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Old 22-11-2005, 07:16 PM   #1
squigipapa
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Attack Power -v.s.- Crit % (long & mathie)

I started throwing together some calculations last night, comparing Attack Power V.S. Crit %. What got me really thinking about this was a post made by a member over at the official forum... (unfortunatly I can't remember his name, or I would properly credit him).

His post just 'clicked' with me. It was a very simplistic concept to understand, so I wanted to look into it a little more. First just give the other guys' post a quick read:

Quote:
Originally Posted by Unknown Blizzard Forum Poster
Study the way the AP and crit behave themselves. You understand that you need burst damage in a pvp scenario and you comprehend the increased benefit AP has o*n every swing.... but you need to analyze the way AP works in relation to CRIT.

Let me ask you this: What is a 100% crit rate?
You might respond with every hit being a crit correct? Negative.

A crit, is simply a double dmg hit... (aka 2x, excluding talents). Instead of seeing that in terms of crit, see that as 2x the weapons dmg. Then, deduce at what level of AP would you need to reach that dmg.

What I'm not so easily explaining to you, is that you can simulate a 100% crit rate, because 100%crit = X AP.

While you cannot obtain this X, you can get pretty close through buffs. (Raid buffs even higher).

Increasing your AP, you understand your increasing your damage by a set amount at all times. Crit applies itself in the same way but at seemingly random intervals. Random meaning %'s to score its benefit. I will assist you o*n this voyage and give you:

1300 AP (ruffly) = 100% crit and 0 AP

At this point your essentially doubling your weapon damage or essentially scoring critical hits everytime. In there lies a sweet spot and synergy between crit and AP.

This so easily complex =)

1% crit = +1% DPS
14 AP = +1 DPS

The difference between them is that o*ne increases your DPS by a set amount and the other through a %.

For simplicity lets take 100 dps.

If you have 100 DPS
+1% Crit = +1% DPS
14 AP = +1% DPS (+1/100)

If you have 50 DPS
+1% Crit = +1% DPS
14 AP = +2% <------ DPS (+1/50)
(as per other threads)( notice the larger impact 14 AP increase has o*n a lower dps weapon)

The higher your TOTAL DPS, the more valuable crit becomes. The lower your total DPS, the more valuable AP is.

The symmetrical value between the 2 is 100 dps. Now does that apply to total DPS, weapon dmg... or what? .... = )
So I started playing around last night with aprox. numbers using equiptment I already had. Going Full crit, my attack power was significiently lower. going full attack power, caused a nasty hit to my crit rate. However, after the calculations were finished I found that for sustained dps (ie. raids etc.) I was much better off with lower crit and higher AP.

This is what I came up with my first calculations .. looking strictly at Hemorrhage.

Quote:
Originally Posted by Squigipapa
Looking @ 2 examples:

#1: 25% Crit - 400 Attack Power
#2: 20% Crit - 700 Attack Power

Example 1:
Hemorrhage With Crit Setup (#1):
--------------------------------
Thrash Blade
One-Hand Sword
66 - 124 Damage Speed 2.70
(35.2 damage per second)

(66 + 124/2) + (400/14)*2.70
= (128) + (77.14)
= 205.14 {Crit: 205.14*2.30=~472}

For simplicity let's look at this damage over 100 hits
Using 25% crit as a baseline, and taking +30% bonus to
crit from Lethality.

So: {(75*205.14) = ~15385} + {(25*472) = ~11800} == (15385 + 11800) = 27185


Example 2:
Hemorrhage With Attack Power Setup (#2):
--------------------------------
Thrash Blade
One-Hand Sword
66 - 124 Damage Speed 2.70
(35.2 damage per second)

(66 + 124/2) + (700/14)*2.70
(128) + (135)
= 263 {Crit: 263*2.30=~605}

Again, For simplicity let's look at this damage over 100 hits.
This time we'll be using the 20% baseline, and taking +30% bonus
to crit from Lethality.

So: {(80*263) = ~21040} + {(20*605) = ~12100} == (21040 + 12100) = 33140

Conclusion: We end up gaining 5955 damage by going with higher attack power
and lower critical strike %. This calculation would also be relative in calculating
the 'normal, white damage' attacks.

