Comparison of stacked W₈₀ profiles and host galaxy properties between different AGN samples. The plots in the top and bottom rows show how both samples behave after they are matched to have the same log(M_⋆) and log(L_{[O III]}). The Venn diagrams shown in each W₈₀ plot represent the AGN sample in the label. Top: Blue for optically selected (without broad-line-selected) and gray for the opposite. Bottom: Blue for sample B and gray for sample A. For each column of plots, from left to right, we show the W₈₀ stacked radial profile, the log(M_⋆) distribution, the log(L_{[O III]}) distribution, and the log(SFR(Hα)) distribution.