Table 3.

Simulation study: True parameter value of log (HR)=0.81, when censoring depends oncovariate

a. when censoring depends on true covariate X
#	P(X=1)	Total n	Event rate	Sensitivity/Specificity	Using accurate X	Using observed W	Validation data only	Multiple imputation	Regression calibration	Pooled estimation	Corrected score	MC-SIMEX
1	40%	2000	20%	0.9/0.7 (under-reporting)	0	−53	1	−7	−40	−34	1	−10
					14/13	11/11	45/44	37/38	17/16	17/15	36/51	17/18
					2	29	20	14	19	14	13	4
					96	0	96	96	32	39	95	92
2	40%	2000	5%	0.9/0.7	1	−59	18	4	−47	−41	−5	−4
					30/29	21/21	89/95	70/82	32/31	31/30	63/81	39/37
					9	39	82	49	32	26	40	15
					95	20	83	97	66	70	98	95
9	40%	1000	20%	0.7/0.9	1	−43	−1	−9	−33	−31	1	−5
					19/19	18/17	66/67	53/55	23/22	23/21	44/44	22/23
					4	22	44	29	16	15	19	5
					94	42	96	96	65	68	94	92
10	40%	1000	5%	0.7/0.9	−3	−47	45	36	−39	−33	−8	0
					43/42	39/38	83/118	86/108	48/47	46/45	79/90	56/54
					19	37	89	87	38	32	63	31
					96	78	60	94	90	86	98	97
11	16%	5000	7%	0.55/0.85	−1	−71	−1	−5	−56	−42	−9	−24
					20/20	14/13	62/68	60/65	33/33	32/29	54/112	23/23
					4	52	38	36	42	28	30	11
					95	0	91	96	60	70	93	80
b. when censoring depends on true covariateW
1	40%	2000	20%	0.9/0.7 (under-reporting)	0	−31	2	−3	−7	−6	52	−9
					12/12	13/13	42/41	33/34	21/20	19/18	51/61	21/20
					1	11	18	11	5	4	53	5
					94	37	95	96	92	91	95	91
2	40%	2000	5%	0.9/0.7	3	−28	20	6	−6	−2	42	0
					25/24	27/28	86/85	75/72	44/43	40/38	83/57	43/41
					6	15	78	57	20	16	87	18
					96	81	90	93	95	95	44	96
9	40%	1000	20%	0.7/0.9	1	−29	−1	−8	−18	−15	12	−8
					15/15	21/20	53/51	45/44	25/25	24/22	33/37	25/23
					2	13	28	21	9	8	12	7
					95	68	97	94	88	88	97	91
10	40%	1000	5%	0.7/0.9	−1	−38	10	9	−28	−20	10	−5
					30/30	46/45	81/100	87/94	56/56	49/49	64/70	48/48
					9	36	67	77	39	28	42	23
					94	92	84	96	96	95	97	97
11	16%	5000	7%	0.55/0.85	−0	−53	−3	−6	−11	−4	−19	−22
					12/13	21/21	43/42	42/41	52/52	34/32	79/100	28/26
					1	33	19	18	28	12	66	13
					95	26	96	95	96	94	81	87

Simulation scenarios and numbers (#) are identical in Tables 1 and 3 except for how censoring time was generated. Here, censoring time wasgenerated as a function of covariate: C_new=I(W=1)*C*0.5+I(W=0)*C*1.5 in Table 3a andC_new=I(X=1)*C*0.5+I(X=0)*C*1.5 in Table 3b.

Entry in each cell represents mean of bias (1^st row), sample standard error/mean ofstandard error estimates (2^nd row), mean squared error (3^rd row), and coverageprobability (last row) for log(HR).

All numbers were multiplied by 100.

1000 simulations were conducted.

10% of total sample size (n) was selected for validation sample.

HR denotes hazards ratio.