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Table 3 Simulation study III. Means of AUC and classification error (with their standard errors in parentheses) for π = 0.05 and moderate mean differences. Marginal distributions: Uniform[- 3 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaGcaaqaaiabiodaZaWcbeaaaaa@2DBB@ , 3 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaadaGcaaqaaiabiodaZaWcbeaaaaa@2DBB@ ] and Normal(0, 1). Independent, weakly correlated and strongly correlated genes.

From: Regularized binormal ROC method in disease classification using microarray data

  

Uniform

Normal

(n H , n D )

 

Independent

Weak

Strong

Independent

Weak

Strong

(15, 15)

AUC

0.92(0.08)

0.91(0.08)

0.91(0.09)

0.92(0.09)

0.91(0.09)

0.90(0.10)

 

Error

0.12(0.13)

0.14(0.13)

0.14(0.13)

0.12(0.13)

0.12(0.12)

0.14(0.12)

(20, 10)

AUC

0.92(0.08)

0.91(0.10)

0.91(0.08)

0.92(0.08)

0.91(0.09)

0.89(0.10)

 

Error

0.13(0.12)

0.12(0.13)

0.13(0.13)

0.11(0.13)

0.13(0.13)

0.13(0.12)

(50, 50)

AUC

0.99(0.01)

0.98(0.01)

0.98(0.02)

0.99(0.01)

0.98(0.02)

0.98(0.02)

 

Error

0.04(0.04)

0.05(0.04)

0.06(0.04)

0.04(0.04)

0.05(0.05)

0.07(0.05)

(70, 30)

AUC

0.98(0.01)

0.98(0.02)

0.97(0.02)

0.98(0.02)

0.98(0.02)

0.97(0.03)

 

Error

0.04(0.04)

0.04(0.04)

0.06(0.05)

0.05(0.04)

0.05(0.05)

0.07(0.05)