arXiv:2501.14837stat.MEcs.LG2025-01被引 1

提出新方法分析存在测量误差的生存数据因果效应。

A Semiparametric Bayesian Method for Instrumental Variable Analysis with Partly Interval-Censored Time-to-Event Outcome

  • 基于双重狄利克雷过程混合模型,处理暴露变量与结局的随机误差。
  • 在多种误差分布下表现稳健,优于传统参数方法。
  • 适合医学研究中部分事件时间不完整时的因果推断。

本文针对存在未观测混杂和测量误差的局部区间删失生存数据,提出一种半参数贝叶斯工具变量分析方法。当事件发生时间对部分受试者精确观测,而对其他受试者为左删失、右删失或区间删失时,该方法基于双阶段狄利克雷过程混合工具变量(DPMIV)模型,同时使用双变量高斯混合狄利克雷过程(DPM)建模暴露变量的第一阶段随机误差和生存结局的第二阶段随机误差。该模型可视为具有不确定成分数的混合模型,无需正态误差假设,成分数量由数据自动决定。我们设计了适用于局部区间删失数据的MCMC算法,并通过大量模拟评估其性能,结果表明该方法在不同误差分布下均具稳健性,且在多数场景下优于参数化方法。进一步在英国生物银行数据中应用,研究糖尿病发病后收缩压对心血管疾病发生时间的因果影响。

原文摘要 · Abstract (English)

This paper develops a semiparametric Bayesian instrumental variable analysis method for estimating the causal effect of an endogenous variable when dealing with unobserved confounders and measurement errors with partly interval-censored time-to-event data, where event times are observed exactly for some subjects but left-censored, right-censored, or interval-censored for others. Our method is based on a two-stage Dirichlet process mixture instrumental variable (DPMIV) model which simultaneously models the first-stage random error term for the exposure variable and the second-stage random error term for the time-to-event outcome using a bivariate Gaussian mixture of the Dirichlet process (DPM) model. The DPM model can be broadly understood as a mixture model with an unspecified number of Gaussian components, which relaxes the normal error assumptions and allows the number of mixture components to be determined by the data. We develop an MCMC algorithm for the DPMIV model tailored for partly interval-censored data and conduct extensive simulations to assess the performance of our DPMIV method in comparison with some competing methods. Our simulations revealed that our proposed method is robust under different error distributions and can have superior performance over its parametric counterpart under various scenarios. We further demonstrate the effectiveness of our approach on an UK Biobank data to investigate the causal effect of systolic blood pressure on time-to-development of cardiovascular disease from the onset of diabetes mellitus.

因果推断生存分析贝叶斯方法删失数据

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