Talk:Infinity Edge/@comment-178.208.198.20-20130105172500/@comment-68.109.110.108-20130202084003

"LW will boost my damage by more for the cost"

I made this statement, now I will test it.

Note:  Skip to the end if you hate math. I did the math THEN drew conclusions, which in this case led me to agree with you. Too many idiots style math to suit things they already believe, which is pointless ego stroking. In the end, I refute the null hypothosis (That LW is better for the cost). Also I assumed Lethality gave 10% crit damage instead of 5% (Which makes crit look better), this is ballanced by me not counting Frenzy at all, which would benifit whatever build has more crit (The IE one).

Lets do some math now. Assuming I'm Ashe, a fairly neutral ADC without many skills or steroids, and I'm AAing at level 18.

With Berserker Greaves, PD (Don't want to calculate shiv procs, it's a pain) and BT

We'll say she has 120 AD between runes, masteries and base, as well as a base AS of .658 and bonus AS of 64% from leveling and masteries. 8% armor pen from the mastery, as well as 210% crit damage (which will become 260% with IE).

Therefore, with LW, which adds 40 AD and nothing else, her raw damage is:  (260 AD) * (1.57 AS) * (.3*2.1 + .7 (This is bonus damage from crits)) = 544, whith a combined armor pen of 1 - (.92 * .65) = 40% armor pen

Now, with IE, it is: 290 AD * 1.57 AS * (.55*2.6 + .45) = 856, with 8% armor pen.

So for the two to equal...Well they never do actually. As the enemy gets more armor, your armor pen doesn't help as much as you think it would, IE ashe always does more damage. HOWEVER, the question was relative to cost. For the cost, first we calculate raw damage on BT + PD + Greaves ashe.

220 * 1.57 * (.3*2.1 + .7) = 459 DPS. Therefore, IE will increase her DPS by 86.5%. Because IE costs 3800 gold, for LW to equal it in terms of cost efficency, it would need to increase your damage by 2300/3800 = 60.5%.

To do this, your enemies would need 330 Armor.

In summation, you are correct. Assuming a prerequisit build of BT + PD + Greaves (And Shiv aswell, which benifits from IE even more than PE) IE is always a better item than LW for boosting your AA damage.

The exception is if you are graves or MF, in which case your AD caster style may benifit more from LW's Penetration, which makes it the far superior item for affecting skills.