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On the Existence and Uniqueness of JML Estimates for the Partial Credit Model

Psychometrika, 2005
A necessary and sufficient condition is given in this paper for the existence and uniqueness of the maximum likelihood (the so-called joint maximum likelihood) estimate of the parameters of the Partial Credit Model. This condition is stated in terms of a structural property of the pattern of the data matrix that can be easily verified on the basis of a
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The Partial Credit Model and Generalized Partial Credit Model as Constrained Nominal Response Models, With Applications in Mplus

Structural Equation Modeling: A Multidisciplinary Journal, 2015
The purpose of this article is to demonstrate constraining the nominal response model in Mplus software to calibrate data under the partial credit model (PCM) and generalized partial credit model (GPCM). Currently, many researchers are uncertain if the PCM and GPCM can be estimated within Mplus.
Anne Corinne Huggins-Manley   +1 more
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A Generalized Partial Credit Model

1997
A generalized partial credit model (GPCM) was formulated by Muraki (1992) based on Masters’ (1982, this volume) partial credit model (PCM) by relaxing the assumption of uniform discriminating power of test items. However, the difference between these models is not only the parameterization of item characteristics but also the basic assumption about the
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An Introduction to the Partial Credit Model for Developing Nursing Assessments

Journal of Nursing Education, 1999
Abstract The partial credit model, which is a special case of the Rasch measurement model, was presented as a useful way to develop and refine complex nursing assessments. The advantages of the Rasch model over the classical psychometric model were presented including the lack of bias in the measurement process, the ability to highlight those
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Is the partial credit model a Rasch model?

Journal of applied measurement, 2012
A balance scale metaphor is offered as a tool for explaining the principles of measurement and for visualizing the internal structure of dichotomous and polytomous Rasch models. The balance scale metaphor is used to guide the derivation of a general polytomous Rasch model and to illustrate the additional assumptions subsequently required to derive the ...
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Fitting and Testing Conditional Multinormal Partial Credit Models

Psychometrika, 2012
A multinormal partial credit model for factor analysis of polytomously scored items with ordered response categories is derived using an extension of the Dutch Identity (Holland in Psychometrika 55:5–18, 1990). In the model, latent variables are assumed to have a multivariate normal distribution conditional on unweighted sums of item scores, which are ...
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Partial Credit Model

2022
Stefanie A. Wind, Cheng Hua
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Remarks and a Correction of Ligtvoet’s Treatment of the Isotonic Partial Credit Model

Psychometrika, 2015
This note contains some remarks on Ligtvoet’s (Psychometrika, 77:479–494, 2012) treatment of the isotonic partial credit model. The Proposition relating to the observable property MWI is shown to be false.
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Partial credit model and pivot anchoring.

Journal of applied measurement, 2002
This article contains information on the Rasch measurement partial credit model: what it is, how it differs from other Rasch models, when to use it, and how to use it. The calibration of instruments with increasingly complex items is described, starting with dichotomous items and moving on to polychotomous items using a single rating scale, and mixed ...
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