ERIC Number: ED428102
Record Type: Non-Journal
Publication Date: 1998
Multi-level IRT with Measurement Error in the Predictor Variables. Research Report 98-16.
Fox, Jean-Paul; Glas, Cees A. W.
A two-level regression model is imposed on the ability parameters in an item response theory (IRT) model. The advantage of using latent rather than observed scores as dependent variables of a multilevel model is that this offers the possibility of separating the influence of item difficulty and ability level and modeling response variation and measurement error. Another advantage is that, contrary to observed scores, latent scores are test-independent, which offers the possibility of entering results from different tests in one analysis. Further, it will be shown through simulation that problems of measurement error in covariates in multilevel models can also be solved in the framework of IRT-multilevel modeling. The two-parameter normal ogive model is used for the IRT measurement model in this study, and it is shown that the parameters of the two-parameter normal ogive model and the multilevel model can be estimated simultaneously in a Bayesian framework using Gibbs sampling. Various examples using simulated data are given. (Contains 3 tables, 1 figure, and 28 references.) (Author/SLD)
Descriptors: Ability, Bayesian Statistics, Difficulty Level, Error of Measurement, Item Response Theory, Predictor Variables, Regression (Statistics), Responses, Simulation
Faculty of Educational Science and Technology, 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). Faculty of Educational Science and Technology.