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Stat Equations


nitramsanoj's Avatar


nitramsanoj
07.30.2019 , 02:02 PM | #11
I don't have my set of data points here at the moment, but I'll post them tomorrow.

Checked your points for crit though and they fit when using 30*(1-roundoff((1-1/45);4)^(x/75) ).
Your alacrity points actually fit as well using the same just with b~=60.

dipstik's Avatar


dipstik
07.30.2019 , 02:41 PM | #12
Quote: Originally Posted by nitramsanoj View Post
I don't have my set of data points here at the moment, but I'll post them tomorrow.

Checked your points for crit though and they fit when using 30*(1-roundoff((1-1/45);4)^(x/75) ).
Your alacrity points actually fit as well using the same just with b~=60.
it seems like b~=c*a/100 doesnt it? if not, what is the residual?

nitramsanoj's Avatar


nitramsanoj
07.31.2019 , 06:33 AM | #13
I'm sure you meant b~=a*c=c*b*100

This is actually true as an rough approximation because:

( 1−0.01/𝑏 )^( 1/𝑐 ) = ( 1−1/𝑏 ̃ )
⇔ ( 1−1/𝑎 )^( 1/𝑐 ) = ( 1−1/𝑏 ̃ ) with (𝑏=𝑎/100) )
⇔ 𝑏 ̃ = 1/ ( 1−( 1−1/𝑎 )^( 1/𝑐 ) ) = 1/ ( 1−exp⁡( 1/𝑐 ln( 1−1/𝑎 )) )

⇒𝑏 ̃≈1/ ( 1−exp⁡( −1/𝑐𝑎 ) ) with ln⁡( 1+𝑥 ) = 𝑥+𝑂( 𝑥^2 )

⇒𝑏 ̃≈1/ ( 1−( 1−1/𝑎𝑐 ) )=𝑎𝑐 with exp⁡( 𝑥 ) = 1+𝑥+𝑂( 𝑥^2 )

(mathematically not completely correct, but it works ... )


for c you get: c=ln( 1-1/a )/ln( 1-1/b~ ) or better ln( 1-1/a )/ln( rounddown(1-1/b~;4) ), because we rounded the base down before too

c(a=30, b~=45)~=1.5032
c(a=30, b~=60)~=2.0130

this lines up with your values quiet well

nitramsanoj's Avatar


nitramsanoj
07.31.2019 , 12:58 PM | #14
Crit:

431 3,65
862 6,85
1.293 9,67
1.724 12,14
2.155 14,31
2.586 16,22
3.017 17,89
3.448 19,36
3.879 20,66
4.310 21,79
4.742 22,79
5.174 23,67
5.498 24,26
5.822 24,79
6.936 26,27
8.823 27,89
9.828 28,44

Alacrity:

1.294 7,56
863 5,28
432 2,77
324 2,1
216 1,42
431 2,76
862 5,27
1.293 7,55
1.724 9,62
2.155 11,5
2.586 13,2
3.017 14,75
3.448 16,16
3.879 17,43

dipstik's Avatar


dipstik
07.31.2019 , 03:10 PM | #15
Quote: Originally Posted by nitramsanoj View Post
I'm sure you meant b~=a*c=c*b*100

This is actually true as an rough approximation because:

( 1−0.01/𝑏 )^( 1/𝑐 ) = ( 1−1/𝑏 ̃ )
⇔ ( 1−1/𝑎 )^( 1/𝑐 ) = ( 1−1/𝑏 ̃ ) with (𝑏=𝑎/100) )
⇔ 𝑏 ̃ = 1/ ( 1−( 1−1/𝑎 )^( 1/𝑐 ) ) = 1/ ( 1−exp⁡( 1/𝑐 ln( 1−1/𝑎 )) )

⇒𝑏 ̃≈1/ ( 1−exp⁡( −1/𝑐𝑎 ) ) with ln⁡( 1+𝑥 ) = 𝑥+𝑂( 𝑥^2 )

⇒𝑏 ̃≈1/ ( 1−( 1−1/𝑎𝑐 ) )=𝑎𝑐 with exp⁡( 𝑥 ) = 1+𝑥+𝑂( 𝑥^2 )

