
As the northern hemisphere passesĀ the darkest day of the year, the NBA season is maturing and the vaunted Christmas games are almost upon us. Most storylines are established and most contenders are beginning to dig in ā now itās a seeding race, though there are always a handful of surprises. For those opening this time capsule in the future, at this point in the season the Warriors and Spurs are dominating the West while people just assume the East is Clevelandās with a remarkable lack of consensus for the next best team. People donāt understand what to make of Boston, Chicagoās offense is a mess, and Indiana has shed its old identity entirely. So, as always, letās look back at the past week and make sense of a few random topics.
The Great Staggering of Durant and Westbrook
With the highly criticized Scotty Brooks gone, people had hopes that theĀ Oklahoma City Thunder would maximize their skills and improve their player management. But Billy Donovan hasnāt beenĀ an improvement, and the team has been doing one curious thing: theyāve gone with bench-heavy units for long stretches, often without Kevin Durant, Russell Westbrook, and Serge Ibaka. Through last week, Durant and Westbrook have played 636 minutes together ā yet Durant has only played 742 for the entire season.
The idea here is that teams should stagger the minutes of their stars so that one is always on the court when the game is still relevant. Presumably, this helps the team because shot creation duties wonāt be forced onto role players or leave teams vulnerable to overmatched bench units playing against starters.Ā ResearchĀ suggests there can beĀ diminishing returns toĀ high usage players playingĀ together as well.Ā Thus, OKCĀ would probablyĀ get more value if they play as many minutes as possible (while the game is still competitive of course) with at least one of Russ or KD on the court. But looking at the stats so far, OKC is doing exceedingly well when both players are on the court and itās larger than the sum of the parts (i.e. you can look at Durant and Westbrook when theyāre on their own and estimate what they āshouldā add up to together.) If you want a name for that phenomenon, I believe synergy qualifies. I even used Ibaka as a constant with years of data and found similar results.
And so begins the eternal struggle: theoretical versus empirical data. This probably deserves a column of its own because staggering is a practical problem, and there are many adjustments to make to figure out the ideal substitution patterns of these two superstars. As a final note, the Thunder staggered their two stars a lot more than usual on Monday ā and they beat the Clippers.
Four Overtime Fun
Most normal NBA fans donāt know how uncommon these four (or more) overtime games are, but they actually are quite rare. Since the lockout season in 1999, thereās been only one other game with four, and since 1964 there are only nine such games. The record is six overtimes back in 1951 between the Indianapolis Olympians and theĀ Rochester Royals, which was pre-shot clock, explaining how the final score was 75-73 even though the game lasted 78 minutes. Thankfully, this last super-long game ended with a score of 147 to 144 and featured a handful of great plays. Naturally, Jimmy Butler was involved and played 56 minutes, and heās one of only two players with a 60 minute game since 2013. Somewhere the ghost of Tom Thibodeau is laughing.
Old Bears
The Grizzlies have been hanging around the 0.500 mark in the past week, and I assume thatās far from the teamās goal for this season. They re-signed Marc Gasol and theyāve been adding small pieces to their grit-n-grind core, attempting to reclaim their defensive glory while bolstering their offense. But theyāre at a crossroads now: do they hang onto their main group and improve at the edges, hopefully adding another high quality player, or do they cash out now and rebuild for the future?
Not too long ago, the Celtics decided they had gone as far as possible with their core, and they traded their veterans, still producing, for young players, draft picks, and cap space ā even jettisoning Ā the beloved Paul Pierce, who had been a Celtic his whole career. The Nets were a team desperate for relevance quickly, and they paid a premium ā this is what Memphis should hope for. Perhaps they can trade Tony Allen, Zach Randolph, and a couple other role playing veterans for a contender needing a boost. Allen is borderline unusable against smart teams, but heās a useful situational player against star wings, while maybe another team will think Randolph can be used as a counter against the Warriors, however right or wrong that may be. Thatās the fast rebuild option because they can keep Mike Conley and Marc Gasol, but maybe it would be best to trade one or both of those two while their values are still high. The nostalgic desire to hold onto your veterans past their due date is not conducive to building a strong team for the future, however painful that process is.
The Materialization of Bobby Portis
Chicago already has a stuffed frontcourt, and they donāt need another headache in finding time for a player. But there are few complaints allowed when the 22nd pick in the draft has a good game. Bobby Portis was dubbed a jack of all trades during the draft, but a skillset of good finishing, a jumper, and solid rebounding has some utility. Against the Knicks, he recently had a good game with 20 points, 11 rebounds, and 2 steals. He has the athleticism and quickness to grab a steal and run the break to tip in a miss. He also has enough of a floor game to go from stand-still in no-manās land at aroundĀ 20Ā feet into a drive to the basket for a layup, although he looked a bit awkward.
