2015-09-07

NCAA Football Power Rankings, Week 1

Yes, it's that time of year again, when the college football madness begins.

What follows is an explanation mostly copied from 2014's week 1 post.

A few years ago, I thought to myself, "I could do a better job than some of the BCS computers".  As I recall, at the time I felt Mizzou was underrated.  The BCS rules stated margin of victory cannot be used, so I thought I'd stick to that.  I put together a convergence algorithm, in which I initially rank the teams by record (so all the undefeated teams start tied at #1), then calculate each team's strength of schedule based on the current rankings of its opponents, and re-sort based on that strength.  I run through this process until 2 consecutive iterations give the same result, or there is a loop.  So, if iteration 10,002 gives the same rankings as iteration 10,000, then each subsequent iteration would fluctuate between the rankings in 10,000 and 10,001.  I average those rankings to come up with the final rankings.  It is still possible - but generally unlikely - that teams can tie for a final ranking. Now that the BCS is dead, I'll just consider these rankings my advice on #1 to #4 to the College Football Playoff committee.

Due to most teams playing other teams in lower divisions at times, and a lack of desire on my part to delve so deeply that I have to track down NAIA schedules, I've decided to count all games listed on ESPN's college football site, which includes all FBS, FCS, and Division II and III schedules, and any of their lower-tier opponents, but only when those opponents play at least a Division III team.  I then filter the final results to only the 128 FBS schools.

In week 1, there are only 2 possible situations for a team. First is to be 1-0, having defeated an 0-1 team. Second is, unsurprisingly, to be a 0-1 team, having lost to a 1-0 team. For this reason, in week 1, all 1-0 teams will be tied for #1, and the rest tied at N+1, where N is the number of #1 teams. Did your team choose to beat up on an FCS (formerly known as Division 1-AA) team? Congrats, you're #1 this week!

This year the FBS lost a team, and gained a team. You've probably heard about the controversy around UAB's program, but they're supposed to be back in 2017. Joining the fray to round out the 128 FBS teams is UNC-Charlotte.

I found one bug in my software this year, which didn't affect the final rankings in 2014, but could have jostled some teams around in the early weeks. If you wagered anything based on my rankings, my apologies. I only found it because there's one team, Montana, that has played two games this year, while all others have only played one, with North Dakota State enjoying a bye week after their pre-week 1 matchup. Sorting is hard when you roll your own algorithm like an idiot.

Let's get to the silliest rankings of the year, week 1!

1Oklahoma State1-0
1Wake Forest1-0
1Ball State1-0
1Georgia Tech1-0
1Connecticut1-0
1Western Kentucky1-0
1Utah1-0
1TCU1-0
1Ohio1-0
1Utah State1-0
1Duke1-0
1Arizona1-0
1Nevada1-0
1San Jose State1-0
1Fresno State1-0
1Hawaii1-0
1Charlotte1-0
1Michigan State1-0
1Baylor1-0
1Syracuse1-0
1Oregon State1-0
1Boise State1-0
1Georgia1-0
1Ole Miss1-0
1Northwestern1-0
1Navy1-0
1Rutgers1-0
1Iowa1-0
1Maryland1-0
1Clemson1-0
1Pittsburgh1-0
1Boston College1-0
1Illinois1-0
1Air Force1-0
1Buffalo1-0
1Miami (OH)1-0
1Appalachian State1-0
1Arkansas1-0
1Auburn1-0
1UCLA1-0
1Texas Tech1-0
1BYU1-0
1Old Dominion1-0
1Temple1-0
1Tulsa1-0
1Indiana1-0
1Missouri1-0
1Colorado State1-0
1Tennessee1-0
1Rice1-0
1California1-0
1Miami (FL)1-0
1East Carolina1-0
1South Alabama1-0
1South Florida1-0
1Memphis1-0
1Louisiana Tech1-0
1Middle Tennessee1-0
1Oklahoma1-0
1Texas A&M1-0
1Kentucky1-0
1Kansas State1-0
1Notre Dame1-0
1West Virginia1-0
1Florida1-0
1Northern Illinois1-0
1San Diego State1-0
1Alabama1-0
1Oregon1-0
1Iowa State1-0
1Houston1-0
1New Mexico1-0
1Cincinnati1-0
1Florida State1-0
1Mississippi State1-0
1USC1-0
1Marshall1-0
1Ohio State1-0
1South Carolina1-0
80Troy0-1
80Vanderbilt0-1
80North Carolina0-1
80Kansas0-1
80Akron0-1
80Arizona State0-1
80Michigan0-1
80Texas0-1
80Colorado0-1
80Georgia Southern0-1
80New Mexico State0-1
80UNLV0-1
80Washington State0-1
80Georgia State0-1
80Wisconsin0-1
80Kent State0-1
80Minnesota0-1
80Western Michigan0-1
80Central Michigan0-1
80Texas State0-1
80SMU0-1
80Arkansas State0-1
80Purdue0-1
80Idaho0-1
80Virginia Tech0-1
80UTEP0-1
80Louisville0-1
80Virginia0-1
80Army0-1
80Nebraska0-1
80Eastern Michigan0-1
80UCF0-1
80Penn State0-1
80Washington0-1
80Florida Atlantic0-1
80Tulane0-1
80Bowling Green0-1
80Wyoming0-1
80Stanford0-1

3 comments:

  1. I always like watching your College and NFL rankings throughout football season.

    ReplyDelete
  2. Same here!

    How is the cancelled LSU-McNeese game going to figure into this model?

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    Replies
    1. It's going to harm LSU, assuming they would have won. Basically, the model is blissfully unaware of the game. At the end of the regular season, LSU will only have 11 games played. I remember at the outset considering using an average strength of schedule measure, since some teams play more or fewer games, but I opted instead to reward the teams that play an "extra" game (this was before the playoff, and now it practically guarantees I'll rank the championship game winner as #1). Another win is always a good thing, no matter how powder puff the opponent, though a win over a better team is even better. I'm actually not sure how the BCS computers would have handled that game. I could call it a tie, because I built the software to handle those for some reason. If nothing else, it will provide me an interesting "what-if" scenario in any particularly boring weeks.

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