For general matched observational studies, sensitivity analysis for the weak null cannot be simultaneously sharp for the sharp null; two procedures, one valid for heterogeneous effects but conservative and one sharp under constant effects but valid under extra conditions, implement the two sides.
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Testing weak nulls in matched observational studies
For general matched observational studies, sensitivity analysis for the weak null cannot be simultaneously sharp for the sharp null; two procedures, one valid for heterogeneous effects but conservative and one sharp under constant effects but valid under extra conditions, implement the two sides.