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It is common in medical studies that the outcome of interest is truncated by death, meaning that a subject has died before the outcome could be measured. In this case, restricted analysis among survivors may be subject to selection bias.…

Methodology · Statistics 2018-04-25 Linbo Wang , Xiao-Hua Zhou , Thomas S. Richardson

We investigate the bounding problem of causal effects in experimental studies in which the outcome is truncated by death, meaning that the subject dies before the outcome can be measured. Causal effects cannot be point identified without…

Methodology · Statistics 2024-04-29 Aixian Chen , Xia Cui , Guangren Yang

In clinical trials, principal stratification analysis is commonly employed to address the issue of truncation by death, where a subject dies before the outcome can be measured. However, in practice, many survivor outcomes may remain…

Methodology · Statistics 2025-07-08 Wei Li , Yuan Liu , Shanshan Luo , Zhi Geng

The analysis of causal effects when the outcome of interest is possibly truncated by death has a long history in statistics and causal inference. The survivor average causal effect is commonly identified with more assumptions than those…

Methodology · Statistics 2020-03-24 Jaffer M. Zaidi , Eric J. Tchetgen Tchetgen , Tyler J. VanderWeele

In some randomized clinical trials, patients may die before the measurements of their outcomes. Even though randomization generates comparable treatment and control groups, the remaining survivors often differ significantly in background…

Applications · Statistics 2018-03-07 Fan Yang , Peng Ding

Even in a carefully designed randomized trial, outcomes for some study participants can be missing, or more precisely, ill-defined, because participants had died prior to date of outcome collection. This problem, known as truncation by…

Methodology · Statistics 2022-09-27 Tamir Zehavi , Daniel Nevo

Defining a causal estimand for a longitudinal outcome truncated by death is challenging, because the outcome may be undefined at the end of follow-up. Although a range of estimands and several estimators have been proposed, guidance on the…

Methodology · Statistics 2026-04-30 Juliette Ortholand , Young Lee , Marie-Abele C Bind

In semicompeting risks problems, nonterminal time-to-event outcomes such as time to hospital readmission are subject to truncation by death. These settings are often modeled with illness-death models for the hazards of the terminal and…

Methodology · Statistics 2019-02-27 Leah Comment , Fabrizia Mealli , Sebastien Haneuse , Corwin Zigler

In clinical trials, the observation of participant outcomes may frequently be hindered by death, leading to ambiguity in defining a scientifically meaningful final outcome for those who die. Principal stratification methods are valuable…

Methodology · Statistics 2025-09-01 Jiaqi Tong , Chao Cheng , Guangyu Tong , Michael O. Harhay , Fan Li

Clinical studies sometimes encounter truncation by death, rendering outcomes undefined. Statistical analysis based solely on observed survivors may give biased results because the characteristics of survivors differ between treatment…

Methodology · Statistics 2022-11-23 Yuhao Deng , Yingjun Chang , Xiao-Hua Zhou

Cluster-randomized trials (CRTs) on fragile populations frequently encounter complex attrition problems where the reasons for missing outcomes can be heterogeneous, with participants who are known alive, known to have died, or with unknown…

Methodology · Statistics 2025-05-06 Guangyu Tong , Chenxi Li , Eric Velazquez , Michael O. Harhay , Fan Li

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…

Death among subjects is common in observational studies evaluating the causal effects of interventions among geriatric or severely ill patients. High mortality rates complicate the comparison of the prevalence of adverse events (AEs)…

Methodology · Statistics 2024-10-08 Anthony Sisti , Andrew Zullo , Roee Gutman

In many causal studies, outcomes are censored by death, in the sense that they are neither observed nor defined for units who die. In such studies, the focus is usually on the stratum of always survivors up to a single fixed time s.…

Methodology · Statistics 2024-01-02 Giulio Grossi , Marco Mariani , Alessandra Mattei , Fabrizia Mealli

Recurrent events often serve as key endpoints in clinical studies but may be prematurely truncated by terminal events such as death, creating selection bias and complicating causal inference. To address this challenge, we develop a Bayesian…

Methodology · Statistics 2026-03-18 Yuki Ohnishi , Michael O. Harhay , Guangyu Tong , Fan Li

Causal inference is best understood using potential outcomes. This use is particularly important in more complex settings, that is, observational studies or randomized experiments with complications such as noncompliance. The topic of this…

Statistics Theory · Mathematics 2007-06-13 Donald B. Rubin

Continuous outcome measurements truncated by death present a challenge for the estimation of unbiased treatment effects in randomized controlled trials (RCTs). One way to deal with such situations is to estimate the survivor average causal…

Patient-centered outcomes, such as quality of life and length of hospital stay, are the focus in a wide array of clinical studies. However, participants in randomized trials for elderly or critically and severely ill patient populations may…

Methodology · Statistics 2024-04-17 Dane Isenberg , Michael Harhay , Nandita Mitra , Fan Li

Diverse analysis approaches have been proposed to distinguish data missing due to death from nonresponse, and to summarize trajectories of longitudinal data truncated by death. We demonstrate how these analysis approaches arise from…

Methodology · Statistics 2010-01-18 Brenda F. Kurland , Laura L. Johnson , Brian L. Egleston , Paula H. Diehr

Researchers are often interested in treatment effects on outcomes that are only defined conditional on a post-treatment event status. For example, in a study of the effect of different cancer treatments on quality of life at end of…

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