Narrow absorption lines from intervening material in supernovae - II. Galaxy properties

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Table 4

K-S statistics and correlations for NaI D EW divided according to galaxy properties.

		HOST				MW
Property	Nr	$< D_{M C}^{E W} >$ $< D^{\mathrm{EW}}_{\mathrm{MC}} >$	$< p_{M C}^{E W} >^{*}$ $< p_{MC}^{\mathrm{EW}} >^{\ast}$	$P {(p_{M C}^{E W} < 0.05)}^{*}$ $\mathbf{P}\left(p^{\mathrm{EW}}_{MC}< 0.05\right)^{\ast}$	$r_{s}^{E W}$ $r_s^{\mathrm{EW}}$	$< D_{M C}^{E W} >$ $< D^{\mathrm{EW}}_{\mathrm{MC}}>$	$< p_{M C}^{E W} >$ $< p_{MC}^{\mathrm{EW}}>$	$P {(p_{M C}^{E W} < 0.05)}^{*}$ $\mathbf{P}\left(p^{\mathrm{EW}}_{MC}< 0.05\right)^{\ast}$	$r_{s}^{E W}$ $r_s^{\mathrm{EW}}$
General properties
$Δ α (^{\circ})$ $\boldsymbol{$\Delta\alpha(^{\circ})$}$	697	0.25	2.3×10⁻⁷	100%	−0.22	0.13	0.10	24%	0.19
$\bar{Δ α}$ $\boldsymbol{$\overline{\Delta\alpha}$}$	667	0.39	6.0×10⁻²⁰	100%	−0.44	0.09	0.36	6%	0.00
$Δ α_{D L R}$ $\boldsymbol{$\Delta\alpha_{\mathrm{DLR}}$}$	662	0.33	2.5×10⁻¹⁴	100%	−0.36	0.08	0.45	3%	−0.01
T-type^†	660	0.34	2.6×10⁻⁶	100%	0.07	0.13	0.39	6%	−0.13
i(°)	666	0.18	2.8×10⁻⁴	98%	0.18	0.09	0.29	7%	−0.09
Local properties
$M_{}^{L} / M_{⊙}$ $\bf{M$_^L$/ \Msun}$	357^⊕	0.31	1.2×10⁻⁶	100%	0.32	0.13	0.25	11%	−0.02
$S F R_{0}^{L} (M_{⊙} / y r)$ $\bf{SFR\boldsymbol{$_0^L$} (\Msun /yr)}$	357	0.36	3.7×10⁻⁹	100%	0.39	0.11	0.46	3%	−0.09
$s S F R_{0}^{L} (y r^{- 1})$ $\bf{sSFR\boldsymbol{$_0^L$} (yr$^{-1}$)}$	357	0.30	3.3×10⁻⁵	99%	0.25	0.13	0.22	13%	−0.16
$A_{V}^{L}$ $\boldsymbol{$A_V^L$}$	357	0.36	3.0×10⁻⁹	100%	0.35	0.12	0.32	7%	−0.02
n^L}	357	0.22	9.8×10⁻⁴	84%	0.18	0.14	0.15	17%	−0.16
$t_{a g e}^{L} (G y r)$ $\boldsymbol{$t_{\mathrm{age}}^L$}\bf{(Gyr)}$	357	0.22	9.4×10⁻⁴	94%	−0.21	0.11	0.44	5%	0.08
τ^L(Gyr)	357	0.13	0.16	17%	−0.09	0.13	0.24	9%	0.07
$Z_{}^{L} / Z_{⊙}$ $Z_^L/Z_{\odot}$	357	0.11	0.31	7%	0.05	0.11	0.45	4%	−0.01
Global properties
$M_{}^{G} / M_{⊙}$ $M$_^G$/\Msun$	613	0.12	0.045	40%	0.07	0.11	0.21	15%	0.14
$S F R_{0}^{G} (M_{⊙} / y r)$ $SFR$_0^G$ (\Msun /yr)$	613	0.07	0.52	2%	0.03	0.09	0.41	6%	0.07
$s S F R_{0}^{G} (y r^{- 1})$ $sSFR$_0^G$ (yr$^{-1}$)$	613	0.08	0.41	5%	0.00	0.09	0.43	3%	−0.01
$A_{V}^{G}$	613	0.11	0.12	21%	0.07	0.09	0.38	5%	−0.02
n^G	613	0.08	0.34	5%	0.01	0.10	0.29	9%	0.03
$t_{a g e}^{G} (G y r)$ $$t_{\mathrm{age}}^G$(Gyr)$	613	0.08	0.34	7%	−0.01	0.08	0.46	5%	0.09
τ^G(Gyr)	613	0.09	0.24	12%	0.06	0.09	0.42	4%	0.00
$Z_{}^{G} / Z_{⊙}$ $$Z_^G$/\Zsun$	613	0.09	0.23	13%	−0.07	0.14	0.19	12%	0.11

Notes. The null hypothesis of the K-S test is that the NaI D EW of two samples divided according to a value between the 40 and 60% percentile of the galaxy property indicated in the leftmost column comes from the same parent population. The K-S statistic, D, the p-value, the probability P of the p-value being lower than 0.05 according to a bootstrap (see Sect. 3), and the correlation r_s are shown for the host and MW. Significant rejections of the hypothesis (P > 50%) are highlighted in bold. ^*This probability is obtained from the median of 1000 bootstrap “z-matched” simulations on the two samples recalculating the K-S statistic at each iteration and additionally dividing the sample in two at 10 different positions around the median (40-60% percentile). ^†The T-type samples are divided between spirals and ellipticals (at a fixed T-type = 0) instead of the range around the median (<T-type>~ 2). ^⊕The number of SN hosts with local properties is smaller than for global because of the upper redshift limit of 0.02 (see Sect. 2.2.1).

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