Partial credit model: Estimations and tests of fit with pcmodel
Jean-François Hamel
University Hospital of Angers
Methodology and Biostatistics Unit
Angers, France
[email protected]
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Véronique Sébille
University Hospital of Nantes
Biometric Platform
Nantes, France
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Gaëlle Challet-Bouju
University Hospital of Nantes
Addictology Department
Nantes, France
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Jean-Benoit Hardouin
University Hospital of Nantes
Biometric Platform
Nantes, France
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Abstract. The partial credit and rating scale models are classical models from item
response theory; they belong to the generalized linear latent and mixed model
family and allow one to analyze questionnaires such as patient-reported
outcomes. Few goodness-of-fit testing procedures have been proposed for such
models, and few computer programs implement such tests. Here we describe two
tests: the R1m test (which tests the overall adequacy of the model to the data)
and the Si test (which evaluates the contribution of each item to a possible
lack of fit). We also propose two commands: pcmodel, which implements
partial credit or rating scale models, and pcmtest, which tests the
adequacy of such models to the data.
View all articles by these authors:
Jean-François Hamel, Véronique Sébille, Gaëlle Challet-Bouju, Jean-Benoit Hardouin
View all articles with these keywords:
pcmodel, pcmtest, partial credit model, rating scale model, item response theory, fit tests
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