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On Compensation in Multidimensional Response Modeling
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van der Linden, Wim J. – Psychometrika, 2012
The issue of compensation in multidimensional response modeling is addressed. We show that multidimensional response models are compensatory in their ability parameters if and only if they are monotone. In addition, a minimal set of assumptions is presented under which the MLEs of the ability parameters are also compensatory. In a recent series of…
Descriptors: Models, Maximum Likelihood Statistics, Scoring
Statistical Tests of Conditional Independence between Responses and/or Response Times on Test Items
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van der Linden, Wim J.; Glas, Cees A. W. – Psychometrika, 2010
Three plausible assumptions of conditional independence in a hierarchical model for responses and response times on test items are identified. For each of the assumptions, a Lagrange multiplier test of the null hypothesis of conditional independence against a parametric alternative is derived. The tests have closed-form statistics that are easy to…
Descriptors: Test Items, Computation, Responses, Reaction Time
Modeling Rule-Based Item Generation
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Geerlings, Hanneke; Glas, Cees A. W.; van der Linden, Wim J. – Psychometrika, 2011
An application of a hierarchical IRT model for items in families generated through the application of different combinations of design rules is discussed. Within the families, the items are assumed to differ only in surface features. The parameters of the model are estimated in a Bayesian framework, using a data-augmented Gibbs sampler. An obvious…
Descriptors: Simulation, Intelligence Tests, Item Response Theory, Models
A Hierarchical Framework for Modeling Speed and Accuracy on Test Items
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van der Linden, Wim J. – Psychometrika, 2007
Current modeling of response times on test items has been strongly influenced by the paradigm of experimental reaction-time research in psychology. For instance, some of the models have a parameter structure that was chosen to represent a speed-accuracy tradeoff, while others equate speed directly with response time. Also, several response-time…
Descriptors: Test Items, Reaction Time, Markov Processes, Item Response Theory
The Linear Utility Model for Optimal Selection.
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Mellenbergh, Gideon J.; van der Linden, Wim J. – Psychometrika, 1981
A linear utility model is introduced for optimal selection where several subpopulations of applicants are to be distinguished. Using this model, procedures are described for obtaining optimal cutting scores in subpopulations in quota-free as well as quota-restricted selection situations. The procedures are demonstrated with empirical data.…
Descriptors: Culture Fair Tests, Cutting Scores, Mathematical Models, Selection
A Maximin Model for Test Design with Practical Constraints.
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van der Linden, Wim J.; Boekkooi-Timminga, Ellen – Psychometrika, 1989
A maximin model for test design based on item response theory is proposed. Only the relative shape of target test information function is specified. It serves as a constraint subject to which a linear programing algorithm maximizes the test information. The model is illustrated, and alternative models are discussed. (TJH)
Descriptors: Algorithms, Latent Trait Theory, Linear Programing, Mathematical Models
Using Aptitude Measurements for the Optimal Assignment of Subjects to Treatments with and without Mastery Scores.
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van der Linden, Wim J. – Psychometrika, 1981
Decision rules for assigning students to treatments based upon aptitudes or criterion scores are discussed. Popular procedures are criticized and a Bayesian approach is recommended. The effect of unreliability of aptitude or criterion scores is also discussed. (JKS)
Descriptors: Aptitude Treatment Interaction, Criterion Referenced Tests, Cutting Scores, Decision Making