Sample | Admissible condition | “Optimal” futility | Actual | Probability of wrongly | Probability of correctly | ||
---|---|---|---|---|---|---|---|
size | parameters | boundary | power | stopping for futility | stopping for futility | ||
n | Powloss | πwrong | α0,opt | under Δ=0.5 | \(P_{\Delta _{\text {true}}=0.5}\left (p_{1}>\alpha _{0}\right)\) | \(P_{\Delta _{\text {true}}=0.25}\left (p_{1}>\alpha _{0}\right)\) | \(P_{\Delta _{\text {true}}=0.0}\left (p_{1}>\alpha _{0}\right)\) |
188 | 0.01 | 0.01 | 0.46 | 0.90 | 0.01 | 0.13 | 0.54 |
0.05 | 0.01 | 0.46 | 0.90 | 0.01 | 0.13 | 0.54 | |
0.01 | 0.05 | 0.29 | 0.89 | 0.03 | 0.26 | 0.71 | |
0.05 | 0.05 | 0.22 | 0.89 | 0.05 | 0.33 | 0.78 | |
0.01 | 0.10 | 0.29 | 0.89 | 0.03 | 0.26 | 0.71 | |
0.05 | 0.10 | 0.13 | 0.85 | 0.10 | 0.47 | 0.87 | |
0.0013 | 0.008 | 0.50 | 0.90 | 0.01 | 0.11 | 0.50 | |
140 | 0.01 | 0.01 | 0.59 | 0.80 | 0.01 | 0.10 | 0.41 |
0.05 | 0.01 | 0.59 | 0.80 | 0.01 | 0.10 | 0.41 | |
0.01 | 0.05 | 0.33 | 0.79 | 0.05 | 0.27 | 0.67 | |
0.05 | 0.05 | 0.33 | 0.79 | 0.05 | 0.27 | 0.67 | |
0.01 | 0.10 | 0.32 | 0.79 | 0.05 | 0.28 | 0.68 | |
0.05 | 0.10 | 0.21 | 0.77 | 0.10 | 0.41 | 0.79 | |
0.0013 | 0.018 | 0.50 | 0.80 | 0.02 | 0.15 | 0.50 |