Moderation analysis confirmed a dissociated relationship between tau and connection strength in Alzheimer’s disease and PSP at all network densities [Δr2 = 0.29, F(1,30) = 19.0, P = 0.0001; after partialling out age (Supplementary Fig. 5A) Δr2 = 0.28, F(1,30) = 17.9, P = 0.0002]. The gene discussed is MAPT; the disease is Alzheimer disease.