SIMPLICIAL INFERENCE 21
We hope that the above account of how the nature of compositional and prob-
ability statement problems leads to requirements of scale, perturbation and per-
mutation invariance and subcompositional coherence which dictate the form of a
meaningful and appropriate methodology, will encourage the statistician, faced with
simplicial data, to apply these statistical techniques. Whether the statistician opts
to perform log ratio analysis and interpret the results in the transformed space R_d
or to transform back into the simplex
sd,
or indeed never to leave the simplex
sd,
is clearly a matter of individual choice, possibly depending on the mathematical
skills of the statistician's client.
(A1)
(A2)
(A3)
(A4)
(A5)
[A6)
(A7)
(A8)
(A9)
(A10)
(All)
(A12)
(A13)
(A14)
[A-B)
[A-L]
[A-S]
[A-T]
(Az-D]
(C]
(G1]
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