C-set property dependencies, C-set regression coefficient, 28 c-set property dependencies – BUCHI NIRCal User Manual

Page 177: 29 c-set regression coefficient

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Chemometrics

NIRCal 5.5 Manual, Version A

177

The optimum number of PC is always given by the smallest number of PC where the PRESS function
for the calibration and for the validation set is approximately equal and minimal.
If the error of the prediction diminishes only very slightly by the addition of another PC, it is not worth
while to add that PC. This is because higher PCs with little influence will often result in a poorer
reproducibility or stability of the calibration.

3.18.28

C-Set Property Dependencies

Description

Regression coefficient between all original C-Set spectra properties.

Use

Shows linear dependencies between different properties.

Method

MLR / PCR / PLS

Matrices ID

36

Tip

Use a table (grid) to check internal property dependencies

Details

Absolute regression coefficient near 1.0 shows that two properties are
linearly dependent. Only the property of C-Set Spectra take effect.

Related Topic

Original Property

3.18.29

C-Set Regression Coefficient

Description

Calibration Set Regression Coefficient of Original Property and Predicted
Property (also known as correlation coefficient or Pearson's correlation
coefficient)

Use

To compare with the V-Set regression Coefficient

Method

PCR / PLS

Matrices ID

18

Tip

Should be as close to 1 as possible.

Details

Visible on the calibration curve and in the calibration protocol.

Formula

Related Topic

V-Set Regression Coefficient

,

Original Property

,

Predicted Property


The regression coefficient "r" shows how well the predicted values match with the reference values
(original property values) on average.
The correlation is rated as acceptable when r > 0.9 is achieved (the error of the conventional reference
method goes into the NIR-calibration via the reference values).

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