Weighted Resource Average (Game Mechanics)

Weighted Resource Average
This section describes how the weighted average experimental quality is calculated based on resource attributes. Essentially, for each experimental statistic there is weighted average quality that depends on


 * a) the attributes of each resource used
 * b) the amount of each resource required by the schematic
 * c) the weighting of each attribute.

Depending on the number of resources and attributes, this can be very simple (for example, in the case of batteries, only one resource and one attribute) or very complex (multiple resources and multiple attributes, each with different weights).

Note: Fraction amounts in WRA's are carried over, not chopped off.

To illustrate examples, lightsaber and armor schematics will be used.

The Basics
When you experiment on a piece of armor, you get three options, one of which is Experimental Quality. Experimenting on experimental quality raises the base resists of the item. However, in order to know how experimentation will effect the base item, you first need to calculate the weighted average quality of the item for that particular experimental statistic.

The weighted average quality for Experimental Quality on all armor is based on the Overall Quality and Shock Resistance at a 50-50 ratio. The shock resistance of each material multiplied by the quantity used divided by the sum of the total quantites of the materials used. This will give you the average shock resistance for the item. The same process is performed for Overall Quality and a weighted average of the two (50/50 in this case) is determined. For materials that do not have one of the values (for example solid petrochem fuel), the equation simply removes that factor from the calculation.

For example, say you're making a composite helm using the following materials (we're only going to list the OQ/Shock of these theoretical materials, since that's all applies to resistances):

Intrusive Ore 800 Overall Quality, 900 Shock Resistance Shock Solid Petrochem Fuel 950 Overall Quality Nabooian Fiberplast 700 Overall Quality, 900 Shock Resistance Aluminum 600 Overall Quality, 800 Shock Resistance Beyrllius Copper 700 Overall Quality, 400 Shock Resistance Wooly Hide 900 Overall Quality, 600 Shock Resistance

You're looking effectively using the following total quality of material...

((((70*800) + (70*950) + (35*700) + (40*600) + (30*700) + (30*900)) / (70 + 70 + 35 + 40 + 30 + 30 )) + (((70*900) + (35*900) + (40*800) + (30*400) + (30*600)) / (70 + 36 + 40 + 30 + 30)))) / 2

In the above equations, the average OQ would be 796 while the average SR would be 729. Consequently, the weighted average material rating for this experimental attribute would be 762.5.

The full equation for finding the weighted average attribute quality is described below:

General equation:

OQ1: Material 1 Overall Quality SR1: Material 1 Shock Resistance n1: Number of Material 1 required in schematic

OQ2: Material 2 Overall Quality Material 2 does not have a Shock Resistance n2: Number of Material 2 required in schematic

OQ3: Material 3 Overall Quality SR3: Material 3 Shock Resistance n3: Number of Material 3 required in schematic

Variable Resource Weights
Another way of looking at the weighted averages is by examining how this system works within the confines of lightsaber construction. The following examples will be using 4th generation light saber schematics which require a total of 5 distinct resources, being Duralloy Steel, Titanium Aluminum, Polymer, Culsion Inert Gas, Polysteel Copper.

To demonstrate the equations I use the following resources:

Duralloy steel : Skisref - 40 Units
 * 611 CD
 * 974 OQ
 * 943 SR
 * 992 UT

Titanium aluminium : Vepacis - 22 Units
 * 382 CD
 * 921 OQ
 * 391 SR
 * 325 UT

Polymer : Iose - 28 Units (These resources do not have Conductivity)
 * 993 OQ
 * 785 SR
 * 982 UT

Culsion Inert Gas : Moilekit - 28 Units (These resources do not have Conductivity or Unit Toughness)
 * 942 OQ

Polysteel copper : Aloiam - 28 Units
 * 969 CD
 * 980 OQ
 * 787 SR
 * 776 UT

Lightsabers have the following experimentation lines and properties:

Experimental Damage
 * Attack Speed
 * Conductivity 50%
 * Overall Quality 50%
 * Maximum Damage
 * Conductivity 33%
 * Overall Quality 66%
 * Minimum Damage
 * Conductivity 33%
 * Overall Quality 66%
 * Wound Chance
 * Conductivity 50%
 * Overall Quality 50%

Experimental Efficiency
 * Attack Action Cost
 * Overall Quality 100%
 * Attack Health Cost
 * Overall Quality 100%
 * Attack Mind Cost
 * Overall Quality 100%
 * Force Power Cost
 * Conductivity 33%
 * Overall Quality 66%

As with the previous armor example, resources that do not have the necessary stats are effectively removed from the calculation for that particular slot. For lightsabers this applies to Culsion Inert Gas and Polymer respectively for the values UT, and CD. Even though each of the experimental properties fall under a particular experimental line, the properties remain unique from each other in that they all have their own weighted resource average calculations. The WRA's will be used to construct the experimentation lines for each individual property.

