\begin{table}%t3
\caption{Statistical parameters for the correlation between $E_{\rm p}$ and $S_{\rm p}$.}\label{tab3}
%%\centering

\small
\begin{tabular}{llllllll}
\hline \hline
Data set  &$r_{\rm lin}$ &$p_{\rm lin}$ &$r_{\rm log}$   &$p_{\rm log}$ &$\alpha$
&$\alpha_v$ &${\sigma_v}$  \\
\hline 
\X                     &$0.63$   &$<$$0.001$  &$0.71$ &$<$$0.001$     &$1.4\pm0.3$ &$0.7\pm0.1$   &$0.35\pm0.05$\\
\FULL                  &$0.56$   &$<$$0.001$  &$0.67$ &$<$$0.001$     &$1.2\pm0.1$ &$0.56\pm0.05$ &$0.33\pm0.02$\\
\FULL~($E_{\rm p}<1.2$)  &$0.72$   &$<$$0.001$  &$0.72$ &$<$$0.001$     &$1.7\pm0.1$ &$0.99\pm0.07$ &$0.29\pm0.02$\\
\FULL~($E_{\rm p}>1.2$)  &$0.87$   &$0.004$   &$0.84$ &$0.007$      &$0.6\pm0.1$  &$0.43\pm0.08$ &$0.13\pm0.03$\\
\hline 
\end{tabular}
\end{table}