Table 2.

Performance of Point Estimation for Estimators when the initial estimate ${\overline{Q}}_n$ of ${\overline{Q}}_0$ is estimated on 10 and 20 out of 40 confounders.

Initial Fit		unadj	G-comp	WR	WR*	Hajek-BC	Hajek-BC*
10/40	Bias	−59.29	−9.69	−5.68	−3.11	−15.54	−12.29
	SE	8.43	3.36	2.66	2.75	5.80	6.63
	MSE	35.87	1.05	0.39	0.17	2.75	1.95
20/40	Bias	−59.91	−4.72	−2.77	−2.12	−7.56	−5.47
	SE	8.36	2.73	2.27	1.92	4.10	4.54
	MSE	36.59	0.30	0.13	0.08	0.74	0.51
Initial Fit		IPW	IPW*	Hajek-IPW	Hajek-IPW*	DR-IPW	DR-IPW*
	SE	36.55	91.38	4.85	8.21	2.63	3.02
	MSE	104.40	249.69	6.92	2.53	0.44	0.19
20/40	Bias	97.11	125.85	−25.60	−13.70	−2.92	−1.95
	SE	35.98	90.85	4.77	8.56	2.26	2.17
	MSE	107.23	240.75	6.78	2.61	0.14	0.09
Initial Fit		TMLE	TMLE*	CTMLE1	CTMLE0	CTMLE0*	orcale
10/40	Bias	−5.49	−1.23	−1.40	0.70	−0.64	0.36
	SE	2.57	3.46	3.56	3.38	4.40	1.83
	MSE	0.37	0.13	0.15	0.12	0.20	0.03
20/40	Bias	−2.68	−1.28	−1.38	0.08	−0.95	0.04
	SE	2.19	2.53	2.53	2.85	3.07	1.35
	MSE	0.12	0.08	0.08	0.08	0.10	0.02

Note: The results are computed based on simulations across 500 replications, each with a sample size of 1000 based on the NSAID study. All of the numeric values are on a scale of 10⁻².