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Table 4.

Kendall τ correlation coefficients and the p-values between the radio spectral index ( α 6 GHz 3 GHz $ \alpha^{\mathrm{3\,GHz}}_{\mathrm{6\,GHz}} $) versus f esc LyC $ f_{\mathrm{esc}}^{\mathrm{LyC}} $ and different physical properties of LzLCS sample.

α 6 GHz 3 GHz $ \alpha^{\mathrm{3\,GHz}}_{\mathrm{6\,GHz}} $
τ pval
f esc LyC $ f_{\mathrm{esc}}^{\mathrm{LyC}} $(UV-fit) ( * ) +0.395 (0.285) 1.220 × 10−2 (5.723 × 10−2)
f esc LyC $ f_{\mathrm{esc}}^{\mathrm{LyC}} $(Hβ) ( * ) +0.381 (0.261) 1.57 × 10−2 (8.132 × 10−2)
β1550 −0.419 7.876 × 10−3
log10O32 +0.448 4.532 × 10−3
log10ΣSFR(Hβ) +0.286 7.001 × 10−2
log10M*/M −0.410 9.406 × 10−3

Notes. ( * )Here, we take into account the upper limits on f esc LyC $ f_{\mathrm{esc}}^{\mathrm{LyC}} $ (following Akritas & Siebert 1996) with the same approach as described in Flury et al. (2022b). The τ values are estimated after removing the two outliers and the values in the bracket are including the outliers. The typical uncertainty in τ is ±0.11.

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