The Mahalanobis distance

被引:1696
作者
De Maesschalck, R [1 ]
Jouan-Rimbaud, D [1 ]
Massart, DL [1 ]
机构
[1] Free Univ Brussels, Dept Pharmacol & Biomed Anal, Inst Pharmaceut, ChemoAC, B-1090 Brussels, Belgium
关键词
Mahalanobis distance; Euclidean distance; principal components;
D O I
10.1016/S0169-7439(99)00047-7
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The theory of many multivariate chemometrical methods is based on the measurement of distances. The Mahalanobis distance (MD), in the original and principal component (PC) space, will be examined and interpreted in relation with the Euclidean distance (ED). Techniques based on the MD and applied in different fields of chemometrics such as in multivariate calibration, pattern recognition and process control are explained and discussed. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码:1 / 18
页数:18
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