Table 9 Cliff’s delta effect size (δ = P(X > Y) - P(X < Y)) of NCRBMO and competitive algorithms on CEC2017 test functions. |δ| ≥ 0.474 is considered a large difference from the NCRBMO; 0.33 ≤ |δ| < 0.474 is considered a moderate difference; 0.147 ≤ |δ| < 0.33 is considered a small difference; |δ| < 0.147 is considered negligible.
Types | δ(PO) | δ(HO) | δ(BKA) | δ(APO) | δ(DBO) | δ(SCSO) |
|---|---|---|---|---|---|---|
F1 | 1 | 1 | 1 | 1 | 1 | 1 |
F3 | 1 | 1 | 1 | 1 | 1 | 1 |
F4 | 1 | 0.9644 | 1 | 0.4533 | 0.9756 | 1 |
F5 | 1 | 1 | 1 | 0.3022 | 0.9956 | 1 |
F6 | 1 | 1 | 1 | 0.3044 | 1 | 1 |
F7 | 1 | 1 | 1 | 0.3933 | 0.9889 | 1 |
F8 | 1 | 0.9778 | 1 | 0.4756 | 1 | 1 |
F9 | 1 | 1 | 1 | 0.0156 | 1 | 1 |
F10 | 0.7733 | 0.5956 | 0.5222 | 0.8111 | 0.7156 | 0.7044 |
F11 | 1 | 1 | 1 | 0.5111 | 1 | 1 |
F12 | 1 | 1 | 1 | 0.68 | 1 | 1 |
F13 | 1 | 1 | 1 | 0.1482 | 1 | 1 |
F14 | 1 | 1 | 1 | 0.0378 | 1 | 1 |
F15 | 1 | 0.9911 | 0.9889 | 0.3956 | 0.9622 | 1 |
F16 | 0.9956 | 0.9933 | 0.9422 | 0.4956 | 0.9711 | 0.9756 |
F17 | 0.9267 | 0.9444 | 0.8844 | 0.2867 | 0.9911 | 0.9244 |
F18 | 1 | 0.9978 | 0.8533 | 0.3867 | 1 | 0.9711 |
F19 | 1 | 0.9956 | 0.9533 | 0.4333 | 0.8333 | 0.9956 |
F20 | 0.9689 | 0.9222 | 0.7822 | 0.4733 | 0.9244 | 0.9556 |
F21 | 1 | 0.9333 | 1 | 0.3133 | 1 | 1 |
F22 | 1 | 1 | 1 | 0.8333 | 1 | 1 |
F23 | 1 | 1 | 1 | 0.6556 | 1 | 1 |
F24 | 1 | 1 | 1 | 0.1511 | 1 | 1 |
F25 | 1 | 1 | 1 | 0.3178 | 0.9333 | 1 |
F26 | 0.8378 | 0.8378 | 0.8267 | 0.2022 | 0.9667 | 0.9378 |
F27 | 0.9778 | 0.9667 | 0.9444 | 0.5331 | 0.9444 | 0.9978 |
F28 | 1 | 1 | 1 | 0.6956 | 1 | 1 |
F29 | 1 | 1 | 0.9978 | 0.1956 | 1 | 0.9733 |
F30 | 1 | 1 | 1 | 0.8822 | 1 | 1 |