A General Cognitive Diagnosis Model for Expert-Defined Polytomous Attributes

Jinsong Chen · Jimmy DE LA TORRE

109 citations0/0 files storedApplied Psychological Measurement

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Psychometric Methodologies and Testing Educational Assessment and Pedagogy Educational Technology and Assessment

Abstract

Polytomous attributes, particularly those defined as part of the test development process, can provide additional diagnostic information. The present research proposes the polytomous generalized deterministic inputs, noisy, “and” gate (pG-DINA) model to accommodate such attributes. The pG-DINA model allows input from substantive experts to specify attribute levels and is a general model that subsumes various reduced models. In addition to model formulation, the authors evaluate the viability of the proposed model by examining how well the model parameters can be estimated under various conditions, and compare its classification accuracy against that of the conventional G-DINA model with a modified classification rule. A real-data example is used to illustrate the application of the model in practice.

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References

2001Cognitive Assessment Models with Few Assumptions, and Connections with Nonparametric Item Response Theory 1983RULE SPACE: AN APPROACH FOR DEALING WITH MISCONCEPTIONS BASED ON ITEM RESPONSE THEORY 2011The Generalized DINA Model Framework 2006Measurement of psychological disorders using cognitive diagnosis models.2004Higher-Order Latent Trait Models for Cognitive Diagnosis 2008Defining a Family of Cognitive Diagnosis Models Using Log-Linear Models with Latent Variables 1989Using Restricted Latent Class Models to Map the Skill Structure of Achievement Items 1999Estimating Multiple Classification Latent Class Models

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2015Application of a Cognitive Diagnostic Model to a High-Stakes Reading Comprehension Test 2019Using JAGS for Bayesian Cognitive Diagnosis Modeling: A Tutorial 2019An empirical Q‐matrix validation method for the sequential generalized DINA model 2017Retrofitting Diagnostic Classification Models to Responses From IRT-Based Assessment Forms 2016GDINA: The Generalized DINA Model Framework

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