Which Centralities Fit the Best? Network Centralities' Ranking Based on the F-Measure

The applicability of network centralities may depend on various factors. In practice, it is frequently challenging to understand which centralities are best applicable in a particular network. The current study addresses this challenge. It presents a method of ranking centralities that permits analysts to better understand which centralities are most appropriate for measuring positions in a particular network. The approach is based on the well-known F measure from the domain of statistical analysis of binary classification. Specifically, the classic F-1 estimator of classification accuracy of binary classifiers was adapted for estimating the accuracy of centralities to identify positions in networks.