Table 4. Spearman’s rank correlation coefficient of the rankings in Table 3.
Accuracy Measure | MAE | RMSE | MASE | AvgRelMAE | MRAE | GMRAE | MAPE | sMAPE | UMBRAE |
MAE | − | 0.951 | 0.805 | 0.828 | 0.256 | 0.820 | 0.940 | 0.970 | 0.839 |
RMSE | 0.951 | − | 0.707 | 0.710 | 0.345 | 0.708 | 0.929 | 0.909 | 0.720 |
MASE | 0.805 | 0.707 | − | 0.952 | 0.239 | 0.912 | 0.631 | 0.751 | 0.948 |
AvgRelMAE | 0.828 | 0.710 | 0.952 | − | 0.135 | 0.980 | 0.688 | 0.771 | 0.996 |
MRAE | 0.256 | 0.345 | 0.239 | 0.135 | − | 0.077 | 0.143 | 0.156 | 0.133 |
GMRAE | 0.820 | 0.708 | 0.912 | 0.980 | 0.077 | − | 0.684 | 0.753 | 0.985 |
MAPE | 0.940 | 0.929 | 0.631 | 0.688 | 0.143 | 0.684 | − | 0.950 | 0.697 |
sMAPE | 0.970 | 0.909 | 0.751 | 0.771 | 0.156 | 0.753 | 0.950 | − | 0.781 |
UMBRAE | 0.839 | 0.720 | 0.948 | 0.996 | 0.133 | 0.985 | 0.697 | 0.781 | − |
Average | 0.801 | 0.747 | 0.743 | 0.758 | 0.186 | 0.740 | 0.708 | 0.755 | 0.762 |