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Pace Adjustment
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tsherkin



Joined: 31 Jan 2005
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PostPosted: Tue Nov 09, 2010 2:25 pm    Post subject: Pace Adjustment Reply with quote

Stop me if this has been done in any great detail before, but has anyone looked at if simply adjusting for pace is actually a viable method of diminishing stats from one era to the next?

I was having a conversation with someone on RealGM and this came up.

We were discussing scoring talent between Duncan and Kareem, and the idea came up that Duncan scored at such-and-such a rate in the early 20s, he was evidencing as much or more scoring talent as Kareem did in the 70s because the difference was only pace-related.

This doesn't pass the laugh test for me. I watched Duncan and I've watched a lot of Kareem and to me, it seems qualitatively clear that Duncan had nothing like Kareem's offensive talent and putting it down to pace is a disservice to KAJ. But I'm looking for a way to back it up without resorting to the age-old "Nuh-uh!!" I know that Kareem had more range and I know that he used both sides of the paint more effectively because his left-handed hook was pretty damned good.

But the conversation took to per-possession scoring rate, which seemed to indicate that although Kareem's shot volume in, say, 76-77 (when he took 18.7 FGA/g) wasn't unreachable in the modern era (compared to someone like Al Jefferson, who managed just under 18 FGA/g over a full season but two years ago, before he was injured), that Kareem's offense was pace-inflated and he couldn't replicate it in the modern era.

What do people here think?

Qualitatively, it seems laughable. It seems sensible to suggest that, as it did in his own career, KAJ's FG% would fluctuate anywhere from the low 50s to as high as 60%, depending on the season, but would he really be incapable of replicating his scoring rate on similar efficiency now, despite facing doubles and triples all night in his own career and still getting it done?

We're not talking the scoring he managed in his first 7 seasons; he was playing 40-44 mpg in those years and it seems unlikely that he'd do that now. But in 77, he played 36.8 mpg, 18.7 FGA/g, 6.5 FTA/g and while it's true that he played at a pace of 104.7, which is much higher than most teams play at today, does that matter?

Magic's numbers didn't seem to diminish much when he went from playing at 103.7 in 83-84 (18/7/13, 62.8% TS) to 94.1 in 90-91 (19/7/12.5, 62.3% TS).

It seems more likely that the scoring depth would diminish rather than the individual, particularly since we've seen recent examples of players who could reach a similar shot volume, particularly with that kind of skill set (range, equal usage of both sides of the key, high/mid/low post skills, passing ability, etc).

So what do you guys think? Does this make sense? Can we just directly apply the pace adjustment and see what happens, is that sufficient?
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DSMok1



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PostPosted: Tue Nov 09, 2010 2:31 pm    Post subject: Reply with quote

The first way to attack it would be to look at pace, but the game was also different back then. Perhaps comparing to league average would be useful.

Hmmm... If we're actually talking effectiveness, then TS% and USG% would be the first place to go, and again compare TS% to the league as a whole.
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acollard



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PostPosted: Tue Nov 09, 2010 2:41 pm    Post subject: Reply with quote

I think pace adjustment does make sense, to some degree, because higher percentage scoring opportunities only come by so often. If the game is played at a faster pace, higher percentage scoring opportunities will occur more often.

You see this happen a lot with bigs who have a very high FG% on a low usage. The first impulse is to ask, why don't they just shoot more if they are so efficient? But often they shoot at such a high percentage because most of their shots are put-backs or dunks off of feeds from a penetrating guard. The simple fact is there are only so many chances for them to take these high percentage shots. It seems if there are 10% more possessions per game, it would follow that these high percentage chances (and other high percentages situations) would occur roughly 10% more often.

I'm not saying Kareem only scored points that way, but the number of chances he got per game in those favorable positions probably was affected by pace.
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DSMok1



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PostPosted: Tue Nov 09, 2010 2:59 pm    Post subject: Reply with quote

Thinking about it, yes, you MUST adjust for pace. If you're talking point totals, that must be done.

Consider also, though: the talent pool was different. There were fewer teams, then, so the level of competition would be higher--except the population from which the NBA players were being taken was smaller also.

