A detailed analysis of the CfA1 catalog of galaxies by means of the mu
ltifractal or scaling formalism is presented in this paper. The fair s
ample hypothesis, the depth effect, and the problems of the luminosity
and morphological segregation are extensively studied in volumes whic
h differ by a factor of about 8 in size and of about 14 in number dens
ity. The results of our calculation suggest that the CfA1 catalog is n
ot a fair sample drawn from a hypothetical universal galaxy distributi
on. Moreover, no depth effect has been found. Two kinds of (slight) lu
minosity segregation could have been detected: one, due to a peculiar
velocity contamination of bright galaxies which trace denser regions,
and other, for field galaxies, which could be a manifestation of biasi
ng. The morphological segregation is present not only in the cores of
clusters, but also at larger scales and in the moderate density region
s. Both the luminosity and morphological segregations are independent
effects.