Asymmetric measures of association, closed data, and multivariate analysis
Journal of the International Association for Mathematical Geology
By: M. Ed Hohn and E.B. Nuhfer
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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.
| 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 |
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