Compositional cubes: a new concept for multi-factorial compositions.

ABSTRACT: Compositional data are commonly known as multivariate observations carrying relative information. Even though the case of vector or even two-factorial compositional data (compositional tables) is already well described in the literature, there is still a need for a comprehensive approach to the analysis of multi-factorial relative-valued data. Therefore, this contribution builds around the current knowledge about compositional data a general theoretical framework for k-factorial compositional data. As a main finding it turns out that, similar to the case of compositional tables, also the multi-factorial structures can be orthogonally decomposed into an independent and several interactive parts and, moreover, a coordinate representation allowing for their separate analysis by standar

SUBMITTER: Facevicova K 

PROVIDER: S-EPMC9366844 | biostudies-literature | 2023

REPOSITORIES: biostudies-literature