FanPost

Transitive Rankings Post Week 12- You Are What Your Record Says You Are (Unless You're Indiana)

As every college football message board debater knows, winning football games is transitive. In other words, if Team A beats Team B and Team B beats Team C, the fans of Team A are perfectly within their rights to talk trash to fans of Team C. Obviously, Team A could have completely wiped the floor with Team C, they just didn't happen to play each other. If Team D happens to lose to Team C, they are also deserving of as much scorn as possible. Thus one way of ranking teams just counts how many teams' fans are permissible trash talk targets (minus those in the reverse situation).

No one changed spots from last week.  At some point, you are what your record says you are and these rankings reflect that.  The only out of order team is Minnesota, who remains ahead of Indiana on the strength of their win over Illinois.  Indiana's best win remains over #92 Arkansas State .

 

1 Wisconsin 108-10-1 (#9 nationally)

Transitive Confusing Games: Losing to Michigan State

Longest Chain for a Transitive Win: Wisconsin beat Michigan who beat Connecticut who beat Vanderbilt who beat Mississippi who beat Kentucky who beat South Carolina who beat Alabama who beat Mississippi State.

Next Week: Northwestern.  Wisconsin beat Purdue who beat Northwestern.  

 

2 Ohio State 107-10-2 (#10) 

Transitively Confusing Games: None

Longest Chain for a Transitive Win: Ohio State beat Illinois who beat Northwestern who beat Vanderbilt who beat Mississippi who beat Kentucky who beat South Carolina who beat Alabama who beat Arkansas

Next Week: Michigan.  Ohio State beat Penn State who beat Michigan.  

 

3 Nebraska 100-16-3 (#16)

Transitively Confusing Games: Beating Missouri, beating Oklahoma State, losing to Texas.  

Longest Chain for a Transitive Win: Nebraska beat Kansas who beat Georgia Tech who beat Virginia who beat Richmond who beat James Madison who beat Virginia Tech.

Next Week: Colorado.  Nebraska beat Kansas who beat Colorado, but Colorado beat Kansas State who beat Texas who beat Nebraska.  

 

4 Michigan State 97-18-4 (#18)

Transitively Confusing Games: Beating Wisconsin, losing to Iowa

Longest Chain for a Transitive Win: MSU beat Northwestern who beat Illinois State who beat North Dakota State who beat Kansas who beat Colorado who beat Georgia.  

Next Week: Penn State.  MSU beat Illinois who beat Penn State.  

 

Iowa 90-24-5 (#23)

Transitively Confusing Games: Beating MSU, losing to Northwestern

Longest Chain for a Transitive Win: Iowa beat Penn State who beat Northwestern who beat Rice who beat East Carolina who beat North Carolina State.  

Next Week: Minnesota.  Iowa beat Penn State who beat Minnesota.  

 

Michigan 84-32-3 (#30)

Transitively Confusing Games: Losing to Penn State

Longest Chain for a Transitive Win: Michigan beat Purdue who beat Western Illinois who beat North Dakota State who beat Kansas who beat Colorado who beat Hawaii.

Next Week: Ohio State.  Michigan beat Illinois who beat Northwestern who beat Iowa who beat Michigan State who beat Wisconsin who beat Ohio State.  

 

7 Penn State 78-39-2 (#36)

Transitively Confusing Games: Beating Michigan, losing to Illinois

Longest Chain for a Transitive Loss:  Nevada beat Eastern Washington who beat Southern Utah who beat South Dakota who beat Minnesota who beat Illinois who beat Penn State.

Next Week: Michigan State.  Penn State beat Northwestern who beat Iowa who beat Michigan State.  

 

8 Northwestern 74-40-5 (#41)

Transitively Confusing Games: Beating Iowa, losing to Illinois, losing to Purdue

Longest Chain for a Transitive Win:  Northwestern beat Rice who beat East Carolina who beat North Carolina State who beat Florida State who beat Miami (FL). 

Next Week: Wisconsin.  Northwestern beat Iowa who beat Michigan State who beat Wisconsin.  

 

9 Illinois 63-49-7 (#53)

Transitively Confusing Games: Beating Northwestern, beating Penn State, losing to Minnesota

Longest Chain for a Transitive Loss: Florida beat Kentucky who beat South Carolina who beat Alabama who beat Penn State who beat Michigan who beat Illinois.

Next Week: Fresno State.  Illinois beat Northwestern who beat Vanderbilt who beat Mississippi who beat Fresno State, but Fresno State beat Cal Poly who beat South Dakota who beat Minnesota who beat Illinois.  

 

10 Purdue 43-68-8 (#71)

Transitively Confusing Games: Beating Northwestern

Longest Chain for a Transitive Loss: Purdue lost to Toledo who lost to Wyoming who lost to New Mexico who lost to UTEP who lost to UAB who lost to Tennessee.  

Next Week: Indiana.  Purdue beat Northwestern who beat Indiana.  

 

11 Minnesota 35-81-3 (#87)

Transitively Confusing Games: Beating Illinois, losing to South Dakota State

Longest Chain for a Transitive Loss: Virginia beat Miami (FL) who beat Clemson who beat North Carolina State who beat UCF who beat South Dakota who beat Minnesota.  

Next Week: Iowa.  Minnesota beat Illinois who beat Northwestern who beat Iowa.  

 

12 Indiana 32-83-4 (#90)

Transitively Confusing Games: None

Longest Chain for a Transitive Loss: Louisville beat Eastern Kentucky who beat Jacksonville State who beat Georgia State who beat Lamar who beat South Dakota who beat Minnesota who beat Illinois who beat Indiana.  

Next Week: Purdue.  Indiana beat Arkansas State who beat FAU who beat UAB who beat UTEP who beat SMU who beat Tulsa who beat Notre Dame who beat Purdue.  

 

Most Awesome Transitive Chain: Minnesota beat Illinois who beat Northwestern who beat Iowa who beat Michigan State who beat Wisconsin.  

 

These rankings have the same order (and remarkably similar overall rank once FCS schools are disregarded) as Sagarin's margin-ignoring, except his rankings move Illinois and Minnesota one spot further from each other.  

 

 

The other set of rankings looks at the closest connection and takes the net score along that path to determine the winner.  Home field advantage is considered as 3 points and victories have a max margin of 28 points.  

National Rank Team Ranking Record
12 Ohio State 100-19
13 Nebraska 97-22
18 Iowa 91-28
21 Wisconsin 89-30
29 Illinois 83-36
30 Michigan State 81-38
36 Michigan 79-40
43 Penn State 72-47
62 Northwestern 59-60
80 Purdue 44-75
91 Minnesota 35-84
93 Indiana 33-86

 

These are the same order as Sagarin's margin-only rankings, except he has Michigan State 2 spots ahead of Illinois instead of one spot behind.  

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