Final Network Rankings of the 2013 Regular Season

by Patrick Rhamey

The BCS is likely to echo the final network rankings, at least as far as 1 and 2 are concerned.  Interestingly, as an example of why how you think and rank matters so greatly, there would likely be stark differences between how the network rankings v. the BCS v. a selection committee would think about Bowl selection beyond the national championship and/or playoff seeding.  For example, the network rankings claim that of the top 4 teams, 3 of them are in the SEC.  Intuitively quite reasonable to many people, but I strongly doubt a selection committee is going to let 3 teams from the same conference go to a playoff, even if they've earned it.  As a comparison to what will be released later today, below today's rankings I've included a BCS Bowl slotting using the current BCS rules, selection order, and program revenue.

Also interesting about this week is the network rankings' responsiveness to new evidence.  We see NIU drop from 3 last week to 27 this week with the loss to a very bad Bowling Green team.  Likewise, Ohio State falls from 2 to 9 losing to a Michigan State team that the network rankings have never held higher than the top 20.

Final Regular Season Top 25 (Explanation; Full Rankings)

  1. Florida State (nc)
  2. Auburn (+3)
  3. Alabama (+1)
  4. Missouri (+2)
  5. South Carolina (+2)
  6. UCF (+4)
  7. Clemson (+1)
  8. Georgia (+1)
  9. Ohio State (-7)
  10. LSU (+1)
  11. Texas A&M (+1)
  12. Oregon (+1)
  13. Stanford (+1)
  14. Oklahoma (+4)
  15. Baylor (nc)
  16. Louisville (+1)
  17. UCLA (-1)
  18. Ole Miss (+1)
  19. Miami (+1)
  20. Michigan State (+8)
  21. Arizona State (nc)
  22. Vanderbilt (+1)
  23. Oklahoma State (-1)
  24. Duke (nc)
  25. Wisconsin (+1)

Network Ranking Bowl Selection:
BCS National Championship: Florida State v. Auburn
Rose Bowl: Michigan State v. Stanford
Orange Bowl: Clemson v. Ohio State
Sugar Bowl: Alabama v. Oregon
Fiesta Bowl: Baylor v. UCF

Network Ranking Playoff Seeding:
Game 1: Florida State v. Missouri
Game 2: Auburn v. Alabama
 

Network Rankings for Week 15

by Patrick Rhamey

Eventually I'll get around to addressing the NIU issue.  Simply put, NIU 2013>NIU 2012 and MAC 2013>MAC 2012, and there's plenty of evidence to prove it.  A lot of it is about not losing to Iowa, and Iowa being less terrible than last year.

Top 25 (Explanation; Full Ranking)

  1. Florida State (+1)
  2. Ohio State (+2)
  3. Northern Illinois (+2)
  4. Alabama (-3)
  5. Auburn (+1)
  6. Missouri (+2)
  7. South Carolina (+4)
  8. Clemson (-5)
  9. Georgia (+3)
  10. UCF (+3)
  11. LSU (-1)
  12. Texas A&M (-3)
  13. Oregon (+2)
  14. Stanford (+6)
  15. Baylor (+2)
  16. UCLA (+5)
  17. Louisville (+2)
  18. Oklahoma (-2)
  19. Ole Miss (-5)
  20. Miami (+2)
  21. Arizona State (+5)
  22. Oklahoma State (+9)
  23. Vanderbilt (+5)
  24. Duke (-1)
  25. Iowa (+7)

Network Rankings for Week 14

by Patrick Rhamey

Few big changes, though Baylor falls from the top 10.  Northern Illinois arrives in the top 5.  I hope to have a post soon comparing NIU this year to NIU last year (very different set of issues).

