How do wavelength correlations affect transmission spectra? Application of a new fast and flexible 2D Gaussian process framework to transiting exoplanet spectroscopy

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Volume 686 (June 2024)

A&A, 686 (2024) A89

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Table G.1

Explanation of the tables that report the results for each set of simulations.

Statistic	Explanation
$χ_{r}^{2}$ $\[\chi_{\mathrm{r}}^2\]$ K-S Stat.	K-S statistic of the chi-squared values: Are the retrieved transmission spectra consistent within errors to the simulated values? Should be <0.072 to 99% confidence.
${\bar{χ}}_{r}^{2}$ $\[\bar{\chi}_r^2\]$	Mean chi-squared value: Are the transmission spectrum uncertainties accurately sized (=1), too large (<1) or too small (>1)?
$s^{2} (χ_{r}^{2})$ $\[s^2\left(\chi_{\mathrm{r}}^2\right)\]$	Sample variance of chi-squared values: Are the transmission spectrum uncertainties distributed accurately (≈0.125) or is it likely there are outliers present (>0.15)?
${\bar{σ}}_{ρ}$ $\[\bar{\sigma}_\rho\]$	Mean standard deviation of the retrieved radius ratio.
s²(Z_ρ)	Sample variance of radius ratio Z-scores: Are the radius ratio uncertainties accurate (=1), too large (<1) or too small (>1)?
${\bar{σ}}_{m}$ $\[\bar{\sigma}_m\]$	Mean standard deviation of the slope.
s²(Z_m)	Sample variance of slope Z-scores: Are the slope uncertainties accurate (=0), too large (<1) or too small (>1)?
${\bar{σ}}_{Δ ρ_{K}}$ $\[\bar{\sigma}_{\Delta \rho_{\mathrm{K}}}\]$	Mean standard deviation of the change in radius ratio at the K feature.
$s^{2} (Z_{Δ ρ_{K}})$ $\[s^2\left(Z_{\Delta \rho_{\mathrm{K}}}\right)\]$	Sample variance of K feature Z-scores: Are the uncertainties in the change of radius at the K feature accurate (=1), too large (<1) or too small (>1)?

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