2000ApJ...534..703S

We show that the correlation between the size of the largest superassociations and the luminosity of the parent galaxy found by Elmegreen et al. is most likely due to the size-of-sample effect acting on a universal size distribution. We calculate this distribution function to be dN∝r^–4.2±0.6dr, independent of the luminosity of the parent galaxy, and show that this law is consistent with the hypothesis that superassociations are part of a fractal hierarchy of structures that might extend from stellar-sized clouds all the way to full galaxies.