Stat Calculation (normalized stats)

Introduction

Stats feed your character's abilities and likewise, they also feed your opponents abilities. The balance between these opposite sides is important for the game's difficulty.

In-game, stats are acquired from quite a number of sources and through it's history, the game has gone through a number of methods of calculating these stats. In the beginning, calculations were quite simple, with a value being the level * constant + optional some base value. This is a so-called Linear Function and produces a straight line in a graph. This was fine when the game's difficulty had a straight progress within a single entity as it started out with. However, with an increasing amount of expansions being added, this couldn't be maintained.

The solution was the introduction of a new system with 2 segments, based on level, with the split around level 75-76, item level 79-80. Old items were not updated, but newly introduced items were using the new system. Not many character level based stats were changed however. This all resulted in an incoherent system with stats progressing in different directions.

This brings us to the current system (introduced with Mordor expansion) and solution to the progression problems from the past: the Normal(ized) Progression or Standard Progression.

Standard Progression

The standard progression is like the previous systems, but uses a lot more straight lines which are between start and end points. These points are level based again, and so loosely based on level increases by expansions.
The standard progression needs to be fed with a progression base value, which is the other parameter besides level, and in return gives progression points.
Note that the Standard Progression is not used directly for calculating stats, but you can say it's the mother of all. Other progressions inherit directly from it, but add some flavor of their own.

Standard Progression Table

In the following table you can see all the 'graph' points. Each level based point has an associated progression multiplier. The number of progression points can be calculated as: Progression Multiplier * Progression Base Value and the result is optionally rounded (at the level 76 point to 100s).
The Relative Increase column shows the relative progression percentage from the end point in the previous section. Like for U21:Mordor, points 7&8: at level 106 the relative increase is +20% from level 105 and at level 115 this is +100% from level 105. The first section until level 75 is an exception and progresses 1 per level.

Point Number	Character Level	Progression Multiplier	Rounded to	Relative Increase	Related Game Updates
1	1	1		+1 per Level	up to U7:Shades of the Past
2	75	75
3	76	82.5	100	~ +10%	U8:Riders of Rohan – U17:The Siege of Minas Tirith
4	100	150		+100%
5	101	165		+10%	U18:The Battle of Pelennor Fields
6	105	225		+50%
7	106	270		+20%	U21:Mordor
8	115	450		+100%
9	116	495		+10%	U23:Where Dragons Dwell
10	120	1125		+150%
11	121	1575		+40%	U25:Minas Morgul
12	130	3150		+180%

Standard Progression Graph

Here is a graph of the Standard Progression. You can see that it's overall hyperbolic in shape. The start levels go up slowly, but at end levels this changes very rapidly.

Calculation Example

Calculation Example of progression points with ProgB (Progression Base Value) = 270 (Mastery, see Progression Base Values):

Point Number	Character Level	Progression Multiplier	ProgMP * ProgB	Rounded	Progression Points
1	1	1	270		270
2	75	75	20250		20250
3	76	82.5	22275	22300	22300
4	100	150	27000		27000
5	101	165	44550		44550
6	105	225	60750		60750
7	106	270	72900		72900
8	115	450	121500		121500
9	116	495	133650		133650
10	120	1125	303750		303750
11	121	1575	425250		425250
12	130	3150	850500		850500

Progression Base Values

ProgB values grouped and sorted by value. You can see that the percentage calculation isn't always using the same value as in the calculation of the associated rating.

ProgB Value	Group	Percentage	Main & Rating
10	Health		ICMR, NCMR, Vitality
20	Power		ICPR, NCPR, Power
40	Main		Agility, Fate, Might, Will
280/3	Light Mit.	Mitigations(Light)	Light Armour
382/3	Medium Mit.	Mitigations(Medium)	Medium Armour, Physical Mitigation, Tactical Mitigation
130	Morale		Morale
174	Heavy Mit.	Mitigations(Heavy)	Heavy Armour
200	Low	B/P/E Chance, Critical Defence, Critical Hit Chance, Finesse, Incoming Healing, Resistance	Block/Parry/Evade, Critical, Critical Defence, Finesse, Incoming Healing, Resistance
270	Mastery	Physical Damage, Tactical Damage	Physical Mastery, Tactical Mastery
350	Partial B/P/E	Partial B/P/E Chance, Partial B/P/E Mitigation
400	Medium	Devastating Hit Chance, Outgoing Healing	Outgoing Healing
500	High	Critical/Devastating Hit Magnitude