As for Duncan vs. Kareem... At age 30, the first season for which we have all of their numbers, Duncan appears to have been close to Kareem's equal in the scoring department. I'd look at TS% and USG% as the primary measures.
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tsherkin



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PostPosted: Tue Nov 09, 2010 3:39 pm    Post subject: Reply with quote

The thing I'm struggling with in this specific comparison is that Kareem wasn't getting a lot of "easy" scoring chances by comparison to what he'd get today. He slowed the game down on his possessions and got a lot of half-court iso stuff with multiple defenders draped all over him and he did it at similar ranges to what guys with post skills can get today... and occasionally stepped out farther because he was a skilled high post player.

The thing that I have trouble believing is that Duncan is a comparable or better scorer than Kareem with a more limited skill set. He's a weaker FT shooter with less range and has always done a lot more work in the PnR than did Kareem. Some type of concession to pace makes sense in principle, but it doesn't strike me as completely valid when you're talking about a low-post iso player like KAJ. Duncan's a very good player, but apart from 06-07, he doesn't seem to be quite as good from an efficiency standpoint and his ORTG has tended to be lower than Kareem's as well.

Now, the usage does seem to reflect that Kareem had the ball less, but if there are more possessions overall, than Kareem using a similar number of possessions would be reflected as a lower overall usage rate, would it not? Is usage a pace-adjusted stat? Because if it's not, then the comparison along that angle kind of falls apart. It's supposed to be a percentage of team plays used while on the floor, right? So it would make sense then that it's something impacted by total plays used while that player is on the floor and thus not adjusted to account for pace.

I guess it'd be useful to do a direct comparison of possessions used per game for a more accurate picture, because if that number is similar, then the USG% is irrelevant.

Does anyone see where I'm coming from here? This is a stats forum, so it feels a little awkward but this specific comparison is bothering me because it doesn't seem to add up.
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DSMok1



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PostPosted: Tue Nov 09, 2010 3:55 pm    Post subject: Reply with quote

I disagree on the usage issue. If a player uses 20% of his team's possessions, which equals 20 possessions, that is not the same as a player using 30% of his team's possessions, which equals 20 possessions. We must evaluate each player in the context of trying to help his team win. If a player averages 1.2 PPP in each of those 2 cases, the second player helps his team significantly more. If each of those teams average 1 PPP in all other possessions, the second team would have an efficiency of 1.06 PPP while the first would have an efficiency of 1.04 PPP.

Something you are referring to in regards to PnR vs. ISO: you are implying that Duncan was "assisted" more. In that case, more of the credit for his numbers should be directed to his PGs rather than him. Unfortunately, we don't have "assisted" numbers for Kareem. I will disagree with you on your evaluation of Duncan here, though--he has had fewer of his FGs assisted than any other post player (well, close to the black hole known as Zach Randolph) in the last 5 years--hovering around or just above 50%. He's below average for the league as a whole, counting all of the guards! Of course, Kareem was probably even lower.
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Crow



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PostPosted: Tue Nov 09, 2010 4:20 pm    Post subject: Reply with quote

This old thread discussed some of the same ground

viewtopic.php?p=14969&sid=04dc243bd7c1b9b659408e8604f14ca9


The term league rating is out there, though, in the usage I am recalling, it is just league average efficiency.

Mike Goodman's comparison methods and results are worth finding and reviewing. There is some discussion and linkage in the above thread.
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tsherkin



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PostPosted: Tue Nov 09, 2010 6:07 pm    Post subject: Reply with quote

DSMok1 wrote:
I disagree on the usage issue. If a player uses 20% of his team's possessions, which equals 20 possessions, that is not the same as a player using 30% of his team's possessions, which equals 20 possessions. We must evaluate each player in the context of trying to help his team win. If a player averages 1.2 PPP in each of those 2 cases, the second player helps his team significantly more. If each of those teams average 1 PPP in all other possessions, the second team would have an efficiency of 1.06 PPP while the first would have an efficiency of 1.04 PPP.


I'm not following why those two instances are the same. If they're using the same number of possessions and receiving similar defensive attention, what's the difference, particularly if the extra possessions are a consequence of pace? When you're secondary and tertiary players are receiving more possessions as a result of the speed of the game, that's not really a reflection on the quality of a big man. Duncan doesn't get up and down the floor better than did Kareem, so it's not like he'd have done any better in that capacity at higher pace. Both players work best when the team slows up, pounds it into them in the post (or works the PnR), and what happens outside of that is mostly incidental.

Quote:
Something you are referring to in regards to PnR vs. ISO: you are implying that Duncan was "assisted" more. In that case, more of the credit for his numbers should be directed to his PGs rather than him. Unfortunately, we don't have "assisted" numbers for Kareem. I will disagree with you on your evaluation of Duncan here, though--he has had fewer of his FGs assisted than any other post player (well, close to the black hole known as Zach Randolph) in the last 5 years--hovering around or just above 50%. He's below average for the league as a whole, counting all of the guards! Of course, Kareem was probably even lower.


