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Kim, Seock-Ho – 1998
The accuracy of the Markov chain Monte Carlo procedure, Gibbs sampling, was considered for estimation of item and ability parameters of the one-parameter logistic model. Four data sets were analyzed to evaluate the Gibbs sampling procedure. Data sets were also analyzed using methods of conditional maximum likelihood, marginal maximum likelihood,…
Descriptors: Ability, Estimation (Mathematics), Item Response Theory, Markov Processes
de la Torre, Jimmy; Patz, Richard J. – 2001
This paper seeks to extend the application of Markov chain Monte Carlo (MCMC) methods in item response theory (IRT) to include the estimation of equating relationships along with the estimation of test item parameters. A method is proposed that incorporates estimation of the equating relationship in the item calibration phase. Item parameters from…
Descriptors: Achievement Tests, Bayesian Statistics, Equated Scores, Estimation (Mathematics)