Table 7: $\chi ^2$ (for 2 d.o.f.) of each model to the high redshift data, without stretch correction and with systematic uncertainties added in quadrature ( $\chi ^2_a$ ), neglecting the systematic uncertainties ( $\chi ^2_b$ ), with stretch correction and adding the systematic uncertainties in quadrature ( $\chi ^2_c$ ) or neglecting them ( $\chi ^2_d$ ).
$(\Omega_{\rm M},\Omega_\Lambda)$ $\chi ^2_a$ $\chi ^2_b$ $\chi ^2_c$ $\chi ^2_d$

(0.25, 0.75) 2.18 2.36 1.16 1.44

(1, 0) 7.56 8.44 15.56 18.30

$(1, 0)_{{\rm dust}}$ 3.52 3.96 5.36 6.48

**Table 7:** $\chi ^2$ (for 2 d.o.f.) of each model to the high redshift data, without stretch correction and with systematic uncertainties added in quadrature ( $\chi ^2_a$ ), neglecting the systematic uncertainties ( $\chi ^2_b$ ), with stretch correction and adding the systematic uncertainties in quadrature ( $\chi ^2_c$ ) or neglecting them ( $\chi ^2_d$ ).
$(\Omega_{\rm M},\Omega_\Lambda)$	$\chi ^2_a$	$\chi ^2_b$	$\chi ^2_c$	$\chi ^2_d$
(0.25, 0.75)	2.18	2.36	1.16	1.44
(1, 0)	7.56	8.44	15.56	18.30
$(1, 0)_{{\rm dust}}$	3.52	3.96	5.36	6.48

Source LaTeX | All tables | In the text

	1 Introduction
	2 I-band light curve fitting
	3 The I-band Hubble diagram
	4 High redshift supernovae
	5 The I-band Hubble diagram up to $z \sim 0.5$
	6 SN Ia colours and intergalactic dust
	7 Test for SN brightness evolution
	8 Summary and conclusions
	References
	Online Material