Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

LaTeX Math Inline
bodyx

a variable represented by data set

LaTeX Math Inline
body\hat x

estimator of variable 

LaTeX Math Inline
bodyx
 

LaTeX Math Inline
body\{ x_1, \, x_2, \, x_3 , ... x_N \}

discrete set of numerical samples of variable 

LaTeX Math Inline
bodyx
 

LaTeX Math Inline
body\{ \hat x_1, \, \hat x_2, \, \hat x_3 , ... \hat x_N \}

discrete set of predictors for the corresponding samples of variable 

LaTeX Math Inline
bodyx
 

LaTeX Math Inline
bodyMSD(x, \hat x)

Mean Square Deviation (MSD)


The RMSD is a square root of Mean Square Deviation (MSD) between the datasets of a given variable 

LaTeX Math Inline
bodyx
 and its estimator 
LaTeX Math Inline
body\hat x
.

The key benefit of using RMSD instead of MSD is that it is expressed in the same units as the base property (

LaTeX Math Inline
bodyx
) while MSD is expressed in square units of the base property.


The terms 
RMSD and RMSE and RMSD are used in mathematics and engineering interchangeably.

See also

...