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An Empirical Study of the Effects of Small Datasets and Varying Prior Variances on Item Parameter Estimation in BILOG.
Peer reviewed Peer reviewed
Harwell, Michael R.; Janosky, Janine E. – Applied Psychological Measurement, 1991
Investigates the BILOG computer program's ability to recover known item parameters for different numbers of items, examinees, and variances of the prior distributions of discrimination parameters for the two-parameter logistic item-response theory model. For samples of at least 250 examinees and 15 items, simulation results support using BILOG.…
Descriptors: Bayesian Statistics, Computer Simulation, Estimation (Mathematics), Item Response Theory
Recovery of Marginal Maximum Likelihood Estimates in the Two-Parameter Logistic Response Model: An Evaluation of MULTILOG.
Peer reviewed Peer reviewed
Stone, Clement A. – Applied Psychological Measurement, 1992
Monte Carlo methods are used to evaluate marginal maximum likelihood estimation of item parameters and maximum likelihood estimates of theta in the two-parameter logistic model for varying test lengths, sample sizes, and assumed theta distributions. Results with 100 datasets demonstrate the methods' general precision and stability. Exceptions are…
Descriptors: Computer Software Evaluation, Estimation (Mathematics), Mathematical Models, Maximum Likelihood Statistics
Sequential Reliability Tests.
Peer reviewed Peer reviewed
Eiting, Mindert H. – Applied Psychological Measurement, 1991
A method is proposed for sequential evaluation of reliability of psychometric instruments. Sample size is unfixed; a test statistic is computed after each person is sampled and a decision is made in each stage of the sampling process. Results from a series of Monte-Carlo experiments establish the method's efficiency. (SLD)
Descriptors: Computer Simulation, Equations (Mathematics), Estimation (Mathematics), Mathematical Models