  We apply the Efron-Petrosian technique to radio fluxes of pulsars detected in
the Parkes multi-beam survey to test the independence of luminosity and
distance. For this dataset, we find that for four different distance exponents
(ranging from 0.5 to 2), the flux thresholds at which the luminosity and
distances are uncorrelated, correspond to very low $p$-values for the
Kolmogorov-Smirnov test between the truncated and untruncated datasets. This is
due to the fact that the Parkes multi-beam survey is not sufficiently
homogeneous to lend itself to a treatment by the Efron-Petrosian method. We
then repeat the analysis after rendering the dataset more homogeneous by
excluding the distant pulsars from this sample. We find that for this culled
dataset, the flux is consistent with distance exponents of 1.5 and 2.0.
