Article2020

Choosing between CDM and Unidimensional IRT: The Proportional Reasoning Test Case

Wenchao Ma · Nathan Minchen · Jimmy DE LA TORRE

28 citations0/0 files storedMeasurement Interdisciplinary Research and Perspectives

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Psychometric Methodologies and Testing Educational Assessment and Pedagogy Intelligent Tutoring Systems and Adaptive Learning

Abstract

Cognitive diagnosis models (CDMs) have gained increasing popularity recently because of their potential to provide diagnostic inferences that can inform learning and teaching. However, the development of cognitive diagnostic assessments (CDAs) is lagging behind the development of the associated psychometric models. At present, it is not clear whether and how much extra information can be obtained by analyzing CDA data with a CDM rather than simply using unidimensional item response theory models. This study fits CDMs and three-parameter logistic (3PL) model to the data from a CDA. Results showed that the CDMs fitted the data well, but the 3PL model did not. Compared with the 3PL model, the CDMs can highlight student differences from a multidimensional perspective, thus offering finer-grained information that unidimensional IRT models are not capable of providing.

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References

1977The Measurement of Observer Agreement for Categorical Data 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 2010Diagnostic measurement: Theory, methods, and applications.2006Measurement of psychological disorders using cognitive diagnosis models.2008Defining a Family of Cognitive Diagnosis Models Using Log-Linear Models with Latent Variables 2007A general diagnostic model applied to language testing data

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