Cognitive Assessment: An Introduction to the Rule Space Method

Kikumi K. Tatsuoka

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

Abstract

1. Dimensionality of Test Data and Aberrant Response Patterns. 2. Parametric Person-fit Statistics, Zeta z and Generalized Zetas z1,... zm. 3. Cognitive Modeling by Developing an Incidence Matrix Q. 4. Knowledge Space Generated from a Q-matrix. 5. A Classification Space: Rule Space as a Cartesian Product of the Person Parameter q in Item Response Theory, z and Generalized Zetas. 6. Classification Rules. 7. Rule Space Decision Rules and Attribute Mastery Probabilities. 8. Posterior Probabilities with Different Prior Probabilities and Their Effect on the Attribute Mastery Probabilities. 9. Reliability of Items, Persons, and Their Relationship to the Classical Test Theory. 10. Validation of Attributes, a Q-Matrix Coded by the Involvement of Attributes to Items and a Test. 11. References.

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2015Identifiability of Diagnostic Classification Models 2013Theory of self-learning $Q$-matrix 2013A Systematic Review of the Methodology for Person Fit Research in Item Response Theory: Lessons about Generalizability of Inferences from the Design of Simulation Studies 2015Attribute‐Level and Pattern‐Level Classification Consistency and Accuracy Indices for Cognitive Diagnostic Assessment 2017On the assessment of learning in competence based knowledge space theory 2013A Matrix Factorization Method for Mapping Items to Skills and for Enhancing Expert-Based Q-Matrices 2019On the Identifiability of Diagnostic Classification Models 2012The Psychometric Modeling of Ordered Multiple-Choice Item Responses For Diagnostic Assessment With A Learning Progression

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