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The Multidimensional Random Coefficients Multinomial Logit Model
Abstract
A multidimensional Rasch-type item response model, the multidimensional random coefficients multinomial logit model, is presented as an extension to the Adams & Wilson (1996) random coefficients multinomial logit model. The model is developed in a form that permits generalization to the multidimensional case of a wide class of Rasch models, including the simple logistic model, Masters' partial credit model, Wilson's ordered partition model, and Fischer's linear logistic model. Moreover, the model includes several existing multidimensional models as special cases, including Whitely's multicomponent latent trait model, Andersen's multidimensional Rasch model for repeated testing, and Embretson's multidimensional Rasch model for learning and change. Marginal maximum likelihood estimators for the model are derived and the estimation is examined using a simulation study. Implications and applications of the model are discussed and an example is given.
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Citations
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
A Rasch model for partial credit scoring
Masters, G. N. (1982) · Psychometrika · doi:10.1007/bf02296272 · Cited by 3,782
Cited by
Frick, J., Kaiser, F. G., & Wilson, M. (2004) · Personality and Individual Differences · doi:10.1016/j.paid.2004.02.015 · Cited by 965
Self-citationFocus Article: On the Structure of Educational Assessments
Mislevy, R. J., Steinberg, L. S., & Almond, R. G. (2003) · Measurement: Interdisciplinary Research & Perspective · doi:10.1207/s15366359mea0101_02 · Cited by 802
Implications of Evidence‐Centered Design for Educational Testing
Mislevy, R. J., & Haertel, G. D. (2006) · Educational Measurement: Issues and Practice · doi:10.1111/j.1745-3992.2006.00075.x · Cited by 543
Handbook of multimethod measurement in psychology.
(2006) · American Psychological Association eBooks · doi:10.1037/11383-000 · Cited by 481
OECD (2005) · PISA · doi:10.1787/9789264010543-en · Cited by 465
Metadata
- Authors
- Adams, R. J., Wilson, M., & Wang, W.-C.
- Venue
- Applied Psychological Measurement
- Publisher
- SAGE Publications
- Published
- 1997-03
- Volume
- 21
- Issue
- 1
- Pages
- 1-23
- ISSN
- 0146-6216 (ISSN-L)
- 1552-3497
- OpenAlex
- W1993997587
- Cited by
- 943
- References
- 2
- FWCI
- 10.92
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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