Introducing true win shares: estimating team win probability given player stats

Introduction

For years, many claimed Devin Booker puts up “empty stats.” This means his gaudy stats don’t contribute to winning. Instead, he puts up these stats due to his situation. In this case, the Suns’ lack of scoring and ball-handling puts Booker in a position to rack up stats. As soon as he got a competent coach and supporting cast, Booker started to win. With winning, this empty stats narrative faded away. What’s the difference between his stats now and then?

Not much. The main difference between Booker’s stats this year and last is efficiency. His eFG% jumped from 52.1% last year to 57.1% this year (as of December 16). Still, his counting stats stayed consistent. In fact, he’s averaging (marginally) fewer points, rebounds, and assists.

Though Booker improved since last year, his counting stats the same. Yet, he’s winning much more. The Suns sit in playoff contention despite injuries and a suspension to Deandre Ayton. Were Booker’s stats conducive to winning all along? Did he just need a good team around him to win?

Booker presents one example of this problem of how counting stats relate to wins. Naturally, better stats result in more wins because good players make good teams win. But, we have the Devin Bookers and Trae Youngs of the league racking up stats on bad teams. So, it’s hard to know how much they’re helping their team.

To combat this and give a more isolated view of player performance, we created true win shares.

Methods

In a broad sense, true win shares measures how likely a team is to win given a player’s stats.

We’ll do this by creating classification models on game logs. We collected every single box score for every player in every game since the 2014-15 season. This boundary is somewhat arbitrary. 2014-15 was the Warriors’ first championship season, which in some sense marks the start of the modern NBA. Going further back isn’t necessary; there were over 87,000 box scores from 2014-15 to 2017-18.

We collected box scores from Basketball-Reference. Each box score includes a player’s basic counting stats (points, rebounds, assists, etc.) and the result of the game (a win or a loss). We’ll train models that take these basic stats and predict the result of the game.

For the models, we chose the following stats as features.

OffenseDefenseOther
PTSSTLLocation*
ASTBLKMP
TOV
3PM
FTM

* Location = 1 if the player is at home, -1 if the player is away. We added this because generally, players play better and win more often at home. So, the location may help explain some of the variance.

With these features, we created 5 models:

  1. Logistic classifier (LOG)
  2. Linear discriminant analysis (LDA)
  3. Random forest classifier (RF)
  4. Gradient boosting classifier (GBC)
  5. Deep neural network (DNN)

We trained each model to use the above features to predict a win or a loss. Then, we looked at the prediction probability. The above models are all classifiers, meaning they predict samples to be either (1) a win or (0) a loss. But, each prediction comes with a probability, or likelihood the team will win or lose given the stat line. This probability is what we’ll look at. This gives us our “true win shares.”

The prediction probability will be between 0 and 1. 1 indicates complete certainty that the team will win given the player’s stat line. So, the best possible cumulative true win shares is 82. For this to happen, a player must play all 82 games and the models must be 100% certain he will win each game.

We’ll look at both average and cumulative true win shares for the 2018-19 season. In every game, players from both teams put up awesome stats. So, this means we’ll rarely see high win probability given a stat line. As a result, cumulative true win shares will value durability a lot.

Why true win shares isn’t perfect

Because we’re constructing true win shares based on box score stats, it won’t be perfect. The goal is to make a more accessible holistic metric, so using simple box score stats is better. But, these stats will overvalue some players (like Westbrook) and undervalue others (like good defenders).

Though predicting wins for each player stat line attempts to remove the effect of their teammates, the player’s team still matters. For example, two players can make the exact same passes, but one can rack up more assists if their team hits shots. This will give the player with the better team the better score. Still, other advanced stats suffer from this too; this is unavoidable. For example, offensive win shares considers points produced.

Points produced considers the player’s points scored and the points coming off their assists and offensive rebounds. So, this will also reward players with better teammates. Without using play-by-play lineup data, it’s almost impossible to remove the effect of a player’s team. Even with lineup data, we can’t remove the effect. So, true win shares suffers from a similar problem to most stats: it fails to fully isolate players.

Another issue with basing wins off counting stats is that weird combinations of stats that aren’t “good” often result in wins. This is because external factors affect these stats. For example, we wouldn’t say that the Warriors need Stephen Curry to get a lot of rebounds to win. Yet, in games where Curry recorded at least 9 rebounds, the Warriors are 6-1.

