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Possession Estimators
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HoopStudies



Joined: 30 Dec 2004
Posts: 705
Location: Near Philadelphia, PA

PostPosted: Fri Aug 19, 2005 7:43 pm    Post subject: Reply with quote

Confusion over actual poss data is why I posted actual detailed possession data for Seattle in many games this past year. Those are defined exactly as I do in the book. Those are somewhere in a thread here. (I'm still in Brazil and still trying to relax, usually successfully, so I'm not looking now.)

Yeah, both methods overestimate possessions, the simple version more. Just as Bill James had many different versions of runs created, I expect many different versions of possession estimates. I use the more technical version because it's programmed into everything I use. Others use the other form and I just correct the bias approximately. Not a big deal.

The technical form did come from an analysis of actual game data and it showed a better fit, though that was several years ago with a smaller data set. With Roland, I did figure out that the missing information to really make poss estimates better is team offensive and defensive rebounds (not dead ball rebounds). In a quick cut, we got a FT multiplier of around .45, which was good because it goes with other studies. I think we used the more technical approximation (without the 1.07, which I always disliked) because it makes better use of info. But that is the study that should be done in greater detail...

All in all, though, it doesn't make a huge difference which formula you use. The errors are fairly uniform across teams/players.
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Ed Küpfer



Joined: 30 Dec 2004
Posts: 783
Location: Toronto

PostPosted: Fri Aug 19, 2005 8:41 pm    Post subject: Reply with quote

jkubatko wrote:
Here's a question: What percentage of made free throws come on the *last* free throw attempt?


FTAs in parentheses. Not all games in each season used -- 2002 sample is especially reduced. 2005 includes some playoff games, the other seasons are only reg season.

Code:
YEAR   1 of 1  1 of 2  2 of 2  1 of 3  2 of 3  3 of 3    TECH

2002    76.1%   74.9%   79.6%   78.0%   89.5%   88.1%   79.9%
       (1897)  (9595)  (9612)    (59)    (57)    (59)   (826)

2003    72.2%   72.9%   78.2%   82.6%   85.5%   86.1%   80.1%
       (3728) (19386) (19336)   (138)   (138)   (137)  (1551)

2004    71.7%   72.7%   77.1%   77.0%   87.6%   81.3%   80.6%
       (4549) (24717) (24691)   (217)   (217)   (219)  (1667)

2005    70.5%   72.7%   76.7%   76.4%   79.4%   82.9%   81.4%
       (5249) (26503) (26642)   (195)   (194)   (193)  (1706)


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Dan Rosenbaum



Joined: 03 Jan 2005
Posts: 540
Location: Greensboro, North Carolina

PostPosted: Fri Aug 19, 2005 10:44 pm    Post subject: Reply with quote

Ed Küpfer wrote:
jkubatko wrote:
Here's a question: What percentage of made free throws come on the *last* free throw attempt?


FTAs in parentheses. Not all games in each season used -- 2002 sample is especially reduced. 2005 includes some playoff games, the other seasons are only reg season.

Code:
YEAR   1 of 1  1 of 2  2 of 2  1 of 3  2 of 3  3 of 3    TECH

2002    76.1%   74.9%   79.6%   78.0%   89.5%   88.1%   79.9%
       (1897)  (9595)  (9612)    (59)    (57)    (59)   (826)

2003    72.2%   72.9%   78.2%   82.6%   85.5%   86.1%   80.1%
       (3728) (19386) (19336)   (138)   (138)   (137)  (1551)

2004    71.7%   72.7%   77.1%   77.0%   87.6%   81.3%   80.6%
       (4549) (24717) (24691)   (217)   (217)   (219)  (1667)

2005    70.5%   72.7%   76.7%   76.4%   79.4%   82.9%   81.4%
       (5249) (26503) (26642)   (195)   (194)   (193)  (1706)


Given Ed's data above (and a few corrections to equalize some of the free throw discrepancies), here is the percentage of made free throws that end a possession.

2002: 45.0%
2003: 45.5%
2004: 45.6%
2005: 45.4%

Here is the ratio of possessions to free throw attempts, which again is nice confirmation that 0.44 is the right multiplier when converting free throw attempts to possessions.

