Failure time regression with continuous informative auxiliary covariates

Ghosh, Lipika; Jiang, Jiancheng; Sun, Yanqing; Zhou, Haibo

doi:10.1186/s40488-015-0026-8

Journal of Statistical Distributions and Applications

Table 2 Comparison of simulation results with σ=0.8 and validation fraction 0.5

From: Failure time regression with continuous informative auxiliary covariates

n		γ =0			γ =2
		\({\hat {\beta }_{N}}\)	\({\hat {\beta }_{ZW}}\)	\({\hat {\beta }_{EPL}}\)	\(\hat {\beta }_{ZW}\)	\({\hat {\beta }_{ZW}}\)	\({\hat {\beta }_{EPL}}\)
50%
censoring
100	mean−β ₀	-0.369	-0.045	0.034	-0.961	-0.325	0.027
		0.139	0.055	0.008	0.177	0.141	0.009
	median−β ₀	-0.381	-0.052	0.021	-0.955	-0.368	0.010
		0.028	0.051	0.008	0.164	0.140	0.002
	se	0.206	0.374	0.457	0.076	0.549	0.450
		0.260	0.287	0.338	0.243	0.325	0.332
	\(mean(\hat {se})\)	0.196	0.256	0.414	0.064	0.374	0.414
		0.249	0.262	0.288	0.244	0.271	.293
	cp	0.504	0.940	0.934	0.0	0.721	0.940
		0.914	0.932	0.916	0.904	0.888	0.920
300	mean−β ₀	-0.392	-0.056	0.012	-0.965	-0.399	0.012
		0.139	0.033	-0.011	0.175	0.147	-0.009
	median−β ₀	-0.392	-0.055	0.004	-0.963	-0.395	0.004
		0.139	0.044	-0.004	0.176	0.145	-0.002
	se	0.114	0.198	0.255	0.044	0.325	0.254
		0.142	0.156	0.170	0.129	0.180	0.171
	\(mean(\hat {se})\)	0.108	0.223	0.227	0.036	0.213	0.228
		0.140	0.157	0.159	0.137	0.157	0.158
	cp	0.068	0.932	0.932	0.0	0.520	0.932
		0.830	0.946	0.934	0.770	0.808	0.936
20%
censoring
100	mean−β ₀	-0.368	-0.046	0.024	-0.969	-0.328	0.022
		0.126	0.052	0.019	0.163	0.128	0.021
	median−β ₀	-0.372	-0.052	0.020	-0.966	-0.354	0.016
		0.122	0.053	0.020	0.168	0.124	0.015
	se	0.165	0.272	0.360	0.064	0.450	0.348
		0.202	0.213	0.240	0.186	0.238	0.238
	\(mean(\hat {se})\)	0.156	0.263	0.306	0.057	0.291	0.321
		0.198	0.207	0.211	0.195	0.212	0.222
	cp	0.352	0.966	0.912	0.0	0.658	0.916
		0.918	0.942	0.928	0.910	0.878	0.924
300	mean−β ₀	-0.390	-0.048	0.013	-0.972	-0.388	0.021
		0.123	0.026	-0.011	0.161	0.127	-0.015
	median−β ₀	-0.393	-0.058	-0.004	-0.972	-0.399	0.013
		0.123	0.028	-0.017	0.164	0.128	-0.016
	se	0.092	0.159	0.195	0.039	0.262	0.200
		0.115	0.123	0.131	0.102	0.138	0.133
	\(mean(\hat {se})\)	0.086	0.172	0.186	0.033	0.168	0.179
		0.112	0.123	0.126	0.110	0.122	0.124
	cp	0.018	0.954	0.924	0.0	0.412	0.924
		0.792	0.944	0.934	0.716	0.784	0.942

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