
doi: 10.1007/bf02296133
Hierarchical Bayes procedures for the two-parameter logistic item response model were compared for estimating item and ability parameters. Simulated data sets were analyzed via two joint and two marginal Bayesian estimation procedures. The marginal Bayesian estimation procedures yielded consistently smaller root mean square differences than the joint Bayesian estimation procedures for item and ability estimates. As the sample size and test length increased, the four Bayes procedures yielded essentially the same result.
item and ability parameters, hierarchical prior, marginal Bayesian estimation, Bayesian inference, hierarchical Bayes procedures, joint Bayesian estimation, root mean square differences, two-parameter logistic item response model, Applications of statistics to psychology
item and ability parameters, hierarchical prior, marginal Bayesian estimation, Bayesian inference, hierarchical Bayes procedures, joint Bayesian estimation, root mean square differences, two-parameter logistic item response model, Applications of statistics to psychology
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