. Author manuscript; available in PMC: 2014 Jan 1.

Published in final edited form as: J Stat Theory Pract. 2013 Apr 5;7(2):381–400. doi: 10.1080/15598608.2013.772830

Table 1.

Simulation study: True parameter value of log (HR)=0.81, under random censoring

#	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	−33	1	−12	−9	−7	2	−10
					10/10	10/10	34/34	24/25	16/16	15/15	19/19	15/16
					1	12	12	7	3	3	4	3
					96	12	97	93	91	90	96	94

2	40%	2000	5%	0.9/0.7	1	−30	5	−2	−4	−4	0	−6
					20/20	20/21	69/70	56/57	31/31	29/28	33/34	31/32
					4	13	48	31	10	9	11	46
					96	69	97	97	94	94	96	94

3	40%	2000	20%	0.9/0.9	0	−17	1	−10	−7	−6	1	−1
					10/10	10/10	36/33	20/20	12/12	12/11	13/15	18/17
					1	4	13	5	2	2	2	2
					96	59	93	92	91	90	97	96

4	40%	2000	5%	0.9/0.9	1	−15	5	−1	−4	3	1	1
					21/20	21/20	70/70	46/51	25/23	25/22	25/26	24/25
					4	7	49	21	6	6	6	6
					94	85	97	97	94	92	96	98

5	40%	2000	20%	0.7/0.9 (over-reporting)	0	−31	1	−16	−19	−17	2	−5
					10/10	10/10	34/33	22/23	13/13	13/12	18/20	18/15
					1	11	12	7	5	5	3	3
					95	14	94	88	66	68	98	93

6	40%	2000	5%	0.7/0.9	1	−30	3	−1	−19	−17	1	−1
					19/20	20/20	70/70	54/57	24/24	23/23	34/35	31/30
					4	13	49	29	9	8	12	10
					96	68	98	96	88	88	97	93

7	20%	2000	20%	0.7/0.9	0	−34	0	−16	−7	−6	2	−8
					11/11	11/11	38/37	27/27	19/19	18/17	22/25	19/17
					1	22	14	10	4	4	5	4
					95	10	95	91	91	91	98	94

8	20%	2000	5%	0.7/0.9	1	−32	2	−4	−2	−1	−2	13
					21/21	21/22	72/75	59/62	36/36	33/32	39/38	33/34
					4	15	52	35	13	11	15	13
					95	70	96	97	96	95	97	95

9	40%	1000	20%	0.7/0.9	1	−30	1	−13	−19	−17	0	−7
					15/14	15/14	48/49	33/35	19/19	19/17	25/25	22/21
					2	11	23	13	7	7	6	5
					93	45	97	94	80	80	96	95

10	40%	1000	5%	0.7/0.9	0	−31	−7	−8	−20	−19	4	−1
					32/30	31/29	78/100	72/87	38/36	36/34	54/54	46/45
					10	19	61	52	18	17	29	22
					94	81	94	97	91	90	97	93

11	16%	5000	7%	0.55/0.85	0	−52	−4	−12	−10	−6	0	−21
					13/13	13/13	45/43	41/38	33/33	27/26	36/37	24/25
					2	29	20	18	12	8	13	11
					95	1	96	95	93	94	98	92

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 wereconducted. 10% of total sample size (n) was selected for validation sample. HR denoteshazards ratio.