Table 4.
Correlation between parameters in the posterior distribution.
| θ1 | θ2 | r | p | a | b | ω (°) |
|---|---|---|---|---|---|---|
| (1) | (2) | (3) | (4) | (5) | (6) | (7) |
| Γb | Age (Gyr) | −0.63 ± 0.15 | 0.00 ± 0.00 | 3.25 ± 0.88 | 0.56 ± 0.38 | −80.22 ± 3.60 |
| [Z/H] | Age (Gyr) | −0.50 ± 0.22 | 0.00 ± 0.05 | 3.21 ± 0.86 | 0.08 ± 0.06 | −89.05 ± 0.60 |
| Γb | [Z/H] | 0.35 ± 0.24 | 0.00 ± 0.10 | 0.76 ± 0.45 | 0.08 ± 0.07 | 2.61 ± 1.92 |
| [Na/Fe] | [α/Fe] | 0.30 ± 0.13 | 0.00 ± 0.15 | 0.21 ± 0.09 | 0.07 ± 0.05 | 7.44 ± 3.46 |
| Γb | [α/Fe] | −0.22 ± 0.16 | 0.00 ± 0.20 | 0.75 ± 0.45 | 0.07 ± 0.05 | −1.48 ± 1.06 |
| Γb | [Na/Fe] | −0.21 ± 0.15 | 0.00 ± 0.19 | 0.76 ± 0.45 | 0.20 ± 0.09 | −3.51 ± 2.57 |
| [Na/Fe] | [Z/H] | −0.15 ± 0.16 | 0.01 ± 0.26 | 0.21 ± 0.09 | 0.09 ± 0.07 | −4.45 ± 11.72 |
| Age (Gyr) | [Na/Fe] | 0.07 ± 0.16 | 0.07 ± 0.26 | 3.21 ± 0.85 | 0.21 ± 0.09 | 0.29 ± 0.65 |
| σ* (km s−1) | [Na/Fe] | 0.05 ± 0.13 | 0.12 ± 0.29 | 20.54 ± 39.83 | 0.21 ± 0.09 | 0.02 ± 0.08 |
| Age (Gyr) | [α/Fe] | −0.04 ± 0.18 | 0.02 ± 0.24 | 3.21 ± 0.85 | 0.07 ± 0.05 | −0.06 ± 0.30 |
| Γb | σ* (km s−1) | −0.04 ± 0.14 | 0.11 ± 0.31 | 20.54 ± 39.83 | 0.75 ± 0.44 | −89.94 ± 0.29 |
| [Z/H] | σ* (km s−1) | 0.04 ± 0.15 | 0.08 ± 0.30 | 20.54 ± 39.83 | 0.09 ± 0.07 | −90.01 ± 0.05 |
| σ* (km s−1) | Age (Gyr) | 0.03 ± 0.15 | 0.11 ± 0.30 | 20.55 ± 39.82 | 3.11 ± 0.86 | 0.10 ± 1.59 |
| σ* (km s−1) | [α/Fe] | 0.03 ± 0.10 | 0.29 ± 0.31 | 20.54 ± 39.83 | 0.07 ± 0.05 | 0.01 ± 0.02 |
| [α/Fe] | [Z/H] | −0.02 ± 0.20 | 0.01 ± 0.29 | 0.10 ± 0.07 | 0.07 ± 0.05 | −73.51 ± 35.18 |
Notes. Representative values are the median of all spectra in the sample, and uncertainties are the standard deviation of all measurements. (1–2) Pair of stellar population parameters considered. (3) Pearson’s r correlation coefficient. (4) p-value relative to the correlation. (5) Semi-major axis length (1σ) of the covariance ellipse. (6) Semi-minor axis length (1σ) of the covariance ellipse. (7) Angle of the semi-major axis in relation to θ1.
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