Abstract

This chapter discusses some of the statistics that are commonly used in conjunction with the multivariate calibration techniques used for spectroscopic analysis. A list of the statistics that are felt to be useful and fairly common in spectroscopic calibration work—so that anyone reading the literature is likely to come across them—is presented. The format of the list is as follows: (1) the name of the statistic, (2) the abbreviation (or symbol) for that statistic, including synonyms, (3) the calculational formula in summation notation, and (4) other computational forms that allow shortcut methods of calculation, or show the relationship to other statistics. All summations are taken over N, the number of samples in the set, unless otherwise specified. This allows the simplification of the notation by leaving the limits of summation off the summation signs where convenient.

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