Exact presentation of multivariate calibration model as univariate calibration graph

✍ Scribed by Nicolaas (Klaas) M. Faber

• Book ID: 104309791
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 131 KB
• Volume: 50
• Category: Article
• ISSN: 0169-7439
• DOI: 10.1016/s0169-7439(99)00054-4

✦ Synopsis

A proof is given that a recently introduced univariate presentation of a multivariate calibration model is exact, i.e., there Ž . are no approximations involved. The proof is based on: 1 previously proposed definitions of multivariate net analyte signal Ž . Ž . and multivariate calibration factors sensitivity in classical model and inverse sensitivity in inverse model and 2 the geometrical property of the true regression vector in inverse multivariate calibration that it must be proportional to the true multivariate net analyte signal vector of a particular sample. The extension of the proof to multiway calibration is briefly dis-Ž . cussed. A practical example from near-infrared NIR spectroscopy is used to illustrate that the proposed univariate presentation may give more meaning to the term 'spectral overlap'.