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Group-Level Treatment Effect Heterogeneity in Difference-in-Differences: A Balanced Approach

Nora Bearth, Nadja van 't Hoff, Torben S. D. Johansen

arXiv 23 Jun 2026 · Econometrics

arXiv:2606.24785 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Understanding how treatment effects vary across groups is central to policy evaluation. In Difference-in-Differences designs, heterogeneity is often studied using subgroup or triple-difference analyses, which can suffer from conservative inference, reliance on parametric interaction structures, and sensitivity to differences in covariate distributions across groups. We propose the Balanced Group Average Treatment Effect on the Treated (BGATT), a new estimand that isolates heterogeneity in treatment responses from differences in covariate composition and is identified under standard conditional parallel-trends assumptions. BGATT provides a transparent target for comparing group-specific treatment effects. We derive an influence-function representation and develop estimators that are $\sqrt{n}$-consistent and asymptotically normal under flexible machine-learning estimation of high-dimensional nuisance components, enabling valid inference on both group-specific effects and differences across groups. Simulation evidence shows favorable finite-sample performance.

Citation extraction

37
references
65
in-text mentions
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distinct cited
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main-text words

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Callaway, Brantly and Sant’Anna, Pedro HC (2021) Difference-in-Differences with Multiple Time Periods1.00073100%
2Caron, Laura (2025) Triple Difference Designs with Heterogeneous Treatment Effects0.874122100%
3Bearth, Nora and Lechner, Michael (2025) Causal Machine Learning for Moderation Effects self0.84333100%
4Strezhnev, Anton (2023) Decomposing Triple-Differences Regression under Staggered Adoption0.73732100%
5Kennedy, Edward H (2024) Semiparametric Doubly Robust Targeted Double Machine Learning: A Review0.5855320%
6Athey, Susan and Tibshirani, Julie and Wager, Stefan (2019) Generalized Random Forests0.51121100%
7Oaxaca, Ronald (1973) Male-Female Wage Differentials in Urban Labor Markets0.51121100%
8Ortiz-Villavicencio, Marcelo and Sant'Anna, Pedro HC (2025) Better Understanding Triple Differences Estimators0.51121100%
9Kennedy, Edward H (2023) Towards Optimal Doubly Robust Estimation of Heterogeneous Causal Effects0.40511100%
10Abadie, Alberto (2005) Semiparametric Difference-in-Differences Estimators0.40511100%

Showing the top 10 of 37 scored citations.