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Non-linear Triple Changes Estimator for Targeted Policies

Sina Akbari, Negar Kiyavash

arXiv 19 Feb 2024 · Statistics — Methodology

arXiv:2402.12583 · PDF · DOI · OpenAlex · Extracted main text

Abstract

The renowned difference-in-differences (DiD) estimator relies on the assumption of 'parallel trends,' which does not hold in many practical applications. To address this issue, the econometrics literature has turned to the triple difference estimator. Both DiD and triple difference are limited to assessing average effects exclusively. An alternative avenue is offered by the changes-in-changes (CiC) estimator, which provides an estimate of the entire counterfactual distribution at the cost of relying on (stronger) distributional assumptions. In this work, we extend the triple difference estimator to accommodate the CiC framework, presenting the `triple changes estimator' and its identification assumptions, thereby expanding the scope of the CiC paradigm. Subsequently, we empirically evaluate the proposed framework and apply it to a study examining the impact of Medicaid expansion on children's preventive care.

Citation extraction

25
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32
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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
1Susan Athey and Guido W Imbens (2006) Identification and inference in nonlinear difference-in-differences models1.00083100%
2Orley C Ashenfelter and David Card (1984) Using the longitudinal structure of earnings to estimate the effect of training programs, 19840.40511100%
3Yann Brenier (1991) Polar factorization and monotone rearrangement of vector-valued functions0.40511100%
4Brantly Callaway, Andrew Goodman-Bacon, and Pedro HC Sant'Anna (2021) Difference-in-differences with a continuous treatment0.40511100%
5David Card and Alan B Krueger (1993) Minimum wages and employment: A case study of the fast food industry in new jersey and pennsylvania, 19930.40511100%
6Qihui Chen, Xueling Chu, Suzhen Wang, and Bo Zhang (2020) A triple-difference approach to re-evaluating the impact of china’s new cooperative medical scheme on incidences of chronic dise…0.40511100%
7Alexander M Franks, Alexander D’Amour, and Avi Feller (2019) Flexible sensitivity analysis for observational studies without observable implications0.40511100%
8AmirEmad Ghassami, Alan Yang, David Richardson, Ilya Shpitser, and E… (2022) Combining experimental and observational data for identification and estimation of long-term causal effects0.40511100%
9Jonathan Gruber (1994) The incidence of mandated maternity benefits0.40511100%
10SeungHoon Han, Charles C Branas, and John M MacDonald (2016) The effect of a sunday liquor-sales ban repeal on crime: A triple-difference analysis0.40511100%

Showing the top 10 of 25 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Three’s a crowd: Identification challenges in the triple difference model with spillover effects0.40511