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

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: