  Turbulence is known to show intermittency. That is, statistical properties
vary with the length scale in a way not accounted for by statistical similarity
where dimensionless ratios of moments are constant. Intermittency occurs even
in the inertial range of isotropic turbulence, where physical intuition calls
for a self-similar scale dependence. Perceived as a lack of overall scaling
invariance, inertial range intermittency has become known as anomalous scaling.
We present an analytic example demonstrating how anomalous scaling and
self-similarity in the form of global scaling invariance can coexist within the
same statistics. Whether we observe anomalous scaling or self-similarity
depends on which variables we consider. Our example illustrates consequences of
a symmetry, but is not meant as an intermittency model.
