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The observed angular correlation function of the cosmic microwave backgroundhas previously been reported to be anomalous, particularly when measured inregions of the sky uncontaminated by Galactic emission. Recent work byEfstathiou et al. presents a Bayesian comparison of isotropic theories, castingdoubt on the significance of the purported anomaly. We extend this analysis toall anisotropic Gaussian theories with vanishing mean (<delta T> = 0), usingthe much wider class of models to confirm that the anomaly is not likely topoint to new physics. On the other hand if there is any new physics to begleaned, it results from low-l alignments which will be better quantified by afull-sky statistic.  We also consider quadratic maximum likelihood power spectrum estimators thatare constructed assuming isotropy. The underlying assumptions are thereforefalse if the ensemble is anisotropic. Nonetheless we demonstrate that, fortheories compatible with the observed sky, these estimators (while no longeroptimal) remain statistically superior to pseudo-C_l power spectrum estimators.

The cut-sky cosmic microwave background is not anomalous