Adjusted Rebounding (with influence on teammates)

[J.E.]

After estimating effects on teammates' PPS and turnovers I now got around to do the same analysis for defensive rebounds

Similar to the turnover analysis, this gives an estimate for 'how many rebounds would this player grab with average teammates', and an estimate for 'influence on the chance that a teammate grabs a defensive rebound'

The estimates for '12-'14 (weighed for recency) are here.

Again, a guide how to interpret these numbers: A 5-man-unit has a ~70% chance of grabbing a defensive rebound (I excluded all FT rebounds), so, an average player grabs a defensive rebound 14% of the time. Really strong individual defensive rebounders, like Reggie Evans, grab up to 30. At the same time, though, Reggie Evans reduces his teammates cummulative DReb%, which would be 4*14 = 56 with an average rebounder, by 8.3 to 56 - 8.3 = 48, essentially reducing each teammates' chance of grabbing a defensive rebound by 8 / 4 = 2%. Reducing teammates' chances of grabbing a rebound is not necessarily a bad thing though - a player that grabs 100% of defensive rebounds obviously reduces the chances of all teammates to zero, but you still want him on the floor. In Evans' case, with his rebounding % at 30, 16 above the average of 14, he still helps his team since 16 > 8 (the amount he's above average exceeds the amount he hurts his teammates).

There are other cases though. Giannis The Alphabet is #19 on the 'bad influence'-list but rebounds a rather average 15%. Other such offenders include Ibaka, Jordan Hamilton, Cody Zeller, Chris Andersen.
Jason Thompson is one of the few players with an individual DReb% of >20 and an effect of teammates that's better than -1. Nene is the first on the list of good rebounders who actually helps his teammates rebounding (he was also one of the highest ranked players in this regard in a study I did for NESSIS a couple of years back).
Some of the players that are 'helping their teammates' just never rebound, some are good at boxing out and let others grab the rebound. Jason Collins is highly ranked, which is also not surprising - people always said he just boxed people out and let Jason Kidd grab all the rebounds back in New Jersey

R^2 for 'individual rebounds' and 'influence on teammates' is 0.62 (for turnovers it was 0.26)

Here's the same thing for '08-'14

[colts18]

Awesome job J.E. I must have missed it, but s there a way to calculate how many rebounds per 100 each player is worth? Am I supposed to add the individual rebounds with rebound influence on teammate to get that stat?