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*Relative-Root-Mean-Squared Error Score  
*Relative-Root-Mean-Squared Error Score  
{{Equation|<math> RRMSES(x,y,x_0) = 1-\frac{\sqrt{ \bigg\langle \big(  x - y  \big)^2  \bigg\rangle }} { \sqrt{ \bigg\langle \big(  x - x_0  \big)^2  \bigg\rangle  </math>|2=4}}
{{Equation|<math> RRMSES(x,y,x_0) = 1-\frac{\sqrt{ \bigg\langle \big(  x - y  \big)^2  \bigg\rangle }} { \sqrt{ \bigg\langle \big(  x - x_0  \big)^2  \bigg\rangle }} </math>|2=4}}


*Relative-Mean-Absolute Error  
*Relative-Mean-Absolute Error  

Revision as of 18:10, 6 December 2010

Given the observed values x and calculated values y, there are several goodness of fit statistics or skill scores which can be calculated. The definition for some of the more common ones are provided below.

  • Brier Skill Score
  (1)
  • Root-Mean-Squared Error is defined as
  (2)
  • Relative-Root-Mean-Squared Error
  (3)
  • Relative-Root-Mean-Squared Error Score
  (4)
  • Relative-Mean-Absolute Error
  (5)
  • Relative-Mean-Absolute Error Score
  (6)
  • Correlation coefficient is defined as
  (7)

The bias is given by

  (8)

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