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Can some one explain the “possession cost” scheme?
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Flint



Joined: 25 Mar 2007
Posts: 112

PostPosted: Tue Dec 11, 2007 6:00 pm    Post subject: Reply with quote

Ok. What percentage of a players contribution does it ostensibly capture?
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asimpkins



Joined: 30 Apr 2006
Posts: 244
Location: Pleasanton, CA

PostPosted: Tue Dec 11, 2007 6:12 pm    Post subject: Reply with quote

A good question, and a complicated one.

I couldn't give a definitive answer, but for the sake of discussion I would estimate that the box score doesn't represent somewhere between 25%-50% of the important things that happen in the game.

And I know you're more comfortable attacking PER than considering flaws in WoW, but PER is based on the exact same limited information as WoW is. Whatever shortcomings the box score represents, they apply to WoW just as much.

Neither is a measure of a full contribution to winning a game. I don't think even Berri would argue with that.
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Harold Almonte



Joined: 04 Aug 2006
Posts: 616

PostPosted: Tue Dec 11, 2007 6:24 pm    Post subject: Reply with quote

And the defense rating he created to make up for the lack of information in boxscore, is so fairly distributed that doesn't give more valid information than the unadjusted +/- that some ratings use to compound with PER, or than PER counterpart.
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Flint



Joined: 25 Mar 2007
Posts: 112

PostPosted: Tue Dec 11, 2007 7:30 pm    Post subject: Reply with quote

Mike G wrote in the player losses thread that his intention was to create:

"a win-based player metric that stood up to translation from one team environment to another."

Isn't that the goal here? Isn't that what an advanced player metric should be?

And given what you have said about PER, can it really even be considered an advanced player metric in that sense? It seems like a no to me.

Maybe that shouldn't be the goal, maybe it's an impossible goal, I don't know. But I do have trouble with the fact that PER is popularly perceived to be an accurate guide to a player's full value, when in fact, as you say, it isn't even actually intended to be that.
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Harold Almonte



Joined: 04 Aug 2006
Posts: 616

PostPosted: Tue Dec 11, 2007 7:48 pm    Post subject: Reply with quote

I think nobody thinks is a full accurate guide, just that the logic is better and more acceptable, and doesn't try to overdo statistical methods like to do a team win regression to a stat whose action is shared in the game with another one that is not boxscored, that's is to overrate the stat.
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asimpkins



Joined: 30 Apr 2006
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Location: Pleasanton, CA

PostPosted: Tue Dec 11, 2007 7:53 pm    Post subject: Reply with quote

Flint. I've stated it twice already, and you don't seem to have absorbed it. Maybe you are psychologically blocking out words that offer any criticism to WoW? But I'll try one last time.

WoW is based on box scores, just as PER is. Thus, WoW offers an incomplete picture of player contributions towards wins, just as PER does. In this sense, PER and WoW are the same. WoW is as much an advanced metric as PER is. Any criticism you level at PER on this matter applies equally to WoW. It is a feature of any box score only metric.
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Harold Almonte



Joined: 04 Aug 2006
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PostPosted: Tue Dec 11, 2007 8:02 pm    Post subject: Reply with quote

Do you think that a proffessional statician who knows and applies the odds for a block to be defensive rebounded (applies to block only of course), can do the blind to the same odds between an OReb and a DReb. after a FGMissed?
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Flint



Joined: 25 Mar 2007
Posts: 112

PostPosted: Tue Dec 11, 2007 8:10 pm    Post subject: Reply with quote

Ok. Clearly this is a discussion that has happened before. I got it. What you are saying is that no method based on tracked box score stats can capture a player's full value. Only plus/minus data can do so, and only when proprietary techniques are applied.

That's fair enough, duly noted. I disagree of course.
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asimpkins



Joined: 30 Apr 2006
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Location: Pleasanton, CA

PostPosted: Tue Dec 11, 2007 8:35 pm    Post subject: Reply with quote

I haven't said anything about plus/minus or proprietary techniques??

I can only take this as another sign that you aren't actually having a conversation with me... you're just here to preach the Wages of Win?
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Flint



Joined: 25 Mar 2007
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PostPosted: Tue Dec 11, 2007 8:56 pm    Post subject: Reply with quote

You believe you cannot paint a complete picture of a player's value using box score stats tracked for teams and individuals, correct?
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Guy



Joined: 02 May 2007
Posts: 128

PostPosted: Tue Dec 11, 2007 9:57 pm    Post subject: Reply with quote

Quote:
"Jason" had what I hope is a germane comment at 1042 today in the Garnett post. From that:
"WP" doesn’t say that a 10 rebound/48 player replacing a 15 rebound/48 player will result in a net increase in 5 rebounds 48. It says that the increase or decrease in wins will be roughly equivalent to the win probability contributed by the player-assigned stats. The model does not say that any isolated components must stay constant. It is important not to confuse the two."


