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

Chia Yi Chiu, Hans Friedrich Köhn, Wenchao Ma

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)656-671
Number of pages16
JournalPsychometrika
Volume88
Issue number2
DOIs
StatePublished - Jun 2023

Keywords

  • BLIM
  • Cognitive diagnosis
  • DINA Model
  • knowledge space theory
  • poLIM
  • polytomous DINA model

ASJC Scopus subject areas

  • Applied Mathematics
  • General Psychology

Cite this