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Table 2:

The results of the $\Sigma -D$ and L-D fits of PN samples defined using the different methods of distance determination.

No.
Samplea $\beta_{_{\Sigma - D}}^b$ $r_{_{\Sigma- D}}^b$ $\alpha_{_{L-D}}^b$ rL - Db Nb
1 Trigonometric Parallax $1.79 \pm 0.22$ -0.90 $-0.21 \pm 0.22$ 00.23 18
2 Trigonometric Parallax \dag $2.02 \pm 0.18$ -0.95 00.02 $\pm$0.18 -0.02 17
3 Geometrical (trig. parall. + expan.) $2.26 \pm 0.26$ -0.86 00.26$\pm$0.26 -0.19 30
4 Geometrical (trig. parall. + expan.) \dag $2.44\pm0.22$ -0.91 00.44$\pm$0.22 -0.36 29
5 Gravitational $1.42\pm0.37$ -0.66 -0.58 $\pm$0.37 00.33 22
6 Gravitational \dag $2.53\pm0.31$ -0.89 00.53$ \pm 0.31$ -0.38 20
7 Spectroscopic $2.57 \pm 0.36$ -0.91 00.57$ \pm 0.36$ -0.43 13
8 Extinction $1.69\pm0.38$ -0.80 $-0.31 \pm0.38$ 00.25 13
9 USNO-PN $2.38\pm0.56$ -0.90 00.38 $\pm$0.56 -0.32 06
a For the first eight samples, PNe are extracted from the SSV and Ph02; for USNO-PN - see Table 3; b the parameters of the fit ($\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).

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