Intelligence
Strength
Agility
Physical Damage
Elemental Damage
Melee Damage
Ranged Damage
Fire Damage
Ice Damage
Light Damage
Critical Damage
Armor Penetration
Health
Mana
Armor
Resistance
Dodge
Tenacity
Life Steal
Mana Steal
Spell Vamp
Move Speed
Attack Speed
Projectile Speed
Cast Rate
Jump Force
Range
Range defines how far long ranged basic attacks and Abilities can reach. The only way to increase Range is by getting a bonus from Equipment, as none of the primary Stats have any influence on Range.
Range always refers to long ranged attacks, melee has its own Range: 
Melee Range.