Response-time models are of increasing interest in educational and psychological testing. This paper focuses on the lognormal model for response times (van der Linden, 2006), which is one of the most popular response-time models. 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 (Shapiro & Wilk, 1965) and a Z-test for factor analysis models (Maydeu-Olivares, 2017) were the most powerful in assessing the misfit of the lognormal model. [This is the in-press version of an article published in "Journal of Educational and Behavioral Statistics."]