Sunday, October 16, 2011

Rankings through October 15th

With a fleet of undefeateds still out there, the observation of the week is about how jumbled the RWFL rankings are, both this week and compared with previous weeks. As seen in the plot below, four different teams appear in our top two for some values of the parameter p: Oklahoma State, Clemson, Alabama, and Oklahoma.


















Contrast this with the plots from previous weeks, when we of course had less game data. In particular, it's worth mentioning again that these rankings are based only on the final information about who won and who lost. No scores, no stats, no scouting. Just wins and losses. That is, just like the computer systems in the BCS Standings. So strong conclusions are necessarily made from limited information. But we'll have more of that information every week. And of course the other undefeateds are ready to move up if given the chance.

Our rankings (at p=0.75) for the full FBS and FCS are available on Kenneth Massey's College Football Ranking Comparison.

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2 Comments:

At October 16, 2011 at 4:01 PM , Blogger Mason said...

You should consider writing up some of the stuff from the past few years for SIAM News. Given the text in the many blog entries, you could probably do the core dump really quick and then polish it. If you really wanted to, this would make an interesting math-for-the-public book, but in that case it would gobble up huge amounts of time. I think the SIAM News bit is eminently doable without eating up too much time.

 
At October 17, 2011 at 8:19 AM , Blogger Peter J. Mucha said...

That is a really interesting idea. I usually just quickly scribble down my random thought when I see the plot on Sunday. Usually I only intend them to be specific to the context of the week, so I'd have to go back through to see whether any of my comments are "evergreen" for such a compilation. And, of course, my writing queue is already deeper than the time I allocate to get through it, as you know all too well, Mason!

 

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