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On the Link between Cognitive Diagnostic Models and Knowledge Space Theory

Published online by Cambridge University Press:  01 January 2025

Jürgen Heller ,
Luca Stefanutti ,
Pasquale Anselmi  and
Egidio Robusto
Jürgen Heller*
Affiliation:
University of Tübingen
Luca Stefanutti
Affiliation:
University of Padova
Pasquale Anselmi
Affiliation:
University of Padova
Egidio Robusto
Affiliation:
University of Padova
*
Correspondence should be made to Jürgen Heller, Department of Psychology, University of Tübingen, Schleichstr. 4, 72076 Tübingen, Germany. Email: juergen.heller@uni-tuebingen.de
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Abstract

The present work explores the connections between cognitive diagnostic models (CDM) and knowledge space theory (KST) and shows that these two quite distinct approaches overlap. It is proved that in fact the Multiple Strategy DINA (Deterministic Input Noisy AND-gate) model and the CBLIM, a competence-based extension of the basic local independence model (BLIM), are equivalent. To demonstrate the benefits that arise from integrating the two theoretical perspectives, it is shown that a fairly complete picture on the identifiability of these models emerges by combining results from both camps. The impact of the results is illustrated by an empirical example, and topics for further research are pointed out.

Keywords

knowledge structurelatent class modelDINADINOMS-DINAskill multimapproblem functionskill functionlocal identifiability

Information

Type
Original Paper
Information
Psychometrika , Volume 80 , Issue 4 , December 2015 , pp. 995 - 1019
Copyright
Copyright © 2015 The Psychometric Society

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