\begin{table}%t10 \caption{\label{table:logitres_10 columns}Results of the logit analysis for the fiducial model with 50~000 model planets and 31 observations.} \small %\centering \begin{tabular}{cccccccccccc} \hline \hline & & All variables & \multicolumn{9}{c}{Missing variable} \\ & & & {\rm [Fe/H]} & $T_{\rm eff}$ & $R_{\star}$ & $M_{\star}$ & $P$ & $R_{\rm p}$ & $M_{\rm p}$ & $\theta$ & $T_{\rm eq}$ \\ \noalign{\smallskip} \hline\noalign{\smallskip} {\rm [Fe/H]} & ${\hat b}_{{\rm [Fe/H]}}$ & 0.415 & & 0.435 & 0.413 & 0.430 & 0.421 & 0.229 & 0.385 & 0.371 & 0.369 \\ & ${\cal P}_{{\rm [Fe/H]}}$ & [0.164] & & [0.148] & [0.164] & [0.150] & [0.157] & [0.242] & [0.177] & [0.196] & [0.182] \\ $T_{\rm eff}$ & ${\hat b}_{T_{\rm eff}}$ & --0.517 & --0.579 & & --0.541 & --0.191 & --0.569 & --0.563 & --0.541 & --0.537 & --0.618 \\ & ${\cal P}_{T_{\rm eff}}$ & [0.417] & [0.366] & & [0.372] & [0.601] & [0.355] & [0.378] & [0.391] & [0.395] & [0.298] \\ $R_{\star}$ & ${\hat b}_{R_{\rm {\star}}}$ & 0.059 & 0.046 & 0.190 & & 0.212 & --0.009 & 0.061 & 0.027 & 0.023 & --0.063 \\ & ${\cal P}_{R_{\rm {\star}}}$ & [0.901] & [0.924] & [0.681] & & [0.609] & [0.984] & [0.898] & [0.953] & [0.961] & [0.871] \\ $M_{\star}$ & ${\hat b}_{M_{\rm {\star}}}$ & 0.467 & 0.541 & --0.001 & 0.511 & & 0.472 & 0.524 & 0.483 & 0.486 & 0.497 \\ & ${\cal P}_{M_{\rm {\star}}}$ & [0.528] & [0.468] & [0.998] & [0.433] & & [0.523] & [0.481] & [0.512] & [0.508] & [0.499] \\ $P$ & ${\hat b}_{P}$ & --0.236 & --0.288 & --0.425 & --0.199 & --0.250 & & --0.281 & --0.269 & --0.356 & --0.070 \\ & ${\cal P}_{P}$ & [0.746] & [0.698] & [0.605] & [0.754] & [0.737] & & [0.706] & [0.708] & [0.618] & [0.883] \\ $R_{\rm p}$ & ${\hat b}_{R_{\rm p}}$ & 0.305 & --0.069 & 0.331 & 0.305 & 0.328 & 0.316 & & 0.261 & 0.246 & 0.241 \\ & ${\cal P}_{R_{\rm p}}$ & [0.370] & [0.778] & [0.332] & [0.370] & [0.336] & [0.352] & & [0.416] & [0.456] & [0.443] \\ $M_{\rm p}$ & ${\hat b}_{M_{\rm p}}$ & 0.329 & --0.032 & 0.432 & 0.306 & 0.379 & 0.386 & 0.055 & & --0.229 & 0.118 \\ & ${\cal P}_{M_{\rm p}}$ & [0.726] & [0.968] & [0.656] & [0.737] & [0.693] & [0.674] & [0.947] & & [0.474] & [0.876] \\ $\theta$ & ${\hat b}_{\theta}$ & --0.904 & --0.496 & --1.005 & --0.879 & --0.971 & --1.049 & --0.625 & --0.422 & & --0.653 \\ & ${\cal P}_{\theta}$ & [0.563] & [0.706] & [0.540] & [0.567] & [0.548] & [0.497] & [0.658] & [0.410] & & [0.620] \\ $T_{\rm eq}$ & ${\hat b}_{T_{\rm eq}}$ & --0.296 & --0.023 & --0.520 & --0.250 & --0.339 & --0.169 & --0.089 & --0.186 & --0.150 & \\ & ${\cal P}_{T_{\rm eq}}$ & [0.648] & [0.970] & [0.414] & [0.635] & [0.605] & [0.744] & [0.882] & [0.742] & [0.801] & \\ \multicolumn{12}{c}{overall assessment of the fit} \\ \multicolumn{2}{c}{Log likelihood} & --257.059 & --258.123 & --257.410 & --257.066 & --257.275 & --257.129 & --257.439 & --257.126 & --257.316 & --257.171 \\ \multicolumn{2}{c}{$c_{\rm LL}$} & 5.821 & 3.692 & 5.119 & 5.805 & 5.389 & 5.681 & 5.060 & 5.687 & 5.307 & 5.597 \\ \multicolumn{2}{c}{${\cal{P}}_{\chi^2}$} & 0.758 & 0.884 & 0.745 & 0.669 & 0.715 & 0.683 & 0.751 & 0.682 & 0.724 & 0.692 \\ \noalign{\smallskip}\hline \end{tabular} \end{table}