"jorma kala" <address@hidden> wrote
on 28/02/2008 18:54:56:
> Sorry, one more question about the error rate:
> is the EMG equity difference used in the computation of the error
> rate, is it based on a cubeless evaluation?
> thanks.
Hi Jorma, not sure to interpret correctly your questions, I
don't even know if you have 1 or 2 separate questions.
First of all, the errors used to compute the error
rate are cubeful, unless you have specified in the analysis settings
that you do want a cubeless analysis.
Concerning the overall error rate, for money sessions
it's easy: it's just the sum of the errors (no need to normalize)
divided by the number of unforced decisions.
For match-play, I suppose you have to proceed game
by game: in each game you add all the errrors in terms of MWC and then you
convert into EMG (this is equivalent to converting each MWC error into EMG
and then sum, since the MWC<->EMG mapping is linear). Then, you just sum the EMG errors of all the games
and divide by the total number of unforced decisions (this is equivalent to
computing the error rate in each game and then taking the weighted average
of the error rates of all the games, weighted with respect to the number of
unforced decisions).
Supposing EMG(x) is the function that converts from
MWC to EMG (at a gven score):
Emwc(1)_i = i-th error in game 1, in terms of MWC Eemg(1)_i = i-th error in game 1, in terms of EMG
= EMG(Emwc(1)_i)
Emwc(1) = Total error in terms of MWC in game 1 =
Sum(i,Emwc(1)_i) Eemg(1) = Total error in terms of EMG in game 1 =
Sum(i,Eemg(1)_i)
= Sum(i,EMG(Emwc(1)_i))
= EMG(Sum(i,Emwc(1)_i)) Nud(1) = number of unforced decisions in game
1 ER(1) = Error rate in game 1 = Eemg(1)/Nud(1)
ER = Error rate of the match =
Sum(j,ER(j)*Nud(j))/Sum(k,Nud(k))
= Sum(j,Eemg(j))/Sum(k,Nud(k))
Notice that: - the above holds for money sessions too, if MWC are
replaced by equities and if the function EMG(x) is replaced by the identity
function. - you cannot sum all the errors in terms of MWC across
games and then convert the total into EMG. The conversion into EMG is done
at a given score (it depends on the score). For money sessions, where the EMG function
is replaced by the identity, everything is simpler.
MaX.
P.S. I post this to the mailing list: it may interest other
users and I may have written something wrong :))