Top 25 (Explanation; Full Rankings)

  1. Alabama (nc)
  2. Florida State (nc)
  3. Clemson (nc)
  4. Ohio State (nc)
  5. Northern Illinois (+1)
  6. Auburn (+1)
  7. Fresno State (+1)
  8. Missouri (+3)
  9. Texas A&M (nc)
  10. LSU (+4)
  11. South Carolina (+1)
  12. Georgia (+3)
  13. UCF (+3)
  14. Ole Miss (-4)
  15. Oregon (-2)
  16. Oklahoma (+3)
  17. Baylor (-12)
  18. Wisconsin (+2)
  19. Louisville (+2)
  20. Stanford (-2)
  21. UCLA (-4)
  22. Miami (+2)
  23. Duke (nc)
  24. Notre Dame (+9)
  25. Michigan State (+3)

Network Rankings Week 13

by Patrick Rhamey

Added Change from previous week in parentheses below (note, Auburn's win over Georgia is cancelled out partially from the Auburn -> UGA -> LSU -> Auburn win pathway).  No change in the top 5.

Top 25 (Explanation; Full Ranking)

  1. Alabama (nc)
  2. Florida State (nc)
  3. Clemson (nc)
  4. Ohio State (nc)
  5. Baylor (nc)
  6. Northern Illinois (+1)
  7. Auburn (-1)
  8. Fresno State (nc)
  9. Texas A&M (nc)
  10. Ole Miss (+2)
  11. Missouri (-1)
  12. South Carolina (+4)
  13. Oregon (-2)
  14. LSU (+4)
  15. Georgia (-2)
  16. UCF (+3)
  17. UCLA (nc)
  18. Stanford (-2)
  19. Oklahoma (+2)
  20. Wisconsin (+2)
  21. Louisville (+3)
  22. Michigan (+9)
  23. Duke (+2)
  24. Miami (-4)
  25. USC (+10)

Network Rankings Week 12

by Patrick Rhamey

No surprises here on 1 and 2, but some big changes in the rest of the top 25.  NIU and Fresno State make big jumps into the top 10.  Buffalo, only having lost to two undefeated teams (Baylor and Ohio State), jumps into the top 25 as it continues to win.  Nebraska makes a huge gain after defeating Michigan, and Duke climbs into the top 25.

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Top 25 (Explanation; Full Ranking)

  1. Alabama
  2. Florida State
  3. Clemson
  4. Ohio State
  5. Baylor
  6. Auburn
  7. Northern Illinois
  8. Fresno State
  9. Texas A&M
  10. Missouri
  11. Oregon
  12. Ole Miss
  13. Georgia
  14. Buffalo
  15. South Carolina
  16. Stanford
  17. UCLA
  18. LSU
  19. UCF
  20. Miami
  21. Oklahoma
  22. Nebraska
  23. Louisville
  24. Duke
  25. Arizona State

 

Network Rankings for Week 11

by Patrick Rhamey
  • Florida State jumps over Oregon for #2 after a good win against Miami while Oregon is on a bye.
  • Post Tuesday on CFBTN comparing the Oregon and Florida State Networks
  • Rankings for Week 12 will be delayed one day to Monday, November 12.

Top 25 (Explanation; Complete Rankings)

  1. Alabama
  2. Florida State
  3. Oregon
  4. Clemson
  5. Miami
  6. Auburn
  7. Ohio State
  8. Missouri
  9. South Carolina
  10. Georgia
  11. Texas A&M
  12. Baylor
  13. LSU
  14. Northern Illinois
  15. Ole Miss
  16. UCF
  17. Fresno State
  18. Tennessee
  19. Florida
  20. Louisville
  21. Vanderbilt
  22. Oklahoma
  23. Stanford
  24. UCLA
  25. Notre Dame

 

Network Rankings for Week 10

by Patrick Rhamey

Florida State climbs into the three spot as Missouri falls to South Carolina.  

