arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.06807stat.ME
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一种柔性参数加速失效时间模型

A flexible parametric accelerated failure time model

Michael J. Crowther, Patrick Royston, Mark Clements

摘要:

加速失效时间(AFT)模型在医学研究中得到了广泛的应用,尽管其应用程度远低于比例风险模型。在AFT模型中,协变量的作用是加速或减速至关注事件的时间,即缩短或延长至事件的时间。常用的参数AFT模型在它们可以捕获的基础形状方面受到限制。在这篇文章中,我们提出了一个通用的参数AFT模型,特别是集中使用限制三次样条建模的基线,以提供很大的灵活性。然后,我们扩展模型,以适应时间依赖的加速因素。也允许延迟进入,因此,时间依赖性协变量。我们通过模拟评估所提出的模型,显示出实质性的改进相比,标准的参数AFT模型。我们还通过分析和模拟表明,AFT模型是可折叠的,这表明该模型类将非常适合于因果推断。我们用乳腺癌患者的数据集说明了这些方法。提供用户友好的Stata和R软件包。

英文摘要:

Accelerated failure time (AFT) models are used widely in medical research, though to a much lesser extent than proportional hazards models. In an AFT model, the effect of covariates act to accelerate or decelerate the time to event of interest, i.e. shorten or extend the time to event. Commonly used parametric AFT models are limited in the underlying shapes that they can capture. In this article, we propose a general parametric AFT model, and in particular concentrate on using restricted cubic splines to model the baseline to provide substantial flexibility. We then extend the model to accommodate time-dependent acceleration factors. Delayed entry is also allowed, and hence, time-dependent covariates. We evaluate the proposed model through simulation, showing substantial improvements compared to standard parametric AFT models. We also show analytically and through simulations that the AFT models are collapsible, suggesting that this model class will be well suited to causal inference. We illustrate the methods with a dataset of patients with breast cancer. User friendly Stata and R software packages are provided.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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