\begin{table}%t3
\caption{\label{tab:errors}Errors on cosmological parameters for three exemplary data sets with different photometric redshift errors. \textit{Top}: ratios $r_F$ and $r_b$ for the three data sets considered. \textit{Bottom}: marginalized statistical errors~$\sigma$, biases $b$, total errors $\sigma_{\rm tot}$, and $b_{\rm rel}$ for every cosmological parameter, shown for both original and nulled data sets.}
%\centerline
{\begin{tabular}[t]{ccccccc}
\hline \hline
Set & $\sigma_{\rm ph}$ & $f_{\rm cat}$ & $r_{\rm out}$ & Nulling & $r_F$ & $r_b$\\
\hline
1 & 0.03 & 0.01 & 0.007 & (C) & 0.438 & 0.026\\
2 & 0.05 & 0.05 & 0.032 & (B) & 0.475 & 0.039\\
3 & 0.07 & 0.10 & 0.060 & (B) & 0.465 & 0.028\\
\hline
\end{tabular}}
\medskip
The parameters specifying the photometric redshift errors and the nulling variant used are given. The offset of outliers is fixed at $\Delta_z=1.0$ for all sets. The linear alignment model has been used throughout as systematic, as well as the weighting scheme of Sect.~\ref{sec:controladjacent}. Note that set no.$~$2 is the underlying data for the results of Fig.~\ref{fig:bias_plot_fcat}.
\\
%\centerline
 {\begin{tabular}[t]{cccccccccccc}
\hline \hline
Set & Par. & \multicolumn{4}{c}{Original data} & \multicolumn{4}{c}{Nulled data} & \multicolumn{2}{c}{Ratios}\\
&& $\sigma$ & $b$ & $\sigma_{\rm tot}$ & $b_{\rm rel}$ & $\sigma$ & $b$ & $\sigma_{\rm tot}$ & $b_{\rm rel}$ & $\frac{\sigma_{\rm null}}{\sigma_{\rm orig}}$ & $\left|\frac{b_{\rm null}}{b_{\rm orig}}\right|$ \\
\noalign{\smallskip}\hline
1 & $\Omega_{\rm m}$ & 0.008 & --0.137 & 0.137 & --16.921 & 0.023 & --0.003 & 0.023 & --0.137 & 2.849 & 0.023\\     
& $\sigma_8$ & 	       0.012 & 0.166 & 0.167 & 14.290 & 0.030 & 0.004 & 0.030 & 0.125 & 2.557 & 0.022    \\     
& $h_{100}$ & 	       0.104 & 0.109 & 0.151 & 1.042 & 0.213 & --0.001 & 0.213 & --0.003 & 2.043 & 0.006  \\     
& $n_{\rm s}$ &        0.014 & --0.012 & 0.018 & --0.882 & 0.036 & --0.001 & 0.036 & --0.029 & 2.615 & 0.086 \\     
& $\Omega_{\rm b}$ &   0.015 & --0.032 & 0.035 & -2.032 & 0.031 & --0.001 & 0.031 & --0.045 & 1.989 & 0.044 \\     
& $w_0$ & 	       0.078 & --1.231 & 1.233 & --15.845 & 0.247 & --0.034 & 0.249 & --0.136 & 3.173 & 0.027\\     
& $w_a$ & 	       0.250 & 3.123 & 3.133 & 12.486 & 0.737 & 0.097 & 0.743 & 0.132 & 2.946 & 0.031    \\     
%\hline
2 & $\Omega_{\rm m}$ & 0.009 & --0.136 & 0.136 & --15.674 & 0.025 & 0.003 & 0.025 & 0.140 & 2.830 & 0.025 \\    
& $\sigma_8$ & 	       0.012 & 0.165 & 0.166 & 13.316 & 0.031 & --0.002 & 0.031 & --0.057 & 2.510 & 0.011 \\     
& $h_{100}$ & 	       0.109 & 0.095 & 0.145 & 0.871 & 0.203 & --0.042 & 0.207 & --0.209 & 1.859 & 0.447  \\     
& $n_{\rm s}$ &        0.014 & --0.014 & 0.020 & --0.973 & 0.033 & 0.003 & 0.033 & 0.075 & 2.352 & 0.181  \\     
& $\Omega_{\rm b}$ &   0.016 & --0.034 & 0.038 & --2.101 & 0.030 & --0.002 & 0.030 & --0.084 & 1.831 & 0.073 \\     
& $w_0$ & 	       0.085 & --1.225 & 1.228 & --14.486 & 0.262 & 0.067 & 0.270 & 0.254 & 3.094 & 0.054 \\     
& $w_a$ & 	       0.271 & 3.132 & 3.143 & 11.559 & 0.765 & --0.109 & 0.773 & --0.143 & 2.825 & 0.035 \\     
%\hline
3 & $\Omega_{\rm m}$ & 0.010 & --0.135 & 0.135 & --14.090 & 0.026 & --0.002 & 0.026 & --0.075 & 2.758 & 0.015\\          
& $\sigma_8$ & 	       0.014 & 0.164 & 0.164 & 12.066 & 0.033 & 0.005 & 0.034 & 0.145 & 2.466 & 0.030    \\          
& $h_{100}$ & 	       0.116 & 0.079 & 0.140 & 0.676 & 0.218 & --0.042 & 0.222 & --0.194 & 1.879 & 0.538  \\          
& $n_{\rm s}$ &        0.015 & --0.016 & 0.022 & --1.100 & 0.037 & --0.002 & 0.037 & --0.065 & 2.458 & 0.145 \\          
& $\Omega_{\rm b}$ &   0.017 & --0.038 & 0.041 & --2.157 & 0.032 & --0.005 & 0.032 & --0.168 & 1.828 & 0.142 \\          
& $w_0$ & 	       0.095 & --1.211 & 1.215 & --12.773 & 0.283 & 0.021 & 0.284 & 0.073 & 2.986 & 0.017 \\          
& $w_a$ & 	       0.302 & 3.127 & 3.142 & 10.360 & 0.832 & 0.042 & 0.833 & 0.050 & 2.755 & 0.013    \\
\hline \\[-3mm]         
\end{tabular}} 
\medskip
The last two columns show the ratios of statistical errors and biases before and after nulling.
\end{table}