Indicators

Definition

Root Mean Square Error (RMSE)

$\frac{1}{n}{\displaystyle \sum _{i=1}^n\frac{s_i-o_l}{\left(s_i+o_l\right)/2}}$

Correlation Coefficient (R)

$\frac{{\displaystyle {\sum }_{i=1}^n\left(o_i-{\overline{o}}_l\right)}\left(s_i-{\overline{s}}_l\right)}{\sqrt{{{\displaystyle {\sum }_{i=1}^n\left(o_i-{\overline{o}}_l\right)}}^2\times {\displaystyle {\sum }_{i=1}^n{\left(s_i-{\overline{s}}_l\right)}^2}}}$

Normalized Mean Error (NME)

$\frac{{\displaystyle {\sum }_{i=1}^n\left(s_i-o_l\right)}}{{\displaystyle {\sum }_{i=1}^n{o}_i}}$

Normalized Mean Bias (NMB)

$\frac{{\displaystyle {\sum }_{i=1}^n\left(s_i-o_l\right)}}{{\displaystyle {\sum }_{i=1}^n{o}_i}}$

Mean Fractional Bias (MFB)

$\frac{1}{n}{\displaystyle \sum _{i=1}^n\frac{\left|s_i-o_i\right|}{\left(s_i+o_i\right)/2}}$

Mean Fractional Error (MFE)

$\frac{1}{n}{\displaystyle \sum _{i=1}^n\frac{\left|s_i-o_i\right|}{\left(s_i+o_i\right)/2}}$