ERIC Number: ED428100
Record Type: Non-Journal
Publication Date: 1998
Reference Count: N/A
MCMC Estimation of Multidimensional IRT Models. Research Report 98-14.
Beguin, Anton A.; Glas, Cees A. W.
A Bayesian procedure to estimate the three-parameter normal ogive model and a generalization to a model with multidimensional ability parameters are discussed. The procedure is a generalization of a procedure by J. Albert (1992) for estimating the two-parameter normal ogive model. The procedure will support multiple samples from multiple populations and restrictions on the factor matrix for testing specific hypotheses about the ability structure. The technique is illustrated using simulated and real data. A Markov chain Monte Carlo (MCMC) procedure is used to sample the posterior distributions of interest and needed chains are constructed using the Gibbs sampler (A. Gelfand and A. Smith, 1990). (Contains 8 tables and 47 references.) (Author/SLD)
Descriptors: Ability, Bayesian Statistics, Estimation (Mathematics), Item Response Theory, Markov Processes, Monte Carlo Methods, 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.