Table 3.
Comparison of PNLF shapes for regions in M 31 with the Anderson-Darling test.
| Regions compared | Significance level (%) | |
|---|---|---|
| Disc (10 < RGC≤ 20 kpc) | Disc (20 < RGC≤ 30 kpc) | 4.1 |
| Giant Stream | 0.2 | |
| NE Shelf | 0.1 | |
| G1 Clump | 0.1 | |
| W Shelf | 0.2 | |
| Stream D | 0.1 | |
| Disc (20 < RGC ≤ 30 kpc) | Giant Stream | 2.8 |
| NE Shelf | 0.1 | |
| G1 Clump | 1.0 | |
| W Shelf | 0.2 | |
| Stream D | 0.1 | |
| Giant Stream | NE Shelf | 25.0 |
| G1 Clump | 25.0 | |
| W Shelf | 9.0 | |
| Stream D | 0.1 | |
| NE Shelf | G1 Clump | 25.0 |
| W Shelf | 14.5 | |
| Stream D | 0.7 | |
| G1 Clump | W Shelf | 25.0 |
| Stream D | 4.4 | |
| W Shelf | Stream D | 18.1 |
Notes. The null hypothesis that the two PNLF shapes come from the same distribution is rejected at a given significance level. The value is floored and capped at 0.1% and 25% respectively. In this work, we reject the null hypothesis when the significance level is less than 5%. In such cases, the region listed in the second column and the corresponding significance level are marked in italics in the table. Origin of the differences in the PNLFs further discussed in Sect. 5 and Appendix C.
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