  In this work we perform an analysis on the recently proposed conjoined cosmic
growth and cosmic expansion diagram [1] to compare several dark energy models
using the Figure of Merit showed in [2], which consists in the inverse of the
$1\sigma$ confidence region in the $f\sigma_8(z)-H(z)$ plot. Our analysis also
consists of comparing the models by performing different statistical criteria:
Bayes factor [3], the Bayesian Information Criteria [4] and the Akaike
Information Criterion [5]. We also developed a 3-dimensional Figure of Merit to
account simultaneously for the errors on the growth rate and the Hubble
parameter. The main idea is to consider several cosmological models and compare
them with the different statistical criteria in order to highlight the
differences and the accuracies of each single criterion.
