Character Stats: Chance to Crit

[Felbind]

This thread is dedicated to providing statistics for use in decyphering the "Chance to Crit" formula. I have made a similar thread for discussing "Chance to Dodge" here
I made the two as close to identical as possible for the intent of providing the same information on two different subjects.

First, I'd like to apologize in advance for this hideous mess of numbers. This isn't the way I would have liked to present my data, but with formatting code disabled, there is no way to make it pretty on these forums.
I also had to remove some relevant information in order to compress it's size enough to fit within the 10,000 character limit. More complete (and better looking) charts can temporarily be found here (http://felbind.tripod.com/index.html)

A brief explaination:
"Base Critical" is the crit % listed in my spellbook. The numbers reflect the value from level 37-42, for various levels of agility. While my character was unbuffed at the time, this data includes all crit-giving benefits from skills, and talents. (No +% Crit Items, however.)
As a result, "Critical -Modifiers" is what my crit % would be if those benefits were removed. This means the following:
1) - the 5% Talent Bonus. (Precision)
2) - the % from Weapon Skill. (0.04 * Skill Level)

The incomplete fields (marked here by "---"), indicate that I was unable to attain that level of agility, for that clvl. This is because the smallest agility granting item I had, was +2 at the time. I had nothing to give me +1 up from my base agi. Therefore, my results will be lacking both +1 from base, and -1 from max for each level, as well as any agility below the base, or above the max, for that level.
Note that it *is* possible I made some errors in data entry for the base values. Though, likely not a great many.
(Discrepancies will occur in Base Critical, where I sometimes equipped weapons with different skills to achieve a higher agility bonus. These discrepancies will not impact "Critical -Modifiers".)

