Table 6.
Simulation Results (Noisy Mixtures, n1 = 200)
| Strong Alternative I (θ = 0) | ||||||||
|---|---|---|---|---|---|---|---|---|
| |
Truth |
Est |
SD |
SE0 |
SE1 |
SE2 |
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 |
SE0 |
SE1 |
SE2 |
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 |
SE0 |
SE1 |
SE2 |
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 |
SE0 |
SE1 |
SE2 |
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 |
SE0 |
SE1 |
SE2 |
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 |
Est = Mean regression coefficient estimate (× 100%); SD = SD regression coefficient estimate (× 100%).
SE0 = Naive standard error (× 100%); SE1 = Single-bootstrap standard error (× 100%).
SE2 = Double-bootstrap standard error (× 100%).
pow(α) = Pr{P2 < α}, where P2 is the p-value computed from SE2.