As at In classification with 2 - classes, can a higher accuracy leads to a lower ROC - AUC?, AdamO said that for random forest ROC AUC is not available, because there is no cut-off value for this algorithm, and ROC AUC is only calculable in the case if the algorithm returns a continuous probability value (and only 1 value) for an unseen element.
But in R and Python, it is very often, such as
pROC::auc in R, or
roc_auc_score in sklearn in python, we can calculate ROC AUC after we have predicted results, i.e. ROC AUC is available for all algorithms.
Summary: Why ROC AUC is not available for random forest (in case of classify True/False label)
the idea of AUC is: if you change the cut-off value, the assignment will change. For instance, in regression, a predict value for an object is 0.75 and the cut-off value is 0.8, it will be assign to False (0) and if the cut-off value is 0.6 it will be assigned to True (1).
But for randomForest, the assignment never change.
For instance with the function predict_proba, sklearn will return a list of probability for each class, not only 1 probability
So, let’s say sklearn returns for an unseen element
Whatever cut-off value changes, the assignment will always be True and never change.