Gibbs sampling using the data augmentation scheme for higher-order item response models
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DOI: 10.1016/j.physa.2019.123696
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- Yiu-Fai Yung & David Thissen & Lori McLeod, 1999. "On the relationship between the higher-order factor model and the hierarchical factor model," Psychometrika, Springer;The Psychometric Society, vol. 64(2), pages 113-128, June.
- A. Béguin & C. Glas, 2001. "MCMC estimation and some model-fit analysis of multidimensional IRT models," Psychometrika, Springer;The Psychometric Society, vol. 66(4), pages 541-561, December.
- Zhehan Jiang & Jonathan Templin, 2019. "Gibbs Samplers for Logistic Item Response Models via the Pólya–Gamma Distribution: A Computationally Efficient Data-Augmentation Strategy," Psychometrika, Springer;The Psychometric Society, vol. 84(2), pages 358-374, June.
- Gunter Maris & Eric Maris, 2002. "A MCMC-method for models with continuous latent responses," Psychometrika, Springer;The Psychometric Society, vol. 67(3), pages 335-350, September.
- Andrade, Dalton F. & Tavares, Heliton R., 2005. "Item response theory for longitudinal data: population parameter estimation," Journal of Multivariate Analysis, Elsevier, vol. 95(1), pages 1-22, July.
- Jimmy Torre & Jeffrey Douglas, 2004. "Higher-order latent trait models for cognitive diagnosis," Psychometrika, Springer;The Psychometric Society, vol. 69(3), pages 333-353, September.
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Keywords
Bayesian estimation; Data augmentation; Gibbs sampling; HO-IRT model;All these keywords.
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