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APBRmetrics The statistical revolution will not be televised.
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Harold Almonte
Joined: 04 Aug 2006 Posts: 616
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Posted: Fri Nov 23, 2007 10:15 am Post subject: |
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OK Forget it. I catched it again.
WOW did:
Scoring Eff=P - FGA
=(+P - FGMade) - FGmissed
=+FGMade weight - FGMissed
Def. EFF=oppFGA - oppP
=+oppFGMissed + (oppFGMade(tm.adjusted) - oppP)
=+DR - oppFGMade(tm. adusted) weight
My proposals still the previous:
Scoring eff.=+P - FGMade (tm. adjusted, or *0.2) - FGMissed*DBRP / % contested and heavy contested defense
Deff. eff.=+DR*0.7*DRBP + oppFGMissed(tm. adjusted, or *0.3) - oppFGMade(tm. adjusted)
This is almost PER with the points allowed punishment!
Last edited by Harold Almonte on Fri Nov 23, 2007 7:52 pm; edited 1 time in total |
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Dan Rosenbaum
Joined: 03 Jan 2005 Posts: 541 Location: Greensboro, North Carolina
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Posted: Fri Nov 23, 2007 12:40 pm Post subject: |
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I think the nomenclature of "possessions employed" and "possessions acquired" makes this more confusing than it needs to be. What we have are possessions produced when the "own team" has possession and possessions produced when the "opponents" have possession.
The problem with Wins Produced is that it assumes that possessions are produced in two completely different ways depending on whether the "own team" or "opponents" have possession. When the own team has possession, offensive rebounds are equal to a full possession, but they are worth nothing when the opponents have possession. When the opponents have possession, defensive rebounds are worth a full possession, but they are worth nothing when the own team has possession.
This just does not make sense and this theoretical flaw generates most of the bizarre results that people have been complaining about for more than a year. Assume that both the "own team" and "opponents" generate possessions using the same possession production function and most of the problems with Wins Produced go away.
My co-authors and I touch on this point in our JQAS article, although it is not the focus of the paper. |
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NickS
Joined: 30 Dec 2004 Posts: 384
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Posted: Fri Nov 23, 2007 1:07 pm Post subject: |
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Longer response later:
Quote: | When the own team has possession, offensive rebounds are equal to a full possession, but they are worth nothing when the opponents have possession. When the opponents have possession, defensive rebounds are worth a full possession, but they are worth nothing when the own team has possession. |
Dan, this seems like it points to exactly the same point that I'm making (phrased in a very different way, and looked at from a different perspective). Have you been following my argument enough to agree that this is the same issue? |
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Dan Rosenbaum
Joined: 03 Jan 2005 Posts: 541 Location: Greensboro, North Carolina
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Posted: Fri Nov 23, 2007 3:10 pm Post subject: |
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NickS wrote: | Longer response later:
Quote: | When the own team has possession, offensive rebounds are equal to a full possession, but they are worth nothing when the opponents have possession. When the opponents have possession, defensive rebounds are worth a full possession, but they are worth nothing when the own team has possession. |
Dan, this seems like it points to exactly the same point that I'm making (phrased in a very different way, and looked at from a different perspective). Have you been following my argument enough to agree that this is the same issue? |
I think it is the same issue, but I think this way of describing the issue might be easier to make sense of. The conventional nomenclature (offensive and defensive possessions) is fine when we are using box score stats to estimate possessions, but when we are talking about how possessions are produced, it does not make sense to assume that the possessions are produced in a completely different way depending on whether it is the "own team" or "opponent." |
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Conan the Librarian
Joined: 03 Sep 2007 Posts: 35
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Posted: Fri Nov 23, 2007 3:18 pm Post subject: |
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I still don't understand why it makes any sense to penalize a player for taking, and making, a field goal. |
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mateo82
Joined: 06 Aug 2005 Posts: 211
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Posted: Fri Nov 23, 2007 3:41 pm Post subject: |
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Conan the Librarian wrote: | I still don't understand why it makes any sense to penalize a player for taking, and making, a field goal. |
There isn't a penalty for taking and making a field goal. Those are two different events. Taking the field goal is a lost opportunity cost. There's your penalty. Making the field goal is a different event, it's a positive outcome.
Opportunity cost is a reality of life. Not going to the store the day after Thanksgiving means you lost the opportunity to get the "Black Friday" sales, but it doesn't mean you wasted your time. You might have been doing something more worthwhile (though in my case, browsing the internet probably doesn't apply). |
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Conan the Librarian
Joined: 03 Sep 2007 Posts: 35
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Posted: Fri Nov 23, 2007 3:52 pm Post subject: |
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How is taking a field goal a lost opportunity cost? That, or free throws, is the only positive outcome of any possession. What else could you possibly do with that possession, other than turn it over, which would be a lost opportunity cost in that you've lost the ability to take a field goal attempt.
I understand the desire to "punish" highly inefficient shooters, but you have to shoot. And since it is impossible to determine through boxscores whether any given shot is a "good" shot, I can't understand how every field goal attempt is a "punishable" action. Rather, it is the desired end result of every possession, to get a shot off, preferably a good one that goes in. |
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Harold Almonte
Joined: 04 Aug 2006 Posts: 616
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Posted: Fri Nov 23, 2007 8:37 pm Post subject: |
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Quote: | When the own team has possession, offensive rebounds are equal to a full possession, but they are worth nothing when the opponents have possession. When the opponents have possession, defensive rebounds are worth a full possession, but they are worth nothing when the own team has possession. |
Is it correct what PER does about that? Isn't underrating DR a lot?
