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Asymmetric measures of association, closed data, and multivariate analysis

Journal of the International Association for Mathematical Geology

By:
,
DOI: 10.1007/BF01091206

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Abstract

The association between constant-sum variables Xiand Xjexpressed as percentages can be calculated as a product-moment correlation between Xiand Xj/(100 - Xi) and a correlation between Xjand Xi/(100 - Xj). An asymmetric, square matrix may be formed from these coefficients, and multivariate analysis performed by two methods: singular value decomposition and canonical decomposition. Either analysis avoids problems in the interpretation of correlation coefficients determined from closed arrays, and provides information about dependencies among the variables beyond that obtained from the usual correlation coefficient between Xiand Xj. Two examples show the canonical decomposition to have the greater usefulness. ?? 1980 Plenum Publishing Corporation.

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Asymmetric measures of association, closed data, and multivariate analysis
Series title:
Journal of the International Association for Mathematical Geology
DOI:
10.1007/BF01091206
Volume
12
Issue:
3
Year Published:
1980
Language:
English
Publisher location:
Kluwer Academic Publishers-Plenum Publishers
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Journal of the International Association for Mathematical Geology
First page:
235
Last page:
246
Number of Pages:
12