Maximum Distance (Discriminate Method)

I wrote in other posts, about the Maximum Distance algorithm, in order to discriminate products. In resume is the spectra of a set of samples for training, where we apply a math treatment, and calculate the standard deviation at each wavelength (s), in order to fit some limits to the spectra (will be added to the average spectrum). Therefore, the new samples should come into the defined limits in order to be classify as a sample of this group.

Therefore, in the areas of the spectra where there are more variability, the limits will be higher than in the area of lower variability.

We can see first the spectra (gray ones) with the mat treatment applied and draw the average spectrum (red one):

 

 and to over plot  the standard deviation spectra at each wavelength (green one) with the average spectrum (red one), in order to imagine how the limit will fit.

 

I will try to work on it exporting in Excel the spectra to show you better in a new post.