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Table 2 Results of the simulation study 2 using a weighted generalised linear model with log-log link and ad-hoc correction of SEest (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 \( {\beta}_0 \) Biasb SEestc Coveraged Biasb SEestc Coveraged
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 \( {\beta}_0+{\beta}_1 \) Biasb SEestc Coveraged Biasb SEestc Coveraged
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%
   cHRa \( {\beta}_1 \) Biasb SEestc Coveraged Biasb SEestc Coveraged
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%
  1. aFor the log-log link and \( {t}^{\ast }=5:{S}_0(5)=\exp \left(-\exp \left({\beta}_0\right)\right);{S}_1(5)=\exp \left(-\exp \left({\beta}_0+{\beta}_1\right)\right);\mathrm{cHR}=\exp \left({\beta}_1\right) \)
  2. bMean difference between parameter estimates and true parameters
  3. cMean standard error of the parameter estimates
  4. dCoverage of the 95% confidence interval of the parameters
  5. eentire sample with and without a donor