Sample size

Correlation approach

True correlation coefficients

0

0.2

0.4

0.6

0.8

Pearson

4.93

9.00

16.50

30.42

58.23

Spearman-Rank

1.70

2.02

3.03

5.75

13.44

5

Kendal-Tau

1.67

2.00

3.04

5.88

13.45

Permutation

6.03

11.01

17.85

30.84

55.43

Winsorized

4.96

9.21

16.63

30.37

58.46

Pearson

5.14

13.77

32.17

62.56

92.76

Spearman-Rank

4.95

7.50

17.86

39.01

75.75

10

Kendal-Tau

4.16

7.48

17.01

38.15

74.73

Permutation

5.75

16.27

36.22

68.36

94.88

Winsorized

5.10

13.87

31.66

60.59

90.92

Pearson

4.83

22.01

57.86

91.53

99.88

Spearman-Rank

4.89

11.96

37.15

76.70

98.66

20

Kendal-Tau

4.77

11.49

36.11

75.41

98.56

Permutation

5.88

24.04

57.34

91.33

99.90

Winsorized

4.95

19.91

50.79

85.77

99.47

Pearson

4.95

28.17

72.71

97.74

99.99

Spearman-Rank

4.97

17.03

54.40

92.31

99.94

30

Kendal-Tau

4.99

16.74

54.30

92.26

99.93

Permutation

5.06

30.75

74.28

97.76

100.00

Winsorized

5.00

25.85

67.18

96.00

99.98

Pearson

4.92

40.08

90.10

99.90

100.00

Spearman-Rank

5.02

37.77

86.62

99.76

100.00

50

Kendal-Tau

5.01

25.89

78.51

99.39

100.00

Permutation

5.14

42.23

90.14

99.97

100.00

Winsorized

4.85

59.32

98.85

100.00

100.00

Pearson

4.93

64.10

99.46

100.00

100.00

Spearman-Rank

4.96

59.83

98.95

100.00

100.00

100

Kendal-Tau

5.00

47.47

97.75

100.00

100.00

Permutation

5.29

34.20

82.18

99.41

100.00

Winsorized

4.91

59.32

98.85

100.00

100.00