The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
A Generalized Partial Credit Model: Application of an EM Algorithm
Open accessAbstract
The partial credit model (PCM) with a varying slope parameter is developed and called the generalized partial credit model (GPCM). The item step parameter of this model is decomposed to a location and a threshold parameter, following Andrich's (1978) rating scale formulation. The EM algorithm for estimating the model parameters is derived. The performance of this generalized model is compared on both simulated and real data to a Rasch family of polytomous item response models. Simulated data were generated and then analyzed by the various polytomous item response models. The results demonstrate that the rating formulation of the GPCM is quite adaptable to the analysis of polytomous item responses. The real data used in this study consisted of the National Assessment of Educational Progress (Johnson & Allen, 1992) mathematics data that used both dichotomous and polytomous items. The PCM was applied to these data using both constant and varying slope parameters. The GPCM, which provides for varying slope parameters, yielded better fit to the data than did the PCM.
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Cites
Maximum Likelihood from Incomplete Data Via the EM Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444
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Maximum likelihood estimation from incomplete data via the EM algorithm
Dempster, A. P. (1977) · Journal of the Royal Statistical Society Series A (Statistics in Society) · Cited by 4,543
A Rasch model for partial credit scoring
Masters, G. N. (1982) · Psychometrika · doi:10.1007/bf02296272 · Cited by 3,782
A Rating Formulation for Ordered Response Categories
Andrich, D. (1978) · Psychometrika · doi:10.1007/bf02293814 · Cited by 2,970
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van Hout, B., Janssen, M. F., Feng, Y.-S., Kohlmann, T., Busschbach, J., Golicki, D., Lloyd, A., Scalone, L., Kind, P., & Pickard, A. S. (2012) · Value in Health · doi:10.1016/j.jval.2012.02.008 · Cited by 2,153
Samejima, F. (1997) · Handbook of Modern Item Response Theory · doi:10.1007/978-1-4757-2691-6_5 · Cited by 934
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
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Metadata
- Authors
- Muraki, E.
- Venue
- Applied Psychological Measurement
- Publisher
- SAGE Publications
- Published
- 1992-06
- Volume
- 16
- Issue
- 2
- Pages
- 159-176
- ISSN
- 0146-6216 (ISSN-L)
- 1552-3497
- OpenAlex
- W2160900637
- Cited by
- 1,535
- References
- 22
- FWCI
- 14.03
- Type
- journal article
- Language
- en
- Open access
- green
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