Part I.
33% CD/66% OQ Minimum Damage, Maximum Damage & Force Power Cost

The Minumum Damage, Maximum Damage and Force Power Cost properties on lightsabers all depend on Conductivity and Overall Quality at a ratio of 33%:66%. Each individual property will have its own unique weighted average. So for the Experimental Damage line, there will be 2 properties on it which will base their weighted averages off of a relation ship of 33% CD and 66% OQ. The Experimental Efficiency line will have 1 property based off of a 33% CD and 66% OQ relationship. To calculate the relationship we will obtain the weighted value for each resource stat CD and OQ respectively, then sum them at the end to obtain the weighted average for each experimental property:

Overall Quality 66%:

OQ1: Material 1 Overall Quality n1: Number of Material 1 required in schematic OQ2: Material 2 Overall Quality n2: Number of Material 2 required in schematic OQ3: Material 3 Overall Quality n3: Number of Material 3 required in schematic OQ4: Material 4 Overall Quality n4: Number of Material 4 required in schematic OQ5: Material 5 Overall Quality n5: Number of Material 5 required in schematic

Weighted Average For OQ

( ((OQ1 x n1) + (OQ2 x n2) + (OQ3 x n3) + (OQ4 x n4) + (OQ5 x n5)) ) (n1 + n2 + n3 + n4 + n5) ( 2/3 )

( 38960 + 20262 + 27804 + 26376 + 27440 ) / ( 146 / (2/3) )

146 / (2/3) = 219

140842 / 219 = 643.1141553 WRA of OQ

Conductivity 33%

CD1: Material 1 Conductivity n1: Number of Material 1 required in schematic CD2: Material 2 Conductivity n2: Number of Material 2 required in schematic CD3: Material 3 Conductivity n3: Number of Material 3 required in schematic

Weighted Average For CD

(( ((CD1 x n1) + (CD2 x n2) + (CD3 x n3)) ) (n1 + n2 + n3)

( 1/3 )

(24440 + 8404 + 27132 ) / (90 / (1/3) )

90 / (1/3) = 270

59976 / 270 = 222 WRA of CD

To get the weighted average for Min/Max Damage and Force cost you add up the numbers for Overall Quality and Conductivity.

Weighted average of OQ + weighted average of CD = weighted average for each property; Min/Max Damage and Force cost.

222 + 643.1141553 = 865.2474886 WRA

Final Averages

Minumum Damage = 865.2474886 WRA Maximum Damage = 865.2474886 WRA Force Power Cost = 865.2474886 WRA

Part II.
100% OQ Health, Action and Mind Cost   

The Attack Action, Attack Health, and Attack Mind Cost properties on lightsabers all depend on Overall Quality at a ratio of 100%. Each individual property will have its own unique weighted average. So for the Experimental Efficiency line, there will be 3 properties on it which will base their weighted averages off of a relation ship of 100% OQ. To calculate the relationship we will obtain the weighted value for the stat OQ, then sum them at the end to obtain the weighted average for each experimental property:

Overall Quality 100%:

OQ1: Material 1 Overall Quality n1: Number of Material 1 required in schematic OQ2: Material 2 Overall Quality n2: Number of Material 2 required in schematic OQ3: Material 3 Overall Quality n3: Number of Material 3 required in schematic OQ4: Material 4 Overall Quality n4: Number of Material 4 required in schematic OQ5: Material 5 Overall Quality n5: Number of Material 5 required in schematic

Weighted average for OQ

( ((OQ1 x n1) + (OQ2 x n2) + (OQ3 x n3) + (OQ4 x n4) + (OQ5 x n5)) ) -- (n1 + n2 + n3 + n4 + n5)

(974 x 40) + (921 x 22) + (993 x 28) + (942 x 28) + (980 x 28) / (40 + 22 + 28 + 28 + 28) =

140842 / 146 = 964.67123287671232876712328767123

Weighted average OQ = weighted average Health, Action and Mind cost

Final Averages

Attack Action Cost = 964.67123287671232876712328767123 WRA Attack Health Cost = 964.67123287671232876712328767123 WRA Attack Mind Cost = 964.67123287671232876712328767123 WRA

Part III.
Wound chance - 50% SR / 50% UT

The Wound Chance property on lightsabers depends on Shock Resistance and Unit Toughness at a ratio of 50% / 50%. Each individual property will have its own unique weighted average. So for the Experimental Damage line, there will be 1 properties on it which will base their weighted averages off of a relation ship of 50% SR and 50% UT. To calculate the relationship we will obtain the weighted value for the stat SR and UT, then sum them at the end to obtain the weighted average for each experimental property:

Shock Resistance 50%:

