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 |