Table 5 Eigenvalues, cumulative contribution rates and non-centrality parameters for Scenarios (S9) to (S16).

From: Power Calculation of Multi-step Combined Principal Components with Applications to Genetic Association Studies

i

S9–S12

S9

S10

S11

S12

S13–S16

S13

S14

S15

S16

λ i

ci (%)

Ωi

Ωi

Ωi

Ωi

λ i

c (%)

Ωi

Ωi

Ωi

Ωi

1

7.23

36.1%

5.97

1.49

0.45

0.01

1.49

7.50%

11.60

6.51

1.25

0.01

2

4.32

57.8%

0.00

2.26

1.65

0.08

1.46

14.8%

0.00

6.60

3.54

0.05

3

2.45

70.0%

0.64

0.16

2.37

0.20

1.42

21.8%

1.25

0.70

4.31

0.11

4

1.47

77.4%

0.00

0.21

1.49

0.39

1.36

28.6%

0.00

0.00

2.95

0.19

5

0.96

82.1%

0.20

0.05

0.21

0.62

1.29

35.1%

0.42

0.24

1.06

0.27

6

0.67

85.5%

0.00

0.82

0.12

0.88

1.22

14.2%

0.00

0.79

0.11

0.37

7

0.50

88.0%

0.09

0.02

0.57

1.14

1.15

47.0%

0.20

0.11

0.00

0.45

8

0.38

89.9%

0.00

0.35

0.32

1.38

1.08

52.4%

0.00

0.01

0.01

0.53

9

0.31

91.4%

0.05

0.01

0.00

1.56

1.02

57.5%

0.10

0.06

0.02

0.58

10

0.26

92.7%

0.00

0.65

0.56

1.68

0.96

62.2%

0.00

0.31

0.24

0.61

11

0.22

93.8%

0.02

0.01

1.11

1.72

0.90

66.8%

0.06

0.03

0.45

0.62

12

0.19

94.7%

0.00

0.42

0.62

1.67

0.86

71.0%

0.00

0.03

0.33

0.60

13

0.17

95.6%

0.01

0.00

0.01

1.55

0.81

75.1%

0.03

0.02

0.07

0.55

14

0.15

96.3%

0.00

0.56

0.34

1.36

0.78

79.0%

0.00

0.17

0.01

0.48

15

0.14

97.0%

0.00

0.00

0.80

1.12

0.75

82.7%

0.01

0.01

0.07

0.39

16

0.13

97.7%

0.00

0.46

0.41

0.86

0.72

86.3%

0.00

0.05

0.44

0.30

17

0.12

98.3%

0.00

0.00

0.00

0.59

0.70

89.8%

0.00

0.00

0.00

0.21

18

0.12

98.9%

0.00

0.53

0.47

0.35

0.69

93.3%

0.00

0.11

0.10

0.12

19

0.11

99.4%

0.00

0.00

0.93

0.16

0.68

96.7%

0.00

0.00

0.18

0.06

20

0.11

100%

0.00

0.49

0.46

0.04

0.67

100%

0.00

0.07

0.09

0.01