Table III Accuracy scores Description... | Emerald Publishing

Table III

Accuracy scores

	Description		Min value	Max value	Desirable outcome	n° of papers
MAPE	Mean Absolute Percentage Error	$\frac{1}{N} \sum_{i = 1}^{N} \frac{\| y_{i} - {\hat{y}}_{i} \|}{y_{i}} \cdot 100 %$	0	100%	minute	21
RMSE	Root Mean Squared Error	$\sqrt{\frac{1}{N} \sum_{i = 1}^{N} {(y_{i} - {\hat{y}}_{i})}^{2}}$	0	$\infty$	minute	20
MAE	Mean Absolute Error	$\frac{1}{N} \sum_{i = 1}^{N} \| y_{i} - {\hat{y}}_{i} \|$	0	$\infty$	minute	18
R²	Coefficient of determination	$\frac{\sum_{i = 1}^{N} {({\hat{y}}_{i} - a v g (y))}^{2}}{\sum_{i = 1}^{N} {(y_{i} - a v g (y))}^{2}}$	0	100%	Closer to 100%	17
MSE	Mean Squared error	$\frac{1}{N} \sum_{i = 1}^{N} {(y_{i} - {\hat{y}}_{i})}^{2}$	0	$\infty$	minute	10
RSS	Residual Sum of Squares	$\sum_{i = 1}^{N} {(y_{i} - {\hat{y}}_{i})}^{2}$	0	$\infty$	minute	5
RAE	Relative Absolute Error	$\frac{\sum_{i = 1}^{N} \| y_{i} - {\hat{y}}_{i} \|}{\sum_{i = 1}^{N} \| y_{i} - a v g (y) \|}$	0	$\infty$	minute	3
r	Linear correlation coefficient	$\frac{\sum_{i = 1}^{N} (y_{i} - a v g (y)) ({\hat{y}}_{i} - a v g (\hat{y}))}{\sqrt{\sum_{i = 1}^{N} {(y_{i} - a v g (y))}^{2}} \sqrt{\sum_{i = 1}^{N} {({\hat{y}}_{i} - a v g (\hat{y}))}^{2}}}$	−1	1	Closer to 1	3
COD	Coefficient of Dispersion	$\frac{100}{a v g (y)} \cdot \frac{\sum_{i = 1}^{N} \| {\hat{y}}_{i} - a v g (y) \|}{N}$	0	100%	minute	3
RSE	Relative Squared Error	$\frac{\sum_{i = 1}^{N} {(y_{i} - {\hat{y}}_{i})}^{2}}{\sum_{i = 1}^{N} {(y_{i} - a v g (y))}^{2}}$	0	$\infty$	minute	2
RRSE	Root Relative Squared Error	$\sqrt{\frac{\sum_{i = 1}^{N} {(y_{i} - {\hat{y}}_{i})}^{2}}{\sum_{i = 1}^{N} {(y_{i} - a v g (y))}^{2}}}$	0	$\infty$	minute	2
NDEI	Nondimensional Error Index	$\frac{\sqrt{\frac{1}{N} \sum_{i = 1}^{N} {(y_{i} - {\hat{y}}_{i})}^{2}}}{s t d (y)}$	0	$\infty$	minute	2

	Description		Min value	Max value	Desirable outcome	n° of papers
MAPE	Mean Absolute Percentage Error	$\frac{1}{N} \sum_{i = 1}^{N} \frac{\| y_{i} - {\hat{y}}_{i} \|}{y_{i}} \cdot 100 %$	0	100%	minute	21
RMSE	Root Mean Squared Error	$\sqrt{\frac{1}{N} \sum_{i = 1}^{N} {(y_{i} - {\hat{y}}_{i})}^{2}}$	0	$\infty$	minute	20
MAE	Mean Absolute Error	$\frac{1}{N} \sum_{i = 1}^{N} \| y_{i} - {\hat{y}}_{i} \|$	0	$\infty$	minute	18
R²	Coefficient of determination	$\frac{\sum_{i = 1}^{N} {({\hat{y}}_{i} - a v g (y))}^{2}}{\sum_{i = 1}^{N} {(y_{i} - a v g (y))}^{2}}$	0	100%	Closer to 100%	17
MSE	Mean Squared error	$\frac{1}{N} \sum_{i = 1}^{N} {(y_{i} - {\hat{y}}_{i})}^{2}$	0	$\infty$	minute	10
RSS	Residual Sum of Squares	$\sum_{i = 1}^{N} {(y_{i} - {\hat{y}}_{i})}^{2}$	0	$\infty$	minute	5
RAE	Relative Absolute Error	$\frac{\sum_{i = 1}^{N} \| y_{i} - {\hat{y}}_{i} \|}{\sum_{i = 1}^{N} \| y_{i} - a v g (y) \|}$	0	$\infty$	minute	3
r	Linear correlation coefficient	$\frac{\sum_{i = 1}^{N} (y_{i} - a v g (y)) ({\hat{y}}_{i} - a v g (\hat{y}))}{\sqrt{\sum_{i = 1}^{N} {(y_{i} - a v g (y))}^{2}} \sqrt{\sum_{i = 1}^{N} {({\hat{y}}_{i} - a v g (\hat{y}))}^{2}}}$	−1	1	Closer to 1	3
COD	Coefficient of Dispersion	$\frac{100}{a v g (y)} \cdot \frac{\sum_{i = 1}^{N} \| {\hat{y}}_{i} - a v g (y) \|}{N}$	0	100%	minute	3
RSE	Relative Squared Error	$\frac{\sum_{i = 1}^{N} {(y_{i} - {\hat{y}}_{i})}^{2}}{\sum_{i = 1}^{N} {(y_{i} - a v g (y))}^{2}}$	0	$\infty$	minute	2
RRSE	Root Relative Squared Error	$\sqrt{\frac{\sum_{i = 1}^{N} {(y_{i} - {\hat{y}}_{i})}^{2}}{\sum_{i = 1}^{N} {(y_{i} - a v g (y))}^{2}}}$	0	$\infty$	minute	2
NDEI	Nondimensional Error Index	$\frac{\sqrt{\frac{1}{N} \sum_{i = 1}^{N} {(y_{i} - {\hat{y}}_{i})}^{2}}}{s t d (y)}$	0	$\infty$	minute	2