WARNING, I can for see that i might be wrong, but here it goes:
Agility should directly affect the damage you can do. A weaker person with high agility is far more dangerous than a stronger person with little.
Yes to the last, no to the first.
Because When you have two people, one weak (Barely capable of handling it's weapons) high AG and one strong low AG, both carrying a Longsword (or any other weapon, but LS works better in my example), have both the same training in LS fighting and Give them the order to De-Head (or un-head
) A Kran that for some reason isn't able to move.
I would say the Strong one wins with one blow, while the weak one does it in 2-3 blows (or something like that). When we repeat this at other spots of the poor Kran we'll see that the strong one wins all over.
Agility was no win for the weak one, He could maybe perform a nice flip-flop-over before it's hit but that wouldn't take away that he hasn't got the strength to do it.
[I did this once in a selfmade training space in Oblivion ^^ Only you can't De/Un-head someone :/ ]
Now with a Moving poor Kran, like in most battles, the damage of a strong person doesn't decrease nor does the damage of the weak one increase.
BUT the weak one can move around more smooth and dodge some attacks so it can get close and stab an eye out, or hit a vital well defended part of the body. Its damage/strength behind the attack is the same, but the change of hitting a 'nice spot' is higher.
As for the Strong one, it can probably only attack some hands/arms/legs ect. (if he doesn't want to get hurt) Or do a Kamikaze attack with the change of dying with it.
So the Damage you CAN DO depends on strength, not on AG (and weapons skill, but those are both the same in my example) But the Damage you DO is depended on your AG and strength and weapon skill and perhaps just luck.