Top 25 (Explanation; Full Rankings)

  1. Alabama
  2. Oregon
  3. Florida State
  4. Clemson
  5. Miami
  6. Auburn
  7. Ohio State
  8. Missouri
  9. Texas A&M
  10. Georgia
  11. South Carolina
  12. LSU
  13. Baylor
  14. Ole Miss
  15. Northern Illinois
  16. UCF
  17. Fresno State
  18. Tennessee
  19. Florida
  20. Louisville
  21. Vanderbilt
  22. Oklahoma
  23. Stanford
  24. Oregon State* 
  25. Michigan

*FCS loss not included in network


 

Network Rankings for Week 9 - The LSU/UGA Collapse

by Patrick Rhamey

As I discussed last week, necessary for "outsider" teams like Bama and Oregon to move up would be a collapse of the strong win network built upon Georgia and LSU.  Sure enough, with Vanderbilt and Ole Miss wins, the whole thing comes crashing down, doing damage to Missouri, Clemson, and now also Florida State.  The title of most impressive wins goes now to Alabama.  Ole Miss, Fresno State, Texas Tech, Tennessee, and Vanderbilt enter the top 25.

Week 9 Rankings (Explanation; Full Rankings)

  1. Alabama
  2. Oregon
  3. Missouri
  4. Florida State
  5. Clemson
  6. Miami
  7. Oregon State* 
  8. Auburn
  9. Georgia
  10. LSU
  11. Baylor
  12. Ohio State
  13. Ole Miss
  14. Virginia Tech
  15. Texas A&M
  16. South Carolina
  17. Fresno State
  18. UCF
  19. Northern Illinois
  20. Pittsburgh
  21. Texas Tech
  22. Tennessee
  23. Florida
  24. Vanderbilt
  25. Louisville

 * Loss to FCS team not included in the network

Network Rankings Week 8 - Sorting Out the SEC and ACC Win Networks​

by Patrick Rhamey

With Georgia's second loss to another undefeated team, significantly more complexity is introduced into the Top 10, shedding light on how the Network Ranking evaluates evidence in sorting out Missouri, Clemson, Georgia, and Alabama.

1) It starts with a comparison of Georgia and Alabama's win networks.  So far this season the value of beating South Carolina, North Texas, LSU, and Tennessee > Virginia Tech, Texas A&M, Colorado State, Ole Miss, Georgia State, and Kentucky.  In fact, Georgia's four wins are more impressive than the cumulative wins of any other team in the FBS, including Missouri and Clemson who beat Georgia (Missouri and Clemson subsume Georgia's win network, but they are two degrees away from LSU, South Carolina, etc. so they are getting credit for the quality of those two degree away teams at a discount, see the explanation link below for more details).  Now with more evidence each week, the value of Georgia and Alabama's win networks will change, but for now, even subtracting 2 points for Georgia losing to 2 undefeated teams, Georgia has more evidence of goodness based on wins and losses than Alabama.

2) Clemson and Missouri's win networks are driven mostly by beating Georgia.   In the network, the combined value of Missouri's wins over Toledo, Arkansas State, Indiana, and Vanderbilt is, I think as common sense would dictate, worth less than the value of beating Georgia alone.  For Clemson, the same is true of the value of beating NC State, Wake Forest, Syracuse, and Boston College.  Evidence of both teams' quality is currently very dependent upon how Georgia performs, though both teams have very big tests coming up in Week 8 (Florida for Missouri and Florida State for Clemson).

3) Georgia, likewise, is strongly dependent on LSU and South Carolina.          Potentially the foundation of all four teams position at the top of the ranking is LSU, and to a lesser extent South Carolina.  Alabama won't play LSU until November.  Georgia's win value is almost a majority due to LSU and Georgia's win value is a majority of the win values for Missouri and Clemson.  LSU has beaten both Auburn and Florida, both of which the Network Ranking lists as top 25 teams.

4) The PAC-12 needs this ACC/SEC pyramid to fall apart.   For an Oregon or a UCLA to break through, the foundational elements of this win network (LSU and to a lesser extent South Carolina) would need to lose, which will weaken the win values for the teams in the top 5 (we saw this happen to Alabama last year the post-season following poor SEC performances in bowl games).  If, however, LSU and South Carolina keep winning, and these top ranked SEC/ACC teams keep winning as well, there will be no way for an undefeated PAC-12 team to dominate the ranking.

