Table 2.

Simulation results under Scenario 2

	Proportional rate model						Proportional rate ratio model
n	γ	Bias	ESD	JSE	Biasj	CP	(β,α)	Bias	ESD	JSE	Biasj	CP
Low event scenario: # of first type of events=1.48, # of second type of events=1.49
200	γ11 = .2	.000	.214	.212	.003	95.4	β1 = .511	−.073	.424	.393	.013	94.9
	γ12 = 0	−.017	.365	.370	−.018	95.0	β2 = .182	.005	.225	.220	−.009	94.0
	γ21 = .4	.001	.208	.208	.003	95.0	α1 = .336	−.049	.340	.323	−.030	92.9
	γ22 = 0	−.008	.371	.368	−.008	94.9	α2 = .0	−.032	.648	.585	−.039	95.5
400	γ11 = .2	.000	.147	.149	.001	94.7	β1 = .511	−.067	.313	.316	−.004	94.8
	γ12 = 0	.009	.266	.262	.009	94.4	β2 = .182	.012	.170	.170	.003	93.7
	γ21 = .4	.000	.148	.146	.002	95.3	α1 = .336	−.019	.259	.253	−.015	92.1
	γ22 = 0	.013	.269	.262	.013	94.5	α2 = .0	.007	.505	.479	.012	94.6
High event scenario: # of first type of events=1.97, # of second type of events=2.08
200	γ11 = .2	−.003	.203	.202	.001	95.4	β1 = .511	−.070	.405	.374	.016	94.7
	γ12 = 0	−.018	.348	.354	−.018	94.4	β2 = .182	.006	.206	.203	−.007	94.4
	γ21 = .4	.002	.195	.197	.005	95.4	α1 = .336	−.048	.324	.306	−.032	92.5
	γ22 = 0	−.004	.353	.351	−.004	94.8	α2 = .0	−.030	.623	.561	−.037	95.3
400	γ11 = .2	−.001	.144	.143	.001	93.9	β1 = .511	−.062	.301	.295	−.011	94.9
	γ12 = 0	.008	.254	.252	.007	93.8	β2 = .182	.010	.161	.155	.002	93.8
	γ21 = .4	.001	.141	.139	.002	94.8	α1 = .336	−.017	.250	.239	−.004	92.7
	γ22 = 0	.012	.255	.250	.012	94.5	α2 = .0	.003	.490	.457	.009	94.1

Bias, empirical bias; ESD, empirical standard deviation; JSE, standard error estimator by the jackknife method; Bias_j, empirical bias of bias corrected Jackknife estimator; CP, coverage probability of the 95% confidence intervals.