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ERIC Number: EJ1294139
Record Type: Journal
Publication Date: 2021-Jun
Pages: 32
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0013-1644
EISSN: N/A
Performance of the S-X[superscript 2] Statistic for the Multidimensional Graded Response Model
Su, Shiyang; Wang, Chun; Weiss, David J.
Educational and Psychological Measurement, v81 n3 p491-522 Jun 2021
S-X[superscript 2] is a popular item fit index that is available in commercial software packages such as "flex"MIRT. However, no research has systematically examined the performance of S-X[superscript 2] for detecting item misfit within the context of the multidimensional graded response model (MGRM). The primary goal of this study was to evaluate the performance of S-X[superscript 2] under two practical misfit scenarios: first, all items are misfitting due to model misspecification, and second, a small subset of items violate the underlying assumptions of the MGRM. Simulation studies showed that caution should be exercised when reporting item fit results of polytomous items using S-X[superscript 2] within the context of the MGRM, because of its inflated false positive rates (FPRs), especially with a small sample size and a long test. S-X[superscript 2] performed well when detecting overall model misfit as well as item misfit for a small subset of items when the ordinality assumption was violated. However, under a number of conditions of model misspecification or items violating the homogeneous discrimination assumption, even though true positive rates (TPRs) of S-X[superscript 2] were high when a small sample size was coupled with a long test, the inflated FPRs were generally directly related to increasing TPRs. There was also a suggestion that performance of S-X[superscript 2] was affected by the magnitude of misfit within an item. There was no evidence that FPRs for fitting items were exacerbated by the presence of a small percentage of misfitting items among them.
SAGE Publications. 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243; Tel: 805-499-9774; Fax: 800-583-2665; e-mail: journals@sagepub.com; Web site: http://sagepub.com
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: Eunice Kennedy Shriver National Institute of Child Health and Human Development (NICHD) (NIH)
Authoring Institution: N/A
Grant or Contract Numbers: R01HD079439