TABLE 4.

The mean percent (%) biases, average standard errors (ASE), empirical standard errors (ESE), and coverage probabilities (CP) are given for 1000 simulated datasets for the proposed method and naive method, when both allow for strata-specific baseline hazards

Sea = 0.80, Spb = 0.90			Proposed				Naive
${\widehat{\mathit{\delta }}}_{\mathbf{(}\mathbf{1}\mathbf{)}}$ c	CR d	β	% Bias	ASE	ESE	CP	% Bias	ASE	ESE	CP
0.60	0.90	β X1	1.893	0.202	0.199	0.961	−88.44	0.047	0.046	0.000
		β Z1	3.249	0.145	0.148	0.954	−78.36	0.057	0.058	0.001
		β Z2	−0.263	0.144	0.151	0.946	−81.41	0.057	0.058	0.044
	0.55	β X1	−0.489	0.094	0.089	0.965	−68.31	0.038	0.038	0.000
		β Z1	0.001	0.068	0.066	0.960	−42.99	0.047	0.047	0.095
		β Z2	−0.885	0.067	0.066	0.958	−52.09	0.047	0.048	0.172
0.30	0.90	β X1	1.036	0.286	0.280	0.959	−94.20	0.033	0.033	0.000
		β Z1	2.777	0.153	0.154	0.956	−81.55	0.055	0.056	0.000
		β Z2	−0.353	0.152	0.159	0.944	−77.15	0.055	0.056	0.046
	0.55	β X1	−1.095	0.133	0.126	0.962	−84.08	0.027	0.027	0.000
		β Z1	−0.866	0.071	0.070	0.964	−51.93	0.045	0.044	0.015
		β Z2	−1.897	0.071	0.069	0.960	−40.78	0.045	0.047	0.337
Se = 0.90, Sp = 0.80			Proposed				Naive
${\widehat{\mathit{\delta }}}_{\mathbf{(}\mathbf{1}\mathbf{)}}$	CR	β	% Bias	ASE	ESE	CP	% Bias	ASE	ESE	CP
0.60	0.90	β X1	0.986	0.214	0.217	0.949	−93.42	0.037	0.038	0.000
		β Z1	3.516	0.153	0.159	0.948	−87.94	0.046	0.048	0.000
		β Z2	0.025	0.151	0.162	0.945	−89.97	0.046	0.047	0.002
	0.55	β X1	−0.488	0.096	0.092	0.958	−78.24	0.034	0.034	0.000
		β Z1	−0.100	0.069	0.068	0.961	−60.97	0.042	0.043	0.000
		β Z2	−0.953	0.068	0.067	0.957	−67.67	0.042	0.042	0.020
0.30	0.90	β X1	−0.310	0.301	0.303	0.951	−96.68	0.027	0.027	0.000
		β Z1	2.982	0.161	0.167	0.952	−89.72	0.044	0.046	0.000
		β Z2	0.278	0.160	0.170	0.941	−87.53	0.044	0.045	0.002
	0.55	β X1	−1.167	0.135	0.130	0.955	−89.05	0.024	0.024	0.000
		β Z1	−0.943	0.073	0.072	0.962	−67.08	0.040	0.041	0.000
		β Z2	−1.921	0.072	0.071	0.958	−59.89	0.040	0.041	0.039
Se = 1, Sp = 1			Truth
	CR	β	% Bias	ASE	ESE	CP
	0.90	β X1	1.652	0.108	0.106	0.955
		β Z1	2.270	0.108	0.110	0.949
		β Z2	0.080	0.108	0.112	0.949
	0.55	β X1	1.252	0.053	0.052	0.961
		β Z1	1.153	0.053	0.052	0.961
		β Z2	0.223	0.052	0.053	0.937

Note: We assume four equally sized strata. Let β_X1 = log(1.5), β_Z1 = log(0.7), and β_Z2 = log(1.3); e is normally distributed with mean zero.

^aSe = Sensitivity.

^bSp = Specificity.

^c${\widehat{\delta }}_{(1)}$ = Estimate of attenuation coefficient.

^dCR = True censoring rate.