Base Critical
Agility -> Level 37, Level 38, Level 39, Level 40, Level 41, Level 42
81 -> 7.48, ---, ---, ---, ---, ---
82 -> ---, ---, ---, ---, ---, ---
83 -> 7.55, 7.26, ---, ---, ---, ---
84 -> 7.58, ---, ---, ---, ---, ---
85 -> 7.81, 7.33, 7.04, ---, ---, ---
86 -> 7.65, 7.36, ---, 6.81, ---, ---
87 -> 7.68, 7.79, 7.11, ---, ---, ---
88 -> 7.71, 7.42, 7.14, 6.87, 6.6, ---
89 -> 7.75, 7.46, 7.77, 6.9, , ---
90 -> 7.78, 7.49, 7.2, 7.73, 6.66, ---
91 -> 7.81, 7.52, 7.23, 6.96, 6.69, ---
92 -> 7.85, 7.55, 7.26, 6.99, 7.68, ---
93 -> 8.08, 7.59, 7.29, 7.02, 6.75, ---
94 -> 7.91, 8.02, 7.32, 7.05, 6.78, 7.7
95 -> 7.94, 7.65, 7.35, 7.08, 6.81, ---
96 -> 7.98, 7.68, 7.39, 7.11, 6.84, 7.76
97 -> 8.01, 7.71, 7.42, 7.14, 6.87, 7.78
98 -> 8.04, 7.75, 7.45, 7.17, 6.9, 7.81
99 -> 8.28, 7.78, 7.48, 7.2, 6.93, 7.84
100 -> 8.11, 8.21, 7.51, 7.23, 6.96, 7.87
101 -> 8.14, 7.84, 7.54, 7.26, 6.99, 7.9
102 -> 8.18, 7.87, 8.17, 7.29, 7.02, 7.93
103 -> 8.21, 7.91, 7.6, 7.32, 7.05, 7.96
104 -> 8.24, 7.94, 7.63, 7.35, 7.08, 7.98
105 -> 8.28, 7.97, 7.67, 7.38, 7.11, 8.01
106 -> 8.31, 8, 7.7, 7.41, 7.14, 8.04
107 -> 8.54, 8.03, 7.73, 7.44, 7.17, 8.07
108 -> 8.37, 8.07, 7.76, 7.47, 7.2, 8.11
109 -> 8.41, 8.1, 7.79, 7.5, 7.23, 8.13
110 -> 8.44, 8.13, 7.82, 7.53, 7.26, 8.16
111 -> 8.47, 8.16, 7.85, 7.56, 7.29, 8.19
112 -> 8.71, 8.2, 7.88, 7.59, 7.32, 8.21
113 -> 8.54, 8.23, 7.91, 7.62, 7.34, 8.24
114 -> 8.57, 8.66, 7.95, 7.65, 7.37, 8.27
115 -> 8.61, 8.29, 7.98, 7.68, 7.4, 8.3
116 -> 8.64, 8.32, 8.61, 7.71, 7.43, 8.33
117 -> 8.67, 8.36, 8.04, 8.55, 7.46, 8.36
118 -> 8.71, 8.39, 8.07, 7.78, 7.49, 8.39
119 -> 8.74, 8.42, 8.1, 7.81, 7.52, 8.42
120 -> 8.97, 8.45, 8.13, 7.84, 7.55, 8.44
121 -> 8.81, 8.48, 8.16, 7.87, 7.58, 8.47
122 -> 8.84, 8.52, 8.19, 7.9, 7.61, 8.5
123 -> 8.87, 8.55, 8.23, 7.93, 7.64, 8.53
124 -> 8.9, 8.54, 8.26, 7.96, 7.67, 8.56
125 -> 8.94, 8.61, 8.29, 7.99, 7.7, 8.59
126 -> 8.97, 8.64, 8.32, 8.02, 7.73, 8.62
127 -> 9, 8.68, 8.35, 8.05, 7.76, 8.64
128 -> 9.24, 8.71, 8.38, 8.08, 7.79, 8.67
129 -> 9.07, 8.74, 8.41, 8.11, 7.82, 8.7
130 -> 9.1, 8.77, 8.44, 8.14, 7.85, 8.73
131 -> 9.14, 8.81, 8.47, 8.17, 7.88, 8.76
132 -> 9.17, 8.84, 8.51, 8.2, 7.91, 8.79
133 -> 9.2, 8.87, 8.54, 8.23, 7.94, 8.82
134 -> 9.24, 8.9, 8.57, 8.26, 7.97, 8.85
135 -> 9.47, 8.93, 8.6, 8.29, 8, 8.87
136 -> 9.3, 8.97, 8.63, 8.32, 8.03, 8.9
137 -> 9.33, 9, 8.66, 8.35, 8.06, 8.93
138 -> 9.37, 9.03, 8.69, 8.38, 8.08, 8.96
139 -> 9.4, 9.06, 8.72, 8.41, 8.11, 8.99
140 -> 9.43, 9.09, 8.75, 8.44, 8.14, 9.02
141 -> 9.67, 9.13, 8.79, 8.47, 8.17, 9.05
142 -> 9.5, 9.16, 8.82, 8.5, 8.2, 9.08
143 -> 9.53, 9.19, 8.85, 8.53, 8.23, 9.1
144 -> 9.57, 9.22, 8.88, 8.56, 8.26, 9.13
145 -> 9.6, 9.25, 8.91, 8.59, 8.29, 9.16
146 -> 9.63, 9.29, 8.94, 8.62, 8.32, 9.19
147 -> 9.87, 9.32, 8.97, 8.65, 8.35, 9.22
148 -> 9.7, 9.35, 9, 8.68, 8.38, 9.25
149 -> 9.93, 9.38, 9.63, 8.71, 8.41, 9.28
150 -> 9.76, 9.41, 9.66, 8.74, 8.44, 9.3
151 -> 9.8, 9.85, 9.7, 8.78, 8.47, 9.33
152 -> 10.03, 9.88, 9.73, 8.81, 8.5, 9.36
153 -> 9.86, 9.91, 9.76, 9.64, 8.53, 9.39
154 -> 10.1, 9.94, 9.79, 9.67, 8.56, 9.42
155 -> 10.13, 9.98, 9.82, 9.7, 8.59, 9.45
156 -> 10.16, 10.01, 9.85, 9.73, 9.58, 9.48
157 -> 10.2, 10.04, 9.88, 9.76, 9.61, 9.51
158 -> 10.23, 10.07, 9.91, 9.79, 9.64, 9.53
159 -> 10.26, 10.1, 9.94, 9.82, 9.67, 9.56
160 -> ---, 10.14, 9.98, 9.85, 9.7, 9.59
161 -> 10.33, 10.17, 10.01, 9.88, 9.73, 9.62
162 -> ---, ---, 10.04, 9.91, 9.76, 9.65
163 -> ---, 10.23, 10.07, 9.94, 9.78, 9.68
164 -> ---, ---, ---, 9.97, 9.81, 9.71
165 -> ---, ---, 10.13, ---, 9.84, 9.74
166 -> ---, ---, ---, 10.03, 9.87, 9.76
167 -> ---, ---, ---, ---, ---, 9.79
168 -> ---, ---, ---, ---, 9.93, 9.82
169 -> ---, ---, ---, ---, ---, ---
170 -> ---, ---, ---, ---, ---, 9.88

