MabiMythBusters - Balance!

• Zekkii wrote on 2013-02-11 22:37

  Quote from JoeyDee9;1030947:

  Basically 80% of your maximum damage isn't your average damage with 80% balance. The reason so is because you have a max damage limiting the bell curve as this data set shows.

  
  
  It's still too minor to note, and this should have been obvious from magic.
• Mystickskye wrote on 2013-02-11 22:56
  What magic makes obvious is that your average will be less than balance at high balance because even with 100% magic balance you'll be rolling less than max damage half the time. How much of an impact this has is actually unknown because no one bothers to note their damage as being anything other than "high".
• Kaeporo wrote on 2013-02-12 00:18
  Average Damage Formula:
  
  (max-min)balance+min+(critical chance x critical multiplier x max)
  
  Example(s):
  
  Non-Critical Damage:
  (600 max - 400 min)0.8 + 400 min
  ~560
  
  Critical Damage:
  (600 max - 400 min)0.8 + 400 min + (1.5x critical multiplier x 600 max)
  ~560 + 900
  ~1460
  
  Critical Damage w/r6 Bow:
  (600 max - 400 min)0.8 + 400 min + (2.12x critical multiplier x 600 max)
  ~560 + 1272
  ~1832
  
  Average Damage w/30% critical rate
  (600 max - 400 min)0.8 + 400 min + (0.3 critical rate x 1.5x critical multiplier x 600 max)
  ~560 + ~270
  ~830
  
  Average Damage w/10% critical rate
  (600 max - 400 min)0.8 + 400 min + (0.1 critical rate x 1.5x critical multiplier x 600 max)
  ~560 + ~90
  ~650
  
  Your average damage can be divided into two parts: Normal Damage and Critical Damage
  1. Critical damage ignores the balance statistic
  2. Balance becomes less important as your character progresses.
• Mystickskye wrote on 2013-02-12 03:22
  Already "known" >_>
• Kaeporo wrote on 2013-02-12 03:54

  Quote from Mystickskye;1031137:

  Already "known" >_>

  
  
  Balance is such an unimportant statistic that I don't concern myself with its finer details.
  
  I appreciate the research, regardless.
• Johny wrote on 2013-02-12 04:09
  Another important factor to consider is the actual damage gap itself. You'll notice this with an aspiring mage. rank F ice bolt has a min max of 10~20 while lightningbolt has a min max of 1~40. Considering your balance as a newbie mage is around 30% ish, you will notice that you tend to hit the low teens with ice bolt more often than not, while with lightning bolt you hit different numbers randomly. I'm not about to get into details on why that is, but you don't have to be a statitician to figure out that your actual damage range can be broad or narrow depending on your damage range. What usually happens is, the narrower the gap, the thinner the distribution curve is, and vice versa.
• Mystickskye wrote on 2013-02-12 06:06
  Actually evidence suggests otherwise. Whether icebolt or lightning bolt the distribution spreads throughout the damage range (and slightly beyond based on your balance).

  Quote from Kaeporo;1031175:

  Balance is such an unimportant statistic that I don't concern myself with its finer details.
  
  I appreciate the research, regardless.

  What I'm saying is that I don't know why you're posting something I've known and helped spread since the early days of Mabi. That and balance is fairly important given that you need it high to make the most of your damage stats (simple for certain groups of players but that's not everyone). You can't say balance is unimportant if you don't have any and average damage calculations support this.
• Johny wrote on 2013-02-12 07:13

  Quote from Mystickskye;1031315:

  Actually evidence suggests otherwise. Whether icebolt or lightning bolt the distribution spreads throughout the damage range (and slightly beyond based on your balance).

  
  
  Yes, I understand the bell curve will spread along the damage range. However, the highest chances of damage output will be centered around a certain point which would consequently be in the highest range of the bell curve distribution. This means, that say in the case of ice bolt which has a min max of 10~20, 30% of 10 and 20 is 13. That means, the most common damage output for icebolt will be any number above or below 13, with higher numbers occurring less frequently than lower numbers. Now the actual distribution curve is much slimmer for icebolt than it is for lightningbolt because the the distance from 10 and 20 is only 10. compare that to 39 for lightningbolts' 1~40. This makes a major difference since at 30% balance, the distribution curve will be centered at 12.7 for lightningbolt, which is more or less the same value for icebolt. However, since the distance between extremes is larger, lightningbolts damage will tend to be all over the place. Of course though, it will be any number around 12.7, with higher numbers occurring less often than lower numbers.
• Mystickskye wrote on 2013-02-12 08:10
  Proportionally they won't be any different, if you were to make a histogram of the two spells with the same balance they'd look the same. If your only point is that the bigger range leads to a bigger range then you're talking about an obvious point that speaks for itself ಠ_ಠ
• Johny wrote on 2013-02-12 08:17

  Quote from Mystickskye;1031340:

  Proportionally they won't be any different, if you were to make a histogram of the two spells with the same balance they'd look the same. If your only point is that the bigger range leads to a bigger range then you're talking about an obvious point that speaks for itself ಠ_ಠ

  
  
  Actually what I meant to say is larger range= less consistency. But anyways, point taken~