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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
 


The MSEThe MSD is a positive number, making zero for a constant dataset only.

The upper value of MSEof MSD is not limited and defined by the variable and its predictor, which can be troublesome in computations.

There are many normalized measures of prediction quality which are more comfortable for computations, with Coefficient of determination (R2) being the most popular.

The terms MSD and MSE are used in mathematics and engineering interchangeably.

See also

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Formal scienceHuman / Science / Formal Science / Mathematics / Statistics / Statistical Metric 

[ Root Mean Square Error (RMSE) ] [ Coefficient of determination (R2) ]

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