Test Construction for Cognitive Diagnosis

Robert A. Henson

157 citations0/0 files storedApplied Psychological Measurement

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

Abstract

Although cognitive diagnostic models (CDMs) can be useful in the analysis and interpretation of existing tests, little has been developed to specify how one might construct a good test using aspects of the CDMs. This article discusses the derivation of a general CDM index based on Kullback-Leibler information that will serve as a measure of how informative an item is for the classification of examinees. The effectiveness of the index is examined for items calibrated using the deterministic input noisy “and” gate model (DINA) and the reparameterized unified model (RUM) by implementing a simple heuristic to construct a test from an item bank. When compared to randomly constructed tests from the same item bank, the heuristic shows significant improvement in classification rates.

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References

2012Applications of Item Response Theory To Practical Testing Problems 2000Test Theory: A Unified Treatment 1999Test Theory: A Unified Treatment 1985Item Response Theory 2001Cognitive Assessment Models with Few Assumptions, and Connections with Nonparametric Item Response Theory 1989Using Restricted Latent Class Models to Map the Skill Structure of Achievement Items 1999Estimating Multiple Classification Latent Class Models 1996A Global Information Approach to Computerized Adaptive Testing

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2014Cognitively Diagnostic Assessments and the Cognitive Diagnosis Model Framework 2010Factors Affecting the Item Parameter Estimation and Classification Accuracy of the DINA Model 2016Validity and Reliability of Situational Judgement Test Scores 2013Theory of self-learning $Q$-matrix 2007Skills Diagnosis Using IRT‐Based Latent Class Models 2016Assessing Change in Latent Skills Across Time With Longitudinal Cognitive Diagnosis Modeling: An Evaluation of Model Performance

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