Between-Group Metrics

被引:1
|
作者
Gower, John C. [1 ]
Albers, Casper J. [2 ]
机构
[1] Open Univ, Dept Math & Stat, Milton Keynes MK7 6AA, Bucks, England
[2] Univ Groningen, Dept Psychometr & Stat, NL-9712 TS Groningen, Netherlands
关键词
Between-group distances; Canonical analysis; Mahalanobis distance;
D O I
10.1007/s00357-011-9090-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In canonical analysis with more variables than samples, it is shown that, as well as the usual canonical means in the range-space of the within-groups dispersion matrix, canonical means may be defined in its null space. In the range space we have the usual Mahalanobis metric; in the null space explicit expressions are given and interpreted for a new metric.
引用
收藏
页码:315 / 326
页数:12
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