ERIC Number: ED329584
Record Type: RIE
Publication Date: 1990-Dec
Reference Count: N/A
On the Assessment of Dimensionality in Multidimensional Item Response Theory Models. Research Report 90-8.
Berger, Martijn P. F.; Knol, Dirk L.
The assessment of dimensionality of data is important to item response theory (IRT) modelling and other multidimensional data analysis techniques. The fact that the parameters from the factor analysis formulation for dichotomous data can be expressed in terms of the parameters in the multidimensional IRT model suggests that the assessment of the dimensionality of the latent trait space can also be approached from the factor analytical viewpoint. Some problems connected with the assessment of the dimensionality of the latent space are discussed, and the conclusions are supported by simulated results for sample sizes of 250 and 500 on a 15-item test. Five tables contain data from the simulation; and 48 graphs illustrate eigenvalues and plotted mean residuals. A 46-item list of references is included. (Author/SLD)
Descriptors: Computer Simulation, Data Analysis, Equations (Mathematics), Factor Analysis, Foreign Countries, Item Response Theory, Mathematical Models
Bibliotheek, Department of Education, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands.
Publication Type: Reports - Evaluative
Education Level: N/A
Authoring Institution: Twente Univ., Enschede (Netherlands). Dept. of Education.
Identifiers: Dimensionality (Tests); Eigenvalues; Multidimensional Models