Under the independent mechanisms assumption, survivor average causal effects and conditional separable effects are identified without adjustment for common causes of the post-treatment event and the outcome.
Separable effects for causal inference in the presence of com- peting events.Journal of the American Statistical Association, 117(537):175– 183
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Effects conditional on post-treatment events generated by independent mechanisms
Under the independent mechanisms assumption, survivor average causal effects and conditional separable effects are identified without adjustment for common causes of the post-treatment event and the outcome.