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Shouldn't possession usage count all potential assists?
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Ed Küpfer



Joined: 30 Dec 2004
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Location: Toronto

PostPosted: Sat Feb 05, 2005 11:41 am    Post subject: Re: Shouldn't possession usage count all potential assists? Reply with quote

Dan Rosenbaum wrote:
I think we can estimate the number of potential assists.

potential assists = assists * (0.5 * points / field goals made) / true shooting percentage

Okay. I will repeat my experiment of charting potential and converted assists. I can probably do five games over the next couple of days. We'll see how well this holds up.

I'm curious as to why a player's shooting% would have anything to do with his non-assist passes. Or did you mean team shooting%? It's a long thread -- did I miss something?
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Dan Rosenbaum



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PostPosted: Sat Feb 05, 2005 1:34 pm    Post subject: Re: Shouldn't possession usage count all potential assists? Reply with quote

Dan Rosenbaum wrote:

According to your formulas on page 345 and 346 of BoP, the assist part of a scoring possession (after factoring in rebounding) can be written as:

scoring possession assist part (after factoring in rebounds) = X * Z,

where X = 0.5 * assist * [(TMPTS-TMFTM) - (PTS-FTM)]/[2*(TMFGA-FGA)]
Z = (1-TMOR/TMScPoss) * TMOR weight * TMPlay%

On page 348 of BoP, the assist part of points produced (after factoring in rebounding) can be writen as:

points produced assist part (after factoring in rebounds) = Y * X * Z,

where X & Z are as described above
Y = 2 * 0.5 * [(TMFGM-FGM) + 0.5 * (TMFG3M-FG3M)]/(TMFGM-FGM)

Y can be simplified to 1 + 0.5 * (TMFG3M-FG3M)/(TMFGM-FGM)

Since the only difference in the assist part in points produced and scoring possessions is Y, then Y is really the factor that determines how assists are factored into the offensive rating. It is mostly just a correction for how many three pointers a team makes.
HoopStudies wrote:
Almost there, I think. So yes this is a correction to an assistant's teammates' field goal percentage by subtracting off his own ability to make shots. If a player is a better shooter, the ability of his teammates to shoot relative to him goes down and hence less weight on his assists. That sort of thing is useful to have. What you're suggesting and I'm not dismissing is adding in foul shots to this correction.

Perhaps I am misunderstanding your point, but Y is not a "correction to an assistant's teammates' field goal percentage by subtracting off his own ability to make shots." Y is a correction that accounts for teammates' made three pointers. I agree that your assist parts include corrections for an assistant's teammates' field goal percentage, but since that correction is in both the assist part in the numerator and the denominator of your offensive rating, it really doesn't have much impact on the offensive rating.

Since Y is the only thing that differs between your assist parts in the numerator and denominator of your offensive rating, it is the only thing, other than differences in possession usage due to assists, that determines how assists affect the offensive rating.

Thus, my formuation is more than just a foul shot correction. It is giving players who assist good shooting teammates a higher offensive rating. Ceteris paribus, comparing two players with the same number of assists on good shooting and bad shooting teams, the player on the good shooting team would have a higher offensive rating and lower possession usage. The player on the poor shooting team would have a lower offensive rating and higher possession usage. As far as I can tell, your formulation right now does not do that.
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Dan Rosenbaum



Joined: 03 Jan 2005
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Location: Greensboro, North Carolina

PostPosted: Sat Feb 05, 2005 1:55 pm    Post subject: Re: Shouldn't possession usage count all potential assists? Reply with quote

Ed Küpfer wrote:
Dan Rosenbaum wrote:
I think we can estimate the number of potential assists.

potential assists = assists * (0.5 * points / field goals made) / true shooting percentage

Okay. I will repeat my experiment of charting potential and converted assists. I can probably do five games over the next couple of days. We'll see how well this holds up.

I'm curious as to why a player's shooting% would have anything to do with his non-assist passes. Or did you mean team shooting%? It's a long thread -- did I miss something?

I fixed the formula in the original post. It is teammates' true shooting percentage, preferably on potential assists.

Thanks for doing this charting. I think you can ignore scoring on non-shooting fouls, technicals, etc., since I think we can figure a way to take that out of the assist formulation.

