Table 2 Average numbers of variables found in the simulation study for the two-layer structure
From: A biplot correlation range for group-wise metabolite selection in mass spectrometry
δi | Level | Number of variables found for the two-layer structure | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Layer 1 | Layer 2 | Noise Layer | |||||||||||
BCS | FDR1 | FDR2 | STOC | BCS | FDR1 | FDR2 | STOC | BCS | FDR1 | FDR2 | STOC | ||
0 | 0.01 | 16.9 | 23.2 | 21.0 | 10.0 | 0.2 | 0.0 | 0.0 | 0.0 | 2.9 | 0.2 | 0.0 | 0.0 |
0.03 | 24.8 | 23.9 | 21.8 | 24.1 | 2.4 | 0.0 | 0.0 | 0.3 | 32.0 | 0.7 | 0.0 | 5.6 | |
0.05 | 25.0 | 24.0 | 22.1 | 24.7 | 5.3 | 0.0 | 0.0 | 1.8 | 61.7 | 1.1 | 0.0 | 22.9 | |
0.07 | 25.1 | 24.1 | 22.3 | 24.8 | 5.8 | 0.1 | 0.0 | 2.3 | 77.8 | 1.8 | 0.0 | 35.2 | |
0.10 | 25.2 | 24.2 | 22.4 | 25.0 | 7.1 | 0.2 | 0.0 | 2.8 | 87.2 | 2.4 | 0.1 | 44.0 | |
0.15 | 25.1 | 24.3 | 22.6 | 25.1 | 6.9 | 0.1 | 0.0 | 3.0 | 86.2 | 3.8 | 0.1 | 44.3 | |
0.20 | 25.3 | 24.6 | 22.8 | 25.2 | 7.0 | 0.3 | 0.0 | 2.9 | 85.8 | 6.2 | 0.1 | 44.2 | |
0.03 | 0.01 | 17.6 | 23.4 | 21.3 | 10.0 | 0.7 | 0.0 | 0.0 | 0.0 | 1.6 | 0.0 | 0.0 | 0.0 |
0.03 | 24.9 | 23.9 | 21.9 | 24.6 | 4.1 | 0.0 | 0.0 | 1.8 | 28.0 | 0.0 | 0.0 | 3.0 | |
0.05 | 25.1 | 24.1 | 22.2 | 24.9 | 6.2 | 0.0 | 0.0 | 2.9 | 49.6 | 0.0 | 0.0 | 12.0 | |
0.07 | 25.3 | 24.3 | 22.4 | 25.1 | 6.7 | 0.1 | 0.0 | 2.8 | 59.0 | 0.0 | 0.0 | 16.0 | |
0.10 | 25.3 | 24.2 | 22.5 | 25.0 | 7.1 | 0.1 | 0.0 | 3.2 | 62.2 | 0.0 | 0.0 | 17.7 | |
0.15 | 25.4 | 24.5 | 22.8 | 25.2 | 7.1 | 0.1 | 0.0 | 3.0 | 61.6 | 0.0 | 0.0 | 18.0 | |
0.20 | 25.4 | 24.5 | 22.9 | 25.1 | 6.7 | 0.2 | 0.0 | 2.7 | 62.5 | 0.0 | 0.0 | 18.6 | |
0.05 | 0.01 | 17.5 | 23.1 | 21.1 | 10.0 | 1.1 | 0.0 | 0.0 | 0.0 | 1.2 | 0.0 | 0.0 | 0.0 |
0.03 | 25.1 | 23.9 | 21.9 | 24.8 | 5.3 | 0.1 | 0.0 | 2.2 | 22.2 | 0.0 | 0.0 | 0.0 | |
0.05 | 25.1 | 24.1 | 22.3 | 24.9 | 6.6 | 0.1 | 0.0 | 3.0 | 36.9 | 0.0 | 0.0 | 0.0 | |
0.07 | 25.2 | 24.1 | 22.2 | 25.0 | 7.1 | 0.1 | 0.0 | 3.1 | 42.9 | 0.0 | 0.0 | 0.0 | |
0.10 | 25.2 | 24.3 | 22.5 | 25.1 | 7.2 | 0.0 | 0.0 | 2.9 | 44.8 | 0.0 | 0.0 | 0.0 | |
0.15 | 25.2 | 24.3 | 22.6 | 25.1 | 7.2 | 0.1 | 0.0 | 2.9 | 46.3 | 0.0 | 0.0 | 0.0 | |
0.20 | 25.2 | 24.4 | 22.9 | 25.1 | 6.8 | 0.2 | 0.0 | 2.9 | 44.6 | 0.0 | 0.0 | 0.0 | |
0.1 | 0.01 | 17.8 | 23.3 | 21.1 | 10.0 | 1.5 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
0.03 | 25.2 | 23.8 | 22.1 | 24.8 | 6.5 | 0.0 | 0.0 | 2.7 | 0.0 | 0.0 | 0.0 | 0.0 | |
0.05 | 25.2 | 23.9 | 22.0 | 25.1 | 7.0 | 0.0 | 0.0 | 3.1 | 0.0 | 0.0 | 0.0 | 0.0 | |
0.07 | 25.2 | 24.1 | 22.2 | 25.0 | 7.0 | 0.1 | 0.0 | 2.8 | 0.0 | 0.0 | 0.0 | 0.0 | |
0.10 | 25.2 | 24.2 | 22.7 | 25.1 | 6.6 | 0.1 | 0.0 | 2.8 | 0.0 | 0.0 | 0.0 | 0.0 | |
0.15 | 21.0 | 13.0 | 8.60 | 20.1 | 6.75 | .087 | .005 | 3.22 | 14.1 | .043 | .000 | 5.41 | |
0.20 | 21.0 | 13.5 | 8.72 | 20.0 | 6.52 | .115 | .003 | 2.98 | 14.4 | .068 | .000 | 5.27 | |