Posterior distributions of the key parameters for the hierarchical inference. Blue: constraints from the TDCOSMO-only sample. Violet: constraints with the addition of IFU data of nine SLACS lenses to inform the anisotropy prior on the TDCOSMO sample, TDCOSMO+SLACS_IFU. Orange: constraints with a sample of 33 additional lenses with imaging and kinematics data (HST imaging + SDSS spectra) from the SLACS sample, TDCOSMO+SLACS_SDSS. Purple: joint analysis of TDCOSMO and 33 SLACS lenses with SDSS spectra of which nine have VIMOS IFU data, TDCOSMO+SLACS_{SDSS + IFU}. Priors are according to Table 5. The 68th percentiles of the 1D marginalized posteriors are presented in Table 6. The posteriors in H₀ and λ_int, 0 were held blinded during the analysis (https://github.com/TDCOSMO/hierarchy_analysis_2020_public/blob/6c293af582c398a5c9de60a51cb0c44432a3c598/JointAnalysis/joint_inference.ipynb).