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.

From: Hybrid prediction system for reliable multi-seasonal sustainable energy generation under meteorological and environmental volatility

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