Impact of changes in the dark matter halo shape assumed on the correlation function in redshift space: |$w_{\rm p}$| (left), RSD monopole |$\xi _{0}$| (middle), and quadrupole |$\xi _{2}$| (right), using the halo and subhalo catalogue from the mdpl2 simulation. The result shows the ratio of the measurements between the sphericalized and the original distribution. The top panel shows a sample with halo mass |$13.0\lt \log {M \, [h^{-1} \, {\rm M}_{\odot }]}\lt 13.2$| at different redshifts, while the bottom panel shows samples at |$z=0.55$| with different halo masses. For each realization, we repeat the sphericalization procedure multiple times with different random seeds and measure the 2PCF. The solid line denotes the mean and the shaded area displays the 68 per cent uncertainty from these measurements.