
\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{0.991} & 0.009 &  & \\
\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{0.917} &  & 0.083 & \\
\cmidrule{2-14}\nopagebreak
 & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.815} &  & 0.185 & \\
\cmidrule{2-14}\nopagebreak
 & 0.175 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.676} &  & 0.324 & \\
\cmidrule{2-14}\nopagebreak
 & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.361 &  & \textbf{0.630} & 0.009\\
\cmidrule{2-14}\nopagebreak
 & 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.111 &  & \textbf{0.889} & \\
\cmidrule{2-14}\nopagebreak
\multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.000} & 0.280 & 1 & 1 & 1 & \textbf{0.991} & 1 & 1 & 1 & 1 & 0.009 & 0.009 & \textbf{0.963} & 0.019\\
\cmidrule{1-14}\pagebreak[0]
 & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.981} & 0.009 & 0.009 & \\
\cmidrule{2-14}\nopagebreak
 & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.981} & 0.019 &  & \\
\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{0.935} &  & 0.065 & \\
\cmidrule{2-14}\nopagebreak
 & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.880} &  & 0.111 & 0.009\\
\cmidrule{2-14}\nopagebreak
 & 0.175 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.593} &  & 0.407 & \\
\cmidrule{2-14}\nopagebreak
 & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.454 &  & \textbf{0.546} & \\
\cmidrule{2-14}\nopagebreak
 & 0.245 & 1 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 0.157 &  & \textbf{0.843} & \\
\cmidrule{2-14}\nopagebreak
\multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.035} & 0.280 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.019 &  & \textbf{0.972} & 0.009\\
\cmidrule{1-14}\pagebreak[0]
 & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.991} & 0.009 &  & \\
\cmidrule{2-14}\nopagebreak
 & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.972} & 0.019 & 0.009 & \\
\cmidrule{2-14}\nopagebreak
 & 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.972} & 0.019 & 0.009 & \\
\cmidrule{2-14}\nopagebreak
 & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.880} & 0.056 & 0.065 & \\
\cmidrule{2-14}\nopagebreak
 & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.806} & 0.009 & 0.176 & 0.009\\
\cmidrule{2-14}\nopagebreak
 & 0.175 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.602} & 0.009 & 0.389 & \\
\cmidrule{2-14}\nopagebreak
 & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.324 &  & \textbf{0.648} & 0.028\\
\cmidrule{2-14}\nopagebreak
 & 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 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 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.019 &  & \textbf{0.963} & 0.019\\
\cmidrule{1-14}\pagebreak[0]
 & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.917} & 0.083 &  & \\
\cmidrule{2-14}\nopagebreak
 & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.917} & 0.065 & 0.019 & \\
\cmidrule{2-14}\nopagebreak
 & 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.935} & 0.056 & 0.009 & \\
\cmidrule{2-14}\nopagebreak
 & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.806} & 0.056 & 0.139 & \\
\cmidrule{2-14}\nopagebreak
 & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.815} & 0.028 & 0.139 & 0.019\\
\cmidrule{2-14}\nopagebreak
 & 0.175 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.657} & 0.009 & 0.315 & 0.019\\
\cmidrule{2-14}\nopagebreak
 & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.333 & 0.019 & \textbf{0.593} & 0.056\\
\cmidrule{2-14}\nopagebreak
 & 0.245 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.102 &  & \textbf{0.843} & 0.056\\
\cmidrule{2-14}\nopagebreak
\multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.105} & 0.280 & 1 & 1 & 1 & \textbf{0.991} & 1 & 1 & 1 & 1 & 0.037 &  & \textbf{0.935} & 0.028\\
\cmidrule{1-14}\pagebreak[0]
 & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.769} & 0.231 &  & \\
\cmidrule{2-14}\nopagebreak
 & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.796} & 0.194 & 0.009 & \\
\cmidrule{2-14}\nopagebreak
 & 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.806} & 0.176 & 0.019 & \\
\cmidrule{2-14}\nopagebreak
 & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.769} & 0.111 & 0.111 & 0.009\\
\cmidrule{2-14}\nopagebreak
 & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.657} & 0.120 & 0.194 & 0.028\\
\cmidrule{2-14}\nopagebreak
 & 0.175 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.435} & 0.111 & 0.370 & 0.083\\
\cmidrule{2-14}\nopagebreak
 & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.287 & 0.046 & \textbf{0.556} & 0.111\\
\cmidrule{2-14}\nopagebreak
 & 0.245 & \textbf{0.991} & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 0.083 & 0.037 & \textbf{0.731} & 0.148\\
