  In this paper we compare the performances of the chi-square and median
likelihood analysis in the determination of cosmological constraints using type
Ia supernovae data. We perform a statistical analysis using the 307 supernovae
of the Union 2 compilation of the Supernova Cosmology Project and find that the
chi-square statistical analysis yields tighter cosmological constraints than
the median statistic if only supernovae data is taken into account. We also
show that when additional measurements from the Cosmic Microwave Background and
Baryonic Acoustic Oscillations are considered, the combined cosmological
constraints are not strongly dependent on whether one applies the chi-square
statistic or the median statistic to the supernovae data. This indicates that,
when complementary information from other cosmological probes is taken into
account, the performances of the chi-square and median statistics are very
similar, demonstrating the robustness of the statistical analysis.
