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eridani Donating Member (1000+ posts) Send PM | Profile | Ignore Fri Apr-04-08 05:12 AM
Original message
Chain, chain, chain (chain, chain, chain )
.......not of fools--them Markov chains, of course. And yes, this is about sports.

http://www.rdmag.com/ShowPR.aspx?PUBCODE=014&ACCT=1400000100&ISSUE=0804&RELTYPE=SOFT&PRODCODE=0000000&PRODLETT=BE&CommonCount=0

Sports professionals and fans get pretty emotional about their picks for the NCAA basketball tournament each year, and that emotion often clouds their judgment.

But three engineering professors at the Georgia Institute of Technology have created a computer ranking system, called LRMC, that consistently predicts NCAA basketball rankings more accurately than the AP poll of sportswriters and the ESPN/USA Today poll of coaches, formulas (the Ratings Percentage Index), other computer models (the Massey ratings and the Sagarin ratings), and even the tournament seeds themselves.

After correctly picking all four of this year’s finalists, the LRMC method has now identified 30 of the last 36 Final Four participants (83% accuracy over the past nine years of NCAA tournaments) as one of the top two teams in their region. Over the same nine-year stretch, the seedings and polls have correctly identified only 23, and the RPI indentified 21.

LRMC (Logistic Regression Markov Chain) is a college basketball rankings system designed to use only basic scoreboard data, including which teams played, which team had home court advantage and the margin of victory. It was originally designed by Joel Sokol and Paul Kvam and has been maintained and improved by Sokol and George Nemhauser, all three optimization and statistics professors in the Stewart School of Industrial and Systems Engineering at Georgia Tech.

“As fans, we only get to see most tournament teams two or three times at most during the season, so our gut feelings about a team are really colored by how well or poorly they played the few times we've been watching,” says Sokol. “On the other hand, our system objectively measures each team’s performance in every game it plays, and mathematically balances all of those outcomes to determine an overall ranking.”
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BlooInBloo Donating Member (1000+ posts) Send PM | Profile | Ignore Sat Apr-05-08 01:53 PM
Response to Original message
1. mmm... If I had it to do over, I woulda specialized in Markov processes...
... rather than variational methods...
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BlooInBloo Donating Member (1000+ posts) Send PM | Profile | Ignore Sat Apr-05-08 02:07 PM
Response to Reply #1
2. One clear methodological flaw in their footnote2...
"2 Conference and non-conference records and schedule strength are shown for informational purposes only. LRMC does not distinguish between a conference game and a non-conference game when calculating rankings; a tough opponent is equally hard to beat whether they're in the same conference or a different conference."

It's well-known that conference rivalries commonly render moot any differences in the quality of the teams (Pitt/WVU is the one in my head, tho there's oodles of other examplees).

I don't blame them for not accommodating this fact, it's tough to quantify; just pointing it out.
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