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Empirical work often uses treatment assigned following geographic boundaries. When the effects of treatment cross over borders, classical difference-in-differences estimation produces biased estimates for the average treatment effect. In…

Econometrics · Economics 2023-06-13 Kyle Butts

Exposure mappings are widely used to model potential outcomes in the presence of interference, where each unit's outcome may depend not only on its own treatment, but also on the treatment of other units as well. However, in practice these…

Methodology · Statistics 2018-07-02 David Choi

In settings where interference is present, direct effects are commonly defined as the average effect of a unit's treatment on their own outcome while fixing the treatment status or probability among interfering units, and spillover effects…

Methodology · Statistics 2025-06-10 Fei Fang , Edoardo M Airoldi , Laura Forastiere

I study identification, estimation and inference for spillover effects in experiments where units' outcomes may depend on the treatment assignments of other units within a group. I show that the commonly-used reduced-form linear-in-means…

Econometrics · Economics 2022-01-21 Gonzalo Vazquez-Bare

This paper shows how to use a randomized saturation experimental design to identify and estimate causal effects in the presence of spillovers--one person's treatment may affect another's outcome--and one-sided non-compliance--subjects can…

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

In estimating spillover effects under network interference, practitioners often use linear regression with either the number or fraction of treated neighbors as regressors. An often overlooked fact is that the latter is undefined for units…

Econometrics · Economics 2024-12-10 Bora Kim

This paper investigates the case of interference, when a unit's treatment also affects other units' outcome. When interference is at work, policy evaluation mostly relies on the use of randomized experiments under cluster interference and…

Methodology · Statistics 2023-06-13 Laura Forastiere , Davide Del Prete , Valerio Leone Sciabolazza

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

Estimating causal effects is vital for decision making. In standard causal effect estimation, treatments are usually binary- or continuous-valued. However, in many important real-world settings, treatments can be structured,…

Machine Learning · Statistics 2024-12-02 Oriol Corcoll Andreu , Athanasios Vlontzos , Michael O'Riordan , Ciaran M. Gilligan-Lee

This paper develops a difference-in-differences framework for staggered policy adoption when units can be affected by other units' adoption. For each treated cohort and event time, the framework separates the effect of own adoption, the…

Econometrics · Economics 2026-05-15 Hayato Tagawa

We study treatment-effect estimation using panel data. The treatment may be non-binary, non-absorbing, and the outcome may be affected by treatment lags. We make a parallel-trends assumption, and propose event-study estimators of the effect…

Econometrics · Economics 2026-05-13 Clément de Chaisemartin , Xavier D'Haultfœuille

Policy interventions can spill over to units of a population that are not directly exposed to the policy but are geographically close to the units receiving the intervention. In recent work, investigations of spillover effects on…

Methodology · Statistics 2023-03-14 Youjin Lee , Gary Hettinger , Nandita Mitra

We investigate large-sample properties of treatment effect estimators under unknown interference in randomized experiments. The inferential target is a generalization of the average treatment effect estimand that marginalizes over potential…

Statistics Theory · Mathematics 2019-10-25 Fredrik Sävje , Peter M. Aronow , Michael G. Hudgens

In most real-world systems units are interconnected and can be represented as networks consisting of nodes and edges. For instance, in social systems individuals can have social ties, family or financial relationships. In settings where…

Methodology · Statistics 2018-07-31 Laura Forastiere , Fabrizia Mealli , Albert Wu , Edoardo Airoldi

When experimental subjects can interact with each other, the outcome of one individual may be affected by the treatment status of others. In many social science experiments, such spillover effects may occur through multiple networks, for…

Methodology · Statistics 2021-07-01 Naoki Egami

We study a continuous treatment effect model in the presence of treatment spillovers through social networks. We assume that one's outcome is affected not only by his/her own treatment but also by a (weighted) average of his/her neighbors'…

Econometrics · Economics 2023-01-12 Tadao Hoshino

This paper studies the identification and estimation of heterogeneous effects of an endogenous treatment under interference and spillovers in a large single-network setting. We model endogenous treatment selection as an equilibrium outcome…

Econometrics · Economics 2025-12-17 Lin Chen , Yuya Sasaki

Classical causal inference assumes treatments meant for a given unit do not have an effect on other units. This assumption is violated in interference problems, where new types of spillover causal effects arise, and causal inference becomes…

Methodology · Statistics 2024-09-30 Ilya Shpitser , Chan Park , Eric Tchetgen Tchetgen , Ryan Andrews

Interference or spillover effects arise when an individual's outcome (e.g., health) is influenced not only by their own treatment (e.g., vaccination) but also by the treatment of others, creating challenges for evaluating treatment effects.…

Econometrics · Economics 2026-01-12 Martin Huber , Jannis Kueck , Mara Mattes
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