A causal inference framework for spatial confounding ...

Recently, addressing spatial confounding has become a major topic in spatial statistics. However, the literature has provided conflicting definitions, and many proposed definitions do not address the issue of confounding as it is understood in causal inference. We define spatial confounding as the e...

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Bibliographic Details
Main Authors: Gilbert, Brian, Datta, Abhirup, Casey, Joan A., Ogburn, Elizabeth L.
Format: Article in Journal/Newspaper
Language:unknown
Published: arXiv 2021
Subjects:
DML
Online Access:https://dx.doi.org/10.48550/arxiv.2112.14946
https://arxiv.org/abs/2112.14946
Description
Summary:Recently, addressing spatial confounding has become a major topic in spatial statistics. However, the literature has provided conflicting definitions, and many proposed definitions do not address the issue of confounding as it is understood in causal inference. We define spatial confounding as the existence of an unmeasured causal confounder with a spatial structure. We present a causal inference framework for nonparametric identification of the causal effect of a continuous exposure on an outcome in the presence of spatial confounding. We propose double machine learning (DML), a procedure in which flexible models are used to regress both the exposure and outcome variables on confounders to arrive at a causal estimator with favorable robustness properties and convergence rates, and we prove that this approach is consistent and asymptotically normal under spatial dependence. As far as we are aware, this is the first approach to spatial confounding that does not rely on restrictive parametric assumptions (such ... : update github link ...