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Autor/inBartolucci, Francesco
TitelA Class of Multidimensional IRT Models for Testing Unidimensionality and Clustering Items
QuelleIn: Psychometrika, 72 (2007) 2, S.141-157 (17 Seiten)
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Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN0033-3123
DOI10.1007/s11336-005-1376-9
SchlagwörterSimulation; National Competency Tests; Item Response Theory; Models; Hypothesis Testing; Multivariate Analysis; Educational Assessment; Psychometrics; Maximum Likelihood Statistics; Standardized Tests; Elementary Secondary Education
AbstractWe illustrate a class of multidimensional item response theory models in which the items are allowed to have different discriminating power and the latent traits are represented through a vector having a discrete distribution. We also show how the hypothesis of unidimensionality may be tested against a specific bidimensional alternative by using a likelihood ratio statistic between two nested models in this class. For this aim, we also derive an asymptotically equivalent Wald test statistic which is faster to compute. Moreover, we propose a hierarchical clustering algorithm which can be used, when the dimensionality of the latent structure is completely unknown, for dividing items into groups referred to different latent traits. The approach is illustrated through a simulation study and an application to a dataset collected within the National Assessment of Educational Progress, 1996. (Author).
AnmerkungenSpringer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2017/4/10
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