Table 5: Robustness of the full-sky fit to the flat $\Lambda$ CDM model at arbitrary redshift. The fit parameters are the calibration H₀/H₀^* and the dimensionless matter density $\Omega _{\rm M}$ . We compare the number of degrees of freedom (d.o.f.), $\chi ^2$ /d.o.f., and the best fit cosmological parameters for data sets A, B, and C for various assumptions on the acceptable light extinction $A_{\rm V}$ , peculiar velocity dispersion $\sigma _v$ , intrinsic dispersion $\sigma _{\rm int}$ and redshift interval included in the fit.
d.o.f. $\frac{\chi^2}{\rm d.o.f.}$ $\frac{H_0}{H_0^*}$ $\Omega _{\rm M}$

data set A: 253 SNe, $z \in [0.002,1.755]$

$A_{\rm V} \leq 1$ , $\sigma_v = 345$ km s^-1, z arbitrary 242 1.31 $1.02 \pm 0.02$ $0.31\pm0.06$

$\sigma_v = 230$ km s^-1 242 1.62 $1.02 \pm 0.02$ $0.31\pm0.06$

$\sigma_v = 460$ km s^-1 242 1.14 $1.01 \pm 0.02$ $0.34 \pm 0.06$

$\sigma_v = 690$ km s^-1 242 0.96 $1.01 \pm 0.02$ $0.34 \pm 0.07$

$0.0 < z \leq 0.2$ 137 1.27 $1.03 \pm 0.03$ 0.04^+0.66_-0.04

0.01<z 211 1.20 $1.01 \pm 0.02$ $0.34 \pm 0.07$

$A_{\rm V} \leq 0.5$ 219 1.26 $1.01 \pm 0.02$ $0.32 \pm 0.07$

data set B: 186 SNe, $z\in [0.010, 1.755]$

$A_{\rm V} \leq 1$ , $\sigma_v = 345$ km s^-1, z arbitrary 180 1.11 $0.98 \pm 0.02$ $0.32 \pm0.06$

$\sigma_v = 230$ km s^-1 180 1.14 $0.98 \pm 0.02$ $0.32 \pm0.06$

$\sigma_v = 460$ km s^-1 180 1.07 $0.98 \pm 0.02$ $0.32 \pm0.06$

$\sigma_v = 690$ km s^-1 180 1.00 $0.98 \pm 0.02$ $0.32 \pm0.06$

$0.0 < z \leq 0.2$ 75 0.84 $1.00 \pm 0.02$ $\leq$ 0.96 ( $2\sigma$ )

$A_{\rm V} \leq 0.5$ 159 0.94 $0.97 \pm 0.02$ $0.32 \pm0.06$

data set C: 117 SNe, $z\in [0.015, 1.01]$

$A_{\rm V} \leq 1$ , $\sigma_v = 345$ km s^-1, $\sigma_{\rm int} = 0.03$ , z arbitrary 115 1.02 $1.08 \pm 0.03$ $0.25 \pm 0.07$

$\sigma_v = 230$ km s^-1 115 1.05 $1.08 \pm 0.05$ $0.23\pm 0.07$

$\sigma_v = 460$ km s^-1 115 0.99 $1.08\pm 0.02$ $0.23 \pm 0.06$

$\sigma_v = 690$ km s^-1 115 0.93 $1.08 \pm 0.03$ $0.23 \pm 0.06$

$0.0 < z \leq 0.2$ 42 0.84 $1.08 \pm 0.04$ 0.20^+1.48_-0.20

$\sigma_{\rm int}=0$ 115 8.60 $1.08 \pm 0.01$ $0.27 \pm 0.03$

$\sigma_{\rm int}=0.02$ 115 1.68 $1.08 \pm 0.05$ $0.24 \pm 0.02$

**Table 5:** Robustness of the full-sky fit to the flat $\Lambda$ CDM model at arbitrary redshift. The fit parameters are the calibration H₀/H₀^* and the dimensionless matter density $\Omega _{\rm M}$ . We compare the number of degrees of freedom (d.o.f.), $\chi ^2$ /d.o.f., and the best fit cosmological parameters for data sets A, B, and C for various assumptions on the acceptable light extinction $A_{\rm V}$ , peculiar velocity dispersion $\sigma _v$ , intrinsic dispersion $\sigma _{\rm int}$ and redshift interval included in the fit.
	d.o.f.	$\frac{\chi^2}{\rm d.o.f.}$	$\frac{H_0}{H_0^*}$	$\Omega _{\rm M}$
data set A: 253 SNe, $z \in [0.002,1.755]$
$A_{\rm V} \leq 1$ , $\sigma_v = 345$ km s^-1, z arbitrary	242	1.31	$1.02 \pm 0.02$	$0.31\pm0.06$
$\sigma_v = 230$ km s^-1	242	1.62	$1.02 \pm 0.02$	$0.31\pm0.06$
$\sigma_v = 460$ km s^-1	242	1.14	$1.01 \pm 0.02$	$0.34 \pm 0.06$
$\sigma_v = 690$ km s^-1	242	0.96	$1.01 \pm 0.02$	$0.34 \pm 0.07$
$0.0 < z \leq 0.2$	137	1.27	$1.03 \pm 0.03$	0.04^+0.66_-0.04
0.01<z	211	1.20	$1.01 \pm 0.02$	$0.34 \pm 0.07$
$A_{\rm V} \leq 0.5$	219	1.26	$1.01 \pm 0.02$	$0.32 \pm 0.07$
data set B: 186 SNe, $z\in [0.010, 1.755]$
$A_{\rm V} \leq 1$ , $\sigma_v = 345$ km s^-1, z arbitrary	180	1.11	$0.98 \pm 0.02$	$0.32 \pm0.06$
$\sigma_v = 230$ km s^-1	180	1.14	$0.98 \pm 0.02$	$0.32 \pm0.06$
$\sigma_v = 460$ km s^-1	180	1.07	$0.98 \pm 0.02$	$0.32 \pm0.06$
$\sigma_v = 690$ km s^-1	180	1.00	$0.98 \pm 0.02$	$0.32 \pm0.06$
$0.0 < z \leq 0.2$	75	0.84	$1.00 \pm 0.02$	$\leq$ 0.96 ( $2\sigma$ )
$A_{\rm V} \leq 0.5$	159	0.94	$0.97 \pm 0.02$	$0.32 \pm0.06$
data set C: 117 SNe, $z\in [0.015, 1.01]$
$A_{\rm V} \leq 1$ , $\sigma_v = 345$ km s^-1, $\sigma_{\rm int} = 0.03$ , z arbitrary	115	1.02	$1.08 \pm 0.03$	$0.25 \pm 0.07$
$\sigma_v = 230$ km s^-1	115	1.05	$1.08 \pm 0.05$	$0.23\pm 0.07$
$\sigma_v = 460$ km s^-1	115	0.99	$1.08\pm 0.02$	$0.23 \pm 0.06$
$\sigma_v = 690$ km s^-1	115	0.93	$1.08 \pm 0.03$	$0.23 \pm 0.06$
$0.0 < z \leq 0.2$	42	0.84	$1.08 \pm 0.04$	0.20^+1.48_-0.20
$\sigma_{\rm int}=0$	115	8.60	$1.08 \pm 0.01$	$0.27 \pm 0.03$
$\sigma_{\rm int}=0.02$	115	1.68	$1.08 \pm 0.05$	$0.24 \pm 0.02$

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