(mathematically not completely correct, but it works ... )


for c you get: c=ln( 1-1/a )/ln( 1-1/b~ ) or better ln( 1-1/a )/ln( rounddown(1-1/b~;4) ), because we rounded the base down before too

c(a=30, b~=45)~=1.5032
c(a=30, b~=60)~=2.0130

this lines up with your values quiet well
you could also use the binomial approximation (likely derived from taylor): (1+x)^a ~ 1+x*a if |x*a|<<1 and |x|<1
(1-1/a)^(1/c)=(1-1/b~) gives 1+(-1/a)*(1/c)=1-1/(a*c)=(1-1/b~) so a*c=b~

now that they have talked about this scaling thing they are doing, there might be something like that going on... there is likely a bunch of level sync and bolster math.

using nitramsanoj data is get c= 2.01546308556461 (perfectly it seems as SSE=0) for alacrity i could not find a better solution than 1.5032 ( i got 1.50571149181725 but this has a SSE of 0.005 versus 0.0001)

Amunra-amunray's Avatar


Amunra-amunray
07.31.2019 , 03:55 PM | #16
Quote: Originally Posted by dipstik View Post
how so? because of level sync?
The specialization of character customization. And the change in how stat equations impact specific stats. i.e. accuracy currently is invaluable in regs, but needs some in Ranked etc. The bolster really messes with standardized stats and those who have PvPed since launch know this and just cheat the bolster system. Unless we just remove Bolster from Ranked and allow them to test in unranked zones as they have normally. But, I do not foresee this happening. PvE gear never balances with PvP bolster and most of the time requires a few pieces to be altered during play of PvP vs PvE and then there is of course the Naked Bolster... where toons go in with just their relics... just some concepts to consider when altering stat numbers...
"Do the Best and Spare the Rest!" Joe Pirandello
My Referral Link: http://www.swtor.com/r/qYLGd9

Amunra-amunray's Avatar


Amunra-amunray
07.31.2019 , 03:59 PM | #17
Quote: Originally Posted by ottffsse View Post
I am not 100% sure but I just use the old number for say alacrity 1860 for 1.3 cooldown point and divide that number by the coefficient provided in the how it scales ie. 0.38 in this case for alacrity - the second number, the fraction in each category, I get 4895. Is this correct? so the new 1860 if nothing is changed is 4895?

Can do this for crit, accuracy etc.

Note I may be totally misunderstanding this formula too so please clarify how we are translate old figures to the appropriate new figures in the pts so far?
Alacrity is always broken in PvP bolster. Granted is a great resource for Raiders and the PvEers, but its seems to always be a tragedy when it meets same class buffs and PvP bolster. Not sure the math there, but Guilds are now forming class specific guilds to specialize in these same class buff mechanics that are invading the Regs space. Do not see it as much in Ranked PvP.
"Do the Best and Spare the Rest!" Joe Pirandello
My Referral Link: http://www.swtor.com/r/qYLGd9

DarthBryn's Avatar


DarthBryn
08.01.2019 , 03:09 AM | #18
Looks like they have changed again for 1.5 PTS release, 1725 Acc now gives 110.63% & 1617 gives 110.13% as an example.

dipstik's Avatar


dipstik
08.01.2019 , 10:59 AM | #19
are you sure this is without any set bonus stuff? i was on last night and i checked accuracy stuff:

970 5.87
1401 8.09
1589 9
1832 10.11
1494 8.54
1399 8.08
968 5.86
873 5.34
778 4.8
683 4.26

i think they did change the stats on the relics though... i wrote stuff down and it was different... but i may have wrote the wrong thing down

KTap's Avatar


KTap
08.01.2019 , 01:14 PM | #20
Quote: Originally Posted by dipstik View Post
are you sure this is without any set bonus stuff? i was on last night and i checked accuracy stuff:

970 5.87
1401 8.09
1589 9
1832 10.11
1494 8.54
1399 8.08
968 5.86
873 5.34
778 4.8
683 4.26

i think they did change the stats on the relics though... i wrote stuff down and it was different... but i may have wrote the wrong thing down
Maybe they got or are assuming the companion 1% accuracy buff? 1725 acc gives 9.63%, which would bring it to 10.63% with the companion buff.
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