About Classifiers Quality Assessment: Balanced Accuracy Curve (BAC) as an Alternative for ROC and PR Curve

In this work, we propose a new parameter to study the effectiveness of classifiers - the AUC (area under curve) of the balanced accuracy curve (BAC) on data with different balance degrees - we compare its effectiveness with the popular AUC parameters for the ROC and PR curve. We use a global kNN classifier with typical metrics to verify the utility of the new parameter. BAC, ROC and PR curves generate similar results, the advantage of BAC is its simplicity of implementation and ease of interpretation of results.