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Table 2 Maximum power as a function of the number of genotyping(G = J × K), number of replicates giving maximum power (K o (G)), number of replicates (K) at 95% of the maximum power at specific experimental and genetic parameters and the power at K = 1 when assuming no machine replicability variability (m = 1)

From: Incorporation of genetic model parameters for cost-effective designs of genetic association studies using DNA pooling

Situation

N

MOI

R 2

α

m

MAF

p r

G = 40

G = 80

G = 160

G = 320

G = 640

1

10000

R

2.2

0.0001

2.25

0.20

0.9

38%, 2, (2), 82%

54%, 4, (3–4), 85%

64%,6, (4–7), 87%

72%, 10, (5–16), 87%

77%, 13, (6–27), 88%

2

10000

R

2.0

0.001

2.25

0.20

0.9

43%, 2, (2), 79%

56%, 4, (3–4), 81%

65%, 7, (4–7), 82%

71%, 11, (6–16), 83%

75%, 16, (7–32), 83%

3

10000

R

1.8

0.01

2.25

0.20

0.9

50%, 2, (2), 79%

62%, 4, (3–4), 80%

68%, 7, (5–7), 80%

72%, 13, (6–16), 80%

75%, 20, (7–32), 81%

4

10000

R

2.2

0.0001

2.25

0.15

1

69%, 2, (2), 98%

84%, 4, (3–4), 99%

90%, 6, (3–7), 99%

95%, 10, (4–16), 99%

96%, 13, (4–32), 99%

5

10000

R

2.2

0.0001

2.0

0.15

1

75%, 2, (2), 98%

87%, 4, (2–4), 99%

92%, 5, (3–7), 99%

95%, 8, (3–16), 99%

97%, 12 (3–32), 99%

6

10000

R

2.0

0.0001

2.25

0.15

1

43%,2, (2), 86%

59%, 4, (3–4), 89%

70%, 6, (4–7), 90%

77%, 10, (5–16), 91%

82%, 13, (6–28), 91%

7

10000

R

2.0

0.0001

2.0

0.15

1

49%, 2 (2), 86%

63%, 4, (3–4), 89%

73%, 5, (4–7), 90%

79%, 8, (4–16), 91%

83%, 12, (5–27), 91%

8

2000

D

1.5

0.0001

2.25

0.15

0.9

57%, 3, (2–3), 94%

73%, 4, (3–6), 96%

82%, 6, (4–10), 96%

88%, 10, (4–18), --

91%, 13, (5–32), --

9

2000

D

1.5

0.0001

2.25

0.15

1

65%, 3, (2–3), 97%

80%, 4, (3–6),98%

88%, 6, (3–9), 98

92%, 10, (4–21), --

95%, 13, (4–40), --

10

2000

D

1.5

0.0001

2.0

0.15

1

70%, 2, (2–3), 97%

83%, 4, (3–6), 98%

90%, 5. (3–10), 98%

94%, 8, (3–20), --

96%, 12, (4–37), --

  1. We only consider designs in which the pool size (T) is between 10 and 500. The prevalence φ is 0.05 and disease allele frequency p d is 0.15.
  2. --: the size of pool is out of our consideration, no power is provided;
  3. N: sample size in cases or controls;
  4. MOI: mode of inheritance (R = recessive MOI and D= dominant MOI);
  5. R2: relative risk for subjects homozygous for disease allele;
  6. α: significance level;
  7. m: machine replicability variance factor;
  8. MAF: minor SNP marker allele frequency;
  9. p r : measure of linkage disequilibrium.