Table 5.
All possible outcomes, p-values, and corresponding decisions for an RCT with n = 8 patients (4 per treatment arm) with Fisher’s exact test
| Number of responders | Difference in proportions (Experimental vs. Control) | Fisher’s exact test 1-sided p-value | Decisiona | |
|---|---|---|---|---|
| Experimental | Control | |||
| 0/4 | 0/4 | 0 | 1.0 | F |
| 1/4 | 1/4 | 0 | 0.7857 | F |
| 2/4 | 2/4 | 0 | 0.7571 | F |
| 3/4 | 3/4 | 0 | 0.7857 | F |
| 4/4 | 4/4 | 0 | 1.0 | F |
| 1/4 | 0/4 | 0.25 | 0.5 | F |
| 2/4 | 0/4 | 0.50 | 0.2143 | F |
| 3/4 | 0/4 | 0.75 | 0.0714 | S |
| 4/4 | 0/4 | 1 | 0.0143 | S |
| 0/4 | 1/4 | -0.25 | 1.0 | F |
| 0/4 | 2/4 | -0.50 | 1.0 | F |
| 0/4 | 3/4 | -0.75 | 1.0 | F |
| 0/4 | 4/4 | -1 | 1.0 | F |
| 2/4 | 1/4 | 0.25 | 0.5 | F |
| 3/4 | 1/4 | 0.50 | 0.2429 | F |
| 4/4 | 1/4 | 0.75 | 0.0714 | S |
| 1/4 | 2/4 | -0.25 | 0.9286 | F |
| 1/4 | 3/4 | -0.50 | 0.9857 | F |
| 1/4 | 4/4 | -0.75 | 1.0 | F |
| 3/4 | 2/4 | 0.25 | 0.5 | F |
| 4/4 | 2/4 | 0.50 | 0.2143 | F |
| 2/4 | 3/4 | -0.25 | 0.9286 | F |
| 2/4 | 4/4 | -0.50 | 1.0 | F |
| 4/4 | 3/4 | 0.25 | 0.5 | F |
| 3/4 | 4/4 | -0.25 | 1.0 | F |
aF Declare study a failure, S Declare study a success