So we see through these connections how the web of wins and losses is sorting out these three teams, and how information regarding the quality of those wins and losses is updated each week.  LSU/South Carolina->Georgia->Missouri/Clemson is creating a very impressive win network that provides far more evidence of a team's quality than what any other teams have accomplished this year.  Alabama is so far performing strongly, but they're left out of this strong win network by not yet having played any of these teams.   Unlike Oregon who will be left out in the cold all season by not playing strong teams, Alabama plays LSU November 9th and Auburn in the Iron Bowl November 30th, so they'll have ample opportunity to provide evidence of their goodness as the season progresses if LSU and Auburn keep winning.  

Another side observation, both the Big 12 and the Big 10 look terrible.  Baylor (#20) is the Big 12's highest ranked team, with no others in the top 25 following Oklahoma's (#27) loss to Texas (#37) yesterday.  Other preseason favorites have drifted into obscurity: Oklahoma State (#38), Kansas State (#86), and TCU (#87).  In the Big 10, Wisconsin (#50), who has otherwise not been great, beat Northwestern (#44), leaving Ohio State (#19) the only remaining team in the Top 25.  Ohio State is undefeated, but they just haven't played anyone of great value.

Week 8 Ranking (Explanation; Full Ranking)

  1. Missouri
  2. Clemson
  3. Georgia
  4. Alabama
  5. LSU
  6. Oregon State*
  7. Oregon
  8. UCLA
  9. Florida State
  10. Utah** 
  11. Miami
  12. Auburn
  13. Virginia Tech
  14. South Carolina
  15. Louisville
  16. Texas A&M
  17. Stanford
  18. Maryland
  19. Ohio State
  20. Baylor
  21. UCF
  22. Pittsburgh
  23. Houston
  24. Florida
  25. Northern Illinois

*FCS losses not included in the network. 
**Lost to Oregon State who has an FCS loss not included in the network.

 

Network Rankings for Week 7

by Patrick Rhamey

No dramatic changes this week.  Oregon slips a little due to the weakness of their opponents thus far in the season combined with Oklahoma, Florida State, and Miami defeating half-decent teams and their former opponents playing well (at least, better than Oregon's typical opponent so far).  Auburn, LSU, and Ohio State pop back into the top ten with a solid victories this weekend.

Top 25 (Explanation; Full Ranking)

1.  Georgia
2. Clemson
3. Alabama
4. Oklahoma
5. Florida State
6. Miami
7. Oregon
8. LSU
9.  Ohio State
10. Auburn
11. UCLA
12. Missouri
13. Stanford
14. Florida
15. South Carolina
16. Michigan
17. Oregon State*
18. Virginia Tech
19. Baylor
20. Louisville
21. Pittsburgh
22. Maryland
23. Ohio
24. UCF
25. Oklahoma State

Network Rankings for Week 6

by Patrick Rhamey

Network Rankings for week 6.  Georgia subsumes LSU's win network, launching it to number 1 (only .07 ahead of Clemson).

Top 25 (Explanation; Full Rankings)

1. Georgia
2. Clemson
3. Alabama
4. Oregon
5. Oklahoma
6. Florida State
7. Oregon State*
8. Stanford
9. Miami
10. South Carolina
11. LSU
12. Washington
13. Northern Illinois
14. Florida
15. Pittsburgh
16. Maryland
17. Missouri
18. Louisville
19. Virginia Tech
20. Michigan
21. Houston
     Ohio State
23. Utah**
24. Fresno State
      UCLA

*FCS losses not included in network.
**Utah's one loss is to Oregon State, which lost to an FCS team.

 

Network Rankings for Week 5

by Patrick Rhamey

Network Rankings for Week 5 - ties beginning to resolve themselves as #1 LSU heads to #7 Georgia.

Top 25 (Explanation; Full Rankings

1. LSU
2. Clemson
3. Alabama
4. Michigan
5. Oregon State*
6. Louisville
7. Georgia
8. Auburn
9. UCLA
10. UCF
11. Florida State
12. Oregon
13. Oklahoma
14. Miami
15. Maryland
16. Fresno State
17. Georgia Tech
18. Oklahoma State
     Stanford
20. Ole Miss
21. Missouri
22. Arizona
     Northwestern
24. Washington
25. Minnesota
      Texas Tech

 * note: FCS teams not included in network, so FCS loss is not included.

