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Table 4 The ROC analysis and Cohen’s Kappa score of Jamu data. A value inside the bracket in the minimum distance and mean Kappa columns represents the ranking of an equation if we order based on respective columns. Standard deviations from both metrics are relatively similar and small, those are 2-4×10-4 for mean AUCs and 0-6×10-4 for mean of Kappa scores

From: Finding an appropriate equation to measure similarity between binary vectors: case studies on Indonesian and Japanese herbal medicines

No

Equations

S/D

Incl. d*

ROC analysis

Cohen’s Kappa

Mean AUCs

Min. distance

Mean Kappa

1

Eq. 48

S

Y

0.616

0.587 (3)

0.088 (13)

2

Eq. 74

S

Y

0.613

0.599 (29)

0.024 (28)

3

Eq. 49

S

Y

0.613

0.588 (4)

0.076 (15)

4

Eq. 54

S

Y

0.611

0.590 (5)

0.074 (19)

5

Eq. 44

S

Y

0.611

0.599 (19)

0.073 (21)

6

Eq. 66

S

Y

0.611

0.599 (26)

0.023 (31)

7

Eq. 68

S

Y

0.610

0.583 (1)

0.024 (29)

8

Eq. 79

S

Y

0.610

0.583 (2)

0.090 (11)

9

Eq. 78

S

 

0.609

0.599 (28)

0.092 (8)

10

Eq. 46

S

 

0.609

0.599 (20)

0.065 (23)

11

Eq. 01

S

 

0.609

0.599 (10)

0.052 (24)

12

Eq. 04

S

 

0.609

0.599 (11)

0.089 (12)

13

Eq. 06

S

 

0.609

0.599 (12)

0.036 (27)

14

Eq. 27

D

 

0.609

0.599 (14)

0.109 (7)

15

Eq. 02

S

 

0.609

0.599 (8)

0.074 (20)

16

Eq. 36

S

 

0.608

0.600 (31)

0.040 (25)

17

Eq. 29

D

 

0.608

0.599 (15)

0.076 (16)

18

Eq. 31

S

 

0.608

0.599 (16)

0.076 (17)

19

Eq. 57

S

Y

0.608

0.599 (22)

0.076 (18)

20

Eq. 71

S

Y

0.608

0.599 (9)

0.152 (6)

21

Eq. 39

S

 

0.607

0.599 (17)

0.078 (14)

22

Eq. 62

D

Y

0.606

0.599 (24)

0.185 (1)

23

Eq. 63

S

Y

0.606

0.599 (25)

0.167 (5)

24

Eq. 55

S

Y

0.606

0.599 (21)

0.180 (3)

25

Eq. 61

S

Y

0.606

0.599 (23)

0.183 (2)

26

Eq. 40

S

Y

0.605

0.599 (18)

0.180 (4)

27

Eq. 34

S

 

0.605

0.600 (30)

0.024 (30)

28

Eq. 45

S

 

0.605

0.599 (7)

0.091 (10)

29

Eq. 52

S

Y

0.604

0.597 (6)

0.092 (9)

30

Eq. 77

S

Y

0.604

0.599 (27)

0.067 (22)

31

Eq. 51

S

Y

0.604

0.602 (32)

0.039 (26)

32

Eq. 12

S

 

0.604

0.599 (13)

0.022 (32)

33

Eq. 10

S

Y

0.556

0.656 (33)

0.014 (34)

34

Eq. 35

S

Y

0.546

0.671 (34)

0.018 (33)

35

Eq. 59

S

Y

0.545

0.671 (35)

0.013 (35)

36

Eq. 24

D

Y

0.529

0.860 (44)

0.000 (43)

37

Eq. 15

D

 

0.529

0.680 (39)

0.004 (42)

38

Eq. 08

S

Y

0.529

0.680 (37)

0.010 (39)

39

Eq. 09

S

Y

0.529

0.680 (38)

0.010 (36)

40

Eq. 16

D

 

0.529

0.680 (40)

0.010 (38)

41

Eq. 07

S

Y

0.529

0.680 (36)

0.010 (37)

42

Eq. 25

D

Y

0.526

0.680 (41)

0.004 (41)

43

Eq. 26

D

Y

0.517

0.895 (45)

0.000 (44)

44

Eq. 47

S

 

0.515

0.684 (42)

0.005 (40)

45

Eq. 50

S

Y

0.466

0.754 (43)

-0.008 (45)

  1. The column "Incl. d" means the availability of negative match quantity d in the equation (Yes/No)