Table 2: Analysis of correlations between p0 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.
    BAL QSOs HI BAL QSOs 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  
p0 BI 0.176 0.180 58 0.557 0.646 27 0.153 0.180 21 +
p0 DI 0.001 0.003 54 0.437 0.469 25 0.004 0.003 20 -
p0 C IV  ${\scriptscriptstyle \rm HWHM}$ 0.834 0.824 54 0.772 0.890 26 0.888 0.898 19 -
p0 C IV  ${\scriptscriptstyle \rm HREW}$ 0.113 0.099 53 0.538 0.560 25 0.078 0.046 19 +
p0 C III]  ${\scriptscriptstyle \rm HWHM}$ 0.059 0.085 48 0.744 0.859 24 0.322 0.458 16 -
p0 C III]  ${\scriptscriptstyle \rm REW}$ 0.305 0.305 33 0.763 0.770 15 0.170 0.308 12 +
p0 Fe II  $\lambda~2400$ 0.411 0.397 31 0.227 0.217 17 0.663 0.792 13 +
p0 Fe II  $\lambda~2070$ 0.022 0.033 38 0.007 0.003 17 0.516 0.541 15 +
p0 $\alpha _B$ 0.082 0.081 49 0.030 0.024 22 0.517 0.494 18 +
p0 $v_{\rm max}$ 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 C IV  ${\scriptscriptstyle \rm HWHM}$ 0.741 0.780 92 0.469 0.451 43 0.513 0.583 25 +
BI C IV  ${\scriptscriptstyle \rm HREW}$ 0.495 0.405 90 0.965 0.869 42 0.301 0.209 25 -
BI C III]  ${\scriptscriptstyle \rm HWHM}$ 0.044 0.030 69 0.100 0.093 41 0.384 0.409 18 +
BI C III]  ${\scriptscriptstyle \rm REW}$ 0.505 0.466 38 0.888 0.912 19 0.273 0.354 12 +
BI Fe II  $\lambda~2070$ 0.000 0.000 43 0.103 0.062 21 0.067 0.087 15 +
BI Fe II  $\lambda~2400$ 0.000 0.000 35 0.008 0.006 21 0.197 0.254 13 +
BI $\alpha _B$ 0.003 0.003 66 0.708 0.741 32 0.021 0.016 24 +
BI $v_{\rm max}$ 0.000 0.000 108 0.000 0.000 53 0.030 0.058 30 +
DI C IV  ${\scriptscriptstyle \rm HWHM}$ 0.527 0.509 91 0.200 0.224 42 0.513 0.619 25 -
DI C IV  ${\scriptscriptstyle \rm HREW}$ 0.002 0.001 90 0.004 0.001 41 0.006 0.004 25 -
DI C III]  ${\scriptscriptstyle \rm HWHM}$ 0.247 0.217 65 0.053 0.047 38 0.970 0.798 18 +
DI C III]  ${\scriptscriptstyle \rm REW}$ 0.040 0.054 38 0.575 0.459 19 0.217 0.138 12 -
DI Fe II  $\lambda~2070$ 0.335 0.310 43 0.305 0.207 21 0.520 0.576 15 +
DI Fe II  $\lambda~2400$ 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 $v_{\rm max}$ 0.000 0.000 93 0.000 0.000 43 0.040 0.038 26 +
C IV  ${\scriptscriptstyle \rm HWHM}$ C IV  ${\scriptscriptstyle \rm HREW}$ 0.387 0.415 90 0.616 0.678 42 0.082 0.131 25 +
C IV  ${\scriptscriptstyle \rm HWHM}$ C III]  ${\scriptscriptstyle \rm HWHM}$ 0.004 0.005 64 0.105 0.148 37 0.017 0.011 18 +
C IV  ${\scriptscriptstyle \rm HWHM}$ C III]  ${\scriptscriptstyle \rm REW}$ 0.546 0.589 37 0.909 0.925 18 1.000 0.931 12 -
