Comparisons between spatial distribution and velocity properties of the observed catalog before and after bias-minimization. From left to right: distance modulus histograms, peculiar velocity distributions obtained from the raw (black solid line) and corrected (blue and red dotted and dashed lines) observational catalogs as well as the small-scale velocity variance (solid cold color vs. dashed warm color lines respectively). Top to bottom left and right: results for one distribution, for five and ten stacked realizations.