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On Bayesian Predictive Efficiency Rankings
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DSMok1



Joined: 05 Aug 2009
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PostPosted: Tue Feb 15, 2011 5:17 pm    Post subject: On Bayesian Predictive Efficiency Rankings Reply with quote

I just put up a tremendously long post on my website discussing how to use Bayesian updating with NBA predictive efficiency ratings.

I'm sure there are some flaws (such as how to adjust for opponent), so let me know!

http://godismyjudgeok.com/DStats/2011/nba-rankings/on-bayesian-predictive-efficiency-rankings/
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back2newbelf



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PostPosted: Tue Feb 15, 2011 5:27 pm    Post subject: Reply with quote

I get an Error in query: User not signed in <a target="_blank" href="https://spreadsheets0.google.com/">Sign in</a>

and the last charts don't show up
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DSMok1



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PostPosted: Tue Feb 15, 2011 5:36 pm    Post subject: Reply with quote

back2newbelf wrote:
I get an Error in query: User not signed in <a target="_blank" href="https://spreadsheets0.google.com/">Sign in</a>

and the last charts don't show up


Try again--does it work now?
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back2newbelf



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PostPosted: Tue Feb 15, 2011 5:50 pm    Post subject: Reply with quote

Yes it works now
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Ilardi



Joined: 15 May 2008
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PostPosted: Tue Feb 15, 2011 6:38 pm    Post subject: Reply with quote

DSM -

Intriguing work, as usual.

So, I'm curious to know if your Bayesian model does a reasonable job approximating the observed distribution of actual game results? In other words, if we took a largish historical sample of n games, and for each game computed your model's predicted game outcome (based on the Bayesian efficiency differential of each team's antecedent games), would the actual observed game outcomes be distributed more or less normally, with the predicted distribution means and sd's?

Steve
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DSMok1



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PostPosted: Tue Feb 15, 2011 6:57 pm    Post subject: Reply with quote

Ilardi wrote:
DSM -

Intriguing work, as usual.

So, I'm curious to know if your Bayesian model does a reasonable job approximating the observed distribution of actual game results? In other words, if we took a largish historical sample of n games, and for each game computed your model's predicted game outcome (based on the Bayesian efficiency differential of each team's antecedent games), would the actual observed game outcomes be distributed more or less normally, with the predicted distribution means and sd's?

Steve


Sounds like another post! Very Happy
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Crow



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PostPosted: Tue Feb 15, 2011 9:07 pm    Post subject: Reply with quote

Do you want to predict the playoffs with this tool and compare to Hollinger's and the others out there?
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DSMok1



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PostPosted: Tue Feb 15, 2011 11:33 pm    Post subject: Reply with quote

Crow wrote:
Do you want to predict the playoffs with this tool and compare to Hollinger's and the others out there?


Not really. I'd prefer to predict the playoffs based on Bayesian-based ASPM.
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Jeff Fogle



Joined: 11 Jan 2011
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PostPosted: Wed Feb 16, 2011 12:44 am    Post subject: Reply with quote

Not sure if you would consider this helpful or not DSM, but I know a programmer who used Bayesian priors for all boxscore stats in a predictive format two seasons ago (and had a methodology for ranking the importance of each stat based on its relationship to winning as the season played itself out). If I recall, he was surprised to find that the most predictive hunk of games was the prior five...rather than much longer term samples. He had expected larger sample sizes to make better predictions.

Ultimately he decided the approach was still inferior to the prediction markets reflected by the Vegas pointspreads. Those have the ability to react to on the fly information like injuries, magnified fatigue spots, guys coming back from injuries, etc...

Best of luck with your efforts...
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bbstats



Joined: 25 Apr 2010
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PostPosted: Wed Feb 16, 2011 12:48 am    Post subject: Reply with quote

You had me at "bayesian."

Great stuff.
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bbstats



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PostPosted: Wed Feb 16, 2011 1:08 am    Post subject: Reply with quote

PS - Would I be correct in saying that the theory here is similar to Dean Oliver's Kalman Filter?
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EvanZ



Joined: 22 Nov 2010
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PostPosted: Wed Feb 16, 2011 6:34 am    Post subject: Reply with quote

bbstats wrote:
You had me at "bayesian."

Great stuff.


He had me at "On...". Any time you see that leading preposition, you know some mathematical wizardry is to follow.

BTW, has anyone used bootstrapping to do something similar? Or maybe that could be useful to create a prior?
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John Hollinger



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PostPosted: Wed Feb 16, 2011 10:48 am    Post subject: Reply with quote

Fascinating stuff, and interesting that it supports my notion that Philly and Memphis are both a hell of a lot better than people realize and Utah is much worse. I suspect our big difference on Dallas is due to the timing of Dirks injury since I just weight last 10 rather than using a gradual function like you did....
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DSMok1



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PostPosted: Wed Feb 16, 2011 11:23 am    Post subject: Reply with quote

John Hollinger wrote:
Fascinating stuff, and interesting that it supports my notion that Philly and Memphis are both a hell of a lot better than people realize and Utah is much worse. I suspect our big difference on Dallas is due to the timing of Dirks injury since I just weight last 10 rather than using a gradual function like you did....


When you do the time-weighting, how & when in the calculations do you adjust for opponents? In this analysis, I first ran fully adjusted team efficiency differentials (over the whole season, w/o time-weighting), and used that value to pre-adjust the game efficiency differentials, before doing the Bayesian time-weighting. How do you adjust for opponents in the "last 10" component?

I'm puzzling how to do that part of the analysis more rigorously.
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Jeff Fogle



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PostPosted: Wed Feb 16, 2011 1:12 pm    Post subject: Reply with quote

Regarding JH's notes on Philly/Memphis/Utah, confirmation from the markets...

*Philadelphia has topped expectations to the tune of 34-20-1 this season, including 29-14 the last 43 games.

*Memphis is 35-21-1, including 28-12 the last 40 games.

*Utah is 25-30-1 for the year, including 8-19 the last 27 games.

If one accepts the premise that market prices are a composite of "what people are thinking," we can probably move that from notion to confirmed fact I'd think.
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