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Table 3 Average test error of LDA and its modification methods (10 cycles of 10-fold cross validation)

From: Comparison of linear discriminant analysis methods for the classification of cancer based on gene expression data

Dataset

Gene selection methods

Performance

  

LDA

PAM

SDDA

SLDA

SCRDA

2-class Lung cancer data(n = 181, p = 12533, K = 2)

PAM

0.30

0.26

0.15

0.16

0.42

 

SDDA

0.17

0.11

0.1

0.11

0.1

 

SLDA

0.47

0.3

0.3

0.3

0.32

 

SCRDA

0.73

0.20

0.19

0.17

0.19

Colon data(n = 62, p = 2000, K = 2)

PAM

1.30

0.82

0.8

0.86

0.86

 

SDDA

2.25

2.09

1.33

1.29

1.25

 

SLDA

1.12

0.74

0.75

0.77

0.80

 

SCRDA

1.19

0.77

0.77

0.75

0.78

Prostate data(n = 102, p = 6033, K = 2)

PAM

2.87

0.89

0.82

0.81

1.00

 

SDDA

2.53

0.71

0.72

0.68

0.74

 

SLDA

1.75

0.7

0.64

0.64

0.70

 

SCRDA

2.15

0.57

0.59

0.57

0.61

Multi-class lung cancer data(n = 66, p = 3171, K = 6)

PAM

2.13

1.16

1.21

1.28

1.19

 

SDDA

1.62

1.32

1.32

1.31

1.30

 

SLDA

1.62

1.31

1.32

1.26

1.34

 

SCRDA

1.63

1.43

1.45

1.58

1.35

SRBCT data(n = 83, p = 2308, K = 4)

PAM

0.17

0.01

0.01

0.03

0.01

 

SDDA

2.45

0.03

0.02

0

0.03

 

SLDA

2.87

0

0

0

0

 

SCRDA

2.32

0.03

0.03

0.02

0.03

Brain data(n = 38, p = 5597, K = 4)

PAM

1.14

0.57

0.57

0.58

0.61

 

SDDA

1.09

0.61

0.62

0.63

0.55

 

SLDA

0.89

0.60

0.60

0.57

0.58

 

SCRDA

0.84

0.56

0.54

0.54

0.57