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Table 6 Simulation Results (Noisy Mixtures, n1 = 200)

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

Strong Alternative I (θ = 0)

 

Truth

Est

SD

SE 0

SE 1

SE 2

pow(0.05)

pow(0.01)

B Cell

0.0

−0.06

1.39

0.92

1.36

1.34

0.065

0.019

Granulocyte

8.0

7.87

2.02

0.39

2.00

1.99

0.974

0.897

Monocyte

0.0

0.05

1.03

0.42

1.04

1.02

0.049

0.012

NK

0.0

−0.02

1.21

1.02

1.16

1.18

0.061

0.010

T Cell (cd4+)

−4.0

−4.00

1.23

0.79

1.21

1.22

0.903

0.739

T Cell (cd8+)

−2.0

−1.97

1.05

0.80

1.02

0.98

0.517

0.298

Strong Alternative II ( θ = 0)

 

Truth

Est

SD

SE 0

SE 1

SE 2

pow(0.05)

pow(0.01)

B Cell

0.0

−0.08

1.38

0.92

1.36

1.34

0.063

0.017

Granulocyte

8.0

7.90

2.03

0.39

1.99

1.98

0.973

0.905

Monocyte

0.0

0.10

1.07

0.42

1.04

1.02

0.054

0.019

NK

0.0

0.02

1.17

1.02

1.14

1.18

0.053

0.009

T Cell (cd4+)

−6.0

−5.70

1.19

0.80

1.13

1.16

0.999

0.986

T Cell (cd8+)

0.0

−0.23

1.08

0.81

1.10

1.04

0.066

0.015

Mixed Alternative ( θ = 0.5)

 

Truth

Est

SD

SE 0

SE 1

SE 2

pow(0.05)

pow(0.01)

B Cell

0.0

0.05

1.42

1.10

1.34

1.34

0.066

0.016

Granulocyte

4.0

4.00

2.01

0.47

2.02

2.01

0.500

0.291

Monocyte

0.0

0.01

1.06

0.51

1.03

1.02

0.072

0.020

NK

0.0

−0.02

1.24

1.22

1.13

1.16

0.064

0.013

T Cell (cd4+)

−2.0

−2.11

1.30

0.95

1.26

1.28

0.391

0.191

T Cell (cd8+)

−1.0

−0.94

1.08

0.96

1.05

1.02

0.163

0.052

Mixed Null ( θ = 1)

 

Truth

Est

SD

SE 0

SE 1

SE 2

pow(0.05)

pow(0.01)

B Cell

0.0

0.06

1.41

1.59

1.36

1.37

0.062

0.016

Granulocyte

0.0

0.04

2.08

0.67

2.06

2.05

0.056

0.008

Monocyte

0.0

−0.02

1.05

0.73

1.03

1.03

0.058

0.020

NK

0.0

0.01

1.26

1.76

1.14

1.22

0.066

0.011

T Cell (cd4+)

0.0

−0.01

1.42

1.38

1.31

1.36

0.067

0.016

T Cell (cd8+)

0.0

0.00

1.19

1.39

1.08

1.10

0.073

0.011

Strong Null ( θ = 0)

 

Truth

Est

SD

SE 0

SE 1

SE 2

pow(0.05)

pow(0.01)

B Cell

0.0

0.06

1.37

0.91

1.36

1.32

0.065

0.017

Granulocyte

0.0

0.03

2.07

0.38

2.06

2.05

0.055

0.009

Monocyte

0.0

−0.02

1.04

0.42

1.03

1.02

0.057

0.021

NK

0.0

0.01

1.19

1.01

1.14

1.16

0.053

0.018

T Cell (cd4+)

0.0

−0.04

1.38

0.79

1.31

1.31

0.069

0.015

T Cell (cd8+)

0.0

0.01

1.11

0.79

1.08

1.03

0.065

0.016

  1. Est = Mean 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.