Table 2 Equation of performance evaluation metrics
Metrics | Description | Calculation |
|---|---|---|
SMAPE | Symmetric Mean Absolute Percentage Error | \(SMAPE=\frac{1}{n}\sum_{i=1}^{n}\frac{\left|{y}_{i}-{\widehat{y}}_{i}\right|}{\left(\left|{y}_{i}\right|+\left|{\widehat{y}}_{i}\right|\right)/2}\times 100\) |
MAPE | Mean Absolute Percentage Error | \(MAPE=\frac{1}{n}\sum_{i=1}^{n}\left|\frac{{y}_{i}-{\widehat{y}}_{i}}{{y}_{i}}\right|\times 100\) |
RAE | Relative Absolute Error | \(RAE=\sqrt{\frac{{\sum }_{i=1}^{n}{\left({y}_{i}-{\widehat{y}}_{i}\right)}^{2}}{{\sum }_{i=1}^{n}{\left({y}_{i}\right)}^{2}}}\) |
RRSE | Root Relative Squared Error | \(RRSE=\sqrt{\frac{\sum_{i=1}^{n}{\left({y}_{i}-{\widehat{y}}_{i}\right)}^{2}}{\sum_{i=1}^{n}{\left({y}_{i}-{\widehat{y}}_{i}\right)}^{2}}}\) |
RMSE | Root Mean Squared Error | \(RMSE=\sqrt{\frac{1}{n}\sum_{i=1}^{n}{\left({y}_{i}-{\widehat{y}}_{i}\right)}^{2}}\) |