Table 4 p-Values of the Wilcoxon rank-sum test.
Function | Dimension | MA | PSO | GA | FA | SCA |
|---|---|---|---|---|---|---|
Ackley | 2 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 |
4 | < 0.001 | 0.475 | < 0.001 | < 0.001 | < 0.001 | |
6 | < 0.001 | 0.007 | < 0.001 | < 0.001 | < 0.001 | |
8 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
10 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
15 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
20 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
Rastrigin | 2 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 |
4 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
6 | < 0.001 | < 0.001 | 0.075 | < 0.001 | < 0.001 | |
8 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
10 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
15 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
20 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
Drop-wave | 2 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 |
4 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
6 | < 0.001 | 0.058 | < 0.001 | < 0.001 | < 0.001 | |
8 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
10 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
15 | 0.407 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
20 | < 0.001 | 0.312 | < 0.001 | < 0.001 | < 0.001 | |
Griewank | 2 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 |
4 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
6 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
8 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
10 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
15 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
20 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
Levy | 2 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 |
4 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
6 | < 0.001 | 0.012 | < 0.001 | < 0.001 | < 0.001 | |
8 | < 0.001 | 0.140 | < 0.001 | < 0.001 | < 0.001 | |
10 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
15 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
20 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
Weierstrass | 2 | < 0.001 | < 0.001 | 0.004 | < 0.001 | < 0.001 |
4 | < 0.001 | 0.014 | 0.220 | < 0.001 | < 0.001 | |
6 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
8 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
10 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
15 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
20 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
Sphere | 2 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 |
4 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
6 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
8 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
10 | < 0.001 | 0.002 | < 0.001 | < 0.001 | < 0.001 | |
15 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | |
20 | < 0.001 | < 0.001 | < 0.001 | < 0.001 | < 0.001 |