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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.