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 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. [For the corresponding grantee submission, see ED603049.]