. Author manuscript; available in PMC: 2016 Jan 20.

Published in final edited form as: Comput Stat Data Anal. 2013 Nov;67:199–212. doi: 10.1016/j.csda.2013.05.011

Table 2. Sine curve model: results of parameter estimates using the true model, proposed model and Cox PH model.

	α₁				α₂				angle (β̂,β₀)

	bias	SD	SEE	CP	bias	SD	SEE	CP	mean	SD
N = 1000, censoring rate = 80%, 200 cases

true model	0.005	0.104	0.097	0.934	-0.001	0.125	0.123	0.942	2.563	1.418
plSI	0.088	0.191	0.168	0.938	-0.177	0.326	0.297	0.940	2.748	1.465
Cox PH	-0.304	0.132	0.108	0.252	0.617	0.192	0.172	0.132	4.356	2.633

N = 2000, censoring rate = 80%, 400 cases

true model	0.002	0.068	0.068	0.948	-0.006	0.088	0.086	0.952	1.755	0.915
plSI	0.039	0.116	0.110	0.940	-0.080	0.201	0.194	0.954	1.848	0.957
Cox PH	-0.322	0.076	0.074	0.024	0.644	0.124	0.118	0.006	3.043	1.658

N = 1000, censoring rate = 90%, 100 cases

true model	-0.003	0.146	0.141	0.938	-0.007	0.178	0.180	0.960	3.961	2.206
plSI	0.214	0.309	0.286	0.932	-0.446	0.553	0.518	0.944	4.114	2.376
Cox PH	-0.278	0.180	0.161	0.502	0.552	0.302	0.260	0.394	6.035	3.520

N = 2000, censoring rate = 90%, 200 cases

true model	0.002	0.103	0.097	0.930	-0.002	0.121	0.124	0.962	2.627	1.368
plSI	0.084	0.182	0.167	0.944	-0.168	0.324	0.295	0.938	2.702	1.415
Cox PH	-0.310	0.120	0.108	0.232	0.618	0.184	0.173	0.116	4.266	2.405

bias: empirical bias; SD: sample standard deviation; SEE: standard error estimate; CP: empirical coverage probability of 95% confidence interval; N: cohort size; plSI: partially linear single index model.