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Commentary on “Extending the Basic Local Independence Model to Polytomous Data” by Stefanutti, de Chiusole, Anselmi, and Spoto

Published online by Cambridge University Press:  01 January 2025

Chia-Yi Chiu Open the ORCID record for Chia-Yi Chiu [Opens in a new window] ,
Hans Friedrich Köhn  and
Wenchao Ma
Chia-Yi Chiu*
Affiliation:
University of Minnesota
Hans Friedrich Köhn
Affiliation:
University of Illinois at Urbana-Champaign
Wenchao Ma
Affiliation:
University of Alabama
*
Correspondence should be made to Chia-Yi Chiu, University of Minnesota, Minneapolis, MN, USA. Email: cchiucchiu@umn.edu
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Abstract

The Polytomous Local Independence Model (PoLIM) by Stefanutti, de Chiusole, Anselmi, and Spoto, is an extension of the Basic Local Independence Model (BLIM) to accommodate polytomous items. BLIM, a model for analyzing responses to binary items, is based on Knowledge Space Theory, a framework developed by cognitive scientists and mathematical psychologists for modeling human knowledge acquisition and representation. The purpose of this commentary is to show that PoLIM is simply a paraphrase of a DINA model in cognitive diagnosis for polytomous items. Specifically, BLIM is shown to be equivalent to the DINA model when the BLIM-items are conceived as binary single-attribute items, each with a distinct attribute; thus, PoLIM is equivalent to the DINA for polytomous single-attribute items, each with a distinct attribute.

Keywords

Cognitive diagnosisknowledge space theoryDINA ModelBLIMpolytomous DINA modelpoLIM
Type
Theory and Methods
Information
Psychometrika , Volume 88 , Issue 2 , June 2023 , pp. 656 - 671
Copyright
Copyright © 2022 The Author(s) under exclusive licence to The Psychometric Society

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