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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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