English

On the choice of weights in aggregate compositional data analysis

Applications 2023-01-27 v1

Abstract

In this paper, we distinguish between two kinds of compositional data sets: elementary and aggregate. This fact will help us to decide the choice of the weights to use in log interaction analysis of aggregate compositional vectors. We show that in the aggregate case, the underlying given data form a paired data sets composed of responses and qualitative covariates; this fact helps us to propose two approaches for analysis-visualization of data named log interaction of aggregates and aggregate of log interactions. Furthermore, we also show the first-order approximation of log interaction of a cell for different choices of the row and column weights.

Keywords

Cite

@article{arxiv.2301.10970,
  title  = {On the choice of weights in aggregate compositional data analysis},
  author = {Vartan Choulakian and Jules De Tibeiro and Pasquale Sarnacchiaro},
  journal= {arXiv preprint arXiv:2301.10970},
  year   = {2023}
}

Comments

3 figures, 1 table, 17 pages

R2 v1 2026-06-28T08:20:57.248Z