Examining DIF in the Context of CDMs When the Q-Matrix Is Misspecified

The rise in popularity and use of cognitive diagnostic models (CDMs) in educational research are partly motivated by the models’ ability to provide diagnostic information regarding students’ strengths and weaknesses in a variety of content areas. An important step to ensure appropriate interpretatio...

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Main Authors: Dubravka Svetina, Yanan Feng, Justin Paulsen, Montserrat Valdivia, Arturo Valdivia, Shenghai Dai
Format: Article
Language:English
Published: Frontiers Media S.A. 2018-05-01
Series:Frontiers in Psychology
Subjects:
Online Access:http://journal.frontiersin.org/article/10.3389/fpsyg.2018.00696/full
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author Dubravka Svetina
Yanan Feng
Justin Paulsen
Montserrat Valdivia
Arturo Valdivia
Shenghai Dai
author_facet Dubravka Svetina
Yanan Feng
Justin Paulsen
Montserrat Valdivia
Arturo Valdivia
Shenghai Dai
author_sort Dubravka Svetina
collection DOAJ
description The rise in popularity and use of cognitive diagnostic models (CDMs) in educational research are partly motivated by the models’ ability to provide diagnostic information regarding students’ strengths and weaknesses in a variety of content areas. An important step to ensure appropriate interpretations from CDMs is to investigate differential item functioning (DIF). To this end, the current simulation study examined the performance of three methods to detect DIF in CDMs, with particular emphasis on the impact of Q-matrix misspecification on methods’ performance. Results illustrated that logistic regression and Mantel–Haenszel had better control of Type I error than the Wald test; however, high power rates were found using logistic regression and Wald methods, only. In addition to the tradeoff between Type I error control and acceptable power, our results suggested that Q-matrix complexity and item structures yield different results for different methods, presenting a more complex picture of the methods’ performance. Finally, implications and future directions are discussed.
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spelling doaj.art-3296b7e49bd74513a885231a4fe7df5f2022-12-21T23:34:50ZengFrontiers Media S.A.Frontiers in Psychology1664-10782018-05-01910.3389/fpsyg.2018.00696355597Examining DIF in the Context of CDMs When the Q-Matrix Is MisspecifiedDubravka Svetina0Yanan Feng1Justin Paulsen2Montserrat Valdivia3Arturo Valdivia4Shenghai Dai5Department of Counseling and Educational Psychology, Indiana University Bloomington, Bloomington, IN, United StatesDepartment of Counseling and Educational Psychology, Indiana University Bloomington, Bloomington, IN, United StatesDepartment of Counseling and Educational Psychology, Indiana University Bloomington, Bloomington, IN, United StatesDepartment of Counseling and Educational Psychology, Indiana University Bloomington, Bloomington, IN, United StatesDepartment of Statistics, College of Arts and Sciences, Indiana University Bloomington, Bloomington, IN, United StatesEducational Psychology, College of Education, Washington State University, Pullman, WA, United StatesThe rise in popularity and use of cognitive diagnostic models (CDMs) in educational research are partly motivated by the models’ ability to provide diagnostic information regarding students’ strengths and weaknesses in a variety of content areas. An important step to ensure appropriate interpretations from CDMs is to investigate differential item functioning (DIF). To this end, the current simulation study examined the performance of three methods to detect DIF in CDMs, with particular emphasis on the impact of Q-matrix misspecification on methods’ performance. Results illustrated that logistic regression and Mantel–Haenszel had better control of Type I error than the Wald test; however, high power rates were found using logistic regression and Wald methods, only. In addition to the tradeoff between Type I error control and acceptable power, our results suggested that Q-matrix complexity and item structures yield different results for different methods, presenting a more complex picture of the methods’ performance. Finally, implications and future directions are discussed.http://journal.frontiersin.org/article/10.3389/fpsyg.2018.00696/fullcognitive diagnostic modelsdifferential item functioningQ-matrix misspecificationtest biasvalidity
spellingShingle Dubravka Svetina
Yanan Feng
Justin Paulsen
Montserrat Valdivia
Arturo Valdivia
Shenghai Dai
Examining DIF in the Context of CDMs When the Q-Matrix Is Misspecified
Frontiers in Psychology
cognitive diagnostic models
differential item functioning
Q-matrix misspecification
test bias
validity
title Examining DIF in the Context of CDMs When the Q-Matrix Is Misspecified
title_full Examining DIF in the Context of CDMs When the Q-Matrix Is Misspecified
title_fullStr Examining DIF in the Context of CDMs When the Q-Matrix Is Misspecified
title_full_unstemmed Examining DIF in the Context of CDMs When the Q-Matrix Is Misspecified
title_short Examining DIF in the Context of CDMs When the Q-Matrix Is Misspecified
title_sort examining dif in the context of cdms when the q matrix is misspecified
topic cognitive diagnostic models
differential item functioning
Q-matrix misspecification
test bias
validity
url http://journal.frontiersin.org/article/10.3389/fpsyg.2018.00696/full
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AT montserratvaldivia examiningdifinthecontextofcdmswhentheqmatrixismisspecified
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