Distribution

True Value

of ξ *

Method

Simple

Substitution

LOD/2

Complex

Substitution

Random

Imputation

Spearman’s rs

(Jackknife Interval)

Maximum Likelihood

Normal

−0.9

0.0

0.0

0.0

15.8

90.8

Normal

−0.5

62.0

82.5

45.5

91.6

94.6

Normal

−0.25

92.4

93.6

85.5

93.3

94.9

Normal

0.0

95.0

94.9

94.8

94.4

95.0

Normal

0.25

89.3

91.8

85.5

93.0

95.0

Normal

0.5

79.8

86.0

46.8

91.9

94.9

Normal

0.75

62.0

70.4

2.6

89.0

94.7

Normal

0.9

25.6

24.9

0.0

76.7

94.4

Non-Normal

−0.9

1.6

2.9

0.0

15.4

87.6

Non-Normal

−0.5

80.1

75.1

4.4

92.0

91.7

Non-Normal

−0.25

90.2

89.5

67.5

93.3

92.9

Non-Normal

0.0

94.9

95.0

94.9

94.2

89.3

Non-Normal

0.25

89.6

91.6

57.6

94.2

94.0

Non-Normal

0.5

86.3

85.8

11.3

93.4

93.5

Non-Normal

0.75

82.7

72.8

0.9

91.1

93.4

Non-Normal

0.9

38.5

31.7

0.6

79.8

91.4