\begin{table}%t3
\caption{\label{table:hausman}Confidence level for bias detection with the Hausman test in cases~$R_1$ (top three lines) and~$R_2$ (bottom three lines), with a naively simulated noise estimation pipeline (see~text).}
\par
%\centering
\par
\begin{tabular}{cccc}
\hline \hline \noalign{\smallskip}
 &  68\%     &      95\%   &      99\%\\
\hline
 $s_1$ & 100\%  &   96\%  &   87\% \\
 $s_2$   &   99\%   &  93\%    &  70\% \\ 
 $s_3$ & 96\% & 69\%  &   39\% \\
\hline
$s_1$ & 59\% & 19\% & 10\% \\ 
$s_2$ & 48\% & 15\% & 7\% \\ 
$s_3$ & 38\% &  8\% & 1.4\% \\ 
\hline
\end{tabular}
\tablefoot {The parameters $s_1$, $s_2$, and $s_3$ represent three different bias estimators defined in Polenta et~al. (\cite{Pole05}) (see~text).}
\end{table}