P

N

TP

FP

PPV:\(\frac{TP}{TP+FP}\) FDR:\(\frac{FP}{FP+TP}\)

FN

TN

NPV:\(\frac{TN}{TN+FN}\) FOR:\(\frac{FN}{FN+TN}\)

P Condition:

N Condition:

TPR:\(\frac{TP}{P}\) FNR:\(\frac{FN}{P}\)

TNR:\(\frac{TN}{N}\) FPR:\(\frac{FP}{N}\)


Prevalence\( \frac{P}{P+N} \)

Prevalence Threshold:\( \frac{\sqrt{FPR}}{\sqrt{TPR} + \sqrt{FPR}} \)


Informedness:\( TPR+TNR-1 \)

Markedness:\( PPV+NPV-1 \)


Positive Likelihood Ratio:\( \frac{TPR}{FPR} \)

Negative Likelihood Ratio:\( \frac{FMR}{TNR} \)

Diagnostic Odds Ratio:\( \frac{LR_+}{LR_-} \)


Accuracy:\( \frac{TP+TN}{P+N} \)

Balanced Accuracy:\( \frac{TPR+TNR}{2} \)

F1 Score:\( \frac{2*PPV * TPR}{PPV + TPR} \)

Fowlkes–Mallows index:\( \sqrt{PPV * TPR} \)

Threat Score:\( \frac{TP}{TP+FP+FN} \)

Matthews correlation coefficent:\( \frac{TPR * TN - FP * FN}{\sqrt{(TP+FP)(TP+FN)(TN+FP)(TN+FN)}} \)