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July 5, 2008

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QRF Explained

The Quality Results Formula (QRF) was created to try and rank teams from different parts of the state. I won't go into specific detail about the formula, but can give you an idea of how it works.

Each game is given an individual QRF (iQRF) based four things (listed in order of importance)
  • Win or Loss
  • Opponent wins
  • Class differential between the teams
  • Margin of victory (or defeat) with a cap on both ends.
Logically, the more wins an opponent has, the higher your opponents Class is, and the more you win by the higher your iQRF is for that game.

When all of a team's iQRF's are added together and divided by the number of MN games played, you come up with a team's QRF.
*Only MN vs. MN games count.

This number is then compared to other teams in the state to come up with an overall ranking.


Here are the results for the last five years of Quarter-final football games.
(2003) (2004) (2005)(2006)(2007)
 
Teams with a QRF advantage have gone 736-146 (.834) since 2003!
In the first round of the playoffs 2003, the team with the higher QRF was 145-30 (.829).
In the first round of the playoffs 2004, the team with the higher QRF was 149-26 (.851).
In the first round of the playoffs 2005, the team with the higher QRF was 145-34 (.810).
In the first round of the playoffs 2006, the team with the higher QRF was 149-28 (.842).
In the first round of the playoffs 2007, the team with the higher QRF was 148-28 (.841).
 
Teams with a 10 point QRF advantage have gone 535-48 (.918) since 2003!
Teams that had a QRF advantage of 10 or more went 100-7 in 2003 (.935).
Teams that had a QRF advantage of 10 or more went 99-8 in 2004 (.925).
Teams that had a QRF advantage of 10 or more went 114-12 in 2005 (.905)
.
Teams that had a QRF advantage of 10 or more went 107-12 in 2006 (829).
Teams that had a QRF advantage of 10 or more went 115-9 in 2007 (927).
 
Teams with a 20 point QRF advantage have gone 336-10 (.971) since 2003!
Teams that had a QRF advantage of 20 or more went 55-2 in 2003 (.965).
Teams that had a QRF advantage of 20 or more went 55-0 in 2004 (1.000).
Teams that had a QRF advantage of 20 or more went 78-3 in 2005 (963).
Teams that had a QRF advantage of 20 or more went 74-2 in 2006 (974).
Teams that had a QRF advantage of 20 or more went 74-3 in 2007 (961).
 

QRF Differential - 2003
0.1-5.0
(23-14)
5.1-10.0 (22-9)
10.1-20.0 (45-5)
20.1-30.0 (26-1)
30.1+ (29-1)

QRF Differential - 2004
0.1-5.0
(23-14)
5.1-10.0 (27-4)
10.1-20.0 (44-8)
20.1-30.0 (35-0)
30.1+ (20-0)

QRF Differential - 2005
0.1-5.0
(12-9)
5.1-10.0 (19-13)
10.1-20.0 (36-9)
20.1-30.0 (41-2)
30.1+ (37-1)
 
QRF Differential - 2006
0.1-5.0
(19-11)
5.1-10.0 (23-5)
10.1-20.0 (33-10)
20.1-30.0 (35-2)
30.1+ (39-0)
 
QRF Differential - 2007
0.1-5.0
(16-11)
5.1-10.0 (17-8)
10.1-20.0 (41-6)
20.1-30.0 (31-2)
30.1+ (43-1)



The main reason the QRF was invented was to let teams know how they stack up against other Minnesota teams not from their area. The best judge of this is the state tournament. Here are the results from the last two State BB Tournaments.
(2005) (2006) (Overall)

GIRLS QRF Record:
Class A (7-1) (6-2) (13-3)
Class AA (6-2) (3-4) (9-6)
Class AAA (6-2) (8-0) (14-2)
Class AAAA (7-1) (7-1) (14-2)

GIRLS OVERALL QRF (26-6 81.3%) (24-7 77.4%) (50-13 79.4%)


BOYS QRF Record:
Class A (5-3) (3-5) (8-8)
Class AA (6-2) (6-2) (12-4)
Class AAA (6-2) (6-2) (12-4)
Class AAAA (6-2) (7-1) (13-3)

BOYS OVERALL QRF (23-9 71.9%) (22-10 68.8%) (45-19 70.3%)

OVERALL QRF (49-15 76.6%) (46-17 73.0%) (95-32 74.8%)

Eleven out of 16 State Champions were the highest QRF team to make it to the state tournament.

2005 Girls A: Elgin-Millville 1st
2005 Girls AA: Rochester Lourdes 1st
2005 Girls AAA: Minneapolis North 1st
2005 Girls AAAA: Bloomington Kennedy 3rd
2005 Boys A: Russell-Tyler-Ruthton 1st
2005 Boys AA: Braham 1st
2005 Boys AAA: Shakopee 1st
2005 Boys AAAA: Hopkins 1st
 
2006 Girls A: Fulda 4th
2006 Girls AA: Cannon Falls 6th
2006 Girls AAA: Benilde-St. Margaret's 1st
2006 Girls AAAA: Hopkins 1st
2006 Boys A: Rushford-Peterson 7th
2006 Boys AA: Braham 1st
2006 Boys AAA: DeLaSalle 4th
2006 Boys AAAA: Hopkins 1st
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