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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

The Difference-in-Differences (DiD) method is a fundamental tool for causal inference, yet its application is often complicated by missing data. Although recent work has developed robust DiD estimators for complex settings like staggered…

Methodology · Statistics 2026-01-27 Lorenzo Testa , Edward H. Kennedy , Matthew Reimherr

Difference-in-differences (DID) is a method to evaluate the effect of a treatment. In its basic version, a "control group" is untreated at two dates, whereas a "treatment group" becomes fully treated at the second date. However, in many…

Methodology · Statistics 2023-04-18 Clement de Chaisemartin , Xavier D'Haultfoeuille

Matching-adjusted indirect comparison (MAIC) has been increasingly employed in health technology assessments (HTA). By reweighting subjects from a trial with individual participant data (IPD) to match the covariate summary statistics of…

Machine Learning · Statistics 2026-05-13 Yixin Fang , Weili He

In this article, we consider identification, estimation, and inference procedures for treatment effect parameters using Difference-in-Differences (DiD) with (i) multiple time periods, (ii) variation in treatment timing, and (iii) when the…

Econometrics · Economics 2020-12-02 Brantly Callaway , Pedro H. C. Sant'Anna

The article concerns hybrid combinations of empirical and parametric likelihood functions. Combining the two allows classical parametric likelihood to be crucially modified via the nonparametric counterpart, making possible model…

Statistics Theory · Mathematics 2024-09-25 Ingrid Dæhlen , Nils Lid Hjort

We address the problem of estimating heterogeneous treatment effects in panel data, adopting the popular Difference-in-Differences (DiD) framework under the conditional parallel trends assumption. We propose a novel doubly robust…

Machine Learning · Statistics 2025-04-29 Hui Lan , Haoge Chang , Eleanor Dillon , Vasilis Syrgkanis

Deep neural networks are behind many of the recent successes in machine learning applications. However, these models can produce overconfident decisions while encountering out-of-distribution (OOD) examples or making a wrong prediction.…

Machine Learning · Computer Science 2021-06-24 Navid Kardan , Ankit Sharma , Kenneth O. Stanley

This paper studies staggered Difference-in-Differences (DiD) design when there is a second event confounding the target event. When the events are correlated, the treatment and the control group are unevenly exposed to the effects of the…

Econometrics · Economics 2025-01-22 Lin-Tung Tsai

Measures of similarity (or dissimilarity) are a key ingredient to many machine learning algorithms. We introduce DID, a pairwise dissimilarity measure applicable to a wide range of data spaces, which leverages the data's internal structure…

Machine Learning · Statistics 2022-03-08 Théophile Cantelobre , Carlo Ciliberto , Benjamin Guedj , Alessandro Rudi

Difference-in-differences (DiD) is arguably the most popular quasi-experimental research design. Its canonical form, with two groups and two periods, is well-understood. However, empirical practices can be ad hoc when researchers go beyond…

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

State-level policy evaluations commonly employ a difference-in-differences (DID) study design; yet within this framework, statistical model specification varies notably across studies. Motivated by applied state-level opioid policy…

Difference-in-differences is one of the most used identification strategies in empirical work in economics. This chapter reviews a number of important, recent developments related to difference-in-differences. First, this chapter reviews…

Econometrics · Economics 2022-08-02 Brantly Callaway

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

A multitude of classifiers can be trained on the same data to achieve similar performances during test time, while having learned significantly different classification patterns. This phenomenon, which we call prediction discrepancies, is…

Machine Learning · Computer Science 2024-08-01 Xavier Renard , Thibault Laugel , Marcin Detyniecki

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

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

U.S. discrimination law can impose liability on firms that fail to adopt a less discriminatory alternative (LDA): a decision policy that achieves the same business objectives while reducing disparate impact on legally protected groups.…

Computers and Society · Computer Science 2026-05-21 Chris Hays , Ben Laufer , Solon Barocas , Manish Raghavan

We study the role of selection into treatment in difference-in-differences (DiD) designs. We derive necessary and sufficient conditions for parallel trends assumptions under general classes of selection mechanisms. These conditions…

Econometrics · Economics 2026-02-03 Dalia Ghanem , Pedro H. C. Sant'Anna , Kaspar Wüthrich