Rmse

Purpose

Calculate Root Mean Square Difference (Error).

Synopsis

err = rmse(y1,y2)

Description

RMSE is used to calculate the root mean square difference between two vectors or matrices. If the vectors or matrices contain matching model-estimated and measured quantities, then the output is the Root Mean Square Error (RMSE).

The output err depends on the input, and there are 3 possible cases, outlined below:

Input and Output Cases

• Case A): y1 is a matrix or vector

err = rmse(y1);

The output err is the root mean square of the elements of y1.

• Case B): y1 is a matrix or vector, y2 is the same size as y1

err = rmse(y1,y2);

The output err is the root mean square of the difference between y1 and y2.

• Case C): y1 is a matrix or vector, y2 is a column vector

err = rmse(y1,y2);

The output err is the root mean square of the difference between each column of y1 and y2.

Example: For example, y2 is a reference and the rmse is calculated between each column of y1 and the vector y2.

See Also

crossval