Table 2: Statistical significance of correlations: Kendall $\tau $ Analysis.
Quan. 1 Quan. 2 Sample Size $\tau $ $\sigma $
$N_{\rm C {\sc iv}}$ $(v_+-v_-)_{\rm C {\sc iv}}$ all 74 0.54 >6.0
    interv DLAa 58 0.52 >6.0
    unsaturatedb 49 0.45 4.5
$\vert\bar{v}\vert _{\rm C {\sc iv}}$ $(v_+-v_-)_{\rm C {\sc iv}}$ all 74 0.34 4.3
    interv DLA 58 0.35 3.8
${\rm [Z/H]}$ $N_{\rm C {\sc iv}}$ all 74 0.45 >6.0
    interv DLA 58 0.46 5.1
    Zn IId 37 0.40 3.5
    unsaturated 49 0.25 2.5
${\rm [Z/H]}$ $\Delta v_{\rm C {\sc iv}}$ all 74 0.28 3.4
    interv DLA 58 0.27 2.9
    Zn II 37 0.30 2.6
    unsaturated 49 0.14 1.4
${\rm [Z/H]}$ $(v_+-v_-)_{\rm C {\sc iv}}$ all 74 0.33 4.1
    interv DLA 58 0.30 3.3
    Zn II 37 0.29 2.5
    z<2.34 37 0.39 3.3
    z>2.34 37 0.34 2.9
${\rm [Z/H]}$ $v_{\rm max, C {\sc iv}}$ all 74 0.24 2.9
    interv DLA 58 0.24 2.6
    Zn II 37 0.22 1.9
$N_{\rm C {\sc iv}}$ $l_{\rm c}$ C II* detected 21 0.30 1.9
a In the intervening DLA sample, sub-DLAs and DLAs at <5000km s-1 from the QSO were excluded. b In the unsaturated sample (considered for correlations involving $N_{\rm C {\sc iv}}$ or $\Delta v_{\rm C {\sc iv}}$), all saturated C IV lines were removed. c In the Zn II sample, cases where [Z/H] was derived from Si or S were excluded. This only applies to correlations involving [Z/H].


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