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Table A.2

Two sample K-S test results for comparison between properties of groups and their central galaxies inside and outside of filaments in different mass bins and luminosity density ranges.

Density rangesa Propertiesb Mass binc Test statisticd Probability valuese
(h-1M)

12–12.5 0.61 2.2e-16
12.5–13 0.96 2.2e-16
φ(log Mg) 13–13.5 0.25 5.362e-14
13.5–14 0.55 2.2e-16
14–14.5 0.596 2.2e-16
Den8 > 5 14.5–15 0.84 2.2e-16

12–12.5 0.586 2.2e-16
12.5–13 0.374 2.2e-16
(M/L)g 13–13.5 0.368 2.2e-16
13.5–14 0.766 2.2e-16
14–14.5 0.502 2.2e-16
14.5–15 0.424 2.2e-16

12–12.5 0.236 1.61e-12
12.5–13 0.252 3.242e-14
Stellar mass 13–13.5 0.968 2.2e-16
13.5–14 0.546 2.2e-16
14–14.5 0.472 2.2e-16
14.5–15 0.714 2.2e-16

12–12.5 0.338 2.2e-16
12.5–13 0.322 2.2e-16
SSFR 13–13.5 0.882 2.2e-16
13.5–14 0.14 0.0001109
Den8 > 5 14–14.5 0.41 2.2e-16
14.5–15 0.472 2.2e-16

12–12.5 0.238 1.002e-12
12.5–13 0.458 2.2e-16
gr color 13–13.5 0.37 2.2e-16
13.5–14 0.856 2.2e-16
14–14.5 0.214 2.273e-10
14.5–15 0.672 2.2e-16

12–12.5 0.562 2.2e-16
12.5–13 0.434 2.2e-16
Elliptical fraction 13–13.5 0.966 2.2e-16
13.5–14 0.810 2.2e-16
14–14.5 0.812 2.2e-16
14.5–15 0.114 0.003013

12–12.5 0.188 4.228e-08
12.5–13 0.238 1.002e-12
Spiral fraction 13–13.5 0.168 1.487e-06
13.5–14 0.276 2.2e-16
14–14.5 0.316 2.2e-16
14.5–15 0.516 2.2e-16

11.5–12 0.078 0.09547
12–12.5 0.93 2.2e-16
φ(log Mg) 12.5–13 0.638 2.2e-16
13–13.5 0.864 2.2e-16
13.5–14 0.418 2.2e-16
14–14.5 0.132 0.0003292

11.5–12 0.956 2.2e-16
12–12.5 0.646 2.2e-16
(M/L)g 12.5–13 0.972 2.2e-16
13–13.5 0.884 2.2e-16
1.5 < Den8 < 5 13.5–14 0.64 2.2e-16
14–14.5 0.136 0.0001926

11.5–12 0.376 2.2e-16
12–12.5 0.812 2.2e-16
Stellar mass 12.5–13 0.864 2.2e-16
13–13.5 0.962 2.2e-16
13.5–14 0.876 2.2e-16
14–14.5 0.19 2.897e-08

11.5–12 0.796 2.2e-16
12–12.5 0.3 2.2e-16
SSFR 12.5–13 0.116 0.002394
13–13.5 0.744 2.2e-16
13.5–14 0.5 2.2e-16
14–14.5 0.388 2.2e-16

11.5–12 0.44 2.2e-16
12–12.5 0.804 2.2e-16
gr color 12.5–13 0.702 2.2e-16
13–13.5 0.99 2.2e-16
13.5–14 0.988 2.2e-16
14–14.5 0.284 2.2e-16

11.5–12 0.292 2.2e-16
12–12.5 0.550 2.2e-16
1.5 < Den8 < 5 Elliptical fraction 12.5–13 0.100 0.01348
13–13.5 0.910 2.2e-16
13.5–14 0.140 0.0001109
14–14.5 0.228 1.03e-11

11.5–12 0.140 0.0001109
12–12.5 0.096 0.01994
Spiral fraction 12.5–13 0.096 0.01994
13–13.5 0.208 8.061e-10
13.5–14 0.194 1.344e-08
14–14.5 0.102 0.01101

11.5–12 0.574 2.2e-16
12–12.5 0.09 0.03484
φ(log Mg) 12.5–13 0.376 2.2e-16
13–13.5 0.788 2.2e-16
13.5–14 0.928 2.2e-16

11.5–12 0.284 2.2e-16
12–12.5 0.526 2.2e-16
(M/L)g 12.5–13 0.808 2.2e-16
13–13.5 0.154 1.416e-05
13.5–14 0.464 2.2e-16

11.5–12 0.226 1.622e-11
12–12.5 0.87 2.2e-16
Stellar mass 12.5–13 0.10 0.01348
13–13.5 0.798 2.2e-16
13.5–14 0.67 2.2e-16

11.5–12 0.168 1.487e-06
12–12.5 0.398 2.2e-16
Den8 < 1.5 SSFR 12.5–13 0.174 5.329e-07
13–13.5 0.874 2.2e-16
13.5–14 0.886 2.2e-16

11.5–12 0.194 1.344e-08
12–12.5 0.554 2.2e-16
gr color 12.5–13 0.056 0.4131
13–13.5 0.828 2.2e-16
13.5–14 0.834 2.2e-16

11.5–12 0.626 2.2e-16
12–12.5 0.266 2.2e-16
Elliptical fraction 12.5–13 0.478 0.4131
13–13.5 0.878 2.2e-16
13.5–14 0.856 2.2e-16

11.5–12 0.276 2.2e-16
12–12.5 0.114 2.2e-16
Spiral fraction 12.5–13 0.08 0.4131
13–13.5 0.236 2.2e-16
13.5–14 0.342 2.2e-16

Notes.

(a)

8 h-1 Mpc smoothed luminosity density ranges in units of cosmic mean density.

(b)

Properties of groups and central galaxies. φ(log Mg) denotes the number density of groups in each group mass bin.

(c)

Group mass bins with width 0.5 h-1M.

(d)

K-S test statistics for distribution of mean properties of groups or central galaxies inside and outside of filaments.

(e)

Probability that the distribution of mean properties of groups or central galaxies inside and outside of filaments are similar.

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