Yes, Jason does make this point, but it's a very strange argument indeed. The idea, I think, is that if we replaced an average F on a team with KG, the team might not gain 330 additional rebounds -- or perhaps any at all -- but would still gain the 23 wins projected by WP. So how does that work? Are the rebounds a proxy for some other important contribution not captured in the boxscore stats? Hard to see what that could possibly be -- we're talking about 4 REB a game in phantom value here. And shouldn't Berri be able to tell us what that invisible contribution is, by tracking what happens to teams that add high-WP players? If rebounds don't go up, then team defense or something else we can measure will. Surely it's not just team spirit these rebounds are indirectly measuring?

Of course, this is a very convenient argument, in that it allows Jason to dismiss any assumption of WP which is shown to be implausible (like player rebound = net team rebound): "OK, maybe Rodman didn't really add 500 new rebounds for his teams, but trust me, he still created a ton of wins." But that doesn't mean he's wrong. The only way to test this is to see how well WP predicts future wins, especially when players change teams or MP. As far as I know, only Dan Rosenbaum and Dave Lewin have done that. Their analysis shows that WP does quite a poor job of predicting future wins, somewhat worse than PER and much worse than a revised WP that uses very different coefficients for REB and FGA. So, unless someone else finds that WP does in fact predict future wins more accurately, that seems to definitively establish that WP is a less "advanced" metric than PER (which isn't to say a still better mousetrap may not be out there).

Flint, I hope you will invite Jason to come over to this board and engage the APBR community at some point. He seems like a sharp fellow, and I think he would find it more challenging -- and interesting -- than lecturing the regular flow of newbies over at Berri's site on the revealed wisdom of WOW.
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asimpkins



Joined: 30 Apr 2006
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Location: Pleasanton, CA

PostPosted: Wed Dec 12, 2007 1:03 am    Post subject: Reply with quote

Flint wrote:
You believe you cannot paint a complete picture of a player's value using box score stats tracked for teams and individuals, correct?


Yes.
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Guy



Joined: 02 May 2007
Posts: 128

PostPosted: Wed Dec 12, 2007 12:29 pm    Post subject: Reply with quote

Flint: Jason flies solo over at WOW today, with a post on the consequences of Houston losing Olajuwon for a chunk of the 1990-91 season. I think it may help clarify the discussion/debate over what Berri calls "diminishing returns," the idea that rebounds is largely -- though not entirely -- a zero-sum game. Jason believes the Olajuwon story refutes the diminishing returns idea, because the rebound rates for the 4 other starting players don't change much in his absence. But to me it's a perfect illustration of the zero-sum idea, because the team rebound rate was essentially unchanged without Olajuwon.

To be true, the zero-sum argument doesn't require that the other four starters obtain the rebounds when a star rebounder leaves the court. It simply says that the team -- including the star rebounder's replacement -- will get nearly as many rebounds no matter who is on the floor (within reason). And that's exactly what Jason's story illustrates. The fact that a 6'-8" bench player near the end of his career can replace a 7-foot all-star center, with no net loss of rebounds, is hardly a vindication of Berri's analysis -- it's more a refutation of it. According to WP, Olajuwon was creating over 4 rebounds per game above an average center, worth about 10 wins per season to his team. Thanks to Jason, we can see that wasn't really true.

Perhaps you can communicate this important clarification to Berri and Jason, so they will better understand the zero-sum argument. Even if they aren't persuaded, at least they can then engage the actual criticism being made.
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Flint



Joined: 25 Mar 2007
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PostPosted: Wed Dec 12, 2007 2:54 pm    Post subject: Reply with quote

Guy - The point of the post is that the Rockets were able to replace Olajuwon's rebounding. Larry Smith was a better rebounder than Olajuwon in his career, and in that season, even at the end of his career, he was as good in terms of rebounds per 40 and rebound rate. But Olajuwon was a much more prolific scorer than Smith. That is the major difference between them (although blocks and steals look very significant also). Ergo, how hard is it replace scoring? If you substitute a low usage player for a high usage offensive player, how hard is it to make up the scoring slack. The answer, in this case, and you would argue the point of course, is not very hard. How hard is it in general to replace scoring, as opposed to rebounding? It's an interesting debate I think, and I know where I stand at the moment.

This is argument from anecdote, which I of course love, and you could probably employ it to your advantage by finding a case that makes your argument. This one doesn't though. It's not a test of the case that if you put in an average rebounder in Olajuwon's place, you wouldn't notice the difference in the teams rebounding margin, because they didn't replace him with an average rebounder.

A better example for you might be:

Eddy Curry is a bad rebounder, perhaps the the worst rebounding starting center in NBA history. He increased his minutes dramatically last year, his rebounding numbers got significantly worse from the year before, and the Knicks still improved their defensive rebounding mark. How does this work? That seems to be the gist of what you are saying. Other players simply picked up the slack, as Q, Lee, Balkman, etc did. What does this say about Berri's view of rebounding etc etc?

