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The Influence of Multidimensionality on the Graded Response Model.
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De Ayala, R. J. – 1993
Previous work on the effects of dimensionality on parameter estimation was extended from dichotomous models to the polytomous graded response (GR) model. A multidimensional GR model was developed to generate data in one-, two-, and three-dimensions, with two- and three-dimensional conditions varying in their interdimensional associations. Test…
Descriptors: Computer Simulation, Correlation, Difficulty Level, Estimation (Mathematics)
The Influence of Dimensionality on CAT Ability Estimation.
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De Ayala, R. J. – Educational and Psychological Measurement, 1992
Effects of dimensionality on ability estimation of an adaptive test were examined using generated data in Bayesian computerized adaptive testing (CAT) simulations. Generally, increasing interdimensional difficulty association produced a slight decrease in test length and an increase in accuracy of ability estimation as assessed by root mean square…
Descriptors: Adaptive Testing, Bayesian Statistics, Computer Assisted Testing, Computer Simulation
Effect of the Guessing Parameter on the Estimation of the Item Discrimination and Difficulty Parameters When Three-Parameter Logistic Model Is Assumed.
Samejima, Fumiko – 1986
Item analysis data fitting the normal ogive model were simulated in order to investigate the problems encountered when applying the three-parameter logistic model. Binary item tests containing 10 and 35 items were created, and Monte Carlo methods simulated the responses of 2,000 and 500 examinees. Item parameters were obtained using Logist 5.…
Descriptors: Computer Simulation, Difficulty Level, Guessing (Tests), Item Analysis