Shapes and Probabilities of Galaxy Clusters II: Comparisons with
  observations
  We identify low redshift clusters and groups in the Sloan Digital Sky Survey
(SDSS) and estimate their kinetic and correlation potential energies. We
compare the distribution of these energies to the predictions by Yang and
Saslaw (2012) and in the process estimate a measure of an average 3-dimensional
velocity and spatial anisotropy of a sample of clusters. We find that the
inferred velocity anisotropy is correlated with the inferred spatial
anisotropy. We also find that the general shape of the energy distribution
agrees with theory over a wide range of scales from small groups to
superclusters once the uncertainties and fluctuations in the estimated energies
are included.
