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Sobering statistics

Postby SMUstangs22 » Tue Dec 29, 2015 5:00 pm

People/media keep talking undefeated season. So basic theoretical statistics. If we have a constant 95 percent chance to win a single game (probably much less)... our chances of reaching 25 games in a row would be 27.7 percent.
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Re: Sobering statistics

Postby LA_Mustang » Tue Dec 29, 2015 5:04 pm

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Re: Sobering statistics

Postby SMUstangs22 » Tue Dec 29, 2015 5:20 pm

Touche
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Re: Sobering statistics

Postby Digetydog » Tue Dec 29, 2015 5:57 pm

SMUstangs22 wrote:People/media keep talking undefeated season. So basic theoretical statistics. If we have a constant 95 percent chance to win a single game (probably much less)... our chances of reaching 25 games in a row would be 27.7 percent.


That is not correct:
1) the chance to win any individual game is nowhere near constant. Indeed, in some games, it might be closer to 50%; and

2) the math assumes that each game is independent. As we get closure to an undefeated record, I suspect that each win would have a strong impact on the next game (Pressure on SMU ⬆️, SMU confidence ⬆️, other team's desire to win ⬆️)

All in, I would guesstimate the chance of winning out < 10%.
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Re: Sobering statistics

Postby PonyFan32 » Tue Dec 29, 2015 6:01 pm

Lol. The original poster posed a hypothetical and admitted it wasn't exact but thanks for poking holes in that theory.
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Re: Sobering statistics

Postby sadderbudweiser » Tue Dec 29, 2015 6:02 pm

So you're telling me we've got a chance.
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Re: Sobering statistics

Postby SMUstangs22 » Tue Dec 29, 2015 6:04 pm

Digetydog wrote:
SMUstangs22 wrote:People/media keep talking undefeated season. So basic theoretical statistics. If we have a constant 95 percent chance to win a single game (probably much less)... our chances of reaching 25 games in a row would be 27.7 percent.


That is not correct:
1) the chance to win any individual game is nowhere near constant. Indeed, in some games, it might be closer to 50%; and

2) the math assumes that each game is independent. As we get closure to an undefeated record, I suspect that each win would have a strong impact on the next game (Pressure on SMU ⬆️, SMU confidence ⬆️, other team's desire to win ⬆️)

All in, I would guesstimate the chance of winning out < 10%.


I was just posting general conjecture aiming at putting a few very speculative and padded numbers to show how difficult it is to go undefeated. That is why I chose 95%. As in 19/20 chance regardless of opponent
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Re: Sobering statistics

Postby SMUstangs22 » Tue Dec 29, 2015 6:06 pm

sadderbudweiser wrote:So you're telling me we've got a chance.


Haha one of the best posts I have seen in a while
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Re: Sobering statistics

Postby Digetydog » Tue Dec 29, 2015 7:01 pm

SMUstangs22 wrote:
Digetydog wrote:
SMUstangs22 wrote:People/media keep talking undefeated season. So basic theoretical statistics. If we have a constant 95 percent chance to win a single game (probably much less)... our chances of reaching 25 games in a row would be 27.7 percent.


That is not correct:
1) the chance to win any individual game is nowhere near constant. Indeed, in some games, it might be closer to 50%; and

2) the math assumes that each game is independent. As we get closure to an undefeated record, I suspect that each win would have a strong impact on the next game (Pressure on SMU ⬆️, SMU confidence ⬆️, other team's desire to win ⬆️)

All in, I would guesstimate the chance of winning out < 10%.


I was just posting general conjecture aiming at putting a few very speculative and padded numbers to show how difficult it is to go undefeated. That is why I chose 95%. As in 19/20 chance regardless of opponent


Since I rarely know the right answer in stats, I had to show off my "vast" knowledge of the subject. :mrgreen: :mrgreen:
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Re: Sobering statistics

Postby SMUstangs22 » Tue Dec 29, 2015 7:02 pm

I would LOVE for our team to prove me wrong. 1 closer.
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Re: Sobering statistics

Postby DanFreibergerForHeisman » Tue Dec 29, 2015 7:05 pm

SMUstangs22 wrote:Touche

That isn't how you spell it.
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Re: Sobering statistics

Postby stl.pony » Tue Dec 29, 2015 7:23 pm

#revengetour
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Re: Sobering statistics

Postby Alaric » Tue Dec 29, 2015 11:03 pm

DanFreibergerForHeisman wrote:
SMUstangs22 wrote:Touche

That isn't how you spell it.


[deleted]?
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Re: Sobering statistics

Postby Grant Carter » Wed Dec 30, 2015 1:28 pm

RPI forecast updates their projection for the chances of finishing with various records every day. I believe they get the chances of winning each game from sagarin.

As of today they show it at 4.1% chance for SMU to go undefeated. That is the simple result of multiplying the chances for every game in the game by game section.

http://www.rpiforecast.com/teams/SMU.html
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Re: Sobering statistics

Postby SMUstangs22 » Wed Dec 30, 2015 1:31 pm

Grant Carter wrote:RPI forecast updates their projection for the chances of finishing with various records every day. I believe they get the chances of winning each game from sagarin.

As of today they show it at 4.1% chance for SMU to go undefeated. That is the simple result of multiplying the chances for every game in the game by game section.

http://www.rpiforecast.com/teams/SMU.html


I figured one of the RPI sites would do this. Also knew 95% was way to high for the average considering the Kenpom win predictability percentages that have been posted
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