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Statistics > Computation

arXiv:1911.00878v1 (stat)
[Submitted on 3 Nov 2019 (this version) , latest version 29 Jul 2020 (v3) ]

Title: Bayesian adaptive N-of-1 trials for estimating population and individual treatment effects

Title: 贝叶斯自适应N-of-1试验用于估计群体和个体治疗效果

Authors:S. G. Jagath Senarathne, Antony M. Overstall, James M. McGree
Abstract: This article presents a novel adaptive design algorithm that can be used to find optimal treatment allocations in N-of-1 clinical trials. This new methodology uses two Laplace approximations to provide a computationally efficient estimate of population and individual random effects within a repeated measures, adaptive design framework. Given the efficiency of this approach, it is also adopted for treatment selection to target the collection of data for the precise estimation of treatment effects. To evaluate this approach, we consider both a simulated and motivating N-of-1 clinical trial from the literature. For each trial, our methods were compared to the multi-armed bandit approach and a randomised N-of-1 trial design for identifying the best treatment for each patient and in terms of the information gained about model parameters. The results show that our new approach selects designs that are highly efficient in achieving each of these objectives. As such, we propose our Laplace-based algorithm as an efficient approach for designing adaptive N-of-1 trials.
Abstract: 本文提出了一种新的自适应设计算法,可用于寻找 N-of-1 临床试验中的最优治疗分配。 该新方法使用两种拉普拉斯近似,在重复测量的自适应设计框架内提供种群和个体随机效应的计算高效估计。 鉴于这种方法的效率,它也被用于治疗选择以针对收集数据来精确估计治疗效果。 为了评估这种方法,我们考虑了文献中一个模拟的和启发性的 N-of-1 临床试验。 对于每个试验,我们的方法与多臂老虎机方法以及随机化 N-of-1 试验设计进行了比较,以识别每种患者的最佳治疗,并衡量关于模型参数的信息获取情况。 结果表明,我们的新方法选择了在实现这些目标方面非常有效的设计。 因此,我们建议基于拉普拉斯的方法作为设计自适应 N-of-1 试验的一种高效方法。
Subjects: Computation (stat.CO) ; Methodology (stat.ME)
Cite as: arXiv:1911.00878 [stat.CO]
  (or arXiv:1911.00878v1 [stat.CO] for this version)
  https://doi.org/10.48550/arXiv.1911.00878
arXiv-issued DOI via DataCite

Submission history

From: Jagath Senarathne [view email]
[v1] Sun, 3 Nov 2019 12:53:41 UTC (850 KB)
[v2] Tue, 5 Nov 2019 02:27:53 UTC (850 KB)
[v3] Wed, 29 Jul 2020 03:59:33 UTC (982 KB)
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