ISSN:
1573-8868
Keywords:
closed number systems
;
closure
;
log ratio
;
compositional data
;
logistic-normal distribution
;
correlations among proportions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Geosciences
,
Mathematics
Notes:
Abstract This paper examines some aspects of the power and robustness of the test for complete subcompositional independence proposed by Aitchison (1982). Although the computed test statistics commonly do not approach being χ2 distributed throughout their range, the upper tail of their distribution does mimic the χ2 distribution sufficiently to yield a quite robust test when variates are drawn from identical distributions with different distribution parameters or even when variates are drawn from different distributions. But the magnitude of correlations among the variables and the proportion of correlated to independent variables that compose the closed data vectors affect the power of the test.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00914256
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