Background
Method
Guarantee-Time bias
Statistical modeling for Guarantee-Time bias
Landmark method
Time-dependent Cox regression model
Simulation setting
Results
Simulation results
β
0
| Cumulative dose | Cox regression | Time-dependent Cox regression | Landmark analyses | |
---|---|---|---|---|---|
τ = 5 | τ = 7 | ||||
log(0.015) | Low | 214 | 58 | 56 | 57 |
Moderate | 1000 | 52 | 42 | 45 | |
High | 1000 | 43 | 55 | 47 | |
log(5∗0.015) | Low | 723 | 47 | 56 | 66 |
Moderate | 1000 | 50 | 40 | 44 | |
High | 1000 | 47 | 46 | 46 | |
log(10∗0.015) | Low | 957 | 52 | 62 | 52 |
Moderate | 1000 | 59 | 50 | 48 | |
High | 1000 | 46 | 46 | 44 |
β
0
| Cumulative dose | Cox regression | Time-dependent Cox regression | Landmark analyses | |
---|---|---|---|---|---|
τ = 5 | τ = 7 | ||||
log(0.015) | Low | 214 | 58 | 119 | 74 |
Moderate | 1000 | 109 | 348 | 181 | |
High | 1000 | 627 | 186 | 396 | |
log(5∗0.015) | Low | 723 | 47 | 289 | 103 |
Moderate | 1000 | 296 | 792 | 471 | |
High | 1000 | 977 | 452 | 827 | |
log(10∗0.015) | Low | 957 | 52 | 288 | 94 |
Moderate | 1000 | 322 | 836 | 523 | |
High | 1000 | 989 | 538 | 888 |
β
0
| Cumulative dose | Cox regression | Time-dependent Cox regression | Landmark analyses | |||||
---|---|---|---|---|---|---|---|---|---|
τ = 5 | τ = 7 | ||||||||
Bias | MSE | Bias | MSE | Bias | MSE | Bias | MSE | ||
log(0.015) | Low | 0.0732 | 0.0035 | 0.0009 | 0.0041 | 0.0673 | 0.0062 | 0.0416 | 0.0105 |
Moderate | 0.2735 | 0.0019 | 0.0005 | 0.0043 | 0.0641 | 0.0043 | 0.0469 | 0.0068 | |
High | 0.6210 | 0.0004 | 0.0419 | 0.0034 | 0.0437 | 0.0174 | 0.0429 | 0.0061 | |
log(5∗0.015) | Low | 0.0822 | 0.0009 | 0.0007 | 0.0012 | 0.0614 | 0.0020 | 0.0352 | 0.0034 |
Moderate | 0.3002 | 0.0004 | −0.0024 | 0.0012 | 0.0585 | 0.0013 | 0.0455 | 0.0023 | |
High | 0.6263 | 0.0001 | 0.0392 | 0.0011 | 0.0377 | 0.0048 | 0.0366 | 0.0019 | |
log(10∗0.015) | Low | 0.0944 | 0.0006 | 0.0011 | 0.0008 | 0.0565 | 0.0016 | 0.0300 | 0.0029 |
Moderate | 0.3349 | 0.0002 | −0.0032 | 0.0009 | 0.0524 | 0.0011 | 0.0461 | 0.0020 | |
High | 0.6331 | 0.0001 | 0.0360 | 0.0009 | 0.0360 | 0.0038 | 0.0338 | 0.0016 |
Real data example
Cumulative dose | Cox regression | Time-dependent Cox regression | Landmark analyses | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
HR | 95% CI |
p-value | HR | 95% CI |
p-value | HR | 95% CI |
p-value | ||||
Low | 0.852 | 0.420 | 1.731 | 0.659 | 1.155 | 0.568 | 2.347 | 0.691 | 1.059 | 0.332 | 3.374 | 0.923 |
Moderate | 0.710 | 0.315 | 1.602 | 0.410 | 0.983 | 0.435 | 2.220 | 0.967 | 0.775 | 0.189 | 3.167 | 0.722 |
High | 0.443 | 0.218 | 0.899 | 0.024 | 0.778 | 0.381 | 1.587 | 0.490 | 0.812 | 0.295 | 2.233 | 0.687 |