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Normalizing Ortg

 
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BadgerCane



Joined: 05 Sep 2007
Posts: 5
Location: University of Miami-Florida

PostPosted: Tue Sep 18, 2007 12:58 pm    Post subject: Normalizing Ortg Reply with quote

Instead of using the multipliers for Win Shares, would there be a way to normalize Ortg to Usage? For instance, adjust everyone's Ortg up or down for if they had a Usage Rate of 18.
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94by50



Joined: 01 Jan 2006
Posts: 403
Location: Phoenix

PostPosted: Tue Sep 18, 2007 8:45 pm    Post subject: Reply with quote

I would use a standard of 20% of team possessions, according to the BoP formulas. The question is where to go from there - how much does one normalize for excess or short usage?
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BadgerCane



Joined: 05 Sep 2007
Posts: 5
Location: University of Miami-Florida

PostPosted: Tue Oct 09, 2007 8:33 am    Post subject: Reply with quote

Makes sense. It's just clearly not a linear number. 10 points at 20% does not become 20 at 40%. It becomes closer to 16. I'd just love to see a formula for getting production at one percentage to accurately project the numbers at the different percentage. I'd also imagine assists, points, and ts% change up and down at different rates.
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deepak_e



Joined: 26 Apr 2006
Posts: 325

PostPosted: Tue Oct 09, 2007 10:38 am    Post subject: Reply with quote

Didn't Dean talk about adjusting ORtg based on Poss% in BoP? I thought he did.
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kjb



Joined: 03 Jan 2005
Posts: 665
Location: Washington, DC

PostPosted: Tue Oct 09, 2007 11:06 am    Post subject: Reply with quote

Someplace on these boards, Dean posted a general rule about how much ortg changes based on usage. I can't recall what the number was, and I can never get anything out of the search function (or remember how to do it through google).
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BadgerCane



Joined: 05 Sep 2007
Posts: 5
Location: University of Miami-Florida

PostPosted: Tue Oct 09, 2007 4:34 pm    Post subject: Reply with quote

http://sonicscentral.com/apbrmetrics/viewtopic.php?t=333&highlight=ortg+usage
Found it. He writes on the third page of that thread that for each percentage point raise in usage, Ortg goes down 6. However, he also says that for low usage players, this effect can be up to twice as high. Iknow this is kiddie math compared to a lot of what goes on on this board, but it seems like a formula for Ortg at 25% Usage Percent would = Ortg-.6*(25-Usg)...How would anyone suggest adjusting for the lower percentage players?
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davis21wylie2121



Joined: 13 Oct 2005
Posts: 374
Location: Atlanta, GA

PostPosted: Tue Oct 09, 2007 4:53 pm    Post subject: Reply with quote

Funny you should ask...

In my team projections, I used this formula for "ORtg penalty/reward" ("USG" = initial usage):

Code:
=(-0.0000005711205723074*(USG^4))+(0.000094227235900401*(USG^3))+(-0.00400384128781*(USG^2))+(0.01818781961676*USG)+1.2044305949478


This ends up giving players with an initial usage of 20% a penalty of about -0.63 for a 1% increase in usage (or a reward of +0.63 for a 1% decrease). If your usage is 30%, the penalty/reward is 0.23, which why Allen Iverson couldn't get his ORtg up into the stratosphere even if he didn't take so many shots. At the other end of the spectrum, a usage of 10% will get you a penalty/reward of 1.07 pts/100 poss for every 1% increase in usage -- meaning that the proverbial "team of Hoibergs" would have some problems if forced to create their own shots.


Last edited by davis21wylie2121 on Tue Oct 09, 2007 4:55 pm; edited 1 time in total
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Ben F.



Joined: 07 Mar 2005
Posts: 290
Location: MD

PostPosted: Tue Oct 09, 2007 4:54 pm    Post subject: Reply with quote

How did you derive that formula?
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davis21wylie2121



Joined: 13 Oct 2005
Posts: 374
Location: Atlanta, GA

PostPosted: Tue Oct 09, 2007 5:01 pm    Post subject: Reply with quote

I took Dean's statement about it being 0.6 for 20% players, 0.8 for <18%, and 0.4 for >23%, and ran a regression such that the lowest-usage players (at about 10%) would experience a penalty/reward of +/- 1.0, the highest (36%) would see +/- 0.1, and everyone else would fall somewhere in between (with the slope increasing the further toward the extremes you went). It's a primitive, highly theoretical model, but I don't see any other way of modeling teammate interaction (unlike Berri, I don't believe that ignoring it and hopping for the best is an option).
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Mountain



Joined: 13 Mar 2007
Posts: 216

PostPosted: Wed Oct 10, 2007 5:23 pm    Post subject: Reply with quote

fyi, somewhat related to this topic-

study by Ken Pomeroy of year to year usage change in college

http://www.basketballprospectus.com/article.php?articleid=9

Wonder if rate of change in offensive efficiency for usage changes in college is similar to pros. Maybe that will come out later at basketballprospectus from Ken or Kevin.

Wonder if year to year change in usage rates is similar in NBA, or less?
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