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The Power Five => Big Ten => Topic started by: Cincydawg on July 14, 2021, 09:49:13 AM

Title: In the 12 team playoff scheme ....
Post by: Cincydawg on July 14, 2021, 09:49:13 AM
Once in 50 years means in efffect, never, then rare, pretty rare, pretty often, and nearly all the time (which I doubt of course).
Title: Re: In the 12 team playoff scheme ....
Post by: FearlessF on July 14, 2021, 09:55:58 AM
once in 20

maybe a bit more than that, but not once a decade
Title: Re: In the 12 team playoff scheme ....
Post by: medinabuckeye1 on July 14, 2021, 10:54:09 AM
I think you need more choices between #4 and #5.  Your options are:


IMHO, the jump from ~20% to ~80% is far too large.  

In the other thread @OrangeAfroMan (https://www.cfb51.com/index.php?action=profile;u=58) pointed out that there are some REALLY good teams that would have been #5 or #6 seeds or higher over the course of the past couple decades.  Just within the CFP era all of the following teams would have been #5 or #6 seeds and I think that any of them could win the whole thing without needing any major miraculous upsets of vastly superior teams:

So by my calculations the #5 and higher seeds had the following number of plausibly legitimate NC Contenders:
My thinking is that the top-4 seeds will almost always all be legitimate contenders so you are going to have an average of about 6.8 legitimate contenders per year.  Thus, each one has an average of a 14.7% chance to win it all.  Then I'd make two adjustments:

Thus, my percentage chance would be a little over 20% (equals 14.7%*2.8 which is 41.2% divided by two to reflect the fact that 1-4 are generally better than 5+).  

20% is every five years so I chose "every five years or so".  

Title: Re: In the 12 team playoff scheme ....
Post by: FearlessF on July 14, 2021, 11:01:58 AM
but, are you adding the extra game?
Title: Re: In the 12 team playoff scheme ....
Post by: medinabuckeye1 on July 14, 2021, 12:05:50 PM
but, are you adding the extra game?
Honestly, I left that off because I'm not sure how it will play out.  

Consider this example:
Suppose that #4 and #5 are essentially equal and interchangeable but that #4 beat #5 in a close game (home game for #4) and thus made the CCG while #5 missed the CCG.  So here are their paths to the NC after the regular season ends (a lot of assumptions here but we don't know yet so just go with it):

Conference Championship Weekend:

First round games (mid December?):

Quarterfinals (bowl games on or around NYD?)

Semifinals (around the time of the current NCG?)

NCG:

Note that #5's path is actually easier than #4 and there is the possibility that #4 will be rusty on NYD after a month off while #5 will have had a game mid-December.  

Obviously it isn't always going to work out like that.  if #5 lost the CCG then they do have an extra game and fatigue is going to be a potential factor.  I just don't know.  


Title: Re: In the 12 team playoff scheme ....
Post by: OrangeAfroMan on July 14, 2021, 12:08:34 PM
Wow....the fact that 'every 50 years' has any votes blows my mind.  You must really REALLY believe in the rankings, lol.  It's just comically false.  
Title: Re: In the 12 team playoff scheme ....
Post by: Cincydawg on July 14, 2021, 12:11:45 PM
Let's imagine the #5 team is really good, it happens.  So, they'd have probably a 90% chance of beating #12, and then perhaps a 55% chance of beating #4, and a 50% chance of beating #1/2.

That's about a 20% chance, one in five, IFF that #5 team is really good.  I don't think some of those UGA teams were very good.

So, if perchance that #5 team is really good every say 4 years, that boils down to a 5% chance per year.

I presume the #4 seed plays the winner of #5vs12 right?
Title: Re: In the 12 team playoff scheme ....
Post by: OrangeAfroMan on July 14, 2021, 12:15:25 PM
@medinabuckeye1 (https://www.cfb51.com/index.php?action=profile;u=1547) - when you're doing fun, back-of-the-envelope math like that, you need to include that in 7 years, no 3 seed has won it!  
Title: Re: In the 12 team playoff scheme ....
Post by: OrangeAfroMan on July 14, 2021, 12:19:17 PM
Let's imagine the #5 team is really good, it happens.  So, they'd have probably a 90% chance of beating #12, and then perhaps a 55% chance of beating #4, and a 50% chance of beating #1/2.