Critical -Modifiers
Agility -> Level 37, Level 38, Level 39, Level 40, Level 41, Level 42
81 -> -4.72, ---, ---, ---, ---, ---
82 -> ---, ---, ---, ---, ---, ---
83 -> -4.65, -4.94, ---, ---, ---, ---
84 -> -4.62, ---, ---, ---, ---, ---
85 -> -4.59, -4.87, -5.16, ---, ---, ---
86 -> -4.55, -4.84, ---, -5.39, ---, ---
87 -> -4.52, -4.81, -5.09, ---, ---, ---
88 -> -4.49, -4.78, -5.06, -5.33, -5.6, ---
89 -> -4.45, -4.74, -5.03, -5.3, ---, ---
90 -> -4.42, -4.71, -5, -5.27, -5.54, ---
91 -> -4.39, -4.68, -4.97, -5.24, -5.51, ---
92 -> -4.35, -4.65, -4.94, -5.21, -5.48, ---
93 -> -4.32, -4.61, -4.91, -5.18, -5.45, ---
94 -> -4.29, -4.58, -4.88, -5.15, -5.42, -5.7
95 -> -4.26, -4.55, -4.85, -5.12, -5.39, ---
96 -> -4.22, -4.52, -4.81, -5.09, -5.36, -5.64
97 -> -4.19, -4.49, -4.78, -5.06, -5.33, -5.62
98 -> -4.16, -4.45, -4.75, -5.03, -5.3, -5.59
99 -> -4.12, -4.42, -4.72, -5, -5.27, -5.56
100 -> -4.09, -4.39, -4.69, -4.97, -5.24, -5.53
101 -> -4.06, -4.36, -4.66, -4.94, -5.21, -5.5
102 -> -4.02, -4.33, -4.63, -4.91, -5.18, -5.47
103 -> -3.99, -4.29, -4.6, -4.88, -5.15, -5.44
104 -> -3.96, -4.26, -4.57, -4.85, -5.12, -5.42
105 -> -3.92, -4.23, -4.53, -4.82, -5.09, -5.39
106 -> -3.89, -4.2, -4.5, -4.79, -5.06, -5.36
107 -> -3.86, -4.17, -4.47, -4.76, -5.03, -5.33
108 -> -3.83, -4.13, -4.44, -4.73, -5, -5.29
109 -> -3.79, -4.1, -4.41, -4.7, -4.97, -5.27
110 -> -3.76, -4.07, -4.38, -4.67, -4.94, -5.24
111 -> -3.73, -4.04, -4.35, -4.64, -4.91, -5.21
112 -> -3.69, -4, -4.32, -4.61, -4.88, -5.19
113 -> -3.66, -3.97, -4.29, -4.58, -4.86, -5.16
114 -> -3.63, -3.94, -4.25, -4.55, -4.83, -5.13
115 -> -3.59, -3.91, -4.22, -4.52, -4.8, -5.1
116 -> -3.56, -3.88, -4.19, -4.49, -4.77, -5.07
117 -> -3.53, -3.84, -4.16, -4.45, -4.74, -5.04
118 -> -3.49, -3.81, -4.13, -4.42, -4.71, -5.01
119 -> -3.46, -3.78, -4.1, -4.39, -4.68, -4.98
120 -> -3.43, -3.75, -4.07, -4.36, -4.65, -4.96
121 -> -3.39, -3.72, -4.04, -4.33, -4.62, -4.93
122 -> -3.36, -3.68, -4.01, -4.3, -4.59, -4.9
123 -> -3.33, -3.65, -3.97, -4.27, -4.56, -4.87
124 -> -3.3, -3.66, -3.94, -4.24, -4.53, -4.84
