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A Mixture Proportional Hazards Model With Random Effects for Response Times in Tests

机译：测试中响应时间具有随机效应的混合比例风险模型

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摘要

In this article, a new model for test response times is proposed that combines latent class analysis and the proportional hazards model with random effects in a similar vein as the mixture factor model. The model assumes the existence of different latent classes. In each latent class, the response times are distributed according to a class-specific proportional hazards model. The class-specific proportional hazards models relate the response times of each subject to his or her work pace, which is considered as a random effect. The latent class extension of the proportional hazards model allows for differences in response strategies between subjects. The differences can be captured in the hazard functions, which trace the progress individuals make over time when working on an item. The model can be calibrated with marginal maximum likelihood estimation. The fit of the model can either be assessed with information criteria or with a test of model fit. In a simulation study, the performance of the proposed approaches to model calibration and model evaluation is investigated. Finally, the model is used for a real data set.
机译：在本文中，提出了一个新的测试响应时间模型，该模型结合了潜在类别分析和比例风险模型以及与混合因子模型相似的随机效应。该模型假定存在不同的潜在类。在每个潜在类别中，响应时间根据特定类别的比例风险模型进行分配。特定于类别的比例风险模型将每个受试者的响应时间与他或她的工作节奏相关联，这被认为是随机效应。比例风险模型的潜在类别扩展允许受试者之间的应对策略有所不同。可以在危险功能中捕获差异，该功能跟踪个人在处理项目时随时间推移所取得的进展。可以使用边际最大似然估计来校准模型。可以使用信息标准或模型拟合测试来评估模型的拟合。在仿真研究中，研究了所提出的模型校准和模型评估方法的性能。最后，该模型用于真实数据集。

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