Journal of the International Association for Mathematical Geology

, Volume 13, Issue 2, pp 175-189

First online:

A new approach to null correlations of proportions

  • J. AitchisonAffiliated withDepartment of Statistics, University of Hong Kong

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Much work on the statistical analysis of compositional data has concentrated on the difficulty of interpreting correlations between proportions with an assortment of tests for nullcorrelations, for independence except for the constraint, F-independence of bounded variables, neutrality in the mean and in the median. This paper questions the appropriateness of characterizing the dependence structure of proportions in terms of such concepts, suggests an alternative method of modeling, develops necessary distribution theory and tests, and illustrates the methodology in applications.

Key words

closed and open array compositional data correlations between proportions Dirichlet distributions logistic-normal distributions petrogenesis tests for basis independence