Chemometrics in Electroanalysis by José Manuel Díaz-Cruz & Miquel Esteban & Cristina Ariño

Author:José Manuel Díaz-Cruz & Miquel Esteban & Cristina Ariño
Language: eng
Format: epub
ISBN: 9783030213848
Publisher: Springer International Publishing

5.2 Inverse Least Squares (ILS)

ILS, also known as multiple linear regression (MLR) , is the simplest method for inverse calibration [1, 2]. It expresses Y as a function of X by means of a calibration matrix (or vector) B:

(5.13)

being E the error matrix. Figure 5.2 illustrates the details of such ILS scheme.

Fig. 5.2Scheme of ILS calibration

It is important to notice that B has not a clear physical meaning or, at least, not as clear as the pure signals in S obtained by CLS. In ILS, the calibration step (i.e. the calculation of B) implies the following equation:

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