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ERIC Number: EJ951507
Record Type: Journal
Publication Date: 2012-Jan
Pages: 26
Abstractor: As Provided
Reference Count: 21
ISSN: ISSN-0033-3123
Generalizations of Paradoxical Results in Multidimensional Item Response Theory
Jordan, Pascal; Spiess, Martin
Psychometrika, v77 n1 p127-152 Jan 2012
Maximum likelihood and Bayesian ability estimation in multidimensional item response models can lead to paradoxical results as proven by Hooker, Finkelman, and Schwartzman ("Psychometrika" 74(3): 419-442, 2009): Changing a correct response on one item into an incorrect response may produce a higher ability estimate in one dimension. Furthermore, the conditions under which this paradox arises are very general, and may in fact be fulfilled by many of the multidimensional scales currently in use. This paper tries to emphasize and extend the generality of the results of Hooker et al. by (1) considering the paradox in a generalized class of IRT models, (2) giving a weaker sufficient condition for the occurrence of the paradox with relations to an important concept of statistical association, and by (3) providing some additional specific results for linearly compensatory models with special emphasis on the factor analysis model.
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Publication Type: Journal Articles; Opinion Papers
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A