Buchholz rating (BH) and Feinbuchholz rating (FBH)

Erstellt von Helga Becker, Geändert am Mi, 24 Apr um 2:26 NACHMITTAGS von Helga Becker

In the BH rating and the FBH rating, points are assigned to the respective participant.
Here the ratings are not only taken from the leg difference, but also from the opposing games.
A winner receives points in the Buchholz ranking through the victories of his opponents.
(The sum of his opponents' points)
(Default setting in the 2K system: 2 points for a win, 1 point for a draw)
In the Feinbuchholz ranking, the winner of a game receives “plus points”.
(this is the sum of the BHF of his opponents)

If there are an odd number of participants in the tournament with the Swiss system, a participant randomly selected by the system will receive a bye in the first round. In each subsequent round, the person at the bottom of the table will receive this bye, unless he has previously received one.
Each participant will only receive a bye once during the tournament.
In the 2K system, a bye is always rated 1:0. This is how it is calculated the difference (leg difference) with one point.
In the Buchholz and Feinbuchholz rankings there are NO points for winning against bye!


PA 1Round 1 (randomly drawn)
PA 2
Result
PA 3




PA 4PA 11vs 3PA 5
PA 5PA 73vs 2PA 3
PA 6PA 20vs 3PA 6
PA 7PA 91vs 0bye
PA 8PA 83vs 0PA 11
PA 9PA 103vs 2PA 4
PA 10




PA 11







After the first round











Points
BHFBHLegsLeg-total








PA 1=0:2201:31:3
PA 2=0:2200:30:3This table assumes that the next
Rounds are always paired from bottom to top. So we're at the bottom of the table. This means that the bye for the next round is set first (player with the lowest number of points).
PA 3=0:2202:32:3
PA 4=0:2202:32:3
PA 5=2:0023:13:1
PA 6=2:0023:03:0
PA 7=2:0023:23:2
PA 8=2:0023:03:0
PA 9 (bye)=2:0001:01:0
PA 10=2:0023:23:2
PA 11=0:2200:30:3


Participant (PA) 1 loses 1:3 and receives a difference of -2 legs in the table
Participant (PA) 7 wins 3:2 and receives a difference of 1 leg in the table
Participant (PA) 2 loses 0:3 and receives a difference of -3 legs in the table

Participant (PA) 9 receives the bye and wins 1:0 and receives a difference of 1 leg

The Buchholz and Feinbuchholz ratings are then included
(But after the first round this can only be used to a limited extent)

This results in the following “table” for the next round:


rank
BHZ
FBHZLeg-total









1PA 60
23:0

1PA 80
23:0

3PA 50
23:1
In the next round of the game, participant 11 would receive a bye.
Participant 2 plays against Participant 1, Participant 4 plays against Participant 3,
Participant 9 plays against Participant 10, Participant 7 plays against Participant 5,
PA 8 plays against PA 6
4PA 70
23:2
4PA 100
23:2
6PA 90
01:0
7PA 31
02:3
7PA 41
02:3

9PA 11
01:3

10PA 21
00:3

10PA 111
00:3


Round 2
(created after scoring round 1)



After second Round












Result



PointsBHFBHLegs (R.1)Legs (R.2)Leg-total














PA 111vs 0bye
PA 1=2:22101:33:24:5
PA 22vs 3PA 1
PA 2=0:4460:32:32:6
PA 41vs 3PA 3
PA 3=2:24102:33:15:4
PA 92vs 3PA 10
PA 4=0:4662:31:33:6
PA 73vs 0PA 5
PA 5=2:2663:10:33:4
PA 83vs 1PA 6
PA 6=2:2483:01:34:3






PA 7=4:04103:23:06:2






PA 8=4:0483:03:16:1






PA 9=2:22101:02:33:3






PA 10=4:02103:23:26:4






PA 11=2:2440:31:01:3


rank
BHZ
FBHZLeg-total









1PA 74
106:2

2PA 84
86:1

3PA 102
106:4
The current table shows that the rating is not exclusive here is drawn from the leg difference.
There are also the Buchholz and Feinbuchholz points
used to obtain a fair table.
4PA 56
63:4
5PA 34
105:4
6PA 64
84:3
7PA 114
41:3
8PA 94
23:3
9PA 12
104:5

10PA 46
63:6

11PA 24
62:6

The software also takes into account who already had a bye and who has already played against whom

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