SR1: Material 1 Shock Resistance n1: Number of Material 1 required in schematic SR2: Material 2 Shock Resistance n2: Number of Material 2 required in schematic SR3: Material 3 Shock Resistance n3: Number of Material 3 required in schematic SR4: Material 4 Shock Resistance n4: Number of Material 4 required in schematic

Weighted Average For SR

( ((SR1 x n1) + (SR2 x n2) + (SR3 x n3) + (SR4 x n4)) ) -- (n1 + n2 + n3 + n4) -- ( 1/2 )

( 943 x 40 ) + (391 x 22) + (785 x 28 ) + (787 x 28 ) - 40 + 22 + 28 +28 -- 1/2

37720 + 8602 + 21980 + 22036

118 / (1/2) = 236

90338 / 236 = 382.78813559322033898305084745763 WRA for Sock Resist

Unit Toughness 50%:

UT1: Material 1 Unit Toughness n1: Number of Material 1 required in schematic UT2: Material 2 S Unit Toughness n2: Number of Material 2 required in schematic UT3: Material 3 Unit Toughness n3: Number of Material 3 required in schematic UT4: Material 4 Unit Toughness n4: Number of Material 4 required in schematic

Weighted Average For UT

( ((UT1 x n1) + (UT2 x n2) + (UT3 x n3) + (UT4 x n4)) ) -- (n1 + n2 + n3 +n4) -- ( 1/2 )

(992 x 40 ) + (325 x 22 ) + (982 x 28 ) + (776 x 28 )

-- 40 + 22 + 28 + 28

--

1/2

(39680 + 7150 + 27496 + 21728 ) ---

118 / (1/2) = 236

96054 / 236 = 407.00847457627118644067796610169 WRA for UT.

Weighted average SR + weighted average UT = Weighted average Wound Chance

Final Averages Wound Chance = 789.79661016949152542372881355929 WRA

Part IV.
Speed – 50% CD / 50% OQ:

The Attack Speed property on lightsabers depends on Overall Quality and Conductivity at a ratio of 50% / 50%. Each individual property will have its own unique weighted average. So for the Experimental Damage line, there will be 1 properties on it which will base their weighted averages off of a relation ship of 50% CD and 50% OQ. To calculate the relationship we will obtain the weighted value for the stat CD and OQ, then sum them at the end to obtain the weighted average for each experimental property:

Overall Quality 50%

OQ1: Material 1 Overall Quality n1: Number of Material 1 required in schematic OQ2: Material 2 Overall Quality n2: Number of Material 2 required in schematic OQ3: Material 3 Overall Quality n3: Number of Material 3 required in schematic OQ4: Material 4 Overall Quality n4: Number of Material 4 required in schematic OQ5: Material 5 Overall Quality n5: Number of Material 5 required in schematic

Wighted Resource Average for OQ

(( ((OQ1*n1) + (OQ2*n2) + (OQ3*n3) + (OQ4*n4) ) + (OQ5*n5)) ) = Weighted average OQ - (n1+n2+n3+n4+n5) - ( 1/2 )

(974 x 40 ) + (921 x 22 ) + (993 x 28 ) + (942 x 28 ) + (980 x 28 )

---

40 + 22 + 28 +28 + 28

-

1/2

38960 + 20262 + 27804 + 26376 + 27440

---

146

1/2

146 / ( 1/2) = 292

140842 / 292 = 482.33561643835616438356164383562 WRA for OQ

Conductivity 50%:

CD1: Material 1 Conductivity n1: Number of Material 1 required in schematic CD2: Material 2 Conductivity n2: Number of Material 2 required in schematic CD3: Material 3 Conductivity n3: Number of Material 3 required in schematic

Wighted Resource Average for CD

( ((CD1 x n1) + (CD2 x n2) + (CD3 x n3)) ) --- (n1 + n2 + n3) --- ( 1/2 )

( 611 x 40 ) + ( 382 x 22 ) + (969 x 28 ) --- 40 + 22 + 28 --- 1/2

24440 + 8404 + 27132 - 90

90 / (1/2) = 180

59976 / 180 = 333.2 WRA for CD

Weighted average CD + weighted average OQ = Weighted average Speed

Final Average

Attack Speed = 815.5356164383561643835616438356 WRA

Resource Weight Ratios
The following is a list of currently known resource weight ratios available to crafted items.

1.) 50%/50% 2.) 33% / 66%  3.) 100%  4.) 25% / 25% / 50%  5.) 25% / 75%  6.) 20% / 50% / 30%  7.) 75% / 25%  8.) 66% / 33%  9.) 33% / 33% / 33%  10.) 50% / 25% / 25%  11.) 40% / 20% / 40%  12.) 60% / 40%  13.) 66% / 16% / 16%  14.) 40% / 60%  15.) 25% / 25% / 25% / 25%