From: Implementing the EffTox dose-finding design in the Matchpoint trial
Scenario | Â | Dose 1 | Dose 2 | Dose 3 | Dose 4 | Sum |
---|---|---|---|---|---|---|
1: | Pr(Eff) | 0.20 | 0.30 | 0.50 | 0.60 | Â |
monotonic, | Pr(Tox) | 0.03 | 0.05 | 0.10 | 0.30 | Â |
dose 4 | Utility | -0.33 | -0.17 | 0.16 | 0.22 | Â |
optimal | ESS=0.5 | 0.7 | 0.6 | 12.1 | 16.4 | 29.8 |
 | ESS=1.3 | 0.2 | 0.2 | 9.8 | 19.6 | 29.8 |
 | ESS=1.5 | 0.1 | 0.1 | 9.5 | 20.1 | 29.8 |
2: | Pr(Eff) | 0.40 | 0.60 | 0.75 | 0.79 | Â |
monotonic, | Pr(Tox) | 0.10 | 0.25 | 0.55 | 0.60 | Â |
dose 2 | Utility | -0.01 | 0.25 | 0.12 | 0.08 | Â |
optimal | ESS=0.5 | 1.5 | 11.5 | 16.0 | 0.4 | 29.4 |
 | ESS=1.3 | 0.8 | 11.6 | 16.9 | 0.6 | 29.9 |
 | ESS=1.5 | 0.7 | 10.3 | 18.2 | 0.7 | 29.9 |
3: | Pr(Eff) | 0.25 | 0.40 | 0.60 | 0.60 | Â |
eff. plateau, | Pr(Tox) | 0.10 | 0.20 | 0.38 | 0.42 | Â |
dose 3 | Utility | -0.26 | -0.04 | 0.15 | 0.11 | Â |
optimal | ESS=0.5 | 1.1 | 2.8 | 21.8 | 3.7 | 29.4 |
 | ESS=1.3 | 0.5 | 2.5 | 22.2 | 4.4 | 29.6 |
 | ESS=1.5 | 0.4 | 2.0 | 22.1 | 5.2 | 29.7 |
4: | Pr(Eff) | 0.50 | 0.60 | 0.70 | 0.80 | Â |
tox. plateau, | Pr(Tox) | 0.20 | 0.20 | 0.20 | 0.20 | Â |
dose 4 | Utility | 0.12 | 0.28 | 0.43 | 0.57 | Â |
optimal | ESS=0.5 | 0.5 | 1.0 | 19.3 | 9.2 | 30.0 |
 | ESS=1.3 | 0.1 | 0.7 | 15.9 | 13.3 | 30.0 |
 | ESS=1.5 | 0.1 | 0.3 | 15.9 | 13.7 | 30.0 |
5: | Pr(Eff) | 0.05 | 0.08 | 0.20 | 0.25 | Â |
all doses | Pr(Tox) | 0.05 | 0.08 | 0.12 | 0.14 | Â |
inactive | Utility | -0.58 | -0.54 | -0.34 | -0.26 | Â |
 | ESS=0.5 | 2.4 | 2.4 | 4.7 | 14.1 | 23.6 |
 | ESS=1.3 | 1.5 | 1.9 | 4.7 | 15.3 | 23.4 |
 | ESS=1.5 | 1.4 | 1.7 | 4.5 | 16.0 | 23.6 |
6 | Pr(Eff) | 0.05 | 0.08 | 0.12 | 0.25 | Â |
all doses | Pr(Tox) | 0.60 | 0.65 | 0.70 | 0.80 | Â |
too toxic | Utility | -0.78 | -0.78 | -0.76 | -0.67 | Â |
and inactive | ESS=0.5 | 2.6 | 3.0 | 4.0 | 0.9 | 10.5 |
 | ESS=1.3 | 1.1 | 2.8 | 5.2 | 0.8 | 9.9 |
 | ESS=1.5 | 1.0 | 2.8 | 5.3 | 0.9 | 10.0 |