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Many interventions are both beneficial to initiate and harmful to stop. Traditionally, to determine whether to deploy that intervention in a time-limited way depends on if, on average, the increase in the benefits of starting it outweigh…

Many previous causal inference studies require no interference, that is, the potential outcomes of a unit do not depend on the treatments of other units. However, this no-interference assumption becomes unreasonable when a unit interacts…

Methodology · Statistics 2018-12-24 Xinran Li , Peng Ding , Qian Lin , Dawei Yang , Jun S. Liu

We present current methods for estimating treatment effects and spillover effects under "interference", a term which covers a broad class of situations in which a unit's outcome depends not only on treatments received by that unit, but also…

Applications · Statistics 2020-01-16 Peter M. Aronow , Dean Eckles , Cyrus Samii , Stephanie Zonszein

It is increasingly common to augment randomized controlled trial with external controls from observational data, to evaluate the treatment effect of an intervention. Traditional approaches to treatment effect estimation involve ambiguous…

Methodology · Statistics 2025-03-28 Bo Liu , Laine Thomas , Rury R. Holman , Fan Li

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

Attrition in survey and field experiments presents a challenge for social science research. Common approaches to deal with this problem -- such as complete case analysis, multiple imputation, and weighting methods -- rely on strong…

Methodology · Statistics 2026-04-13 Xiangyu Song

Most causal inference methods focus on estimating marginal average treatment effects, but many important causal estimands depend on the joint distribution of potential outcomes, including the probability of causation and proportions…

Methodology · Statistics 2025-10-16 Zach Shahn , David Madigan

An experimental unit is an opportunity to randomly apply or withhold a treatment. There is interference between units if the application of the treatment to one unit may also affect other units. In cognitive neuroscience, a common form of…

Methodology · Statistics 2017-01-11 Xi Luo , Dylan S. Small , Chiang-shan R. Li , Paul R. Rosenbaum

In settings where units' outcomes are affected by others' treatments, there has been a proliferation of ways to quantify effects of treatments on outcomes, including via indirect exposure to other units' treatments. Here we consider two…

Methodology · Statistics 2026-03-10 Sahil Loomba , Dean Eckles

We study causal inference in randomized experiments (or quasi-experiments) following a $2\times 2$ factorial design. There are two treatments, denoted $A$ and $B$, and units are randomly assigned to one of four categories: treatment $A$…

Econometrics · Economics 2024-12-12 Mate Kormos , Robert P. Lieli , Martin Huber

Outcome-dependent sampling designs are common in many different scientific fields including epidemiology, ecology, and economics. As with all observational studies, such designs often suffer from unmeasured confounding, which generally…

Methodology · Statistics 2020-10-13 Erin E. Gabriel , Michael C. Sachs , Arvid Sjölander

In panel experiments, we randomly assign units to different interventions, measuring their outcomes, and repeating the procedure in several periods. Using the potential outcomes framework, we define finite population dynamic causal effects…

Methodology · Statistics 2021-05-28 Iavor Bojinov , Ashesh Rambachan , Neil Shephard

This paper considers the estimation of treatment effects in randomized experiments with complex experimental designs, including cases with interference between units. We develop a design-based estimation theory for arbitrary experimental…

Econometrics · Economics 2025-05-27 Haoge Chang

Many research questions concern treatment effects on outcomes that can recur several times in the same individual. For example, medical researchers are interested in treatment effects on hospitalizations in heart failure patients and sports…

Methodology · Statistics 2024-12-31 Matias Janvin , Jessica G. Young , Pål C. Ryalen , Mats J. Stensrud

We propose a definition for the average indirect effect of a binary treatment in the potential outcomes model for causal inference under cross-unit interference. Our definition is analogous to the standard definition of the average direct…

Methodology · Statistics 2022-01-13 Yuchen Hu , Shuangning Li , Stefan Wager

Factorial experiments are ubiquitous in the social and biomedical sciences, but when units fail to comply with each assigned factors, identification and estimation of the average treatment effects become impossible without strong…

Methodology · Statistics 2025-08-06 Matthew Blackwell , Nicole E. Pashley

This paper provides a nonparametric framework for causal inference with categorical outcomes under binary treatment and binary instrument settings. I decompose the observed joint probability of outcomes and treatment into marginal…

Econometrics · Economics 2025-11-11 Onil Boussim

Most work in causal inference considers deterministic interventions that set each unit's treatment to some fixed value. However, under positivity violations these interventions can lead to non-identification, inefficiency, and effects with…

Methodology · Statistics 2018-06-20 Edward H. Kennedy

In this work, we consider causal inference in various high-dimensional treatment settings, including for single multi-valued treatments and vector treatments with binary or continuous components, when the number of treatments can be…

Statistics Theory · Mathematics 2026-02-26 Patrick Kramer , Edward H. Kennedy , Isaac M. Opper

We establish the inferential properties of the mean-difference estimator for the average treatment effect in randomized experiments where each unit in a population is randomized to one of two treatments and then units within treatment…

Statistics Theory · Mathematics 2019-02-19 Zach Branson , Tirthankar Dasgupta