\begin{table}%t2 \caption{\label{tab2}The results of the $\Sigma-D$ and $L-D$ fits of PN samples defined using the different methods of distance determination.} %\centerline {\small \begin{tabular} {llccccc} \hline \hline \noalign{\smallskip} No.& Sample$^{a}$& $\beta_{_{\Sigma - D}}^b$ &$r_{_{\Sigma- D}}^b$& $\alpha_{_{L-D}}^b$ & $r_{_{L - D}}^b$ & $N^b$\\ \noalign{\smallskip} \hline \noalign{\smallskip} 1 & Trigonometric Parallax & $1.79 \pm 0.22$ & $-0.90$ & $-0.21 \pm 0.22$ &\p00.23 & 18\\ 2 & Trigonometric Parallax \dag & $2.02 \pm 0.18$ & $-0.95$ & \p00.02 $\pm$0.18 &$-0.02$ & 17\\ 3 & Geometrical (trig. parall. + expan.) & $2.26 \pm 0.26$ & $-0.86$ & \p00.26$\pm$0.26&$-0.19$ & 30\\ 4 & Geometrical (trig. parall. + expan.) \dag & $2.44\pm0.22$ & $-0.91$ & \p00.44$\pm$0.22 &$-0.36$ & 29\\ 5 & Gravitational& $1.42\pm0.37$ & $-0.66$ & $-0.58$ $\pm$0.37 &\p00.33 & 22\\ 6 & Gravitational \dag & $2.53\pm0.31$ & $-0.89$ & \p00.53$ \pm 0.31$ &$-0.38$ & 20\\ 7 & Spectroscopic & $2.57 \pm 0.36$ & $-0.91$ & \p 00.57$ \pm 0.36$ &$-0.43$ & 13 \\ 8 & Extinction & $1.69\pm0.38$ & $-0.80$ & $-0.31 \pm0.38$ &\p00.25 & 13\\ 9 & USNO-PN & $2.38\pm0.56$ & $-0.90$ & \p00.38 $\pm$0.56 & $-0.32$ & \p06\\ \hline \end{tabular}} \medskip $^{a}$ For the first eight samples, PNe are extracted from the SSV and Ph02; for USNO-PN -- see Table~\ref{tab3}; $^b$ the parameters of the fit~($\beta$ and $\alpha$, respectively) and the correlation coefficient $r$ are given for each sample. The number of PNe in the sample is given in the last column~($N$). \end{table}