\begin{table}%t11 \caption{\label{table:logitres_altered}Results of the logit analysis for the altered model ($R_{\rm p}$ increased by 10\%) 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]} & ${\hat b}_{{\rm [Fe/H]}}$ & --0.738 & & --0.740 & --0.737 & --0.737 & --0.733 & 0.224 & --0.607 & --0.728 & --0.664 \\ & ${\cal P}_{{\rm [Fe/H]}}$ & [0.002] & & [0.002] & [0.002] & [0.002] & [0.002] & [0.251] & [0.009] & [0.002] & [0.005] \\ $T_{\rm eff}$ & ${\hat b}_{T_{\rm eff}}$ & --0.729 & --0.713 & & --0.742 & --0.255 & --0.819 & --0.573 & --0.545 & --0.739 & --0.308 \\ & ${\cal P}_{T_{\rm eff}}$ & [0.260] & [0.268] & & [0.231] & [0.483] & [0.192] & [0.366] & [0.404] & [0.256] & [0.618] \\ $R_{\star}$ & ${\hat b}_{R_{\rm {\star}}}$ & 0.032 & 0.013 & 0.197 & & 0.247 & --0.091 & 0.032 & 0.237 & 0.018 & 0.558 \\ & ${\cal P}_{R_{\rm {\star}}}$ & [0.945] & [0.978] & [0.661] & & [0.540] & [0.828] & [0.945] & [0.620] & [0.970] & [0.149] \\ $M_{\star}$ & ${\hat b}_{M_{\rm {\star}}}$ & 0.677 & 0.650 & 0.017 & 0.702 & & 0.684 & 0.532 & 0.557 & 0.667 & 0.598 \\ & ${\cal P}_{M_{\rm {\star}}}$ & [0.370] & [0.388] & [0.966] & [0.291] & & [0.363] & [0.472] & [0.461] & [0.377] & [0.430] \\ $P$ & ${\hat b}_{\rm P}$ & --0.417 & --0.356 & --0.664 & --0.395 & --0.432 & & --0.366 & --0.393 & --0.249 & --1.706 \\ & ${\cal P}_{\rm P}$ & [0.585] & [0.618] & [0.421] & [0.565] & [0.575] & & [0.622] & [0.641] & [0.716] & [0.037] \\ $R_{\rm p}$ & ${\hat b}_{R_{\rm p}}$ & --1.986 & --1.264 & --1.974 & --1.986 & --1.985 & --1.995 & & --1.763 & --1.973 & --1.796 \\ & ${\cal P}_{R_{\rm p}}$ & [0.000] & [0.000] & [0.000] & [0.000] & [0.000] & [0.000] & & [0.000] & [0.000] & [0.000] \\ $M_{\rm p}$ & ${\hat b}_{M_{\rm p}}$ & --1.359 & --0.894 & --1.350 & --1.359 & --1.354 & --1.305 & --0.328 & & --1.150 & --1.045 \\ & ${\cal P}_{M_{\rm p}}$ & [0.001] & [0.019] & [0.002] & [0.001] & [0.001] & [0.001] & [0.558] & & [0.001] & [0.052] \\ $\theta$ & ${\hat b}_{\theta}$ & 0.384 & 0.271 & 0.461 & 0.376 & 0.387 & 0.193 & 0.021 & --1.714 & & 0.338 \\ & ${\cal P}_{\theta}$ & [0.359] & [0.541] & [0.327] & [0.347] & [0.372] & [0.494] & [0.976] & [0.009] & & [0.633] \\ $T_{\rm eq}$ & ${\hat b}_{T_{\rm eq}}$ & 1.189 & 0.797 & 0.940 & 1.212 & 1.165 & 1.439 & --0.009 & 0.603 & 1.202 & \\ & ${\cal P}_{T_{\rm eq}}$ & [0.045] & [0.162] & [0.100] & [0.014] & [0.051] & [0.001] & [0.987] & [0.334] & [0.054] & \\ \multicolumn{12}{c}{overall assessment of the fit} \\ \multicolumn{2}{c}{Log likelihood} & --243.645 & --247.922 & --244.341 & --243.648 & --244.098 & --243.872 & --257.580 & --246.194 & --243.872 & --245.271 \\ \multicolumn{2}{c}{$c_{\rm LL}$} & 32.647 & 24.094 & 31.256 & 32.643 & 31.743 & 32.194 & 4.778 & 27.551 & 32.194 & 29.395 \\ \multicolumn{2}{c}{${\cal{P}}_{\chi^2}$} & 0.000 & 0.002 & 0.000 & 0.000 & 0.000 & 0.000 & 0.781 & 0.001 & 0.000 & 0.000 \\ \hline \end{tabular} \end{table}