Causal Inference by Surrogate Experiments: zIdentifiability
Elias Bareinboim, Judea Pearl
Abstract:
We address the problem of estimating the effect of intervening on a set of variables X from experiments on a different set, Z, that is more accessible to manipulation. This problem, which we call zidentifiability, reduces to ordinary identifiability when Z = empty and, like the latter, can be given syntactic characterization using the docalculus [Pearl, 1995; 2000]. We provide a graphical necessary and sufficient condition for zidentifiability for arbitrary sets X,Z, and Y (the outcomes). We further develop a complete algorithm for computing the causal effect of X on Y using information provided by experiments on Z. Finally, we use our results to prove completeness of docalculus relative to zidentifiability, a result that does not follow from completeness relative to ordinary identifiability.
Keywords:
Pages: 113120
PS Link:
PDF Link: /papers/12/p113bareinboim.pdf
BibTex:
@INPROCEEDINGS{Bareinboim12,
AUTHOR = "Elias Bareinboim
and Judea Pearl",
TITLE = "Causal Inference by Surrogate Experiments: zIdentifiability",
BOOKTITLE = "Proceedings of the TwentyEighth Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI12)",
PUBLISHER = "AUAI Press",
ADDRESS = "Corvallis, Oregon",
YEAR = "2012",
PAGES = "113120"
}

