Minimal sufficient causation and directed acyclic graphs

Details Minimal sufficient causation and directed acyclic graphs Minimal sufficient causation and directed acyclic graphs

2009-06-09

arxiv.org/abs/0906.1720v1

Annals of Statistics 2009, Vol. 37, No. 3, 1437-1465

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/08-AOS613 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of

Scientific paper

10.1214/08-AOS613

Notions of minimal sufficient causation are incorporated within the directed acyclic graph causal framework. Doing so allows for the graphical representation of sufficient causes and minimal sufficient causes on causal directed acyclic graphs while maintaining all of the properties of causal directed acyclic graphs. This in turn provides a clear theoretical link between two major conceptualizations of causality: one counterfactual-based and the other based on a more mechanistic understanding of causation. The theory developed can be used to draw conclusions about the sign of the conditional covariances among variables.

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