I'm not trying to say Duncan was a bad iso player; he still shows that he can get it done. I'm saying that his offensive involvement is more through the PnR than the low post. Almost everything San Antonio does is set up by Duncan screening high for Parker or Manu or whomever. He gets isos as well, surely, but a lot of his assists come from him working out of the PnR, for example.

That's why we're having this discussion in the first place, because the stats don't seem to square with visual or qualitative observation in a fairly significant way. We all know stats are imperfect and that context is extremely important as well as the numbers, which sometimes gets lost. But situations like this really bring it back up.
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DSMok1



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PostPosted: Tue Nov 09, 2010 7:23 pm    Post subject: Reply with quote

What I'm trying to explain is that the constant on the team is the percentage of the team's possessions. It is not the number of possessions. We should measure each player and team on a per-possession basis (that is one of the basic tenets of the APBRmetric philosophy). A player with a usage of 20% is league-average in how often he is used, no matter the pace the team plays with.

An example from now: Minnesota plays at 104 poss/game. Charlotte is playing at 90 poss/game. A player that has a 20% usage for each, and scores on exactly the same percentage of his possessions, will score more for Minnesota. That doesn't mean the player is better; in fact the player is playing exactly equally. The same case is true here, though there are other differences (opponents are not the same, league-average is not the same).
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tsherkin



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PostPosted: Tue Nov 09, 2010 7:44 pm    Post subject: Reply with quote

DSMok1 wrote:
What I'm trying to explain is that the constant on the team is the percentage of the team's possessions. It is not the number of possessions. We should measure each player and team on a per-possession basis (that is one of the basic tenets of the APBRmetric philosophy). A player with a usage of 20% is league-average in how often he is used, no matter the pace the team plays with.


I question that, though. I don't think that's an intuitive assumption when there's that vast a gulf in pace and style of play. If the team is looking to a certain player in certain spots when they're in the half-court, that's something that will translate well into a slower-paced game, as opposed to the kind of quick shots that develop out of fast-paced offense for guards and wing forwards, don't you think? It doesn't seem to follow that he'd scale back his possessions in a slower-paced game because the situations where his skills come into play would arise more frequently.

I see what you mean, but I think the usage rate isn't telling us anything meaningful in this particular case. We have two years of turnover for Kareem pre-Magic, playing at 106.1 and 105.9 possessions per game.

For those years, Kareem had a USG% of 27% and 23.3%. Same pace, wildly differing usage, played 36.5 and 39.5 mpg and took 19.4 and 16.8 FGA/g. We're looking at some basic seasonal variation here.

Now, the Duncan we're talking about is probably 01-02 Duncan, the only season in which he scored more than 23.3 ppg, though it's one of 5 consecutive seasons in which he took 17+ FGA/g, and it's the only one in which he took 18+ FGA/g. That year, the Spurs were playing at 90.0 possessions per game.

So straight pace adjustment would suggest to us that, put in the same position (and assuming an average pace of 106 from those two season), Kareem would take something like 16.5 and 14.2 FGA/g.

Does that follow?

An elite post scorer would only take that many shots per game? Less than the number of shots per game taken by Tim Duncan in the same season?

Do you see why I find pace adjustment in this instance to be a somewhat dubious proposition? Kareem is certainly not going to have his shots cut by 15% just because of the vast gulf in pace difference. Shaq, Garnett, Duncan, Al Jefferson, Dirk Nowitzki and Jermaine O'neal have all managed to get to that shooting volume this decade (17+ FGA/g) and all of them (even Dirk) spend a significant amount of time in the post... some of them even at some heavily reduced paces.

This is on account of the fact that the game plan of those teams was designed to exploit their abilities. Tim Duncan's best attributes in the Spurs offense included his passing, his screening, the fact that he COULD score in the post but was as comfortable in the high post as the low post and the fact that he could (and routinely did) face up because he had a 13-foot jumper. He's an accomplished, fundamentally skilled player with a nice, well-rounded game but he isn't as tall, nor as offensively gifted as Kareem, right? So the Spurs gamed to use him in a particular way and, after the 02-03 season, his minutes began to decline year after year. Pops knew that Duncan couldn't handle the big minutes and keep up his production, and we all saw the study about production being maintained per-minute if you scale back MPG, increasing longevity. Duncan's minutes scaled back hard after he turned 26. Kareem's scaled back after his first 7 or 8 seasons, too, but he still played in the high 30s most years, whereas Duncan's have declined to basically where Kareem was in the mid-80s. Kareem was 10 years older before his minutes declined to a similar level.

