Table 7 The Wilcoxon signed rank test results between CDAOA and other intelligent algorithms.

From: A chaotic arithmetic optimization algorithm with Cauchy perturbation and differential evolution for engineering design problems

Functions

CDAOA vs. EVO

CDAOA vs. SWO

CDAOA vs. KOA

CDAOA vs. GRO

CDAOA vs. GOOSE

R+

R-

P-VALUE

S

R+

R-

P-VALUE

S

R+

R-

P-VALUE

S

R+

R-

P-VALUE

S

R+

R-

P-VALUE

S

1

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

2

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

3

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

4

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

5

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

6

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

7

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

8

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

9

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

10

459

6

4.20E-10

+

464

1

7.39E-11

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

11

465

0

1.21E-12

+

0

0

1.00E+00

=

465

0

1.21E-12

+

0

0

1.00E+00

=

414

51

1.93E-10

+

12

465

0

1.21E-12

+

0

0

1.00E+00

=

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

13

387

78

1.44E-04

+

0

0

1.00E+00

=

465

0

1.21E-12

+

0

0

1.00E+00

=

416

49

1.92E-10

+

14

442

23

1.53E-05

+

463

2

2.61E-10

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

15

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

465

0

1.21E-12

+

435

30

4.57E-12

+

16

378

87

1.27E-02

+

465

0

1.21E-12

+

418

47

8.66E-05

+

418

47

8.66E-05

+

406

59

3.01E-11

+

\(+ / = / -\)

16/0/0

13/3/0

16/0/0

14/2/0

16/0/0