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Main Authors: Jetsupphasuk, Michael, Li, Didong, Hudgens, Michael G.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2502.03414
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author Jetsupphasuk, Michael
Li, Didong
Hudgens, Michael G.
author_facet Jetsupphasuk, Michael
Li, Didong
Hudgens, Michael G.
contents Differences-in-differences (DiD) is a causal inference method for observational longitudinal data that assumes parallel expected potential outcome trajectories between treatment groups under the counterfactual scenario where all units receive a specific treatment. In this paper DiD is extended to allow for: (i) non-identically distributed treatment effects and exposure probabilities; (ii) interference, where treatment of one unit can affect outcomes in neighboring units; and (iii) latent variable dependence, where outcomes, treatments, and covariates may exhibit between-unit correlation. The causal estimand of interest is the network-averaged expected exposure effect if units received a specific exposure level, where a unit's exposure is a function of its own treatment and its neighbors' treatments. Under a conditional parallel trends assumption and suitable network dependency and heterogeneity conditions, a doubly robust estimator allowing for data-adaptive nuisance function estimation is proposed and shown to be consistent, asymptotically normal, and efficient. The proposed methods are evaluated in simulations and applied to study the effects of adopting emission control technologies in coal power plants on county-level mortality due to cardiovascular disease.
format Preprint
id arxiv_https___arxiv_org_abs_2502_03414
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Efficient nonparametric estimation with difference-in-differences in the presence of network dependence and interference
Jetsupphasuk, Michael
Li, Didong
Hudgens, Michael G.
Methodology
Differences-in-differences (DiD) is a causal inference method for observational longitudinal data that assumes parallel expected potential outcome trajectories between treatment groups under the counterfactual scenario where all units receive a specific treatment. In this paper DiD is extended to allow for: (i) non-identically distributed treatment effects and exposure probabilities; (ii) interference, where treatment of one unit can affect outcomes in neighboring units; and (iii) latent variable dependence, where outcomes, treatments, and covariates may exhibit between-unit correlation. The causal estimand of interest is the network-averaged expected exposure effect if units received a specific exposure level, where a unit's exposure is a function of its own treatment and its neighbors' treatments. Under a conditional parallel trends assumption and suitable network dependency and heterogeneity conditions, a doubly robust estimator allowing for data-adaptive nuisance function estimation is proposed and shown to be consistent, asymptotically normal, and efficient. The proposed methods are evaluated in simulations and applied to study the effects of adopting emission control technologies in coal power plants on county-level mortality due to cardiovascular disease.
title Efficient nonparametric estimation with difference-in-differences in the presence of network dependence and interference
topic Methodology
url https://arxiv.org/abs/2502.03414