Adv. Stats Win Probabilities Rehash, Week 7 Results

Submitted by Ecky Pting on

After the ClusterPunt debacle with MSU on Saturday, I continue to be in a state of suspended disbelief regarding UM's ranking at #2 as per the S&P+ composite numbers.  What's also interesting to note, beside the smattering of teams with 2 and 3 losses in the top 25, is that the upper echelon which U-M shares with Clemson, is separated by about 2.5 points from the next level shared by Alabama & Baylor.  The total separation across the top 10 is about one TD, and 2 TD's across the top 25.

Along those lines, Bill Connelly has once again updated the Adv. Stats Profile for Michigan, which of course features a win probability for each of the remaining games.  So given that, here's an updated look at the Total Wins Probability distribution:

U-M Total Wins PDF, 2015 wk. 7
click to embiggen --^

Mr. Obvious: "WTF! Where's the bell-shaped curve?"

Mr. Smarty-pants: "Dude, it's a Poisson Binomial random process.  Take a stats class."

Bill Connelly's model continues to be stoked on that high-octane MaizenBrew Cool-Aid.  I'd suspected that UM's statistical profile is some sort of outlier and some regression toward the mean might be anticipated after future games - especially after a loss that saw the defense gouged by Connor Cook, but trying to noodle thing through, the defense allowed only 21 points to MSU's top 40 offense, which is still much better than average, and that gets effectively averaged with the other 6 games.  That said, it would seem that U-M's defense is well-established at the so-called "elite" level, and it will take significant and protracted poor performance to revert from that.  Same principal would also apply to the offense, I think.  Pretty well established at the top 50-ish range.

Oh, and here are the individual game numbers that went into it:

                   Win
Opponent         Probability
---------------+------------
at Minnesota        87%
Rutgers             98%
at Indiana          88%
at Penn State       76%
Ohio State          71%

The likelihood of beating OSU has declined from 82% last week to 71% now.  Sound familiar? OSU once again is taking half a season to remember how to play football while practicing with tomato cans, but will probably have things in order by the time Sparty comes to town, which is good for U-M, because U-M needs OSU to be undefeated when they roll into Ann Arbor.

Mr. Obvious: "That means I'll have to pull for OSU. Maybe I'll just take the Missus out for brunch at the Museum that day."

"The enemy of my enemy is my friend."
                   - Sanskrit proverb, ~400 B.C.

So just to get a complete picture of how all of these probabilities impact conference standings and prospects for U-M to win a B1G Championship, here you go:

B1G East B1G Overall
W L W L
Michigan* 7 1 10 2
Ohio State 7 1 11 1
Michigan State 6 2 10 2
Penn State 5 3 8 4
Rutgers* 2 6 5 7
Indiana 2 6 6 6
Maryland 0 8 2 10
         
B1G West B1G Overall
W L W L
Iowa 8 0 12 0
Wisconsin 6 2 9 3
Illinois* 5 3 8 4
Nebraska 5 3 7 5
Northwestern 2 6 6 6
Minnesota 1 7 4 8
Purdue 0 8 1 11
* head-to-head tie break winner

Given that U-M is expected to win each of its remaining games, including OSU, and MSU is also expected to lose to OSU and at Nebraska, that would make U-M the B1G East champion.  U-M would also be favored to beat Iowa in that neutral site matchup.

Comments

alum96

October 20th, 2015 at 10:25 AM ^

I am looking forward to FEI coming out to balance S&P+.  FEI overall is 9 for UM which is at least plausible as is top 5 of Clemson, Utah, LSU, Bama, Baylor.

Also I dont take much stock in the S&P+ overall thingie - I dont get its logic.  I do of course love the unit measurements of offense and defense.  But how a team ranked #1 in D and #50 in O is #2 "overall" is beyond me.  OSU is 14 v 16 and only ranked 5. Much more balanced and both units top 20.  Likewise FSU is 12/25, LSU 7/33 etc.

I also think those win prob are wacky for both PSU and OSU.  PSU is MSU with a better rb but worse QB, and on the road.

 

Soulfire21

October 20th, 2015 at 1:50 PM ^

Would you still be confused as to Michigan's #2 S&P+ ranking if Blake had gotten the punt off cleanly?

I do think it's bullish, the eye test clearly says we are not #2, but fluky plays are supposed to be filtered out of it.

We do know S&P+ has it's flaws as it predicted a 20ish point victory over MSU, but damn would I love this result to come to fruition.

Jevablue

October 20th, 2015 at 9:27 PM ^

Still have a hard time seeing the O not stumble on the road at one of either Minny or PSU.  The problem with depending on the D to smother everyone when the O is anemic is the margin for error is razor thin.

Jake needs to be able to get over the top, to me the whole season hinges on it.  Fear down the field opens up the box and vice versa.  Can't have one consistently without the other.  IMO.

Hoping for 10 expecting 9.

shoes

October 21st, 2015 at 9:40 AM ^

I think we keep getting better, not every single week but overall, and I think we improve incrementally more than the competition based on the impact of the coaching staff still reshaping the team. As tough as the bye is on me as a fan, I think our coaches will take full advantage of the extra time. OSU MIGHT still be a bridge too far, but just get us there with 9 wins going in and a fighting chance.