Table 13 The IEEE CEC2022 test functions’ p values at the 5% significant level using the Wilcoxon rank- sum test.

From: An enhanced opposition-based African vulture optimizer for solving engineering design problems and global optimization

Func

SCA vs EOBAVO

PSO vs EOBAVO

WOA vs EOBAVO

SSA vs EOBAVO

AVO vs EOBAVO

OBAVO vs EOBAVO

ROBAVO vs EOBAVO

P values

H

P values

H

P values

H

P values

H

P values

H

P values

H

P values

H

CEC01

4.27E−06

+

1.57E−05

+

1.11E−05

+

1.04E−05

+

5.73E−06

+

8.48E−05

+

3.89E−03

+

CEC02

1.14E−05

+

3.04E−06

+

8.76E−01

8.94E−01

1.38E−01

1.02E−04

+

1.51E−01

CEC03

1.27E−05

+

1.11E−06

+

6.01E−06

+

1.50E−05

+

1.85E−01

3.03E−06

+

6.43E−01

CEC04

9.98E−06

+

1.24E−05

+

1.47E−05

+

1.32E−05

+

1.42E−05

+

1.46E−04

+

9.11E−06

+

CEC05

7.90E−01

9.62E−06

+

6.58E−06

+

2.54E−06

+

2.14E−06

+

1.56E−04

+

1.52E−01

CEC06

6.90E−06

+

1.41E−05

+

1.3681E+00

5.22E−06

+

6.66E−06

+

9.47E−05

+

1.05E−01

CEC07

5.84E−01

2.34E−06

+

7.36E−01

4.16E−06

+

1.34E−05

+

1.17E−04

+

1.96E−01

CEC08

1.56E−05

+

1.33E−05

+

6.32E−06

+

1.25E−05

+

2.51E−01

1.55E−04

+

1.57E−05

+

CEC09

1.39E−05

+

3.38E−06

+

7.75E−01

5.62E−07

+

3.84E−06

+

1.18E−04

+

1.05E−05

+

CEC10

1.62E−05

+

2.74E−06

+

5.05E−06

+

9.55E−06

+

1.21E−05

+

8.56E−02

5.61E−01

CEC11

2.08E−06

+

2.75E−06

+

1.25E−05

+

1.28E−05

+

1.21E−05

+

9.66E−05

+

2.33E−01

CEC12

1.22E−05

+

1.36E−05

+

8.42E−06

+

1.47E−01

1.07E−05

+

1.02E−04

+

1.33E−05

+