A synthesis of canonical variate analysis, generalised canonical correlation and Procrustes analysis

被引:24
|
作者
Gardner, S
Gower, JC
le Roux, NJ
机构
[1] Univ Stellenbosch, Dept Stat & Actuarial Sci, ZA-7600 Stellenbosch, South Africa
[2] Open Univ, Dept Stat, Milton Keynes MK7 6AA, Bucks, England
关键词
canonical variate analysis; generalised canonical correlation analysis; generalised Procrustes analysis; biplots; data mining;
D O I
10.1016/j.csda.2004.07.020
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Canonical variate analysis (CVA) is concerned with the analysis of J classes of samples, all described by the same variables. Generalised canonical correlation analysis (GCCA) is concerned with the analysis of K sets of variables, all describing the same samples. A generalised procrustes analysis context is used for data partitioned into J classes of samples and K sets of variables to explore the links between GCCA and CVA. Biplot methodology is used to exploit the visualisation properties of these techniques. This methodology is illustrated by an example of 1425 samples described by three sets of variables (K = 3), the initial analysis of which suggests a grouping of the samples into four classes (J = 4), followed by subsequent more detailed analyses. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:107 / 134
页数:28
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