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arXiv 1908.07769stat.ME
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基于模拟的多设计参数临床试验样本量确定方法

Efficient and flexible simulation-based sample size determination for clinical trials with multiple design parameters

Duncan T. Wilson, Rebecca E. A. Walwyn, Richard Hooper, Julia Brown, Amanda J. Farrin

摘要:

模拟提供了一种简单而灵活的方法来估计临床试验的功效时,分析公式不可用。然而,使用模拟的计算负担限制了其应用,仅限于最简单的样本量确定问题,最小化单个参数(总体样本量)受功效高于目标水平的影响。我们描述了一个通用的框架来解决基于模拟的样本量确定问题的几个设计参数,优化和几个相互冲突的标准,以尽量减少。该方法是基于一个已建立的全球优化算法,广泛用于计算机实验的设计和分析,使用非参数回归模型作为近似的真正的底层功率函数。该方法是灵活的,可以用于几乎任何问题,功率可以估计使用模拟,并可以使用现有的统计软件包。我们说明了它的应用程序,三个日益复杂的样本量确定问题,涉及复杂的聚类结构,共同的主要终点,和小样本的考虑。

英文摘要:

Simulation offers a simple and flexible way to estimate the power of a clinical trial when analytic formulae are not available. The computational burden of using simulation has, however, restricted its application to only the simplest of sample size determination problems, minimising a single parameter (the overall sample size) subject to power being above a target level. We describe a general framework for solving simulation-based sample size determination problems with several design parameters over which to optimise and several conflicting criteria to be minimised. The method is based on an established global optimisation algorithm widely used in the design and analysis of computer experiments, using a non-parametric regression model as an approximation of the true underlying power function. The method is flexible, can be used for almost any problem for which power can be estimated using simulation, and can be implemented using existing statistical software packages. We illustrate its application to three increasingly complicated sample size determination problems involving complex clustering structures, co-primary endpoints, and small sample considerations.

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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