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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

We present new results on average causal effects in settings with unmeasured exposure-outcome confounding. Our results are motivated by a class of estimands, e.g., frequently of interest in medicine and public health, that are currently not…

Methodology · Statistics 2023-12-25 Lan Wen , Aaron L. Sarvet , Mats J. Stensrud

Modern datasets commonly feature both substantial missingness and many variables of mixed data types, which present significant challenges for estimation and inference. Complete case analysis, which proceeds using only the observations with…

Methodology · Statistics 2023-04-10 Joseph Feldman , Daniel R. Kowal

A key challenge in estimating causal effects from observational data is handling confounding and is commonly achieved through weighting methods that balance distribution of covariates between treatment and control groups. Weighting…

Methodology · Statistics 2025-12-23 Simion De , Jared D. Huling

Observational studies can play a useful role in assessing the comparative effectiveness of competing treatments. In a clinical trial the randomization of participants to treatment and control groups generally results in well-balanced groups…

Substantial advances in Bayesian methods for causal inference have been developed in recent years. We provide an introduction to Bayesian inference for causal effects for practicing statisticians who have some familiarity with Bayesian…

Methodology · Statistics 2023-12-12 Arman Oganisian , Jason A. Roy

Causal inference methods based on electronic health record (EHR) databases must simultaneously handle confounding and missing data. Vast scholarship exists aimed at addressing these two issues separately, but surprisingly few papers attempt…

Methodology · Statistics 2025-07-28 Luke Benz , Alexander Levis , Sebastien Haneuse

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

Clinical machine learning applications are often plagued with confounders that are clinically irrelevant, but can still artificially boost the predictive performance of the algorithms. Confounding is especially problematic in mobile health…

Applications · Statistics 2018-11-29 Elias Chaibub Neto

Consider sensitivity analysis for estimating average treatment effects under unmeasured confounding, assumed to satisfy a marginal sensitivity model. At the population level, we provide new representations for the sharp population bounds…

Methodology · Statistics 2022-09-26 Zhiqiang Tan

Uncertainty in the estimation of the causal effect in observational studies is often due to unmeasured confounding, i.e., the presence of unobserved covariates linking treatments and outcomes. Instrumental Variables (IV) are commonly used…

Methodology · Statistics 2019-07-30 M. Usaid Awan , Yameng Liu , Marco Morucci , Sudeepa Roy , Cynthia Rudin , Alexander Volfovsky

The problem of missingness in observational data is ubiquitous. When the confounders are missing at random, multiple imputation is commonly used; however, the method requires congeniality conditions for valid inferences, which may not be…

Methodology · Statistics 2020-07-10 Nathan Corder , Shu Yang

Estimating the effect of intervention from observational data while accounting for confounding variables is a key task in causal inference. Oftentimes, the confounders are unobserved, but we have access to large amounts of additional…

Machine Learning · Computer Science 2022-12-13 Shachi Deshpande , Kaiwen Wang , Dhruv Sreenivas , Zheng Li , Volodymyr Kuleshov

Interference occurs when a unit's treatment (or exposure) affects another unit's outcome. In some settings, units may be grouped into clusters such that it is reasonable to assume that interference, if present, only occurs between…

Methodology · Statistics 2023-08-24 Chanhwa Lee , Donglin Zeng , Michael G. Hudgens

This paper studies the confounding effects from the unmeasured confounders and the imbalance of observed confounders in IV regression and aims at unbiased causal effect estimation. Recently, nonlinear IV estimators were proposed to allow…

Artificial Intelligence · Computer Science 2022-11-21 Anpeng Wu , Kun Kuang , Ruoxuan Xiong , Bo Li , Fei Wu

Researchers are often interested in learning not only the effect of treatments on outcomes, but also the pathways through which these effects operate. A mediator is a variable that is affected by treatment and subsequently affects outcome.…

Methodology · Statistics 2021-12-22 Jeremiah Jones , Ashkan Ertefaie , Robert L. Strawderman

In causal inference, sensitivity models assess how unmeasured confounders could alter causal analyses, but the sensitivity parameter -- which quantifies the degree of unmeasured confounding -- is often difficult to interpret. For this…

Methodology · Statistics 2025-09-04 Alec McClean , Zach Branson , Edward H. Kennedy

In classical study designs, the aim is often to learn about the effects of a treatment or intervention on a single outcome; in many modern studies, however, data on multiple outcomes are collected and it is of interest to explore effects on…

Methodology · Statistics 2017-06-15 Edward H. Kennedy , Shreya Kangovi , Nandita Mitra

Identifying effects of actions (treatments) on outcome variables from observational data and causal assumptions is a fundamental problem in causal inference. This identification is made difficult by the presence of confounders which can be…

Methodology · Statistics 2012-03-19 Ilya Shpitser , Tyler VanderWeele , James M. Robins

In causal inference, interference occurs when the treatment of one unit may affect the outcomes of other units. The goal of this work is to serve as a guide to the use of linear outcome modeling for estimating causal effects in settings…

Methodology · Statistics 2026-04-01 Eric Tong , Salvador V. Balkus