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This paper combines causal mediation analysis with double machine learning to control for observed confounders in a data-driven way under a selection-on-observables assumption in a high-dimensional setting. We consider the average indirect…

Econometrics · Economics 2021-02-17 Helmut Farbmacher , Martin Huber , Lukáš Lafférs , Henrika Langen , Martin Spindler

The interaction of two binary variables, assumed to be empirical observations, has three degrees of freedom when expressed as a matrix of frequencies. Usually, the size of causal influence of one variable on the other is calculated as a…

Artificial Intelligence · Computer Science 2014-04-22 David A. Eubanks

We describe and contrast two distinct problem areas for statistical causality: studying the likely effects of an intervention ("effects of causes"), and studying whether there is a causal link between the observed exposure and outcome in an…

Statistics Theory · Mathematics 2021-04-02 A. Philip Dawid , Monica Musio

Causal inference methods can be applied to estimate the effect of a point exposure or treatment on an outcome of interest using data from observational studies. For example, in the Women's Interagency HIV Study, it is of interest to…

Humans are routinely exposed to mixtures of chemical and other environmental factors, making the quantification of health effects associated with environmental mixtures a critical goal for establishing environmental policy sufficiently…

The average treatment effect (ATE) is a common parameter estimated in causal inference literature, but it is only defined for binary exposures. Thus, despite concerns raised by some researchers, many studies seeking to estimate the causal…

Methodology · Statistics 2026-02-06 Kaitlyn J. Lee , Alan Hubbard , Alejandro Schuler

An individual has been subjected to some exposure and has developed some outcome. Using data on similar individuals, we wish to evaluate, for this case, the probability that the outcome was in fact caused by the exposure. Even with the best…

Statistics Theory · Mathematics 2017-06-16 Rossella Murtas , Alexander Philip Dawid , Monica Musio

To estimate direct and indirect effects of an exposure on an outcome from observed data strong assumptions about unconfoundedness are required. Since these assumptions cannot be tested using the observed data, a mediation analysis should…

Statistics Theory · Mathematics 2018-03-29 Anita Lindmark , Xavier de Luna , Marie Eriksson

Although the existing causal inference literature focuses on the forward-looking perspective by estimating effects of causes, the backward-looking perspective can provide insights into causes of effects. In backward-looking causal…

Statistics Theory · Mathematics 2025-08-26 Chao Zhang , Zhi Geng , Wei Li , Peng Ding

Clinical trials often evaluate multiple outcome variables to form a comprehensive picture of the effects of a new treatment. The resulting multidimensional insight contributes to clinically relevant and efficient decision-making about…

Methodology · Statistics 2023-08-14 X. M. Kavelaars , J. Mulder , M. C. Kaptein

We introduce a framework for estimating causal effects of binary and continuous treatments in high dimensions. We show how posterior distributions of treatment and outcome models can be used together with doubly robust estimators. We…

Methodology · Statistics 2020-10-06 Joseph Antonelli , Georgia Papadogeorgou , Francesca Dominici

When developing new interventions to minimize the harmful effects of an exposure, investigators usually target the mechanisms that mediate the causal effect of the exposure on the outcome. Predicting the causal effect of these new…

Methodology · Statistics 2021-08-10 Ian Shrier , Etsuji Suzuki

Assessing causal effects in the presence of unobserved confounding is a challenging problem. Existing studies leveraged proxy variables or multiple treatments to adjust for the confounding bias. In particular, the latter approach attributes…

Methodology · Statistics 2023-10-17 Yong Wu , Mingzhou Liu , Jing Yan , Yanwei Fu , Shouyan Wang , Yizhou Wang , Xinwei Sun

Relationship between two popular modeling frameworks of causal inference from observational data, namely, causal graphical model and potential outcome causal model is discussed. How some popular causal effect estimators found in…

Methodology · Statistics 2014-11-03 Priyantha Wijayatunga

In the field of road safety epidemiology, it is common to use responsibility analyses to assess the effect of a given factor on the risk of being responsible for an accident, among drivers involved in an accident only. Using the SCM…

Applications · Statistics 2018-05-17 Marine Dufournet

The propensity score is a common tool for estimating the causal effect of a binary treatment in observational data. In this setting, matching, subclassification, imputation, or inverse probability weighting on the propensity score can…

Methodology · Statistics 2018-01-03 Michael J Lopez , Roee Gutman

In causal inference, and specifically in the \textit{Causes of Effects} problem, one is interested in how to use statistical evidence to understand causation in an individual case, and so how to assess the so-called {\em probability of…

Methodology · Statistics 2018-10-23 Fabio Corradi , Monica Musio

Causal inference for air pollution mixtures is an increasingly important issue with appreciable challenges. When the exposure is a multivariate mixture, there are many exposure contrasts that may be of nominal interest for causal effect…

Methodology · Statistics 2024-02-01 Joseph Antonelli , Corwin Zigler

The increase in the use of mobile and wearable devices now allows dense assessment of mediating processes over time. For example, a pharmacological intervention may have an effect on smoking cessation via reductions in momentary withdrawal…

Scientists have been interested in estimating causal peer effects to understand how people's behaviors are affected by their network peers. However, it is well known that identification and estimation of causal peer effects are challenging…

Methodology · Statistics 2021-09-07 Naoki Egami , Eric J. Tchetgen Tchetgen