Design-Based Analysis in Difference-in-Differences Settings with Staggered Adoption

Working Paper: NBER ID: w24963

Authors: Susan Athey; Guido W. Imbens

Abstract: In this paper we study estimation of and inference for average treatment effects in a setting with panel data. We focus on the setting where units, e.g., individuals, firms, or states, adopt the policy or treatment of interest at a particular point in time, and then remain exposed to this treatment at all times afterwards. We take a design perspective where we investigate the properties of estimators and procedures given assumptions on the assignment process. We show that under random assignment of the adoption date the standard Difference-In-Differences estimator is an unbiased estimator of a particular weighted average causal effect. We characterize the properties of this estimand, and show that the standard variance estimator is conservative.

Keywords: No keywords provided

JEL Codes: C01; C23; C31


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
random adoption date (Y70)unbiased DID estimator (C51)
random adoption date (Y70)weighted average causal effect (C22)
DID estimator (C51)captures effect of switching from never adopting to adopting in the first period (C24)
random adoption date (Y70)conservative variance of DID estimator (C51)

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