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We analyze the velocity anisotropy of stars in real and energy space for asample of Milky Way-like galaxies in the TNG50 simulation. We employ differentselection criteria, including spatial, kinematic and metallicity cuts, and makethree halo classes ($\mathcal{A}$-$\mathcal{C}$) which show mild-to-strongsensitivity to different selections. The above classes cover 48%, 16% and 36%of halos, respectively. We analyze the $\beta$ radial profiles and divide theminto either monotonically increasing radial profiles or ones with peaks andtroughs. We demonstrate that halos with monotonically increasing $\beta$profiles are mostly from class $\mathcal{A}$, whilst those with peaks/troughsare part of classes $\mathcal{B}$-$\mathcal{C}$. This means that care must betaken as the observationally reported peaks/troughs might be a consequence ofdifferent selection criteria. We infer the anisotropy parameter $\beta$ energyspace and compare that against the $\beta$ radial profile. It is seen that 65%of halos with very mild sensitivity to different selections in real space, arethose for which the $\beta$ radial and energy profiles are closely related.Consequently, we propose that comparing the $\beta$ radial and energy profilesmight be a novel way to examine the sensitivity to different selection criteriaand thus examining the robustness of the anisotropy parameter in tracingstellar kinematics. We compare simulated $\beta$ radial profiles againstvarious observations and demonstrate that, in most cases, the model diversityis comparable with the error bars from different observations, meaning that theTNG50 models are in good overall agreement with observations.

On the robustness of the velocity anisotropy parameter in probing the stellar kinematics in Milky Way like galaxies: Take away from TNG50 simulation