Triple Instrumented Difference-in-Differences

Sho Miyaji

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arXiv · 2501.14405

Triple Instrumented Difference-in-Differences

Sho Miyaji

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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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Sho Miyaji. 2025-01-24. Triple Instrumented Difference-in-Differences. https://arxiv.org/abs/2501.14405

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