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Speed-Accuracy Response Models: Scoring Rules based on Response Time and Accuracy

Published online by Cambridge University Press:  01 January 2025

Gunter Maris  and
Han van der Maas
Gunter Maris*
Affiliation:
Cito – University of Amsterdam
Han van der Maas
Affiliation:
University of Amsterdam
*
Requests for reprints should be sent to Gunter Maris, Cito – University of Amsterdam, Arnhem, The Netherlands. E-mail: Gunter.Maris@cito.nl
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Abstract

Starting from an explicit scoring rule for time limit tasks incorporating both response time and accuracy, and a definite trade-off between speed and accuracy, a response model is derived. Since the scoring rule is interpreted as a sufficient statistic, the model belongs to the exponential family. The various marginal and conditional distributions for response accuracy and response time are derived, and it is shown how the model parameters can be estimated. The model for response accuracy is found to be the two-parameter logistic model. It is found that the time limit determines the item discrimination, and this effect is illustrated with the Amsterdam Chess Test II.

Keywords

item response theoryresponse timestwo-parameter logistic modelscoring rule
Type
Original Paper
Information
Psychometrika , Volume 77 , Issue 4 , October 2012 , pp. 615 - 633
Copyright
Copyright © 2012 The Psychometric Society

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