Reconstructed spectra, Residuals, Regression coefficients [1 – BUCHI NIRCal User Manual

Page 195: Regression coefficients / property spectra (clu), 70 reconstructed spectra, 71 residuals, 72 regression coefficients [1

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Chemometrics

NIRCal 5.5 Manual, Version A

195

3.18.70

Reconstructed Spectra

Description

Reconstructed pretreated spectra with the number of primary PCs.

Use

See how good the reconstruction works.

Method

PCR / PLS / Cluster (CLU) / SIMCA

Matrices ID

8

Tip

It should be as similar to the pretreated spectra as possible.

Details

Reconstructed spectra are plotted as the intensity values after the used
pretreatments according the wavelengths after the reconstruction of the PCA
using the primary PCs.

Related Topic

Pretreated Spectra Spectra Residuum


Available in the menubar: Graphics / Spectra / Reconstructed.

A reconstructed spectrum is the sum of [mean spectrum and the sum of PCs multiplied with the scores
values].

3.18.71

Residuals

Description

Contains the residual value against the PCs for the different spectra.

Use

For selection of the primary PCs.

Method

PCR / PLS / Cluster (CLU) / SIMCA

Matrices ID

95

Tip

Select the smallest number of PCs, where the residuals are similar small and
do not change anymore.

Details

Residual is the sum of squares of the residuum spectrum. Residuum
spectrum = pretreated spectrum

– reconstructed spectrum.

Related Topic

Spectra Residuum

,

X-PRESS

3.18.72

Regression Coefficients [1]

Description

It shows the regression coefficients in function of the PCs. Each regression
coefficients name has the name of the PC.

Use

Help for the optimal secondary PCs selection.

Method

PCR / PLS

Matrices ID

79

Tip

Select PCs, which have stable regression coefficients (not noisy).

Details

[1] means the 1st C-Set property. In general for each quantitative application
only one C-Set property is allowed, so for each property a separate
calibration is necessary (NIRCal could handle more in file-mode, but
NIRWare is conceived with only one property per calibration for quantitative
measurements).

Related Topic

Regression Coefficient

,

CV Regression Coefficients[1]

3.18.73

Regression Coefficients / Property Spectra (CLU)

Description

Spectra of the property. This matrices is called Regression Coefficient for
quantitative calibration and Property Spectra for Cluster calibrations.

Use

Useful for wavelength selection.

Method

PCR / PLS / Cluster (CLU)

Matrices ID

31

Tip

Select wavelengths with high absolute values.

Details

Cluster method calculates the mean spectra of all C-Set spectra with the
same property
.

Related Topic

Loadings

,

Property Wavelength Regression


In quantitative calibration the Regression Coefficients is used for building up the prediction
equation:

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