In red, the one- and two-dimensional marginal posterior plots for the parameters, amplitude α₀, redshift trend α_z, and richness trend α_λ, of the maximally extended projection effects model (prj++). The One-dimensional posterior for the amplitude parameter α₀ is also shown in orange for the extended projection effects model (prj+); the other two parameters are set to zero (α_λ = α_z = 0) in this model.