Table 6 Average numbers of patients treated at each of eight doses for NCRM under scenario 1 and 3 when α and (μ,σ) are unknown
From: A nonparametric Bayesian continual reassessment method in single-agent dose-finding studies
Prior | Dose Level | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
Case | (μ,σ)a | α | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
1 | A | Γ(2,5) | 3.474 | 3.915 | 6.273 | 15.879 | 21.567 | 7.983 | 0.879 | 0.030 |
Γ(2,2) | 3.342 | 3.606 | 4.263 | 15.705 | 26.751 | 6.030 | 0.303 | 0.000 | ||
Γ(5,2) | 3.390 | 3.672 | 3.705 | 12.576 | 30.048 | 6.426 | 0.177 | 0.006 | ||
Γ(10,2) | 3.450 | 3.603 | 3.675 | 10.635 | 31.983 | 6.582 | 0.066 | 0.006 | ||
B | Γ(2,5) | 3.537 | 3.957 | 6.381 | 17.718 | 21.378 | 6.450 | 0.555 | 0.024 | |
Γ(2,2) | 3.342 | 3.618 | 3.810 | 15.129 | 28.473 | 5.367 | 0.165 | 0.006 | ||
Γ(5,2) | 3.393 | 3.510 | 3.702 | 14.523 | 29.253 | 5.460 | 0.159 | 0.000 | ||
Γ(10,2) | 3.363 | 3.594 | 3.717 | 13.014 | 31.074 | 5.157 | 0.075 | 0.006 | ||
C | Γ(2,5) | 3.417 | 3.570 | 4.155 | 14.847 | 26.706 | 7.101 | 0.204 | 0.00 | |
Γ(2,2) | 3.411 | 3.573 | 3.948 | 14.589 | 28.089 | 6.339 | 0.051 | 0.000 | ||
Γ(5,2) | 3.372 | 3.570 | 3.783 | 12.495 | 29.781 | 6.819 | 0.180 | 0.000 | ||
Γ(10,2) | 3.402 | 3.567 | 3.663 | 10.887 | 31.743 | 6.621 | 0.105 | 0.012 | ||
D | Γ(2,5) | 3.435 | 3.525 | 4.404 | 18.249 | 25.404 | 4.761 | 0.210 | 0.012 | |
Γ(2,2) | 3.444 | 3.558 | 3.927 | 16.455 | 28.017 | 4.455 | 0.144 | 0.000 | ||
Γ(5,2) | 3.429 | 3.501 | 3.798 | 16.017 | 28.530 | 4.566 | 0.153 | 0.006 | ||
Γ(10,2) | 3.408 | 3.612 | 3.684 | 15.390 | 29.757 | 4.053 | 0.090 | 0.006 | ||
3 | E | Γ(2,5) | 3.075 | 3.399 | 3.687 | 4.335 | 6.141 | 9.936 | 15.465 | 13.962 |
Γ(2,2) | 3.108 | 3.486 | 3.714 | 4.305 | 5.871 | 9.753 | 16.014 | 13.749 | ||
Γ(5,2) | 3.078 | 3.363 | 3.810 | 3.870 | 4.554 | 8.478 | 18.222 | 14.625 | ||
Γ(10,2) | 3.090 | 3.396 | 3.633 | 3.684 | 3.576 | 4.617 | 21.420 | 16.584 | ||
F | Γ(2,5) | 3.090 | 3.471 | 3.741 | 4.326 | 6.333 | 10.383 | 15.444 | 13.212 | |
Γ(2,2) | 3.111 | 3.375 | 3.735 | 4.113 | 5.418 | 9.525 | 17.049 | 13.674 | ||
Γ(5,2) | 3.081 | 3.450 | 3.633 | 3.645 | 3.801 | 6.630 | 19.911 | 15.849 | ||
Γ(10,2) | 3.105 | 3.387 | 3.657 | 3.708 | 3.588 | 5.532 | 21.4189 | 15.834 | ||
G | Γ(2,5) | 3.096 | 3.477 | 3.789 | 4.275 | 6.015 | 9.840 | 15.312 | 14.196 | |
Γ(2,2) | 3.096 | 3.450 | 3.651 | 4.245 | 5.706 | 9.441 | 16.191 | 14.220 | ||
Γ(5,2) | 3.372 | 3.375 | 3.792 | 3.735 | 4.005 | 6.873 | 19.104 | 16.056 | ||
Γ(10,2) | 3.066 | 3.474 | 3.681 | 3.597 | 3.570 | 4.347 | 20.088 | 18.177 | ||
H | Γ(2,5) | 3.060 | 3.411 | 3.753 | 4.272 | 5.952 | 9.834 | 15.462 | 14.256 | |
Γ(2,2) | 3.081 | 3.426 | 3.672 | 3.849 | 4.434 | 7.320 | 18.411 | 15.807 | ||
Γ(5,2) | 3.051 | 3.477 | 3.648 | 3.672 | 3.747 | 6.306 | 19.278 | 16.821 | ||
Γ(10,2) | 3.075 | 3.396 | 3.666 | 3.648 | 3.633 | 4.785 | 20.613 | 17.184 | ||