Mean absolute error

Gives the average size of the prediction errors, where each error is the absolute difference between a forecast f_i and the actual value y_i, so direction is ignored. It is used to measure how accurate a forecast or model is, in the same units as the data.

\mathrm{MAE} = \frac{1}{n}\sum_{i=1}^{n} \left| f_i - y_i \right| = \frac{1}{n}\sum_{i=1}^{n} \left| e_i \right|

What the symbols mean

number of observations or forecasts
forecast or predicted value for observation i
actual observed value for observation i
forecast error for observation i, \(e_i = f_i - y_i\)

About this formula

  • FieldStatistics
  • TopicForecast accuracy and error measures
  • LevelUniversity
  • Also calledMAE, mean absolute deviation of forecast errors, average absolute error, forecast error MAE formula, MAE formula, mean absolute error formula
  • SourceWikidata Q6803609

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