| 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. |
| Genre: | Article |
| ProdID: | 70012402 |
| Citation Author: | Hohn, M. Ed.; Nuhfer, E. B. |
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| Citation End Page: | 246 |
| Citation Issue: | 3 |
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| Citation Language: | English |
| Citation Larger Work Title: | Journal of the International Association for Mathematical Geology |
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| Citation Number Of Pages: | 12 |
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| Citation Search Results Text: | Asymmetric measures of association, closed data, and multivariate analysis; 1980; Article; Journal; Journal of the International Association for Mathematical Geology; Hohn, M. Ed.; Nuhfer, E. B. |
| Citation Start Page: | 235 |
| Citation Volume: | 12 |
| Citation Year: | 1980 |
| Type: | citation/reference |
| Text: | Asymmetric measures of association, closed data, and multivariate analysis; 1980; Article; Journal; Journal of the International Association for Mathematical Geology; Hohn, M. Ed.; Nuhfer, E. B. |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| URL (DIGITAL OBJECT IDENTIFIER): | http://dx.doi.org/10.1007/BF01091206 |
| Date Other: | Tue, 1 Jan 1980 00:00 -0600 |
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