen, 2011. "Item Screening in Graphical Loglinear Rasch Models," Psychometrika, Springer;The Psychometric Society, vol. 76(2), pages 228-256, April.
    12. Valentino Dardanoni & Paolo Donni, 2016. "The welfare cost of unpriced heterogeneity in insurance markets," RAND Journal of Economics, RAND Corporation, vol. 47(4), pages 998-1028, November.
    13. Dardanoni, V & Li Donni, P, 2008. "Testing For Asymmetric Information In Insurance Markets With Unobservable Types," Health, Econometrics and Data Group (HEDG) Working Papers 08/26, HEDG, c/o Department of Economics, University of York.

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