Assessing the Dimensionality of the Latent Attribute Space in Cognitive Diagnosis Through Testing for Conditional Independence

Youn Seon Lim, Fritz Drasgow

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Cognitive diagnosis seeks to assess an examinee’s mastery of a set of cognitive skills called (latent) attributes. The entire set of attributes characterizing a particular ability domain is often referred to as the latent attribute space. The correct specification of the latent attribute space is essential in cognitive diagnosis because misspecifications of the latent attribute space result in inaccurate parameter estimates, and ultimately, in the incorrect assessment of examinees’ ability. Misspecifications of the latent attribute space typically lead to violations of conditional independence. In this article, the Mantel-Haenszel statistic (Lim & Drasgow in J Classif, 2019) is implemented to detect possible misspecifications of the latent attribute space by checking for conditional independence of the items of a test with parametric cognitive diagnosis models. The performance of the Mantel-Haenszel statistic is evaluated in simulation studies based on its Type-I-error rate and power.

Original languageEnglish (US)
Title of host publicationQuantitative Psychology - 83rd Annual Meeting of the Psychometric Society, 2018
EditorsMarie Wiberg, Steven Culpepper, Rianne Janssen, Dylan Molenaar, Jorge González
PublisherSpringer New York LLC
Pages183-194
Number of pages12
ISBN (Print)9783030013097
DOIs
StatePublished - Jan 1 2019
Event83rd Annual meeting of the Psychometric Society, 2018 - New York, United States
Duration: Jul 9 2018Jul 13 2018

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume265
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference83rd Annual meeting of the Psychometric Society, 2018
CountryUnited States
CityNew York
Period7/9/187/13/18

Keywords

  • Cognitive diagnosis model
  • Dimensionality
  • Mantel-haenszel statistic

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Lim, Y. S., & Drasgow, F. (2019). Assessing the Dimensionality of the Latent Attribute Space in Cognitive Diagnosis Through Testing for Conditional Independence. In M. Wiberg, S. Culpepper, R. Janssen, D. Molenaar, & J. González (Eds.), Quantitative Psychology - 83rd Annual Meeting of the Psychometric Society, 2018 (pp. 183-194). (Springer Proceedings in Mathematics and Statistics; Vol. 265). Springer New York LLC. https://doi.org/10.1007/978-3-030-01310-3_17