Concept

# F-score

Résumé
In statistical analysis of binary classification, the F-score or F-measure is a measure of a test's accuracy. It is calculated from the precision and recall of the test, where the precision is the number of true positive results divided by the number of all positive results, including those not identified correctly, and the recall is the number of true positive results divided by the number of all samples that should have been identified as positive. Precision is also known as positive predictive value, and recall is also known as sensitivity in diagnostic binary classification. The F1 score is the harmonic mean of the precision and recall. It thus symmetrically represents both precision and recall in one metric. The more generic score applies additional weights, valuing one of precision or recall more than the other. The highest possible value of an F-score is 1.0, indicating perfect precision and recall, and the lowest possible value is 0, if either precision or recall are zero. The name F-measure is believed to be named after a different F function in Van Rijsbergen's book, when introduced to the Fourth Message Understanding Conference (MUC-4, 1992). The traditional F-measure or balanced F-score (F1 score) is the harmonic mean of precision and recall: A more general F score, , that uses a positive real factor , where is chosen such that recall is considered times as important as precision, is: In terms of Type I and type II errors this becomes: Two commonly used values for are 2, which weighs recall higher than precision, and 0.5, which weighs recall lower than precision. The F-measure was derived so that "measures the effectiveness of retrieval with respect to a user who attaches times as much importance to recall as precision". It is based on Van Rijsbergen's effectiveness measure Their relationship is where . This is related to the field of binary classification where recall is often termed "sensitivity". Precision-recall curve, and thus the score, explicitly depends on the ratio of positive to negative test cases.
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F-score
In statistical analysis of binary classification, the F-score or F-measure is a measure of a test's accuracy. It is calculated from the precision and recall of the test, where the precision is the number of true positive results divided by the number of all positive results, including those not identified correctly, and the recall is the number of true positive results divided by the number of all samples that should have been identified as positive.
Sensibilité et spécificité
En statistique, la sensibilité (ou sélectivité) d'un test mesure sa capacité à donner un résultat positif lorsqu'une hypothèse est vérifiée. Elle s'oppose à la spécificité, qui mesure la capacité d'un test à donner un résultat négatif lorsque l'hypothèse n'est pas vérifiée. Ces notions sont d'une importance majeure en épidémiologie et en , notamment au travers des courbes ROC. Cet article présente ces notions dans le cadre de l'application en épidémiologie.
Précision et rappel
vignette|350px|Précision et rappel (« recall »). La précision compte la proportion d'items pertinents parmi les items sélectionnés alors que le rappel compte la proportion d'items pertinents sélectionnés parmi tous les items pertinents sélectionnables. Dans les domaines de la reconnaissance de formes, de la recherche d'information et de la classification automatique, la précision (ou valeur prédictive positive) est la proportion des items pertinents parmi l'ensemble des items proposés ; le rappel (ou sensibilité) est la proportion des items pertinents proposés parmi l'ensemble des items pertinents.