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S_3 = \bar \mu_3(\delta x) = \bar \mu_3(x-\hat x)

where

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body--uriencoded--x = \%7B x_1, \, x_2, \, x_3 , ... x_N \%7D

numerical dataset, representing the samples of property 

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bodyx

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body--uriencoded--\hat x = \%7B \hat x_1, \, \hat x_2, \, \hat x_3 , ... \hat x_N \%7D

model prediction of property 

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bodyx

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body\delta x = x - \hat x

discrepancy dataset

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body\bar \mu_3(\delta x)

3-rd order standardized central momentum of the discrepancy dataset 

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body\delta x



See also


Natural Science / System / Model / Model Validation / Goodness of fit

Formal science / Mathematics / Statistics Statistical correlation / Correlation coefficient