The Mahalanobis distance

Authors
De Maesschalck, R Jouan-Rimbaud, D Massart, DL
Citation
R. De Maesschalck et al., The Mahalanobis distance, CHEM INTELL, 50(1), 2000, pp. 1-18
Citations number
60
Categorie Soggetti
Spectroscopy /Instrumentation/Analytical Sciences
Journal title
CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS
ISSN journal
01697439 → ACNP
Volume
50
Issue
1
Year of publication
2000
Pages
1 - 18
Database
ISI
SICI code
0169-7439(20000104)50:1<1:TMD>2.0.ZU;2-#
Abstract
The theory of many multivariate chemometrical methods is based on the measu rement of distances. The Mahalanobis distance (MD), in the original and pri ncipal component (PC) space, will be examined and interpreted in relation w ith the Euclidean distance (ED). Techniques based on the MD and applied in different fields of chemometrics such as in multivariate calibration, patte rn recognition and process control are explained and discussed. (C) 2000 El sevier Science B.V. All rights reserved.