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Table 3 Estimated median of the point estimates of γ, CP (in %), ML (in %), MR (in %), Ratio (ML/(ML + MR)), DP (in %) and EP (in %) of two-sided 95% CIs of γ for the LR, Fieller’s and delta methods against γ, with a = 0.1 and 0.3, p = 0.1 and 0.3, n = 1,000 and ρ = 0 based on 10,000 replicates

From: A statistical measure for the skewness of X chromosome inactivation for quantitative traits and its application to the MCTFR data

    

LR

Fieller

Deltaa

a

p

γ

Median

CP

ML

MR

Ratio

DP

EP

CP

ML

MR

Ratio

DP

EP

CP

ML

MR

Ratio

0.1

0.1

0

0.01

95.04

2.53

0.00

1.00

2.02

1.58

95.13

2.48

0.00

1.00

1.97

1.51

99.76

0.24

0.00

1.00

0.1

0.1

0.5

0.47

94.89

1.57

2.44

0.39

0.20

0.06

95.00

1.54

2.36

0.39

0.20

0.06

93.76

0.00

6.24

0.00

0.1

0.1

1

0.95

95.11

0.91

2.59

0.26

0.03

0.21

95.20

0.87

2.58

0.25

0.02

0.19

89.73

0.00

10.27

0.00

0.1

0.1

1.5

1.42

94.70

0.66

2.51

0.21

0.00

0.83

94.77

0.67

2.45

0.21

0.00

0.83

88.87

0.00

11.13

0.00

0.1

0.1

2

1.89

95.04

0.00

2.55

0.00

0.00

2.40

95.02

0.00

2.56

0.00

0.00

2.42

88.84

0.00

11.16

0.00

0.1

0.3

0

0.00

95.08

2.57

0.00

1.00

0.00

2.35

95.10

2.53

0.00

1.00

0.00

2.37

97.14

2.86

0.00

1.00

0.1

0.3

0.5

0.50

94.71

2.70

2.58

0.51

0.00

0.01

94.76

2.64

2.59

0.50

0.00

0.01

96.87

1.10

2.03

0.35

0.1

0.3

1

1.00

95.29

2.43

2.27

0.52

0.00

0.00

95.26

2.45

2.29

0.52

0.00

0.00

96.23

0.12

3.65

0.03

0.1

0.3

1.5

1.50

94.81

2.64

2.50

0.51

0.00

0.05

94.98

2.52

2.45

0.51

0.00

0.05

94.85

0.00

5.15

0.00

0.1

0.3

2

2.00

94.98

0.00

2.51

0.00

0.00

2.51

95.10

0.00

2.43

0.00

0.00

2.47

94.53

0.00

5.47

0.00

0.3

0.1

0

0.00

94.90

2.52

0.00

1.00

2.01

1.73

94.93

2.56

0.00

1.00

2.08

1.69

99.74

0.26

0.00

1.00

0.3

0.1

0.5

0.47

94.95

1.49

2.53

0.37

0.15

0.06

94.95

1.49

2.54

0.37

0.16

0.06

94.27

0.00

5.73

0.00

0.3

0.1

1

0.95

94.96

0.79

2.73

0.22

0.07

0.23

95.00

0.82

2.65

0.24

0.07

0.19

89.67

0.00

10.33

0.00

0.3

0.1

1.5

1.39

94.91

0.67

2.69

0.20

0.00

0.85

94.93

0.64

2.67

0.19

0.00

0.81

88.49

0.00

11.51

0.00

0.3

0.1

2

1.92

94.87

0.00

2.57

0.00

0.00

2.56

94.81

0.00

2.56

0.00

0.00

2.63

88.66

0.00

11.34

0.00

0.3

0.3

0

0.00

95.06

2.43

0.00

1.00

0.00

2.51

95.15

2.37

0.00

1.00

0.00

2.48

97.21

2.79

0.00

1.00

0.3

0.3

0.5

0.50

95.09

2.50

2.39

0.51

0.00

0.00

95.08

2.50

2.42

0.51

0.00

0.00

97.10

0.99

1.91

0.34

0.3

0.3

1

1.00

94.76

2.56

2.68

0.49

0.00

0.00

94.77

2.56

2.67

0.49

0.00

0.00

95.54

0.12

4.34

0.03

0.3

0.3

1.5

1.50

94.93

2.39

2.55

0.48

0.00

0.10

94.95

2.35

2.59

0.48

0.00

0.11

94.95

0.00

5.05

0.00

0.3

0.3

2

2.00

95.18

0.00

2.20

0.00

0.00

2.61

95.11

0.00

2.21

0.00

0.00

2.68

94.88

0.00

5.12

0.00

  1. a DP and EP of the delta method are zero