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Table 5 Friedman rank data for k = 11 methods and n = 4 performance indicators (Ruijter et al. [69])

From: Exact p-values for pairwise comparison of Friedman rank sums, with application to comparing classifiers

Method

Rank sum

Cy0

LinRegPCR

Standard-Cq

PCR-Miner

MAK2

LRE-E100

5PSM

DART

FPLM

LRE-Emax

FPK-PCR

Cy0

7

 

3

3

10

11

15

25

27

29

31

33

LinRegPCR

10

1

 

0

7

8

12

22

24

26

28

30

Standard-Cq

10

1

1

 

7

8

12

22

24

26

28

30

PCR-Miner

17

1

1

1

 

1

5

15

17

19

21

23

MAK2

18

1

1

1

1

 

4

14

16

18

20

22

LRE-E100

22

1

1

1

1

1

 

10

12

14

16

18

5PSM

32

0.423

1

1

1

1

1

 

2

4

6

8

DART

34

0.220

0.578

0.578

1

1

1

1

 

2

4

6

FPLM

36

0.110

0.307

0.307

1

1

1

1

1

 

2

4

LRE-Emax

38

0.052

0.156

0.156

1

1

1

1

1

1

 

2

FPK-PCR

40

0.024

0.076

0.076

0.782

1

1

1

1

1

1

 

Cy0

  

1

1

0.993

0.985

0.883

0.216

0.130

0.073

0.038

0.019

LinRegPCR

 

1

 

1

1

0.999

0.972

0.403

0.271

0.169

0.098

0.053

Standard-Cq

 

1

1

 

1

0.999

0.972

0.403

0.271

0.169

0.098

0.053

PCR-Miner

 

1

1

1

 

1

1

0.883

0.773

0.631

0.477

0.334

MAK2

 

1

1

1

1

 

1

0.923

0.833

0.705

0.554

0.403

LRE-E100

 

1

1

1

1

1

 

0.993

0.972

0.923

0.833

0.705

5PSM

 

0.350

1

1

1

1

1

 

1

1

1

0.999

DART

 

0.150

0.514

0.514

1

1

1

1

 

1

1

1

FPLM

 

0.057

0.232

0.232

1

1

1

1

1

 

1

1

LRE-Emax

 

0.018

0.094

0.094

1

1

1

1

1

1

 

1

FPK-PCR

 

0.005

0.033

0.033

0.738

1

1

1

1

1

1

 
  1. Note: The upper top triangle displays the rank sum differences, upper bottom triangle the Bonferroni-adjusted normal approximate p-values, lower bottom triangle the Bonferroni-adjusted exact p-values, and lower top triangle the Studentized range approximate p-values. Bold figures indicate p-values ≤ .05