\begin{table}%T3
\par
\caption{\label{table_simu_posterior}{\it Top}: model odds ratio $O_{M_{\rm A},M_{\rm B}}$ for scenario 1 to 5 (which include $l=2$~modes). Bottom: odds ratio for scenario 6, comparing 4 models (identifications A and B, with or without $l=2$). }
\small%\centerline
{
\begin{tabular}{c|c} 
\hline \hline
Scenario & $O_{M_{\rm A},M_{\rm B}}$  \\
 \hline  
1 & $2 \times 10^{48}$ \\
2 & $7 \times 10^{26}$\\
3 & $1.5 \times 10^4$\\
4 & $7.209$\\
5 & $1.578$ \\
\hline  
\end{tabular}} 
\smallskip
\par
\small%\centerline
{
\begin{tabular}{c|cccc|c} 
\hline \hline 
 \multicolumn{6}{c}{Scenario 6} \\ \hline
$M^l_k \backslash M^{l'}_{k'}$ & $M^1_{\rm A} $ & $M^1_{\rm B} $ &  $M^2_{\rm A} $  & $M^2_{\rm B} $ & $P_{\rm R}(M^l_k|y,I)$ \\ 
\hline
$M^1_{\rm A}$ &    $1$   & $4.6104$ & $92.6707$  & $2.9385$ & $64 \%$\\
$M^1_{\rm B}$ & $0.2169$ &    $1$   & $20.1003$  & $0.6374$ & $13\%$\\
$M^2_{\rm A}$ & $0.0317$ & $0.0495$ &   $1$      & $0.0108$ & $1\%$\\
$M^2_{\rm B}$ & $0.3403$ & $1.5690$ & $31.5373$  &    $1$   & $22\%$\\
 \hline
\end{tabular}}
\smallskip
The identification is indicated as the subscript of the model, the highest $l$~modes as the exponent. Scenario~6 {\em does not include} $l=2$~modes and thus the correct model is $M^1_{\rm A}$. The values of the matrix represent the odds ratio. Note the correct model only reaches a probability of 64\%. 
\end{table}