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Principal stratification is a general framework for studying causal mechanisms involving post-treatment variables. When estimating principal causal effects, the principal ignorability assumption is commonly invoked, which we study in detail…

Methodology · Statistics 2026-04-21 Minxuan Wu , Joseph Antonelli

Recent methods to improve generalizations from nonrandom samples typically invoke assumptions such as the strong ignorability of sample selection that are often controversial in practice to derive point estimates. Rather than focus on the…

Applications · Statistics 2017-01-06 Wendy Chan

The analysis of environmental mixtures is of growing importance in environmental epidemiology, and one of the key goals in such analyses is to identify exposures and their interactions that are associated with adverse health outcomes.…

Methodology · Statistics 2021-03-22 Srijata Samanta , Joseph Antonelli

We provide an approach to exploratory data analysis in matched observational studies with a single intervention and multiple endpoints. In such settings, the researcher would like to explore evidence for actual treatment effects among these…

Methodology · Statistics 2025-12-10 Mengqi Lin , Colin Fogarty

Estimating long-term causal effects by combining long-term observational and short-term experimental data is a crucial but challenging problem in many real-world scenarios. In existing methods, several ideal assumptions, e.g. latent…

Machine Learning · Computer Science 2025-05-12 Ruichu Cai , Junjie Wan , Weilin Chen , Zeqin Yang , Zijian Li , Peng Zhen , Jiecheng Guo

We develop new methodology to improve our understanding of the causal effects of multivariate air pollution exposures on public health. Typically, exposure to air pollution for an individual is measured at their home geographic region,…

Methodology · Statistics 2025-11-18 Heejun Shin , Danielle Braun , Kezia Irene , Michelle Audirac , Joseph Antonelli

Marginal structural models are a popular tool for investigating the effects of time-varying treatments, but they require an assumption of no unobserved confounders between the treatment and outcome. With observational data, this assumption…

Methodology · Statistics 2021-06-10 Matthew Blackwell , Soichiro Yamauchi

Reliable estimation of treatment effects from observational data is important in many disciplines such as medicine. However, estimation is challenging when unconfoundedness as a standard assumption in the causal inference literature is…

Machine Learning · Computer Science 2024-10-15 Jonas Schweisthal , Dennis Frauen , Maresa Schröder , Konstantin Hess , Niki Kilbertus , Stefan Feuerriegel

This paper considers conducting inference about the effect of a treatment (or exposure) on an outcome of interest. In the ideal setting where treatment is assigned randomly, under certain assumptions the treatment effect is identifiable…

Methodology · Statistics 2015-03-06 Amy Richardson , Michael G. Hudgens , Peter B. Gilbert , Jason P. Fine

Observational studies examining causal effects rely on unverifiable assumptions, the violation of which can induce multiple biases. Quantitative bias analysis (QBA) methods examine the sensitivity of findings to such violations, generally,…

Cox's proportional hazards model is one of the most popular statistical models to evaluate associations of exposure with a censored failure time outcome. When confounding factors are not fully observed, the exposure hazard ratio estimated…

Methodology · Statistics 2022-01-04 Linbo Wang , Eric Tchetgen Tchetgen , Torben Martinussen , Stijn Vansteelandt

Identifying the effects of causes and causes of effects is vital in virtually every scientific field. Often, however, the needed probabilities may not be fully identifiable from the data sources available. This paper shows how partial…

Artificial Intelligence · Computer Science 2023-01-31 Ang Li , Scott Mueller , Judea Pearl

Inferring causal relationships between variable pairs in the observational study is crucial but challenging, due to the presence of unmeasured confounding. While previous methods employed the negative controls to adjust for the confounding…

Methodology · Statistics 2025-10-21 Yong Wu , Yanwei Fu , Shouyan Wang , Yizhou Wang , Xinwei Sun

This paper provides a nonparametric framework for causal inference with categorical outcomes under binary treatment and binary instrument settings. I decompose the observed joint probability of outcomes and treatment into marginal…

Econometrics · Economics 2025-11-11 Onil Boussim

Estimating the causal effects of an intervention in the presence of confounding is a frequently occurring problem in applications such as medicine. The task is challenging since there may be multiple confounding factors, some of which may…

Methodology · Statistics 2018-11-28 Sonali Parbhoo , Mario Wieser , Volker Roth

Statistical methods to evaluate the effectiveness of interventions are increasingly challenged by the inherent interconnectedness of units. Specifically, a recent flurry of methods research has addressed the problem of interference between…

Methodology · Statistics 2018-07-24 Corwin M. Zigler , Georgia Papadogeorgou

Random-effects meta-analyses of observational studies can produce biased estimates if the synthesized studies are subject to unmeasured confounding. We propose sensitivity analyses quantifying the extent to which unmeasured confounding of…

Methodology · Statistics 2017-10-10 Maya B. Mathur , Tyler J. VanderWeele

In many social, behavioral, and biomedical sciences, treatment effect estimation is a crucial step in understanding the impact of an intervention, policy, or treatment. In recent years, an increasing emphasis has been placed on…

Methodology · Statistics 2024-10-10 Xinhai Zhang , Xingye Qiao

When constructing a model to estimate the causal effect of a treatment, it is necessary to control for other factors which may have confounding effects. Because the ignorability assumption is not testable, however, it is usually unclear…

Methodology · Statistics 2022-09-07 Spencer Woody , Carlos M. Carvalho , Jared S. Murray

Causal effect estimation has been studied by many researchers when only observational data is available. Sound and complete algorithms have been developed for pointwise estimation of identifiable causal queries. For non-identifiable causal…

Machine Learning · Statistics 2023-06-26 Ziwei Jiang , Lai Wei , Murat Kocaoglu
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