Co-dependence between halo-to-stellar mass ratio, the total stellar mass, and the bar fraction (B2015) are studied by binning the M_h/M_∗-M_∗ space. In the upper panel, red and blue filled circles correspond to barred and non-barred galaxies, respectively. For a given stellar mass interval, we display the distribution of barred and non-barred galaxies vs. M_h/M_∗. P-values after performing a two-sample K-S test are listed in Table E.1): according to the test, the differences in the distribution of barred and non-barred galaxies are not statistically significant for any of the mass intervals. The green lines correspond to the total halo-to-stellar ratio from Moster et al. (2010) scaled down by constant factors ~0.04 (solid line), ~0.1 and ~0.01 (dashed lines).