  The velocity dispersion of galaxies on scales of $r\sim1h^{-1}$ Mpc,
$\sigma_{12}(r)$, may be estimated from the anisotropy of the galaxy-galaxy
correlation function in redshift space. We present a reanalysis of the CfA1
survey, correct an error in the original analysis of Davis and Peebles (1983),
and find that $\sigma_{12}(r)$ is extremely sensitive to the details of how
corrections for infall into the Virgo cluster are applied. We conclude that a
robust value of $\sigma_{12}$ cannot be obtained from this survey. We also
discuss results from other redshift surveys, including the effect of removing
clusters.
