This is for Inferno Group Play.
Dexterity = Semi-Useless (Dodge Chance)
Crit Chance= Semi-Useless
Intelligence = Semi-Useless (Resistance)
Main Stat Priority
DPS
Weapon Damage > Strength > Crit Chance > Crit Damage > Attack Speed
Survivability
Resist All > % Life Increase > Vitality > Life On Hit > Attack Speed > Strength
These six stats are each have huge advantages and will keep you alive. Your job as a Barbarian is to tank the mobs, and absorb the damage.
Your resists and vitality will let you take more damage before anything you're doing becomes dangerous. As a barbarian you should be stacking as much + Resist All as possible to minimize all damage you take.
Some of your main attacks (ie; Revenge and Overpower) restore a percentage of your total health with every target hit. As such, the more life you can achieve the more you will heal yourself. Stacking Vitality and % Life Increase will help keep you alive.
With life on hit and attack speed you will be restoring your life at a rate that should be more than adequate if you achieve somewhere around 300 life on hit, but really the more the better.
Your very last priority is Strength. Even though it is technically your primary stat, you should be after this dead last. It is great for increasing your damage, but you as a barbarian, are a tank. Let the higher dps classes take the monsters down while you hold them still like a pro.