Marginalised posterior distributions of the best-fit HOD parameters on the S2 sample with different choices of the priors. The filled 2D contours show the 1-σ and 2-σ confidence levels of the posteriors after convolution with the uniform priors. The model is given by Eq. 8. The corresponding one-dimensional parameter constraints are reported in Table B.1. The blue (orange, green) shaded area denotes the large (standard, small) prior case.