\cmidrule{2-14}\nopagebreak
\multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.140} & 0.280 & \textbf{0.991} & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 0.019 & 0.009 & \textbf{0.833} & 0.139\\
\cmidrule{1-14}\pagebreak[0]
 & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.528} & 0.472 &  & \\
\cmidrule{2-14}\nopagebreak
 & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.685} & 0.315 &  & \\
\cmidrule{2-14}\nopagebreak
 & 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.620} & 0.370 &  & 0.009\\
\cmidrule{2-14}\nopagebreak
 & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.546} & 0.370 & 0.065 & 0.019\\
\cmidrule{2-14}\nopagebreak
 & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.546} & 0.287 & 0.046 & 0.120\\
\cmidrule{2-14}\nopagebreak
 & 0.175 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.407} & 0.204 & 0.194 & 0.194\\
\cmidrule{2-14}\nopagebreak
 & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.269 & 0.111 & \textbf{0.352} & 0.269\\
\cmidrule{2-14}\nopagebreak
 & 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.083 & 0.037 & \textbf{0.546} & 0.333\\
\cmidrule{2-14}\nopagebreak
\multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.175} & 0.280 & 1 & 0.991 & 1 & 1 & \textbf{0.981} & 1 & 1 & 1 & 0.009 &  & \textbf{0.731} & 0.259\\
\cmidrule{1-14}\pagebreak[0]
 & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.296 & \textbf{0.704} &  & \\
\cmidrule{2-14}\nopagebreak
 & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.370 & \textbf{0.620} &  & 0.009\\
\cmidrule{2-14}\nopagebreak
 & 0.070 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.343 & \textbf{0.657} &  & \\
\cmidrule{2-14}\nopagebreak
 & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.343 & \textbf{0.546} & 0.037 & 0.074\\
\cmidrule{2-14}\nopagebreak
 & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.259 & \textbf{0.565} & 0.028 & 0.148\\
\cmidrule{2-14}\nopagebreak
 & 0.175 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.167 & \textbf{0.454} & 0.185 & 0.194\\
\cmidrule{2-14}\nopagebreak
 & 0.210 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.148 & 0.269 & 0.176 & \textbf{0.407}\\
\cmidrule{2-14}\nopagebreak
 & 0.245 & \textbf{0.991} & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.037 & 0.065 & 0.324 & \textbf{0.574}\\
\cmidrule{2-14}\nopagebreak
\multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.210} & 0.280 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 &  &  & 0.417 & \textbf{0.583}\\
\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 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.157 & \textbf{0.843} &  & \\
\cmidrule{2-14}\nopagebreak
 & 0.070 & 1 & 1 & 1 & 1 & \textbf{0.991} & 1 & 1 & 1 & 0.148 & \textbf{0.852} &  & \\
\cmidrule{2-14}\nopagebreak
 & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.139 & \textbf{0.833} &  & 0.028\\
\cmidrule{2-14}\nopagebreak
 & 0.140 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.148 & \textbf{0.685} & 0.028 & 0.139\\
\cmidrule{2-14}\nopagebreak
 & 0.175 & 1 & 1 & 1 & 1 & \textbf{0.991} & 1 & 1 & 1 & 0.074 & \textbf{0.509} & 0.037 & 0.380\\
\cmidrule{2-14}\nopagebreak
 & 0.210 & 1 & \textbf{0.981} & 1 & 1 & 1 & 1 & 1 & 1 & 0.028 & 0.343 & 0.111 & \textbf{0.519}\\
\cmidrule{2-14}\nopagebreak
 & 0.245 & 1 & 1 & 1 & 1 & \textbf{0.991} & 1 & 1 & 1 &  & 0.130 & 0.083 & \textbf{0.787}\\
\cmidrule{2-14}\nopagebreak
\multirow{-9}{*}[4\dimexpr\aboverulesep+\belowrulesep+\cmidrulewidth]{\raggedright\arraybackslash 0.245} & 0.280 & \textbf{0.991} & \textbf{0.991} & 1 & 1 & \textbf{0.991} & 1 & 1 & 1 & 0.009 & 0.037 & 0.111 & \textbf{0.843}\\
\cmidrule{1-14}\pagebreak[0]
 & 0.000 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.991} & 1 & 0.019 & \textbf{0.981} &  & \\
\cmidrule{2-14}\nopagebreak
 & 0.035 & 1 & 1 & 1 & 1 & 1 & 1 & \textbf{0.981} & 1 & 0.046 & \textbf{0.954} &  & \\
\cmidrule{2-14}\nopagebreak
 & 0.070 & 1 & 0.991 & 1 & 0.991 & 0.991 & 1 & 0.991 & \textbf{0.981} & 0.019 & \textbf{0.954} &  & 0.028\\
\cmidrule{2-14}\nopagebreak
 & 0.105 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.019 & \textbf{0.898} &  & 0.083\\
\cmidrule{2-14}\nopagebreak
 & 0.140 & \textbf{0.981} & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 0.009 & \textbf{0.815} &  & 0.176\\
\cmidrule{2-14}\nopagebreak
 & 0.175 & \textbf{0.981} & 1 & 1 & 1 & 1 & 1 & 0.991 & 1 & 0.019 & \textbf{0.685} &  & 0.296\\
\cmidrule{2-14}\nopagebreak
 & 0.210 & \textbf{0.981} & 0.991 & 1 & 1 & 1 & 1 & 1 & 1 &  & 0.435 & 0.009 & \textbf{0.556}\\
\cmidrule{2-14}\nopagebreak
 & 0.245 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 &  & 0.167 & 0.019 & \textbf{0.815}\\
\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 & 0.028 & \textbf{0.954}\\*
\end{longtable}