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Causal inference analyses often use existing observational data, which in many cases has some clustering of individuals. In this paper we discuss propensity score weighting methods in a multilevel setting where within clusters individuals…

Applications · Statistics 2020-12-24 Youjin Lee , Trang Q. Nguyen , Elizabeth A. Stuart

Causal inference in the presence of intermediate variables is a challenging problem in many applications. Principal stratification (PS) provides a framework to estimate principal causal effects (PCE) in such settings. However, existing PS…

Methodology · Statistics 2026-02-20 Lei Yang , Michael J. Daniels , Fan Li

Empirical researchers are often interested in not only whether a treatment affects an outcome of interest, but also how the treatment effect arises. Causal mediation analysis provides a formal framework to identify causal mechanisms through…

Econometrics · Economics 2022-02-01 Bora Kim

The assumption that no subject's exposure affects another subject's outcome, known as the no-interference assumption, has long held a foundational position in the study of causal inference. However, this assumption may be violated in many…

Methodology · Statistics 2018-11-27 Caleb H. Miles , Maya Petersen , Mark J. van der Laan

This paper proposes a debiased estimator for causal effects in high-dimensional generalized linear models with binary outcomes and general link functions. The estimator augments a regularized regression plug-in with weights computed from a…

Econometrics · Economics 2025-10-21 Jing Kong

Uncertainty quantification is central to many applications of causal machine learning, yet principled Bayesian inference for causal effects remains challenging. Standard Bayesian approaches typically require specifying a probabilistic model…

Machine Learning · Statistics 2026-03-04 Emil Javurek , Dennis Frauen , Yuxin Wang , Stefan Feuerriegel

Observational studies are a key resource for causal inference but are often affected by systematic biases. Prior work has focused mainly on detecting these biases, via sensitivity analyses and comparisons with randomized controlled trials,…

Methodology · Statistics 2025-06-03 Ilker Demirel , Zeshan Hussain , Piersilvio De Bartolomeis , David Sontag

Instrumental variable methods have been widely used to identify causal effects in the presence of unmeasured confounding. A key identification condition known as the exclusion restriction states that the instrument cannot have a direct…

Methodology · Statistics 2022-08-05 Baoluo Sun , Yifan Cui , Eric Tchetgen Tchetgen

Missing attributes are ubiquitous in causal inference, as they are in most applied statistical work. In this paper, we consider various sets of assumptions under which causal inference is possible despite missing attributes and discuss…

Methodology · Statistics 2020-05-25 Imke Mayer , Erik Sverdrup , Tobias Gauss , Jean-Denis Moyer , Stefan Wager , Julie Josse

Many causal estimands are only partially identifiable since they depend on the unobservable joint distribution between potential outcomes. Stratification on pretreatment covariates can yield sharper bounds; however, unless the covariates…

Econometrics · Economics 2024-11-19 Wenlong Ji , Lihua Lei , Asher Spector

Identifying covariates that modify treatment effects is a central problem in causal inference. Yet existing data-adaptive procedures do not provide finite-sample control over the expected number of false discoveries, risking spurious…

Methodology · Statistics 2026-05-12 Falco J. Bargagli-Stoffi , Omar Melikechi

The proximal causal inference framework enables the identification and estimation of causal effects in the presence of unmeasured confounding by leveraging two disjoint sets of observed strong proxies: negative control treatments and…

Methodology · Statistics 2025-12-16 Antonio Olivas-Martinez , Peter B. Gilbert , Andrea Rotnitzky

How should researchers conduct causal inference when the outcome of interest is latent and measured imperfectly by multiple indicators? We develop a general nonparametric framework for identifying and estimating average treatment effects on…

Methodology · Statistics 2026-04-22 Jiawei Fu , Donald P. Green

In experiments that study social phenomena, such as peer influence or herd immunity, the treatment of one unit may influence the outcomes of others. Such "interference between units" violates traditional approaches for causal inference, so…

Methodology · Statistics 2023-08-30 David Choi

The causal inference literature frequently focuses on estimating the mean of the potential outcome, whereas quantiles of the potential outcome may carry important additional information. We propose a unified approach, based on the inverse…

Methodology · Statistics 2024-08-16 Chao Cheng , Fan Li

Skepticism about the assumption of no unmeasured confounding, also known as exchangeability, is often warranted in making causal inferences from observational data; because exchangeability hinges on an investigator's ability to accurately…

Methodology · Statistics 2023-02-22 Yifan Cui , Hongming Pu , Xu Shi , Wang Miao , Eric Tchetgen Tchetgen

This paper presents a randomization-based framework for estimating causal effects under interference between units, motivated by challenges that arise in analyzing experiments on social networks. The framework integrates three components:…

Statistics Theory · Mathematics 2018-06-21 Peter M. Aronow , Cyrus Samii

The study of causal effects in the presence of unmeasured spatially varying confounders has garnered increasing attention. However, a general framework for identifiability, which is critical for reliable causal inference from observational…

Methodology · Statistics 2026-02-27 Tommy Tang , Xinran Li , Bo Li

We consider basic conceptual questions concerning the relationship between statistical estimation and causal inference. Firstly, we show how to translate causal inference problems into an abstract statistical formalism without requiring any…

Statistics Theory · Mathematics 2020-07-22 Oliver J. Maclaren , Ruanui Nicholson

Principal stratification provides a causal inference framework for investigating treatment effects in the presence of a post-treatment variable. Principal strata play a key role in characterizing the treatment effect by identifying groups…

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