\begin{table}%t4
\caption{Statistical parameters for the correlation between $E_{\rm p}$ and~$b$.}\label{tab4}
%%\centering

\small
\begin{tabular}{llllllll}
\hline \hline
Data set   & $r_{\rm lin}$ &$p_{\rm lin}$ &   $r_{\rm log}$ &$p_{\rm log}$ &$\alpha_{\rm pl}$
&$\alpha_{\sigma_v}$ &${\sigma_v}$    \\
\hline
\X           &$-0.29$    &$0.05$   &$-0.13$           &$0.24$   &$-0.04\pm0.03$   &$-0.04\pm0.06$  &$0.18\pm0.03$         \\
\X~*          &$-0.60$    &$<$$0.001$ &$-0.60$           &$<$$0.001$ &$-0.20\pm0.03$   &$-0.22\pm0.06$  &$0.12\pm0.02$         \\
\FULL        &$-0.63$    &$<$$0.001$ &$-0.70$           &$<$$0.001$ &$-0.404\pm0.005$ &$-0.31\pm0.02$  &$0.13\pm0.01$         \\
\FULL~*       &$-0.67$    &$<$$0.001$ &$-0.79$           &$<$$0.001$ &$-0.404\pm0.005$ &$-0.34\pm0.02$  &$0.12\pm0.02$         \\
\hline
\end{tabular}
\end{table}