Skip to main content

Table 2 Median (minimum, maximum) number of selected non-zero coefficients from 1000 simulated data sets

From: Least absolute shrinkage and selection operator type methods for the identification of serum biomarkers of overweight and obesity: simulation and application

 

N = 1000

N = 500

Scenario

1

2

3

4

5

1

2

3

4

5

True number

5

5

5

5

20

5

5

5

5

20

Overweight

 LASSO

7 (0,38)

5.5 (1,41)

19 (4,61)

9 (2,56)

19 (9,56)

4 (0,37)

5 (0,43)

18 (4,50)

8 (2,49)

16 (5,47)

 Adaptive LASSO

16 (1,45)

14 (1,48)

18 (4,49)

19 (2,51)

21 (4,52)

16 (0,46)

12 (1,43)

18 (3,45)

18 (1,45)

19.5 (3,45)

 Elastic Net

12 (0,100)

10 (1,100)

23 (4,62)

13 (2,65)

28 (10,100)

12 (0,100)

12 (0,100)

22 (4,84)

11 (2,62)

27 (7,100)

 Iterated LASSO

7 (0,41)

5 (1,34)

18 (4,46)

9 (2,43)

16 (5,41)

4 (0,32)

4 (0,35)

16 (2,38)

7 (1,39)

13 (3,37)

 Bootstrap-Enhanced LASSO-75

12 (1,28)

10 (1,26)

18 (7,38)

17 (4,40)

20 (10,40)

10 (0,29)

9 (0,28)

16 (5,37)

13 (3,34)

16 (5,35)

 Weighted Fusion

27 (0,99)

27 (1,100)

23 (10,76)

21 (10,74)

34 (18,100)

13 (0,100)

13 (0,100)

11 (5,66)

9 (4,100)

56 (9,100)

Obese

 LASSO

17 (4,51)

7 (2,59)

26 (8,56)

16 (3,58)

37 (20,59)

15 (2,45)

7 (1,40)

22.5 (5,54)

14 (3,50)

28 (14,52)

 Adaptive LASSO

17 (3,50)

17 (1,47)

18 (5,57)

19 (3,47)

35 (14,57)

19 (1,51)

15 (1,48)

19 (4,48)

17 (2,48)

28 (6,48)

 Elastic Net

21 (5,74)

11 (2,75)

29 (6,76)

19 (4,77)

47 (22,100)

20 (2,100)

11 (1,100)

26 (5,74)

19 (3,87)

42 (14,100)

 Iterated LASSO

16 (4,40)

7 (1,44)

20 (5,40)

13 (3,38)

24 (12,40)

14 (1,39)

6 (1,34)

16 (4,36)

11 (2,40)

17 (7,34)

 Bootstrap-Enhanced LASSO-75

17 (5,37)

14 (2,34)

20 (7,39)

16 (5,34)

22 (12,34)

14.5 (5,36)

11 (1,27)

13 (5,24)

10 (3,20)

16 (8,25)

 Weighted Fusion

12 (5,68)

10 (2,99)

43 (5,61)

36 (3,53)

39 (22,99)

38 (1,100)

4 (1,100)

26 (12,87)

22 (4,70)

47 (14,100)