\begin{longtable}[t]{llllllllll|>{}llll} \caption{\label{tab:model-selection}Filtered block recovery and model selection proportions}\\ \toprule \multicolumn{2}{c}{ } & \multicolumn{8}{c}{Block number recovery} & \multicolumn{4}{c}{Model selection proportions} \\ \cmidrule(l{3pt}r{3pt}){3-10} \cmidrule(l{3pt}r{3pt}){11-14} \multicolumn{2}{c}{ } & \multicolumn{2}{c}{$iid$} & \multicolumn{2}{c}{$\pi$} & \multicolumn{2}{c}{$\rho$} & \multicolumn{2}{c}{$\pi\rho$} & \multicolumn{4}{c}{ } \\ \cmidrule(l{3pt}r{3pt}){3-4} \cmidrule(l{3pt}r{3pt}){5-6} \cmidrule(l{3pt}r{3pt}){7-8} \cmidrule(l{3pt}r{3pt}){9-10} $\epsilon_{\pi}$ & $\epsilon_{\rho}$ & $\mathbbb{1}_{\widehat{Q_1}_{iid}=3}$ & $\mathbbb{1}_{\widehat{Q_2}_{iid}=3}$ & $\mathbbb{1}_{\widehat{Q_1}_{\pi}=3}$ & $\mathbbb{1}_{\widehat{Q_2}_{\pi}=3}$ & $\mathbbb{1}_{\widehat{Q_1}_{\rho}=3}$ & $\mathbbb{1}_{\widehat{Q_2}_{\rho}=3}$ & $\mathbbb{1}_{\widehat{Q_1}_{\pi\rho}=3}$ & $\mathbbb{1}_{\widehat{Q_2}_{\pi\rho}=3}$ & $iid$ & $\pi$ & $\rho$ & $\pi\rho$\\ \midrule \endfirsthead \caption[]{Filtered block recovery and model selection proportions \textit{(continued)}}\\ \toprule \multicolumn{2}{c}{ } & \multicolumn{8}{c}{Block number recovery} & \multicolumn{4}{c}{Model selection proportions} \\ \cmidrule(l{3pt}r{3pt}){3-10} \cmidrule(l{3pt}r{3pt}){11-14} \multicolumn{2}{c}{ } & \multicolumn{2}{c}{$iid$} & \multicolumn{2}{c}{$\pi$} & \multicolumn{2}{c}{$\rho$} & \multicolumn{2}{c}{$\pi\rho$} & \multicolumn{4}{c}{ } \\ \cmidrule(l{3pt}r{3pt}){3-4} \cmidrule(l{3pt}r{3pt}){5-6} \cmidrule(l{3pt}r{3pt}){7-8} \cmidrule(l{3pt}r{3pt}){9-10} $\epsilon_{\pi}$ & $\epsilon_{\rho}$ & $\mathbbb{1}_{\widehat{Q_1}_{iid}=3}$ & $\mathbbb{1}_{\widehat{Q_2}_{iid}=3}$ & $\mathbbb{1}_{\widehat{Q_1}_{\pi}=3}$ & $\mathbbb{1}_{\widehat{Q_2}_{\pi}=3}$ & $\mathbbb{1}_{\widehat{Q_1}_{\rho}=3}$ & $\mathbbb{1}_{\widehat{Q_2}_{\rho}=3}$ & $\mathbbb{1}_{\widehat{Q_1}_{\pi\rho}=3}$ & $\mathbbb{1}_{\widehat{Q_2}_{\pi\rho}=3}$ & $iid$ & $\pi$ & $\rho$ & $\pi\rho$\\ \midrule \endhead \endfoot \bottomrule \endlastfoot & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{1} & & & \\ \cmidrule{2-14}\nopagebreak & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{1} & & & \\ \cmidrule{2-14}\nopagebreak & 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.981} & 0.019 & & \\ \cmidrule{2-14}\nopagebreak & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.944} & 0.056 & & \\ \cmidrule{2-14}\nopagebreak & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.833} & 0.157 & 0.009 & \\ \cmidrule{2-14}\nopagebreak & 0.175 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.556} & 0.444 & & \\ \cmidrule{2-14}\nopagebreak & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.361 & \textbf{0.639} & & \\ \cmidrule{2-14}\nopagebreak & 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.102 & \textbf{0.898} & & \\ \cmidrule{2-14}\nopagebreak \multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.000} & 0.280 & 1 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 0.009 & \textbf{0.991} & & \\ \cmidrule{1-14}\pagebreak[0] & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{1} & & & \\ \cmidrule{2-14}\nopagebreak & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.991} & 0.009 & & \\ \cmidrule{2-14}\nopagebreak & 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.991} & 0.009 & & \\ \cmidrule{2-14}\nopagebreak & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.917} & 0.083 & & \\ \cmidrule{2-14}\nopagebreak & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.843} & 0.157 & & \\ \cmidrule{2-14}\nopagebreak & 0.175 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.657} & 0.333 & 0.009 & \\ \cmidrule{2-14}\nopagebreak & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.315 & \textbf{0.685} & & \\ \cmidrule{2-14}\nopagebreak & 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.176 & \textbf{0.824} & & \\ \cmidrule{2-14}\nopagebreak \multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.035} & 0.280 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.028 & \textbf{0.972} & & \\ \cmidrule{1-14}\pagebreak[0] & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.972} & & 0.028 & \\ \cmidrule{2-14}\nopagebreak & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.963} & 0.009 & 0.028 & \\ \cmidrule{2-14}\nopagebreak & 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.917} & 0.065 & 0.019 & \\ \cmidrule{2-14}\nopagebreak & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.917} & 0.065 & 0.019 & \\ \cmidrule{2-14}\nopagebreak & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.824} & 0.157 & 0.009 & 0.009\\ \cmidrule{2-14}\nopagebreak & 0.175 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.565} & 0.426 & & 0.009\\ \cmidrule{2-14}\nopagebreak & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.343 & \textbf{0.639} & 0.009 & 0.009\\ \cmidrule{2-14}\nopagebreak & 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.991} & 1 & 0.139 & \textbf{0.843} & & 0.019\\ \cmidrule{2-14}\nopagebreak \multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.070} & 0.280 & 1 & 1 & 1 & 1 & \textbf{0.991} & 1 & 1 & 1 & & \textbf{0.963} & & 0.037\\ \cmidrule{1-14}\pagebreak[0] & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.963} & & 0.037 & \\ \cmidrule{2-14}\nopagebreak & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.898} & 0.019 & 0.083 & \\ \cmidrule{2-14}\nopagebreak & 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.926} & 0.009 & 0.065 & \\ \cmidrule{2-14}\nopagebreak & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.935} & 0.056 & 0.009 & \\ \cmidrule{2-14}\nopagebreak & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.778} & 0.157 & 0.065 & \\ \cmidrule{2-14}\nopagebreak & 0.175 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.657} & 0.296 & 0.028 & 0.019\\ \cmidrule{2-14}\nopagebreak & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.324 & \textbf{0.611} & 0.037 & 0.028\\ \cmidrule{2-14}\nopagebreak & 0.245 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.185 & \textbf{0.750} & 0.009 & 0.056\\ \cmidrule{2-14}\nopagebreak \multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.105} & 0.280 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.046 & \textbf{0.917} & & 0.037\\ \cmidrule{1-14}\pagebreak[0] & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.815} & & 0.185 & \\ \cmidrule{2-14}\nopagebreak & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.741} & 0.009 & 0.250 & \\ \cmidrule{2-14}\nopagebreak & 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.861} & & 0.139 & \\ \cmidrule{2-14}\nopagebreak & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.759} & 0.056 & 0.185 & \\ \cmidrule{2-14}\nopagebreak & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.667} & 0.157 & 0.157 & 0.019\\ \cmidrule{2-14}\nopagebreak & 0.175 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.583} & 0.269 & 0.046 & 0.102\\ \cmidrule{2-14}\nopagebreak & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.278 & \textbf{0.546} & 0.065 & 0.111\\ \cmidrule{2-14}\nopagebreak & 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.111 & \textbf{0.704} & 0.037 & 0.148\\ \cmidrule{2-14}\nopagebreak \multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.140} & 0.280 & 1 & \textbf{0.991} & 1 & 1 & \textbf{0.991} & 1 & 1 & 1 & 0.028 & \textbf{0.852} & 0.009 & 0.111\\ \cmidrule{1-14}\pagebreak[0] & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.630} & & 0.370 & \\ \cmidrule{2-14}\nopagebreak & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.694} & & 0.306 & \\ \cmidrule{2-14}\nopagebreak & 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.528} & 0.009 & 0.444 & 0.019\\ \cmidrule{2-14}\nopagebreak & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.574} & 0.028 & 0.389 & 0.009\\ \cmidrule{2-14}\nopagebreak & 0.140 & 1 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.556} & 0.130 & 0.250 & 0.065\\ \cmidrule{2-14}\nopagebreak & 0.175 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.991} & 1 & \textbf{0.417} & 0.167 & 0.231 & 0.185\\ \cmidrule{2-14}\nopagebreak & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.250 & \textbf{0.380} & 0.157 & 0.213\\ \cmidrule{2-14}\nopagebreak & 0.245 & 1 & 1 & 1 & 1 & \textbf{0.991} & 1 & 1 & 1 & 0.102 & \textbf{0.463} & 0.019 & 0.417\\ \cmidrule{2-14}\nopagebreak \multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.175} & 0.280 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & & \textbf{0.694} & 0.009 & 0.296\\ \cmidrule{1-14}\pagebreak[0] & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.361 & & \textbf{0.639} & \\ \cmidrule{2-14}\nopagebreak & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.343 & & \textbf{0.657} & \\ \cmidrule{2-14}\nopagebreak & 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.370 & 0.009 & \textbf{0.611} & 0.009\\ \cmidrule{2-14}\nopagebreak & 0.105 & \textbf{0.991} & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 0.287 & 0.009 & \textbf{0.648} & 0.056\\ \cmidrule{2-14}\nopagebreak & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.361 & 0.083 & \textbf{0.481} & 0.074\\ \cmidrule{2-14}\nopagebreak & 0.175 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.278 & 0.167 & \textbf{0.361} & 0.194\\ \cmidrule{2-14}\nopagebreak & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.157 & 0.231 & 0.176 & \textbf{0.435}\\ \cmidrule{2-14}\nopagebreak & 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.028 & 0.380 & 0.093 & \textbf{0.500}\\ \cmidrule{2-14}\nopagebreak \multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.210} & 0.280 & 1 & \textbf{0.991} & 1 & \textbf{0.991} & 1 & 1 & 1 & 1 & & 0.333 & 0.037 & \textbf{0.630}\\ \cmidrule{1-14}\pagebreak[0] & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.148 & & \textbf{0.852} & \\ \cmidrule{2-14}\nopagebreak & 0.035 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.194 & & \textbf{0.796} & 0.009\\ \cmidrule{2-14}\nopagebreak & 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.176 & & \textbf{0.824} & \\ \cmidrule{2-14}\nopagebreak & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.139 & 0.009 & \textbf{0.778} & 0.074\\ \cmidrule{2-14}\nopagebreak & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.120 & 0.037 & \textbf{0.657} & 0.185\\ \cmidrule{2-14}\nopagebreak & 0.175 & 1 & 1 & 1 & 1 & \textbf{0.991} & 1 & 1 & 1 & 0.139 & 0.093 & \textbf{0.509} & 0.259\\ \cmidrule{2-14}\nopagebreak & 0.210 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.028 & 0.093 & 0.370 & \textbf{0.509}\\ \cmidrule{2-14}\nopagebreak & 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.009 & 0.102 & 0.102 & \textbf{0.787}\\ \cmidrule{2-14}\nopagebreak \multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.245} & 0.280 & \textbf{0.991} & 1 & 1 & 1 & \textbf{0.991} & 1 & 1 & 1 & 0.009 & 0.148 & 0.019 & \textbf{0.824}\\ \cmidrule{1-14}\pagebreak[0] & 0.000 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & \textbf{0.991} & 1 & 0.009 & & \textbf{0.991} & \\ \cmidrule{2-14}\nopagebreak & 0.035 & \textbf{0.981} & 1 & 1 & 1 & 1 & 1 & 1 & 1 & & & \textbf{0.981} & 0.019\\ \cmidrule{2-14}\nopagebreak & 0.070 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.037 & & \textbf{0.954} & 0.009\\ \cmidrule{2-14}\nopagebreak & 0.105 & \textbf{0.991} & \textbf{0.991} & 1 & \textbf{0.991} & 1 & 1 & 1 & \textbf{0.991} & 0.028 & 0.009 & \textbf{0.889} & 0.074\\ \cmidrule{2-14}\nopagebreak & 0.140 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & \textbf{0.991} & 1 & 0.019 & & \textbf{0.889} & 0.093\\ \cmidrule{2-14}\nopagebreak & 0.175 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 1 & & & \textbf{0.602} & 0.398\\ \cmidrule{2-14}\nopagebreak & 0.210 & 0.981 & 1 & 1 & 1 & 1 & 1 & \textbf{0.972} & 1 & 0.009 & & 0.324 & \textbf{0.667}\\ \cmidrule{2-14}\nopagebreak & 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.991} & 1 & 0.009 & 0.009 & 0.194 & \textbf{0.787}\\ \cmidrule{2-14}\nopagebreak \multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.280} & 0.280 & 1 & \textbf{0.991} & 1 & 1 & 1 & 1 & \textbf{0.991} & 1 & & 0.019 & 0.046 & \textbf{0.935}\\* \end{longtable}