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Table 3

Anderson-Darling (A-D) statistical test results for Mg/Si and C/O elemental ratio distributions for stars with and without planetary companions.

A-DWhole sampleLow mass$\[\text {A-D}_{\text {Whole sample}}^{\text {Low mass}}\]$ A-DThin discLow mass$\[\text {A-D}_{\text {Thin disc}}^{\text {Low mass}}\]$ ADWhole sampleHigh mass$\[\text{AD}_{\text {Whole sample}}^{\text {High mass}}\]$ A-DThin discHigh mass$\[\text{A-D}_{\text {Thin disc}}^{\text {High mass}}\]$




Statistic p-value Statistic p-value Statistic p-value Statistic p-value
C/OD 0.42 0.22 −0.45 ≥0.25 1.71 0.06 1.07 0.12
C/OG 4.19 0.01 3.72 0.01
N/OG −0.56 ≥0.25 1.20 0.10
A(C+N+O)G 1.15 0.11 4.41 0.01
Mg/Si −0.42 ≥0.25 0.32 ≥0.25 29.82 ≤0.001 24.87 ≤0.001

Two-sided A-D statistics test values validated through 1000 bootstrap resampling.

C/OD 1.64 0.14 0.70 0.18 3.00 0.09 2.45 0.10
C/OG 5.72 0.02 5.31 0.03
N/OG 0.76 0.17 2.35 0.09
A(C+N+O)G 2.35 0.10 5.84 0.03
Mg/Si 0.87 0.17 1.95 0.13 31.17 ≤0.001 26.15 ≤0.001

Notes. The critical value of a 5% significance level for the A-D statistics is determined to be 1.961. The elemental C/O and N/O ratios in dwarfs are inconclusive, and no results are presented.

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