User:Lasachiras/sandbox

This is the user sandbox of Lasachiras. A user sandbox is a subpage of the user's user page. It serves as a testing spot and page development space for the user and is not an encyclopedia article. Create or edit your own sandbox here.

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Terminology and derivations
from a confusion matrix
true positive (TP) eqv. with hit true negative (TN) eqv. with correct rejection false positive (FP) eqv. with false alarm, Type I error false negative (FN) eqv. with miss, Type II error sensitivity or true positive rate (TPR) eqv. with hit rate, recall ${\mathit {TPR}}={\mathit {TP}}/P={\mathit {TP}}/({\mathit {TP}}+{\mathit {FN}})$ specificity (SPC) or True Negative Rate ${\mathit {SPC}}={\mathit {TN}}/N={\mathit {TN}}/({\mathit {FP}}+{\mathit {TN}})$ precision or positive predictive value (PPV) ${\mathit {PPV}}={\mathit {TP}}/({\mathit {TP}}+{\mathit {FP}})$ negative predictive value (NPV) ${\mathit {NPV}}={\mathit {TN}}/({\mathit {TN}}+{\mathit {FN}})$ fall-out or false positive rate (FPR) ${\mathit {FPR}}={\mathit {FP}}/N={\mathit {FP}}/({\mathit {FP}}+{\mathit {TN}})$ false discovery rate (FDR) ${\mathit {FDR}}={\mathit {FP}}/({\mathit {FP}}+{\mathit {TP}})=1-{\mathit {PPV}}$ Miss Rate or False Negative Rate (FNR) ${\mathit {FNR}}={\mathit {FN}}/P={\mathit {FN}}/({\mathit {FN}}+{\mathit {TP}})$ accuracy (ACC) ${\mathit {ACC}}=({\mathit {TP}}+{\mathit {TN}})/(P+N)$ F1 score is the harmonic mean of precision and sensitivity ${\mathit {F1}}=2{\mathit {TP}}/(2{\mathit {TP}}+{\mathit {FP}}+{\mathit {FN}})$ Matthews correlation coefficient (MCC) ${\frac {TP\times TN-FP\times FN}{\sqrt {(TP+FP)(TP+FN)(TN+FP)(TN+FN)}}}$ Informedness = Sensitivity + Specificity - 1 Markedness = Precision + NPV - 1