Combat Ratings at level 85 (Cataclysm) - Page 37

Warrok · 09/30/10, 10:23 PM

Originally Posted by Kurtov

Does this mean that parry still has a lower cap than dodge, even though they now have the same mechanics? Logically, parry should have the same cap as dodge.

A quick test on the PTR tells me that the cap was changed. I took a DK with ~880 dodge and ~690 parry and reforged some dodge to parry. My avoidance totals (dodge + parry) grew up to some point (at which parry was slightly higher than dodge which I find a bit odd but anyway) until after the total declined again. So this is not really exact but they appear to be somewhat equalized.

I actually wanted to test it on the warrior as I have a lot more gear available, though the PTR decided to permanently disconnect me on this character. Maybe someone else can do a little bit more in depth analysis.

Whitetooth · 09/30/10, 11:14 PM

Originally Posted by Warrok

A quick test on the PTR tells me that the cap was changed. I took a DK with ~880 dodge and ~690 parry and reforged some dodge to parry. My avoidance totals (dodge + parry) grew up to some point (at which parry was slightly higher than dodge which I find a bit odd but anyway) until after the total declined again. So this is not really exact but they appear to be somewhat equalized.

I actually wanted to test it on the warrior as I have a lot more gear available, though the PTR decided to permanently disconnect me on this character. Maybe someone else can do a little bit more in depth analysis.

I'll try do some tests this weekend if I get the time too.

Yörgle · 10/01/10, 5:24 AM

I'd appreciate the ratio between agility and dodge for war / pal / dk who are 85 if somebody can provide that. =)
If I level 85 with my DK before it's posted, i'll give the ratio for this class.

Whitetooth · 10/02/10, 5:13 AM

First post updated with 4.0.1.13117 base dodge values, this is needed for dodge/agi.

Whitetooth · 10/02/10, 10:40 AM

I stumbled upon something else when checking avoidance dr caps, and I took a detour of figuring out the resistance formula for all levels up to level 88.

Thanks to Shamgarr's great post on the "Resistance Mechanics in WotLK", we have two good formulas that accurately describe:
1. The average damage reduction( $\overline{DR}$ ), given the resistance value( $Resist$ ) and a level dependent constant( $C_R$ ):

$\overline{DR}=\frac{Resist}{Resist+C_R}$

2. The probability of each partial resist( $P(X)$ ), given the average damage reduction:

$P(X)=0.5-2.5\times|X - \overline{DR}|$

But there was one last piece of the puzzle that was left unsolved, the formula for the level dependent resistance constant which I shell show in this post.

First, I have verified that the average damage reduction formula in Cataclysm (4.0.3.13117) hasn't changed and that the level 80 constant is indeed 400.
Up until now, the level 83 constant(for wotlk bosses) has not been accurately identified, it was narrowed down to somewhere between 506 and 514 and assumed to be 510.
My findings show that the constant for level 83 is exactly 506.5.

In 4.0.1, Blizzard added a new API that takes a level and a resistance value and returns the average damage reduction percentage.
The resistance constant is actually the given resistance value, where you get a average damage reduction of 50%.
So I quickly whipped up some addon code that gives me the 50% resistance value from level 1 to 100, and it gave me this:

50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,52.5,55,57.5,60,62.5,65,67.5,70,72.5,75,77.5,80,82.5,85,87.5,90,92.5,95,97.5,100,102.5,105,107.5,110,112.5,115,117.5,120,122.5,125,127.5,130,132.5,135,137.5,140,142.5,145,147.5,150,143.5,139,136.5,136,137.5,141,146.5,154,163.5,175,188.5,204,221.5,241,262.5,286,311.5,339,368.5,400,433.5,469,506.5,546,587.5,631,676.5,724,773.5,825,878.5,934,991.5,1051,1112.5,1176,1241.5,1309,1378.5,1450

From these numbers we can derive the resistance constant formula to be:
Level 1 to 20: $C_R=50$
Level 21 to 60: $C_R=50 + (level - 20) \times 2.5$
Level 61 to 100: $C_R=150 + (level - 60) \times (level - 67.5)$

