\begin{table}%t2
\caption{Analysis of correlations between $p_0$ and the indices described in
Sect. 2.3 as well as correlations between the indices themselves.  Three samples of 
BAL~QSOs are considered.  $n$ is the number of objects considered in the tests.
The last column indicates whether the correlation is positive or negative (identical for
the three BAL~QSO samples).  Boldfaced entries are the least likely to be due to
random chance.}\label{table:stats}
%\centering
\par
\begin{tabular}{llcccccccccc} 
\hline \hline
 &  &  \multicolumn{3}{c}{BAL~QSOs} &  \multicolumn{3}{c}{HI BAL~QSOs} & \multicolumn{3}{c}{LI BAL QSOs} & \\
Index1 & Index2 & $P_{\tau}$ & $P_{r_{\rm s}}$ & $n$ & $P_{\tau}$ & $P_{r_{\rm s}}$ & $n$
& $P_{\tau}$ & $P_{r_{\rm s}}$ & $n$ & \\
\hline 
$p_0$ & BI & 0.176 & 0.180 & 58 & 0.557 & 0.646 & 27 & 0.153 & 0.180 & 21 & $+$\\
$p_0$ & DI & {\bf 0.001} & {\bf 0.003} & 54 & 0.437 & 0.469 & 25 & {\bf 0.004} & {\bf 0.003} & 20 & $-$ \\
$p_0$ & \civ ~ ${\srm HWHM}$ & 0.834 & 0.824 & 54 & 0.772 & 0.890 & 26 & 0.888 & 0.898 & 19 & $-$\\
$p_0$ & \civ ~ ${\srm HREW}$ & 0.113 & 0.099 & 53 & 0.538 & 0.560 & 25 & 0.078 & 0.046 & 19 & $+$\\
$p_0$ & \ciii ~ ${\srm HWHM}$ & 0.059 & 0.085 & 48 & 0.744 & 0.859 & 24 & 0.322 & 0.458 & 16 & $-$ \\
$p_0$ & \ciii ~ ${\srm REW}$ & 0.305 &  0.305 & 33 & 0.763 & 0.770 & 15 & 0.170 & 0.308 & 12 & $+$\\
$p_0$ & \feii ~ $\lambda~2400$ & 0.411 & 0.397 & 31 & 0.227 & 0.217 & 17 & 0.663 & 0.792 & 13 & $+$ \\
$p_0$ & \feii ~ $\lambda~2070$ & 0.022 & 0.033 & 38 & {\bf 0.007} & {\bf 0.003} & 17 & 0.516 & 0.541 & 15 & $+$\\
$p_0$ & $\alpha_B$ & 0.082 & 0.081 & 49 & 0.030 & 0.024 & 22 & 0.517 & 0.494 & 18 & $+$\\
$p_0$ & $v_{\rm max}$ & 0.978 & 0.967 & 57 & 0.656 & 0.631 & 27 & 0.710 & 0.627 & 21 & $+$\\
BI    & DI & 0.208 & 0.213 & 93 & 0.022 & 0.036 & 43 & 0.390 & 0.285 & 26 & $+$ \\
BI    & \civ ~ ${\srm HWHM}$ & 0.741 & 0.780 & 92 & 0.469 & 0.451 & 43 & 0.513 & 0.583 & 25 & $+$ \\
BI    & \civ ~ ${\srm HREW}$ & 0.495 & 0.405 & 90 & 0.965 & 0.869 & 42 & 0.301 & 0.209 & 25 & $-$\\
BI    & \ciii ~ ${\srm HWHM}$ & 0.044 & 0.030 & 69 & 0.100 & 0.093 & 41 & 0.384 & 0.409 & 18 & $+$\\
BI    & \ciii ~ ${\srm REW}$ & 0.505 & 0.466 & 38 & 0.888 & 0.912 & 19 & 0.273 & 0.354 & 12 & $+$\\
