Example of secondary halo bias: mean halo effective bias ${⟨b_h|M_{\mathrm{vir}}⟩}_q^{(\theta )}$ measured in bins of the halo (log) mass using a number of halo properties as secondary properties θ, namely, concentration C_vir, spin λ_B, ellipticity ℰ_h, Mach number ℳ₅, local dark matter overdensity Δ_dm, and tidal anisotropy 𝒯_A. In each mass-bin, the sample has been divided in quartiles q of the property θ. We show results from the lower (first) quartile (red symbols) and the upper (fourth) quartile (blue error bars), along with the results from the full sample (in each mass bin, yellow error bars), at redshifts z = 0 (dashed lines) and z = 2.2 (solid lines).