F*, an interpretable transformation of the F measure, equates to the critical success index

Gashirai K. Mbizvo; Andrew J. Larner

doi:10.20944/preprints202309.0556.v1

Preprint Concept Paper Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 5 September 2023 / Approved: 7 September 2023 / Online: 7 September 2023 (14:44:43 CEST)

Recently a measure termed F* was described, as an interpretable transformation of the F measure, also known as the Dice coefficient. Using elementary mathematical methods, it is shown that F* is in fact identical to a previously described measure, monotonically related to the F measure, and variously termed in previous publications, dating from the late 19^th to the late 20^th century, as the ratio of verification, the Jaccard similarity measure or index, the threat score, the Tanimoto index, and the critical success index. The origins of these different terms in different disciplines (weather forecasting, ecology, machine learning) may explain the repeated independent redescription of this measure.

Binary classification; Critical success index; F measure; F*; Jaccard index

Medicine and Pharmacology, Neuroscience and Neurology

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F*, an interpretable transformation of the F measure, equates to the critical success index

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