The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Bayesian Estimation of a Multilevel IRT Model Using Gibbs Sampling
Open accessAbstract
In this article, a two-level regression model is imposed on the ability parameters in an item response theory (IRT) model. The advantage of using latent rather than observed scores as dependent variables of a multilevel model is that it offers the possibility of separating the influence of item difficulty and ability level and modeling response variation and measurement error. Another advantage is that, contrary to observed scores, latent scores are test-independent, which offers the possibility of using results from different tests in one analysis where the parameters of the IRT model and the multilevel model can be concurrently estimated. The two-parameter normal ogive model is used for the IRT measurement model. It will be shown that the parameters of the two-parameter normal ogive model and the multilevel model can be estimated in a Bayesian framework using Gibbs sampling. Examples using simulated and real data are given.
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Cites
Gelman, A., Carlin, J. B., Stern, H. S., & Rubin, D. B. (2003) · doi:10.1201/9780429258480 · Cited by 27,276
Bayes Estimates for the Linear Model
Lindley, D. V., & Smith, A. F. M. (1972) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1972.tb00885.x · Cited by 2,025
Parametric empirical Bayes inference: theory and applications
Morris, C. N. (1983) · Journal of the American Statistical Association · doi:10.1080/01621459.1983.10477920 · Cited by 1,448
Estimation in Parallel Randomized Experiments
Rubin, D. B. (1981) · Journal of Educational Statistics · doi:10.3102/10769986006004377 · Cited by 269
Cited by
Item factor analysis: Current approaches and future directions.
Wirth, R. J., & Edwards, M. C. (2007) · Psychological Methods · doi:10.1037/1082-989x.12.1.58 · Cited by 910
Integrative data analysis: The simultaneous analysis of multiple data sets
Curran, P. J., & Hussong, A. M. (2009) · Psychological Methods · doi:10.1037/a0015914 · Cited by 867
Generalized Multilevel Structural Equation Modeling
Rabe-Hesketh, S., Skrondal, A., & Pickles, A. (2004) · Psychometrika · doi:10.1007/bf02295939 · Cited by 831
May, H. (2006) · Journal of Educational and Behavioral Statistics · doi:10.3102/10769986031001063 · Cited by 65
Changes in educators' data literacy during a data-based decision making intervention
van Geel, M., Keuning, T., Visscher, A., & Fox, J.-P. (2017) · Teaching and Teacher Education · doi:10.1016/j.tate.2017.02.015 · Cited by 45
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Metadata
- Authors
- Fox, J.-P., & Glas, C. A. W.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 2001-06
- Volume
- 66
- Issue
- 2
- Pages
- 271-288
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2170454983
- Cited by
- 398
- References
- 4
- FWCI
- 11.63
- Type
- journal article
- Language
- en
- Open access
- green
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