Table 2 Example: Comparison of sample size formulas
From: Sample size calculation in multi-centre clinical trials
Block length | Formula | Number of centres | ||
|---|---|---|---|---|
c=23 | c=46 | c=92 | ||
6 | \(N^{k}_{\text {lower}}\) | 503 | 503 | 503 |
\(N^{k}_{\mathrm {MC,E}}\) | 525 | 524 | 569 | |
\(N^{k}_{\mathrm {MC,U}}\) | 528 | 552 | 594 | |
\(N^{k}_{\text {upper}}\) | 541 | 575 | 634 | |
8 | \(N^{k}_{\text {lower}}\) | 503 | 503 | 503 |
\(N^{k}_{\mathrm {MC,E}}\) | 525 | 587 | 606 | |
\(N^{k}_{\mathrm {MC,U}}\) | 535 | 564 | 616 | |
\(N^{k}_{\text {upper}}\) | 551 | 592 | 662 | |
16 | \(N^{k}_{\text {lower}}\) | 503 | 503 | 503 |
\(N^{k}_{\mathrm {MC,E}}\) | 586 | 603 | 762 | |
\(N^{k}_{\mathrm {MC,U}}\) | 561 | 610 | 692 | |
\(N^{k}_{\text {upper}}\) | 587 | 654 | 762 | |