A Sensitivity Approach to Causal Inference Under Limited Overlap

Fuente: arXiv
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Main Authors: Ma, Yuanzhe, Huang, Yian, Namkoong, Hongseok
Format: Preprint
Published: 2025
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author Ma, Yuanzhe
Huang, Yian
Namkoong, Hongseok
author_facet Ma, Yuanzhe
Huang, Yian
Namkoong, Hongseok
contents Limited overlap between treated and control groups is a key challenge in observational analysis. Standard approaches like trimming importance weights can reduce variance but introduce a fundamental bias. We propose a sensitivity framework for contextualizing findings under limited overlap, where we assess how irregular the outcome function has to be in order for the main finding to be invalidated. Our approach is based on worst-case confidence bounds on the bias introduced by standard trimming practices, under explicit assumptions necessary to extrapolate counterfactual estimates from regions of overlap to those without. Empirically, we demonstrate how our sensitivity framework protects against spurious findings by quantifying uncertainty in regions with limited overlap.
format Preprint
id arxiv_https___arxiv_org_abs_2511_22003
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Sensitivity Approach to Causal Inference Under Limited Overlap
Ma, Yuanzhe
Huang, Yian
Namkoong, Hongseok
Machine Learning
Methodology
Limited overlap between treated and control groups is a key challenge in observational analysis. Standard approaches like trimming importance weights can reduce variance but introduce a fundamental bias. We propose a sensitivity framework for contextualizing findings under limited overlap, where we assess how irregular the outcome function has to be in order for the main finding to be invalidated. Our approach is based on worst-case confidence bounds on the bias introduced by standard trimming practices, under explicit assumptions necessary to extrapolate counterfactual estimates from regions of overlap to those without. Empirically, we demonstrate how our sensitivity framework protects against spurious findings by quantifying uncertainty in regions with limited overlap.
title A Sensitivity Approach to Causal Inference Under Limited Overlap
topic Machine Learning
Methodology
url https://arxiv.org/abs/2511.22003