That's about a 20% chance, one in five, IFF that #5 team is really good.  I don't think some of those UGA teams were very good.

So, if perchance that #5 team is really good every say 4 years, that boils down to a 5% chance per year.

I presume the #4 seed plays the winner of #5vs12 right?
That's all good, but when the 5 would be good would be just as important:  'on average' is very different than 'randomly'.  The 5 could be very good every 4 years on average, but in any 20-year sample, it would be good in clusters and not be good in clusters.  So it may be good more often early in a decade and not at all in the rest of a decade.  So that 5% per year is going to be tempting fate in year 7 and we won't have to wait 20 years.
Title: Re: In the 12 team playoff scheme ....
Post by: Cincydawg on July 14, 2021, 12:34:31 PM
Yes, random numbers are, well, random, and can cluster.
Title: Re: In the 12 team playoff scheme ....
Post by: ELA on July 14, 2021, 12:35:37 PM
IMHO, the jump from ~20% to ~80% is far too large. 
Eh, negligible, because they are both too high
Title: Re: In the 12 team playoff scheme ....
Post by: FearlessF on July 14, 2021, 12:36:18 PM
@medinabuckeye1 (https://www.cfb51.com/index.php?action=profile;u=1547) - when you're doing fun, back-of-the-envelope math like that, you need to include that in 7 years, no 3 seed has won it! 
so, odd numbered seeds have under-performed

not good news for the #5

perhaps the #6 has a better shot 
Title: Re: In the 12 team playoff scheme ....
Post by: betarhoalphadelta on July 14, 2021, 12:36:46 PM
Wow....the fact that 'every 50 years' has any votes blows my mind.  You must really REALLY believe in the rankings, lol.  It's just comically false. 

But it seems odd to hear that, coming from you... You're the one that wants to make sure that only the "best" teams get into the playoff at all, if there need be a playoff.

If you don't trust the rankings enough to discern that the #5 or #6 team will win that "rarely", then how can we assume that the rankings that determined the pre-1997 MNC, the two BCS entrants, or the 4 CFP entrants are useful?
Title: Re: In the 12 team playoff scheme ....
Post by: FearlessF on July 14, 2021, 12:39:12 PM
Wow....the fact that 'every 50 years' has any votes blows my mind.  You must really REALLY believe in the rankings, lol.  It's just comically false. 

it's someone's opinion, it doesn't align with yours
it's a poll
it's why some feel that polls are unreliable
Title: Re: In the 12 team playoff scheme ....
Post by: Cincydawg on July 14, 2021, 12:42:52 PM
If all 12 teams are "the same", we'd expect the five seed to win only 1 time in 12, on average of course.  I think it plausible "every so often" that a 5 seed is say 11-2 and came on late and is really good, we all have seen that.  But they still have to beat two very very good teams, which is not probable.
Title: Re: In the 12 team playoff scheme ....
Post by: FearlessF on July 14, 2021, 12:44:32 PM
2 very good teams and 1 good team
Title: Re: In the 12 team playoff scheme ....
Post by: medinabuckeye1 on July 14, 2021, 04:01:12 PM
@medinabuckeye1 (https://www.cfb51.com/index.php?action=profile;u=1547) - when you're doing fun, back-of-the-envelope math like that, you need to include that in 7 years, no 3 seed has won it! 
There could be more to it, but my thinking is that the lack of #3 seeds winning is just a random thing.  

So here is the whole history by seed:
2014:
2015:
2016:

2017:
2018:
2019:
2020:
Champions:

Up through 2018 the #1 seed had never won the NC and they were a pretty dismal 3-5 overall but they've won the last two to improve to two NC's and 7-5 overall.  The #4 seeds started out great winning two of the first four and being 4-2 overall through 2017 but they haven't won a game since so now they are 4-5.  

Last three years:
That seems like statistically what you would expect in general.  
Title: Re: In the 12 team playoff scheme ....
Post by: Brutus Buckeye on July 14, 2021, 05:38:45 PM
2 very good teams and 1 good team



3 very good teams and 1 good team, by my count. 




Title: Re: In the 12 team playoff scheme ....
Post by: OrangeAfroMan on July 14, 2021, 08:20:27 PM
There could be more to it, but my thinking is that the lack of #3 seeds winning is just a random thing. 
Yup