Robust Weighted Triangulation of Causal Effects Under Model Uncertainty

Fuente: arXiv
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Main Authors: Bhattacharya, Rohit, Ocelli, Ina, Westling, Ted
Format: Preprint
Published: 2026
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author Bhattacharya, Rohit
Ocelli, Ina
Westling, Ted
author_facet Bhattacharya, Rohit
Ocelli, Ina
Westling, Ted
contents A fundamental challenge in causal inference with observational data is correct specification of a causal model. When there is model uncertainty, analysts may seek to use estimates from multiple candidate models that rely on distinct, and possibly partially overlapping, sets of identifying assumptions to infer the causal effect, a process known as triangulation. Principled methods for triangulation, however, remain underdeveloped. Here, we develop a framework for causal effect triangulation that combines model testability methods from causal discovery with statistical inference methods from semiparametric theory, while avoiding explicit model selection and post-selection inference problems. We propose a triangulation functional that combines identified functionals from each model with data-driven measures of model validity. We provide a bound on the distance of the functional from the true causal effect along with conditions under which this distance can be taken to zero. Finally, we derive valid statistical inference for this functional. Our framework formalizes robustness under causal pluralism without requiring agreement across models or commitment to a single specification. We demonstrate its performance through simulations and an empirical application.
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id arxiv_https___arxiv_org_abs_2603_01119
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Robust Weighted Triangulation of Causal Effects Under Model Uncertainty
Bhattacharya, Rohit
Ocelli, Ina
Westling, Ted
Methodology
Artificial Intelligence
A fundamental challenge in causal inference with observational data is correct specification of a causal model. When there is model uncertainty, analysts may seek to use estimates from multiple candidate models that rely on distinct, and possibly partially overlapping, sets of identifying assumptions to infer the causal effect, a process known as triangulation. Principled methods for triangulation, however, remain underdeveloped. Here, we develop a framework for causal effect triangulation that combines model testability methods from causal discovery with statistical inference methods from semiparametric theory, while avoiding explicit model selection and post-selection inference problems. We propose a triangulation functional that combines identified functionals from each model with data-driven measures of model validity. We provide a bound on the distance of the functional from the true causal effect along with conditions under which this distance can be taken to zero. Finally, we derive valid statistical inference for this functional. Our framework formalizes robustness under causal pluralism without requiring agreement across models or commitment to a single specification. We demonstrate its performance through simulations and an empirical application.
title Robust Weighted Triangulation of Causal Effects Under Model Uncertainty
topic Methodology
Artificial Intelligence
url https://arxiv.org/abs/2603.01119