Posted by therewas47 on 1/25/2023 10:10:00 AM (view original):
Trail can you walk me through some of these calculations? I am a bit confused why you are weighting the exponented (unsure that's a word) values of player ratings on things like G DEF for example: (Ath^1.1)*7.5+(Spd^1.3)*4+(Def^1.2)*7)/4451?
What is the advantage of this over using a simple weight?
Love the tool so far.
it’s a good question and thank you for looking at the formulas.
i use exponents because i have found that performance in HD has a non-linear relationship to player ratings. i may be wrong in this assumption, something i hedged against by using very low exponents.
one example of this…if i told you that you could add 20 PER to either of these guards, which would you choose:
Player A: 80 ATH, 80 SPD, 20 PER, 80 BH
Player B: 60 ATH, 60 SPD, 80 PER, 60 BH
almost surely you’d add the 20 PER to player B, right? moving a player from 20 to 40 PER makes a nominal impact on scoring ability but moving a player from 80 to 100 PER makes an enormous difference on scoring ability. even with lower ath, spd, and BH, this player would be an effective 3-pt shooter even at D1. i’d argue that you’d have to increase Player A from 20 to perhaps as high as 70 to capture the same impact that is captured by increasing Player B from 80 to 100.
the reason for this is thresholds. there is a certain threshold point below which a player won’t be able to shoot 3-pointers with enough consistency to justify shooting them. getting above this threshold is the key and what i’m trying to capture here. unfortunately my mathematical skills are too limited to create a formula that captures this threshold effect perfectly, but what you see is my best attempt, molded over many years of fine-tuning against the performance i saw from various players i had and played against.
this threshold effect probably applies more to 3-pt shooting than to other skills, which i think you can see captured in these weights, but i think there’s an extent to which it applies to nearly all skills.
very open to feedback here though - i have no dogma about these weightings — it’s simply my best guess.
thank you for the positive feedback as well! glad you’re finding some utility in it :)