Substitute adjustment via recovery of latent variables

arXiv:2403.00202v1 Announce Type: cross
Abstract: The deconfounder was proposed as a method for estimating causal parameters in a context with multiple causes and unobserved confounding. It is based on recovery of a latent variable from the observed causes. We disentangle the causal interpretation from the statistical estimation problem and show that the deconfounder in general estimates adjusted regression target parameters. It does so by outcome regression adjusted for the recovered latent variable termed the substitute. We refer to the general …

abstract arxiv confounding context interpretation math.st multiple parameters recovery show statistical stat.ml stat.th type variables via