Table 4
Results of GMM runs.
| Color | Peak1 | Peak2 | σ1 | σ2 | NGC | f2 | DD | Kurtosis | p(χ2) | p(DD) | p(kurt) | bi? |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) | (11) | (12) | (13) |
| u − i | 1.84 ± 0.14 | 2.20 ± 0.29 | 0.08 ± 0.07 | 0.30 ± 0.10 | 81 | 0.88 | 1.62 | –0.04 | 0.525 | 0.73 | 0.675 | N |
| g − i | 0.79 ± 0.06 | 1.22 ± 0.19 | 0.13 ± 0.04 | 0.11 ± 0.05 | 81 | 0.05 | 3.44 | 0.93 | 0.050 | 0.14 | 0.974 | Y? |
| u − r | 1.59 ± 0.09 | 1.97 ± 0.13 | 0.12 ± 0.04 | 0.23 ± 0.06 | 81 | 0.81 | 2.06 | –0.09 | 0.634 | 0.61 | 0.630 | N |
| i − k | 0.03 ± 0.10 | 0.63 ± 0.21 | 0.23 ± 0.07 | 0.26 ± 0.10 | 82 | 0.35 | 2.49 | –0.59 | 0.063 | 0.42 | 0.157 | Y? |
| r − j | 0.65 ± 0.04 | 0.95 ± 0.12 | 0.08 ± 0.03 | 0.25 ± 0.06 | 81 | 0.64 | 1.62 | 0.77 | 0.004 | 0.74 | 0.961 | N |
| g − k | 0.55 ± 0.14 | 1.19 ± 0.30 | 0.12 ± 0.09 | 0.49 ± 0.12 | 81 | 0.79 | 1.79 | –0.35 | 0.026 | 0.70 | 0.378 | Y? |
| r − i | 0.22 ± 0.02 | 0.29 ± 0.03 | 0.03 ± 0.01 | 0.06 ± 0.01 | 82 | 0.68 | 1.41 | 0.42 | 0.075 | 0.83 | 0.895 | N |
| j − k | –0.37 ± 0.06 | –0.03 ± 0.08 | 0.18 ± 0.03 | 0.05 ± 0.04 | 82 | 0.10 | 2.53 | –0.45 | 0.226 | 0.42 | 0.271 | N |
| Without the red GCs | ||||||||||||
| g − i | 0.67 ± 0.05 | 0.87 ± 0.05 | 0.07 ± 0.02 | 0.09 ± 0.02 | 76 | 0.61 | 2.39 | –0.70 | 0.444 | 0.48 | 0.086 | N |
| u − i | 1.94 ± 0.06 | 2.36 ± 0.04 | 0.18 ± 0.03 | 0.11 ± 0.03 | 78 | 0.43 | 2.77 | –0.91 | 0.024 | 0.31 | 0.013 | Y |
| u − r | 1.71 ± 0.06 | 2.07 ± 0.03 | 0.17 ± 0.03 | 0.08 ± 0.03 | 77 | 0.41 | 2.67 | –0.97 | 0.005 | 0.34 | 0.006 | Y |
| i − k | 0.04 ± 0.09 | 0.56 ± 0.13 | 0.23 ± 0.06 | 0.13 ± 0.06 | 74 | 0.23 | 2.80 | –0.70 | 0.208 | 0.32 | 0.081 | Y? |
| r − j | 0.70 ± 0.04 | 1.07 ± 0.08 | 0.13 ± 0.03 | 0.07 ± 0.04 | 74 | 0.25 | 3.47 | –0.95 | 0.004 | 0.14 | 0.012 | Y |
| g − k | 0.82 ± 0.12 | 1.51 ± 0.17 | 0.32 ± 0.10 | 0.14 ± 0.09 | 73 | 0.19 | 2.83 | –0.85 | 0.136 | 0.29 | 0.032 | Y? |
| r − i | 0.23 ± 0.01 | 0.32 ± 0.01 | 0.04 ± 0.01 | 0.01 ± 0.01 | 74 | 0.25 | 3.10 | –0.97 | 0.004 | 0.22 | 0.011 | Y |
| j − k | –0.44 ± 0.10 | –0.22 ± 0.06 | 0.15 ± 0.04 | 0.09 ± 0.03 | 72 | 0.26 | 1.74 | –0.35 | 0.705 | 0.71 | 0.395 | N |
Columns list: (1) color; (2, 3) mean and uncertainty of the first and second peaks in the double-Gaussian model; (4, 5) width and uncertainty of the first and second peaks; (6) number of GC candidates selected; (7) fraction of GC candidates associated with the second, red, peak; (8) separation of the peaks in units of the two Gaussian widths; (9) kurtosis of the distribution (DD ≥ 2 and negative kurtosis are required for significative split between thetwo Gaussian distributions); (10–12) GMM p-values based on the likelihood-ratio test p(χ2), peak separation p(DD), and kurtosis p(kurt), indicating the significance of the preference for a double-Gaussian over a single-Gaussian model (lower p-values are more significant); (13) assessment of the evidence for bimodality.
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