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条件分布建模作为协变量模拟的一种替代方法:与联合多元正态和自举技术的比较。

Conditional distribution modeling as an alternative method for covariates simulation: Comparison with joint multivariate normal and bootstrap techniques.

机构信息

Pharmetheus AB, Uppsala, Sweden.

出版信息

CPT Pharmacometrics Syst Pharmacol. 2021 Apr;10(4):330-339. doi: 10.1002/psp4.12613.

Abstract

Clinical trial simulation (CTS) is a valuable tool in drug development. To obtain realistic scenarios, the subjects included in the CTS must be representative of the target population. Common ways of generating virtual subjects are based upon bootstrap (BS) procedures or multivariate normal distributions (MVNDs). Here, we investigated the performance of an alternative method based on conditional distributions (CDs). Covariate data from a hypertension drug development program were used. The methods were evaluated based on the original data set (internal evaluation) and on their ability to reproduce an older, unobserved population (extrapolation). Similar results were obtained in the internal evaluation for summary statistics, yet BS was able to preserve the correlation structure of the empirical distribution, which was not adequately reproduced by MVND; CD was in between BS and MVND. BS does not allow to extrapolate to an unobserved population. When the data set used to inform the extrapolation was well approximated by an MVND, the results from CD and MVND were comparable. However, improved extrapolation performance was observed for CD when deviations from normality assumptions occurred. If CTS is used to simulate within the observed distribution, BS is the preferred method. When extrapolating to new populations, a parametric method like CD/MVND is needed. In case the empirical multivariate distribution is characterized by linearly related covariates and unimodal marginal distributions, MVND can be used because of the simpler statistical framework and well-established use; however, if uncertainty about the MVND assumptions exists, CD will increase the confidence in the simulations compared to MVND.

摘要

临床试验模拟(CTS)是药物开发的有价值的工具。为了获得现实场景,CTS 中包含的受试者必须代表目标人群。生成虚拟受试者的常见方法基于自举(BS)程序或多元正态分布(MVND)。在这里,我们研究了基于条件分布(CD)的替代方法的性能。使用高血压药物开发计划中的协变量数据。根据原始数据集(内部评估)和它们复制旧的、未观察到的人群的能力(外推)对方法进行评估。在内部评估中,对于汇总统计数据,获得了相似的结果,但 BS 能够保留经验分布的相关结构,而 MVND 无法充分复制;CD 处于 BS 和 MVND 之间。BS 不允许外推到未观察到的人群。当用于告知外推的数据集很好地被 MVND 逼近时,CD 和 MVND 的结果是可比的。然而,当出现偏离正态性假设时,CD 观察到了改进的外推性能。如果 CTS 用于模拟观察到的分布内,BS 是首选方法。当外推到新的人群时,需要像 CD/MVND 这样的参数方法。如果经验多元分布的特征是具有线性相关协变量和单峰边际分布,则由于更简单的统计框架和成熟的用途,MVND 可以使用;然而,如果对 MVND 假设存在不确定性,CD 将比 MVND 增加对模拟的信心。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0344/8099438/1679f33dbc21/PSP4-10-330-g002.jpg

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