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

Chia-Yi Chiu (), Hans Friedrich Köhn and Wenchao Ma
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Chia-Yi Chiu: University of Minnesota
Hans Friedrich Köhn: University of Illinois at Urbana-Champaign
Wenchao Ma: University of Alabama

Psychometrika, 2023, vol. 88, issue 2, No 12, 656-671

Abstract: 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 diagnosis; knowledge space theory; DINA Model; BLIM; polytomous DINA model; poLIM (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s11336-022-09873-7

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