Sensitivity (true positive rate)

Gives the fraction of truly positive cases that a binary test correctly identifies as positive. It is used to evaluate diagnostic tests and classifiers.

\mathrm{TPR} = \frac{\mathrm{TP}}{\mathrm{P}} = \frac{\mathrm{TP}}{\mathrm{TP}+\mathrm{FN}}

What the symbols mean

true positive rate (sensitivity), a dimensionless proportion between 0 and 1
number of true positives, cases that are positive and correctly classified as positive
number of false negatives, positive cases incorrectly classified as negative
total number of actual positive cases, equal to TP + FN

About this formula

  • FieldStatistics
  • TopicDiagnostic testing and classification metrics
  • LevelUniversity
  • Also calledsensitivity formula, true positive rate, recall, hit rate, TPR formula, sensitivity and specificity
  • SourceWikidata Q3808900

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