This paper discusses a methodology for selecting the minimum number of
calibration samples in principal component regression (PCR) analysis.
The method uses only the instrumental responses of a large set of sam
ples to select the optimal subset, which is then submitted to chemical
analysis and calibration. The subset is selected to provide a low var
iance of the regression coefficients. The methodology has been applied
to UV-visible spectroscopy data to determine Ca2+ in water and near-I
R spectroscopy data to determine moisture in corn. In both cases, the
regression models developed with a reduced number of samples provided
accurate results. As far as precision is concerned, a similar root-mea
n-squared error of cross-validation (RMSECV) is found when comparing t
he new methodology with the results of the regression models that use
the complete set of calibration samples and PCR. The number of analyze
d samples in the calibration set can be reduced by up to 50%, which re
presents a considerable reduction in costs.