It would probably be good to have a separate category for cases where there is practically no chance for an assist, such as breakaways or close-in offensive rebounds. We probably will need to include those in the non-potential assist category for these formulas, but it would be interesting to have that information for other discussions where we try to pin down the value of an assist.
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bchaikin



Joined: 27 Jan 2005
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PostPosted: Sun Feb 06, 2005 7:23 pm    Post subject: Reply with quote

I would argue that in some sense this is already happening because not only is this theoretical point guard (Steve Nash on the '04 Bobcats) not getting the assists he would be getting by passing to better players, he's also taking some associated risk of committing turnovers by throwing these passes that tends to reduce his rating.

i'm not sure i quite understand this reference of steve nash on the bobcats, but if it refering to the assumption that if nash was on the bobcats he would be getting less assists, the assumpiton would be false. history shows a number players with high assist numbers or even high ast/min numbers on poor shooting teams...

nor do i quite understand the idea of "good" passers increasing the FG%s of the players they pass to (the assumption being they are "better" passes, i.e. they put the players receiving the passes in a better position to score) and how this relates to assists. the assumption may very well be true (i don't know), but i do know it doesn't correlate with assists...

i haven't been able to find a correlation between a player with a high number of assists and those assists leading to higher FG%s for the players receiving those passes. is there evidence of this at www.82games.com (if so this is just another example of why roland's data is so valuable)? having looked at the stats of a number of high assist PGs since 1977-78 being traded to new teams and looking at the FG% of that player's teammates before and after his arrival, i find no correlation for an increase in FG% being due to that high assist player...

right now steve nash and brevin knight are leading the league in assists per min with 0.32. no one else in the league is even close (jason williams and earl watson of the grizzlies are next best with 0.22 ast/min, along with knight's backup in charlotte jason hart). yet one PG - nash - plays for one of the best teams in the league and the other - knight - for one of the worst...

also right now the steve nash on court/off court eFG%s for the suns are .558 (1542 min) and .480 (770 min), and yes for jason kidd are .484 (1040 min) and .433 (1192 min), but for brevin knight are .448 (887 min) and .459 (1160 min). so while the data does show an increase in eFG% for "good" passers like nash and kidd, it does not for knight, who like nash is leading the league - by far - in ast/min...

one reason i believe steve nash is piling up assists at a career high rate in phoenix (and b.knight in charlotte) is the same reason andre miller did so in cleveland in 01-02. if a high touches/min PG who shoots less per touch than the average PG has starting teammates with average or below average touches/min for their positions (other than PG) but who also shoot the ball on a high 40%-50% of their touches or more will automatically get more assists, whether those teammates shoot a high FG% or not. why? because regardless of the FG%s they shoot they are still shooting alot once they receive that pass from the PG (i.e. they aren't often furthering their touch by dribbling, which usually takes away the PG's opportunity for an assist)...

once andre miller went to different teams (LAC/DEN) with frontcourt players or SGs with average or higher than average touches/min that could dribble and pass, his assists and ast/min numbers went down...

two of the best assist men in the league since 1977-78 were johnny moore and john lucas. yet both players had their highest ast/min marks on the same team - the 83-84 spurs. the reason is not because they were "better" passers that season, but it was because of the makeup of the team (the starters in particular). both mike mitchell and artis gilmore had lower touches/min than the average SF and C that season, yet each shot the ball with 50% or more of their touches. plus george gervin was taking 20 shots a game and shooting the ball with 50% of his touches...

plus the spurs that season were 6th in the league in FTM, which you would intuitively think would decrease assist opportunities. yet moore and lucas still had the highest ast/min marks in the league that season of all PGs...
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Kevin Pelton
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PostPosted: Mon Feb 07, 2005 1:46 am    Post subject: Reply with quote

What Dan is looking at provides us another way of looking at the assist success of players like Knight and Miller, in that, while they get plenty of assists per minute, their assist/assist opportunity ratio is almost certainly lower than Nash's. That's in part because their teammates' true shooting percentages are lower (dramatically so in Knight's case; not probably that huge of a difference for Miller), but it's a nice way of demonstrating the concept you're pointing out, that their assist rates are largely a product of the way their teams are put together.
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Nikos



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PostPosted: Mon Feb 07, 2005 10:28 am    Post subject: Reply with quote

admin wrote:
....... but it's a nice way of demonstrating the concept you're pointing out, that their assist rates are largely a product of the way their teams are put together.


Does that mean that assists do not mean as much from lets say the SG position?
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Kevin Pelton
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PostPosted: Mon Feb 07, 2005 10:44 am    Post subject: Reply with quote

Another topic worth discussing is whether this kind of "assist success rate" is driven solely by teammates or by player skill in passing. Bob doesn't think so, but I disagree. A good passer will put his teammates in better situations to shoot. He'll deliver the ball to them where they want to catch it, and I do think that makes a difference.
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HoopStudies



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PostPosted: Mon Feb 07, 2005 2:47 pm    Post subject: Re: Shouldn't possession usage count all potential assists? Reply with quote

Dan Rosenbaum wrote:
Thus, my formuation is more than just a foul shot correction. It is giving players who assist good shooting teammates a higher offensive rating. Ceteris paribus, comparing two players with the same number of assists on good shooting and bad shooting teams, the player on the good shooting team would have a higher offensive rating and lower possession usage. The player on the poor shooting team would have a lower offensive rating and higher possession usage. As far as I can tell, your formulation right now does not do that.