Whatās really alluring is his range, as he nails a three-pointer here popping off from a screen. With his size and mobility, he has a chance to be a stretch 4 with plus defense and rebounding, which would solve some of Chicagoās issues with spacing while keeping their defense intact. Itās still really early in his career, and nothing definitive can be written about him yet, but heās someone to track as the season progresses.
Unappreciated Love
Kevin Love is a lightning rod for criticism due to a bit of ambient LeBron James hatred and perhaps an inability to see past his lack of size and athleticism. But if nothing else, we should treasure him for his outlet passes, which are consistently amazing. Some players will unleash a monster touchdown assist, but only rarely.Ā Itās impressive how often these are converted and not turned over. For example, in a game last week against the Magic the pass gets tipped but it still leads to a bucket. And this guy is paired with LeBron James running the break. How blessed are we?
The Somber Decline of Omer Asik
Over in New Orleans, Anthony Davis is being thwarted by his teammates once again, and itās often because of starting center Omer āstone handsā Asik. The team is on track to hit the lottery, and Asik has been an anchor for their offense: heās pulling them down, down into the abyss. He makes it tougher for Anthony Davis and others to operate in the half-court because thereās no reason to guard him unless heās standing under the rim, and even then thereās a chance heāll drop the pass, like in this play where heās wide open right under the basket and still nearly loses the ball. Heās been inept on offense, witnessed inĀ the vine below and this clip, and his defense isnāt good enough to cover up the gap. Itās no surprise there are rumors heās now on the trading block.
You would not call Omer Asik the best passing big man in the league. #Shaqtin https://t.co/wouqzXvYEj
ā John Schuhmann (@johnschuhmann) December 19, 2015
Unfortunately, this is how people think of Omer Asik now. But he used to be a really useful, underrated player. He had two great seasons as a part of Chicagoās bench mob playing suffocating defense, and the bench with Asik usually played better defense than the starters. It wasnāt a fluke either because he had one great season on defense with Houston. They were a bit above average when he was on the court, but they were awful when he was off it, and more advanced numbers verified his defensive value. But after Dwight Howard arrived and he suffered through a knee injury, he hasnāt ever been the same and heās been aging like fellow stiff Kendrick Perkins. This season has seen a precipitous decline where his rebounding and shooting stats have fallen while his turnovers balloon. His usage rate is scary low ā in the single digits āĀ so much so that heās truly a liability on offense. He shouldnāt be starting for an NBA team as long as heās playing like this, and he needs a greater mobility for defense to justify his lack of other skills.
The Role of 3PT Luck in Plus/minus Metrics
Nylon Calculus has discussed 3PT luck extensively, but at a certain point theory needs to be put into practice. Three-point percentage defense is nearly an oxymoron; the best way to defend the three is to prevent it.Ā Breaking this down mechanically, whatās happening is that players have little influence on most three-pointers because theyāre usually more open than other shots, and this is backed up by my own independent research through a couple different techniques. As a consequence, individual defenders should not be graded on how well outside shooters hit their shots. This is especially pertinent with plus/minus metrics because they rely on how teams outscore each other. But how can this be implemented?
As a first step, can 3PT luck even be detected within these metrics? With some mathematical techniques and a wealth of data, perhaps the effect is so small that itās negligible. For the best possible numbers for testing, Iām looking at the 2014/15 season because thatās the season for which thereās a full season of single-year DRPM available. Itās single-year only because other seasons would muddy the results, and Iām only looking at single season opponent 3PT%. For another baseline, Iām using DBPM via basketball-reference. Itās not perfect because it relies on the box score, but itās a different measure and it aims to replicate DRPM without using play-by-play data.
For a simple yet effective metric in 3PT% luck, I calculated the disparity between the league average 3PT% of 35 and the opponentās 3PT% while a particular player was on the court using data from stats.NBA.com. Then I multiplied it by the number of attempts and converted it to a per 48 minute scale[1. Excuse the use of a per minute stat mixed with a per possession RPM stat, but this is just a quick feasibility study.]. Positive results mean that a player is getting lucky; negative means unlucky. The results are in the plot below. Whatās fascinating is the huge domain. From direct calculations, some players are getting hit by 4 points per 48 minutes just from 3PT% volatility. Thereās also a slight positive relationship with the data, which means that players with a high DRPM are getting slightly more lucky than other players. The correlation coefficient between the two stats is 0.317.

