ERIC Number: EJ720516
Record Type: Journal
Publication Date: 2005-Sep
Reference Count: 14
A Relation Between a Between-Item Multidimensional IRT Model and the Mixture Rasch Model
Rijmen, Frank; De Boeck, Paul
Psychometrika, v70 n3 p481-496 Sep 2005
Two generalizations of the Rasch model are compared: the between-item multidimensional model (Adams, Wilson, and Wang, 1997), and the mixture Rasch model (Mislevy & Verhelst, 1990; Rost, 1990). It is shown that the between-item multidimensional model is formally equivalent with a continuous mixture of Rasch models for which, within each class of the mixture, the item parameters are equal to the item parameters of the multidimensional model up to a shift parameter that is specific for the dimension an item belongs to in the multidimensional model. In a simulation study, the relation between both types of models also holds when the number of classes of the mixture is as small as two. The relation is illustrated with a study on verbal aggression.
Descriptors: Simulation, Item Response Theory, Comparative Analysis, Models, Aggression, Verbal Communication
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Authoring Institution: N/A