Table 2

Average formulation versus 95% probability formulation under the independent model.a

Average formulation:

Univariate method

95% probability formulation:

Binomial method



π1

λ0

nb

λ

ϕλ0

nc

λ

ϕλ0


5%

60%

9

0.70

0.985

9

0.70

0.985

70%

9

0.70

0.576

10

0.81

0.997

80%

10

0.81

0.681

11

0.88

0.993

90%

12

0.92

0.866

13

0.95

0.992

10%

60%

8

0.70

0.999

8

0.70

0.999

70%

8

0.71

0.687

9

0.82

1.000

80%

9

0.82

0.841

10

0.89

1.000

90%

11

0.93

0.977

11

0.93

0.977

20%

60%

7

0.72

1.000

7

0.72

1.000

70%

7

0.74

0.975

7

0.74

0.975

80%

8

0.85

0.996

8

0.85

0.996

90%

9

0.91

0.792

10

0.95

1.000


a. Estimated sample size n, average sensitivity λ and probability ϕλ0 for the specified sensitivity λ0 = 60%, 70%, 80%, 90%, under the independent model. The parameters used in the calculation were: m = 2,000, π1 = 5%, 10%, 20%, δ0 = 2 and q* = 0.05.

b. Sample size n is computed by the univariate method from Equation (1) to achieve sensitivity λ0 on average.

c. Sample size n is calculated using Tsai et al. [7] method to ensure the probability ϕλ0 of detecting at least λ0 fraction of differentially expressed genes is at least 95%.

Lin et al. BMC Bioinformatics 2010 11:48   doi:10.1186/1471-2105-11-48

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