Using this formula, we can calculate the resistance constant at level 83 to be 150+(83-60)*(83-67.5)=506.5

And a quick reference table:

Resistance Values (Rounded to the first decimal)
Average Damage Reduction \ Levels	60	70	80	81	82	83	84	85	86	87	88
5%	7.9	9.2	21.1	22.8	24.7	26.7	28.7	30.9	33.2	35.6	38.1
10%	16.7	19.4	44.4	48.2	52.1	56.3	60.7	65.3	70.1	75.2	80.4
15%	26.5	30.9	70.6	76.5	82.8	89.4	96.4	103.7	111.4	119.4	127.8
20%	37.5	43.8	100.0	108.4	117.3	126.6	136.5	146.9	157.8	169.1	181.0
25%	50.0	58.3	133.3	144.5	156.3	168.8	182.0	195.8	210.3	225.5	241.3
30%	64.3	75.0	171.4	185.8	201.0	217.1	234.0	251.8	270.4	289.9	310.3
35%	80.8	94.2	215.4	233.4	252.5	272.7	294.0	316.3	339.8	364.3	389.8
40%	100.0	116.7	266.7	289.0	312.7	337.7	364.0	391.7	420.7	451.0	482.7
45%	122.7	143.2	327.3	354.7	383.7	414.4	446.7	480.7	516.3	553.5	592.4
50%(Resistance Constant)	150.0	175.0	400.0	433.5	469.0	506.5	546.0	587.5	631.0	676.5	724.0
55%	183.3	213.9	488.9	529.8	573.2	619.1	667.3	718.1	771.2	826.8	884.9
60%	225.0	262.5	600.0	650.3	703.5	759.8	819.0	881.3	946.5	1014.8	1086.0
65%	278.6	325.0	742.9	805.1	871.0	940.6	1014.0	1091.1	1171.9	1256.4	1344.6
70%	350.0	408.3	933.3	1011.5	1094.3	1181.8	1274.0	1370.8	1472.3	1578.5	1689.3
75%	450.0	525.0	1200.0	1300.5	1407.0	1519.5	1638.0	1762.5	1893.0	2029.5	2172.0

Also using this API, we can varify that the damage reduction is capped at 75% like armor reduction.

Whitetooth · 10/03/10, 1:02 PM

Avoidance DR Mechanics in Cataclysm

The DR formula remains the same:

$\frac{1}{x'} = \frac{1}{c}+\frac{k}{x}}$

where
$x'$ is the avoidance after DR.
$x$ is the avoidance before DR.
$c$ is a class dependent cap of the stat.
$k$ is also a class dependent constant.

What has changed:

Dodge and Parry caps( $C_d$ , $C_p$ ) for Warriors, Paladins, and Death Knights are now the same.
With Defense Rating removed, there is no longer a way to increase chance to be missed. Therefore $C_m$ is also removed.

Warriors, Paladins, and Death Knights now all get 25% Strength as Parry Rating as a base skill, with all decimals floored.

The updated table for 4.0.3.13117:

	$k$	$C_p$	$1/C_p$	$C_d$	$1/C_d$
Warrior	0.9560	65.631440	0.01523660	65.631440	0.01523660
Paladin	0.9560	65.631440	0.01523660	65.631440	0.01523660
Hunter	0.9880	145.560408	0.006870	145.560408	0.006870
Rogue	0.9880	145.560408	0.006870	145.560408	0.006870
Priest	0.9830	N/A	N/A	150.375940	0.006650
Death Knight	0.9560	65.631440	0.01523660	65.631440	0.01523660
Shaman	0.9880	145.560408	0.006870	145.560408	0.006870
Mage	0.9830	N/A	N/A	150.375940	0.006650
Warlock	0.9830	N/A	N/A	150.375940	0.006650
Druid	0.9720	N/A	N/A	116.890707	0.008555

