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Identification of Local Causal Effects with Missing Outcome Values and an Instrument for Non Response
Authors:Alessandra Mattei  Fabrizia Mealli  Barbara Pacini
Institution:1. Dipartimento di Statistica , Informatica, Applicazioni, Università di Firenze , Florence , Italy mattei@disia.unifi.it;3. Dipartimento di Statistica , Informatica, Applicazioni, Università di Firenze , Florence , Italy;4. Dipartimento di Scienze Politiche , Università di Pisa , Pisa , Italy
Abstract:Even in randomized experiments the identification of causal effects is often threatened by the presence of missing outcome values, with missingness possibly being non ignorable. We provide sufficient conditions under which the availability of a binary instrument for non response allows us to non parametrically point identify average causal effects in some latent subgroups of units, named Principal Strata, defined by their non response behavior in all possible combinations of treatment and instrument. Examples are provided as possible scenarios where our assumptions may be plausible.
Keywords:Causal inference  Instrument variables  Nonignorable missing outcomes  Principal stratification
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