Theoretical Biology and Medical Modelling

Table 2 The results of parametric and non-parametric estimates of CIF based on a four-parameter log-logistic simulation for different times.

From: A parametric method for cumulative incidence modeling with a new four-parameter log-logistic distribution

	Time
	0.75	1.00	1.25	1.50	2.00	3.00	5.00
True value of CIF for event 1	0.19	0.27	0.35	0.43	0.56	0.75	0.91
Distribution
Four-parameter log-logistic
CIF	0.13	0.21	0.29	0.37	0.52	0.73	0.89
Bias	-0.06	-0.06	-0.06	-0.06	-0.04	-0.02	-0.02
MSE × 10²	0.42	0.49	0.47	0.45	0.22	0.06	0.04
Nonparametric
CIF	0.14	0.22	0.30	0.38	0.52	0.72	0.89
Bias	-0.05	-0.05	-0.05	-0.05	-0.04	-0.03	-0.02
MSE × 10²	0.26	0.25	0.26	0.29	0.23	0.14	0.05
True value of CIF for event 2	0.017	0.023	0.027	0.031	0.037	0.046	0.051
Distribution
Four-parameter log-logistic
CIF	0.021	0.027	0.032	0.036	0.043	0.052	0.058
Bias	0.004	0.004	0.005	0.005	0.006	0.006	0.007
MSE × 10²	0.003	0.003	0.010	0.010	0.010	0.010	0.010
Nonparametric
CIF	0.014	0.014	0.036	0.036	0.049	0.055	0.058
Bias	-0.003	-0.009	0.009	0.005	0.012	0.009	0.007
MSE × 10²	0.002	0.010	0.010	0.010	0.020	0.010	0.010

The true model is a two-parameter Weibull distribution.

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