Base Dodge and Dodge/Agi table for 4.0

	Base Agi	Lv80 Dodge/Agi	Lv80 Agi/1%Dodge	Lv85 Dodge/Agi	Lv85 Agi/1%Dodge
Warrior	3.7580	0.01359620	73.54996004	0.002321840	430.69289874
Paladin	3.6520	0.01923890	51.97802369	0.003283990	304.50762639
Hunter	-5.450	0.01332660	75.03789414	0.002272730	439.99947200
Rogue	-0.590	0.02405370	41.57364309	0.004106500	243.51637648
Priest	3.1830	0.01923660	51.98423838	0.003289470	304.00034048
Death Knight	3.6640	0.01359620	73.54996249	0.002321840	430.69289874
Shaman	1.6750	0.01923660	51.98423594	0.003289470	304.00034048
Mage	3.4575	0.01952530	51.21560232	0.003331530	300.16238785
Warlock	2.0350	0.01923660	51.98423838	0.003285640	304.35470715
Druid	4.9510	0.02404580	41.58730423	0.004105380	243.58281085

Thanks to:

Hinalover: Level 80 data from different races for Mage, Priest, and Death Knight. (source)
Althor: Level 85 data from different races for Shaman, Hunter, Rogue, and Warlock. (source)

Just like before, I'm unable to complete the whole table by myself. Because I can only have so many premades, I'm looking for a few contributors to fill in the missing cells.
Please help with level 85 cells if you have access to Cataclysm Beta premades/toons.

If you'd like to contribute but don't want to waste time on the calculations, I've coded all the required math in my addon LibStatLogic.

Download and Install the latest alpha version(r107 or newer) of LibStatLogic in your Beta Addons directory. LibStatLogic-1.1-r107.zip
Log on one of the class/level combinations with missing data
Unlearn all talents
Make sure you DON'T have any buffs on you(especially Kings and MotW!)
Take off all of your gear(Unless you are a 85 hunter, then you need to have enough gear on so you don't have 0% dodge)
Type:
```
/dump StatLogic:GetDodgePerAgi()
```
You should see something like this: (This is the result for a level 80 Hunter)

Thanks!

ziff · 10/03/10, 11:07 PM

I noticed that there was a new calculation for the armor mitigiation constant on the top posting. So is the current theory that the following calculation is no longer relevant for level 81 - 85?

C=400+85*targetlevel+4.5*85*(targetlevel-59)

I'm specifically referring to the constant used to figure out effective armor pentatration from, Armor penetration - WoWWiki - Your guide to the World of Warcraft. Using that calculation, the constant would be 17570 but it seems the new proposed constant is 26070. Am I correct in thinking that we should be using 26070 as the constant to figure out the effective armor penetration?

Whitetooth · 10/04/10, 1:22 AM

Originally Posted by ziff

I noticed that there was a new calculation for the armor mitigiation constant on the top posting. So is the current theory that the following calculation is no longer relevant for level 81 - 85?

C=400+85*targetlevel+4.5*85*(targetlevel-59)

I'm specifically referring to the constant used to figure out effective armor pentatration from, Armor penetration - WoWWiki - Your guide to the World of Warcraft. Using that calculation, the constant would be 17570 but it seems the new proposed constant is 26070. Am I correct in thinking that we should be using 26070 as the constant to figure out the effective armor penetration?

Correct. But the ArP stat has been removed. Are there classes that still has ArP?

dustdog · 10/04/10, 2:03 AM

Colossus Smash(trainable ability) for warriors allows them to bypass all armour for 6 seconds, 20 second cooldown. Seems like that might be about it.

Shan · 10/04/10, 3:29 AM

Originally Posted by Whitetooth

Correct. But the ArP stat has been removed. Are there classes that still has ArP?

While technically not ArP, Shattering Throw still reduces armor by 20%.

Hinalover · 10/04/10, 8:34 PM

Using 4.0.1 PTR (13131) Release version

I had the race change option available and wanted to see if there was any variation to race/class combo. There is a small variation but it doesn't look all that major.

