  Testing uniformity of a sample supported on the hypersphere is one of the
first steps when analysing multivariate data for which only the directions (and
not the magnitudes) are of interest. In this work, a projection-based
Cram\'er-von Mises test of uniformity on the hypersphere is introduced. This
test can be regarded as an extension of the well-known Watson test of circular
uniformity to the hypersphere. The null asymptotic distribution of the test
statistic is obtained and, via numerical experiments, shown to be tractable and
practical. A novel study on the uniformity of the distribution of craters on
Venus illustrates the usage of the test.
