Assessing Fit of the Lognormal Model for Response Times

Sandip Sinharay and Peter W. van Rijn
Additional contact information
Sandip Sinharay: 6729Educational Testing Service
Peter W. van Rijn: 452225ETS Global

Journal of Educational and Behavioral Statistics, 2020, vol. 45, issue 5, 534-568

Abstract: 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.

Keywords: χ 2 statistics; multivariate normal distribution; time intensity parameter (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:45:y:2020:i:5:p:534-568

DOI: 10.3102/1076998620911935

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