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.

中文翻译：

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评估对数正态模型的响应时间拟合

响应时间模型（RTM）在教育和心理测试中越来越受关注。本文重点介绍响应时间的对数正态模型，它是最流行的RTM之一。现有的一些用于测试正态性和因子分析模型拟合的统计数据被重新用于测试对数正态模型的拟合。一项仿真研究和两个实际数据示例证明了统计数据的有效性。Shapiro-Wilk正态性检验和因子分析模型的z检验在评估对数正态模型的不匹配性方面最有效。