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A small add-on to the BCB Over/Under Contest stats

I'm mostly posting this because of who ended up at the bottom of the rankings. :) After seeing KLSnow's contest stats I got curious how everybody's individual picks stacked up against that overall snapshot of our thoughts, so I did some quick calculations to find out. (For the mathematically inclined: It's just the 30-dimensional vector distance, where each Over/Under corresponds to a 1 or 0 coordinate and the crowd wisdom is placed at the appropriate point on each axis, e.g. 36 Overs vs. 17 Unders would be .68.)

Anyway, here's the result. I've included the maximum and minimum possible scores for reference. The final column displays how many of each contestant's 30 picks were with the majority side.

Star-divide

#NameDistMaj
 Minimum Possible1.9830
1Keebz2.1726
2proch2.2223
3MadJimiBrewha2.2521
4Heckman82.2622
5brewjoles2.2924
6Hyatt2.3023
7Ted Simmons Speed Camp2.3123
8stork022.3321
9Brew Believer2.3322
10ThomBerth2.3422
11Saltire2.3423
12coreyhess2.3521
13caseymqn2.3723
14Kyguy9222.3823
15kupperpooh2.3922
16SAE2.3923
17friendo2.3920
18TheJay2.4119
18jeffro530812.4117
18marty222.4121
213Sheets2TheWind2.4218
22danr4l2.4321
23DoubleJ2352.4419
24juggernaut4002.4417
25Cheeseandcorn2.4621
26Braun Holio2.4718
27infield fly2.5023
28TheBurningRom2.5022
29Dionysus02.5221
30Brew Angel2.5218
31brewcitypub2.5620
32travwood812.5621
33brewcrew492.5818
34backtocali2.6020
35steveo212.6018
36Infield Fly Rule2.6118
36ecocd2.6118
38coolig2.6421
39Oakland Brewer Fan2.6716
40postbryan2.6719
41SunglassesAtNight2.6817
41MadTownTim2.6819
43Lavender2.6919
44roguejim2.7015
45TimQMills2.7216
46CheezeconQueso2.7419
47zwief0052.7516
47spell2.7520
49NoahJ2.8415
50Zeyes2.8716
51Adam P2.8914
52Dugout Dynamo2.9316
53KLSnow3.0215
 Maximum Possible3.640

1 recs  |  Comment 8 comments

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Well, that's taking statistical analysis to a whole new level :)

Analyzing our analyzing. Good work. I wish I would have had time to guess on all of these.

The artist formerly known as jihad.

by Jordan M on Apr 11, 2009 11:18 AM CDT reply actions   0 recs

Here's what's interesting to me:

Nine of us were farther from the majority decisions than Roguejim, who picked his simply by taking the over on every question.

Of course, it’s also interesting that I was the farthest from the majority predictions.

"The reports are that he is getting better. The definition of better is nebulous."

by KLSnow on Apr 11, 2009 11:48 AM CDT reply actions   0 recs

If it's any consolation...

If he had picked all the unders he’d be the furthest out instead, beating your score by about .03. :)

Compared to the maximum and minimum RJ’s actually fairly middle of the pack (1.98-2.70-3.64), which is technically where you’d expect an all-the-same ballot to be when the majority overs and unders are split evenly as they are – 15 questions ended up majority over and the other 15 majority under. The reason his score isn’t quite in the center is that the 15 majority overs happen to be somewhat more lopsided than the 15 unders. (70% over on average vs. just 62% under on average.)

But yes, it did take quite some contrarianness on the most lopsided questions to get a worse consensus score than RJ did.

I’m tempted to find out where the average coin-flipper would place, relative to the same baseline…

by Zeyes on Apr 11, 2009 1:09 PM CDT up reply actions   0 recs

And just to answer that...

while I’d prefer to calculate it exhaustively, that’s a bit prohibitive with 2^30 different coinflip outcomes. Anyway, simming the coinflips gives an average distance of 2.93.

by Zeyes on Apr 11, 2009 5:16 PM CDT up reply actions   0 recs

okay...that's all well and good but...

how about our analysis where the overs and unders are replaced by “optimist” and “pessimist.” (for an ERA stat, an “under” is “optimistic”, whereas for batting average “over” is “optimistic”). Find out who the most optimistic and pessimistic voters are and what’s the average level of optimism out there and who differs the most from that.

you’re assuming with your fanpost above that all overs are created equally;)

by PagsBrewCrew on Apr 11, 2009 5:23 PM CDT reply actions   0 recs

Actually, you're assuming. :)

I didn’t mean to quantify how optimistic or pessimistic somebody is compared to the average opinion, just how agreeable or contrarian they are. For that, all distances were (and should be) considered equal, i.e. it doesn’t matter whether you’re optimistic on a question that got 80% pessimistic responses, or pessimistic on a question that got 80% optimistic responses.

The background to that is that being on the agreeable side tends to give you a leg up on scoring comparatively well in such contests (i.e. very likely to finish at least above the median score) and thus a somewhat better shot at actually winning, at least under the assumption that most participants know what they’re doing and the picks aren’t extremely biased by wide-eyed fan optimism.

Incidentally, it’s somewhat difficult to calculate a meaningful “average level of optimism” from those over/unders, as that’s dependent on where KL set the various mid-points (ideally all questions should have yielded a split opinion, which of course they didn’t, even though they were placed very well overall), the question of what’s considered optimistic (say, on the number of Mat Gamel’s games), and the question of how those 30 values should be weighted (e.g. the 100+ K’s are arguably much less important than the team wins).

by Zeyes on Apr 11, 2009 5:52 PM CDT up reply actions   0 recs

i also want to know

where my “non-vote” ends up;)

by PagsBrewCrew on Apr 11, 2009 6:27 PM CDT up reply actions   0 recs

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