First Network Rankings of the 2013 Season

by Patrick Rhamey

All FBS teams are now connected in the web of wins and losses after only three weeks (in previous iterations I've done, it took at earliest week 5 for this to happen, so we are interconnected very early this year).  The web is shown below.  As a reminder, this is not a ranking of who is "best" (which I argue is unmeasurable) but the quality of wins minus the harm of observed losses (further explanation here).  With only three games under their belt and no losses, Auburn holds the number 1 spot in these early season rankings, held aloft in large part by Washington State's defeat of USC. 

(Note: Losses to FCS teams are not contained within the network, so South Alabama, Oregon State, and many others are not receiving the negative impacts of these losses.  Teams that lose to FCS teams tend to lose to FBS teams as well, so this should sort itself out soon enough).

Top 25 (Full Rankings):

1. Auburn
2. Oklahoma
3. Louisville
4. Alabama
5. Oregon
6. Michigan
    Central Florida
8. Arizona
9. UCLA
    South Alabama
    Washington
12. Florida State
     Oklahoma State
14. LSU
     Maryland
     Miami
     Northwestern
     Ohio State
19. Ohio
     Oregon State
21. Clemson
22. Minnesota
      Ole Miss
      Northern Illinois
 

2013 State of World Liberty Index

by Patrick Rhamey

The State of World Liberty Index was a combination of indices compiled originally in 2006.  Since then, I've periodically updated the index.  My methodology is similar to the original with the following exceptions: I use only the civil liberties portion of the Freedom House, economic liberty (Fraser/Heritage) is weighted evenly with social liberty, and the Reporters without Borders Press Freedom Scores are of equal weight to each of the Freedom House Civil Liberties sub-components.  All changes are done with the purpose of creating the most accurate relative ranking of countries by the degree of liberty (economic and social) enjoyed by the average individual within the polity.  Where data is available, territories or colonies (e.g. Hong Kong) are included.   

2013 Rankings with Economic and Social Scores

2013 Freedom by Percentile.  Colors represent countries grouped by 20 percentiles, in order of Blue (top 20%), Green (20-40%), Yellow (40-60%), Orange (60-80%), and Red (80-100%).

2013 World Liberty.png

2013 Changes in Freedom.  Blue is an increase in rank >10 and Green >5.  Yellow is status quo (change between 5 and -5).  Orange is a fall in rank of >5 and Red >10.

2013 Change in Liberty.png

2013 Most Free Countries

  1. New Zealand
  2. Switzerland
  3. Hong Kong
  4. Australia
  5. Finland
  6. Canada
  7. Liechtenstein
  8. Denmark
  9. Ireland
  10. Luxembourg

 

2013 Most Tyrannical States

  1. North Korea
  2. Eritrea
  3. Cuba
  4. Zimbabwe
  5. Syria
  6. Turkmenistan
  7. Myanmar
  8. Democratic Republic of Congo
  9. Equatorial Guinea
  10. Uzbekistan

 

2013 Greatest Increases in Liberty  

  1. Tunisia
  2. Solomon Islands
  3. Philippines
  4. Comoros
  5. Guinea
  6. Liberia
  7. East Timor
  8. Seychelles
  9. Singapore
  10. Armenia

 

2013 Greatest Increases in Tyranny

  1. Mali
  2. Ecuador
  3. Lesotho
  4. Burkina Faso
  5. Greece
  6. Mozambique
  7. Mauritania
  8. Turkey
  9. Haiti
  10. Guinea-Bissau

Colored maps modified from images at http://www.outline-world-map.com/. 

Final 2013 Rankings: Who had the Best Overall Season?

by Patrick Rhamey

Disclaimer: I hesitate to provide a final ranking, as the purpose of the ranking was to determine the best teams for the bowls, with emphasis on the national championship.  As stated in the pdf explanation, this becomes even more important in a four team playoff.  But, in the interest of evaluating the total impressiveness of each team's season, I decided to post a final ranking.  However, Alabama is the national champion.  Under the BCS rules the top two teams following the regular season, with which this ranking was in agreement, play for the national championship game.  Alabama won that game, and what this ranking is saying does not contradict any of the following: Alabama is the national champion, Alabama is the best team in the country, Alabama is much better than Notre Dame, Alabama could defeat any team played more often than not (including Texas A&M).  Roll Tide.

