Nora Bearth, Nadja van 't Hoff, Torben S. D. Johansen
arXiv 23 Jun 2026 · Econometrics
arXiv:2606.24785 · PDF · DOI · OpenAlex · Extracted main text
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.
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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.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Callaway, Brantly and Sant’Anna, Pedro HC (2021) Difference-in-Differences with Multiple Time Periods | 1.000 | 7 | 3 | 100% |
| 2 | Caron, Laura (2025) Triple Difference Designs with Heterogeneous Treatment Effects | 0.874 | 12 | 2 | 100% |
| 3 | Bearth, Nora and Lechner, Michael (2025) Causal Machine Learning for Moderation Effects self | 0.843 | 3 | 3 | 100% |
| 4 | Strezhnev, Anton (2023) Decomposing Triple-Differences Regression under Staggered Adoption | 0.737 | 3 | 2 | 100% |
| 5 | Kennedy, Edward H (2024) Semiparametric Doubly Robust Targeted Double Machine Learning: A Review | 0.585 | 5 | 3 | 20% |
| 6 | Athey, Susan and Tibshirani, Julie and Wager, Stefan (2019) Generalized Random Forests | 0.511 | 2 | 1 | 100% |
| 7 | Oaxaca, Ronald (1973) Male-Female Wage Differentials in Urban Labor Markets | 0.511 | 2 | 1 | 100% |
| 8 | Ortiz-Villavicencio, Marcelo and Sant'Anna, Pedro HC (2025) Better Understanding Triple Differences Estimators | 0.511 | 2 | 1 | 100% |
| 9 | Kennedy, Edward H (2023) Towards Optimal Doubly Robust Estimation of Heterogeneous Causal Effects | 0.405 | 1 | 1 | 100% |
| 10 | Abadie, Alberto (2005) Semiparametric Difference-in-Differences Estimators | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 37 scored citations.