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Table 2 Minimum detectable OR at 80% power and α = 5 × 10–8 for a GWAS by control minor allele frequencies, number of controls/case, and number of cases

From: Increase in power by obtaining 10 or more controls per case when type-1 error is small in large-scale association studies

Number of cases

Number of controls/case

 

Minor allele frequency in controls

0.01

0.05

0.1

0.2

0.5

2,500 cases

1

2.74

1.68

1.48

1.35

1.29

4

2.42

1.54

1.38

1.28

1.22

10

2.35

1.51

1.35

1.26

1.21

50

2.31

1.49

1.34

1.25

1.20

5,000 cases

1

2.12

1.46

1.33

1.24

1.20

4

1.91

1.36

1.26

1.19

1.15

10

1.86

1.34

1.24

1.18

1.14

50

1.83

1.33

1.23

1.17

1.14

10,000 cases

1

1.74

1.31

1.22

1.17

1.134

4

1.60

1.25

1.18

1.13

1.105

10

1.57

1.23

1.17

1.12

1.098

50

1.55

1.23

1.16

1.12

1.094

20,000 cases

1

1.50

1.216

1.155

1.116

1.093

4

1.40

1.171

1.123

1.091

1.073

10

1.38

1.161

1.115

1.086

1.068

50

1.37

1.155

1.111

1.082

1.066

40,000 cases

1

1.34

1.150

1.108

1.081

1.065

4

1.27

1.119

1.086

1.064

1.051

10

1.26

1.112

1.080

1.060

1.048

50

1.25

1.108

1.077

1.058

1.046

80,000 cases

1

1.24

1.105

1.076

1.057

1.046

4

1.19

1.083

1.060

1.045

1.036

10

1.18

1.078

1.056

1.042

1.034

50

1.17

1.075

1.054

1.040

1.032

160,000 cases

1

1.165

1.074

1.053

1.04

1.032

4

1.131

1.058

1.042

1.031

1.025

10

1.123

1.055

1.04

1.03

1.024

50

1.118

1.053

1.038

1.028

1.023

320,000 cases

1

1.115

1.052

1.037

1.028

1.022

4

1.091

1.041

1.03

1.022

1.018

10

1.086

1.038

1.028

1.021

1.017

50

1.083

1.037

1.027

1.02

1.016