AMD64-based chip ~= 0.9 * Pentium M clock speed (excluding dual cores)
It is fair to say that roughly an AMD64 based chip (i.e. Sempron, Turion, Athlon 64
laptop chips) are equivalent to a Pentium M (Dothan) clocked about 10% lower. So a 2GHz AMD chip would perform near the same as a 1.8GHz Dothan, roughly. Keep in mind that each architecture has its strong & weak points, so you will see those fluctuations in performance.
Overall you can't go wrong with any of the chips. Turion & Dothan are pretty evenly matched, more base the decision on the rest of the notebook's features.
However when looking at budget, Celeron M (also Dothan, but without speedstep) vs Sempron; I'd have to say pick the Celeron M. Based on a recent notebook roundup AT did, two near exact Compaq notebooks showed the Celeron M leading in battery life while they were comparable in performance.
For some more detailed benchmarks of Dothan vs Turion, take a look here:
http://www.laptoplogic.com/resources/detail.php?id=17