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Cited by 238

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A nonlinear mixed model framework for item response theory.

Rijmen, Frank, Tuerlinckx, Francis, De Boeck, Paul, Kuppens, Peter·2003·Psychological Methods

Abstract

Mixed models take the dependency between observations based on the same cluster into account by introducing 1 or more random effects. Common item response theory (IRT) models introduce latent person variables to model the dependence between responses of the same participant. Assuming a distribution for the latent variables, these IRT models are formally equivalent with nonlinear mixed models. It is shown how a variety of IRT models can be formulated as particular instances of nonlinear mixed models. The unifying framework offers the advantage that relations between different IRT models become explicit and that it is rather straightforward to see how existing IRT models can be adapted and extended. The approach is illustrated with a self-report study on anger.

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Metadata

Authors
Rijmen, F., Tuerlinckx, F., De Boeck, P., & Kuppens, P.
Venue
Psychological Methods
Published
2003-06
Volume
8
Issue
2
Pages
185-205
ISSN
  • 1082-989X (ISSN-L)
  • 1939-1463
OpenAlex
W2053752283
Cited by
238
References
7
FWCI
19.78
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: A nonlinear mixed model framework for item response theory. https://app.cochat.ai/papers/10.1037/1082-989x.8.2.185
The paper
Rijmen, F., Tuerlinckx, F., De Boeck, P., & Kuppens, P. (2003). A nonlinear mixed model framework for item response theory. Psychological Methods. https://doi.org/10.1037/1082-989x.8.2.185

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.