A Lognormal Model for Response Times on Test Items

Autor/in	van der Linden, Wim J.
Titel	A Lognormal Model for Response Times on Test Items
Quelle	In: Journal of Educational and Behavioral Statistics, 31 (2006) 2, S.181-204 (24 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1076-9986
Schlagwörter	Test Items; Vocational Aptitude; Reaction Time; Markov Processes; Item Response Theory; Models; Monte Carlo Methods; Test Validity; Goodness of Fit; Testing; Armed Services Vocational Aptitude Battery + Suchen Sie Ihr Suchwort? Test content; Testaufgabe; Ausbildungseignung; Berufseignung; Reaktionsvermögen; Markowscher Prozess; Item-Response-Theorie; Analogiemodell; Monte-Carlo-Methode; Testvalidität; Testdurchführung; Testen
Abstract	A lognormal model for the response times of a person on a set of test items is investigated. The model has a parameter structure analogous to the two-parameter logistic response models in item response theory, with a parameter for the speed of each person as well as parameters for the time intensity and discriminating power of each item. It is shown how these parameters can be estimated by a Markov chain Monte Carlo method (Gibbs sampler). The method was used to analyze response times for the adaptive version of a test from the Armed Services Vocational Aptitude Battery. The same data set was used to test the validity of the model against a normal model using posterior predictive checks on the response times. The lognormal model showed an excellent fit to the data, whereas the normal model seemed unable to allow for a characteristic skewness of the response time distributions. The addition of an equality constraint on the discrimination parameters led only to a slight loss of fit. The potential use of the model for improving the daily practice of testing is indicated. (Author).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10