With the advent of the COBE detection of fluctuations in the cosmic mi
crowave background radiation, the study of inhomogeneous cosmology has
entered a new phase. It is now possible to accurately normalize fluct
uations on the largest observable scales in the linear regime. In this
paper we present a model-independent method of normalizing theories t
o the full COBE data. This technique allows an extremely wide range of
theories to be accurately normalized to COBE in a very simple and fas
t way. We give the best-fitting normalization and relative peak likeli
hoods for a range of spectral shapes and discuss the normalization for
several popular theories. In addition, we present both Bayesian and f
requentist measures of the goodness of fit of a representative range o
f theories to the COBE data.