B-rating Progression (Percentage Calculation)

The progression of B-ratings as used in Rating to percentage formula inherits from the Standard Progression, but adds some modifications:

• For levels up to 75: the Progression Base Value is rounded before multiplying it with the Progression Multiplier.
• For levels above 75: values calculated from the straight lines between the starting and end points (so only between, not including start or end) are rounded to 10s.
• In the second and third section the lines are beginning as usual at starting points 3(lvl76) & 5(lvl101), but after these points a new line is created which starts at the end level of the previous section, but with the starting value of current section.
  

This graph makes clear what's happening around lvl76 (lvl101 similar). Black is the resulting progression. Red is section 1 (points 1 & 2), yellow is from end point section 1 to start point section 2 and green is the modified line which is followed after the start point of section 2.

Calculation Example

Calculation Example of B-ratings with ProgB (Progression Base Value) = 382/3 (Medium Mitigations, see Progression Base Values):

Point Number	Level Range	Character Level	Progression Multiplier	ProgB	Rounded	ProgMP * ProgB	Rounded	B-rating
1	1-75	1	1	382/3	127	127		127
2		75	75	382/3	127	9525		9525
3	76	76	82.5	382/3		10505	10500	10500
3'	77-100	75
4		100	150	382/3		19100		19100
5	101	101	165	382/3		21010		21010
5'	102-105	100
6		105	225	382/3		28650		28650
7	106-115	106	270	382/3		34380		34380
8		115	450	382/3		57300		57300
9	116-120	116	495	382/3		63030		63030
10		120	1125	382/3		143250		143250
11	121-130	121	1575	382/3		200550		200550
12		130	3150	382/3		401100		401100

B-rating for level 65 = (127 * (75-65) + (65-1) * 9525) / (75-1) = (127*10 + 64*9525) / 74 = (1270+609600)/74 = 610870/74 = 8255
B-rating for level 75 = 9525
B-rating for level 76 = 10500
B-rating for level 77 = (10500 * (100-77) + (77-75) * 19100) / (100-75) = (10500*23 + 2*19100) / 25 = (241500+38200)/25 = 279700/25 = 11188 rounded to 10s: 11190

Stat Progression (Stat Calculation)

Stat Progression, like B-rating Progression, inherits directly from the Standard Progression and adds a modification:

• For levels up to 75: the Progression Base Value is rounded before multiplying it with the Progression Multiplier.

Stat Progression functions as the base of all character level(traits/effects) and item level(item stats) based progressions.

Trait/Effect Progressions (Character Level based)

Trait/Effect Progressions are used in character level based stats which appear in trait trees, (skill)effects, etc. The remarkable change from Stat Progression is the omission of lower level points until level 105. This means that we get a straight progression line from level 1 to 105. The net result is a boost of these stats in the lower level area.

Point Number	Character Level	Progression Multiplier
1	1	1
2	105	225
3	106	270
4	115	450
5	116	495
6	120	1125
7	121	1575
8	130	3150

Vitality

Vitality stat progression gets another change on top in the shape of an extra point at character level 50. With progression multiplier of 30 (instead of 1 per level = 50) this results in a nerf of Vitality at lower levels.
The character level 116 point is weirdly missing in this progression.

Point Number	Character Level	Progression Multiplier
1	1	1
2	50	30
3	105	225
4	106	270
5	115	450
6	120	1125
7	121	1575
8	130	3150

Item Progressions (Item Level based)

Item stat Progressions are item level based, but inherit from Stat Progression which is character level based. To do this, the item level needs to be converted. This is accomplished by using the following mapping table. Note that item level to character level conversion (or vice versa) may result in fractured numbers which must not be rounded.

Point Number	Character Level	Item Level
1	1	1
2	75	79
3	76	80
4	100	200
5	101	205
6	105	225
7	106	300
8	115	349
9	116	350
10	120	399
11	121	400
12	130	449

We can distinguish 3 item level based stat progressions.

Low

This item stat progression adds 2 points (item level 25 and 50) and takes away 1 (item level 79).
The item level 205 point is not used as with all item stat progressions.
Item stat Progression Low is used for: Morale, Vitality.

