Sample size

Correlation approach

True population coefficients

0

0.2

0.4

0.6

0.8

Pearson

5.02

8.89

15.73

28.30

52.95

Spearman-Rank

1.64

1.99

3.05

5.39

11.85

5

Kendal-Tau

1.64

2.01

3.15

5.84

13.43

Permutation

5.94

10.09

17.94

29.06

51.48

Winsorized

4.98

8.95

15.91

28.63

53.16

Pearson

5.14

13.15

30.29

58.24

89.65

Spearman-Rank

4.94

7.47

17.00

37.02

72.21

10

Kendal-Tau

4.69

7.33

16.99

38.25

75.05

Permutation

5.08

13.92

34.11

64.31

92.07

Winsorized

5.13

13.66

30.64

58.84

89.73

Pearson

4.94

19.97

52.14

87.01

99.64

Spearman-Rank

4.94

11.74

35.56

74.01

98.16

20

Kendal-Tau

4.75

11.66

36.12

75.44

98.52

Permutation

4.91

20.83

51.68

87.72

99.59

Winsorized

5.08

19.22

49.29

84.45

99.31

Pearson

4.98

26.35

68.06

96.47

99.99

Spearman-Rank

5.06

16.16

52.67

90.88

99.92

30

Kendal-Tau

4.92

16.42

54.38

92.16

99.94

Permutation

4.81

26.35

68.56

97.03

100.00

Winsorized

5.16

25.23

65.62

95.31

99.97

Pearson

4.99

37.27

86.92

99.77

100.00

Spearman-Rank

5.03

36.29

85.33

99.67

100.00

50

Kendal-Tau

4.93

25.94

78.53

99.41

100.00

Permutation

5.33

38.29

87.26

99.71

100.00

Winsorized

5.00

35.86

85.23

99.65

100.00

Pearson

4.91

59.65

98.93

100.00

100.00

Spearman-Rank

4.99

58.38

98.71

99.99

100.00

100

Kendal-Tau

5.01

47.31

97.77

99.99

100.00

Permutation

5.32

59.69

98.82

100.00

100.00

Winsorized

5.08

57.95

98.55

99.99

100.00