ERIC Number: EJ1092628
Record Type: Journal
Publication Date: 2016-Apr
Abstractor: As Provided
Partially Compensatory Multidimensional Item Response Theory Models: Two Alternate Model Forms
DeMars, Christine E.
Educational and Psychological Measurement, v76 n2 p231-257 Apr 2016
Partially compensatory models may capture the cognitive skills needed to answer test items more realistically than compensatory models, but estimating the model parameters may be a challenge. Data were simulated to follow two different partially compensatory models, a model with an interaction term and a product model. The model parameters were then estimated for both models and for the compensatory model. Either the model used to simulate the data or the compensatory model generally had the best fit, as indexed by information criteria. Interfactor correlations were estimated well by both the correct model and the compensatory model. The predicted response probabilities were most accurate from the model used to simulate the data. Regarding item parameters, root mean square errors seemed reasonable for the interaction model but were quite large for some items for the product model. Thetas were recovered similarly by all models, regardless of the model used to simulate the data.
Descriptors: Item Response Theory, Models, Thinking Skills, Test Items, Simulation, Goodness of Fit, Correlation, Probability, Accuracy, Computation, Multivariate Analysis
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Publication Type: Journal Articles; Reports - Research
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