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Say I have a series of forecasts and observations like this:

      EntityF   EntityO
2004  120       125
2006  166       173
2008  150       167   
2010  152       -

And assume that the (i) entity is the same and (ii) the forecasting methodology is constant.

I'd like to

  1. Produce a meaningful metric of the forecasting error.
  2. Be able to predict the current forecast (2010) error based on 1.
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1 Answer

up vote 5 down vote accepted
  1. You could use Mean Absolute Error (mean of $|F-O|$) or Mean Squared Error (mean of $(F-O)^2$)

  2. If your forecast method is unbiased, then the best estimate of a future forecast error is 0 and the variance of the forecast error can be estimated by the MSE.

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