2002: 43.7%
2003: 43.9%
2004: 44.3%
2005: 44.1%
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Mike G



Joined: 14 Jan 2005
Posts: 3442
Location: Delphi, Indiana

PostPosted: Sat Aug 20, 2005 6:50 am    Post subject: Reply with quote

Ed Küpfer wrote:

Code:
YEAR   1 of 1  1 of 2  2 of 2  1 of 3  2 of 3  3 of 3    TECH

2002    76.1%   74.9%   79.6%   78.0%   89.5%   88.1%   79.9%
       (1897)  (9595)  (9612)    (59)    (57)    (59)   (826)

2003    72.2%   72.9%   78.2%   82.6%   85.5%   86.1%   80.1%
       (3728) (19386) (19336)   (138)   (138)   (137)  (1551)

2004    71.7%   72.7%   77.1%   77.0%   87.6%   81.3%   80.6%
       (4549) (24717) (24691)   (217)   (217)   (219)  (1667)

2005    70.5%   72.7%   76.7%   76.4%   79.4%   82.9%   81.4%
       (5249) (26503) (26642)   (195)   (194)   (193)  (1706)



3-point shooters are better FT shooters than and-1 scorers (unsurprisingly).

The 2nd (and 3rd) FT% are about .060 higher than 1st FT% (significant difference).

Technical FT shooters are hardly better than the average 3-pt shooter who gets fouled (surprisingly).

Great work, Ed. I assume the '1 of 1' column does not include the 'tech' numbers ?
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HoopStudies



Joined: 30 Dec 2004
Posts: 705
Location: Near Philadelphia, PA

PostPosted: Thu Aug 25, 2005 10:01 am    Post subject: Re: Possession Estimators Reply with quote

jkubatko wrote:
Kevin Broom recently e-mailed me to ask why the league efficiency on the Basketball-Reference.com team pages was 103, but the league rating on the player pages was 106. League efficiency and league rating are both estimates of points per 100 possessions. "Efficiency" is John Hollinger's term, while "rating" is Dean Oliver's term. Kevin went to 82games.com and recorded the actual possessions per game for each team over the last three years. I then computed estimated possessions using Hollinger's formula and Oliver's formula:

Code:

Hollinger = FGA + 0.44*FTA - ORB + TO
Oliver    = FGA + 0.4*FTA - (ORB/(ORB+(oppTRB-oppORB)))*(FGA-FG)*1.07 + TO


Using the data collected by Kevin, the root mean square error (rmse) of Hollinger's estimates is 3.91 possessions per game, while the rmse of Oliver's estimates is 1.49 possessions per game. It is interesting to note that Hollinger's formula always produces an overestimate of team possessions per game (errors ranging from -6.21 to -2.37, with error calculated as actual minus estimated). Oliver's formula produced an overestimate in more than 90% of all cases, with errors ranging from -3.79 to 0.31.


Note that when I use the data I recorded this year very precisely, my formula with 1.07 actually underestimates real possessions by an average of 1 per game (if I remember correctly). I did a quick check and I think I found that a multiplier of 1.03 worked best when not trying to actually use team rebound data which works a lot better.
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oprice



Joined: 25 Aug 2005
Posts: 2
Location: North Carolina

PostPosted: Thu Aug 25, 2005 1:34 pm    Post subject: Reply with quote

Does anyone here have a good possession estimator for college ball (NCAA Men's Div 1)? I believe Ken Pomeroy has suggested FGA + 0.46FTA - OREB + TO. I guess the main differences between the college and pro game (for the purpose of poss. estimating) are the 1-and-1 foul situations and the team/dead ball rebound designations. Speaking of, shouldn't the NBA suck it up and adopt the NCAA method of keeping track of team and dead ball rebounds?

And regarding the FTA coefficient, it would seem to me to be dependent upon a team's FT%, at least in college ball, as teams that shoot a higher percentage will shoot slightly more FTs per possession. So that coefficient will be inversely proportional to FT%. Has anyone put any thought into this?
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kenpom



Joined: 28 Mar 2005
Posts: 7
Location: Cheyenne, WY

PostPosted: Thu Sep 01, 2005 9:02 am    Post subject: Reply with quote

I suppose this is a good opportunity to stop lurking and contribute something. (If only there was an "ACBR" message board, I would be a regular there. Kevin?)

I looked at 30 somewhat random college games from 2005. The average FTA/poss was .474. It's a small sample, but the 95% confidence range was .463-.485.

It seems to me that a theoretical multiplier could be computed if we know how many of each type of foul occur, so I recorded the types of fouls that occurred before the bonus was in effect in those 30 games.

415 (59.7%) Non-shooting
214 (30.8%) Shooting, two-shot
59 (8.5%) And-one
6 (0.9%) Shooting, three-shot
1 Technical, two-shot

A flaw in my method was that I didn't document offensive fouls.

I was planning to start using .475 for the time being. But some of my back-of-the-envelope theoretical calculations indicate it should be .46-.47. Heck, why don't we just round up to .5 and call it good. Smile

As far as team FT% affecting the multiplier, there are only about three one-and-one situations per team per game, so I don't think it has enough of an effect for me to sweat about.

