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Big Ten Basketball Bradley-Terry Projections: After Week 2


When last we checked the projected standings, the results were a bit alarming. With two weeks of conference play in the books, it's time for another look. Team rankings (all data through January 9):

 Pom RankPom WPctBT RankBT WPctMABT RankMABT WPct
Ohio St 2 0.9873 5 0.9878 2 0.9875
Purdue 4 0.9780 11 0.9611 4 0.9796
Wisconsin 9 0.9591 18 0.9380 15 0.9595
Illinois 16 0.9542 20 0.9333 13 0.9603
Michigan St 25 0.9347 30 0.9104 35 0.9114
Minnesota 54 0.8670 39 0.8912 45 0.8903
Michigan 61 0.8491 44 0.8774 43 0.8941
Northwestern 56 0.8640 59 0.8395 44 0.8914
Penn St 74 0.8083 79 0.7869 78 0.7960
Indiana 80 0.7888 131 0.5799 108 0.6867
Iowa 68 0.8323 141 0.5474 106 0.6981

 

There's a fairly clear top tier forming with OSU, Purdue, Wisconsin, and Illinois. That's where the agreement ends, however:

  • Pomeroy (possibly impacted by preseason projections, although those are diminishing in significance in his updated system) views us as relatively close to the top tier and the other six as nearly indistinguishable.
  • The basic system (which ignores everything but your record and the opponents against which it was achieved; it's intended to be a more mathematically sound replacement for the RPI) sees a decent spread among the middle five with us slightly ahead, then a big drop to Indiana and Iowa.
  • Margin-aware (which applies the same method as the basic system except that teams are awarded fractional wins according to margin of victory on a logistic scale) views the middle four as nearly equal (although we are slightly ahead again), Indiana and Iowa way back again, and Penn State bridging the gap.

After the jump: Projected standings and this week's games. As a reminder, home court is ignored. Title chances are based on 10,000 season simulations.

Star-divide

Basic Bradley-Terry (W-L only)

TeamWPctCurrentAverage wins18-015-3 or better12-6 or better9-9 or better6-12 or worse3-15 or worse0-18Outright titleShare of title
Ohio St 0.9878 3-0 16.38 17.18% 93.45% 99.97% 1 - (1 in 9.54M) 1 in 10.3B 1 in 1.77e16 N/A 83.16% 92.46%
Purdue 0.9611 4-0 13.62 0.18% 28.91% 91.60% 99.94% 1 in 360k N/A N/A 5.80% 13.40%
Illinois 0.9333 3-0 12.00 1 in 15,100 5.79% 62.60% 98.36% 0.04% 1 in 38.6M N/A 1.09% 2.91%
Wisconsin 0.9380 2-1 11.32 N/A 1.90% 46.32% 95.90% 0.16% 1 in 1.96M N/A 0.34% 1.27%
Michigan St 0.9104 2-1 10.13 N/A 0.39% 21.05% 83.07% 1.55% 1 in 53,000 N/A 0.03% 0.24%
Michigan 0.8774 1-2 8.78 N/A 0.01% 4.93% 56.89% 8.46% 0.06% N/A 0.00% 0.04%
Minnesota 0.8912 1-3 8.67 N/A 1 in 32,500 3.81% 54.48% 9.15% 0.06% N/A 0.00% 0.00%
Northwestern 0.8395 1-3 7.40 N/A 1 in 556k 0.63% 25.21% 29.64% 0.72% N/A 0.00% 0.00%
Penn St 0.7869 2-2 5.84 N/A 1 in 26.8M 0.03% 4.57% 67.92% 5.33% N/A 0.00% 0.00%
Iowa 0.5474 0-3 2.53 N/A 1 in 33.3T 1 in 76.2M 1 in 14,900 99.59% 77.33% 5.01% 0.00% 0.00%
Indiana 0.5799 0-4 2.33 N/A N/A 1 in 1.22B 1 in 70,000 99.84% 82.88% 5.61% 0.00% 0.00%

 

Despite the loss to Penn State, we've leapfrogged Minnesota and Northwestern and have a projected lead of about 1 1/3 game for fifth place. Northwestern, meanwhile, seems to have adopted the North Side baseball team's motto: "Wait until next year". From the looks of this, the Big Ten has five teams who (if all goes according to the present ratings) should feel fairly comfortable on Selection Sunday, two more who are probably playing for their lives in the Big Ten tournament, and an eighth (Northwestern) who will need to end up a standard deviation above their projection to have a chance.

Midweek game projections:

Wisconsin (59.8%) @ MSU
Illinois (79.1%) @ Penn State
Ohio State (91.9%) @ Michigan
Northwestern (81.2%) @ Iowa
Purdue (75.1%) @ Minnesota

Expect these to be a little closer since the neutral-court favorites are all on the road. Even without that factored in, we should expect at least one of the home teams to take the upset. Here's hoping it's us.

