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Forecast accuracy calculator

Paste actual and forecast values in matching order to compare five widely used error measures.

MAE — mean absolute error: —

Fill in the fields above — the result is computed on this page.

Pairs
—
RMSE
—
MAPE
— %
sMAPE
— %
MASE
—
Mean signed error
—

Actual and forecast values

Lines that stay close indicate smaller errors for the displayed periods; the analytical goal determines which metric matters.

Errors by period

Period Actual Forecast Error |Error| APE (%)
Fill in the fields above — the result is computed on this page.
What do these numbers mean?
  • Compare models over the same periods and observations.
  • Inspect the error table because one average can hide a few large misses.

MAPE is undefined when the actual value is zero, and MASE needs variation between successive actual values. The metrics describe the supplied sample and do not guarantee future performance.

How do I use this page?
  1. Paste equal counts of actual and forecast values.
  2. Compare MAE, RMSE, MAPE, sMAPE and MASE.
  3. Inspect the chart and the errors for individual periods.

What this page does not do: MAPE is undefined when the actual value is zero, and MASE needs variation between successive actual values. The metrics describe the supplied sample and do not guarantee future performance.

Further reading

Theory — how is forecast accuracy measured?

Forecast accuracy can be measured in several ways, and each one treats errors differently. MAE is expressed in the data's own units and weights every deviation equally, while RMSE punishes large mistakes more heavily, and MAPE is easy to communicate but fails when the actual value is zero. sMAPE avoids that problem by scaling the error with the sum of the absolute forecast and actual values. No single measure is universally best — the right choice depends on the nature of the data.

Frequently asked questions

Which forecast metric is best?
No single metric is always best. MAE is readable in the data unit, RMSE penalises large errors more, and MASE supports comparison across series.
Why can MAPE be blank?
MAPE divides by the actual value. The percentage is undefined at zero, so the calculator excludes that period from MAPE.

See also

← All calculators

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