Assessing the effect of a partly unobserved, exogenous, binary time-dependent covariate on survival probabilities using generalised pseudo-values

Pötschger, Ulrike; Heinzl, Harald; Valsecchi, Maria Grazia; Mittlböck, Martina

doi:10.1186/s12874-017-0430-5

Table 2 Results of the simulation study 2 using a weighted generalised linear model with log-log link and ad-hoc correction of SE_est (with one repetition per observation per simulation run)

From: Assessing the effect of a partly unobserved, exogenous, binary time-dependent covariate on survival probabilities using generalised pseudo-values

		Truth		Results (\( n=1000 \))^e			Results (\( n=400 \))^e
Scenario	uniform censoring	\( {S}_0(5) \) ^a	\( {\beta}_0 \)	Bias^b	SE_est^c	Coverage^d	Bias^b	SE_est^c	Coverage^d
A	0–11	0.404	−0.098	0.001	0.053	96.2%	0.002	0.085	95.4%
B	0–11	0.291	0.211	0.001	0.062	94.8%	0.000	0.098	95.7%
C	0–11	0.511	−0.398	0.000	0.067	94.2%	0.000	0.107	94.9%
D	0–11	0.703	−1.040	0.001	0.079	95.2%	0.000	0.126	95.2%
E	0–11	0.291	0.211	0.001	0.062	94.8%	0.000	0.098	95.7%
F	0–11	0.511	−0.398	0.000	0.067	94.2%	0.000	0.107	94.9%
G	0–11	0.333	0.095	−0.002	0.060	93.3%	−0.004	0.095	94.7%
G	0–6	0.333	0.095	−0.003	0.083	95.0%	−0.001	0.133	94.9%
		\( {S}_1(5) \) ^a	\( {\beta}_0+{\beta}_1 \)	Bias^b	SE_est^c	Coverage^d	Bias^b	SE_est^c	Coverage^d
A	0–11	0.562	−0.551	−0.001	0.111	95.0%	0.000	0.177	94.9%
B	0–11	0.547	−0.505	−0.002	0.087	94.7%	0.006	0.137	93.9%
C	0–11	0.659	−0.875	−0.003	0.099	96.1%	−0.010	0.157	95.3%
D	0–11	0.703	−1.040	0.001	0.101	95.0%	0.001	0.161	95.4%
E	0–11	0.390	−0.060	0.003	0.082	95.2%	0.005	0.130	95.8%
F	0–11	0.511	−0.398	−0.006	0.087	95.0%	−0.001	0.138	94.7%
G	0–11	0.569	−0.573	−0.004	0.115	93.5%	−0.002	0.182	95.1%
G	0–6	0.569	−0.573	0.000	0.149	93.5%	−0.028	0.239	94.6%
		cHR^a	\( {\beta}_1 \)	Bias^b	SE_est^c	Coverage^d	Bias^b	SE_est^c	Coverage^d
A	0–11	0.636	−0.453	−0.001	0.123	95.4%	−0.002	0.196	95.5%
B	0–11	0.489	−0.716	−0.004	0.107	93.8%	0.006	0.169	94.9%
C	0–11	0.621	−0.476	−0.003	0.119	95.4%	−0.010	0.190	95.3%
D	0–11	1.000	0.000	0.000	0.129	95.2%	0.001	0.204	95.4%
E	0–11	0.763	−0.271	0.001	0.103	94.8%	0.005	0.163	95.6%
F	0–11	1.000	0.000	−0.006	0.110	95.2%	−0.001	0.174	95.7%
G	0–11	0.513	−0.668	−0.003	0.131	95.0%	0.002	0.208	95.7%
G	0–6	0.513	−0.668	0.004	0.173	96.0%	−0.027	0.278	96.5%

^aFor the log-log link and \( {t}^{\ast }=5:{S}_0(5)=\exp \left(-\exp \left({\beta}_0\right)\right);{S}_1(5)=\exp \left(-\exp \left({\beta}_0+{\beta}_1\right)\right);\mathrm{cHR}=\exp \left({\beta}_1\right) \)
^bMean difference between parameter estimates and true parameters
^cMean standard error of the parameter estimates
^dCoverage of the 95% confidence interval of the parameters
^eentire sample with and without a donor

Back to article page

ISSN: 1471-2288

Contact us

General enquiries: journalsubmissions@springernature.com

BMC Medical Research Methodology

Contact us