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Relationships of cause and effect are of prime importance for explaining scientific phenomena. Often, rather than just understanding the effects of causes, researchers also wish to understand how a cause $X$ affects an outcome $Y$…

Methodology · Statistics 2024-11-14 Drago Plecko

For many health conditions, there are highly efficacious treatment and prevention products. Maximizing their impact requires strategies that improve the reach of health screening in order to establish who could benefit. For example, HIV…

The presence of intermediate confounders, also called recanting witnesses, is a fundamental challenge to the investigation of causal mechanisms in mediation analysis, preventing the identification of natural path-specific effects. Proposed…

Methodology · Statistics 2024-01-10 Tat-Thang Vo , Nicholas Williams , Richard Liu , Kara E. Rudolph , Ivan Dıaz

The goal of mediation analysis is to study the effect of exposure on an outcome interceded by a mediator. Two simple hypotheses are tested: the effect of the exposure on the mediator, and the effect of the mediator on the outcome. When…

Statistics Theory · Mathematics 2021-06-01 Yotam Leibovici , Yair Goldberg

Motivated by an analysis of causal mechanism from economic stress to entrepreneurial withdrawals through depressed affect, we develop a two-layer generalized varying coefficient mediation model. This model captures the bridging effects of…

Statistics Theory · Mathematics 2022-12-06 Jingyuan Liu , Yujie Liao , Runze Li

Controlled Direct Effect (CDE) is one of the causal estimands used to evaluate both exposure and mediation effects on an outcome. When there are unmeasured confounders existing between the mediator and the outcome, the ordinary…

Methodology · Statistics 2024-10-30 Shunichiro Orihara , Shinpei Imori , Kosuke Morikawa , Atsushi Goto , Masataka Taguri

In settings where interference between units is possible, we define the prevalence of indirect effects to be the number of units who are affected by the treatment of others. This quantity does not fully identify an indirect effect, but may…

Methodology · Statistics 2024-01-18 David Choi

Mediation analysis is widely used for exploring treatment mechanisms; however, it faces challenges when nonignorable missing confounders are present. Efficient inference of mediation effects and the efficiency loss due to nonignorable…

Methodology · Statistics 2026-04-22 Jiawei Shan , Wei Li , Chunrong Ai

Given a binary treatment D and a binary mediator M, mediation analysis decomposes the total effect of D on an outcome Y into the direct and indirect effects. Typically, both D and M are assumed to be exogenous, but this paper allows M to be…

Methodology · Statistics 2025-12-09 Bora Kim , Myoung-jae Lee

For settings with a binary treatment and a binary outcome, instrumental variables can be used to construct bounds on a causal treatment effect. With continuous outcomes, meaningful bounds are more difficult to obtain because the domain of…

Methodology · Statistics 2013-03-26 Tao Liu , Joseph W. Hogan

We consider the problem of estimating the causal effect of a treatment on an outcome in linear structural causal models (SCM) with latent confounders when we have access to a single proxy variable. Several methods (such as…

Computational Engineering, Finance, and Science · Computer Science 2023-06-13 Yaroslav Kivva , Saber Salehkaleybar , Negar Kiyavash

This article presents a novel methodology for detecting multiple biomarkers in high-dimensional mediation models by utilizing a modified Least Absolute Shrinkage and Selection Operator (LASSO) alongside Pathway LASSO. This approach…

Methodology · Statistics 2025-04-17 Pei-Shan Yen , Soumya Sahu , Debarghya Nandi , Zhaoliang Zhou , Olusola Ajilore , Dulal Bhaumik

Statistical fairness metrics in AI-driven credit decisions conflate two causally distinct mechanisms: discrimination operating directly from a protected attribute to a credit outcome, and structural inequality propagating through legitimate…

Machine Learning · Computer Science 2026-03-31 Duraimurugan Rajamanickam

Causal mediation analysis is widely used to investigate how causal effects operate through specific pathways linking treatments or exposures to outcomes. Recently, \texttt{crumble} was developed to enable nonparametric estimation of several…

Methodology · Statistics 2026-04-14 Richard Liu , Nicholas T. Williams , Kara E. Rudolph , Ivan Diaz

There are limited options to estimate the treatment effects of variables which are continuous and measured at multiple time points, particularly if the true dose-response curve should be estimated as closely as possible. However, these…

Methodology · Statistics 2024-10-11 Michael Schomaker , Helen McIlleron , Paolo Denti , Iván Díaz

Not accounting for competing events in survival analysis can lead to biased estimates, as individuals who die from other causes do not have the opportunity to develop the event of interest. Formal definitions and considerations for causal…

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

Understanding the causal effects of text on downstream outcomes is a central task in many applications. Estimating such effects requires researchers to run controlled experiments that systematically vary textual features. While large…

Computation and Language · Computer Science 2026-02-18 Omri Feldman , Amar Venugopal , Jann Spiess , Amir Feder

We suggest double/debiased machine learning estimators of direct and indirect quantile treatment effects under a selection-on-observables assumption. This permits disentangling the causal effect of a binary treatment at a specific outcome…

Econometrics · Economics 2023-07-04 Yu-Chin Hsu , Martin Huber , Yu-Min Yen

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
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