Identification and multiply robust estimation in causal mediation analysis across principal strata

arXiv:2304.10025v3 Announce Type: replace-cross
Abstract: We consider assessing causal mediation in the presence of a post-treatment event (examples include noncompliance, a clinical event, or a terminal event). We identify natural mediation effects for the entire study population and for each principal stratum characterized by the joint potential values of the post-treatment event. We derive efficient influence functions for each mediation estimand, which motivate a set of multiply robust estimators for inference. The multiply robust estimators are consistent under four types …

abstract analysis arxiv causal clinical effects event examples identification identify natural population robust stat.me stat.ml study terminal treatment type values