Range of intrinsic AGN HOD slopes (α) for parent halos with log M_vir > 13 [h⁻¹ M_⊙] as a function of X-ray luminosity limit. The two colors correspond to each M_BH − M_vir model and their accepted parameters. The solid data points correspond to the standard ERDF 1, while the transparent, dashed data points correspond to ERDF 2 (which includes a strong stellar mass dependence). The slope for all subhalos is shown in gray for comparison. In the case of Model 2, where black hole mass correlates more strongly with halo mass, the resulting median AGN HOD slope decreases and becomes more biased against the overall population of accreting black holes for higher luminosity thresholds. For both models, ERDF 2 produces smaller values of alpha, especially for the L_X = 10⁴¹ and 10⁴² erg s⁻¹ thresholds.