Table 1.

Integrated bias and root mean squared error (500 simulations)

		Bias (RMSE) when correct model is:
n	Method	Neither	Treatment	Outcome	Both
100	Reg	2.67 (5.54)	2.67 (5.54)	0.62 (5.25)	0.62 (5.25)
	IPW	2.26 (8.49)	1.64 (8.57)	2.26 (8.49)	1.64 (8.57)
	IPW*	2.26 (7.36)	1.58 (7.37)	2.26 (7.36)	1.58 (7.37)
	DR	2.23 (6.27)	1.01 (6.28)	1.12 (5.92)	1.10 (6.50)
	DR*	2.12 (5.48)	1.00 (5.36)	1.03 (5.08)	1.02 (5.65)
1000	Reg	2.62 (3.07)	2.62 (3.07)	0.06 (1.53)	0.06 (1.53)
	IPW	2.38 (3.97)	0.86 (2.94)	2.38 (3.97)	0.86 (2.94)
	IPW*	2.11 (3.44)	0.70 (2.34)	2.11 (3.44)	0.70 (2.34)
	DR	2.03 (3.11)	0.75 (2.39)	0.74 (2.53)	0.68 (2.25)
	DR*	1.84 (2.67)	0.64 (1.88)	0.61 (1.78)	0.58 (1.78)
10000	Reg	2.65 (2.70)	2.65 (2.70)	0.02 (0.47)	0.02 (0.47)
	IPW	2.36 (3.42)	0.33 (1.09)	2.36 (3.42)	0.33 (1.09)
	IPW*	2.24 (3.28)	0.35 (0.85)	2.24 (3.28)	0.35 (0.85)
	DR	1.81 (2.35)	0.26 (0.86)	0.20 (1.21)	0.25 (0.78)
	DR*	1.76 (2.27)	0.31 (0.68)	0.24 (1.10)	0.29 (0.64)

Notes: Bias / RMSE = integrated mean bias / root mean squared error; IPW = inverse probability weighted; Reg = regression; DR = doubly robust;

^*= uses oracle bandwidth.