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# Table 1 Overview of program set-ups \( S\left({\hat{\theta}}_2^{s_1},{\hat{\theta}}_2^{s_2}\right) \)

Program set-up \( S\left({\hat{\theta}}_2^{s_1},{\hat{\theta}}_2^{s_2}\right) \) | Adjustment of the estimate used for decision rule | Estimate used for decision rule | Adjustment of the estimate used for calculating the number of events for phase III | Estimate used for calculating the number of events for phase III |
---|---|---|---|---|

\( S\left({\hat{\theta}}_2^u,{\hat{\theta}}_2^u\right) \) (unadjusted) |
none (s_{1} = u)
| \( {\hat{\theta}}_2^u \) |
none (s_{2} = u)
| \( {\hat{\theta}}_2^u \) |

\( S\left({\hat{\theta}}_2^u,{\hat{\theta}}_2^{\lambda}\right) \) (multiplicative) |
multiplicative (s_{2} = λ)
| \( {\hat{\theta}}_2^{\lambda } \) | ||

\( S\left({\hat{\theta}}_2^u,{\hat{\theta}}_2^{\alpha_{CI}}\right) \) (additive) |
additive (s_{2} = α_{CI})
| \( {\hat{\theta}}_2^{\alpha_{CI}} \) | ||

\( S\left({\hat{\theta}}_2^{\lambda },{\hat{\theta}}_2^{\lambda}\right) \) (multiplicative) |
multiplicative (s_{1} = λ)
| \( {\hat{\theta}}_2^{\lambda } \) |
multiplicative (s_{2} = λ)
| \( {\hat{\theta}}_2^{\lambda } \) |

\( S\left({\hat{\theta}}_2^{\alpha_{CI}},{\hat{\theta}}_2^{\alpha_{CI}}\right) \) (additive) |
additive ( s_{1} = α_{CI})
| \( {\hat{\theta}}_2^{\alpha_{CI}} \) |
additive (s_{2} = α_{CI})
| \( {\hat{\theta}}_2^{\alpha_{CI}} \) |