  Using the Bayesian theory of model comparison, a new cosmological model due
to John and Joseph [M. V. John and K. Babu Joseph, Phys. Rev. D 61, 87304
(2000)] is compared with the standard \Omega_{\Lambda} \neq 0 cosmological
model. Their analysis based on the recent apparent magnitude-redshift data of
Type Ia supernovas found evidence against the new model; our more careful
analysis finds instead that this evidence is not strong. On the other hand, we
find that the angular size-redshift data from compact (milliarcsecond) radio
sources do not discriminate between the two models. Our analysis serves as an
example of how to compare the relative merits of cosmological models in
general, using the Bayesian approach.
