. Author manuscript; available in PMC: 2018 Jul 10.

Published in final edited form as: Stat Methods Med Res. 2017 Dec 11;28(4):1044–1063. doi: 10.1177/0962280217744588

Table 3.

Coverage of the 95% confidence intervals for semi-parametric efficient estimators when the initial estimate ${\bar{Q}}_{n}$ of ${\bar{Q}}_{0}$ is estimated on 10 and 20 out of 40 confounders.

		CTMLE1	CTMLE0	CTMLE0*	DR-IPW	DR-IPW*	TMLE	TMLE*	oracle
10/40	Coverage	0.926	0.920	0.910	0.458	0.914	0.526	0.942	1.000
	Average Length	0.142	0.115	0.142	0.120	0.159	0.119	0.144	0.153
20/40	Coverage	0.934	0.872	0.898	0.748	0.928	0.790	0.946	1.000
	Average Length	0.105	0.087	0.103	0.088	0.112	0.087	0.106	0.111

Note: The results are computed across 500 replications, each with sample sizes of 1000 based on the NSAID study. All of the numerical values are multiplied by 100.