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Table 1 Average numbers of variables found in the simulation study for the three-layer structure

From: A biplot correlation range for group-wise metabolite selection in mass spectrometry

δi Level Number of variables found for the three-layer structure
Layer 1 Layer 2 Layer 3 Noise Layer
BCS FDR1 FDR2 STOC BCS FDR1 FDR2 STOC BCS FDR1 FDR2 STOC BCS FDR1 FDR2 STOC
0 0.01 16.4 23.4 21.1 10.0 0.2 0.0 0.0 0.0 0.2 0.0 0.0 0.0 1.8 0.1 0.0 0.0
0.03 24.2 23.9 22.0 24.1 2.8 0.0 0.0 0.5 5.1 0.0 0.0 0.6 18.2 0.6 0.0 4.8
0.05 24.5 23.8 22.0 24.2 5.0 0.1 0.0 1.8 10.7 0.0 0.0 3.1 31.1 0.8 0.0 16.4
0.07 24.8 24.1 22.2 24.5 5.6 0.1 0.0 2.3 12.7 0.0 0.0 4.1 39.8 1.1 0.0 23.4
0.10 25.0 24.3 22.2 24.6 7.2 0.2 0.0 3.3 14.4 0.1 0.0 5.0 46.8 1.7 0.0 28.3
0.15 25.2 24.6 22.7 24.6 7.0 0.2 0.0 3.0 14.8 0.1 0.0 5.3 47.5 2.7 0.1 30.1
0.20 25.0 24.5 22.7 24.5 6.6 0.2 0.0 3.0 13.9 0.2 0.0 4.6 47.7 4.3 0.1 29.9
0.03 0.01 10.0 23.5 21.1 16.9 0.4 0.0 0.0 0.0 0.9 0.0 0.0 0.0 0.4 0.0 0.0 0.0
0.03 24.6 24.0 21.8 24.5 3.5 0.0 0.0 1.4 7.3 0.0 0.0 1.9 10.5 0.0 0.0 1.0
0.05 24.8 23.9 22.2 24.4 5.5 0.1 0.0 2.5 11.6 0.0 0.0 3.8 21.4 0.0 0.0 6.1
0.07 24.8 24.1 22.4 24.6 6.0 0.0 0.0 2.6 12.4 0.0 0.0 4.2 30.0 0.0 0.0 10.1
0.10 25.1 24.4 22.6 24.7 7.0 0.1 0.0 3.0 14.0 0.1 0.0 4.5 31.3 0.0 0.0 11.5
0.15 25.1 24.5 22.7 24.7 6.6 0.1 0.0 2.8 14.5 0.1 0.0 4.7 34.5 0.0 0.0 12.7
0.20 25.1 24.4 22.8 24.7 7.1 0.1 0.0 3.3 14.2 0.1 0.0 4.8 32.9 0.0 0.0 11.8
0.05 0.01 10.0 23.3 21.0 16.6 0.4 0.0 0.0 0.0 0.8 0.0 0.0 0.0 0.2 0.0 0.0 0.0
0.03 24.5 23.8 21.8 24.3 4.3 0.0 0.0 1.5 8.2 0.0 0.0 2.2 6.0 0.0 0.0 0.0
0.05 24.9 24.2 22.2 24.6 6.2 0.0 0.0 2.7 12.2 0.0 0.0 4.3 13.8 0.0 0.0 0.0
0.07 25.0 24.2 22.4 24.5 6.4 0.0 0.0 2.9 13.5 0.0 0.0 4.6 19.6 0.0 0.0 0.0
0.10 25.0 24.2 22.4 24.3 6.7 0.1 0.0 2.9 13.7 0.0 0.0 4.9 22.6 0.0 0.0 0.0
0.15 25.1 24.5 22.7 24.8 7.1 0.2 0.0 3.4 14.6 0.1 0.0 4.9 24.2 0.0 0.0 0.0
0.20 25.2 24.5 22.8 24.7 6.6 0.2 0.0 3.0 13.9 0.1 0.0 4.6 23.6 0.0 0.0 0.0
0.1 0.01 16.8 23.4 21.2 10.0 0.5 0.0 0.0 0.0 1.1 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.03 24.5 23.9 21.8 24.4 4.8 0.0 0.0 1.7 9.3 0.0 0.0 2.1 0.0 0.0 0.0 0.0
0.05 24.8 24.0 22.0 24.4 6.3 0.1 0.0 2.8 13.1 0.0 0.0 4.4 0.0 0.0 0.0 0.0
0.07 25.0 24.1 22.4 24.5 6.2 0.1 0.0 3.0 13.0 0.0 0.0 4.5 0.0 0.0 0.0 0.0
0.10 25.0 24.3 22.3 24.4 6.7 0.1 0.0 3.0 14.7 0.0 0.0 5.0 0.0 0.0 0.0 0.0
0.15 25.1 24.3 22.6 24.6 6.8 0.2 0.0 3.2 13.5 0.1 0.0 4.3 0.0 0.0 0.0 0.0
0.20 25.1 24.5 22.9 24.7 6.5 0.1 0.0 2.8 15.1 0.1 0.0 5.0 0.0 0.0 0.0 0.0