I was thinking in something about:
DR*DRBP*VOP
OR*(1+ORBP)*VOP
That's just the credits of course, the punishments would be:
-oppOR(tm. adjusted)*(1+ORBP)
(-oppDR+ownFGMissed)(tm.adjusted)*DBRP |
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Eli W
Joined: 01 Feb 2005 Posts: 402
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mtamada
Joined: 28 Jan 2005 Posts: 377
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Posted: Wed Dec 05, 2007 2:39 am Post subject: |
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Yeah, consistency (high correlation across seasons) is nice, but only useful if the measure is valid in the first place.
Still, the higher consistency of e.g. the rebound measures probably does indicate greater validity on their part, in this case meaning less variability due to changing team contexts.
But as you point out, if an overall measure gains greater consistency simply due to putting higher weight on rebounding (WP perhaps?), then that's not really a sign of superiority. |
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Harold Almonte
Joined: 04 Aug 2006 Posts: 616
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Posted: Wed Dec 05, 2007 9:02 am Post subject: |
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That looks tricky, and probably has nothing to do with any metric. Rebounding roles are well stablished each position (depending of your skill of course). Wallace was changed to a team with more available rebounds and probably better rebounder teammates, and he kept his reb% the same. Meanwhile Iverson lost FGAs (available shots) when he was changed. Do it changing positions and scoring options!
I wonder how look the standard deviation curves of points, FGA, and rebounds for starter players, by position. |
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Guy
Joined: 02 May 2007 Posts: 128
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Posted: Wed Dec 05, 2007 10:37 am Post subject: |
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Eli: the strong YTY correlation for REB is not only a measure of context impact, or even sample size (per Tango). It is also hugely impacted by the variance among players: the larger the variance, the higher the correlation (other factors equal). And of course there is a huge REB variance, in part because of positional differences. For that reason I think your failure to make a position adjustment does matter: a lot of the strong correlation you're finding just reflects the fact that centers/forwards have far more rebounds than guards.
The larger problem, as you say, is that knowing that players are consistent in their rebound totals doesn't tell us anything about how it impacts team wins. The YTY r for player height is almost 1.0, but so what? WP assumes that each additional rebound is a net addition of 1 rebound for the team. But that's clearly not true: the correlation between the number of rebounds grabbed by a team's top rebounder and team rebounds is only about .2. Or let's look at correlation to team wins. At the player level, WP has a slightly higher correlation with REB than with TS%. But at the team level, the correlation between REB and wins -- once you control for REB opportunities -- is pretty weak, much weaker than for TS%. So we know empirically that rebounding ability is much less important for explaining team wins than shooting efficiency, yet WP values it more highly. I don't see how Berri can explain that away. (But maybe "Flint" will join us and take a stab at it.) |
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HoopStudies
Joined: 30 Dec 2004 Posts: 706 Location: Near Philadelphia, PA
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Posted: Wed Dec 05, 2007 12:41 pm Post subject: |
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I need to read this later today (gotta run now), but I scanned it. My main point was that both conditions need to be in place. If something doesn't sum to team totals, then it is, as MikeT suggests, not valid. So those metrics at the bottom of your article -- they don't sum to team wins, right? If they don't, then consistency from year to year isn't testing what I was thinking of.
If things sum to team totals year to year and are consistent for an individual from year to year, that means (I think) that you can move players around, assume that their "rating" is the same, plug it in, and you should get team wins more or less.
It seems to me like the coupled constraint is pretty solid -- and I didn't understand David Lewin's argument against it. I basically need to do the exercise myself in one of my spare moments. Those just don't happen much. _________________ Dean Oliver
Author, Basketball on Paper
The postings are my own & don't necess represent positions, strategies or opinions of employers. |
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Guy
Joined: 02 May 2007 Posts: 128
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Posted: Wed Dec 05, 2007 1:14 pm Post subject: |
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Quote: | If things sum to team totals year to year and are consistent for an individual from year to year, that means (I think) that you can move players around, assume that their "rating" is the same, plug it in, and you should get team wins more or less. |
I think that's true IF you add the condition that players are changing teams and MP a lot. Without that condition, a metric that added to team wins but did not apportion credit well w/in the team could still show a high YTY correlation at the player level, reflecting only the YTY correlation of team performance (which should be high, if players are mostly staying put). |
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Eli W
Joined: 01 Feb 2005 Posts: 402
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Posted: Wed Dec 05, 2007 3:04 pm Post subject: |
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Guy wrote: | Eli: the strong YTY correlation for REB is not only a measure of context impact, or even sample size (per Tango). It is also hugely impacted by the variance among players: the larger the variance, the higher the correlation (other factors equal). And of course there is a huge REB variance, in part because of positional differences. |
Definitely. That's something I was alluding to in my earlier post on the blog about rebounding and height. Height is 100% consistent from year to year, and it's a large factor in rebounding, so rebounding has some built-in consistency.
Guy wrote: | For that reason I think your failure to make a position adjustment does matter: a lot of the strong correlation you're finding just reflects the fact that centers/forwards have far more rebounds than guards. |
Now this I don't understand. In looking at YTY correlations I'm only comparing players to themselves one year later. If they play the same position both years, the position adjustment would be the same each year, right? So I don't see how including the Wins Produced position adjustment would change things.
Unless you're saying that I should control for position when looking at the context-dependence of rebounding vs. assisting, etc. (something I hope to do in a future post). I agree that in looking at that one should look at the role of height/position. Though in some sense even there it doesn't matter since height is not context-dependent (position kind of is). Rebounding really may be more stable in different contexts simply because a player's height is the same in all contexts. That's an important piece of information to know. _________________ Eli W. (formerly John Quincy)
CountTheBasket.com |
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