Most cosmological parameter estimations are based on the same set of observations and are therefore not independent . Here , we test the consistency of parameter estimations using a combination of large-scale structure and supernovae data , without cosmic microwave background ( CMB ) data . We combine observations from the IRAS 1.2 Jy and Las Campanas redshift surveys , galaxy peculiar velocities and measurements of type Ia supernovae to obtain h = 0.57 _ { -0.14 } ^ { +0.15 } , \Omega _ { m } = 0.28 \pm 0.05 and \sigma _ { 8 } = 0.87 _ { -0.05 } ^ { +0.04 } in agreement with the constraints from observations of the CMB anisotropies by the WMAP satellite . We also compare results from different subsets of data in order to investigate the effect of priors and residual errors in the data . We find that some parameters are consistently well constrained whereas others are consistently ill-determined , or even yield poorly consistent results , thereby illustrating the importance of priors and data contributions .