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Bounding the Probability of Causation in Mediation Analysis

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Topics on Methodological and Applied Statistical Inference

Abstract

Given empirical evidence for the dependence of an outcome variable on an exposure variable, we can typically only provide bounds for the “probability of causation” in the case of an individual who has developed the outcome after being exposed. We show how these bounds can be adapted or improved if further information becomes available. In addition to reviewing existing work on this topic, we provide a new analysis for the case where a mediating variable can be observed. In particular, we show how the probability of causation can be bounded when there is no direct effect and no confounding.

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Correspondence to A. Philip Dawid .

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Dawid, A.P., Murtas, R., Musio, M. (2016). Bounding the Probability of Causation in Mediation Analysis. In: Di Battista, T., Moreno, E., Racugno, W. (eds) Topics on Methodological and Applied Statistical Inference. Studies in Theoretical and Applied Statistics(). Springer, Cham. https://doi.org/10.1007/978-3-319-44093-4_8

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