Table 1.

Simulation Setup: Sensitivity Analyses

	Violation	Description
1	Treatment Model Misspecification I	X1 removed from treatment modela
2	Treatment Model Misspecification II	X2 removed from treatment modela
3	Treatment Model Misspecification III	X3 removed from treatment modelb
4	Non-Normal Errors	${\epsilon }_i~\mathrm{Gamma}\left(\alpha =8,\beta =\sqrt{2}\right)-8/\sqrt{2}$
5	Measurement Error	$X_1^{\mathit{obs}}=X_1+{\xi }_i;{\xi }_i~\mathcal{N}(0,{\left(1/20\right)}^2)$
6	Proportional Treatment Effect	${\delta }_i~\mathcal{N}(Y_i^{\ast }/5,{(Y_i^{\ast }/20)}^2)$

^a- Only applies to IPTW and Heckman Model

^b- Only applies to Heckman model