Jonathan Roth, Pedro H. C. Sant'Anna
arXiv 9 Oct 2020 · Econometrics · publishedEconometrica (2023) · 130 citations (OpenAlex)
arXiv:2010.04814 · PDF · DOI · OpenAlex · Extracted main text
This paper assesses when the validity of difference-in-differences depends on functional form. We provide a novel characterization: the parallel trends assumption holds under all strictly monotonic transformations of the outcome if and only if a stronger “parallel trends”-type condition holds for the cumulative distribution function of untreated potential outcomes. This condition for parallel trends to be insensitive to functional form is satisfied if and essentially only if the population can be partitioned into a subgroup for which treatment is effectively randomly assigned and a remaining subgroup for which the distribution of untreated potential outcomes is stable over time. These conditions have testable implications, and we introduce falsification tests for the null that parallel trends is insensitive to functional form.
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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 | Athey and Imbens (2006) Identification and Inference in Nonlinear Difference-in-Differences Models | 0.874 | 5 | 2 | 100% |
| 2 | Kahn-Lang and Lang (2020) The Promise and Pitfalls of Differences-in-Differences: Reflections on 16 and Pregnant and Other Applications | 0.644 | 2 | 2 | 100% |
| 3 | Cengiz, Dube, Lindner and Zipperer (2019) The Effect of Minimum Wages on Low-Wage Jobs | 0.585 | 3 | 1 | 100% |
| 4 | Canay and Shaikh (2017) Practical and Theoretical Advances in Inference for Partially Identified Models | 0.511 | 2 | 1 | 100% |
| 5 | Roth and Sant'Anna (2021) When Is Parallel Trends Sensitive to Functional Form? | 0.511 | 2 | 1 | 100% |
| 6 | Roth (2022) Pre-test with Caution: Event-study Estimates After Testing for Parallel Trends self | 0.511 | 2 | 1 | 100% |
| 7 | Bonhomme and Sauder (2011) Recovering Distributions in Difference-in-Differences models: A Comparison of Selective and Comprehensive Schooling | 0.405 | 1 | 1 | 100% |
| 8 | Abadie (2005) Semiparametric Difference-in-Differences Estimators | 0.405 | 1 | 1 | 100% |
| 9 | Almond, Hoynes and Schanzenbach (2011) Inside the War on Poverty: The Impact of Food Stamps on Birth Outcomes | 0.405 | 1 | 1 | 100% |
| 10 | Callaway and Li (2019) Quantile treatment effects in difference in differences models with panel data | 0.405 | 1 | 1 | 100% |
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arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.