Still to be checked !!!  This prototype is released 22.01.1999
Still to be checked !!!  This prototype is released 22.01.1999
Still to be checked !!!  This prototype is released 22.01.1999
(Including the changes from "Der Schelmenstre!ch" (DSS) No.9, 32.1.1998)
The tournament valuation T is given by
T = [F^{.}W+0.5],
where the tournament factor F depends on the type of
tournament,
The following numbers have an effect on the tournament factor:
The formula for calculating F is F = t^{.}a^{.}c, where t is the tradition factor, a is the announcement factor and c is the tournament mode factor.
lies between 1.0 and 1.5 for every tournament.
It is calculated according to
t = max {1, (0.02 ^{1/z}+ 0.98^{(10y+1)/z} + 1)/2}.
Herein z is the number of years since the tournament was first held, and y is the number of years since, in which it did not take place.
If a tournament is held in one of the DoToHo variants (Stahlkugelhockey or SchelmenDoToHo), instead of t the factor t' := (t+1)/2 is used for the further calculations.
The second and all further times a tournament is held during a calendar year are counted with a tradition factor of t = 1.
It is
for open tournaments. These are all tournaments, which are announced in the Schelmenstre!ch, where the number of participants is not limited and which are held on one weekend.  
for semiopen tournaments. These are all tournaments, which are announced in the Schelmenstre!ch and where the number of participants is resticted directly or indirectly by objective achievement oriented criteria.  
for invitation tournaments. These are all tournaments, which do not fulfill one of the above mentioned criteria. 
Limitations of the tournament valuation
The valuation for semiopen tournaments is cut back to 180 points and for invitation tournaments to 120 points.
There are the following tournament modes:
Pure league:  g = 1.000 
Pure KO system:  g = 0.800 
Albei type:  g = 0.930 
The tournament mode factors of the most common mixed forms are listed in the following table, depending on the part of participants, who are eliminated after the first round:
Part of players eliminated after the first round  final round  

in one group  KO system  
First round no KO system  First round KO system  First round no KO system  
[025)%  g = 0.870  g = 0.810  g = 0.840 
[2550)%  g = 0.900  g = 0.805  g = 0.870 
[50100)%  g = 0.930  g = 0.800  g = 0.900 
If the final round is played with play offs, i.e. at least two games against each opponent are played, the basic tournament factor g is increased by 0.020.
Explanations:
Albei type means that a first round is played in league mode (at least 50% of all possible combinations are played). Thereafter a sliding KO round is held, where the ones placed last after the first round have to qualify in KO rounds for the next round. The two players placed first after the first round are automatically qualified for the semifinals.
League means that every possible combination is played.
Group means that a proper subset of participants plays a league among themselves.
In case there were qualification tournaments required in order to participate in the tournament, the valuation according to 1.b.i) or 1.b.ii), respectively, is increased by
where Q is the number of participants in qualification tournaments, who did not participate in the tournament itself, and N the number of participants of the tournament in question.

Let N be the number of tournament participants. Further assume that N' of them are listed on the WRL. For n=1,2,...,N' the function f : {1,2,...,N} > {0,1,...} shall have the WRL placement of the n^{th} best participant as the value f(n). Further we define f(n)=0 if the participant is not yet listed, i.e. for n=N'+1,...,N. The sequence W(n) is defined by W(1)=g(f(N)) W(n+1)=0.9^{.}W(n)+g(f(Nn)) Finally put 
Let N be the number of tournament participants, L of which play in the
first league. Of the latter L' are listed on the WRL.
For
The sequence W(n) is defined by
W(1)=g(f(N))
and
W(n+1)=0.9^{.}W(n)+g(f(Nn))
for n=1,2,...,N1.
Finally put W:=W(N).
Remark:
f(n)=0 for
The participant's valuation B(t) of the participant t is determined by
The participant's valuation is calculated according to
B(t) := [T^{.}P(t)^{1.5}+ 10^{.}R(t) + S(t) + 0.5],
where
(NPl(t))G(t)+1  (G(t)2)(G(t)1)


P(t) =  2  ,  
G(t)N 
is his share of won games (rating)
R(t) =  a(t)  , 
b(t) 
where b(t) is the number of games and a(t) is the number of won games of t and
S(t) := Min {0.5^{.}s(t), 10}.
N is again the number of participants.
For tournaments with only 3 participants 10, 5 and 2 points for the 1., 2. and 3. place can be gained.
For tournaments with only 2 participants 5 and 2 points for the 1. and 2. place can be gained.
The management of the WRL is trusted to the reliable hands of Günter Prschekopowitz.
If a tournament is held on the d.m.y, it becomes valid on the 1.m+1.y (in case m<12) or on the 1.1.y+1 (in case m=12), supposed the results are submitted in time.
New WRLs are generated for the deadlines January 1, April 1, July 1 and October 1. For every player the best three results in tournaments with validfromdate in the last year are counted with their full value. Of the remaining tournaments with validfromdate in the last two years the best two are counted with half their value.
The first WRL was generated from the reported tournaments of the year 1995 and published January 1, 1996. For the calculation it was assumed that all players were placed 16th.
The valuations of all tournaments since 1996 were and are calculated on basis of the so determined WRL.
The above rules came into effect January 1, 1998 and include the changes from "Der Schelmenstre!ch" (DSS) No.9, 32.1.1998.
The following variables were changed:
lies between 1 and 2 for every tournament. Its value is determined as follows:
t = max {1, 0.02^{1/z}+ 0.98^{(10y+1)/z}}.
Herein z counts the number of years since the tournament was first held and y the number of those years since when it did not take place.
If a tournament is held in one of the DoToHo variants (Stahlkugelhockey or SchelmenDoToHo), instead of t the factor t' := (t+1)/2 is used for the further calculations.
The second and all further times a tournament is held during a calendar year are counted with a tradition factor of t = 1.
The announcement factor was
a = 1.0,  for invitation tournaments (without announcement); 
a = 1.1,  for tournaments which were limitedly announced (more than 50% of participants were invited participants); 
a = 1.2,  for open tournaments (more than 50% of participants could participate without invitation). 
A tournament is called announced, if its date was published in the DoToHoMagazine "Der Schelmenstre!ch" (DSS).
1. Remark:
The case, that exactly 50% of participants were not formally invited never
occurred.
2. Remark:
There was no
limitation of valuations before December 1997.
... is the above described. The current
tournament mode factor unfortunately remained top secret,
after it was agreed upon by
Günter and
Joachim.
© 1996  2000 Günter Prschekopowitz, Formulation (translation) and typesetting in HTML:
Cordelia Methfessel & Gerd Podszuweit, GerdPodszuweit@CompuServe.com