BI    & \feii ~ $\lambda~2070$ & {\bf 0.000} & {\bf 0.000} & 43 & 0.103 & 0.062 & 21 & 0.067 & 0.087 & 15 & $+$\\
BI    & \feii ~ $\lambda~2400$ & {\bf 0.000} & {\bf 0.000} & 35 & {\bf 0.008} & {\bf 0.006} & 21 & 0.197 & 0.254 & 13 & $+$ \\
BI    & $\alpha_B$ & {\bf 0.003} & {\bf 0.003} & 66 & 0.708 & 0.741 & 32 & 0.021 & {\bf 0.016} & 24 & $+$\\
BI    & $v_{\rm max}$ & {\bf 0.000} & {\bf 0.000} & 108 & {\bf 0.000} & {\bf 0.000} & 53 & 0.030 & 0.058 & 30 & $+$ \\ 
DI    & \civ ~ ${\srm HWHM}$ & 0.527 & 0.509 & 91 & 0.200 & 0.224 & 42 & 0.513 & 0.619 & 25 & $-$\\
DI    & \civ ~ ${\srm HREW}$ & {\bf 0.002} & {\bf 0.001} & 90 & {\bf 0.004} & {\bf 0.001} & 41 & {\bf 0.006} &{\bf 0.004} & 25 & $-$\\
DI    & \ciii ~ ${\srm HWHM}$ & 0.247 & 0.217 & 65 & 0.053 & 0.047 & 38 & 0.970 & 0.798 & 18 & $+$\\
DI    & \ciii ~ ${\srm REW}$ & 0.040 & 0.054 & 38 & 0.575 & 0.459 & 19 & 0.217 & 0.138 & 12 & $-$\\
DI    & \feii ~ $\lambda~2070$ & 0.335 & 0.310 & 43 & 0.305 & 0.207 & 21 & 0.520 & 0.576 & 15 & $+$ \\
DI    & \feii ~ $\lambda~2400$ & 0.881 & 0.092 & 35 & 0.398 & 0.336 & 21 & 0.243 & 0.343 & 13 & $+$ \\
DI    & $\alpha_B$ & 0.532 & 0.469 & 61 & 0.836 & 0.868 & 29 & 0.843 & 0.922 & 22 & $-$\\
DI    & $v_{\rm max}$ & {\bf 0.000} & {\bf 0.000} & 93 & {\bf 0.000} & {\bf 0.000} & 43 & 0.040 & 0.038 & 26 & $+$\\
\civ ~ ${\srm HWHM}$ & \civ ~ ${\srm HREW}$ & 0.387 & 0.415 & 90 & 0.616 & 0.678 & 42 & 0.082 & 0.131 & 25 & $+$\\
\civ ~ ${\srm HWHM}$ & \ciii ~ ${\srm HWHM}$ & {\bf 0.004} & {\bf 0.005} & 64 & 0.105 & 0.148 & 37 & {\bf 0.017} & {\bf 0.011} & 18 & $+$\\
\civ ~ ${\srm HWHM}$ & \ciii ~ ${\srm REW}$ & 0.546 & 0.589 & 37 & 0.909 & 0.925 & 18 & 1.000 & 0.931 & 12 & $-$\\
\civ ~ ${\srm HWHM}$ & \feii ~ $\lambda~2070$ & 0.204 & 0.205 & 41 & 0.192 & 0.229 & 20 & 0.702 & 0.887 & 14 & $+$\\
\civ ~ ${\srm HWHM}$ & \feii ~ $\lambda~2400$ & 0.630 & 0.635 & 33 & 0.059 & 0.051 & 20 & 0.131 & 0.199 & 12 & $+$\\
\civ ~ ${\srm HWHM}$ & $\alpha_B$ & 0.442 & 0.380 & 59 & 0.858 & 0.843 & 28 & 0.080 & 0.038 & 21 & $+$\\
\civ ~ ${\srm HWHM}$ & $v_{\rm max}$ & {\bf 0.014} & {\bf 0.015} & 92 & 0.066 & 0.094 & 43 & 0.228 & 0.221 & 25 & $+$\\
\civ ~ ${\srm HREW}$ & \ciii ~ ${\srm HWHM}$ & {\bf 0.003} & {\bf 0.011} & 63 & {\bf 0.006} & {\bf 0.012} & 36 & 0.340 & 0.373 & 18 & $-$\\
