I can't find any information on these. Some are obvious, like Vitality is your HP, but what do the others do? I'm guessing speed has something to do with who goes first, your hit rate, and your dodge, but I don't really know. Does anyone know the formulas for these and what each Attribute does exactly?
Strength and Instinct are just co-efficients for your abilities. Spedd is also a co-efficient but only to a few abilities. Speed also increases critical strike chance and dodge/accuracy. Vitality increases your health. Piercing increases critical strike chance, and Defense decreases damage taken.
Focus is used for abilities, and most of the abilities require at least 5 focus to use. The more focus you have, the more you get to use the abilities.
Instinct Increases the amount of Damage of Magic attacks Psychological depends on lots of instinct while Biological also depend on some Instinct
Strength increases the damage of melee attacks done by biological and so does speed also Biological depend on Speed and Strength while Hydraulic depends on Strength and Instinct
I found the power, it is decimate (in the heat hydro power tree) the move costs NO focus but in the description it says "this attack scales with your current remaining focus"
Instinct determines how hard certain abilities hit. It's an important attribute for electro Psychos as well as cold Hydros. I think shadow Psycho relies on the attribute too, but I find their build extremely weak as compared to electro and mostly ignored it.
If you're Biological, you will have nearly no use of Instinct. You should put your points instead in vitality, STR, or speed.