Of course, itās not entirely all luck, and itās still a question of what exactly can be controlled, if anything. Some players may have aided in forcing the opponent into tougher shots ā one canāt tell with these results. But for an interesting test, Iāve made the same plot but with BPM instead of RPM; this is purely box score stats and not plus/minus. The relationship has virtually vanished. Thus, it suggests, there exists some 3PT% defense volatility wrapped up in play-by-play plus/minus data.

For a better illustration of the futility of 3PT% defense at an individual level, Iāve provided the best and worst performers with at least 300 opponent attempts in 2014 and 2015. If this is indeed a skill, we should see some of this carryover into an adjacent season. But this isnāt the case: the players who look great in 2015 were, as a group, around average the year before with results all over the place. The same is true of the other table.
Table: bestĀ performers 3PT% defense in 2015
Player | 2014 | 2015 |
Reggie Evans | -3.40 | 3.91 |
Nick Calathes | 0.50 | 2.96 |
O.J. Mayo | -1.84 | 2.85 |
Kendrick Perkins | 0.21 | 2.81 |
Terrence Jones | -0.98 | 2.71 |
Jerryd Bayless | 0.17 | 2.45 |
Jeremy Lamb | 0.95 | 2.42 |
Tony Snell | -0.72 | 2.28 |
Iman Shumpert | -0.25 | 2.25 |
Jae Crowder | 1.70 | 2.21 |
Table: worst performers 3PT% defense in 2015
Player | 2014 | 2015 |
Andrea Bargnani | -0.33 | -3.70 |
Jason Smith | -0.86 | -3.44 |
Amarāe Stoudemire | -1.50 | -3.30 |
Dirk Nowitzki | -0.02 | -3.17 |
Jose Calderon | -0.12 | -3.09 |
Andre Miller | 0.92 | -2.90 |
Carmelo Anthony | -0.55 | -2.87 |
Pablo Prigioni | -1.87 | -2.65 |
Ersan Ilyasova | -1.39 | -2.55 |
Carlos Boozer | -0.52 | -2.54 |
While itās apparent now 3PT% defense canāt be trusted, the fix is complicated. One canāt just delete the āexcessā three-pointers because it changes a game that has already been played. TeamsĀ play differently after made shots than missed ones, and one canāt ignore offensive rebounding, which happens about a quarter of the time after a missed three-pointer. Thereās also the same amount of this defense that does stay constant, due to, say, teams forcing tougher three-pointers, thereby lowering expected value of shots and over a long enough time frame the actual percentages, but this is likely only a small effect[1. The gap between best (so far this season Miami, contesting 67.5%) and worst (OKC at 53.6%) teams in terms of contesting three pointers is about 14 percentage points, which translates to about 2 or 3 extra uncontested shots per game depending on the number of attempts allowed. That difference inĀ turn translates into the expectation of one extra made three about every five games.]
Based on the correlation between DRPM and 3PT% luck and combined with a conservative estimate, one could say about 50% of that difference can be applied to a plus/minus metric or possibly more. But this needs further testing with years of data. Finally, hereās an example of the results below with the top players last season with an adjusted measure. The changes are modest, but notable. Khris Middleton and Jusuf Nurkic were probably being overrated, while Rudy Gobert and Tim Duncan were apparently being underrated by a fair amount.Ā Off the table, Hassan Whiteside saw his rating increase by 1.2 points, which makes more sense given his prodigious shot-blocking. The changes for a few Memphis players are sensible: Marc Gasol leaps ahead of Kosta Koufos, while Nick Calathes sees his strangely elite DRPM rating fall by 1.5 points.
Player | DRPM | adjDRPM |
Tim Duncan | 4.67 | 5.38 |
Tony Allen | 4.92 | 5.00 |
Andrew Bogut | 4.97 | 4.95 |
DeMarcus Cousins | 4.71 | 4.75 |
Draymond Green | 5.23 | 4.69 |
Kawhi Leonard | 4.59 | 4.69 |
Rudy Gobert | 3.63 | 4.06 |
Tyson Chandler | 3.54 | 4.02 |
Andre Roberson | 3.30 | 3.97 |
Anthony Davis | 4.20 | 3.90 |
Jusuf Nurkic | 4.02 | 3.77 |
Nerlens Noel | 3.35 | 3.75 |
Khris Middleton | 4.09 | 3.67 |
All hail Lord Duncan.