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Crit Chance Vs. Direct Damage (Theorized!)

Ridire de na Fhiaigh Buí
Susulemon
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  • GW2: susulemon.3204
Posted On: 11/04/2013 at 08:55 PM

So I was trying to figure out which sigil would benefit me the most, so I tried to do some basic math to find out, and here is my attempt:

If Damage = D, Critical Chance = C, Critical Damage = X, and Power = P  (P is only included for fun, like weapon strength, armor, coefficient and such, they will be the same for both sides so should be omitted)

 

When using the sigil of accuracy, our damage is this:  

D = (C + 0.05) * X * P = CXP + 0.05XP

 

When using the sigil of force, our dmage is this:

D = 1.05 * C * X * P = CXP + 0.05CXP

 

When we compare both of them, we can take CXP away since it's the same for both, so we end up comparing 0.05XP (Accuracy) to 0.05CXP (Force), ultimately that boils down to:

 

1 (Accuracy) vs C (Force) => every time C is less than one, you will do less damage than the other option; since you rarely have 100% critical hit chance, the "1" option will always give you more damage

 

Thus, the sigil of accuracy, which means increasing 5% critical chance, is always better than just increasing 5% damage, this also implies that +100 precision will always be better than +100 power UNLESS:

1. You cannot critically hit your enemy

2. You have more than 100% critical hit chance

3. Your attack is sooooooooooooooooooooooooooooooooooooo slow that you will rarely crit , ever. <= In this case you will do more damage in a very very long period of time, which becomes impracticable due to the duration of each encounter in GW2

 

I feel like this is not a very extensive calculation but it's the most intuitive and direct for what I can come up with, what do you guys think :O ...

 

This also brings about the topic of the illusion of damage, people often feel like 30% crit chance, or 50% crit chance is the sweet spot, but in reality damage also relies heavily on power , critical damage and attack speed; from math it would seem like the higher the crit chance the better the damage no matter how you look at it as long it's equally trading stats ( 1% for 1%)

But I think the reason people have a feeling on where it's the best, could be contributed by the attack speed, which is another key part to damage, but the part players cannot really control since only ”Quickness" can affect this in game (from what I know); which I think refute the point that, eventhough you might have higher damage, if you're attack is really slow, in the duration of  your fight  you will not feel much from critical damage. We are given 50% critical damage to begin with (1.5 base crit mutiplier) , you can see that as 1000 Power; so the more your crit chance approaches 100% , the more you get access to this 1000 power in a shorter duration of time, and the more crit chance you have, the more it feels like you are getting access to this damage in your duration of fights.

The problem is, if  you attack infinitely fast, you can access all your hidden power anyway since it will crit before  you know it; and again, this is the feeling of time; the faster you attack, or the more chance you have to crit will affect how you feel about your access to your 1000 power + any crit damage you added.

So since we can't control attack speed, we can only improve on critical chance .

Last Edited on: 11/04/2013 at 09:09 PM
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Response:

Ridire de na Iomproidh
SilasGray
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  • GW2: Skallagrim.4071
Replied On: 11/05/2013 at 06:06 AM PST
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This is an interesting discussion and one I have wondered about from time to time. My current thief build with P/P has around 55% base crit and 81% crit damage. I don't recall the power base off the top of my head but it was fairly decent since I use PVT on armor and berserker on everything else.

People say that unload feels a little weak to them but when you factor in that with the right spec you can get 4 of them off in a row and do it at 900 range, and even haste it if you want it gets pretty decent. I combine fire runes on secondary weapons for the aoe fire on crit and it goes off as much as it is allowed by cool down.

I may try trading off some power for crit and see how it affects raw damage.

 

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Tiarna de na Iomproidh Corcra
FinalFAB
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Replied On: 11/05/2013 at 06:33 AM PST
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I think the reason 30% - 50% is the sweet spot because Going higher you loose more power or more crit damage going past this so you might crit all the time but your damage might only be slightly better them you auto attack. Also depending on your class the AOE attack as well as certain auto attack skill hit mutiple times at once creating crits to proc often. Such as Engi Flame thrower/grenades, Gaurdian staff or mesmer greatsword. A lot of these percentages are determined more for hitting a lot in a short period of time. I think you math looks good plus when in any build you should always look at you crit chance because a lot of sigils and traits will proc helpful skills or attacks on crit.

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Tiarna de na Fhiaigh Corcra
Osu
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  • GW2: Osu.6307
Replied On: 11/06/2013 at 08:20 PM PST
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GW2 needs a damage meter addon, badly.

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Saighdiuir de na Sailetheach Gorm
SkeletonJack
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Replied On: 11/07/2013 at 04:29 AM PST
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https://forum-en.guildwars2.com/forum/game/players/Damage-Power-Precision-and-Golden-Ratios/first#post1743110

 

May want to check that out.  Sheds some light on crit chance vs power.

 

However considering that you are likely looking at this more from a PvP perspective (assumption) you can't ignore the value of the burst from crits denying reaction time by the opponent.  Also I don't think I'd ever skip out on Fire/Lightning for one weapon depending on my needs if I had a crit build.  Again for the burst aspect.

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