80 Mage

Troll - 0.01952594409858
Undead - 0.019525306515577
BE - 0.019525294409858
Human - 0.019525305725807
Gnome - 0.01952594409858
Draenei - 0.019525300979614

80 Priest

Human - 0.01923603755577
Dwarf - 0.01923659639412
NE - 0.019236600910534
Draenei - 0.019236606200536

80 DK

Human - 0.013596198695047
Dwarf - 0.013596199494821
NE - 0.013596202061094
Gnome - 0.013596196224815
Draenei - 0.013596198195711

Orc - 0.013596198195711
Undead - 0.013596196920222
Tauren - 0.013596199494821
Troll - 0.013596196224815
BE - 0.013596196224815

If you want I can do this for druids, hunters, and paladins as well, since those are the other 3 classes I have on the PTR.

Edit: created a few premades; updating info for priests and DKs

Whitetooth · 10/05/10, 11:36 AM

Originally Posted by Hinalover

Using 4.0.1 PTR (13131) Release version

I had the race change option available and wanted to see if there was any variation to race/class combo. There is a small variation but it doesn't look all that major.

80 Mage

Troll - 0.01952594409858
Undead - 0.019525306515577
BE - 0.019525294409858
Human - 0.019525305725807
Gnome - 0.01952594409858
Draenei - 0.019525300979614

80 Priest

Human - 0.01923603755577
Dwarf - 0.01923659639412
NE - 0.019236600910534
Draenei - 0.019236606200536

80 DK

Human - 0.013596198695047
Dwarf - 0.013596199494821
NE - 0.013596202061094
Gnome - 0.013596196224815
Draenei - 0.013596198195711

Orc - 0.013596198195711
Undead - 0.013596196920222
Tauren - 0.013596199494821
Troll - 0.013596196224815
BE - 0.013596196224815

If you want I can do this for druids, hunters, and paladins as well, since those are the other 3 classes I have on the PTR.

Edit: created a few premades; updating info for priests and DKs

Thanks for the complete data for Mage, Priest, and Death Knight, I've updated the table with your numbers.
Would be great if you could provide data for Druids and Hunters for verification(Paladins have been verified).
Note that Hunters are a bit tricky, if the hunter has 0% dodge, you need to put on enough gear until it has more then 0% dodge before running the script.

Hinalover · 10/05/10, 12:11 PM

80 Druid

NE - 0.024045796993167
Tauren - 0.024045794120202

80 Hunter

Dwarf - 0.013326600433262
NE - 0.013326600822697
Draenei - 0.013326600669595

Orc - 0.01332660066595
Tauren - 0.013326600433262
Troll - 0.013326600495986
BE - 0.013326600495986

80 Priest (Horde)

Undead - 0.019236605352285
Troll - 0.019236602279375
BE - 0.019236602279375

Lastly I do have a few more transfers I can do. I can do this also for Rogues, and any 2 other premades you want me to make. I could quickly finish leveling my warlock from 77 to 80 and get those numbers as well

Rouncer · 10/05/10, 5:11 PM

Originally Posted by Whitetooth

Correct. But the ArP stat has been removed. Are there classes that still has ArP?

It's more about sorting out the DR for bosses for EnhSim and determining what armor value we should be including in the default level 85 config.

I did some playing around with the Raid Boss Dummy on the Beta at level 85 and determined it was running 31.55% damage reduction. White 2H Axe with a damage range of 1367 - 1373 on the character panel gave a damage range of 936 - 940 on that Dummy. Using that new formula showed an armor value of 12016 and Ziff just wanted to check on that new formula before it gets incorporated into the sim.

Anecdotally Gonk beast lored a level 87 beast mob in a normal instance run and it showed 11682 armor.

Whitetooth · 10/06/10, 1:02 AM

Originally Posted by Hinalover

80 Druid

NE - 0.024045796993167
Tauren - 0.024045794120202

80 Hunter

Dwarf - 0.013326600433262
NE - 0.013326600822697
Draenei - 0.013326600669595

Orc - 0.01332660066595
Tauren - 0.013326600433262
Troll - 0.013326600495986
BE - 0.013326600495986

80 Priest (Horde)

Undead - 0.019236605352285
Troll - 0.019236602279375
BE - 0.019236602279375

Lastly I do have a few more transfers I can do. I can do this also for Rogues, and any 2 other premades you want me to make. I could quickly finish leveling my warlock from 77 to 80 and get those numbers as well

Very nice, that confirms all level 80 values except Rogue. Please do Rogues if you have time, thanks