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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

This study introduces a new approach to power analysis in the context of estimating a local average treatment effect (LATE), where the study subjects exhibit noncompliance with treatment assignment. As a result of distributional…

Methodology · Statistics 2020-04-10 Kirk Bansak

Multivariate outcomes are common in pragmatic cluster randomized trials. While sample size calculation procedures for multivariate outcomes exist under parallel assignment, none have been developed for a stepped wedge design. In this…

Methodology · Statistics 2022-12-05 Kendra Davis-Plourde , Monica Taljaard , Fan Li

We propose a new method for estimating causal effects in longitudinal/panel data settings that we call generalized difference-in-differences. Our approach unifies two alternative approaches in these settings: ignorability estimators (e.g.,…

Methodology · Statistics 2023-12-12 Denis Agniel , Max Rubinstein , Jessie Coe , Maria DeYoreo

Quasi-experimental methods have proliferated over the last two decades, as researchers develop causal inference tools for settings in which randomization is infeasible. Two popular such methods, difference-in-differences (DID) and…

Methodology · Statistics 2020-07-09 Carrie E. Fry , Laura A. Hatfield

This paper studies the identification, estimation, and inference of long-term (binary) treatment effect parameters when balanced panel data is not available, or consists of only a subset of the available data. We develop a new estimator:…

Econometrics · Economics 2025-02-04 Christophe Bellégo , David Benatia , Vincent Dortet-Bernardet

We propose a difference-in-differences (DiD) framework designed for time-varying continuous treatments across multiple periods. Specifically, we estimate the average treatment effect on the treated (ATET) by comparing distinct non-zero…

Econometrics · Economics 2026-01-16 Michel F. C. Haddad , Martin Huber , José Eduardo Medina-Reyes , Lucas Z. Zhang

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

When designing experimental studies with human participants, experimenters must decide how many trials each participant will complete, as well as how many participants to test. Most discussion of statistical power (the ability of a study…

Neurons and Cognition · Quantitative Biology 2021-08-30 Daniel H. Baker , Greta Vilidaite , Freya A. Lygo , Anika K. Smith , Tessa R. Flack , Andre D. Gouws , Timothy J. Andrews

Difference-in-differences (DID) is one of the most popular tools used to evaluate causal effects of policy interventions. This paper extends the DID methodology to accommodate interval outcomes, which are often encountered in empirical…

Econometrics · Economics 2025-12-10 Daisuke Kurisu , Yuta Okamoto , Taisuke Otsu

While a difference-in-differences (DID) design was originally developed with one pre- and one post-treatment period, data from additional pre-treatment periods are often available. How can researchers improve the DID design with such…

Applications · Statistics 2022-02-14 Naoki Egami , Soichiro Yamauchi

This study extends power formulas proposed by Schochet (2008) assuming that the cluster-level score variable follows quadratic functional form. Results reveal that we need not be concerned with treatment by linear term interaction, and…

Methodology · Statistics 2020-06-09 Metin Bulus

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

Stepped wedge designs (SWDs) are designs for cluster randomized trials that feature staggered, unidirectional cross-over, typically from a control to a treatment condition. Existing literature on statistical power for SWDs primarily focuses…

Methodology · Statistics 2020-10-07 Phillip T. Sundin , Catherine M. Crespi

We study estimation of the local average treatment effect on the treated ($LATT$) in instrumented difference-in-differences (IDiD) designs with covariates and staggered instrument exposure. We derive the efficient influence function (EIF)…

Econometrics · Economics 2026-05-06 Jonas Skjold Raaschou-Pedersen

This study investigates the identification power gained by combining experimental data, in which treatment is randomized, with observational data, in which treatment is self-selected, for distributional treatment effect (DTE) parameters.…

Econometrics · Economics 2026-04-24 Shosei Sakaguchi

Many policy evaluations involve vectors of category-specific quantities, either categorical outcomes (e.g., employment type, major choice) or compositional measures (e.g., GDP by sector, votes by party, electricity generation by source). In…

Econometrics · Economics 2026-02-19 Onil Boussim

Leveraging external controls -- relevant individual patient data under control from external trials or real-world data -- has the potential to reduce the cost of randomized controlled trials (RCTs) while increasing the proportion of trial…

Methodology · Statistics 2022-07-13 Yanyao Yi , Ying Zhang , Yu Du , Ting Ye

Applied analysts often use the differences-in-differences (DID) method to estimate the causal effect of policy interventions with observational data. The method is widely used, as the required before and after comparison of a treated and…

Applications · Statistics 2019-02-04 Luke J. Keele , Dylan S. Small , Jesse Y. Hsu , Colin B. Fogarty

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