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Graded Responses and Joining Categories: A Rejoinder to Andrich' “Models For Measurement, Precision, and Nondichotomization of Graded Responses”

Psychometrika, 1995
Andrich (1995) claims that the “probability distribution [of graded responses] reflects the precision with which the data are collected” (p. 7), and that an “increase in precision of responses [ . . . ] destroys the joining assumption” (p. 22). He stressed “that Jansen and Roskam simply asserted this equivalence [of the joining assumption and ξ ...
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The Influence of Multidimensionality on the Graded Response Model

Applied Psychological Measurement, 1994
Most item response theory models assume a uni-dimensional latent space. This study extended previous work on the effects of dimensionality on parameter estimation for dichotomous models to the polytomous graded response model. A multidimensional graded response model was developed to generate data in one, two, and three dimensions.
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Discrete Hopfield model with graded response (analysis and applications)

1990 IJCNN International Joint Conference on Neural Networks, 1990
The author describes a discrete Hopfield model of neural networks consisting of neurons with graded response and investigates its basic properties. Detailed conditions for stability and convergence to local minima are considered. The results obtained can be easily applied in optimization.
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Models for Measurement, Precision, and the Nondichotomization of Graded Responses

Psychometrika, 1995
It is common in educational, psychological, and social measurement in general, to collect data in the form of graded responses and then to combine adjacent categories. It has been argued that because the division of the continuum into categories is arbitrary, any model used for analyzing graded responses should accommodate such action.
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A sequential cognitive diagnosis model for graded response

2017
Cognitive diagnosis models (CDMs) have received increasing attention in recent years. The goal of CDMs is to classify examinees into different latent classes with unique attribute patterns indicating mastery or nonmastery on a set of skills or attributes of interest.
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Multidimensional Grade Response Model

Acta Psychologica Sinica, 2013
Wen-Jiu DU, Han-Min XIAO
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Generalized fiducial inference for graded response models

2015
Generalized fiducial inference (GFI) has been proposed as an alternative inferential framework in the statistical literature. Inferences of various sorts, such as confidence regions for (possibly transformed) model parameters, making prediction about future observations, and goodness of fit evaluation, can be constructed from a fiducial distribution ...
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Graded Response Model

2022
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