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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
  1. aNote: A=(5,7)×(1,3), B=(4,8)×(1,3), C=(5,7)×(0,4), D=(4,8)×(0,4), E=(9,11)×(4,6), F=(8,12)×(4,6), G=(9,11)×(3,7), H=(8,12)×(3,7)