The Minnesota Timberwolves made seismic wavesĀ on draft night when the team traded for Jimmy Butler. Now, after signing Jeff Teague and Taj Gibson, it is becoming more and more clear thatĀ spacing may be tight with their new, rebuilt roster.
To evaluate just how much of an offensive challenge spacing will be for Minnesota next season (barring another drastic move), I put together a new metric for lineups,Ā āSpacing Ratingā and thenĀ looked at how the Timberwolves are likely to measure up next season.
Methodology
This model is more of a rough draft than a final thesis. Spacing is an abstract concept that can be difficult to fully quantify, so there are several assumptions that I have made (detailed below). I did my best in acknowledging and accounting for the factors that are key in this discussion and I hope to create an even more exhaustive model in the future.
As a dataset for comparison, I started off with every teamās two most-used lineups this past season. Then, I estimated each lineupās 3-point percentage and 3-point attempt rate.Ā To estimate 3-point percentage, I summed each playerās 3-point makes and attempts per 100 possessions to arrive at the teamās 3-point makes and attempts per 100 possessions. Then, I simply divided the 3-point makes by the 3-point attempts to arrive at the lineupās 3-point percentage.
Next, I estimated the lineupās 3-point attempt rate by summing each playerās field goal attempts per 100 possessions. I then divided the lineupās 3-point attempts per 100 possessions by the lineupās field goal attempts per 100 possessions in order to find theĀ estimated 3-point attempt rate. Obviously, this isnāt accounting for any contextual factors with the lineup, diminishing returns or the ways the players in the lineup may interact with each other on the floor. However, since the spacing effect on a defense would seem to be more about a playerās reputation than their granular 3-point rate or percentage with a specific lineup, this seems like a reasonable approximation.
I estimated 3-point percentage (instead of using the on-court numbers from this season) because 3-point percentage is a particularly noisy statistic. Some five-man lineups did not shoot enough 3-pointers to truly explain the quality of 3-point shooting personnel that was present on the court. For example, a lineup of James Harden, Eric Gordon, Trevor Ariza, Ryan Anderson and Clint Capela would theoretically boast a lot of space, but it logged a 3-point percentage of just 32.9 percent this past season. In more minutes, this lineup would almost certainly inch closer to their expected 3-point percentage of 36.7 percent.
I chose to estimate 3-point attempt rate as well because some lineups (with just 200 or 300 minutes played) did not play enough minutes to fully exhibit the lineupās offensive mindset and tendencies.
After estimating bothĀ 3-point attempt rate and 3-point percentage for each lineup, I translated these two categories into percentiles relative to all of the other lineups included in the data set.
I then averaged the two percentiles to combine the 3-point attempt rate and 3-point percentage into one inclusive number. Finally, I simply translated all of the averages into percentiles to arrive at the Spacing Rating. In simplest terms, Spacing Rating is the percentage of lineups that have less spacing than the lineup being tested.
Other factors
If you couldnāt tell from the explanation above, this is a pretty generalized estimation and there are several other contextual factors I did not include:
- A shooterās unique preferences catch-and-shoot or pull-up preferences and how those might be affected by the particular lineup
- Variations in 3-point percentage from year-to-year
- The spacing effects of mid-range shooting
- Changes in shooting openness and frequency depending on the particular lineup
- The impact of two traditional bigs on the court at the same time: With two traditional bigs on the court, opposing big men (players who are most likely to impact shots and clog the lane) are less likely to leave the paint. This could have an even bigger impact on court spacing than pairing a frontcourt non-shooter with a wing player who also struggles shooting the ball.
- Coaching strategy: For example, the Hornets love to run shooters off a variety of off-ball screensĀ to distract weakside defenders and open up the court, while the Cavaliers primarily utilize shooters in spot-up roles.
- Player awareness: It is vital for offensive players to understand where to be and when to move relative to those around them. You can see how some players facilitate even better court spacing by moving in unison with a teammateās drive in order to create better angles for a kickout pass.
- āOutside-inā gravity: When we think about spacing, we mostly consider how an outside player impacts another playerās ability to get inside. The defense is forced to stick with lethal 3-point threats on the perimeter, meaning slashers have more room to operate in getting to the bucket. Interestingly enough, the mere threat of a player shooting a 3-pointer (their 3-point attempt rate) has a higher correlation with gravityĀ than the playerās success from behind the arc (their 3-point percentage). In future models, weighting the 3-point attempt rate higher than the 3-point percentage makes sense.
- āInside-outā gravity: There is also an āinside-outā component to spacing. Players like DeAndre Jordan and Rudy Gobert are usually seen as a detriment to court spacing because of their lack of perimeter shooting, but these players can actually improveĀ spacing by attracting the defense inside and consequently opening up opportunities on the outside.
Results
Here are the lineups in the top half of Spacing Rating:

And here are the bottom half of lineups in terms of Spacing Rating:

Next yearās Minnesota team, as many would presume, did not do well in this model. A lineup consisting of Jeff Teague, Andrew Wiggins, Jimmy Butler, Gorgui Dieng (or Taj Gibson) and Karl-Anthony Towns yielded a Spacing Rating of just 13.3 percent.
Neither Dieng or Gibson are 3-point shooters. Teague, Wiggins, Butler, and Towns all averaged less than 5.0 3-point attempts per 100 possessions (meaning they were all outside the top-200 in 3-point frequency among players who played at least 500 minutes last season). League average 3-point percentage last season was 35.8, and only Towns and Butler were above that mark, slightly. Teague and Wiggins were both below it, also slightly.
Next: Nylon Calculus -- A nearest neighbor approach to 2017 NBA Draft statistical comparisons
Of course, spacing isnāt the only facet to a teamās offense, and the TimberwolvesāĀ shotmaking and primary play-making options will likely cover up a lot of their spacing concerns. However, this lack of space might ultimately limit the seemingly endless amount of potential in Minnesota.
Source: NBA.com/Stats