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A Hierarchical Framework for Modeling Speed and Accuracy on Test Items

Bibliographic Data

ID23326804
AuthorsWim J van der Linden (University of Twente, corresponding author)
Year2007
Volume72
Issue3
Pages287-308
Publication date2007-09-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenuePsychometrika (JOURNAL)
Journal identifiersISSN: 0033-3123 • E-ISSN: 1860-0980
PublisherCambridge University Press (CUP) (PUBLISHER)
DOI10.1007/s11336-006-1478-z
OpenAlexW2154372487
LanguageEN
Citations received58
References cited23

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 models seem to be unclear as to the level of parametrization they represent. A hierarchical framework for modeling speed and accuracy on test items is presented as an alternative to these models. The framework allows a “plug-and-play approach” with alternative choices of models for the response and response-time distributions as well as the distributions of their parameters. Bayesian treatment of the framework with Markov chain Monte Carlo (MCMC) computation facilitates the approach. Use of the framework is illustrated for the choice of a normal-ogive response model, a lognormal model for the response times, and multivariate normal models for their parameters with Gibbs sampling from the joint posterior distribution.

Bayesian probability · Data mining · Gibbs sampling · Hierarchical database model · Item response theory · Markov chain Monte Carlo · Monte Carlo method · Parametrization (atmospheric modeling) · Psychometrics · Statistics · Artificial Intelligence · Computer Science · Mathematics · Mental Health Research Topics · Psychometric Methodologies and Testing · Statistical Methods and Bayesian Inference

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Unique citing works58
Citations per year4,14
Citation span2012 - 2026 (15)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 54

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