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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.