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Table 2

Slopes of the [X/H] vs. Tc for different pairs of spectra.

Star – reference WLS (all elements) Bayesian (all elements) WLS (refractories) Bayesian (refractories)
Slope± σ 95% CI P(F-stat) Slope 95% HPD Slope± σ 95% CI P(F-stat) Slope 95% HPD

ζ1 Ret_comb – Sun 1.32 ± 2.28 [6.04, 3.40] 0.567 1.32 [2.11, 0.46] 5.40 ± 4.37 [3.78, 14.58] 0.232 5.37 [3.75, 6.99]
ζ1 Ret_S16 – Sun 3.83 ± 3.92 [11.96, 4.30] 0.339 3.83 [5.67, 1.75] 0.99 ± 5.84 [13.25, 11.28] 0.868 1.01 [3.56, 1.75]
ζ2 Ret_comb – Sun 5.95 ± 2.66 [11.46, 0.44] 0.036 5.95 [6.93, 4.84] 1.81 ± 5.07 [12.45, 8.83] 0.725 1.81 [3.78, 0.02]
ζ2 Ret_S16 – Sun 7.68 ± 3.19 [14.30, 1.07] 0.025 7.68 [9.22, 6.12] 7.16 ± 6.89 [21.63, 7.31] 0.312 7.19 [10.22, 4.26]
ζ1 Ret_comb – ζ2 Ret_comb 3.41 ± 1.23 [0.86, 5.96] 0.011 3.41 [4.27, 2.52] 4.88 ± 2.16 [0.35, 9.41] 0.036 4.88 [3.45, 6.29]
ζ1 Ret_S16 – ζ2 Ret_S16 3.77 ± 2.16 [0.71, 8.25] 0.095 3.79 [5.37, 2.00] 4.83 ± 3.42 [2.34, 12.01] 0.174 4.86 [2.52, 7.31]
ζ1 Ret_b – ζ1 Ret_a 2.35 ± 2.21 [2.24, 6.94] 0.300 2.34 [1.17, 3.62] 4.83 ± 2.83 [1.12, 10.77] 0.105 4.83 [3.34, 6.44]
ζ1 Ret_c – ζ1 Ret_a 0.14 ± 0.84 [1.89, 1.61] 0.867 0.14 [1.30, 0.99] 0.22 ± 1.40 [3.16, 2.73] 0.880 0.21 [1.91, 1.59]
ζ1 Ret_c – ζ1 Ret_b 1.13 ± 0.76 [0.45, 2.70] 0.153 1.13 [0.24, 2.00] 0.28 ± 0.90 [2.18, 1.61] 0.759 0.28 [1.45, 0.80]
ζ2 Ret_b – ζ2 Ret_a 1.60 ± 0.79 [3.24, 0.04] 0.055 1.61 [3.09, 0.18] 1.67 ± 1.04 [3.84, 0.51] 0.125 1.68 [3.43, 0.12]
ζ2 Ret_c – ζ2 Ret_a 1.36 ± 0.76 [2.94, 0.22] 0.087 1.35 [2.59, 0.17] 0.35 ± 0.94 [2.33, 1.63] 0.714 0.37 [2.16, 1.32]
ζ2 Ret_c – ζ2 Ret_b 1.86 ± 1.06 [4.05, 0.33] 0.092 1.86 [3.24, 0.44] 0.72 ± 1.37 [2.15, 3.59] 0.603 0.70 [1.52, 3.09]

Notes. Both frequentist and Bayesian approaches are chosen to derive the slopes and their uncertainties. The units of the slopes are in 10-5 dex K-1.

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