Not knowing anything about Warriors I can't really say, but... If you are talking straight "white" damage then you crit rating comes into play. That is if you have a higher crit rating than he does then you are liky going to out-DPS him in "white" damage and vice versa.
Now you start adding energy and rage fueled powers and attacks... This leads you to "who has the better talent build?" question. I'm not sure how warrior builds work but if I'm correct then you will have a hard thime keeping with him on the DPS charts if he is dual-weilding or weilding a BIG two-hander. I have been blown out of the water a duel-weilding warriors on the DPS charts when I had a few lvls on him (granted I had some pretty bad gear at the time).
Thos is the formula for Dual-weilding DPS:
Quote:
Minimum Weapon DMG Range = (((Minimum Weapon DMG damage / (Weapon Speed) + (Melee Attack Power / 14)) * (Weapon Speed)) * (Dual Wield Penalty)
Maximum Weapon DMG Range = (((Maximum Weapon DMG damage / (Weapon Speed) + (Melee Attack Power / 14)) * (Weapon Speed)) * (Dual Wield Penalty
Now assuming that is true the formula SHOULD look like this for two-handers:
Maximum Weapon DMG Range = (((Maximum Weapon DMG damage / (Weapon Speed) + (Melee Attack Power)) * (Weapon Speed)) Now this is a estemated guess because I can't find the fromula for two-handers. =/
The reason that I show you this is because It doesn't factor in your Critical Hit rating. That is a bit trickier and beond me right now. I'm going to asume you have a higher AGI and therefore an equal or greater Total DPS.
But really the only way to find out is to tear thru an instance with the DPS meater up :)