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arXiv · 2302.03899

Potential Outcome and Decision Theoretic Foundations for Statistical Causality

Thomas S. Richardson·James M. Robins
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Abstract

In a recent paper published in the Journal of Causal Inference, Philip Dawid has described a graphical causal model based on decision diagrams. This article describes how single-world intervention graphs (SWIGs) relate to these diagrams. In this way, a correspondence is established between Dawid's approach and those based on potential outcomes such as Robins' Finest Fully Randomized Causally Interpreted Structured Tree Graphs. In more detail, a reformulation of Dawid's theory is given that is essentially equivalent to his proposal and isomorphic to SWIGs.

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Thomas S. Richardson, James M. Robins. 2023-02-08. Potential Outcome and Decision Theoretic Foundations for Statistical Causality. https://arxiv.org/abs/2302.03899

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