Summary: We extend the numerical methods of a previous paper [the first author, S. Duane and the second author, ibid. 138, 75-91 (1984; Zbl 0536.76084)] to the study of the \(\alpha\)-effect in a turbulent plasma. In the frozen-turbulence case the \(\alpha\)-effect vanishes for zero molecular diffusivity. The values of \(\alpha\) is, however, found to depend very sensitively on the molecular diffusivity. The same is true for the turbulent magnetic diffusivity \(\beta\). The theoretical predictions of the first-order smoothing and the Markovian approximations are well satisfied in the appropriate limits, for both \(\alpha\) and \(\beta\).