I tried a bit, just a quick test, not as exact and careful as Kyreaper on page 1. I only used generals to have just one unit on the field, which limits the choices, no phalanx mode, single click for attack:
1. Athenian Logades against Roman Cohors Praetoria: Cohors broke at 112 left (and was at 89 soon), Logades had 165 left.
2. Athenian hoplites against Roman Cohors Praetoria: Cohors suffered a lot in the beginning (a bit strange) but overtook later (as to be expected), hoplites broke at 115 left, Cohors had 121 left and was waving.
Not exactly what I expected.

Hoplites out of phalanx seem to me to be a bit too good indeed. Although one test is not enough for stark conclusions.
Edit: @ Kyreaper, I'm not sure about the spear - sword question. There are very few manuals for spear combat to try to learn the old techniques. Although spear fighting is easier to learn as sword fighting I think. In an 1:1 the sword may have the advantage, but in group fights with at least a bit of organisation on the side of the spear guys? I doubt it. Let's agree to not agree.
Here you see a 1:1 spear against sword, sword is better but the spear guy is not very well versed with the weapon:
https://www.youtube.com/watch?v=ni-h8SH1yUw
Here a small group fight, watch the difference:
https://www.youtube.com/watch?v=8UybEdUDdxM