Skip to content
Liquid Egg Product

Liquid Egg Product

  • Home
  • Mathematics
  • College football playoffs

College football playoffs

Posted on January 8, 2008 By Liquid Egg Product 8 Comments on College football playoffs
Mathematics, Sports

In college football (American), a ton of people start calling every year for a playoff system to replace the BCS. (Quick primer: usually, a champion of a sports league is determined by a playoff between teams who did the best during the season. Instead, the BCS determines the top two teams by a combination of human and computer polls, essentially creating a 1 game playoff.)

What people don’t think about is that a playoff system is not very likely to crown the best team in the country as champion.

Let’s take an 8-team playoff, for example, and have University of A to be “objectively” the best team in the country. And let’s assume the UA team is so good, it will defeat other elite ( top 8 ) teams 75% of the time. UA will have to win three games in a row, which it has a 42% chance of doing. This speaks highly of UA, but their chances of being recognized as champions are still worse than a coin flip.

The 75% number is higher than can be expected. 60% may be closer to realistic, giving the best team a 21% chance of winning the crown.

If that’s the system people want, then by all means they can clamor for it. As long as they recognize it’s unlikely that the best team in the country will be known as the champions. (College basketball is even worse for determining the #1 team, but everyone likes gambling on March Madness so no one brings it up).


My biggest beefs with the BCS system are:

1. Human pollsters, who cannot have knowledge of every single game played, cannot possibly hope to compare all teams adequately, and have ingrained biases, are given greater weight than the computers.

2. The computer polls are forced not to considered margin of victory in their calculations. This can throw them out of whack, as this story on Jeff Sagarin’s rankings indicates (at one point, North Dakota State was ranked in the top 20). I guess for some reason, the BCS thought that maybe these programmers wouldn’t have developed algorithms that made sure a 52-point victory didn’t mean more than a 35-point victory.

In other words, the BCS has to give computers less weight, because their own rules make computers less accurate in predicting the top two teams.

If it were up to me, I’d eliminate computer poll restrictions, and completely ignore the humans. The only check would be at the end of the year, a council would get together that could veto the computers’ selection if 75% agreed, at which point the human polls would be used to determine the game.

This is mostly off-the-cuff, so blast away with holes in this thinking.

Post navigation

❮ Previous Post: American Gladiators
Next Post: Most criminals are still idiots ❯

8 thoughts on “College football playoffs”

  1. wang says:
    January 8, 2008 at 8:15 am

    I’m not for one system or the other. However a playoff is the best way for determining the best team. If we talk about the best it means a lot of things. Sustained superior performance comes first and foremost to mind. Regular season performance gets you home field and the like, but if you are the best then you should beat the rest of the best. If that makes any sense. I know that the “better” team doesn’t always win, but the old cliche states “thats why you play the games”. An old example: Super Bowl 25, I am a diehard Giants fan but on paper the Bills were a better team. I think if they played 10 times the Bills would have won 9 times. They were dangerous and that offense was ridiculous, but on that day the Giants were better.

    Just my two cents.

    Reply
  2. Donnie says:
    January 8, 2008 at 12:01 pm

    IMO, the best team would beat other elite teams the greatest percentage of the time. The problem is that they can’t play enough games to determine this with enough accuracy. (We have different ideas as to what makes the “best” team 😀 )

    This season, Arkansas beat LSU. Arkansas is a solid team, but because we have more regular season data to go on, we can infer LSU is still better and would win the majority of head-to-head matchups. But if that were a bowl game, people would start to think Arkansas really is better than LSU. To me, this is not logical.

    If we really wanted a system that would determine the best team, we’d need a (much) longer season to increase the chance that statistical anomalies will be reduced. Every team would need close to the same schedule strength. Whoever has the best record after this huge pseudo-round-robin would be the winner.

    For football, this is impractical. So there has to be something else.

    Playoffs are exciting, especially the one-and-done type where teams have to win every single game. But the winner is the one who happens to be “on” at the end of the season, or happened to get favorable matchups, or just plain got lucky.

    As long as people recognize what they’re getting by advocating a playoff system, I’ve no problem with it. Playoffs provide a set of tense, exciting games that have a less than 33% chance of determining the best team in the league. But most people don’t realize that’s what they’re getting.

    Reply
  3. Donnie says:
    January 8, 2008 at 12:23 pm

    Addendum: I think a four-team playoff is the best idea I’ve seen so far. This would provide a balance of making sure the “true” best team has a chance to play for the title with the risk of playing too many games to make the best team’s victory unlikely.

    Reply
  4. Derek Slater says:
    January 8, 2008 at 2:20 pm

    128-team double-elimination bracket.

    re: “exciting games that have a less than 33% chance of determining the best team”, that’s exactly what people are complaining about with the BCS.

    (My secret weapon in this discussion is that I don’t care. At least not until Butch gets UNC to the top of the polls.)

    Reply
  5. Wahrheit says:
    January 8, 2008 at 2:50 pm

    I think it’s cool that you’re pointing out the real statistics behind it all…in all the other sports, with best-of-seven series and the like, the “best” team wins a vast majority of the championships, but with the small number of games in football there are going to be some crazy things happening, even with the pros. College needs to do two things before I’ll pay attention again; A) Cut the bowls down by about half. Watching a 6-6 Alabama play just because they’re Alabama instead of, say 8-4 Troy State is so patently unjust that I boycott the bowls. B) It’s idiotic to wait 6-7 weeks between the end of the season and the so-called National Championship game. By then I’ve forgotten what happened during the regular season.

