One- and two-point statistics of 21cmFASTv4 and an N -body + hydro code at z = 8. We show results from our direct number-limited halo sampling (green lines) and correlated mass-limited halos sampling starting at z = 5.5 (orange lines). We also show statistics from ASTRID Friends-of-Friends catalogues (blue lines). Panels from left to right show the halo power spectrum, the mean HMF within 2Mpc Eulerian (evolved) cells, and the standard deviation divided by mean σ/µ (CV) of the HMF averaged over the same cells as in the middle panel. HMF statistics are presented as solid lines for all cells, dashed lines for δ ∈ (−0.6, −0.4), dot-dashed lines for δ ∈ (−0.1, 0.1), and dotted lines for δ ∈ (0.9, 1.1).