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Old 05/14/07, 12:13 PM   #19 (permalink)
Hobbes
Glass Joe
 
Night Elf Druid
 
Zangarmarsh
Along the lines of how much to value stamina, is there an easy way to calculate the relative value of resilience vs. stamina? I would like to calculate the relative value of say, two trinkets, one of which was +30 stamina, and the other which was +20 stamina and +20 resilience.

Here's an initial attempt at some simple theorycrafting.

ASSUMPTION 1: You go into arenas at 12k HP fully buffed.

ASSUMPTION 2: Someone is hitting you for 800 DPS non-crit, 1600 DPS crit. They have a 30% chance to crit.

ASSUMPTION 3: You receive no heals during the course of the fight.

ASSUMPTION 4: You have no talents which boost your basic ratio of 1 stamina = 10 health.

The average damage to you will be 800 + 800*0.3 = 1040 DPS.
Your survival time is 12000/1040 = 11.538 seconds.

Now let's compare what happens when you equip a +20 stamina trinket vs. a +20 resilience trinket.

With +20 stamina, your HP increases by 200.
Your survival increases to 12200 / 1040 = 11.731 seconds, a gain of .192s.

With +20 resilience, you reduce your attacker's damage as follows.
Base DPS is still 800.
Additional crit damage drops from 800 to 800*(1-0.02*(20/39.42)) = 791.882.
Percent chance to crit drops from 30 to 30-(20/39.42) = 29.493.
Total average damage is now 800 + 791.88*.2949 = 1033.547
Your survival time is now 12000/1033.55 = 11.611, a gain of .072s.

Ratio of Stamina gain vs Resilience gain = .192 / .072 = 2.66


*** BURST DAMAGE AND PROCS ***

According to the above analysis, stamina is much better than resilience for survivability. But it doesn't take into effect the additional benefits of crit, such as "burstiness" or chance to activate/proc trinkets or talents. When I say burstiness, I mean the ability for you or your healer to react to a sudden spike in damage taken. To model this, let's say the value of the attacker's crit increases from +800 to +1600. Then the numbers become:

The average damage to you will be 800 + 1600*0.3 = 1280 DPS.
Your survival time is 12000/1280 = 9.375 seconds.

With +20 stamina, your HP increases by 200.
Your survival increases to 12200 / 1280 = 9.531 seconds, a gain of .156s.

With +20 resilience, you reduce your attacker's damage as follows.
Base DPS is still 800.
Additional crit damage drops from 1600 to 1600*(1-0.02*(20/39.42)) = 1583.765.
Percent chance to crit drops from 30 to 30-(20/39.42) = 29.49.
Total average damage is now 800 + 1583.765*.2949 = 1267.094
Your survival time is now 12000/1267.094 = 9.470, a gain of .095s.

Ratio of Stamina gain vs Resilience gain = .156 / .095 = 1.64

So even by doubling the value of crit bonus damage (from +100% to +200%), Stamina still increases survivability by more. With this assumption, I would value Resilience to be only 1/1.64 = .61 Stamina points. Going back to my original item comparison, a trinket with +20 Stamina and +20 Resilience would be equivalent to one with 20 * (1 + .61) = +32.2 Stamina alone.
 
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