NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ856002
Record Type: Journal
Publication Date: 2009-Sep
Pages: 24
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0033-3123
Paradoxical Results in Multidimensional Item Response Theory
Hooker, Giles; Finkelman, Matthew; Schwartzman, Armin
Psychometrika, v74 n3 p419-442 Sep 2009
In multidimensional item response theory (MIRT), it is possible for the estimate of a subject's ability in some dimension to decrease after they have answered a question correctly. This paper investigates how and when this type of paradoxical result can occur. We demonstrate that many response models and statistical estimates can produce paradoxical results and that in the popular class of linearly compensatory models, maximum likelihood estimates are guaranteed to do so. In light of these findings, the appropriateness of multidimensional item response methods for assigning scores in high-stakes testing is called into question.
Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A