User:ThirdEdition/Sandbox

This is my sandbox

What does this do?

${\textrm {edition}}^{3}$

--ThirdEdition 06:00, 15 September 2005 (UTC)

Finals systems

Simple finals systems

Final three

	Match	Team 1		Team 2
Week 1	A	Rank 2	v	Rank 3
Week 2	C	Rank 1	v	Winner A
Champion		Winner C

Knockout four

	Match	Team 1		Team 2
Week 1	A	Rank 2	v	Rank 3
	B	Rank 1	v	Rank 4
Week 2	C	Winner B	v	Winner A
Champion		Winner C

Simple final six

	Match	Team 1		Team 2
Week 1	A	Rank 4	v	Rank 5
	B	Rank 3	v	Rank 6
Week 2	C	Rank 2	v	Winner B
	D	Rank 1	v	Winner A
Week 3	E	Winner D	v	Winner C
Champion		Winner E

McIntyre finals systems

Page-McIntyre system

	Match	Team 1		Team 2
Week 1	A	Rank 3	v	Rank 4
	B	Rank 1	v	Rank 2
Week 2	C	Loser B	v	Winner A
Week 3	D	Winner B	v	Winner C
Champion		Winner D

Assuming that each team has a 50% chance of winning each match, the probability of each team will win the championship is represented in the table.

Team rank	Probability
1	37.5%
2	37.5%
3	12.5%
4	12.5%

McIntyre final five system

	Match	Team 1		Team 2
Week 1	A	Rank 4	v	Rank 5
	B	Rank 2	v	Rank 3
Week 2	C	Loser B	v	Winner A
	D	Rank 1	v	Winner B
Week 3	E	Loser D	v	Winner C
Week 4	F	Winner D	v	Winner E
Champion		Winner F

Team rank	Probability
1	37.5%
2	25.0%
3	25.5%
4	6.25%
5	6.25%

First McIntyre final six system

	Match	Team 1		Team 2
Week 1	A	Rank 5	v	Rank 6
	B	Rank 3	v	Rank 4
	C	Rank 1	v	Rank 2
Week 2	D	Loser C	v	Winner A
	E	Winner C	v	Winner B
Week 3	F	Loser E	v	Winner D
Week 4	G	Winner E	v	Winner F
Champion		Winner G

Second McIntyre final six system

	Match	Team 1		Team 2
Week 1	A	Rank 4	v	Rank 5
	B	Rank 3	v	Rank 6
	C	Rank 1	v	Rank 2
Week 2	D	Loser C	v	2nd highest ranked winner from A, B
	E	Winner C	v	1st highest ranked winner from A, B
Week 3	F	Loser E	v	Winner D
Week 4	G	Winner E	v	Winner F
Champion		Winner G

Team rank	Probability
1	25.00%
2	25.00%
3	18.75%
4	12.50%
5	12.50%
6	6.25%

McIntyre final eight system

	Match	Team 1		Team 2
Week 1	A	Rank 4	v	Rank 5
	B	Rank 3	v	Rank 6
	C	Rank 2	v	Rank 7
	D	Rank 1	v	Rank 8
Week 2	E	4th highest ranked winner from A, B, C, D	v	2nd highest ranked loser from A, B, C, D
	F	3rd highest ranked winner from A, B, C, D	v	1st highest ranked loser from A, B, C, D
Week 3	G	2nd highest ranked winner from A, B, C, D	v	Winner F
	H	1st highest ranked winner from A, B, C, D	v	Winner E
Week 4	I	Winner G	v	Winner H
Champion		Winner I

Team rank	Probability
1	18.750%
2	18.750%
3	15.625%
4	12.500%
5	12.500%
6	9.375%
7	6.250%
8	6.250%

Other finals systems

'AFL' final eight

This is the finals system the AFL used to replace the McIntyre final eight and without any official name is referred to as the AFL final eight system.

	Match	Team 1		Team 2
Week 1	A	Rank 1	v	Rank 4
	B	Rank 2	v	Rank 3
	C	Rank 5	v	Rank 8
	D	Rank 6	v	Rank 7
Week 2	E	Loser A	v	Winner C
	F	Loser B	v	Winner D
Week 3	G	Winner A	v	Winner F
	H	Winner B	v	Winner E
Week 4	I	Winner G	v	Winner H
Champion		Winner I

Team rank	Probability
1	18.75%
2	18.75%
3	18.75%
4	18.75%
5	6.25%
6	6.25%
7	6.25%
8	6.25%

The 'Super League' final six

This is the top six play-offs system used in Super League (Europe). It is basically the McIntyre final four system with an extra week at the beginning to reduce the bottom four teams to two.

	Match	Team 1		Team 2
Week 1	A	Rank 5	v	Rank 6
	B	Rank 3	v	Rank 4
Week 2	C	Winner B	v	Winner A
	D	Rank 1	v	Rank 2
Week 3	E	Loser D	v	Winner C
Week 4	F	Winner D	v	Winner E
Champion		Winner F

Team rank	Probability
1	37.50%
2	37.50%
3	6.25%
4	6.25%
5	6.25%
6	6.25%

External links

AFL finals system explained (1931-1999) The McIntyre systems used in the Australian Football League

Copied Stuff

Copied from Football World Cup 2002

Team	Pts	Pld	W	D	L	GF	GA	GD
Template:SWEf	5	3	1	2	0	4	3	1
Template:ENGf	5	3	1	2	0	2	1	1
Template:ARGf	4	3	1	1	1	2	2	0
Template:NGAf	1	3	0	1	2	1	3	-2

Playing

Cell 1, row 1	Cell 2, row 1 (and 2)	Cell 3, row 1
Cell 1, row 2		Cell 3, row 2

Cell 2, row 1 (and 2)	Cell 3, row 1
	Cell 3, row 2