2014-06-02, 12:07 AM
Stat ratios are based on the damage formula which is: WeaponMultiplier * Attack * (4 * MainStat + Substat)/100. It's not exact because SubStat is excluded, but it's a good estimate. I'll explain how it works.
Because WeaponMultiplier and 100 are constants, you can focus on Attack, MainStat and Substat.
(4 * MainStat + Substat) is clearly increased most by adding to MainStat and Substat is quite small compared 4 * Mainstat, so we ignore SubStat to determine our ratio. This simplifies our formula to: Attack * 4 * Mainstat * Constants
Once again, we pull out constants (4 in this case) so we are left with the simplified damage formiula: Constants * Attack * Mainstat. This is where stat ratios come from. %attack and %stat are treated as constant coefficients to their respective terms, so they can be pulled out as well.
In order to maximize range, we want to maximize both Attack and Mainstat. As said before the optimal ratio of attack to %stat is 1:1 (look up Mathematical Optimization if you don't understand why). However, we are limited by the scrolls and slots the game gives us. When you are unsure of which scrolls you should use on a piece of armor, you can use your stat ratio as a rough estimate.
For example, say you have 700 attack and 2100 stat before potentials. This means your ratio is 1:3. In other words, one attack is roughly the same damage increase as 3 stat. If you have the choice between a scroll that adds 10 stat and chaos, you'd need to add 3.33 attack on average per chaos to get the same benefit as scrolling with 10 all stat scrolls.
Remember, stat ratios are an approximation technique. Results can vary because of secondary stats, inner potential, character cards, throwing stars, etc. If you want exact answers, you'd need to make a spreadsheet factoring everything in.
To answer your questions, you pretty much have points 2, 3, and 4 correct.
Because WeaponMultiplier and 100 are constants, you can focus on Attack, MainStat and Substat.
(4 * MainStat + Substat) is clearly increased most by adding to MainStat and Substat is quite small compared 4 * Mainstat, so we ignore SubStat to determine our ratio. This simplifies our formula to: Attack * 4 * Mainstat * Constants
Once again, we pull out constants (4 in this case) so we are left with the simplified damage formiula: Constants * Attack * Mainstat. This is where stat ratios come from. %attack and %stat are treated as constant coefficients to their respective terms, so they can be pulled out as well.
In order to maximize range, we want to maximize both Attack and Mainstat. As said before the optimal ratio of attack to %stat is 1:1 (look up Mathematical Optimization if you don't understand why). However, we are limited by the scrolls and slots the game gives us. When you are unsure of which scrolls you should use on a piece of armor, you can use your stat ratio as a rough estimate.
For example, say you have 700 attack and 2100 stat before potentials. This means your ratio is 1:3. In other words, one attack is roughly the same damage increase as 3 stat. If you have the choice between a scroll that adds 10 stat and chaos, you'd need to add 3.33 attack on average per chaos to get the same benefit as scrolling with 10 all stat scrolls.
Remember, stat ratios are an approximation technique. Results can vary because of secondary stats, inner potential, character cards, throwing stars, etc. If you want exact answers, you'd need to make a spreadsheet factoring everything in.
To answer your questions, you pretty much have points 2, 3, and 4 correct.