125 -> -3.26, -3.59, -3.91, -4.21, -4.5, -4.81
126 -> -3.23, -3.56, -3.88, -4.18, -4.47, -4.78
127 -> -3.2, -3.52, -3.85, -4.15, -4.44, -4.76
128 -> -3.16, -3.49, -3.82, -4.12, -4.41, -4.73
129 -> -3.13, -3.46, -3.79, -4.09, -4.38, -4.7
130 -> -3.1, -3.43, -3.76, -4.06, -4.35, -4.67
131 -> -3.06, -3.39, -3.73, -4.03, -4.32, -4.64
132 -> -3.03, -3.36, -3.69, -4, -4.29, -4.61
133 -> -3, -3.33, -3.66, -3.97, -4.26, -4.58
134 -> -2.96, -3.3, -3.63, -3.94, -4.23, -4.55
135 -> -2.93, -3.27, -3.6, -3.91, -4.2, -4.53
136 -> -2.9, -3.23, -3.57, -3.88, -4.17, -4.5
137 -> -2.87, -3.2, -3.54, -3.85, -4.14, -4.47
138 -> -2.83, -3.17, -3.51, -3.82, -4.12, -4.44
139 -> -2.8, -3.14, -3.48, -3.79, -4.09, -4.41
140 -> -2.77, -3.11, -3.45, -3.76, -4.06, -4.38
141 -> -2.73, -3.07, -3.41, -3.73, -4.03, -4.35
142 -> -2.7, -3.04, -3.38, -3.7, -4, -4.32
143 -> -2.67, -3.01, -3.35, -3.67, -3.97, -4.3
144 -> -2.63, -2.98, -3.32, -3.64, -3.94, -4.27
145 -> -2.6, -2.95, -3.29, -3.61, -3.91, -4.24
146 -> -2.57, -2.91, -3.26, -3.58, -3.88, -4.21
147 -> -2.53, -2.88, -3.23, -3.55, -3.85, -4.18
148 -> -2.5, -2.85, -3.2, -3.52, -3.82, -4.15
149 -> -2.47, -2.82, -3.17, -3.49, -3.79, -4.12
150 -> -2.44, -2.79, -3.14, -3.46, -3.76, -4.1
151 -> -2.4, -2.55, -3.1, -3.42, -3.73, -4.07
152 -> -2.37, -2.72, -3.07, -3.39, -3.7, -4.04
153 -> -2.34, -2.69, -3.04, -3.36, -3.67, -4.01
154 -> -2.3, -2.66, -3.01, -3.33, -3.64, -3.98
155 -> -2.27, -2.62, -2.98, -3.3, -3.61, -3.95
156 -> -2.24, -2.59, -2.95, -3.27, -3.58, -3.92
157 -> -2.2, -2.56, -2.92, -3.24, -3.55, -3.89
158 -> -2.17, -2.53, -2.89, -3.21, -3.52, -3.87
159 -> -2.14, -2.5, -2.86, -3.18, -3.49, -3.84
160 -> ---, -2.46, -2.82, -3.15, -3.46, -3.81
161 -> -2.07, -2.43, -2.79, -3.12, -3.43, -3.78
162 -> ---, ---, -2.76, -3.09, -3.4, -3.75
163 -> ---, -2.37, -2.73, -3.06, -3.38, -3.72
164 -> ---, ---, ---, -3.03, -3.35, -3.69
165 -> ---, ---, -2.67, ---, -3.32, -3.66
166 -> ---, ---, ---, -2.97, -3.29, -3.64
167 -> ---, ---, ---, ---, ---, -3.61
168 -> ---, ---, ---, ---, -3.23, -3.58
169 -> ---, ---, ---, ---, ---, ---
170 -> ---, ---, ---, ---, ---, -3.52