I've said it many times but I'll say it again, what this ranking provides is not a prediction of greatness, but an evaluation of the "body of work" (see the pdf explanation for further details).  Because prediction is dangerous with so few games in college football, I think this is a better way to decide the top two teams for a national championship (or top four teams in a playoff).  The rankings are about who has earned the right to play in the championship.  Ranking after the fact is meaningless, because there's no longer anything left to earn through your body of work: a champion has been crowned.  So, this final ranking does not trump the results of a championship contest once played, as the AP poll would claim to do if it held a difference of opinion.  As discussed below, Alabama's body of work from the season took a blow with the Florida and LSU losses in their bowl games.  The SEC is a great conference, and if you like how I've created these rankings because the network more heavily takes into account conference strength, you have to accept the SEC was hurt by these two bowl games. The proper way to interpret this final ranking is that while Alabama is the national champion, and no doubt a much better team than Notre Dame, Notre Dame had overall more difficult wins taking the entire season into account and the Notre Dame loss to Alabama is less destructive than Alabama's loss to A&M.  Is Notre Dame better than Alabama?  Absolutely not.  Did Notre Dame's regular season earn them the right to play in the national championship, despite how badly they were beaten? Absolutely.

Explanation:
Bama defeated Notre Dame, resulting in a very large rise in their win score of 5.4 (and rightly so).  However, Florida losing to Louisville (who lost to the likes of Syracuse and Connecticut) and LSU losing to Clemson exploded Alabama's loss score because both teams defeated Texas A&M.  Bama's loss score rises from 2.58 to 19.04.  For Notre Dame they experience only gains in their win score from teams they beat in the regular season winning their bowl games (BYU and Stanford).  Their loss score also obviously rises for the Alabama loss as well as the losses from teams I just mentioned that are hurting Alabama.  However, because Notre Dame is 1 step further in the chain of losses from LSU and Florida, they impact Notre Dame's score slightly less.

So when it's all said and done, after the bowl season chaos, Notre Dame and Alabama both become more central to the network of losses.  However, because Florida and LSU's debacles are more proximate to Alabama in the web of losses, the National Championship win is not enough to propel the Tide ahead of Notre Dame in their body of work.  Because I'm interested in the value of the total body of work in this ranking, Alabama no more gets to jump Notre Dame for the one (very impressive) win anymore than Louisville gets to jump Florida.  You can take a closer look at all this by comparing rankings from the last post to rankings in this post to see how each team's win and loss network centrality measures fluctuate from the bowl season.

...and then there's Ohio State.  Ohio State is immune from loss network chaos as it has no losses.  It also has fewer games, which harm Ohio State in the ranking as they have fewer opportunities to gain points.  Note that Ohio State's win score is 49, compared to 56 for Notre Dame, 55 for Alabama, 52 for Georgia, 51 for Oregon, South Carolina and Florida, and 50 for LSU.  Hypothetically speaking, if they had been placed in the same situation as Notre Dame and played Alabama, and if they had lost, then they would be ranked below all of these teams.  But the absence of detracting losses is enough to propel them to number one in the realm of total body of work.

The chaos of this season is interesting, as I've applied this method to previous seasons (2003, 2010, 2011), and the final ranking is minimally different from the final AP poll and the BCS bowl results.  But if we truly believe such cliches as "every game matters" and "it's about a team's body of work", here is the final evaluation of the 2012 season:

Explanation: Rankings Done Justly

Top 25 (Full Rankings):

  1. Ohio State (49.23)
  2. Notre Dame (39.16)
  3. Alabama (36.29)
  4. Georgia (32.19)
  5. Oregon (29.16)
  6. South Carolina (27.99)
  7. Texas A&M (27.94)
  8. Florida (26.28)
  9. LSU (25.6)
  10. Clemson (25.26)
  11. Stanford (24.05)
  12. Kansas State (21)
  13. Oklahoma (19.74)
  14. San Jose State (18.52)
  15. Florida State (17.71)
  16. Texas (17.28)
  17. Louisville (16.71)
  18. Nebraska (16.22)
  19. Northwestern (16.19)
  20. Michigan (15.67)
  21. Baylor (15.36)
  22. Utah State (14.45)
  23. Vanderbilt (14.27)
  24. UCLA (14.08)
  25. Arizona (13.87)

Week 15 Rankings

by Patrick Rhamey

BCS Rankings to be released shortly - looks like the Network Ranking will be in agreement on 1-2.

