Table 3.

Simulation for Nonregular Settings

	Stage	Baseline	Propensity Score	Important Variables
Setting 1	Stage 2	right	right	$(S^{(2)},A_1,S_1^{(1)})$
	Stage 1	right	right	$(S_1^{(1)})$
Setting 2	Stage 2	wrong	right	$(S^{(2)},A_1,S_1^{(1)})$
	Stage 1	right	right	$(S_1^{(1)},S_5^{(1)},S_6^{(1)})$
Setting 3	Stage 2	right	wrong	$(S^{(2)},A_1,S_1^{(1)})$
	Stage 1	right	right	$(S_1^{(1)})$
Setting 4	Stage 2	wrong	wrong	$(S^{(2)},A_1,S_1^{(1)})$
	Stage 1	right	right	$(S_1^{(1)},S_5^{(1)},S_6^{(1)})$