Anyway, I'm rambling, back on point.

Straight pace adjustment makes no sense here, it doesn't give a believable answer. But that's the crude form of pace adjustment, right, where you just take the multiplier you get from dividing the slower pace by the faster pace. Obviously, that doesn't work. I don't really know how to scale it more effectively, someone here certainly will, but the idea is that if you're giving them a similar number of shots and Kareem is the more skilled scorer (which he clearly was), then there is little reason to believe that Duncan would be the better scorer EXCEPT for the per-possession scoring rate that Duncan's evidenced, right? And that still doesn't seem to stand up qualitatively, because the types of shots Duncan gets aren't terrifically dissimilar to what Kareem was getting in his day with 2, 3 defenders on him a lot of the time.
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DSMok1



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PostPosted: Tue Nov 09, 2010 9:16 pm    Post subject: Reply with quote

Basically, you feel that there is a relationship between pace and usage--post players tend to take a higher proportion of shots in slow-paced games and guards and wings a higher proportion in fast-paced games. I could see that. I wonder if a study could be formulated to figure out if that's the case?

I note that there weren't any players with really high usage percentages in the 80s, compared with the 2000s. Other than Jordan, of course. See: http://www.basketball-reference.com/play-index/tiny.cgi?id=b3EMt

Quote:
Straight pace adjustment makes no sense here, it doesn't give a believable answer. But that's the crude form of pace adjustment, right, where you just take the multiplier you get from dividing the slower pace by the faster pace. Obviously, that doesn't work.


That's the wrong approach to take if you want a scientific answer! I personally think pace adjustment is the right approach here. I would take each player's TS%, the league-average TS%, and USG% and go from there.
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Mike G



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PostPosted: Wed Nov 10, 2010 7:18 am    Post subject: Reply with quote

Tim Duncan in 2002 averaged 30 points per 48 minutes, for a team that gave up 90 pts/48. So he scored 33.3% of what the rest of the league scored in games he was in.

Kareem (Alcindor) in 1971 avg'd 37.8 per48, and Mil opponents avg'd 105.7 .
He was therefore scoring 35.8% of the totals of 5-man opponent lineups.

Kareem had a better TS% in these years of comarison, especially relative to the rest of their respective leagues. Including such considerations, I rank 6 of Kareem's scoring seasons better than Duncan's best.
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DSMok1



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PostPosted: Wed Nov 10, 2010 9:03 am    Post subject: Reply with quote

Mike G wrote:
Tim Duncan in 2002 averaged 30 points per 48 minutes, for a team that gave up 90 pts/48. So he scored 33.3% of what the rest of the league scored in games he was in.

Kareem (Alcindor) in 1971 avg'd 37.8 per48, and Mil opponents avg'd 105.7 .
He was therefore scoring 35.8% of the totals of 5-man opponent lineups.

Kareem had a better TS% in these years of comarison, especially relative to the rest of their respective leagues. Including such considerations, I rank 6 of Kareem's scoring seasons better than Duncan's best.


Is including team defense the right way to go? I'm not sure of that...
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gabefarkas



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PostPosted: Wed Nov 10, 2010 10:38 am    Post subject: Reply with quote

tsherkin wrote:
The thing I'm struggling with in this specific comparison is that Kareem wasn't getting a lot of "easy" scoring chances by comparison to what he'd get today. He slowed the game down on his possessions and got a lot of half-court iso stuff with multiple defenders draped all over him and he did it at similar ranges to what guys with post skills can get today... and occasionally stepped out farther because he was a skilled high post player.
How do you know this? From game film?
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schtevie



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PostPosted: Wed Nov 10, 2010 11:32 am    Post subject: Reply with quote

If the goal is to make a meaningful comparison of two players, playing different positions, in distinctly different eras, over which time so many aspects of the game were dramatically transformed, my first and best piece of advice would be to abandon the goal.

Failing that, the best you can do is compare the players in terms of rankings within their own era, e.g. Kareem had an X%ile TS% in year Y vs. so and so for Duncan. Not as sexy a result, but at least such a comparison has some nutritional value.
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