Mixture models have been developed to enable detection of within-subject differences in responses and response times to psychometric test items. To enable mixture modeling of both responses and response times, a distributional assumption is needed for the within-state response time distribution. Since violations of the assumed response time distribution may bias the modeling results, choosing an appropriate within-state distribution is important. However, testing this distributional assumption is challenging as the latent within-state response time distribution is by definition different from the observed distribution. Therefore, existing tests on the observed distribution cannot be used. In this article, we propose statistical tests on the within-state response time distribution in a mixture modeling framework for responses and response times. We investigate the viability of the newly proposed tests in a simulation study, and we apply the test to a real data set.

已经开发了混合物模型以能够检测受试者对心理测验项目的反应和反应时间的差异。为了能够对响应时间和响应时间进行混合建模，状态内响应时间分布需要一个分布假设。由于违反假定的响应时间分布可能会使建模结果产生偏差，因此选择适当的状态内分布很重要。但是，测试此分布假设很有挑战性，因为根据定义，潜在的状态内响应时间分布与观察到的分布不同。因此，无法使用对观察到的分布的现有测试。在本文中，我们建议在响应和响应时间的混合建模框架中对状态内响应时间分布进行统计测试。