Table 5 Simulation results comparing the gBOINS design with the gBOIN when the equivalent toxicity score (ETS) is used as the quasi-binary toxicity endpoint. The target dose (i.e., MTD) is in boldface
From: An adaptive gBOIN design with shrinkage boundaries for phase I dose-finding trials
Selection percentage | Average number of patients treated | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d1 | d2 | d3 | d4 | d5 | d6 | d1 | d2 | d3 | d4 | d5 | d6 | |||
Scenario 1 | ||||||||||||||
ETS | 0.12 | 0.19 | 0.34 | 0.48 | 0.76 | 1.05 | ||||||||
gBOIN | 0.00 | 0.02 | 0.29 | 0.56 | 0.12 | 0.01 | 3.5 | 5.1 | 8.4 | 8.9 | 3.7 | 0.4 | ||
gBOINS | 0.00 | 0.03 | 0.32 | 0.53 | 0.12 | 0.00 | 4.7 | 6.8 | 10.2 | 7.1 | 1.3 | 0.0 | ||
Scenario 2 | ||||||||||||||
ETS | 0.08 | 0.14 | 0.28 | 0.42 | 0.70 | 0.98 | ||||||||
gBOIN | 0.00 | 0.00 | 0.16 | 0.66 | 0.18 | 0.00 | 3.5 | 4.4 | 7.5 | 9.9 | 4.3 | 0.4 | ||
gBOINS | 0.00 | 0.01 | 0.14 | 0.63 | 0.22 | 0.00 | 3.8 | 5.0 | 8.7 | 9.5 | 3.0 | 0.1 | ||
Scenario 3 | ||||||||||||||
ETS | 0.16 | 0.40 | 0.50 | 0.66 | 0.83 | 0.12 | ||||||||
gBOIN | 0.02 | 0.47 | 0.36 | 0.13 | 0.00 | 0.00 | 6.3 | 12.1 | 7.7 | 3.2 | 0.5 | 0.0 | ||
gBOINS | 0.06 | 0.48 | 0.36 | 0.09 | 0.01 | 0.00 | 6.8 | 14.5 | 7.0 | 1.6 | 0.1 | 0.0 | ||
Scenario 4 | ||||||||||||||
ETS | 0.11 | 0.34 | 0.45 | 0.60 | 0.78 | 1.06 | ||||||||
gBOIN | 0.01 | 0.28 | 0.47 | 0.23 | 0.01 | 0.00 | 4.8 | 9.0 | 10.8 | 4.4 | 0.9 | 0.1 | ||
gBOINS | 0.01 | 0.27 | 0.50 | 0.21 | 0.01 | 0.00 | 5.0 | 11.8 | 10.0 | 3.0 | 0.2 | 0.0 | ||
Scenario 5 | ||||||||||||||
ETS | 0.00 | 0.06 | 0.09 | 0.10 | 0.16 | 0.32 | ||||||||
gBOIN | 0.00 | 0.00 | 0.00 | 0.00 | 0.04 | 0.96 | 3.0 | 3.1 | 3.3 | 3.4 | 4.6 | 12.6 | ||
gBOINS | 0.00 | 0.00 | 0.00 | 0.00 | 0.06 | 0.94 | 3.0 | 3.8 | 4.2 | 4.3 | 5.2 | 9.4 | ||
Scenario 6 | ||||||||||||||
ETS | 0.44 | 0.63 | 0.80 | 1.01 | 1.16 | 1.29 | ||||||||
gBOIN | 0.69 | 0.29 | 0.01 | 0.00 | 0.00 | 0.00 | 19.4 | 8.0 | 1.7 | 0.2 | 0.0 | 0.0 | ||
gBOINS | 0.77 | 0.21 | 0.02 | 0.00 | 0.00 | 0.00 | 22.9 | 6.5 | 0.7 | 0.0 | 0.0 | 0.0 | ||
Scenario 7 | ||||||||||||||
ETS | 0.19 | 0.45 | 0.57 | 0.73 | 0.9 | 1.17 | ||||||||
gBOIN | 0.11 | 0.55 | 0.28 | 0.06 | 0.00 | 0.00 | 8.9 | 13.0 | 6.2 | 1.7 | 0.2 | 0.0 | ||
gBOINS | 0.15 | 0.51 | 0.30 | 0.04 | 0.00 | 0.00 | 8.8 | 14.6 | 5.6 | 0.9 | 0.0 | 0.0 | ||
Scenario 8 | ||||||||||||||
ETS | 0.08 | 0.24 | 0.32 | 0.43 | 0.55 | 0.75 | ||||||||
gBOIN | 0.00 | 0.06 | 0.22 | 0.41 | 0.28 | 0.04 | 2.7 | 5.6 | 7.2 | 8.5 | 4.4 | 1.6 | ||
gBOINS | 0.00 | 0.05 | 0.28 | 0.42 | 0.23 | 0.03 | 3.9 | 7.8 | 9.3 | 6.7 | 2.1 | 0.2 | ||
Scenario 9 | ||||||||||||||
ETS | 0.19 | 0.45 | 0.57 | 0.73 | 0.9 | 1.17 | ||||||||
gBOIN | 0.00 | 0.91 | 0.09 | 0.00 | 0.00 | 0.00 | 3.2 | 22.7 | 4.1 | 0.0 | 0.0 | 0.0 | ||
gBOINS | 0.00 | 0.96 | 0.04 | 0.00 | 0.00 | 0.00 | 5.6 | 23.7 | 0.7 | 0.0 | 0.0 | 0.0 | ||
Scenario 10 | ||||||||||||||
ETS | 0.08 | 0.24 | 0.32 | 0.43 | 0.55 | 0.75 | ||||||||
gBOIN | 0.00 | 0.00 | 0.03 | 0.71 | 0.23 | 0.03 | 3.0 | 3.5 | 5.0 | 13.3 | 3.8 | 1.3 | ||
gBOINS | 0.00 | 0.00 | 0.19 | 0.76 | 0.05 | 0.01 | 4.3 | 7.0 | 10.4 | 8.1 | 0.2 | 0.0 | ||