Actually my formulation does do that. There are offsetting effects that perhaps mute its impact, but the formula does do what you are saying it should. For instance, giving each of the other four starters an extra made shot in the Seattle-Charlotte game (changing efffg% from 58% to 64%) -- that on its own increases Luke's (he of 8 assists) offensive rating from 151 to 153. I checked this on season stats for a few teams, too, and saw the same thing.

The principal you mention is there in the formula, whether its strength is as large as one thinks it should be is something that can be handled through more theoretical development...
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Dan Rosenbaum



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PostPosted: Mon Feb 07, 2005 4:13 pm    Post subject: Re: Shouldn't possession usage count all potential assists? Reply with quote

HoopStudies wrote:
Dan Rosenbaum wrote:
Thus, my formuation is more than just a foul shot correction. It is giving players who assist good shooting teammates a higher offensive rating. Ceteris paribus, comparing two players with the same number of assists on good shooting and bad shooting teams, the player on the good shooting team would have a higher offensive rating and lower possession usage. The player on the poor shooting team would have a lower offensive rating and higher possession usage. As far as I can tell, your formulation right now does not do that.

Actually my formulation does do that. There are offsetting effects that perhaps mute its impact, but the formula does do what you are saying it should. For instance, giving each of the other four starters an extra made shot in the Seattle-Charlotte game (changing efffg% from 58% to 64%) -- that on its own increases Luke's (he of 8 assists) offensive rating from 151 to 153. I checked this on season stats for a few teams, too, and saw the same thing.

The principal you mention is there in the formula, whether its strength is as large as one thinks it should be is something that can be handled through more theoretical development...

It might be useful to check if the offensive rating goes up for a player with zero assists when teammates' efg% rises. There are so many places in your offensive rating formula that teammates' efg% (or fg%) enters into the equation that this may have nothing to do with the assist part. It could increase the value of the one offensive rebound that Ridnour snared.

(I apologize for not doing this myself, but I have always worked with a simplified version of your possession usage and offensive ratings, so I cannot replicate your results exactly.)

Also, note that a six point increase in efg% is not far off from the range from the worst to best team in the NBA. And, according to your calculations, this only increases the offensive rating of a guy with 8 assists in 40 minutes from 151 to 153. For all practical purposes, this indicates teammate shooting has almost no effect on your offensive rating, even for high assisters.
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HoopStudies



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PostPosted: Mon Feb 07, 2005 7:12 pm    Post subject: Re: Shouldn't possession usage count all potential assists? Reply with quote

Dan Rosenbaum wrote:

It might be useful to check if the offensive rating goes up for a player with zero assists when teammates' efg% rises. There are so many places in your offensive rating formula that teammates' efg% (or fg%) enters into the equation that this may have nothing to do with the assist part. It could increase the value of the one offensive rebound that Ridnour snared.


It depends on the guy. Some guys had small upticks, others had no impact whatsoever. Other than the guys who were given the made field goal, though, Luke had the biggest increase in net points, getting essentially 0.6 points out of the 8 added to the team.

I'm not sure if this is the comparison we want to do, though. The concept I always had in mind is whether a guy helps his teammates actually increase their odds of scoring. In this case, it's through measured assists, but, as you say, it can be through getting foul shot opportunities, something I think is potentially important and I've avoided for a while. Adding theory to handle that is more important because...

Dan Rosenbaum wrote:
Also, note that a six point increase in efg% is not far off from the range from the worst to best team in the NBA. And, according to your calculations, this only increases the offensive rating of a guy with 8 assists in 40 minutes from 151 to 153. For all practical purposes, this indicates teammate shooting has almost no effect on your offensive rating, even for high assisters.


If the team's offensive rating went up under 8%, there is absolutely no indication whatsoever that Luke had anything to do with that 8% because his assist total didn't go up, and his offensive rating goes up about 1.5%, is that "too small"? I dunno.

If it is too small, it seems like you can argue for a while. I know MikeG actually didn't like my idea of giving more credit to good assistants, suggesting that it would just come out of good assistants having higher totals. We talked about this some years back and ultimately agreed to disagree.

