Table 1: Characteristics (mean and root mean square) of the distribution of $\sigma _{\epsilon }/\sigma _{\Delta m_{\rm true}}$ for the no shift, under- and overestimation scenarios and different assumed errors. The distributions were obtained from 10 000 simulations of SNLS-like data sets consisting of 250 SNe Ia each.
$\sigma_{\rm int}$ $\sigma _{\rm err}$ Scenario 1^a Scenario 2^b Scenario 3^c

(mag) (mag) Mean RMS Mean RMS Mean RMS

0.13 Eq. (4) 0.96 0.02 0.97 0.02 0.97 0.03

0.09 Eq. (4) 0.94 0.03 0.95 0.02 0.95 0.04

0.09 0 0.92 0.04 0.93 0.03 0.93 0.04

0.05 0 0.80 0.06 0.83 0.05 0.83 0.07

^a No shift in halo mass.
^b All halo masses are underestimated by 50%.
^c All halo masses are overestimated by 50%.

**Table 1:** Characteristics (mean and root mean square) of the distribution of $\sigma _{\epsilon }/\sigma _{\Delta m_{\rm true}}$ for the no shift, under- and overestimation scenarios and different assumed errors. The distributions were obtained from 10 000 simulations of SNLS-like data sets consisting of 250 SNe Ia each.
$\sigma_{\rm int}$	$\sigma _{\rm err}$	Scenario 1^a	Scenario 2^b	Scenario 3^c
(mag)	(mag)	Mean	RMS	Mean	RMS	Mean	RMS
0.13	Eq. (4)	0.96	0.02	0.97	0.02	0.97	0.03
0.09	Eq. (4)	0.94	0.03	0.95	0.02	0.95	0.04
0.09	0	0.92	0.04	0.93	0.03	0.93	0.04
0.05	0	0.80	0.06	0.83	0.05	0.83	0.07

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