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The Hills…with the Partial Credit Model

2020
In Rasch Analysis in the Human Sciences we discussed at length the use of what we named “The Hills” (Chap. 9 How Well Does That Rating Scale Work? How Do You Know, Too?). The Hills provide a technique by which analysts can evaluate how each rating scale step is helping to measure each respondent.
William J. Boone, John R. Staver
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A computer implementation of the generalized partial credit model

Proceedings of the 5th international conference on Computer systems and technologies - CompSysTech '04, 2004
Generalised Partial Credit Model (GPCM) is used in the case of a test with graded response categories. It is a generalization of both -- the graded response model and the two-parametric logistic model and in this way it seems to be one of the most useful models with respect to the psychological scales.
Lyubomir Christov, Dimiter Tsvetkov
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Partial Credit Model

1999
The partial credit model (PCM) is a model for constructing measures using items with two or more ordered response categories; that is, items scored polytomously. The model is a simple application of Rasch’s model for dichotomies (Volume One, Chapter 3). Specifically, if responses to item i are recorded in categories a = 0, 1, … Ai, then the probability
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Parameter estimation for finite mixtures of partial credit models

Proceedings of the 2007 international conference on Computer systems and technologies - CompSysTech '07, 2007
We consider a test of finite length and assume that each item has m ≥ 2 graded response categories which satisfy the Partial Credit Model (PCM) from the Item Response Theory [1--4] and also that there exist K population classes which differ in the parameter values.
Dimiter Tsvetkov, Lyubomir Hristov
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Joint partial credit and time model

Behavior Research Methods
Joint modeling of responses and response times (RTs) has become a mainstream approach in psychological and educational measurement, offering a deeper understanding of test-taking behavior and more precise estimates of individual performance. However, despite its growing popularity, little is known about RT patterns under partial credit settings.
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A Model Fit Statistic for Generalized Partial Credit Model

Educational and Psychological Measurement, 2009
Investigating the fit of a parametric model is an important part of the measurement process when implementing item response theory (IRT), but research examining it is limited. A general nonparametric approach for detecting model misfit, introduced by J. Douglas and A. S. Cohen (2001), has exhibited promising results for the two-parameter logistic model
Liang, T, Wells, CS
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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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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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