Discussion of "Principal stratication designs ..." James Robins, Andrea Rotnitzky and Stijn Vansteelandt We are grateful for the opportunity to discuss this paper. In this discussion, we i) question the plausibility of the authors’ substantive assumptions, ii) discuss the authors’ choice of scientic goals and their attainability, iii) comment on statistical issues and iv) describe a sensitivity analysis approach to the authors’ problem. i) Substantive assumptions. In §3 the authors show that under no interference and assumptions (I) (A, S (0) ,S (1)) Z |X, C =1 where C is the binary indicator of the critical event, e.g. car accident, and (II) S (1) = 1 w.p.1, an application of Bayes’ theo- rem implies identication of the joint distribution f (A, S |C =1,X ) from the distributions f (A|S =1,C =1,X ) and f (S|C =1,X ). Assumption 2 stipulates a dichotomous treatment factor Z which is guaranteed to pre- vent death. In the authors’ example, Z was transport time to hospital, a continuous variable that was dichotomized at 10 mins. As the authors recognize, treatments Z satisfying (II) rarely exist. For instance, a fraction of individuals injured in car accidents die almost imme- diately. For them, a "transport time to hospital" of less than 10 mins cannot prevent death. Yet, the empirical analysis of §4 reports that no deaths occurred in subjects with transport times of less than 10 mins. Possible explanations for the lack of deaths in the rapidly trans- ported would include (i) ambulance paramedics appropriately transport victims found dead at the scene less quickly than injured survivors, (ii) the chosen cutpoint of 10 minutes was data driven, and (iii) the number of high risk rapidly transported subjects (i.e. 11) was suciently small that all survived by chance. In §5 the authors replace assumption (II) with the monotonicity assumption that Z cannot cause death. However, it can be dicult to nd variables Z that satisfy monotonicity. For instance, the authors suggest that thrombolytic drug therapy after stroke is a treatment 1