    Div. 1-A BCS college football also needs a draft of HS players or something, since it’s just a minor league for the NFL where they don’t have to pay the players, and 15 or 20 schools get all the best players and the others have to fight over the scraps.

    Why am I writing so much about something I don’t care about much anymore? Good question–I guess because I was such a big fan as a kid and gradually they lost me. Too bad, because I used to really love the college game.

    Reply
  6. Tom says:
    January 8, 2008 at 4:59 pm

    I would prefer a playoff. I think it 8 or 16 teams. It is not perfect but at least the championship is settled on the field. You would still have to have some sort of ranking or other process to see which teams are included in the playoff and there would always be debates about who deserves to get in but got left out but that would keep things fun.

    Reply
  7. Allen says:
    January 9, 2008 at 12:12 am

    Donnie, by your logic, the only true way we can determine the winner would be to do things Tennis style.

    That’s where opponents face off to win 5 points, but always by a margin of at least 2.

    Of course, the whole season would be required to handle the post season so that’s why it’ll never happen.

    Basically, you just need something that people consider to have a low enough of a failure rate that is feasible.

    Reply
  8. Donnie says:
    January 9, 2008 at 10:52 am

    @Derek: I think there are only 119 teams…so we’ll have to pull 6 from somewhere.

    Re: UNC. You’ll have to hang your hat on basketball for the foreseeable future. I wonder whether Baylor or UNC will reach a BCS game first.

    @Wahrheit: That is a shame. But the system has money to think about, which is why there are so many blasted bowls. The good part about almost everyone except Temple, Duke and Buffalo making a bowl game is that there’s a strong chance your team will be in the post-season somehow!

    Re: 6-7 weeks wait time. Yeah, but the “student-athletes” have finals to think about!

    @Tom: The good part about having that many teams is that the best team in the nation will have a chance to play. The bad part is that they probably wouldn’t win. It would be exciting, though. I’d go with 4, but that’s my cranky mathematical part talking.

    The BCS could still be used to decided the top 8 or 16.

    @Allen: Absolutely, the problem is that there aren’t enough games to get a sufficient statistical sample. As long as there’s enough games played, a playoff is actually redundant (but not as fun not to have one).

    Both the BCS and playoffs (in college football) have high failure rates. Playoffs do give the illusion that the failure rate is low, so perhaps that is the way to go.

    Reply

Leave a Reply to Donnie Cancel reply

Your email address will not be published. Required fields are marked *

Recent Posts

  • 2020 was so bad, we didn’t make a single post
  • Monday Fighter!
  • King Safety
  • So, no rematch?
  • Estimate how much this cost

Recent Comments

  • Q on 2020 was so bad, we didn’t make a single post
  • annie on 2020 was so bad, we didn’t make a single post
  • annie on One could argue he’d make a poor preacher
  • annie on Monday Fighter!
  • Q on Monday Fighter!

Archives

  • January 2021
  • February 2019
  • November 2018
  • September 2018
  • June 2017
  • February 2017
  • January 2017
  • December 2016
  • November 2016
  • October 2016
  • August 2016
  • July 2016
  • June 2016
  • March 2016
  • September 2015
  • August 2015
  • May 2015
  • April 2015
  • August 2014
  • July 2014
  • April 2014
  • March 2014
  • February 2014
  • January 2014
  • December 2013
  • October 2013
  • September 2013
  • August 2013
  • July 2013
  • June 2013
  • April 2013
  • March 2013
  • January 2013
  • December 2012
  • November 2012
  • August 2012
  • July 2012
  • June 2012
  • May 2012
  • April 2012
  • March 2012
  • February 2012
  • January 2012
  • December 2011
  • November 2011
  • October 2011
  • September 2011
  • August 2011
  • July 2011
  • June 2011
  • May 2011
  • April 2011
  • March 2011
  • February 2011
  • January 2011
  • December 2010
  • November 2010
  • October 2010
  • September 2010
  • August 2010
  • July 2010
  • June 2010
  • May 2010
  • April 2010
  • March 2010
  • February 2010
  • January 2010
  • December 2009
  • November 2009
  • October 2009
  • September 2009
  • August 2009
  • July 2009
  • June 2009
  • May 2009
  • April 2009
  • March 2009
  • February 2009
  • January 2009
  • December 2008
  • November 2008
  • October 2008
  • September 2008
  • August 2008
  • July 2008
  • June 2008
  • May 2008
  • April 2008
  • March 2008
  • February 2008
  • January 2008
  • December 2007
  • November 2007
  • October 2007
  • September 2007
  • August 2007
  • July 2007
  • June 2007
  • May 2007

Categories

  • Babes & Alleged Babes
  • Bad Ads
  • Bad Movie Night
  • Blog News
  • Burning Agony
  • CG
  • Chess
  • Computer-fu
  • Corridors & Creatures
  • Eggony
  • Eggs Vs Humans
  • Entertainment
  • Gaming
  • Grilled Cheese
  • History
  • In the News
  • Mascot for President
  • Mathematics
  • Monday Fighter!
  • North Korea
  • Patently Ineffective
  • Random
  • Religion
  • Science/Technology
  • Snake Oil
  • Sports
  • Tournament of Lepers
  • Uncategorized
  • Uncomfortability
  • Weaksauce Losers

Meta

  • Log in
  • Entries feed
  • Comments feed
  • WordPress.org

Copyright © 2021 Liquid Egg Product.

Theme: Oceanly by ScriptsTown