C IV  ${\scriptscriptstyle \rm HWHM}$ Fe II  $\lambda~2070$ 0.204 0.205 41 0.192 0.229 20 0.702 0.887 14 +
C IV  ${\scriptscriptstyle \rm HWHM}$ Fe II  $\lambda~2400$ 0.630 0.635 33 0.059 0.051 20 0.131 0.199 12 +
C IV  ${\scriptscriptstyle \rm HWHM}$ $\alpha _B$ 0.442 0.380 59 0.858 0.843 28 0.080 0.038 21 +
C IV  ${\scriptscriptstyle \rm HWHM}$ $v_{\rm max}$ 0.014 0.015 92 0.066 0.094 43 0.228 0.221 25 +
C IV  ${\scriptscriptstyle \rm HREW}$ C III]  ${\scriptscriptstyle \rm HWHM}$ 0.003 0.011 63 0.006 0.012 36 0.340 0.373 18 -
C IV  ${\scriptscriptstyle \rm HREW}$ C III]  ${\scriptscriptstyle \rm REW}$ 0.000 0.000 37 0.027 0.029 18 0.095 0.042 12 +
C IV  ${\scriptscriptstyle \rm HREW}$ Fe II  $\lambda~2070$ 0.498 0.525 41 0.845 0.885 20 0.868 0.976 14 -
C IV  ${\scriptscriptstyle \rm HREW}$ Fe II  $\lambda~2400$ 0.938 0.985 33 0.896 0.830 20 0.403 0.555 12 -
C IV  ${\scriptscriptstyle \rm HREW}$ $\alpha _B$ 0.597 0.639 58 0.983 0.882 27 0.378 0.339 21 -
C IV  ${\scriptscriptstyle \rm HREW}$ $v_{\rm max}$ 0.069 0.042 90 0.029 0.028 42 0.905 0.830 25 -
C III]  ${\scriptscriptstyle \rm HWHM}$ C III]  ${\scriptscriptstyle \rm REW}$ 0.512 0.498 38 0.916 0.932 19 0.272 0.183 12 +
C III]  ${\scriptscriptstyle \rm HWHM}$ Fe II  $\lambda~2070$ 0.275 0.228 41 0.952 0.867 21 0.088 0.061 13 +
C III]  ${\scriptscriptstyle \rm HWHM}$ Fe II  $\lambda~2400$ 0.852 0.867 33 0.504 0.482 21 0.392 0.247 11 +
C III]  ${\scriptscriptstyle \rm HWHM}$ $\alpha _B$ 0.039 0.046 56 0.282 0.312 30 0.084 0.171 17 +
C III]  ${\scriptscriptstyle \rm HWHM}$ $v_{\rm max}$ 0.050 0.063 69 0.156 0.237 41 0.099 0.092 18 +
C III]  ${\scriptscriptstyle \rm REW}$ Fe II  $\lambda~2070$ 0.920 0.912 38 0.574 0.557 19 0.411 0.457 12 -
C III]  ${\scriptscriptstyle \rm REW}$ Fe II  $\lambda~2400$ 0.943 0.997 30 0.207 0.193 19 0.025 0.038 10 -
C III]  ${\scriptscriptstyle \rm REW}$ $\alpha _B$ 0.880 0.967 38 0.674 0.881 19 0.681 0.527 12 +
C III]  ${\scriptscriptstyle \rm REW}$ $v_{\rm max}$ 0.125 0.117 38 0.379 0.501 19 0.726 0.678 12 -
Fe II  $\lambda~2070$ Fe II  $\lambda~2400$ 0.000 0.000 35 0.040 0.026 21 0.057 0.079 13 +
Fe II  $\lambda~2070$ $\alpha _B$ 0.133 0.110 43 0.763 0.771 21 0.347 0.226 15 +
Fe II  $\lambda~2070$ vmax 0.005 0.003 43 0.414 0.383 21 0.096 0.080 15 +
Fe II  $\lambda~2400$ $\alpha _B$ 0.048 0.079 35 0.116 0.167 21 0.581 0.648 13 +
Fe II  $\lambda~2400$ $v_{\rm max}$ 0.001 0.000 35 0.057 0.038 21 0.570 0.406 13 +
$\alpha _B$ $v_{\rm max}$ 0.001 0.001 66 0.280 0.226 32 0.008 0.005 24 +


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