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| Lorenzo |
 Posted: Mar 2 2003, 10:56 PM |
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This topic is resumed: see below.
What does "quotient system" mean in case of a three-way tie ?
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| Louis_C |
| Posted: Mar 15 2003, 08:53 PM |
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A quotient
system is a type of tiebreaker
that is typically used when several teams have identical won/loss records in round robin
pool play during the opening round of a tournament.
If you remember math terms
from high school, one divides the dividend by the divisor yielding the quotient. Any tie
breaking system that involves comparing results of a division operation could be
considered a quotient system.
A typical quotient
system in Basketball would be to add up the total points scored by each team and
divide it by the total points allowed by each team. The team with the highest quotient
(result of the division of points scored by points allowed) moves on to bracket play.
 Louis Cohen - eBA Stats Team - The Basketball Statistics Analysis
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| carmel_ball |
| Posted: Sep 28 2003, 04:50 AM |
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Excelente la
explicacion..... pero hace falta un ejemplo practico, gracias !
Give an example please!
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| Guest_charles |
| Posted: Jul 23 2005, 01:14 PM |
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Unregistered
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Here is what I remember about quotient from the high school, I think...:
When performing division, the number of times one value can be divided into the other
value is the quotient. For example, when dividing 7 by 3, 3 goes in to 7 twice, making 6,
and the remainder is 1, so the quotient is 2.
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| sebast |
| Posted: Nov 30 2005, 02:18 PM |
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Next 2 posts RESUMES the topic
Some elements from the FIBA Rules Book, to proceed afterwards
with the examples in the next message:
As we know if there are two teams in the classification with equal points, the
results of the games between the two teams involved will be used to determine the
placing. If the points and the goal average in the games between the two
teams are still
the same, the classification will be determined by the goal average of all the games
played in the group by each team.
If more than two teams are equal in the placing, a second classification will be
established, taking into account only the results of the games between the teams that are
tied.
If there are still teams tied after the second classification, then goal average will be
used to determine the placing, taking into account only the results of the games between
the teams still tied.
If there are still teams tied, the placing will be determined using de goal average from
the results of all their games played in the group. Goal Average will always be calculated
by division (the Quotient System).
We'll see the examples in the next message.
 Mario Sebastiani - ebastats
- the Basketball statistics forum
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| sebast |
| Posted: Nov 30 2005, 02:18 PM |
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Example with three teams - equal points:
Team........Games
Played........... Wins.........Losses.......Points
.....A ...............
5 ................... 4 .............
1 ............ 9
.....B ...............
5 ................... 4 .............
1 ............ 9
.....C ...............
5 ................... 4 .............
1 ............ 9
.....D ...............
5 ................... 3 .............
2 ............ 7
.....E ...............
5 ................... 1 .............
4 ............ 6
.....F ...............
5 ................... 0 .............
5 ............ 5
Results between A, B, C:
.......................A - B...........82
- 75
.......................A - C...........77
- 80
.......................B - C...........88
- 77
Team........Games.........Wins..........Losses.......Points......Difference...Goal Average
...A ............ 2 .............. 1 ..............
1 ........... 3 ..........159:155
........1.0258
...B ............ 2 .............. 1 ..............
1 ........... 3 ..........163:159
........1.0251
...C ............ 2 .............. 1 ..............
1 ........... 3 ..........157:165
........0.9515
Therefore: 1st. A, 2nd. B and 3rd. C
If the goal average is the same for the three teams, the final placing will be determined
from the results of all their games played in the group.
Four teams - equal points example:
Team.........Games
Played.......... Wins.........Losses........Points
....A ................
5 .................... 3 ............
2 ............ 8
....B ................
5 .................... 3 ............
2 ............ 8
....C ................
5 .................... 3 ............
3 ............ 8
....D ................
5 .................... 3 ............
2 ............ 8
....E ................
5 .................... 2 ............
3 ............ 7
....F ................
5 .................... 1 ............
4 ............ 6
The second classification will be established, taking in
account only the results of the games between the teams that are tied, so there are two
possibilities:
Team.......I ......Wins.......Losses..............II......Wins......Losses
....A .................
3 ........... 0 ..........................
2 ......... 1
....B .................
1 ........... 2 ..........................
2 ......... 1
....C .................
1 ........... 2 ..........................
1 ......... 2
....D .................
1 ........... 2 ..........................
1 ......... 2
In case I: 1st. A, meanwhile B, C, & D
placing will be
determined as in the example above.
In case II: The classification of A & B, and C & D will be determined as in cases
of equal points between two teams ( see other topics in this forum ).
This summary
resumes this topic and will be completed at "The Game" chapter of the eBA Basketball
Statistics Analysis System. Another Basketball game topics you'll find at the Basketball Game
Discussions section of our eBA Stats.com
site.
Mario Sebastiani - ebastats
- the Basketball statistics forum
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