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Difference-in-differences (DID) is a popular approach to identify the causal effects of treatments and policies in the presence of unmeasured confounding. DID identifies the sample average treatment effect in the treated (SATT). However, a…

Methodology · Statistics 2024-06-21 Audrey Renson , Ellicott C. Matthay , Kara E. Rudolph

We provide a simple distribution regression estimator for treatment effects in the difference-in-differences (DiD) design. Our procedure is particularly useful when the treatment effect differs across the distribution of the outcome…

Econometrics · Economics 2026-05-20 Iván Fernández-Val , Jonas Meier , Aico van Vuuren , Francis Vella

Difference-in-differences (DID) approaches are widely used for estimating causal effects with observational data before and after an intervention. DID traditionally estimates the average treatment effect among the treated after making a…

Methodology · Statistics 2025-06-24 Julia C. Thome , Andrew J. Spieker , Peter F. Rebeiro , Chun Li , Tong Li , Bryan E. Shepherd

Difference-in-differences (DID) is commonly used to estimate treatment effects but is infeasible in settings where data are unpoolable due to privacy concerns or legal restrictions on data sharing, particularly across jurisdictions. In this…

Econometrics · Economics 2025-07-28 Sunny Karim , Matthew D. Webb , Nichole Austin , Erin Strumpf

Recently, there has been a surge in methodological development for the difference-in-differences (DiD) approach to evaluate causal effects. Standard methods in the literature rely on the parallel trends assumption to identify the average…

Methodology · Statistics 2023-10-17 Pan Zhao , Yifan Cui

This paper proposes a novel approach for estimating treatment effects in panel data settings, addressing key limitations of the standard difference-in-differences (DID) approach. The standard approach relies on the parallel trends…

Econometrics · Economics 2026-01-14 Shoya Ishimaru

Difference-in-differences (DiD) identification relies mainly on a parallel trends assumption about untreated potential outcomes. Researchers often relax this assumption by assuming conditional parallel trends within units with the same…

Methodology · Statistics 2026-05-05 Daniela Rodrigues , Laura A. Hatfield

Remarkable progress has been made in difference-in-differences (DID) approaches to causal inference that estimate the average effect of a treatment on the treated (ATT). Of these, the semiparametric DID (SDID) approach incorporates a…

Methodology · Statistics 2026-03-09 Takamichi Baba , Yoshiyuki Ninomiya

This paper studies Difference-in-Differences (DiD) setups with repeated cross-sectional data and potential compositional changes across time periods. We begin our analysis by deriving the efficient influence function and the semiparametric…

Econometrics · Economics 2025-11-17 Pedro H. C. Sant'Anna , Qi Xu

Consider a general setting in which data on an outcome is collected in two `groups' at two time periods, with certain group-periods deemed `treated' and others `untreated'. A special case is the canonical Difference-in-Differences (DiD)…

Methodology · Statistics 2025-09-15 Zach Shahn , Laura Hatfield

The Difference in Difference (DiD) estimator is a popular estimator built on the "parallel trends" assumption, which is an assertion that the treatment group, absent treatment, would change "similarly" to the control group over time. To…

Methodology · Statistics 2024-02-09 Dae Woong Ham , Luke Miratrix

A popular method for estimating a causal treatment effect with observational data is the difference-in-differences (DiD) model. In this work, we consider an extension of the classical DiD setting to the hierarchical context in which data…

Methodology · Statistics 2019-10-17 James Normington , Eric F. Lock , Thomas A. Murray , Caroline S. Carlin

Applied Difference-in-Differences studies often involve outcomes that are discrete, mixed, censored, or otherwise non-continuously distributed, while policy questions frequently concern distributional effects rather than mean effects alone.…

Econometrics · Economics 2026-05-22 Nelly K. Djuazon , Emmanuel Selorm Tsyawo

In longitudinal studies where units are embedded in space or a social network, interference may arise, meaning that a unit's outcome can depend on treatment histories of others. The presence of interference poses significant challenges for…

Methodology · Statistics 2025-08-26 Ye Wang , Michael Jetsupphasuk

This paper considers identification and estimation of causal effect parameters from participating in a binary treatment in a difference in differences (DID) setup when the parallel trends assumption holds after conditioning on observed…

Econometrics · Economics 2024-06-25 Carolina Caetano , Brantly Callaway , Stroud Payne , Hugo Sant'Anna Rodrigues

The method of difference-in-differences (DID) is widely used to study the causal effect of policy interventions in observational studies. DID employs a before and after comparison of the treated and control units to remove bias due to…

Methodology · Statistics 2022-06-15 Ting Ye , Luke Keele , Raiden Hasegawa , Dylan S. Small

Difference-in-differences (DID) is a widely used quasi-experimental design for causal inference, traditionally applied to scalar or Euclidean outcomes, while extensions to outcomes residing in non-Euclidean spaces remain limited. Existing…

Methodology · Statistics 2025-01-30 Yidong Zhou , Daisuke Kurisu , Taisuke Otsu , Hans-Georg Müller

This paper investigates efficient Difference-in-Differences (DiD) and Event Study (ES) estimation using short panel data sets within the heterogeneous treatment effect framework, free from parametric functional form assumptions and allowing…

Econometrics · Economics 2025-06-24 Xiaohong Chen , Pedro H. C. Sant'Anna , Haitian Xie

Causal inference on a population of units connected through a network often presents technical challenges, including how to account for interference. In the presence of local interference, for instance, potential outcomes of a unit depend…

Methodology · Statistics 2018-04-02 Laura Forastiere , Edoardo M. Airoldi , Fabrizia Mealli

We extend the continuity-based framework to Regression Discontinuity Designs (RDDs) to identify and estimate causal effects under interference when units are connected through a network. Assignment to an "effective treatment," combining the…

Methodology · Statistics 2025-11-20 Elena Dal Torrione , Tiziano Arduini , Laura Forastiere