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You are correct about % of weapon damage skills scaling with STR but only for physical weapon. Focus makes you do more elemental damage so if you're using a staff or wand(s) Focus will help those skills do more damage.
Any skill that does elemental damage only that isn't weapon related like ice, fire, poinson, etc scales off of dex and levels.
All remaining skills that do damage that isn't specified as elemental only scales out of levels. The skill level and your character's level to be clear.
In Vanilla TL2, this is how it works:
Strength increases all weapon damage (bows, swords, staves all included). It also increases crit damage bonus.
Dex increases crit chance, dodge and fumble recovery. It does not increase ranged damage, only crit chance, which is good too.
Focus increases elemental damage (either elemental damage on weapons or flat damage on a skill) and MP
Vit doesn't increase damage, just defensive stuff
There are two types of skills, Weapon Damage and Flat Damage skills. Weapon damage skills will say something like 'deals 25% Weapon DPS'. An example is Flame Hammer.
Flat damage skills will say something like 'Deals 15-25 Fire Damage'. An example is Shield Bash.
Increased Weapon Damage (from Str! or Focus as well if you have a staff/wand) will increase Weapon Damage skills like Flamehammer OR Blast Cannon. It doesn't matter if its ranged or melee.
Increased Focus will increase your Flat Damage skills like Shield Bash. Your weapon DPS has nothing to do with this damage. Crit chance and crit damage bonus will work. Again, there's no difference between ranged and melee.
Then skills like seismic slam and spider mines would use just focus to boost damage? Am I getting it right?
If I dont take points in focus are flat damage skills best avoided or will the level scaling keep them viable?
Attributes in TL2 are pretty straightforward generally; you want, after bonuses from gear; 109-470ish dex, 999 str and as much focus as you can possibly get.
Crit damage bonus from STR caps at 999, Dexterity bonuses suffer from rapidly diminishing returns after 109 and Focus is pretty much always good.
On your first playthrough as an engineer I'd simply recommend using staves and getting as much focus as possible. Vitality is as good as useless in vanilla TL2, especially for engineers (forcefield blocks damage before your shield gets a chance to check for a block)
http://forums.runicgames.com/viewtopic.php?f=30&t=44975/
-Str boosts your weapon damage of all kinds (therefore helping WeaponDPS skills), with Foc doing the same at the same rate except Foc can't increase your weapon's Physical damage, if it has any.
-Foc also increases all skill damage that isn't weapon-based ("+X damage")
-Str increases global crit damage instead
So skills that only do +XDamage benefit only from Foc, and weapon-based skills work from either but are better with Str. And Str lets you use any weapon instead of only elemental ones. Now there's two things to complicate this:
-Skills that do "WeaponDPS as Fire/Ice/Electric/Poison" work alright from Str, but get two boosts from Focus if your weapon was elemental to begin with, being even stronger that way
-A few skills deal damage in BOTH weapon-based and non-weapon based (ENG Emberquake and BSK Wolfpack). With these, as it happens, pure Foc while using an elemental weapon beats anything else. (Borris'd Dexterity is always neat, but more Foc is always the best)
If not doing a Foc build, avoiding them is the idea. (if intending to use them for their damage rather than some support)
I could swear Focus used to make it much better...
Keep a look out for RnF's upcoming item/stat overhaul mod. We simplified the way stats work to make it easier to understand.