Table 1.
Statistical analysis of galaxy-filament alignment signals for spirals and ellipticals within various proximity selections from the filament spine.
| Proximity selection | Ngal | ⟨σ⟩ | σ⟨cosθ⟩ | pKS |
|---|---|---|---|---|
| Spirals | ||||
| d ≤ 0.2 Mpc | 3245 | 1.029 (Fig. 4.1, red) | 0.025 (Fig. 4.1A) | 7.3 × 10−1 |
| 0.2 ≤ d≤ 0.5 Mpc | 10144 | 0.499 (Fig. 4.2, red) | 0.898 (Fig. 4.2A) | 8.4 × 10−1 |
| d ≤ 0.5 Mpc | 13 389 | 0.660 (Fig. 4.2, blue) | 0.742 (Fig. 4.2B) | 9.1 × 10−1 |
| 0.5 ≤ d≤ 1 Mpc | 9074 | 1.079 (Fig. 4.3, red) | 1.919 (Fig. 4.3A) | 3.9 × 10−2 |
| d ≤ 1 Mpc | 22 463 | 0.950 (Fig. 4.3, blue) | 1.767 (Fig. 4.3B) | 8.6 × 10−2 |
| 1 ≤ d ≤ 2 Mpc | 10 054 | 0.945 (Fig. 4.4, red) | 2.311 (Fig. 4.4A) | 8.0 × 10−3 |
| d ≤ 2 Mpc | 32 517 | 1.176 (Fig. 4.4, blue) | 2.795 (Fig. 4.4B) | 1.6 × 10−3 |
| Proximity selection | Ngal | ⟨σ⟩ | σ⟨cosθ⟩ | pKS |
| Ellipticals | ||||
| d≤ 0.2 Mpc | 1455 | 1.284 (Fig. 5.1, red) | 4.174 (Fig. 5.1A) | 5.7 × 10−4 |
| 0.2 ≤ d ≤ 0.5 Mpc | 4891 | 2.418 (Fig. 5.2, red) | 8.563 (Fig. 5.2A) | 1.5 × 10−12 |
| d ≤ 0.5 Mpc | 6346 | 2.696 (Fig. 5.2, blue) | 9.500 (Fig. 5.2B) | 1.9 × 10−14 |
| 0.5 ≤ d ≤ 1 Mpc | 5751 | 1.766 (Fig. 5.3, red) | 6.989 (Fig. 5.3A) | 1.4 × 10−7 |
| d ≤ 1 Mpc | 12 097 | 3.107 (Fig. 5.3, blue) | 11.598 (Fig. 5.3B) | 3.6 × 10−17 |
| 1 ≤ d ≤ 2 Mpc | 6858 | 1.918 (Fig. 5.4, red) | 6.190 (Fig. 5.4A) | 3.9 × 10−9 |
| d ≤ 2 Mpc | 18 955 | 3.631 (Fig. 5.4, blue) | 13.067 (Fig. 5.4B) | 1.5 × 10−27 |
Notes. Columns indicate: (1) Galaxy sub-sample defined by each galaxy’s distance from filament spine (in megaparsecs); (2) Number of galaxies in each subsample (Ngal); (3) Alignment signal Significance (⟨σ⟩), quantifying deviation from randomized distributions; (4) Significance from Mean of Alignment signal(σ⟨cosθ⟩), measuring deviation of observed mean from random expectations in standard deviations; and (5) KS test probability (pKS), evaluating the likelihood of observed alignment distributions from a random orientation scenario.
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