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Asymmetric measures of association, closed data, and multivariate analysis

January 1, 1980

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 Year 1980
Title Asymmetric measures of association, closed data, and multivariate analysis
DOI 10.1007/BF01091206
Authors M. Ed Hohn, E.B. Nuhfer
Publication Type Article
Publication Subtype Journal Article
Series Title Journal of the International Association for Mathematical Geology
Index ID 70012402
Record Source USGS Publications Warehouse