A relationship between the incremental values of area under the ROC curve and of area under the precision-recall curve

Table 1 Pearson correlation and concordance measure of each pair of the IncV metrics for different event rates π

Comparison	π=0.01	π=0.05	π=0.1	π=0.2	π=0.5
Pearson correlation
ΔsBrSvs ΔAP	0.995	0.992	0.986	0.971	0.837
ΔsBrS vs ΔAUC	− 0.111	0.262	0.479	0.718	0.932
ΔAUC vs ΔAP	− 0.086	0.296	0.505	0.708	0.888
Concordance
ΔsBrS vs ΔAP	0.931	0.922	0.897	0.856	0.922
ΔsBrS vs ΔAUC	0.659	0.750	0.828	0.928	1.000
ΔAUC vs ΔAP	0.591	0.672	0.725	0.784	0.922

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