  By intentionally underestimating the rate of convergence of
exact-diagonalization values for the mass or energy gaps of finite systems, we
form families of sequences of gap estimates. The gap estimates cross zero with
generically nonzero linear terms in their Taylor expansions, so that $\nu = 1$
for each member of these sequences of estimates. Thus, the Coherent Anomaly
Method can be used to determine $\nu$. Our freedom in deciding exactly how to
underestimate the convergence allows us to choose the sequence that displays
the clearest coherent anomaly. We demonstrate this approach on the
two-dimensional ferromagnetic Ising model, for which $\nu = 1$. We also use it
on the three-dimensional ferromagnetic Ising model, finding $\nu \approx
0.629$, in good agreement with other estimates.
