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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