Reconstructing Box Plus/Minus

Home for all your discussion of basketball statistical analysis.
Crow
Posts: 6148
Joined: Thu Apr 14, 2011 11:10 pm

Re: Reconstructing Box Plus/Minus

Post by Crow » Fri Jun 14, 2019 12:39 am

Can you give before and after example for:

one specific PG and one specific other position player of how much credit is in the end actually being given for assist behavior

one specific PG and one specific other position player with the same levels of assists

and / or for the average PG and the average for that other position?

vzografos
Posts: 23
Joined: Thu Sep 06, 2018 10:42 am

Re: Reconstructing Box Plus/Minus

Post by vzografos » Fri Jun 14, 2019 8:16 am

DSMok1 wrote:
Thu Jun 13, 2019 4:47 pm

Gradually working on this project!

Yes, the idea is to maintain the existing general concept of BPM (i.e. historic applicability, general structure) and significantly improve the handling of outliers.

Thus far I have focused on the linear version of BPM, currently called GmBPM. It should be very stable and should handle outlier numbers very well.

Then I intend to build upon that framework and add nonlinear terms as appropriate to help handle nuances while hopefully not destroying applicability to outlier values (like the existing BPM did).
Maybe you already mentioned this, but how does your new equation look like (GmBPM)?

Also, I was wondering what are you regressing on? i.e. what equation/value are you fitting to?

Italian Stallion
Posts: 33
Joined: Sat Apr 30, 2011 4:42 pm

Re: Reconstructing Box Plus/Minus

Post by Italian Stallion » Sun Jun 23, 2019 11:45 pm

I have no hard data to support this, but I've always felt that all the boxscore models overrate players that score a lot of their points off offensive rebounds (typically Cs, but some others). That combination results in both theoretical value (the offensive rebound) and actual value (the player scored) to be given to the player on what really amounts to a single possession.

When I've looked at boxscore model rankings of players like this and then looked at the evidence from on/off type data, that profile seems to be overrated by boxscore models fairly often.

Imagine, we give the ball to Lebron James in the back court, he breaks a press, drives to the hoop, and uses his strength and athleticism to score.

Imagine, player X misses a shot, Stevie Adams or Enes Kanter is standing under the basket, they get the offensive rebound and put it back in.

In both cases the team has 2 points, but most boxscore models will say that what Kanter and Adams did was worth more because they get credit for both the rebound and score. I'm calling BS on that. The accounting for possessions has some quirky problems in it and this is one example that I think it not correct.

Mike G
Posts: 4415
Joined: Fri Apr 15, 2011 12:02 am
Location: Asheville, NC

Re: Reconstructing Box Plus/Minus

Post by Mike G » Tue Jun 25, 2019 12:43 am

When your team has missed a shot, you no longer have possession. If you retrieve the O-Reb, you have regained possession. If you then score, you should get credit for both.

It's almost like a steal and score, when you neutralize the opponent's possession and also get the points. This is clearly more accomplished than just scoring when your team already has the ball.

Whether you out-rebound your opponent by leaping higher, or you wait for him to come down with the ball and strip him, it's the same result. One is an O-Reb, the other is a steal; one is considered an offensive play, the other defensive. Kind of arbitrary assigning credit to one or the other.

DSMok1
Posts: 904
Joined: Thu Apr 14, 2011 11:18 pm
Location: Maine
Contact:

Re: Reconstructing Box Plus/Minus

Post by DSMok1 » Tue Jun 25, 2019 12:28 pm

It is an interesting discussion!

Ultimately, if offensive rebounders are really not that valuable, a box score regression on a good RAPM basis should show that ORebs are not highly valuable. And to some extent that is the case--Offensive rebounds have a larger P-Value than just about every other typical box score stat. Still, they are a net positive. In my recent regressions, Offensive rebounds typically settle in at worth about 0.18 points TO THE PLAYER. Not a lot, but it is something.

For a team level, we can estimate it directly.

After a missed shot, there is about a 30% chance of an offensive rebound. Possession of the ball is worth about 1 point.

So the expected value for the offensive team is +0.3 points when the ball bounces off the rim. The offensive rebounder gets the ball, and the expected value for the team is now +1.0 points (in reality, it's probably higher than 1.0 due to likelihood of putbacks). The transition is +0.7 points. However, that should be credited half to the offense and half to the defense (in an APM context). Thus the actual value to credit to the offensive team is +0.35 or so.

Since the player-level regression produced a value of +0.18, we should just take the remaining value and credit it to the other 5 players on the court. So the offensive rebounder gets +0.18 and the other 4 players get +0.04.
Developer of Box Plus/Minus
APBRmetrics Forum Administrator
GodismyJudgeOK.com/DStats/
Twitter.com/DSMok1

Mike G
Posts: 4415
Joined: Fri Apr 15, 2011 12:02 am
Location: Asheville, NC

Re: Reconstructing Box Plus/Minus

Post by Mike G » Tue Jun 25, 2019 3:08 pm

Supposing 5 players all go the same 40 or 48 minutes and get varying number of offensive rebounds; and we credit them with the suggested values of .18 when they get the OReb, .04 when a teammate gets it -- they add up like this:

Code: Select all

pos:     C     PF     SF     SG     PG    Tot
OReb:    4      3      2      1      0     10
@0.18  0.72   0.54   0.36   0.18   0.00   1.8
@0.04  0.24   0.28   0.32   0.36   0.40   1.6
tot:   0.96   0.82   0.68   0.54   0.40   3.4
Or you could double these to get the Off+Def contributions?

DSMok1
Posts: 904
Joined: Thu Apr 14, 2011 11:18 pm
Location: Maine
Contact:

Re: Reconstructing Box Plus/Minus

Post by DSMok1 » Tue Jun 25, 2019 3:28 pm

Mike G wrote:
Tue Jun 25, 2019 3:08 pm
Supposing 5 players all go the same 40 or 48 minutes and get varying number of offensive rebounds; and we credit them with the suggested values of .18 when they get the OReb, .04 when a teammate gets it -- they add up like this:

Code: Select all

pos:     C     PF     SF     SG     PG    Tot
OReb:    4      3      2      1      0     10
@0.18  0.72   0.54   0.36   0.18   0.00   1.8
@0.04  0.24   0.28   0.32   0.36   0.40   1.6
tot:   0.96   0.82   0.68   0.54   0.40   3.4
Or you could double these to get the Off+Def contributions?
That looks right to me! The opponents get the other half of the credit.

This is actually how the Box Plus/Minus team adjustment would work when applied at the possession level.
Developer of Box Plus/Minus
APBRmetrics Forum Administrator
GodismyJudgeOK.com/DStats/
Twitter.com/DSMok1

Post Reply