Assessing Fit of the Lognormal Model for Response Times

Response time models (RTMs) are of increasing interest in educational and psychological testing. This article focuses on the lognormal model for response times, which is one of the most popular RTMs. Several existing statistics for testing normality and the fit of factor analysis models are repurpos...

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Bibliographic Details
Published in:Journal of educational and behavioral statistics 2020-10, Vol.45 (5), p.534-568
Main Authors: Sinharay, Sandip, van Rijn, Peter W.
Format: Article
Language:English
Subjects:
Educational Testing
Educational tests & measurements
Factor Analysis
Goodness of Fit
Markov Processes
Monte Carlo Methods
Normal distribution
Psychological Testing
Psychological tests
Reaction Time
Response time
Test Items
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Summary:Response time models (RTMs) are of increasing interest in educational and psychological testing. This article focuses on the lognormal model for response times, which is one of the most popular RTMs. Several existing statistics for testing normality and the fit of factor analysis models are repurposed for testing the fit of the lognormal model. A simulation study and two real data examples demonstrate the usefulness of the statistics. The Shapiro–Wilk test of normality and a z-test for factor analysis models were the most powerful in assessing the misfit of the lognormal model.
ISSN:1076-9986
1935-1054
DOI:10.3102/1076998620911935