Table 3. Summary of the obtained results: Examples and agreement/disagreement between the behaviour of MCC and Kappa in terms of the asymmetry of the confusion matrix and of the entropy associated to the elements outside the main diagonal.
Disagreement scenario corresponds to entropy decreasing to zero, which implies by Lemma 9 that asymmetry must grow to infinity.
| Asymmetry ↗ +∞ | Asymmetry = constant | |
|---|---|---|
| Entropy = constant | Agreement C0, M1(A) | |
| Entropy ↘ 0 | Disagreement C1, ZA, M2(A), M4(A) | |
| Entropy ↘ > 0 | Agreement M5(A) | Agreement M3(A) |