[BoddoZerg]

I never knew that Weapon Skill gave a 0.04% chance to crit per point! Hmm.

It's kinda odd that all your "-modifiers" numbers are negative, even at high Agility levels. Maybe Weapon Skill is a negative modifier? (that is, for every point below max, you lose 0.04%)

The negative modifiers do seem pretty linear though, it seems that you get 1% crit for every X% agility, where X depends on level.

There doesn't seem to be a clean fit between X and character level though. Just from the raw data it would seem to be:

Level 37 -> X = 30.2
Level 38 -> X = 31.1
Level 39 -> X = 32.1
Level 40 -> X = 33.1
Level 41 -> X = 33.8 (??)
Level 42 -> X = 34.8

More data needed. Your data certainly does not fit the Beta formula where crit% was equal to (Agility / Clvl), multiplied by 2 for Rogues.

[Ignayshus]

This has been done before, at least for spell crits. Wish I had the link, but the data supported this conclusion:

Base 5% + 1%/29 Int

So Priests and Mages who commonly have 300 Int at level 60, have a 15% chance to crit with spells.

I would not be suprised if the same held true for melee criticals.

That being said it's much harder to find +crit gear for spells (which crit for 1.5x dmg) than it is for melee (which crits for 2x dmg), so maybe the crit %'s are tweaked to reflect that.

[Pai Mai]

This has been done before, at least for spell crits. Wish I had the link, but the data supported this conclusion:

Base 5% + 1%/29 Int

This is the first time I've seen this number. It's always been stated that it took 100 int per 1% spell crit. I made another mage and have been parsing my crit rate, and so far, at lvl 24 with 110 int I have a 3.7% crit rate.

For melee crits at lvl 60 it takes:
Hunter/Rogue - 29 agi
Warrior/Shaman - 20 agi

[cragzop]

This is the first time I've seen this number. It's always been stated that it took 100 int per 1% spell crit. I made another mage and have been parsing my crit rate, and so far, at lvl 24 with 110 int I have a 3.7% crit rate.

For melee crits at lvl 60 it takes:
Hunter/Rogue - 29 agi
Warrior/Shaman - 20 agi


Are you sure about that 1% crit for 20 agility for warriors and Shamen? I'd always read that it essentially required your level in agil per 1% crit for all but rogues, for them it was lvl/2?

[Pai Mai]

I can guarantee that it takes 20 agi per 1% for a warrior and a shaman at 60, because I have both. And I also know it takes 29 for rogues and hunters, because that has been tested easily enough as well with lvl 60 rogues and hunters.

Same as how 1 str = 2 attack power for a warrior, but 1 agi or 1 str = 1 attack power for rogues and hunters.

[Valas Azuviir]

Official word from the devs at to the exact numbers on crit and dodge.
Link (http://forums-en.wow-europe.com/thread.aspx?fn=wow-general-en&t=148612&p=1&tmp=1#post148612)

Might want to save it to your comps or repost it before it goes up in smoke in some board crash or something.

[Lileofavelion]

Thundgot's Blizzard Community Manager Europe posted on 4/12/2005 9:53:59 AM PDT:




We asked the devs for a short explanation of Attack Power and Defense in relation to Agility and Strength. The following should be of some help to those wondering e.g. whether their new +x Attack Power weapon is better than their old +y Strength / +z Agility one. :)

Agility
- Increases Armor Class by 2 for every point of AGI.
- Increases the chance of a critical hit with melee and ranged attacks. The amount of the increase is dependant on both class and level. For most level 60 character classes, approximately 20 points of AGI will increase your critical hit chance by approximately 1%. Rogues require 29 AGI for an additional 1% critical hit chance, and Hunters require 53 AGI for an additional 1% critical hit chance, but both of these classes also gain attack power from agility and the items available to them typically have much higher amounts of AGI.
- Increases the chance to dodge an attack. The amount increased is dependant on both class and level. For most level 60 character classes, approximately 20 points of AGI will increase your chance to dodge by approximately 1%. Rogues only require 14.5 AGI for an additional 1% dodge chance. Hunters require 26.5 AGI for an additional 1% dodge chance, but Hunters typically have a high amount of agility, as well as an Aspect spell that further increases their chance to dodge attacks.

Defense
- Increases the chance of being missed by an attack.
- Increases the chance to dodge, parry, and block.
- Decreases the chance of being affected by a critical hit.
- Decreases the chance of being affected by a "crushing blow". Creatures that are higher level than your character can land crushing blows that deal increased melee damage. The chance of a crushing blow increases as the level difference between you and the opposing creature increases. Players never deal "crushing blows", only creatures.

Attack Power
- Attack power increases your base melee DPS by 1 for every 14 attack power.
- Strength increases your melee attack power by 2, except for rogues and Hunters. Rogues and Hunters gain 1 attack power per point of Strength, and 1 per point of Agility.

