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We consider missingness in the context of causal inference when the outcome of interest may be missing. If the outcome directly affects its own missingness status, i.e., it is "self-censoring", this may lead to severely biased causal effect…

Methodology · Statistics 2023-06-12 Jacob M Chen , Daniel Malinsky , Rohit Bhattacharya

This paper discusses the fundamental principles of causal inference - the area of statistics that estimates the effect of specific occurrences, treatments, interventions, and exposures on a given outcome from experimental and observational…

Methodology · Statistics 2021-12-03 Francesca Dominici , Falco J. Bargagli-Stoffi , Fabrizia Mealli

Reliable treatment effect estimation from observational data depends on the availability of all confounding information. While much work has targeted treatment effect estimation from observational data, there is relatively little work in…

Machine Learning · Statistics 2020-11-18 Shirly Wang , Seung Eun Yi , Shalmali Joshi , Marzyeh Ghassemi

Although randomized experiments are widely regarded as the gold standard for estimating causal effects, missing data of the pretreatment covariates makes it challenging to estimate the subgroup causal effects. When the missing data…

Statistics Theory · Mathematics 2014-01-08 Peng Ding , Zhi Geng

Conditioning on some set of confounders that causally affect both treatment and outcome variables can be sufficient for eliminating bias introduced by all such confounders when estimating causal effect of the treatment on the outcome from…

Methodology · Statistics 2018-04-24 Priyantha Wijayatunga

One of the most fundamental problems in causal inference is the estimation of a causal effect when variables are confounded. This is difficult in an observational study, because one has no direct evidence that all confounders have been…

Machine Learning · Statistics 2014-11-03 Ricardo Silva , Robin Evans

Instrumental variable approaches have gained popularity for estimating causal effects in the presence of unmeasured confounders. However, the availability of instrumental variables in the primary dataset is often challenged due to stringent…

Methodology · Statistics 2026-03-31 Kang Shuai , Shanshan Luo , Wei Li , Yangbo He

In this paper, we discuss causal inference on the efficacy of a treatment or medication on a time-to-event outcome with competing risks. Although the treatment group can be randomized, there can be confoundings between the compliance and…

Methodology · Statistics 2016-12-06 Cheng Zheng , Ran Dai , Parameswaran Hari , Mei-Jie Zhang

Inferring causal effects of continuous-valued treatments from observational data is a crucial task promising to better inform policy- and decision-makers. A critical assumption needed to identify these effects is that all confounding…

In experimental and observational data settings, researchers often have limited knowledge of the reasons for missing outcomes. To address this uncertainty, we propose bounds on causal effects for missing outcomes, accommodating the scenario…

Methodology · Statistics 2026-03-19 Max Rubinstein , Denis Agniel , Larry Han , Marcela Horvitz-Lennon , Sharon-Lise Normand

Drawing causal inference with observational studies is the central pillar of many disciplines. One sufficient condition for identifying the causal effect is that the treatment-outcome relationship is unconfounded conditional on the observed…

Statistics Theory · Mathematics 2017-01-17 Peng Ding , Tyler VanderWeele , James Robins

The principal stratification has become a popular tool to address a broad class of causal inference questions, particularly in dealing with non-compliance and truncation-by-death problems. The causal effects within principal strata which…

Methodology · Statistics 2022-06-20 Shanshan Luo , Wei Li , Wang Miao , Yangbo He

An important problem in causal inference is to break down the total effect of a treatment on an outcome into different causal pathways and to quantify the causal effect in each pathway. For instance, in causal fairness, the total effect of…

Machine Learning · Statistics 2022-01-10 Lu Cheng , Ruocheng Guo , Huan Liu

Valid causal inference in observational studies often requires controlling for confounders. However, in practice measurements of confounders may be noisy, and can lead to biased estimates of causal effects. We show that we can reduce the…

Machine Learning · Statistics 2018-06-05 Nathan Kallus , Xiaojie Mao , Madeleine Udell

Many real-world decision-making tasks require learning causal relationships between a set of variables. Traditional causal discovery methods, however, require that all variables are observed, which is often not feasible in practical…

Methodology · Statistics 2023-06-27 Raj Agrawal , Chandler Squires , Neha Prasad , Caroline Uhler

We propose a method to distinguish causal influence from hidden confounding in the following scenario: given a target variable Y, potential causal drivers X, and a large number of background features, we propose a novel criterion for…

Machine Learning · Statistics 2022-02-07 You-Lin Chen , Lenon Minorics , Dominik Janzing

It is often said that the fundamental problem of causal inference is a missing data problem -- the comparison of responses to two hypothetical treatment assignments is made difficult because for every experimental unit only one potential…

Methodology · Statistics 2024-11-21 Razieh Nabi , Rohit Bhattacharya , Ilya Shpitser , James M. Robins

Unmeasured confounding presents a common challenge in observational studies, potentially making standard causal parameters unidentifiable without additional assumptions. Given the increasing availability of diverse data sources, exploiting…

Methodology · Statistics 2023-09-18 Shanshan Luo , Yechi Zhang , Wei 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

A major challenge in estimating treatment effects in observational studies is the reliance on untestable conditions such as the assumption of no unmeasured confounding. In this work, we propose an algorithm that can falsify the assumption…

Methodology · Statistics 2025-06-03 Rickard K. A. Karlsson , Jesse H. Krijthe