Ken
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Ed Küpfer



Joined: 30 Dec 2004
Posts: 783
Location: Toronto

PostPosted: Thu Sep 01, 2005 9:17 am    Post subject: Reply with quote

kenpom wrote:
I suppose this is a good opportunity to stop lurking and contribute something. (If only there was an "ACBR" message board, I would be a regular there. Kevin?)


I'd like to address this right here. Speaking personally, my interest here is in the analytic side of stats, and with that in mind, hoops is hoops is hoops and college ball certainly deserves a place in an analytic setting like this, along with international ball. The methods we use for pro hoops should have applications elsewhere, and if they don't, that would be interesting too. My primary interest is in pro hoops, and all the work I do involves that, but I would love to read what others are doing in other areas. I figure stats dorkdom is universal.
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HoopStudies



Joined: 30 Dec 2004
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Location: Near Philadelphia, PA

PostPosted: Thu Sep 01, 2005 3:26 pm    Post subject: Reply with quote

Ed Küpfer wrote:
kenpom wrote:
I suppose this is a good opportunity to stop lurking and contribute something. (If only there was an "ACBR" message board, I would be a regular there. Kevin?)


I'd like to address this right here. Speaking personally, my interest here is in the analytic side of stats, and with that in mind, hoops is hoops is hoops and college ball certainly deserves a place in an analytic setting like this, along with international ball. The methods we use for pro hoops should have applications elsewhere, and if they don't, that would be interesting too. My primary interest is in pro hoops, and all the work I do involves that, but I would love to read what others are doing in other areas. I figure stats dorkdom is universal.


I personally second this. I do work now on basketball from HS to college to international and the women's side. I've felt it inevitable that the APBR would become ABR, Association for Basketball Research. Which makes it abrmetrics and a lot easier to say...
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Dan Rosenbaum



Joined: 03 Jan 2005
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PostPosted: Thu Sep 01, 2005 4:03 pm    Post subject: Reply with quote

I third the motion. ABRmetrics sounds good to me. We are studying not basketball - not just professional basketball.
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Ben



Joined: 13 Jan 2005
Posts: 264
Location: Iowa City

PostPosted: Thu Sep 01, 2005 5:16 pm    Post subject: Reply with quote

I think many people in APBR were drawn to NBA not so much out of love for the NBA over college ball, but because the quality of the data is so much better in the NBA. I think you find the same thing in social science where Americans probably seem more provincial than they actually are because there is so much data available for the U.S.
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mtamada



Joined: 28 Jan 2005
Posts: 375

PostPosted: Fri Sep 02, 2005 12:29 am    Post subject: Reply with quote

HoopStudies wrote:
I've felt it inevitable that the APBR would become ABR, Association for Basketball Research.


True, although after growth, it'll have to split again, into college specialists and pro specialists.

Quote:
Which makes it abrmetrics and a lot easier to say...


The old rec.sport.basketball newsgroup called their stuff (including both the statistical and non-statistical stuff) "hoopology". I'd go for "hoopstats" personally. "Abrmetrics" is equally descriptive and sounds less flippant, but it's also to me too derivative of "sabrmetrics". Plus, there actually is no "ABR" at the moment, as far as I know.
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Kevin Pelton
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Joined: 30 Dec 2004
Posts: 969
Location: Seattle

PostPosted: Fri Sep 02, 2005 12:35 am    Post subject: Reply with quote

I think we can be inclusive of all types of basketball stats research/discussion without needing to change the name. This is a self-serving argument, because it would be a pain in the behind to change the name at this point. Razz

In addition to the many things mentioned here (and I'm a great fan of Ken's work), there is of course the WNBA, which is also professional basketball but still distinctly different. John Maxwell and I have done some WNBA work and he reminded me of my error when I intially subtitled this forum your place for NBA discussion as opposed to the all-inclusive basketball discussion.

Of course anyone who likes baseball and football can just go elsewhere as far as I'm concerned.


Last edited by Kevin Pelton on Mon Oct 24, 2005 12:46 am; edited 1 time in total
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kenpom



Joined: 28 Mar 2005
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PostPosted: Fri Sep 02, 2005 3:35 am    Post subject: Reply with quote

I didn't expect the discussion to go this way. It is nice to know some college talk is welcomed. But I'll probably continue to spend most of my time here reading - and dreaming of the day when there's an 82games.com for the college game.
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Ed Küpfer



Joined: 30 Dec 2004
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PostPosted: Fri Sep 02, 2005 11:13 am    Post subject: Reply with quote

admin wrote:
Of course anyone who likes baseball and football can just go elsewhere as far as Im' concerned.


Bah. That's too bad. I've been doing some work on predicting football outcomes using a method similar to the one I used in the Predicting the future thread. Ah well.
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