Explanation: A Fair Ranking

Top 25 (Full Rankings):

  1. Notre Dame (54.42)
  2. Alabama (47.35)
  3. Florida (47)
  4. Ohio State (45.96)
  5. LSU (43.62)
  6. Georgia (43.13)
  7. South Carolina (41.97)
  8. Texas A&M (41.55)
  9. Oregon (25.86)
  10. Kansas State (25.81)
  11. Oklahoma (24.63)
  12. Stanford (23.74)
  13. Texas (19.01)
  14. Oregon State (18.11)
  15. Clemson (16.82)
  16. Baylor (16.73)
  17. UCLA (16.28)
  18. Iowa State (16)
  19. TCU (15.77)
  20. San Jose State (15.36)
  21. Nebraska (15.31)
  22. West Virginia (15.29)
  23. Michigan (14.61)
  24. Arizona (14.25)
  25. Mississippi State (13.72)

Week 14 College Football Rankings

by Patrick Rhamey

For the remainder of the season I'll be posting Tuesdays on College Football by the Numbers (cfbtn.com) on rankings (both the Network and otherwise),

Explanation

Top 25 (Full Rankings)

  1. Notre Dame (54.12)
  2. Florida (47.05)
  3. Ohio State (45.83)
  4. Alabama (45.33)
  5. Georgia (44.05)
  6. LSU (43.62)
  7. South Carolina (41.97)
  8. Texas A&M (41)
  9. Oregon (25.71)
  10. Kansas State (24.42)
  11. Stanford (23.69)
  12. Oklahoma (23.46)
  13. Nebraska (19.95)
  14. Texas (19.68)
  15. Oregon State (17.97)
  16. Michigan (17.14)
  17. Clemson (16.9)
  18. UCLA (16.39)
  19. TCU (16.28)
  20. Baylor (15.62)
  21. Iowa State (15.45)
  22. San Jose State (15.26)
  23. West Virginia (14.66)
  24. Arizona (14.21)
  25. Mississippi State (13.99)

Week 13 College Football Rankings

by Patrick Rhamey

The network rankings told us a lot about the inadequacies of speculation dominant in other approaches, as well as the dangers of formal models based on limited and incomparable observations.  This ranking has never placed USC, Alabama, Oregon, or Kansas State at #1 (yet) not because it is a predictive genius, but because the evidence was simply never consistent with media hype.

As a comparison going into this week:
BCS: Kansas State #1, Oregon #2
AP Poll: Oregon #1, Kansas State #2
Coaches Poll: Oregon #1, Kansas State #2
Network Rankings: Oregon #5, Kansas State #8

Let's be clear, no one could have predicted what happened on Saturday with Oregon and Kansas State.  In the pdf explanation linked below, I am very explicit that the rankings are not intended to make predictions and attempting to predict is the problem with the other approaches.  What it does tell us is that rankings based on speculation are dangerous and inaccurate.  However, what the Network Rankings show is that based on the evidence going into this weekend, Oregon and Kansas State had not demonstrated they were #1 and #2.  

The BCS Rankings released later today will most likely have Notre Dame #1 and Alabama #2, which are what the Network Rankings had last week and this week (Ohio State isn't bowl eligible).  The Network Rankings have had Notre Dame #1 or #2 since the first week all the teams in the FBS were connected to one another by wins and losses (Week 7).