Point Number	Item Level	Progression Multiplier
1	1	1
2	25	15.2
3	50	30
4	80	82.5
5	200	150
6	225	225
7	300	270
8	349	450
9	350	495
10	399	1125
11	400	1575
12	449	3150

Medium

This item stat progression adds a new point item level 25.
The item level 205 point is not used as with all item stat progressions.
Item stat Progression Medium is used for all, except the stats mentioned for Low & High.

Point Number	Item Level	Progression Multiplier
1	1	1
2	25	25
3	79	75
4	80	82.5
5	200	150
6	225	225
7	300	270
8	349	450
9	350	495
10	399	1125
11	400	1575
12	449	3150

High

This item stat progression makes no significant changes to its Stat Progression inheritance apart from the item level 205 point which is missing here as well.
Item stat Progression High is used for: ICMR, ICPR, NCMR, NCPR, Power.

Point Number	Item Level	Progression Multiplier
1	1	1
2	79	75
3	80	82.5
4	200	150
5	225	225
6	300	270
7	349	450
8	350	495
9	399	1125
10	400	1575
11	449	3150

Progression Adjustments

Most progressions receive adjustments targeted at specific stats in specific level ranges. These are values (can be seen as percentages) which need to be multiplied with the original progression points from the progressions above.

• Character Level	Main, Ratings	Vitality
  1	1	1
  -	-	-
  -	-	-
  50	-	1
  75	-	-
  76	-	-
  100	-	-
  101	-	-
  105	0.8	1
  106	1	1
  115	1	1
  116	1	-
  120	1	0.8
  121	1	24/35
  130	0.9	38/63

• Item Level	L Morale	L Vitality	M Armour, Food-Resist.	M Mitigations (old)	M Main	M Physical Mitigation	M Ratings	H ICMR, NCMR	H Power, ICPR, NCPR
  1	0.5	0.5	1	0.5	0.5	0.5	0.5	1	1
  25	0.5	0.5	1	0.5	0.5	0.5	0.5	-	-
  50	1	1	-	-	-	-	-	-	-
  -	-	-	-	-	-	-	-	-	-
  79	-	-	1	1	0.8	0.8	0.8	1.04	1
  80	1	1	1	1	0.8	0.8	0.8	1	1
  200	1	1	1	1	0.8	1	0.8	1	1
  205	-	-	-	-	-	-	-	-	-
  225	1	1	1	1	1	1	1	1	1
  300	1	1	1	1	1	1	1	1	1
  349	1	1	1	1	1	1	1	1	1
  350	1	95/99	1	1	1	1	1	95/99	120/110
  399	0.8	38/45	1	1	1	1	1	38/45	0.8
  400	22/35	76/105	0.9	1	1	0.9	1	76/105	22/35
  449	20/35	38/63	0.9	1	0.9	0.9	0.9	38/63	63/189

You can see that in the Mordor section, the expansion for which the system initially was designed, the progression is not changed at all. The 0.8s in lower sections also came initially. Later expansions came with more nerfs, especially to morale and power related stats.
U25.4 came with 0.5/50% nerfs for the lowest segment. These nerfs are not as serious as it looks here, as the amount of stat points on lower level items were adjusted as well.

Point Multiplier Values

PntMP values grouped and sorted by value. Multiplied with progression points, this results in the value for 1 stat point.
The final value from the number of stat points for main stats (Agility, Fate, Might, Vitality, Will) needs to be rounded down.

PntMP Value	Group	Main & Rating
351/13000	Main	Agility, Fate, Might, Will
400/13000	Morale	Morale
468/13000	Mastery	Physical Mastery, Tactical Mastery
650/13000	Power	Power
663/13000	CritHit	Critical
780/13000	Ratings	Block/Parry/Evade, Critical Defence, Finesse, Incoming Healing, Outgoing Healing, Resistance
24/380	TacMit	Tactical Mitigation
27/380	Mitigations	Physical/Tactical Mitigation (old)
45/380	PhyMit	Physical Mitigation
1625/13000	Vitality	Vitality
7800/13000	ICMR	ICMR
9750/13000	ICPR	ICPR
39000/13000	NCPR	NCPR
78000/13000	NCMR	NCMR

Stat Calculation Flow Diagram

This is an overview of how stats are calculated and of the inheritance of the various progressions.

See also

• Stat Caps
• LOTRO Ratings Calculator by Giseldah
• CalcStat calculation package by Giseldah