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Table 1 Estimated CP (%), ML (%), MR (%), ML/(ML+MR) and DP (%) of the two-sided 95% CI when N=500, ρ=0 and λ2=1.5 for the LR, Fieller’s and delta methods

From: A statistical measure for the skewness of X chromosome inactivation based on case-control design

  

LR

Fieller

Delta

p

γ

CP

(ML, MR)

\(\frac {\text {ML}}{\text {ML+MR}}\)

DP

CP

(ML, MR)

\(\frac {\text {ML}}{\text {ML+MR}}\)

DP

CP

(ML, MR)

\(\frac {\text {ML}}{\text {ML+MR}}\)

DP

0.1

0

94.75

(4.78, 0.47)

0.91

1.96

94.93

(4.89, 0.18)

0.96

2.28

100

(0, 0)

0

 

0.5

95.78

(1.49, 1.65)

0.47

1.44

96.81

(1.58, 0.62)

0.72

1.49

95.72

(0, 4.28)

0

0

 

1

96.13

(0.90, 2.33)

0.28

1.82

98.18

(0.73, 0.60)

0.55

1.82

79.38

(0, 20.62)

0

0

 

1.5

96.39

(0.64, 2.84)

0.18

1.69

98.72

(0.37, 0.75)

0.33

1.85

70.83

(0, 29.17)

0

0

 

2

96.68

(0, 3.32)

0

2.35

98.99

(0, 1.01)

0

2.49

67.71

(0, 32.29)

0

0

0.3

0

94.72

(3.88, 1.40)

0.73

1.27

94.75

(3.87, 1.38)

0.74

1.31

99.22

(0.78, 0)

1

0

 

0.5

95.21

(2.45, 1.96)

0.56

0.73

95.25

(2.44, 1.93)

0.56

0.73

99.75

(0.02, 0.23)

0.08

0

 

1

94.77

(1.99, 2.85)

0.41

0.69

94.88

(1.98, 2.78)

0.42

0.65

96.70

(0, 3.30)

0

0

 

1.5

95.22

(1.26, 3.33)

0.27

0.88

95.39

(1.25, 3.14)

0.28

0.91

92.29

(0, 7.71)

0

0

 

2

94.72

(0.37, 4.91)

0.07

1.29

95.16

(0.34, 4.50)

0.07

1.36

88.11

(0, 11.89)

0

0