Assessing Fit of the Lognormal Model for Response Times
Assessing Fit of the Lognormal Model for Response Times
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DOI：
10.3102/1076998620911935
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发表时间：
2020-01
影响因子：
2.4
通讯作者：
S. Sinharay;P. V. van Rijn
中科院分区：
文献类型：
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作者：
S. Sinharay;P. V. van Rijn
反应时间模型(RTM)在教育和心理测试中受到越来越多的关注。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。为了检验对数正态分布模型的适合性，对现有的几种检验正态分布和因子分析模型适合性的统计量进行了重新定义。仿真研究和两个实际数据实例证明了该统计方法的有效性。正态分布的Shapiro-Wilk检验和因子分析模型的z检验在评价对数正态模型的失配性方面最有效。
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.