\civ ~ ${\srm HREW}$ & \ciii ~ ${\srm REW}$ & {\bf 0.000} & {\bf 0.000} & 37 & 0.027 & 0.029 & 18 & 0.095 & 0.042 & 12 & $+$ \\
\civ ~ ${\srm HREW}$ & \feii ~ $\lambda~2070$ & 0.498 & 0.525 & 41 & 0.845 & 0.885 & 20 & 0.868 & 0.976 & 14 & $-$\\
\civ ~ ${\srm HREW}$ & \feii ~ $\lambda~2400$ & 0.938 & 0.985 & 33 & 0.896 & 0.830 & 20 & 0.403 & 0.555 & 12 & $-$\\
\civ ~ ${\srm HREW}$ & $\alpha_B$ & 0.597 & 0.639 & 58 & 0.983 & 0.882 & 27 & 0.378 & 0.339 & 21 & $-$\\
\civ ~ ${\srm HREW}$ & $v_{\rm max}$ & 0.069 & 0.042 & 90 & 0.029 & 0.028 & 42 & 0.905 & 0.830 & 25 & $-$\\
\ciii ~ ${\srm HWHM}$ & \ciii ~ ${\srm REW}$ & 0.512 & 0.498 & 38 & 0.916 & 0.932 & 19 & 0.272 & 0.183 & 12 & $+$\\
\ciii ~ ${\srm HWHM}$ & \feii ~ $\lambda~2070$ & 0.275 & 0.228 & 41 & 0.952 & 0.867 & 21 & 0.088 & 0.061 & 13 & $+$\\
\ciii ~ ${\srm HWHM}$ & \feii ~ $\lambda~2400$ & 0.852 & 0.867 & 33 & 0.504 & 0.482 & 21 & 0.392 & 0.247 & 11 & $+$\\
\ciii ~ ${\srm HWHM}$ & $\alpha_B$ & 0.039 & 0.046 & 56 & 0.282 & 0.312 & 30 & 0.084 & 0.171 & 17 & $+$\\
\ciii ~ ${\srm HWHM}$ & $v_{\rm max}$ & 0.050 & 0.063 & 69 & 0.156 & 0.237 & 41 & 0.099 & 0.092 & 18 & $+$\\
\ciii ~ ${\srm REW}$ & \feii ~ $\lambda~2070$ & 0.920 & 0.912 & 38 & 0.574 & 0.557 & 19 & 0.411 & 0.457 & 12 & $-$\\
\ciii ~ ${\srm REW}$ & \feii ~ $\lambda~2400$ & 0.943 & 0.997 & 30 & 0.207 & 0.193 & 19 & 0.025 & 0.038 & 10 & $-$\\
\ciii ~ ${\srm REW}$ & $\alpha_B$ & 0.880 & 0.967 & 38 & 0.674 & 0.881 & 19 & 0.681 & 0.527 & 12 & $+$\\
\ciii ~ ${\srm REW}$ & $v_{\rm max}$ & 0.125 & 0.117 & 38 & 0.379 & 0.501 & 19 & 0.726 & 0.678 & 12 & $-$\\
\feii ~ $\lambda~2070$ & \feii ~ $\lambda~2400$ & {\bf 0.000} & {\bf 0.000} & 35 & 0.040 & 0.026 & 21 & 0.057 & 0.079 & 13 &
$+$ \\
\feii ~ $\lambda~2070$ & $\alpha_B$ & 0.133 & 0.110 & 43 & 0.763 & 0.771 & 21 & 0.347 & 0.226 & 15 & $+$\\
\feii ~ $\lambda~2070$ & $v_{max}$ & {\bf 0.005} & {\bf 0.003} & 43 & 0.414 & 0.383 & 21 & 0.096 & 0.080 & 15 & $+$ \\
\feii ~ $\lambda~2400$ & $\alpha_B$ & 0.048 & 0.079 & 35 & 0.116 & 0.167 & 21 & 0.581 & 0.648 & 13 & $+$\\
\feii ~ $\lambda~2400$ & $v_{\rm max}$ & {\bf 0.001} & {\bf 0.000} & 35 & 0.057 & 0.038 & 21 & 0.570 & 0.406 & 13 & $+$ \\
$\alpha_B$ & $v_{\rm max}$ & {\bf 0.001} &  {\bf 0.001} & 66 & 0.280 & 0.226 & 32 & {\bf 0.008} & {\bf 0.005} & 24 & $+$\\
\hline
\end{tabular}
\end{table}