I confess to being a bit puzzled by that. But what does determine a team's rebounding margin if not the proven abilities of the players on the court? It seems logical to me that the more players you have on the court with a proven ability to rebound, the better your rebounding margin will be, and the more likely you are to win. And that is the logic employed by the WOW. That may be wrong, I would be happy to see the case against that statement. It may be fairly random, or depend on coaching, or the mysterious way the players work together on the court, i don't know. But I will need a bit of persuasion. While there is significant variation in rebounding margin in the NBA, player rebounding totals seem to be quite consistent across time and teams, when adjusted for age and pace. There are differences of course, diminishing returns as Berri says, but not huge differences. Jason Kidd has always been a great rebounding point guard, probably the best ever as a pure point. Last year, he averaged 8.9 per 40, beating his career high at age 33. Clearly this has something to do with his teammates, the absence of Jefferson and Kristic. And when you consider the fact that his WP was the best in the league last year, and significantly higher than what he had posted previously in his career, you take that into account somewhat. But that doesn't change the fact that Jason Kidd is a great rebounder and had a great season last year. Is it really a coincidence that the Nets are the third best defensive rebounding team in the NBA after being the ninth best last year? What exactly does this have to do with Kidd? And how much does it affect their win total?

And why is it that Mikki Moore's rebounding average didn't skyrocket last year stepping into the same void Kidd was operating in? His rebounds were actually lower, per 40 than in the two previous seasons.
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Guy



Joined: 02 May 2007
Posts: 128

PostPosted: Wed Dec 12, 2007 4:02 pm    Post subject: Reply with quote

Flint wrote:
Larry Smith was a better rebounder than Olajuwon in his career, and in that season, even at the end of his career, he was as good in terms of rebounds per 40 and rebound rate.....It's not a test of the case that if you put in an average rebounder in Olajuwon's place

Fair enough -- it's not a perfect test. And one anecdote of course can't prove anything. But to use this as an example of how diminishing returns is mistaken is just silly. You replace Olajuwon with an old, part-time player who's 4 inches shorter, see no loss of rebounds, and conclude "see, no diminishing returns"??? And the example does illustrate nicely the relative scarcity of rebounding talent vs. scoring talent. A guy who got zero starts the year before, 7 the next season, and never drew a million dollar salary can grab rebounds as well as an All-Star center. How scarce can this rebounding "skill" be?

Quote:
Ergo, how hard is it replace scoring?....How hard is it in general to replace scoring, as opposed to rebounding? It's an interesting debate I think, and I know where I stand at the moment.

This is indeed the central question, and Jason expressed the same view today: "I suspect that replacing someone’s scoring load is generally easier than replacing someone’s rebounding load. Again, an empirical question to be addressed." I don't understand why you, Jason, and Berri treat this as some great mystery. We can answer it easily by looking at team variance. The SD for Reb% is about .014, or 1.25 Reb/Game. The SD for PPS is around .035, or approximately 2.8 points per game. (People here with large datasets should weigh in and correct me if I'm off base.) So we know that teams vary much more in their ability to score than their ability to rebound. If scoring were easy to find -- i.e. less scarce -- than teams would use those players and scoring variance would decline. Conversely, if it was hard to find good rebounders, the teams with the "best" rebounders would dominate and rebounding variance would grow. The SDs tell us exactly how scarce the talents are. I'm surprised Berri doesn't know this. The much greater variance in scoring also means that differences in scoring ability explain much more of the variance in wins -- ostensibly Berri's bottom line -- than does rebounding ability.

Quote:
But what does determine a team's rebounding margin if not the proven abilities of the players on the court? It seems logical to me that the more players you have on the court with a proven ability to rebound, the better your rebounding margin will be, and the more likely you are to win. And that is the logic employed by the WOW. That may be wrong, I would be happy to see the case against that statement.

I'm sure there is some truth to this. But what you're missing is that teams have the ability to assign the rebounding role to certain players, giving them vastly more opportunities (which are finite) than their teammates. They may be asked to do this because of their rebounding skill, because of their deficiencies in other areas, or both. And not all teams do this the same way. The result is that some players can grab a lot of rebounds without really increasing the team total. And the fact that they play this role year after year, even when switching teams, doesn't tell us anything about how valuable that role is. (I don't understand why Berri keeps pointing this consistency out. Odd.) Similarly, putting a lot of good rebounders on the floor will likely increase rebounds a little, but not much.

The question is how strong is that relationship between player and team totals? For each extra rebound recorded by a given player, how much did that add to the team total? WP assumes it's one to one. I've shown you that KG's rebounds were almost perfectly offset by the "shortcomings" of his teammates, and that Rodman's teams actually only gained a small fraction of what he appeared to deliver. But those are just anecdotes, right? So I also pointed out the large negative correlation between the top rebounder's total and total team rebounds, and that if player rebounds were truly independent, the SD for team rebounds would be about 6 times as large as it actually is. Still you say you would be "happy to see the case", so I have to ask whether you really have an open mind on this issue.
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