But the discussion on putting foul shots in never did take place and I think is more fertile ground for theory improvements. If you want to sneak in something to change what I've done on team fg%, feel free. I'm open.
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bchaikin



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PostPosted: Wed Feb 09, 2005 12:50 am    Post subject: Reply with quote

Another topic worth discussing is whether this kind of "assist success rate" is driven solely by teammates or by player skill in passing. Bob doesn't think so, but I disagree. A good passer will put his teammates in better situations to shoot. He'll deliver the ball to them where they want to catch it, and I do think that makes a difference.

it's not that i don't think so, it's just that i don't see any way to show/prove this from assist totals. the assumption may very well be valid, but at one time (a number of years ago) i was asked to see if i could show it through the stats and i couldn't. actually i was asked if i could show that a good passer does increase the FG%s of players and from the data available i could not find proof of this....

i looked at PGs that went from team to team (via trades, free agency, etc) and looked at the FG%s of the players on the team they left (before and after the PG left) and the team they went to (before and after the PG got there) but could not find any definitive evidence or pattern that any PGs could increase players' FG%s...

having said that, the data from roland's website could give us a step forward on this. since he keeps track of the % of FGM by players that are assisted on, this can help. if over a few seasons of collecting this kind of data we find that there are certain players who consistently have high percentages of being assisted on their FGMs, and two or three of these kind of players end up on the same team (via trades, free agency, etc) and the PGs assists (or ast/min) go up, that can tell us its the players receiving the passes....

if on the other hand a PG is traded or signed and a number of players on that team have their percentage of assisted FGMs increase, that would tell us its the PG....
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Dan Rosenbaum



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PostPosted: Wed Feb 09, 2005 1:15 am    Post subject: Re: Shouldn't possession usage count all potential assists? Reply with quote

HoopStudies wrote:
Dan Rosenbaum wrote:

It might be useful to check if the offensive rating goes up for a player with zero assists when teammates' efg% rises. There are so many places in your offensive rating formula that teammates' efg% (or fg%) enters into the equation that this may have nothing to do with the assist part. It could increase the value of the one offensive rebound that Ridnour snared.


It depends on the guy. Some guys had small upticks, others had no impact whatsoever. Other than the guys who were given the made field goal, though, Luke had the biggest increase in net points, getting essentially 0.6 points out of the 8 added to the team.

I still think this uptick for Ridnour was due to something other than Ridnour's assists. Among the non-starters, he was one of the leading scorers and I think may have been the leading offensive rebounder. According to your formula in BoP, the assist part of your offensive rating should have resulted in Ridnour's offensive rating going down (since the ratio of teammate made three pointers to made field goals fell). I think it was the other parts that offset that. If Ridnour had zero assists, would his offensive rating still have risen had his teammates had an extra made field goal? My guess is that there is a good chance that his offensive rating may have increased more than it did in your example.

I disagree with the claim that my formula is mostly just a free throw correction. It does do that, but I think that is a misleading interpretation of the difference between what you do and what I am suggesting. The assist part of your possession usage formula is a function of teammates' shooting, but your offensive rating is not, except through indirect, second-order effects through changes its effect on possession usage and through its effects on the teammates made three pointers relative to made field goal ratio. There are no direct effects of teammates' shooting that come through the assist part of your offensive rating formula - at least in the way it is described in BoP.
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Dan Rosenbaum



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PostPosted: Wed Feb 09, 2005 1:23 am    Post subject: Reply with quote

Bob, how come you completely ignore the charting data that Ed put together that suggested that true shooting percentages were about 10 percentage points higher on potentially assisted shots (shots that would have resulted in assists had the shot gone in) versus non-potentially assisted shots?

Now Ed is skeptical of that charting because of difficulties in charting assists and because of the possible non-representativeness of his Toronto game based sample, but still this is evidence that seems as good as about anything else that we could do. Comparisons of teams after trades is tricky because a team may have lost a scorer when adding an assister and the effects on teammates' shooting percentages may cancel each other out.

I don't think there is a lot of Roland's site to get at this question, because game logs do not measure potential assists. But someone more clever than I am may be able to come up with a way to get at this question with Roland's data.
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HoopStudies



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PostPosted: Wed Feb 09, 2005 3:11 am    Post subject: Re: Shouldn't possession usage count all potential assists? Reply with quote

Dan Rosenbaum wrote:

I disagree with the claim that my formula is mostly just a free throw correction. It does do that, but I think that is a misleading interpretation of the difference between what you do and what I am suggesting. The assist part of your possession usage formula is a function of teammates' shooting, but your offensive rating is not, except through indirect, second-order effects through changes its effect on possession usage and through its effects on the teammates made three pointers relative to made field goal ratio. There are no direct effects of teammates' shooting that come through the assist part of your offensive rating formula - at least in the way it is described in BoP.


And what I'm saying is feel free to improve upon it. I'm definitely willing to look at a proposed modification. Just probably not during the season. Sleep is already rare enough.
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