Thundgot
Community Manager, English

[Khrillian]

Can someone tell me what my theoretical crit rate should be for this build?

53 night elf hunter, no weapon equipped (unarmed skill 186/265)
equipped: str 49, agi 252, sta 130, int 130, spr 86, armor 2159, crit=3.36%
naked: str 46, agi 113, sta 78, int 58, spr 62, armor 226, crit=1.00%
I also have killer instincts rank 1 (1% crit bonus)

with 2h sword equipped, agi+15, sta+15, 2h sword skill 263/265, crit=3.77%

I can't figure this out for the life of me and it just doesn't look right. Most of the formulas I've seen suggest I should have a crit rate of 5% + agi/(clvl/2), while some add to it 'equipped weapon skill'*0.04%. According to those formulas, I should get at least 14.5% geared up without a weapon. Surely I'm missing something.

[Kail]

Khrill, quick note about the weapon skill thing, the 5% base is if you have the appropriate amount of skill for your level. You'd only have that 5% if your weapon skill was 265, at your level.

Looks almost like barehanded fighting gets no base crit chance from 'weapon' skill, though. Your naked crit % is only that bonus from the talent, and the equipped % adds what I've heard is the appropriate 1% per 59 agility (hunters only). Keep in mind only bonus agility from equipment and buffs adds crit chance, base agi has no effect.

Your 2h crit numbers completely baffle me, though. I don't want be insulting, but are you sure they're accurate? I can't figure where the weirdness is coming from, unless you've made corrections for something, somewhere, and forgot to mention it.

[Khrillian]

You are right about the 2h numbers, I mistyped, it is really 6.77%.

Using only the bonus agi with 1% per 59 agi gives the right value without a weapon. But where does this "5% base crit" number I see everywhere fit in? Is it even supposed to be displayed on that screen?

As for the weapon, I have no idea why it should add 3.16% on top of the agi bonus. I just cheched my level 11 tauren shaman, and he has a base (naked) 2.15% crit and his one hand mace adds 2.04% (skill 52/55).

One thing is for sure, it would really help if blizzard gave us the formulas.

[Tenson]

This is the first time I've seen this number. It's always been stated that it took 100 int per 1% spell crit. I made another mage and have been parsing my crit rate, and so far, at lvl 24 with 110 int I have a 3.7% crit rate.

For melee crits at lvl 60 it takes:
Hunter/Rogue - 29 agi
Warrior/Shaman - 20 agi

I'm not sure if you meant your crit rate all the way to 24, or you did some specfic testing, but in the case of the former: tracking your crit rate from your actual actions over a large variety of enemies can be a little off, since it is very unlikely they were all equal to your level. Assuming that the spell crit chance works like melee crit chance, you are much more likely to crit mobs lower than you and less likely to crit mobs higher. Just something I've discovered while trying to find the reason behind varying crit rates with my characters.

[Nealester]

Alright I don't have all of your numbers and this is rounded to the nearest tenth so it isn't exactly accurate. But here I go anyways and this may explain your numbers.

First off I am only a 42 rogue with 180 unbuffed and never actually in game figured out my crit % but I will assume that all the constant things from skills/talents are constant and not factor them in.

Well lets first figure out our weapon crit rate.

42 x 5 = 210 weapon skill

210 x 0.04% = 8.4% crit from weapon skill.

Lets assume that blizzard is right and say that crit % form agility is agi/levelx2

(180/42)x2 = 8.5 % crit from agi

So the total is 16.9%

Now you don’t get that weapon skill crit % until about 1/3 of the way through leveling you toon. This again is an assumption but I feel relatively accurate for what we are doing.

So 1/3 of our time we are at about 8.5% and 2/3 we are at 16.9%

So our average is:

1/3(8.5%) + 2/3(16.9%) = 14.1%

Take off the weapon skill crit% which I believe the OP assumed to be constant.

14.1% - 8.4% = 5.7%

And finally see what we now think the amount of agi is needed per crit

180/5.7 = 31.6 agi/crit %.

This 31.6 is pretty close to what you have gotten but not exactly.

So basically the only problem with your numbers is that you assumed that weapon crit % was static when it actually wasn’t.

I hope this made sense to everyone. I’m willing to discuss in more detail if you want.

~Nealester