Table 2. Operating characteristics.
Scenario 1: Arm B vs. A: 40% versus 20% | Arm B | |||
---|---|---|---|---|
Probability | fail in stage 1 | fail in stage 2 | pass stage 2 | |
Arm A | fail in stage 1 | 0.03 | 0.03 | 0.5 |
fail in stage 2 | 0.02 | 0.02 | 0.32 | |
pass stage 2 | 0 | 0 | 0.09 | |
Both arms passing the 2nd stage: 9%. Among them, Arm B claims 4.09% as winner. Overall power of Arm B= 86%. |
Scenario 2: Arm B vs. A: 35% versus 20% | Arm B | |||
---|---|---|---|---|
Probability | fail in stage 1 | fail in stage 2 | pass stage 2 | |
Arm A | fail in stage 1 | 0.06 | 0.07 | 0.42 |
fail in stage 2 | 0.04 | 0.05 | 0.27 | |
pass stage 2 | 0.01 | 0.01 | 0.07 | |
Both arms passing the 2nd stage: 7%. Among them, Arm B claims 2.12% as winner. Overall power of Arm B= 71%. |
Scenario 3: Arm B vs. A: 40% versus 25% | Arm B | |||
---|---|---|---|---|
Probability | fail in stage 1 | fail in stage 2 | pass stage 2 | |
Arm A | fail in stage 1 | 0.02 | 0.02 | 0.32 |
fail in stage 2 | 0.02 | 0.02 | 0.33 | |
pass stage 2 | 0.01 | 0.01 | 0.26 | |
Both arms passing the 2nd stage: 26%. Among them, Arm B claims 10.79% as winner. Overall power of Arm B= 75%. |
Scenario 4: Arm B vs. A: 20% versus 20% | Arm B | |||
---|---|---|---|---|
Probability | fail in stage 1 | fail in stage 2 | pass stage 2 | |
Arm A | fail in stage 1 | 0.3 | 0.2 | 0.05 |
fail in stage 2 | 0.19 | 0.13 | 0.03 | |
pass stage 2 | 0.05 | 0.03 | 0.01 | |
Both arms passing the 2nd stage: 1%. Among them, Arm B claims 0.01% as winner. Type I error= 8.73%. |