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Magic: Affects magical damage.
Endurance: affects received damage.
Agility: Affects turn order, hit rate, and evasion rate.
Luck: Affects the chance of Inflicting CRIT and the chance to avoid being CRIT.
Damage formula:
DMG = 5 x sqrt(ATK/EN x PWR) x MOD x HITS X RND
DMG = Damage.
ATK= Character's Strength/Magic stat.
EN = Enemy's Endurance stat.
PWR = Atk value of equipped weapon OR Pwr value of used skill.
MOD = Modifier based on the difference between character level and enemy level.
HITS= Number of hits (for physical skills).
RND = Randomness factor (0.95 ~1.05).
8 armor = 1 endurance
Source: GameFAQs
Hit rate and evasion formula isn’t known.