Motivation: Many analyses of metabolomic data depend on the choice of distance measure, but it is unclear how to make an appropriate choice. The choice is especially unclear when the variance in metabolite abundance is not constant. Methods: We describe a class of weighted distance measures that account for non-constant variance in metabolite abundance by using a model of the relationship betwe...

In this paper, we attempt to see further by relating theory with practice: First, review the principles on which three interrelated well developed methods for analysis and visualization of contingency tables compositional data are erected: Correspondence based Benzécri’s principle distributional equivalence, Goodman’s RC association model Yule’s scale invariance, Aitchison’s subcompositional co...