Table 1.
Pairwise statistical tests of the enclosed dynamical masses within RHI across stellar mass bins.
| Comparison | Statistics | log(M*/M⊙) | ||||
|---|---|---|---|---|---|---|
| [8.7, 9.5) | [9.5, 10.0) | [10.0, 10.5) | [10.5, 11.0) | [11.0, 11.4) | ||
| N = 491 | N = 532 | N = 747 | N = 551 | N = 132 | ||
| TNG100-mock vs TNG100-true | MWU p-value | 0.013 | 0.088 | 0.763 | 0.093 | 0.137 |
| Cliff’s δ | 0.091 | 0.060 | 0.009 | –0.058 | –0.106 | |
| KS p-value | 6.1e–04 | 7.0e–04 | 0.235 | 0.036 | 0.130 | |
| ALFALFA vs TNG100-mock | MWU p-value | 0.006 | 3.1e–04 | 2.4e–04 | 6.6e–05 | 7.0e–04 |
| Cliff’s δ | –0.102 | –0.128 | –0.110 | –0.139 | –0.241 | |
| KS p-value | 0.015 | 3.3e–04 | 0.003 | 9.3e–04 | 0.017 | |
Notes. The samples compared are: TNG100-mock versus TNG100-true, and ALFALFA versus TNG100-mock. The number of galaxies in each bin is indicated in the third row of the table. For each comparison, we report the MWU p-value, and Cliff’s δ, and KS p-value. In both MWU and KS tests, small p-values (e.g., p < 0.01, ∼2.6σ significance) indicate that the null hypothesis can be rejected, i.e. that the two samples are unlikely to share the same median (MWU) or to be drawn from the same distribution (KS). Cliff’s δ quantifies the direction and magnitude of the distributional shift: positive values indicate that the first sample tends to be larger, and vice versa; |δ|≳0.11, 0.28, 0.43 correspond to small, medium, and large effects.
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