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)

Week 12 College Football Rankings

by Patrick Rhamey

Worth noting after Bama's defeat at the hands of the Aggies: the Network Rankings provided here, along with only two of the computer rankings, are the only rankings that have not listed Alabama number 1 this season.

Notes:

  • Why Didn't Alabama Fall?!  Well, they did.  Look at Alabama's raw score this week (42.98) vs. their raw score last week (43.94).  Now look at the others.  Notre Dame's score climbed 3.65.  Florida increased 3.46.  Texas A&M with their tremendous win, jumped 7.47 (remember when you compare rankings that the BCS doesn't include Ohio State, so the BCS and the Network Rankings are in agreement with TAMU at #8).  Also remember, that a gain or loss for Bama (or any other team) is not solely because of the game played that week, but also due to how the teams they beat (or lost to) in previous weeks performed in their games.

  • Why Did Alabama only fall one point when they were defeated by a two loss team?!  Well, they fell by more than that.  The loss is counting for -2.58 if you open the spreadsheet.  Their win score goes up because teams that Alabama beat in previous weeks won.  For example, Alabama is getting a little boost this week for Michigan beating Northwestern.  Remember, it's the whole season that counts.  Alabama losing to A&M doesn't determine their rank by itself any more than their win against LSU last week meant they were number 1.  We have to take all the evidence together.  Every game counts because every game provides us a glimpse of evidence into each team's relative position.

  • Oregon?! Kansas State?! As with Bama last week, Oregon, though undefeated, has not provided evidence against sufficiently good teams (aka teams who win) to prove they are number one, or even better than Florida or Alabama.  Experts may deem them number 1 because of the "look test", but remember, the "look test" has also crowned so far this season both USC and Alabama #1 .  However, both Oregon and K State have perhaps the most difficult portions of their schedules still to come, giving them them plenty of opportunity to provide evidence.

  • Is there SEC Bias in the BCS?! I've seen a lot of people complaining about an SEC bias online (particularly Clemson fans).  The answer is no.  Taking Clemson as an example, the loss to Florida State is bad, because Florida State lost to NC State, and NC State looses to just about everyone.  It's only one loss, but it hurts.  To the contrary, The top SEC teams have only lost to other top SEC teams, meaning their losses are minimally costly.  The SEC is just that good.  That said, the BCS rankings, while very different than the rankings based on existing evidence presented here, don't appear to be biased against the SEC either (both the Network Rankings and BCS Rankings have 6 SEC teams in the top 10).  There is, I believe, a bias in the polls to try and represent the top teams in the main conferences highly where reasonable, so teams like Clemson, Oregon, and Kansas State are getting undue credit at this point in the season despite the poor quality of their wins.  Remember, I'm not saying Kansas State or Oregon isn't potentially the best team, they just haven't given as much evidence given the network of wins and losses as Notre Dame, or even the one loss SEC teams.

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

Top 25 (Full Rankings)

Each team's win score (value of wins) minus loss score (cost of losses) in parentheses.

  1. Notre Dame (48.27)
  2. Alabama (42.98)
  3. Florida (42.53)
  4. Ohio State (41.96)
  5. Oregon (41.53)
  6. LSU (39.96)
  7. Georgia (39.67)
  8. Kansas State (39.36)
  9. Texas A&M (38.02)
  10. South Carolina (37.09)
  11. Louisiana Tech (32.86)
  12. Oklahoma (32.19)
  13. Mississippi State (28.87)
  14. Stanford (23.33)
  15. Oregon State (21.12)
  16. Texas (18.69)
  17. Texas Tech (17.77)
  18. Nebraska (17.64)
  19. Clemson (16.38)
  20. Michigan (15.76)
  21. UCLA (15.14)
  22. USC (15.08)
  23. Arizona (14.92)
  24. Iowa State (14.49)
  25. Washington (14.29)

Week 11 College Football Rankings

by Patrick Rhamey

Notes:

  • Despite an ugly win by Notre Dame and finally the defeat of a good team by Alabama, Notre Dame maintains a very slight lead.  Beating LSU < An Entire Season of Defeating Good Opponents.  Remember, because it's the network of wins and losses, how the teams that Notre Dame and Alabama defeat then perform says a lot about their future ranking.  There was an exchange by Corso and Herbstriet on Gameday yesterday on this topic.  Corso says ND has shown the most evidence and should be #1, Herbstreidt says Alabama wins the "look test".  Unfortunately, the "look test" (the same reason Herbstriet believe USC was the number 1 team at the beginning of the season) is the problem.  We can't compare "the look" of winning in death valley at night to a cold home game against Pitt anymore than we can compare a game played in Ireland with a game in Tuscaloosa against Western Kentucky.  Just count the wins and losses Herbstreit, and it'll work itself out by the end of the season.
  • Ohio State is higher up because they've played 10 games, while everyone else has played nine.  Yes, other than Nebraska and Penn State, they've played a bunch of scrubs.  I don't adjust for bye weeks and number of games since it works itself out in the end, but you can take Ohio State in the three spot with a grain of salt because of the one game bonus they're currently getting.
  • Oregon is slowly inching up.  The problem with the USC win is that USC wasn't that amazing to begin with (unlike LSU for Bama).  So it's beginning to look like Oregon needs a little help (ND or Bama have to lose).
  • K State has a bigger Oregon problem than Oregon as the teams in the Big 12 beat up on one another. And so, they hold their place in a distant number 7.  
  • Big loser is inconsistent Arizona - crushed by UCLA.
  • Big Winner this week is Texas A&M, jumping up the list with a good win against Mississippi State.  The Aggies play Bama this Saturday.  Here's Bama's chance to prove they're number 1.

