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Table 5 Simulation Results (Precise Mixtures, n1 = 200)

From: DNA methylation arrays as surrogate measures of cell mixture distribution

Strong Alternative I (θ = 0)

 

Truth

Est

SD

SE0

SE1

SE2

pow(0.05)

pow(0.01)

B Cell

0.0

0.07

1.00

0.92

0.97

0.98

0.057

0.018

Granulocyte

8.0

8.02

0.73

0.39

0.73

0.73

1.000

1.000

Monocyte

0.0

0.01

0.48

0.43

0.47

0.47

0.055

0.013

NK

0.0

−0.09

1.08

1.02

1.02

1.05

0.066

0.015

T Cell (cd4+)

−4.0

−4.06

0.81

0.80

0.78

0.81

0.999

0.989

T Cell (cd8+)

−2.0

−1.93

0.83

0.81

0.78

0.81

0.653

0.419

Strong Alternative II ( θ = 0)

 

Truth

Est

SD

SE 0

SE 1

SE 2

pow(0.05)

pow(0.01)

B Cell

0.0

0.00

0.97

0.92

0.97

0.99

0.048

0.016

Granulocyte

8.0

8.00

0.71

0.39

0.72

0.72

1.000

1.000

Monocyte

0.0

0.03

0.48

0.42

0.47

0.47

0.063

0.016

NK

0.0

0.03

1.04

1.02

1.01

1.05

0.052

0.014

T Cell (cd4+)

−6.0

−5.83

0.76

0.80

0.77

0.80

1.000

1.000

T Cell (cd8+)

0.0

−0.22

0.81

0.81

0.80

0.81

0.064

0.014

Mixed Alternative ( θ = 0.5)

 

Truth

Est

SD

SE 0

SE 1

SE 2

pow(0.05)

pow(0.01)

B Cell

0.0

−0.02

1.02

1.10

0.96

0.98

0.065

0.011

Granulocyte

4.0

3.99

0.75

0.47

0.73

0.73

1.000

0.995

Monocyte

0.0

0.02

0.49

0.51

0.47

0.47

0.060

0.015

NK

0.0

0.04

1.05

1.22

1.01

1.04

0.054

0.009

T Cell (cd4+)

−2.0

−2.07

0.82

0.96

0.79

0.83

0.695

0.471

T Cell (cd8+)

−1.0

−0.95

0.82

0.96

0.78

0.82

0.203

0.082

Mixed Null ( θ = 1)

 

Truth

Est

SD

SE 0

SE 1

SE 2

pow(0.05)

pow(0.01)

B Cell

0.0

0.00

1.04

1.58

0.96

1.02

0.066

0.017

Granulocyte

0.0

0.03

0.73

0.67

0.74

0.74

0.055

0.014

Monocyte

0.0

−0.01

0.47

0.73

0.47

0.48

0.054

0.013

NK

0.0

−0.01

1.12

1.76

1.01

1.09

0.063

0.014

T Cell (cd4+)

0.0

0.01

0.87

1.38

0.80

0.90

0.054

0.013

T Cell (cd8+)

0.0

−0.02

0.88

1.39

0.79

0.89

0.057

0.015

Strong Null ( θ = 0)

 

Truth

Est

SD

SE 0

SE 1

SE 2

pow(0.05)

pow(0.01)

B Cell

0.0

−0.01

0.99

0.90

0.96

0.96

0.068

0.014

Granulocyte

0.0

0.03

0.72

0.38

0.74

0.73

0.052

0.013

Monocyte

0.0

−0.01

0.47

0.42

0.47

0.47

0.055

0.013

NK

0.0

−0.01

1.06

1.00

1.01

1.02

0.059

0.020

T Cell (cd4+)

0.0

0.00

0.81

0.78

0.80

0.82

0.054

0.013

T Cell (cd8+)

0.0

−0.01

0.81

0.79

0.79

0.80

0.054

0.015

  1. Est = Men regression coefficient estimate (× 100%); SD = SD regression coefficient estimate (× 100%).
  2. SE0 = Naive standard error (× 100%); SE1 = Single-bootstrap standard error (× 100%).
  3. SE2 = Double-bootstrap standard error (× 100%).
  4. pow(α) = Pr{P 2 < α}, where P2 is the p-value computed from SE2.