arXiv:2411.09635stat.MLcs.LG2024-11被引 1

提出可实现反事实疗效不确定性量化的新方法,解决百年难题。

Counterfactual Uncertainty Quantification of Factual Estimand of Efficacy from Before-and-After Treatment Repeated Measures Randomized Controlled Trials

  • 基于新统计模型ETZ,实现前后测随机对照试验中的反事实不确定性量化
  • 反事实不确定性通常比事实更小,结果更稳定可靠
  • 警告使用有测量误差的预测变量会引入衰减偏差,尤其影响亚组分析

本文量化了在真实实验设计下反事实估计量的不确定性降低潜力,并警示使用数字孪生时可能存在的偏差。自Neyman(1923a)证明可通过设计实验实现无偏点估计以来,反事实不确定性量化(CUQ)近百年来仍是未解难题。本文聚焦于治疗组Rx与对照组C的反事实疗效估计量,即每位患者同时接受两种处理时预期结果的差异。借助新的统计建模原则ETZ,我们证明在包含前后多次测量的随机对照试验中,反事实不确定性量化是可行的。所实现的反事实不确定性通常比事实不确定性更低。我们提醒:使用存在测量误差的预测变量会违反回归假设,导致治疗效应估计出现衰减偏差。传统医学与群体平均靶向疗法中,反事实点估计仍保持无偏;但在真实人类和数字孪生方法中,亚组效应估计可能遭受衰减偏差。

原文摘要 · Abstract (English)

This article quantifies the uncertainty reduction achievable for \textit{counterfactual} estimand, and cautions against potential bias when the estimand uses Digital Twins. Posed by Neyman (1923a) who showed unbiased \textit{point estimation} from designed \textit{factual} experiments is possible, \textit{counterfactual} uncertainty quantification (CUQ) remained an open challenge for about one hundred years. The $Rx: C$ \textit{counterfactual} efficacy we focus on is the ideal estimand for comparing treatment $Rx$ with control $C$, the expected outcome differential if each patient received \textit{both} $Rx$ and $C$. Enabled by our new statistical modeling principle called ETZ, we show CUQ is achievable in Randomized Controlled Trials (RCTs) with \textit{Before-and-After} Repeated Measures, common in many therapeutic areas. The CUQ we are able to achieve typically has lower variability than factual UQ. We caution against using predictors with measurement error, which violates regression assumptions and can cause \textit{attenuation} bias in estimating treatment effects. For traditional medicine and population-averaged targeted therapy, counterfactual point estimation remains unbiased. However, in both Real Human and Digital Twin approaches, estimating effects in \emph{subgroups} may suffer attenuation bias.

反事实推断不确定性量化临床试验数字孪生

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