Explanation: a fair ranking on the network of wins and losses.

Top 25 (Full Rankings)

Each team's win score (value of wins) minus their loss score (cost of losses) in parentheses.

  1. Notre Dame (44.62)
  2. Alabama (43.94)
  3. Ohio State (40.27)
  4. Florida (39.07)
  5. Oregon (38.27)
  6. LSU (37.47)
  7. Kansas State (36.44)
  8. Georgia (36.39)
  9. Louisville (34.14)
  10. South Carolina (34.11)
  11. Texas A&M (30.55)
  12. Louisiana Tech (30.04)
  13. Oklahoma (29.17)
  14. Mississippi State (26.21)
  15. Stanford (20.83)
  16. Oregon State (20.83)
  17. Tennessee (19.25)
  18. Texas Tech (17.64)
  19. Texas (15.56)
  20. Nebraska (15.43)
  21. Clemson (14.64)
  22. Iowa State (14.04)
  23. West Virginia (13.85)
  24. UCLA (13.81)
  25. Washington (13.5)

Week 10 College Football Rankings

by Patrick Rhamey

Note: despite the many upsets this past weekend, they were not predicted by any existing ranking system, further emphasizing the need for a ranking constructed purely on past evidence and not future speculation

Explanation: a fair ranking on the network of wins and losses.

Top 25 (Full Rankings)

Each team's win score (value of wins) minus their loss score (cost of losses) in parentheses.

  1. Notre Dame (42)
  2. LSU (36.82)
  3. Florida (36.45)
  4. Alabama (36.14)
  5. Ohio State (35.95)
  6. Oregon (35.9)
  7. Kansas State (34.63)
  8. Georgia (33.8)
  9. South Carolina (32.45)
  10. Oregon State (31.37)
  11. Stanford (31.14)
  12. Louisville (30.38)
  13. Arizona (28.93)
  14. Texas Tech (28.75)
  15. West Virginia (26.98)
  16. USC (26.12)
  17. Oklahoma (26.11)
  18. Mississippi State (25.9)
  19. Louisiana Tech (25.47)
  20. Washington (25.44)
  21. Texas (25.36)
  22. Texas A&M (24.22)
  23. Iowa State (23.32)
  24. Toledo (22.8)
  25. Oklahoma State (20.18)

Week 9 College Football Rankings

by Patrick Rhamey

Explanation: how to create fair rankings.

Top 25 (Full Rankings)

Each team's win score (value of wins) minus their loss score (cost of losses) in parentheses.​

  1. ​Florida (36.19)
  2. Notre Dame (35.87)​
  3. LSU (34.3)​
  4. Alabama (33.49)​
  5. Oregon State​ (32.79)
  6. Kansas State (32.54)​
  7. Oregon (32.2)​
  8. Ohio State (31.26)​
  9. Stanford (28.88)​
  10. Texas Tech (28.67)​
  11. Louisville (26.7)​
  12. West Virginia (26.18)​
  13. Rutgers (26.18)​
  14. Oklahoma (26.1)​
  15. Mississippi State (25.84)​
  16. South Carolina (25.59)​
  17. Ohio (25.59)​
  18. USC (25.15)​
  19. Georgia (24.78)​
  20. Arizona (23.92)​
  21. Texas (23.53)​
  22. Louisiana Tech (23.37)​
  23. Michigan (22.26)​
  24. Texas A&M (22.06)​
  25. Iowa State (20.76)​

Week 8 College Football Rankings

by Patrick Rhamey

Top 25 (Full Rankings)

Each team's win score (value of wins minus the value of losses) is in parantheses

  1. ​Florida (32.68)
  2. Notre Dame​ (31.7)
  3. Kansas State​ (29.05)
  4. LSU​ (27.97)
  5. Alabama​ (27.87)
  6. Ohio State​ (26.49)
  7. Texas Tech​ (26.35)
  8. Oregon State​ (26.34)
  9. Oregon​ (26.31)
  10. Stanford​ (24.29)
  11. West Virginia​ (23.99)
  12. Rutgers​ (23.79)
  13. Oklahoma​ (23.38)
  14. South Carolina​ (23.32)
  15. Iowa State​ (22.88)
  16. Ohio​ (22.6)
  17. Louisville​ (21.84)
  18. USC​ (21.53)
  19. Mississippi State​ (21.23)
  20. Texas A&M​ (20.68)
  21. Georgia​ (20.03)
  22. Louisiana Tech​ (20)
  23. Washington​ (18.18)
  24. TCU​ (18.06)
  25. Cincinnati​ (17.35)

Week 7 College Football Rankings

by Patrick Rhamey

​Top 25 (Full Rankings)

Each team's win score (value of wins minus the value of losses) is in parantheses

  1. ​Florida (25.2)
  2. Notre Dame​ (23.41)
  3. Oregon​ (23.13)
  4. Ohio State​ (22.17)
  5. Stanford​ (21.85)
  6. South Carolina​ (21.38)
  7. Kansas State​ (20.9)
  8. Oregon State​ (20.32)
  9. West Virginia​ (20.17)
  10. LSU​ (19.56)
  11. Alabama​ (18.84)
  12. Iowa State​ (17.96)
  13. Georgia​ (17.83)
  14. Ohio​ (16.95)
  15. Washington​ (16.94)
  16. Texas Tech​ (16.93)
  17. Louisiana Tech​ (16.53)
  18. Rutgers​ (16.3)
  19. Michigan State​ (15.15)
  20. Louisville​ (15.09)
  21. Oklahoma​ (14.68)
  22. Florida State​ (14.6)
  23. Mississippi State​ (14.53)
  24. Miami​ (14.25)
  25. Duke​ (14.05)