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Triple Instrumented Difference-in-Differences

Sho Miyaji

arXiv 24 Jan 2025 · Econometrics

arXiv:2501.14405 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In this paper, we formalize a triple instrumented difference-in-differences (DID-IV). In this design, a triple Wald-DID estimand, which divides the difference-in-difference-in-differences (DDD) estimand of the outcome by the DDD estimand of the treatment, captures the local average treatment effect on the treated. The identifying assumptions mainly comprise a monotonicity assumption, and the common acceleration assumptions in the treatment and the outcome. We extend the canonical triple DID-IV design to staggered instrument cases. We also describe the estimation and inference in this design in practice.

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21
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57
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21
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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
1Miyaji (2024) Instrumented Difference-in-Differences with Heterogeneous Treatment Effects self1.000143100%
2de Chaisemartin (2010) A Note on Instrumented Difference in Differences0.87452100%
3Fröhlich, Frölich and Sperlich (2019) Impact Evaluation0.81142100%
4Hudson, Hull and Liebersohn (2017) Interpreting Instrumented Difference-in-Differences0.81142100%
5Olden and Men (2022) The Triple Difference Estimator0.81142100%
6Wooldridge (2020) Introductory Econometrics: A Modern Approach0.81142100%
7Callaway and Sant'Anna (2021) Difference-in-Differences with Multiple Time Periods0.73732100%
8Deschênes, Greenstone and Shapiro (2017) Defensive Investments and the Demand for Air Quality: Evidence from the NOx Budget Program0.73732100%
9Black, Devereux and Salvanes (2005) Why the Apple Doesn't Fall Far: Understanding Intergenerational Transmission of Human Capital0.51121100%
10Imbens and Angrist (1994) Identification and Estimation of Local Average Treatment Effects0.51121100%

Showing the top 10 of 21 scored citations.