BMC Medical Research Methodology

Table 4 Simulation results for the estimation of attributable risk A(.) under nonproportional hazards with regression parameter β= ln(2) and probability of exposure q=0.5

From: Comparison of methods for estimating the attributable risk in the context of survival analysis

Estimation method			n=1, 000				n=10, 000
	Time	A(t)	Bias	SEE	SSD	CP	Bias	SEE	SSD	CP
KM	τ/4	0.181	0.001124	0.045053	0.045787	0.954	0.000289	0.014277	0.014126	0.949
	τ/2	0.133	0.001330	0.037581	0.037647	0.953	−0.000029	0.011915	0.012154	0.935
	3 τ/4	0.109	0.001211	0.036543	0.036593	0.953	−0.000301	0.011618	0.011608	0.952
	τ	0.093	0.002743	0.043713	0.051764	0.933	−0.000888	0.016362	0.019957	0.950
WKM	τ/4	0.181	0.001138	0.045090	0.045739	0.954	0.000291	0.014274	0.014130	0.949
	τ/2	0.133	0.001347	0.037587	0.037593	0.956	−0.000024	0.011911	0.012151	0.938
	3 τ/4	0.109	0.001165	0.036511	0.036518	0.952	−0.000293	0.011612	0.011607	0.956
	τ	0.093	0.001685	0.042617	0.049261	0.920	−0.000708	0.016157	0.019107	0.946
COX	τ/4	0.181	−0.018761	0.037521	0.037543	0.933	−0.019843	0.011869	0.011939	0.621
	τ/2	0.133	0.010548	0.033500	0.033580	0.941	0.009504	0.010588	0.010676	0.847
	3 τ/4	0.109	0.023376	0.030960	0.031017	0.879	0.022314	0.009775	0.009879	0.368
	τ	0.093	0.030360	0.029427	0.029588	0.830	0.029168	0.009323	0.009456	0.127
PCH	τ/4	0.181	0.026479	0.048525	0.049191	0.908	−0.017516	0.011688	0.012080	0.672
	τ/2	0.133	0.057418	0.044915	0.045594	0.738	0.011082	0.010391	0.010768	0.806
	3 τ/4	0.109	0.070045	0.042342	0.043042	0.607	0.023478	0.009571	0.009936	0.313
	τ	0.093	0.075924	0.040403	0.041050	0.525	0.029848	0.009011	0.009360	0.098

KM nonparametric approach based on Kaplan-Meier estimation for S(t), WKM nonparametric approach based on weighted Kaplan-Meier estimation for S(t), COX semiparametric approach, PCH parametric approach using a piecewise constant hazards model, Bias sampling mean of the difference between \(\hat {A}(t)\) and A(t), SEE sampling mean of standard error estimate of A(t), SSD sampling standard deviation of \(\hat {A}(t)\), CP coverage probability of the 95% Wald confidence interval

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ISSN: 1471-2288

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