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Potential outcome and decision theoretic foundations for statistical causality

Author

Listed:
  • Richardson Thomas S.

    (Department of Statistics, University of Washington, Seattle, Washington, United States)

  • Robins James M.

    (Department of Epidemiology, Harvard School of Public Health, Boston, United States)

Abstract

In a recent work published in this journal, 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.

Suggested Citation

  • Richardson Thomas S. & Robins James M., 2023. "Potential outcome and decision theoretic foundations for statistical causality," Journal of Causal Inference, De Gruyter, vol. 11(1), pages 1-30, January.
  • Handle: RePEc:bpj:causin:v:11:y:2023:i:1:p:30:n:1
    DOI: 10.1515/jci-2022-0012
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