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Mean Absolute Error


The mean absolute error (MAE) of predictions y^^_i for observed values y_i is the arithmetic mean of the absolute errors e_i=y_i-y^^_i, namely

 MAE=1/nsum_(i=1)^n|e_i|.

It has the same units as the observations and, unlike the mean square error, weights errors linearly rather than quadratically.


See also

Absolute Value, Mean Absolute Percentage Error, Mean Square Error, Root-Mean-Square Error

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References

Hyndman, R. J. and Koehler, A. B. "Another Look at Measures of Forecast Accuracy." Int. J. Forecasting 22, 679-688, 2006. https://doi.org/10.1016/j.ijforecast.2006.03.001.

Cite this as:

Weisstein, Eric W. "Mean Absolute Error." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MeanAbsoluteError.html

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