Table 1:

Descriptive statistics for alternative data generating processes.

Outcomes DGP (β0)	Exposure DGP (α0)
	−2	−1.25	−0.3	0.5	1.5
−2	Pr(D) = 0.55	Pr(D) = 0.70	Pr(D) = 0.85	Pr(D) = 0.93	Pr(D) = 0.995
	E(Y) = 0.51	E(Y) = 0.54	E(Y) = 0.57	E(Y) = 0.57	E(Y) = 0.58
	ATE = 0.165	ATE = 0.165	ATE = 0.165	ATE = 0.165	ATE = 0.165
	TT= 0.168	TT= 0.176	TT= 0.176	TT= 0.172	TT= 0.170
	TUT =0.160	TUT =0.140	TUT =0.101	TUT =0.071	TUT =0.031
	LATE = 0.212	LATE = 0.198	LATE = 0.150	LATE = 0.098	LATE = 0.046
0.5	Pr(D) = 0.55	Pr(D) = 0.70	Pr(D) = 0.85	Pr(D) = 0.93	Pr(D) = 0.995
	E(Y) = 0.82	E(Y) = 0.84	E(Y) = 0.86	E(Y) = 0.87	E(Y) = 0.89
	ATE = 0.097	ATE = 0.097	ATE = 0.097	ATE = 0.097	ATE = 0.097
	TT= 0.044	TT= 0.060	TT= 0.078	TT= 0.088	TT=0.93
	TUT =0.162	TUT =0.181	TUT =0.202	TUT =0.201	TUT =0.172
	LATE = 0.100	LATE = 0.141	LATE = 0.192	LATE = 0.218	LATE = 0.203
1.5	Pr(D) = 0.55	Pr(D) = 0.70	Pr(D) = 0.85	Pr(D) = 0.93	Pr(D) = 0.995
	E(Y) = 0.93	E(Y) = 0.93	E(Y) = 0.93	E(Y) = 0.95	E(Y) = 0.95
	ATE = 0.058	ATE = 0.058	ATE = 0.058	ATE = 0.058	ATE = 0.058
	TT=0.017	TT=0.025	TT=0.038	TT=0.047	TT=0.054
	TUT =0.109	TUT =0.133	TUT =0.168	TUT =0.197	TUT =0.217
	LATE = 0.045	LATE = 0.075	LATE = 0.127	LATE = 0.178	LATE =0.220
2.5	Pr(D) = 0.55	Pr(D) = 0.70	Pr(D) = 0.85	Pr(D) = 0.93	Pr(D) = 0.995
	E(Y) = 0.96	E(Y) = 0.96	E(Y) = 0.96	E(Y) = 0.98	E(Y) = 0.98
	ATE = 0.029	ATE = 0.029	ATE = 0.029	ATE = 0.029	ATE = 0.029
	TT=0.005	TT=0.008	TT=0.014	TT=0.020	TT=0.023
	TUT =0.059	TUT =0.077	TUT =0.110	TUT =0.144	TUT =0.185
	LATE = 0.015	LATE = 0.029	LATE = 0.062	LATE = 0.107	LATE = 0.175

TT: Effect on the Treated; TUT: Effect on the Untreated; True values of TT and TUT are provided for information only