Analyzing GeneXproTools Models Statistically

Relative Absolute Error
The relative absolute error is very similar to the relative squared error in the sense that it is also relative to a simple predictor, which is just the average of the actual values. In this case, though, the error is just the total absolute error instead of the total squared error. Thus, the relative absolute error takes the total absolute error and normalizes it by dividing by the total absolute error of the simple predictor.

Mathematically, the relative absolute error Ei of an individual program i is evaluated by the equation:

where P(ij) is the value predicted by the individual program i for sample case j (out of n sample cases); Tj is the target value for sample case j; andis given by the formula:

For a perfect fit, the numerator is equal to 0 and Ei = 0. So, the Ei index ranges from 0 to infinity, with 0 corresponding to the ideal.

To evaluate the RAE of your model both on the training and testing data, you just have to go to the Results Panel after a run and, although it is not shown there, it is also evaluated there and kept for your future reference in the Report Panel.

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