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The Statistical Analysis of Compositional Data

Aitchison, J.·1982·Journal of the Royal Statistical Society Series B: Statistical Methodology

Abstract

Summary: The simplex plays an important role as sample space in many practical situations where compositional data, in the form of proportions of some whole, require interpretation. It is argued that the statistical analysis of such data has proved difficult because of a lack both of concepts of independence and of rich enough parametric classes of distributions in the simplex. A variety of independence hypotheses are introduced and interrelated, and new classes of transformed-normal distributions in the simplex are provided as models within which the independence hypotheses can be tested through standard theory of parametric hypothesis testing. The new concepts and statistical methodology are illustrated by a number of applications.

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Citations

Cites

Show all 2 references

Research works printed but not linked: 49

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Cited by

Metadata

Authors
Aitchison, J.
Venue
Journal of the Royal Statistical Society Series B: Statistical Methodology
Published
1982-01-01
Volume
44
Issue
2
Pages
139-160
ISSN
  • 1369-7412 (ISSN-L)
  • 1467-9868
OpenAlex
W2904250115
Cited by
3,405
References
2
FWCI
8.05
Type
journal article
Language
en
Open access
closed

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