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Table 5 Median (minimum, maximum) estimated AUC 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

Overweight

 LASSO

0.57 (0.47,0.63)

0.61 (0.54,0.67)

0.77 (0.73,0.82)

0.79 (0.73,0.83)

0.77 (0.72,0.82)

0.54 (0.43,0.65)

0.60 (0.48,0.68)

0.77 (0.69,0.83)

0.78 (0.71,0.85)

0.77 (0.68,0.83)

 Adaptive LASSO

0.55 (0.47,0.62)

0.58 (0.50,0.66)

0.72 (0.60,0.81)

0.73 (0.57,0.82)

0.76 (0.70,0.82)

0.54 (0.43,0.65)

0.57 (0.47,0.66)

0.72 (0.57,0.82)

0.73 (0.55,0.84)

0.75 (0.66,0.82)

Elastic Net

0.56 (0.47,0.63)

0.60 (0.54,0.67)

0.77 (0.73,0.82)

0.79 (0.73,0.83)

0.77 (0.73,0.82)

0.55 (0.43,0.65)

0.59 (0.49,0.68)

0.76 (0.69,0.83)

0.78 (0.71,0.85)

0.77 (0.68,0.83)

 Iterated LASSO

0.52 (0.45,0.63)

0.54 (0.45,0.67)

0.54 (0.46,0.79)

0.57 (0.47,0.83)

0.70 (0.51,0.81)

0.52 (0.40,0.66)

0.54 (0.43,0.67)

0.55 (0.44,0.77)

0.58 (0.45,0.85)

0.70 (0.49,0.82)

 Bootstrap-Enhanced LASSO-75

0.55 (0.48,0.62)

0.58 (0.48,0.65)

0.76 (0.71,0.82)

0.77 (0.71,0.82)

0.84 (0.79,0.88)

0.53 (0.42,0.65)

0.56 (0.44,0.66)

0.74 (0.64,0.82)

0.75 (0.65,0.83)

0.82 (0.73,0.88)

 Weighted Fusion

0.56 (0.48,0.62)

0.60 (0.54,0.67)

0.77 (0.72,0.82)

0.78 (0.74,0.83)

0.78 (0.73,0.82)

0.55 (0.44,0.65)

0.59 (0.47,0.68)

0.77 (0.67,0.84)

0.78 (0.71,0.85)

0.77 (0.68,0.84)

Obese

 LASSO

0.78 (0.71,0.86)

0.80 (0.71,0.86)

0.94 (0.90,0.96)

0.96 (0.94,0.98)

0.99 (0.98,1.00)

0.76 (0.63,0.86)

0.79 (0.67,0.87)

0.93 (0.85,0.97)

0.96 (0.90,0.99)

0.98 (0.94,0.99)

 Adaptive LASSO

0.73 (0.59,0.84)

0.74 (0.58,0.86)

0.88 (0.68,0.96)

0.92 (0.72,0.98)

0.98 (0.92,0.99)

0.72 (0.55,0.84)

0.73 (0.49,0.87)

0.89 (0.66,0.97)

0.93 (0.57,0.98)

0.96 (0.89,0.99)

 Elastic Net

0.78 (0.71,0.86)

0.80 (0.71,0.86)

0.94 (0.90, 0.96)

0.96 (0.93,0.98)

0.99 (0.97,1.00)

0.76 (0.60,0.86)

0.79 (0.67,0.87)

0.93 (0.85,0.97)

0.96 (0.89,0.99)

0.98 (0.94,0.99)

 Iterated LASSO

0.55 (0.45,0.79)

0.58 (0.43,0.85)

0.63 (0.46,0.96)

0.65 (0.33,0.98)

0.98 (0.76,1.00)

0.57 (0.42,0.80)

0.59 (0.42,0.87)

0.68 (0.44,0.95)

0.71 (0.34,0.98)

0.96 (0.64,0.99)

 Bootstrap-Enhanced LASSO-75

0.76 (0.68, 0.82)

0.77 (0.68,0.85)

0.93 (0.88,0.97)

0.95 (0.91,0.98)

0.99 (0.82,1.00)

0.73 (0.57,0.85)

0.75 (0.62,0.85)

0.92 (0.83,0.97)

0.95 (0.88,0.98)

0.97 (0.79,0.99)

 Weighted Fusion

0.78 (0.70,0.86)

0.80 (0.70,0.86)

0.94 (0.90, 0.96)

0.96 (0.64,0.98)

0.99 (0.97,1.00)

0.74 (0.60,0.86)

0.79 (0.66,0.87)

0.93 (0.86,0.97)

0.96 (0.88,0.98)

0.98 (0.96,1.00)