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Abstract:In this note we give proofs for results relating to the Instrumental Variable (IV) model with binary response $Y$ and binary treatment $X$, but with an instrument $Z$ with $K$ states. These results were originally stated in Richardson & Robins (2014), "ACE Bounds; SEMS with Equilibrium Conditions," arXiv:1410.0470.
* 27 pages, 1 figure, 1 table. Proofs of Theorems 1 and 2 stated in
Richardson and Robins (2014) [arXiv:1410.0470]. v2 improves the writing in a
few places