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2010 Identifying the consequences of dynamic treatment strategies: A decision-theoretic overview
A. Philip Dawid, Vanessa Didelez
Statist. Surv. 4: 184-231 (2010). DOI: 10.1214/10-SS081

Abstract

We consider the problem of learning about and comparing the consequences of dynamic treatment strategies on the basis of observational data. We formulate this within a probabilistic decision-theoretic framework. Our approach is compared with related work by Robins and others: in particular, we show how Robins’s ‘G-computation’ algorithm arises naturally from this decision-theoretic perspective. Careful attention is paid to the mathematical and substantive conditions required to justify the use of this formula. These conditions revolve around a property we term stability, which relates the probabilistic behaviours of observational and interventional regimes. We show how an assumption of ‘sequential randomization’ (or ‘no unmeasured confounders’), or an alternative assumption of ‘sequential irrelevance’, can be used to infer stability. Probabilistic influence diagrams are used to simplify manipulations, and their power and limitations are discussed. We compare our approach with alternative formulations based on causal DAGs or potential response models. We aim to show that formulating the problem of assessing dynamic treatment strategies as a problem of decision analysis brings clarity, simplicity and generality.

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A. Philip Dawid. Vanessa Didelez. "Identifying the consequences of dynamic treatment strategies: A decision-theoretic overview." Statist. Surv. 4 184 - 231, 2010. https://doi.org/10.1214/10-SS081

Information

Published: 2010
First available in Project Euclid: 12 November 2010

zbMATH: 1274.62072
MathSciNet: MR2740837
Digital Object Identifier: 10.1214/10-SS081

Subjects:
Primary: 62C05
Secondary: 62A01

Keywords: Causal inference , G-computation , influence diagram , observational study , potential response , sequential decision theory , stability

Rights: Copyright © 2010 The author, under a Creative Commons Attribution License

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