DiceEval (version 1.6.1)

RMSE: Root Mean Squared Error

Description

The root of the Mean Squared Error between the exact value and the predicted one.

Usage

RMSE(Y, Ypred)

Value

a real which represents the root of the mean squared error between the target response \(Y\)

and the fitted one \(\hat{Y}\): $$\code{RMSE} = \sqrt{\frac{1}{n} \sum_{i=1}^{n} \left( Y \left( x_{i}\right)-\hat{Y} \left( x_{i}\right)\right)^2}.$$

Arguments

Y

a real vector with the values of the output

Ypred

a real vector with the predicted values

Author

D. Dupuy

See Also

other validation criteria as MAE or RMA

Examples

X    <- seq(-1,1,0.1)
Y    <- 3*X + rnorm(length(X),0,0.5)
Ypred <- 3*X
print(RMSE(Y,Ypred))