. Author manuscript; available in PMC: 2021 Aug 15.

Published in final edited form as: Stat Med. 2021 Apr 29;40(18):4035–4052. doi: 10.1002/sim.9012

TABLE 2.

The Bias, empirical standard error (SE) and relative efficiency (RE) of the TIPW estimator, the proposed AIPW estimator, the nonparametric method based estimator (NP) and the CLR based estimator (CLR). For the proposed AIPW estimator, we also calculated the average of the estimated standard error (ASE), empirical coverage probabilities (CP) of the 95% CIs (×100) for settings (2).

Independent censoring (I)
		Bias				SE				RE				AIPW
	true	TIPW	AIPW	NP	CLR	TIPW	AIPW	NP	CLR	TIPW	AIPW	NP	CLR	ASE	CP
${\bar{γ}}_{1}$	0.693	0.014	0.020	−0.009	0.139	0.110	0.105	0.118	0.171	1.000	1.078	0.880	0.254	0.096	91.9
${\bar{γ}}_{2}$	1.099	−0.018	0.013	−0.097	0.343	0.109	0.097	0.145	0.339	1.000	1.263	0.399	0.052	0.096	94.0
TPR	0.460	−0.015	−0.006	−0.052		0.049	0.043	0.057		1.000	1.383	0.446		0.046	95.8
PPV	0.543	−0.003	−0.001	0.054		0.034	0.030	0.041		1.000	1.309	0.261		0.033	96.8
NPV	0.932	−0.004	−0.002	−0.036		0.011	0.008	0.017		1.000	2.124	0.085		0.009	97.2
TPR	0.596	−0.016	−0.006	−0.064		0.048	0.043	0.055		1.000	1.391	0.360		0.043	95.6
PPV	0.435	−0.001	0.000	0.057		0.029	0.025	0.040		1.000	1.302	0.176		0.027	96.6
NPV	0.945	−0.004	−0.002	−0.033		0.010	0.007	0.016		1.000	2.101	0.086		0.008	97.4
TPR	0.748	−0.013	−0.004	−0.072		0.045	0.039	0.051		1.000	1.480	0.287		0.039	94.6
PPV	0.326	0.002	0.002	0.056		0.025	0.021	0.035		1.000	1.444	0.142		0.022	95.6
NPV	0.961	−0.003	−0.001	−0.031		0.009	0.007	0.015		1.000	2.091	0.085		0.008	97.8
Dependent censoring (II)
		Bias				SE				RE				AIPW
	true	TIPW	AIPW	NP	CLR	TIPW	AIPW	NP	CLR	TIPW	AIPW	NP	CLR	ASE	CP
${\bar{γ}}_{1}$	0.693	0.024	0.044	−0.001	0.088	0.121	0.115	0.131	0.172	1.000	1.008	0.892	0.408	0.106	91.7
${\bar{γ}}_{2}$	1.099	−0.009	−0.008	−0.098	0.230	0.130	0.110	0.133	0.331	1.000	1.389	0.622	0.104	0.102	93.6
TPR	0.460	−0.010	−0.002	−0.049		0.056	0.050	0.058		1.000	1.302	0.565		0.048	92.8
PPV	0.543	0.001	0.004	0.064		0.040	0.035	0.046		1.000	1.311	0.263		0.034	94.1
NPV	0.932	−0.004	−0.003	−0.038		0.011	0.008	0.017		1.000	2.181	0.085		0.009	95.6
TPR	0.596	−0.012	−0.003	−0.067		0.053	0.045	0.056		1.000	1.426	0.385		0.044	94.9
PPV	0.435	0.002	0.005	0.066		0.034	0.029	0.040		1.000	1.335	0.190		0.028	92.6
NPV	0.945	−0.004	−0.002	−0.036		0.011	0.007	0.016		1.000	2.360	0.080		0.008	97.9
TPR	0.748	−0.011	−0.000	−0.072		0.045	0.036	0.047		1.000	1.631	0.289		0.038	95.3
PPV	0.326	0.004	0.006	0.065		0.027	0.022	0.036		1.000	1.506	0.137		0.022	95.1
NPV	0.961	−0.003	−0.001	−0.033		0.010	0.006	0.014		1.000	2.594	0.079		0.007	97.7