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Media type:
E-Article
Title:
A GENERALIZED BACK-DOOR CRITERION
Contributor:
Maathuis, Marloes H.;
Colombo, Diego
Published:
Institute of Mathematical Statistics, 2015
Published in:
The Annals of Statistics, 43 (2015) 3, Seite 1060-1088
Language:
English
ISSN:
0090-5364
Origination:
Footnote:
Description:
We generalize Pearl's back-door criterion for directed acyclic graphs (DAGs) to more general types of graphs that describe Markov equivalence classes of DAGs and/or allow for arbitrarily many hidden variables. We also give easily checkable necessary and sufficient graphical criteria for the existence of a set of variables that satisfies our generalized back-door criterion, when considering a single intervention and a single outcome variable. Moreover, if such a set exists, we provide an explicit set that fulfills the criterion. We illustrate the results in several examples. R-code is available in the R-package pcalg.