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Warrens, Matthijs J.; de Gruijter, Dato N. M.; Heiser, Willem J. – Applied Psychological Measurement, 2007
In this article, the relationship between two alternative methods for the analysis of multivariate categorical data is systematically explored. It is shown that the person score of the first dimension of classical optimal scaling correlates strongly with the latent variable for the two-parameter item response theory (IRT) model. Next, under the…
Descriptors: Scaling, Evaluation Methods, Item Response Theory, Comparative Analysis
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de Gruijter, Dato N. M. – Applied Psychological Measurement, 1990
Following a brief discussion of test construction by linear programing, the results of a study by F. B. Baker and others (1988) with respect to a uniform target is replicated. It is demonstrated that the result depends on characteristics of the item pool. (SLD)
Descriptors: Item Response Theory, Linear Programing, Mathematical Models, Test Construction
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de Gruijter, Dato N. M. – Applied Psychological Measurement, 1988
Derivation of asymptotic variance-covariance matrices for item and personal parameters in item response models is demonstrated for one- and two-parameter models using maximum likelihood estimation. The results can be used in incomplete designs and in estimation of the accuracy of various designs beforehand. (TJH)
Descriptors: Analysis of Covariance, Analysis of Variance, Equations (Mathematics), Error of Measurement
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de Gruijter, Dato N. M. – Applied Psychological Measurement, 1994
The nonparametric Mokken model of test data was compared with parametric models using simulated data through latent class analysis. It is demonstrated that latent class analysis provides a consistent comparison of item response models. (SLD)
Descriptors: Comparative Analysis, Computer Simulation, Item Response Theory, Nonparametric Statistics