Table 3.
p values from hypothesis testing for residual galaxy properties.
Residual | KS | AD | LP | CU | Nuc w.r.t. non-nuc |
---|---|---|---|---|---|
(1) | (2) | (3) | (4) | (5) | (6) |
g′−r′ [mag] | 0.003 | 0.003 | 0.003 | 0.007 | Redder |
log10(n) | 0.334 | 0.250 | 0.458 | 0.352 | – |
log10(Re [arcsec]) | 0.653 | 0.250 | 0.555 | 0.430 | – |
![]() |
0.083 | 0.096 | 0.180 | 0.216 | – |
C | 0.015 | 0.040 | 0.096 | 0.121 | More concentrated (a) |
A | 0.012 | 0.008 | 0.002 | 0.002 | Less asymmetric |
S | 0.141 | 0.208 | 0.386 | 0.342 | – |
G | 0.129 | 0.250 | 0.390 | 0.483 | – |
M20 | 0.096 | 0.038 | 0.004 | 0.001 | Lower scatter |
Δ(g′−r′) [mag] | 0.026 | 0.010 | 0.027 | 0.018 | Redder outskirts |
Notes. The null hypothesis that the residual galaxy properties (1) between nucleated and non-nucleated galaxies in our sample are drawn from the same distribution. The alternative hypothesis is that the null hypothesis is false. The Kolmogorov-Smirnov (2), Anderson-Darling (3), Lepage (4), and Cucconi (5) statistics were used for each galaxy quantity. The p values were calculated for the galaxies within overlapping stellar masses (106.4 M⊙ < M* < 1010.7 M⊙; Col. (3) from Fig. 13). p values below the significance level α = 0.05 are shown in bold. We also describe the difference in residual properties for nucleated galaxies as compared to non-nucleated galaxies (6) for those that have significant test statistic(s).
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