Weekend game projections:

Northwestern @ MSU (66.0%)
Illinois @ Wisconsin (51.9%)
Penn State @ Ohio State (95.7%)
Michigan (83.8%) @ Indiana
Purdue (74.5%) @ West Virginia
Iowa @ Minnesota (87.1%)

Illinois-Wisconsin is a solid candidate for game of the weekend (along with Purdue-West Virginia); the other non-MSU games look like probable blowouts.

Margin-Aware Bradley-Terry

TeamWPctCurrentAverage wins18-015-3 or better12-6 or better9-9 or better6-12 or worse3-15 or worse0-18Outright titleShare of title
Ohio St 0.9875 3-0 15.67 6.83% 81.59% 99.75% 1 - (1 in 446k) 1 in 255M 1 in 149T N/A 56.57% 73.61%
Purdue 0.9796 4-0 14.57 1.14% 53.71% 97.98% 1 - (1 in 22,600) 1 in 9.81M N/A N/A 21.02% 36.10%
Illinois 0.9603 3-0 12.75 0.04% 13.11% 79.00% 99.57% 1 in 17,100 1 in 458M N/A 2.93% 8.15%
Wisconsin 0.9595 2-1 11.69 N/A 3.23% 55.67% 97.66% 0.07% 1 in 6.04M N/A 0.83% 2.63%
Michigan St 0.9114 2-1 9.07 N/A 0.05% 7.36% 63.02% 6.16% 0.02% N/A 0.03% 0.09%
Michigan 0.8941 1-2 8.49 N/A 1 in 13,200 3.66% 49.96% 12.10% 0.13% N/A 0.00% 0.02%
Northwestern 0.8914 1-3 8.00 N/A 1 in 105k 1.68% 38.47% 18.53% 0.30% N/A 0.00% 0.00%
Minnesota 0.8903 1-3 7.74 N/A 1 in 359k 0.94% 32.33% 22.37% 0.41% N/A 0.01% 0.01%
Penn St 0.7960 2-2 5.24 N/A 1 in 283M 1 in 21,200 1.75% 80.85% 11.13% N/A 0.00% 0.00%
Iowa 0.6981 0-3 3.33 N/A 1 in 272B 1 in 2.01M 0.08% 97.70% 56.44% 1.74% 0.00% 0.00%
Indiana 0.6867 0-4 2.43 N/A N/A 1 in 532M 1 in 37,800 99.75% 79.98% 5.33% 0.00% 0.00%

 

This set of projections isn't quite so optimistic for us, although we are still in fifth place. Iowa and Indiana loom as slightly larger dangers to the middle tier, and Wisconsin, Purdue, and Illinois look even more formidable. A win over Wisconsin would go a long way toward averting the unthinkable.

Midweek game projections:

Wisconsin (69.8%, -4.5) @ MSU
Illinois (86.1%, -10.5) @ Penn State
Ohio State (90.3%, -12.5) @ Michigan
Northwestern (78.0%, -7) @ Iowa
Purdue (85.6%, -10) @ Minnesota

Weekend game projections:

Northwestern @ MSU (55.6%, -1.5)
Illinois (50.5%, even) @ Wisconsin
Penn State @ Ohio State (95.3%, -17)
Michigan (79.4%, -7.5) @ Indiana
Purdue (81.0%, -8) @ West Virginia
Iowa @ Minnesota (77.8%, -7)

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How accurate are these at this point in the season?

Is there any way to check these models at this point in the conference season last year or two years ago, etc and then compare them to the actual final results? Seems like 3 or 4 games into the conference season it’s really hard to get a good prediction of who will finish where, which makes some of these models seem kind of pointless to me, but maybe i’m totally wrong and these are actually quite accurate.

by Rainking720 on Jan 11, 2011 3:07 PM CST reply actions  

Hard to say.

This is the first time I’ve run them during the season. For football, the pre-conference projections were off by an average of about a game and a half (they particularly liked Indiana and Northwestern due to them playing weak teams in non-conference who had good records before getting into their own conference schedules), but those were based on three or four games of input as opposed to the dozen or so we had in pre-conference here.

I don’t think they’re any worse than most systems which allow for predictions at this point, but there are always teams which catch fire or fall apart late in the season; some you can see coming a mile away, some surprise everybody.

I've got this terrible pain in all the diodes down my left-hand side.
Bradley-Terry rankings for college football and basketball: because there aren't enough computer rankings already.

by SpartanDan on Jan 11, 2011 8:50 PM CST up reply actions  

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