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A Toolkit for the Study of Treatment-Effect Discontinuities

Alessandro Baldi Antognini, Paolo Verme

arXiv 26 Jun 2026 · Econometrics

arXiv:2606.28017 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper provides a toolkit for the study of distributional treatment effects (DTEs) focused on treatment-effect discontinuities defined as points where marginal distributional effects change sign. Building on the Treatment Effects Curve (TEC, Verme, 2010), the paper makes three contributions. First, we propose a methodological framework comprising a Horizontal Discontinuity Analysis (HDA) comparing groups in regions of opposite-signed effects using causal forests, and a Vertical Discontinuity Analysis (VDA) examining sign-switch points. Second, we adapt crossing-point asymptotics to locate where a TEC crosses zero and to test the non-tangentiality of its local slope with a bias-corrected Wald statistic. Third, we illustrate the full workflow on synthetic data and add a diagnostic application to Mexico's PROGRESA data. The paper shows how these contributions complement and expand existing instruments for DTE analyses.

Citation extraction

44
references
63
in-text mentions
44
distinct cited
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self-citations
13,321
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
1Manuela Angelucci and Giacomo De Giorgi (2009) Indirect effects of an aid program: How do cash transfers affect ineligibles' consumption?1.00053100%
2S. J. Sheather and M. C. Jones (1991) A reliable data-based bandwidth selection method for kernel density estimation0.92843100%
3Paolo Verme (2010) Stochastic dominance, poverty and the treatment effect curve self0.84333100%
4Susan Athey, Julie Tibshirani, and Stefan Wager (2019) Generalized random forests0.84333100%
5Stefan Wager and Susan Athey (2019) Estimation and inference of heterogeneous treatment effects using random forests0.84333100%
6Garry F. Barrett and Stephen G. Donald (2003) Consistent tests for stochastic dominance0.64422100%
7Victor Chernozhukov, Mert Demirer, Esther Duflo, and Iván Fernández-… (2018) Generic machine learning inference on heterogeneous treatment effects in randomized experiments, with an application to immuniza…0.64422100%
8Russell Davidson and Jean-Yves Duclos (2000) Statistical inference for stochastic dominance and for the measurement of poverty and inequality0.64422100%
9Anthony B. Atkinson (1970) On the measurement of inequality0.51121100%
10Marianne P. Bitler, Jonah B. Gelbach, and Hilary W. Hoynes (2006) What mean impacts miss: Distributional effects of welfare reform experiments0.51121100%

Showing the top 10 of 44 scored citations.