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Table 3 Simulation results using structured sparse mCIA are shown. Sensitivity (Sens), Specificity (Spec), and Matthews correlation coefficient (MCC) for feature selection performance and Angle for estimation performance are calculated. 5-fold cross validation is used to choose the best tuning parameter combination in each method. Values within parenthesis are standard errors

From: Sparse multiple co-Inertia analysis with application to integrative analysis of multi -Omics data

structured sparse multiple CIA

mCIA

 

a1

a2

a3

a1

a2

a3

scenario

Sens

Spec

MCC

Angle

Sens

Spec

MCC

Angle

Sens

Spec

MCC

Angle

Angle

Angle

Angle

1

0.71

0.994

0.786

0.897

0.767

0.993

0.827

0.913

0.79

0.992

0.837

0.915

0.882

0.847

0.830

 

(0.284)

(0.011)

(0.166)

(0.088)

(0.204)

(0.009)

(0.106)

(0.056)

(0.154)

(0.008)

(0.073)

(0.041)

(0.025)

(0.028)

(0.025)

2

0.79

0.979

0.814

0.918

0.787

0.97

0.789

0.901

0.774

0.962

0.761

0.885

0.879

0.847

0.833

 

(0.127)

(0.021)

(0.058)

(0.030)

(0.089)

(0.018)

(0.046)

(0.024)

(0.068)

(0.016)

(0.041)

(0.022)

(0.024)

(0.027)

(0.023)

3

0.748

0.995

0.816

0.915

0.807

0.996

0.863

0.934

0.838

0.996

0.884

0.941

0.933

0.915

0.897

 

(0.300)

(0.010)

(0.186)

(0.092)

(0.221)

(0.008)

(0.126)

(0.064)

(0.171)

(0.006)

(0.091)

(0.047)

(0.011)

(0.011)

(0.015)

4

0.854

0.987

0.875

0.947

0.867

0.984

0.877

0.945

0.862

0.979

0.861

0.937

0.933

0.915

0.897

 

(0.142)

(0.016)

(0.072)

(0.034)

(0.097)

(0.014)

(0.042)

(0.021)

(0.074)

(0.013)

(0.038)

(0.018)

(0.011)

(0.011)

(0.015)

5

0.798

0.986

0.833

0.919

0.791

0.989

0.831

0.913

0.793

0.992

0.838

0.915

0.882

0.847

0.83

 

(0.162)

(0.016)

(0.075)

(0.042)

(0.162)

(0.012)

(0.076)

(0.043)

(0.160)

(0.009)

(0.073)

(0.042)

(0.024)

(0.028)

(0.025)

6

0.83

0.939

0.781

0.911

0.803

0.951

0.768

0.893

0.785

0.959

0.76

0.884

0.883

0.85

0.825

 

(0.069)

(0.029)

(0.042)

(0.020)

(0.069)

(0.020)

(0.043)

(0.021)

(0.065)

(0.017)

(0.043)

(0.024)

(0.023)

(0.025)

(0.03)

7

0.852

0.993

0.887

0.947

0.848

0.994

0.886

0.944

0.849

0.996

0.89

0.945

0.933

0.912

0.9

 

(0.158)

(0.011)

(0.087)

(0.044)

(0.157)

(0.008)

(0.083)

(0.043)

(0.156)

(0.006)

(0.081)

(0.043)

(0.011)

(0.014)

(0.013)

8

0.873

0.968

0.859

0.945

0.861

0.975

0.857

0.938

0.86

0.981

0.864

0.937

0.933

0.913

0.899

 

(0.076)

(0.025)

(0.039)

(0.018)

(0.077)

(0.017)

(0.039)

(0.018)

(0.072)

(0.014)

(0.035)

(0.016)

(0.011)

(0.014)

(0.013)