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NBA HD: Are standing reach/wingspan overvalued?

Last week, I looked at the relationship between max vertical height and rebounding.  In the comments section, the brilliant readers offered up suggestions to expand on this topic. Let’s see what we can do.

One of the quibbles with the piece was my choice to look at max vertical height instead of say, weight or standing reach. Well, thanks to Draft Express, I can run those as well.  Keep in mind, the measurements were taken at the draft and likely have changed slightly (weight).

Let’s start from the ground up.  If we run a multivariate regression that predicts total rebound percentage in the NBA with height and weight as our predictor variables, what do we find? Those two pieces of information do a pretty good job of predicting rebounding performance– the adjusted R2 = .6584 and both factors were statistically significant at a p <.05 level).  DeJuan Blair may stand six-feet seven-inches tall but he packs about 270 pounds, so he’s a refrigerator down low.  DeMar Derozan, by comparison, is as tall as Blair but about 60 pounds lighter and grabs about a third of Blair’s share of rebounds.  On the flipside, height gives players an obvious advantage as well (R = .756).  Interestingly enough, weight had the strongest correlation of any tested variable (R = .772).

This makes sense and shouldn’t surprise anyone.  It’s tough to find a short stick grabbing boards left and right.  But what if we add another variable to the mix? Let’s replace height as a predictor variable with standing reach instead, as some have called for. The logic being, that necks don’t grab rebounds– hands do.  So, does standing reach and weight predict rebounding rates better than raw height and weight?  Turns out it doesn’t, at least not by this method.  The adjusted R2 slides down to .647 which is lower than the predictive strength of raw height and weight. The correlation between rebounding and height is .756 whereas with standing reach it is .739.

So, the next thing I wanted to do was see if wingspan is a significant predictor of rebounding once we control for height and weight.  Surprisingly, it isn’t at the p < .05 level (p=0.52) while height and weight remained significant.  The adjusted R2 was .6576 which tells us that the model’s goodness of fit didn’t improve after adding wingspan as a predictor variable.  Hmm.

I’m having some trouble explaining that finding. You’d think that wingspan would definitely help to explain a player’s rebounding in the NBA but that doesn’t seem to be the case.  Sure, it certainly helps to have longer arms but on the whole it doesn’t seem to be of great tangible benefit in rebounding.  Need examples? Javale McGee has the tallest reach of any of the 241 players in the study (he can actually come within 7 inches of touching the rim standing up) and yet he’s merely an average rebounding center. He and Chris Kaman share the same height but Kaman’s wingspan is 6 inches shorter than McGee’s.  Who’s the better rebounder?  The heavier Kaman.  You’d think McGee would put that 7’6″ wingspan to better use on the boards.

Oh, and Patrick O’Bryant.

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Perhaps players with larger wing spans are less coordinated when they stretch out to their full extension. The extra length doesn't really help them then.

If we talk about floor position, then I wonder how the team's systems would affect their rebounding rates,

For example, a center such as bonner who would usually be situated outside would probably not be in a position to go for O-rebounds a lot, in the same way that his defensive counterpart, would probably be out of position to go for the boards.

Wouldn't this be more useful if you restricted the study to, say, only centers? It seems like that would help sort out the issue that Ben noted.

McGee is only 22 years old - calling him an average rebounder at this stage is like calling Greg Oden a bust ... too early to know. Give McGee a couple more years, then we can compare apples with apples.

If you have strength data (for example, bench press data from the NBA combine), could you try that as a predictor in place of weight?

Do you have replication materials for this? (Dataset and code.)

Rebounding rate is very likely correlated to the floor position
Lets assume that where a player takes his shots is a good predictor of where he plays. So a multifactor regression using the %age of shots from 3pg, %age at rim, %age within 10 feet (whatever) and %age out to the 3pt line may be a good idea to try.

Wingspan is looked at as a defensive tool, not necesarilly as a rebounding tool. Longer arms make you a bigger defender, and make it harder for someone to dribble/pass around you. Your goal was to determine if wingspan is over rated, but I think you judged it in the wrong way.

Also, the only time wingspan really comes up is with guards, for the reasons I mentioned above, not with centers.

It'a because McGee is the laziest/dumbest player in the league. I once saw him in "warmup" before a game where he didn't take any shots...he just pretended to dunk an invisible ball and swat away his teammates shots

tell that to a 6'7" 228 lb cross dressing 7 time nba rebounding champ

I think you are looking at the wrong stats for effectiveness of wing-span. Rebounding is more about position than reach. Think of Charles Barkley - top rebounder at 6' 5" (2m).
Look at blocks and steals (but mostly blocks). A player with long arms can sneak up on a shooter.

Ben makes a very valid point - it's like factor analysis but the inverse - you know the factors but do not know the underlying 'core' variables.

Also wingspan, height & weight are probably correlated like hell so there is no surprise in wingspan not adding much (or any) power to the height/weight model

For one thing, weight correlates (probably strongly) with height.

There are lots of different ways to run these regressions. I mean, it's a good finding that standing reach is less strongly correlated than height, but it sounds like your wingspan regression was conducted with height and wingspan, rather than wingspan replacing height. Does that even matter? I don't know.

What about the difference between height and wingspan? Just a thought.

I really hope you are using REB/48 or REB/36. But of course a wide body is going to be a good rebounder; other guys can't occupy that space.

Weight as the best predictor makes sense, as it should correlate strongly with height too. I understand that body types can vary a lot, but in general weight should vary roughly with the cube of height or something like that, and the outliers on the heavy side will have an advantage in boxing out, etc. So really it's not surprising that weight is the best proxy.

To put it simply: quantify effort and you will have your missing variable.

I remember seeing Kobe in a game they lost against the Cavs being out on the wing guarded by Lebron during free throws towards the end of the game, then Kobe dove to the hoop anticipating a miss (which occurred) and grabbed the rebound where 4 other players had better position and where all taller and heavier. Luckily it didn't matter he chucked up some jumper and they lost but that sequence was impressive.

My guess is that your variables are acting as proxies for factors that you are not measuring. Specifically I would guess that height acts as a proxy for where a player spends most time on the court, ie proximity to the basket when rebounds come off the rim. If this is a large component of the predictive value of height then we may be over-estimating the beta truly associated with height/length based measures of rebounding predictors and underestimating floor position as a variable (obviously, since floor position is not included in the model).

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