references_formulas.md

In giuliogiagnoni/modRMSE: Model evaluation parameters

References and formulas

$$ Residuals = Observation_i - Prediction_i $$

Mean Square Error (Bibby and Toutenburg, 1977)

$$ MSE = \frac{\sum_{n=1}{n}(Y_i-\mathbf{Y_i})^2 }{n} $$

Root Mean Square Error

$$ RMSE = \sqrt{MSE} $$

Mean Absolute Error (Chai and Draxler, 2014)

$$ MAE = \frac{\sum_{n=1}{n}|Y_i-\mathbf{Y_i}|}{n} $$

Mean Bias and Mean Bias as percentage of MSE

$$ MB = MB% = MB/MSE*100 $$

Slope bias and Slope Bias as percentage of MSE

$$ SP = SP% = SP/MSE*100 $$

Dispersion bias and Dispersion Bias as percentage of MSE

$$ DB = DB% = DB/MSE*100$$

giuliogiagnoni/modRMSE documentation built on Oct. 3, 2023, 3:29 p.m.