Then two classifiers are evaluated on the same dataset, McNemar's test could be used to compare their overall classification accuracy, telling if the difference between them are significant. But what if we like to compare them separately on type I and type II errors, quantifying the difference on both precision and recall? It seems like McNemar's test could not be used at least for precision because of the randomness of the denominator.
What are the suitable statistical tests for this case?