Notes:

  1. I've gotten some great question from people about how this all works and I'll keep addressing them.  Keep the questions coming.  One of the motivations for doing this is the lack of transparency in existing approaches.  This ranking is intended to be both conceptually and methodologically simple and clear to anyone interested in college football. 
  2. Why do you get extra points just because you've played more games?  Shouldn't you standardize the ranking by games played?   This is a question sparked by my comment a few weeks back that Ohio State had played one more game than other top ranked teams resulting in a slightly higher ranking, and other teams were likely to catch up after Ohio State's bye week.  Methodologically, this isn't inherently a bad idea, and something I've thought about a lot.  My answer at the moment, however, is no.  The underlying rationale behind the rankings is to base a rank purely upon a team's body of work.  The value of the approach is it uses the network of wins and losses between teams in the FBS to determine the relative value of each team's "work".  If you've won more games, you've done more work, and your ranking should reflect that additional work scaled by the quality of the teams you defeated (which is in turn determined by their "work", see the pdf).  To be clear, the number next to each team is the "average reciprocal distance" across the network of wins minus the network of losses - an indicator of how central a team is in the web of college football victories - or in other words, their total body of work.  
  3. Well, what about conference championships?  The above answers the conference championship question.  If you are in a conference that has a conference championship, and you win it, you should be ranked higher.  Why? You've done more work and you've earned it - and that's the point of this exercise.  I doubt anyone would say that if you are forced to play one more game than everyone else and that game is against a team like Alabama or Georgia and you win it, that somehow that game shouldn't count.
  4. What about FCS victories or losses? This is also a great question.  To my knowledge, all of the rankings essentially ignore FCS games.  The conceptual reason is pretty simple, the purpose of the ranking is to determine the best team in the FBS, and so the ranking is limited to FBS games.  Alabama doesn't win anything for crushing the Catamounts.  So if the goal is to rank FBS teams, this is fine.  If a team loses to an FCS team, yes, they should be punished severely, and by ignoring FCS teams we're not capturing that.  But in practice, this is rare, and more importantly it is unlikely to effect anything as a team that loses to an FCS team is probably going to lose to a lot of FBS teams in their regular schedule.  So, we're alright considering these games irrelevant exhibition activities.  That said, I'm not conceptually opposed to an undertaking where the goal is to create a full ranking of all college football teams, where every game, regardless of division, is an interesting piece of evidence.  Hypothetically speaking, if we were to do this, I'm sure there are a number of FCS teams that are better than the bottom ranked FBS, and it would be fun to see how that breaks down.  But, if we're going to be non-arbitrary, we'd have to go a few steps further.  FCS teams schedule I-AA teams, so we'd have to include them under the same logic of including FCS teams because they're scheduled by FBS teams.  I-AA teams schedule I-AAA teams, so we'd have to include them as well.  Before you know it, we now have hundreds of football teams in our ranking, from Alabama to the Rhodes College Lynx-cats.  I think this would be a fun exercise, but unless someone wants to fund this project enough to hire a few people to code all the wins and losses each weekend, I don't have the time on Sundays to do it myself.  Time constraints aside, it is extremely unlikely (if not impossible) that it would meaningfully effect the top 25 teams in the FBS.

Explanation: A Simple and Fair Ranking Based on Wins and Losses

Top 25 (Full Rankings)

Each team's value of wins minus value of losses in parentheses.

  1. Notre Dame (51.37)
  2. Ohio State (44.36)
  3. Alabama (44.02)
  4. Florida (43.44)
  5. LSU (41.7)
  6. Georgia (40.25)
  7. Texas A&M (38.83)
  8. South Carolina (37.93)
  9. Mississippi State (31.91)
  10. Oregon (27.33)
  11. Stanford (26.26)
  12. Kansas State (24.85)
  13. Oklahoma (22.88)
  14. Oregon State (22.87)
  15. Texas (20.59)
  16. Nebraska (19.37)
  17. Clemson (18.18)
  18. Michigan (17.97)
  19. UCLA (17.53)
  20. Arizona (17.41)
  21. Rutgers (17.03)
  22. Iowa State (16.77)
  23. Washington (16.21)
  24. San Jose State (14.69)
  25. Baylor (14.58)