It should be noted however, that talent build will also come in to play. A seal fate
build for instance gains much more from a crit than a hemo, or standard 21/8/22 build.
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Old 23-11-2005, 12:08 AM   #2
galzohar
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I took my own gear which is 53-100 dagger and 80-150 mace with around 625 AP and 20% crit. I have an THEN figured how much +crit, +dam and +agi I'll need for +1% damage, and then rebalanced the formula to make it roughly:
1% crit = 17 AP = 11 agi damage-wise. For SS It gives a bit more than +1% damage and for BS it gives about +.8%. Ends up being almost the same formula for both SS and BS - obviously for MY gear. If your stats are significantly different than mine you should make your own math. I may make a program that will make those calculations for you when I'm really bored as I started getting MC epics and will have to redo those calcs anyways as I get better items and therefore more AP and crit.
BTW if u wanna count dodge as damage reduction (which only works against some chars) then it's only like 5.5 agi for BS and 6.5 agi for SS instead of 11.
If your stats aren't more than like 15% off than mine my calcs will be quite close to correct for you too.
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Old 23-11-2005, 01:25 AM   #3
niteshade6
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My own math is pretty similar, I think I ended up with 1% crit=9 agi=16 ap or something like that. Those numbers or something similar are usually pretty well agreed upon. Crit gear tends to be overrated by most, including the Blizzard item budget system. AP on the other hand tends to be underrated.
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Old 23-11-2005, 01:58 AM   #4
hungc9
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Wow that was amazing!!!
Thanks for the info!
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Old 23-11-2005, 02:15 AM   #5
squigipapa
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Quote:
Originally Posted by niteshade6
My own math is pretty similar, I think I ended up with 1% crit=9 agi=16 ap or something like that. Those numbers or something similar are usually pretty well agreed upon. Crit gear tends to be overrated by most, including the Blizzard item budget system. AP on the other hand tends to be underrated.
Ya, No kidding.

#1
Cadaverous Armor
Binds when picked up
Chest Leather
172 Armor
+8 Strength
+8 Agility
Durability 100 / 100
Requires Level 56
Equip: +60 Attack Power.

76 Attack Power, 0.25% crit, 0.5% dodge

#2
Shadowcraft Tunic
Binds when picked up
Chest Leather
176 Armor
+26 Agility
+13 Stamina
+12 Spirit
Durability 100 / 100
Requires Level 58

26 Attack Power. ~1% crit, ~2% Dodge, 130 life

#3
Nightslayer Chestpiece
Binds when picked up
Chest Leather
200 Armor
+10 Strength
+29 Agility
+20 Stamina
+10 Fire Resistance
Classes: Rogue
Durability 120 / 120
Requires Level 60
Equip: Improves your chance
to get a critical strike by 1%.

39 Attack power, 2% crit, 2% dodge, 200 life.

Just looking at the chest pieces, and what only their stats would do for your damage, they probably should have called it the Cadaverous Shanker. :happy14:


*don't take this the wrong way .. I'm not comparing the items for overall effectiveness or anything like that, and I'm not counting set bonuses or anything else. just a simple 'benifit to damage' comparison against the individual items.
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Old 23-11-2005, 06:30 AM   #6
niteshade6
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Don't forget the nightbrace tunic in there too, in terms of pure damage it's in between cadaverous and shadowcraft.
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Old 23-11-2005, 09:50 AM   #7
UndeadRogue
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[QUOTE=squigipapa]

Just looking at the chest pieces, and what only their stats would do for your damage, they probably should have called it the Cadaverous Shanker. :happy14:

QUOTE]

Ok, I know, I'm a bit simple minded, but Squigi... are you saying
that Cadaverous armor outranks / outdamages both the
ShadowCraft and the Nightslayer ? :chinny:
That's not possible right ?

And as a AP-addict you would actually choose it over the other 2 ?
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Old 23-11-2005, 09:59 AM   #8
squigipapa
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Quote:
Originally Posted by UndeadRogue

Ok, I know, I'm a bit simple minded, but Squigi... are you saying
that Cadaverous armor outranks / outdamages both the
ShadowCraft and the Nightslayer ? :chinny:
That's not possible right ?

And as a AP-addict you would actually choose it over the other 2 ?
Ok, well if we're talking 'pure attack power' only, then yes, it has more. But technically, a demon blade of power has more attack power than a crystal tipped stelleto, i'd still take the CTS. However, I'd have to do the math, but I believe that if we're only talking the chest piece here, without the rest of the set, that cadaverous would cause more damage, simply because the attack power gap should be big enough.

I will say though, that it is currently my main armor that I wear. IF, I were to get the nightslayer chest, without any other NS pieces, I would not be vendoring my Cadav., and depending on the situation (ie. damage v.s. survivablity) I would still wear it.
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Old 23-11-2005, 10:14 AM   #9
Schnorres
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can someone give us a formula for the "sweet spot"?
How do you get your values for:
1% crit = XX AP = YY agi
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Old 23-11-2005, 08:29 PM   #10
galzohar
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Don't forget STA though. For me i need +4 STA for +1% HP while for +1% SS damage I need 10.6 agility (or 16.6 AP) and for +1% BS damage I need 14 agility (or 22 AP). That makes 1 STA > 1 agility even if you count in the dodge. That's why NS chest, although has a bit less damage than cavadeous, is much better. 200 hp is no joke!
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