Derived p-values for the angular clustering analysis as a function of ℓ_max, determined from SMICA  based on 2500 simulations. The p-values are based on the fraction of simulations with a higher Rayleigh statistic up to the given ℓ_max than in the data. The RS here is calculated over all pairs of dipole directions where one dipole in each pair is computed in the range [ℓ_lim,ℓ_max], and the other is determined in the range [2,ℓ_lim]. The plot shows p-values for ℓ_lim = 300 (purple), ℓ_lim = 400 (yellow), ℓ_lim = 500 (pink), and ℓ_lim = 700 (cyan). The results have been marginalized over bin sizes in the range Δℓ = 8 to Δℓ = 32.