Table 3.
Simulation results for estimated difference between AUCs of two biomarkers, comparing the proposed method with the WMR method as cited from Table 2 of Saha-chaudhuri and Heagerty (2013). dAUC(t) is the true value of difference in AUCs at time point t. SD and SE are the empirical and model-based standard error estimates. CP is the calculated coverage probability of 95% confidence intervals.
| WMR |
Proposed method |
|||||||
|---|---|---|---|---|---|---|---|---|
| Log time | dAUC(t) | Bias | SD | CP(%) | Bias | SD | SE | CP(%) |
| 20% censoring | ||||||||
| –2.0 | 0.101 | –0.002 | 0.062 | 88.8 | 0.001 | 0.060 | 0.063 | 88.7 |
| –1.5 | 0.098 | –0.002 | 0.040 | 94.5 | 0.000 | 0.036 | 0.041 | 96.6 |
| –1.0 | 0.091 | –0.001 | 0.032 | 94.6 | –0.001 | 0.028 | 0.033 | 96.4 |
| –0.5 | 0.080 | –0.002 | 0.029 | 94.8 | 0.000 | 0.025 | 0.029 | 96.2 |
| 0.0 | 0.070 | –0.001 | 0.030 | 94.9 | –0.001 | 0.027 | 0.030 | 96.0 |
| 0.5 | 0.060 | 0.000 | 0.037 | 93.2 | 0.000 | 0.037 | 0.037 | 96.9 |
| 1.0 | 0.051 | 0.002 | 0.054 | 93.3 | 0.001 | 0.069 | 0.061 | 91.1 |
| 40% censoring | ||||||||
| –2.0 | 0.101 | –0.002 | 0.062 | 88.8 | 0.000 | 0.068 | 0.063 | 89.0 |
| –1.5 | 0.098 | –0.002 | 0.041 | 94.7 | 0.000 | 0.039 | 0.042 | 95.3 |
| –1.0 | 0.091 | –0.001 | 0.033 | 95.0 | –0.001 | 0.031 | 0.034 | 96.0 |
| –0.5 | 0.080 | –0.001 | 0.031 | 94.8 | –0.001 | 0.030 | 0.032 | 96.4 |
| 0.0 | 0.070 | 0.001 | 0.035 | 94.5 | –0.002 | 0.032 | 0.036 | 96.9 |
| 0.5 | 0.060 | 0.001 | 0.048 | 94.8 | 0.003 | 0.055 | 0.053 | 94.4 |
| 1.0 | 0.051 | 0.002 | 0.100 | 93.3 | –0.008 | 0.258 | 0.266 | 85.8 |