Various one-dimensional and two-dimensional posteriors of the hyperparameters in our analysis relating to the variation in f_p in the power-law continuum are shown. The dark blue dashed lines in the one-dimensional distributions represent the priors. The hyperparameters shown here are the (ascending) power-law index α_z of the modeled merger rate, and hyperparameters connected to varying f_p from Eq. (2). This includes log(f_{p, low}), log(f_{p, high}), the width of the sigmoid $log(\mathrm{\Delta }{z}_{log(f_{\mathrm{p}})})$ and the middle of the sigmoid ${\overline{z}}_{log(f_{\mathrm{p}})}$.