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On the limitations of causal inference with current-treatment Cox models

仅含当前治疗的 Cox 模型在因果推断中的局限

Cox models with time-varying treatments often include only the current treatment level. Translating such a model into causally meaningful intervention-specific survival probabilities relies on the Markov property: that the hazard is independent of treatment history conditional on current treatment. For the Markov property to not be population-specific, it needs to hold also conditional on any unmeasured prognostic heterogeneity (frailty). Using a discrete-time argument,…

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Debiased inference for stochastic treatment interventions with survival outcomes

生存结局下随机治疗干预的去偏推断

Estimating the causal effect of a time-dependent treatment on time to death is challenging. In this paper, we formulate the problem using the illness-death model and focus on a stochastic intervention that modifies the hazard governing the transition from no treatment to treatment initiation. Such an intervention can only be implemented at the level of the observed data, whereas the causally valid intervention is defined at the level of the true data-generating process. We…

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A joint QoL-Survival framework with debiased estimation under truncation by death

死亡截断下生活质量与生存的联合框架及去偏估计

Evaluating quality-of-life (QoL) outcomes in populations with high mortality risk is complicated by truncation by death, since QoL is undefined for individuals who do not survive to the planned measurement time. We propose a framework that jointly models the distribution of QoL and survival without extrapolating QoL beyond death. Inspired by multistate formulations, we extend the joint characterization of binary health states and mortality to continuous QoL outcomes. Because…

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Nonparametric estimation of the Patient Weighted While-Alive Estimand

患者加权存活期间估计目标的非参数估计

In clinical trials with recurrent events, such as repeated hospitalizations terminating with death, it is important to consider the patient events overall history for a thorough assessment of treatment effects. The occurrence of fewer events due to early deaths can lead to misinterpretation, emphasizing the importance of a while-alive strategy as suggested in Schmidli et al. (2023). In this study, we focus on the patient weighted while-alive estimand, represented as the…

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Causal effect on the number of life years lost due to a specific event: Average treatment effect and variable importance

特定事件导致寿命损失年数的因果效应:平均处理效应与变量重要性

Competing risk is a common phenomenon when dealing with time-to-event outcomes in biostatistical applications. An attractive estimand in this setting is the "number of life-years lost due to a specific cause of death", Andersen et al. (2013). It provides a direct interpretation on the time-scale on which the data is observed. In this paper, we introduce the causal effect on the number of life years lost due to a specific event, and we give assumptions under which the average…

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Variable importance measures for heterogeneous treatment effects with survival outcome

生存结局下异质性处理效应的变量重要性度量

Treatment effect heterogeneity plays an important role in many areas of causal inference and within recent years, estimation of the conditional average treatment effect (CATE) has received much attention in the statistical community. While accurate estimation of the CATE-function through flexible machine learning procedures provides a tool for prediction of the individual treatment effect, it does not provide further insight into the driving features of potential treatment…

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Inverse probability of treatment weighting with generalized linear outcome models for doubly robust estimation

结合广义线性结果模型的逆概率处理加权双重稳健估计

There are now many options for doubly robust estimation; however, there is a concerning trend in the applied literature to believe that the combination of a propensity score and an adjusted outcome model automatically results in a doubly robust estimator and/or to misuse more complex established doubly robust estimators. A simple alternative, canonical link generalized linear models (GLM) fit via inverse probability of treatment (propensity score) weighted maximum likelihood…

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Rejoinder to discussions on "Instrumental variable estimation of the causal hazard ratio"

对《因果风险比的工具变量估计》讨论的答复

We respond to comments on our paper, titled "Instrumental variable estimation of the causal hazard ratio."

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