Hmm u can hit more then monster?
or u just hit first ?

You hit for first, hit often and also you can run away first.

I think that other mod that can increase your attack speed is +x% quick draw.

Dexterity
increases chance for critical hits by 0.x each point
note: the more you invest, the lower the effect gained in each level gets. ( recommendation about 120-130 )
increases attacking speed
note: the more you invest, the lower the effect gained in each level gets.
increases the damage of a critical hit by ~ 1% each point
reduces the damage taken of a critical hit by 0.x% each point, degrading non-linear factor

this works the more the merrier