This doesn’t mean that if the Warriors stick Curry under the basket to grab rebounds, they’ll win 85.7% of games. It means that the other team was having a bad shooting night that game. If Curry – who’s not a great rebounder – racked up rebounds, the opponent probably missed a lot of shots. This gives Curry the opportunities to get rebounds.

We can find several other examples of this, but the point stands. Using counting stats will sometimes create weird results.

Model analysis

In the past, we’ve created classification models on imbalanced data sets. This means that most of the data was one class. So, measuring correct predictions wasn’t meaningful. In this case, we have a balanced data set.

We’re predicting a win or loss from a data set of every player’s stats in every game. So, our class proportions are almost equal, as each game has a winner and a loser. This means that accuracy (which measures correct predictions) is an important metric for our model’s performance.

As a preliminary view of performance, we’ll look at each model’s confusion matrix. This measures the number of correct and incorrect predictions of each type. So, for example, a predicted 1 and actual 0 is a false positive; the model predicted a win, but the game was a loss.

The graphs below show each model’s confusion matrix.

We see that all the models are generally accurate; there are more correct predictions than incorrect. This is indicative of good performance here. But, this helps us visualize performance – it’s not a concrete metric.

For metrics of performance, besides accuracy, we’ll use the usual performance estimators. These are recall, precision, F1, log loss, and area under the ROC curve. For our imbalanced data sets, we cared a lot about recall and precision, which measure the ability to accurately find the positive class. With a balanced data set, no single metric is particularly important.

Here’s what all these metrics measure:

  • Accuracy: total correct predictions
  • Recall: how many of the positive class samples (1, a win) are returned out of all samples with the positive class
  • Precision: how many of the samples that we predicted are positive are actually positive
  • F1: a way to combine recall and precision (lets us compare two models if one has higher recall but lower precision)
  • Log loss: like accuracy, but for prediction probabilities
  • Area under the ROC curve (AUCROC): measures how well our models separate between the two classes

For each model, we’ll compare these metrics to the performance of the dummy classifier. The dummy classifier randomly assigns each sample to a class. It bases the assignment on the distribution of the training data. Because our training data has 49.8% 1s (samples where the team won), the dummy classifier will randomly predict 49.8% of the test set to win. Comparing our models to this shows us how much better they are than random.

The table below shows each model’s performance in the above metrics. The best possible value for accuracy, recall, precision, F1, and area under the ROC curve is 1 (and higher is better). Meanwhile, the best possible log loss if 0 (so lower is better).

ModelAccuracyRecallPrecisionF1Log lossAUCROC
LOG0.5960.5860.6010.5940.6680.628
LDA0.5960.5850.6020.5930.6680.628
RF0.5930.6060.5950.60.6680.627
GBC0.5970.6030.60.6010.6660.631
DNN0.5970.5810.6040.5920.6670.631
Dummy0.4970.4910.5010.49617.3730.497

Note that the log loss of the dummy classifier is meaningless. Log loss uses prediction probabilities, which the dummy doesn’t use. Instead, the dummy always has prediction probability 1 or 0.

The table below shows each model’s improvement over random.

ModelAccuracyRecallPrecisionF1AUCROC
LOG19.92%19.35%19.96%19.76%26.36%
LDA19.92%19.14%20.16%19.56%26.36%
RF19.32%23.42%18.76%20.97%26.16%
GBC20.12%22.81%19.76%21.17%26.96%
DNN20.12%18.33%20.56%19.35%26.96%

Each model has a large improvement over random of about 20% in each metric. So, the models are predictive of winning games.

As one final check, we’ll discuss overfitting. Overfitting occurs when the models “learn” the given data too well. So, they’ll have high performance on the specific data, but won’t predict new data well.

One way we avoid overfitting is by grid search. Each model has hyperparameters – things that determine how the model fits the data (like a slope in linear regression). We created a grid of possible hyperparameters for each model to search. We created a model with each possible combination of elements in the grid. Then, we chose the hyperparameters that resulted in the best accuracy when tested across different splits of the data. We performed grid search on a random 10% subset of our data. Grid search on our full data set would be slow because of its size.

Along with grid search, we’ll look at the cross-validated scores for accuracy and recall. We did k-fold cross-validation with k = 3, meaning we split the data into 3 bins. With these 3 bins, we used 1 as the testing set and the other 2 as training sets. Then, we did this cycle for every possible combination of the bins. The cross-validated scores are the average scores across each split of the bins.

As long as our cross-validated scores are close to our real scores, we’re likely not overfitting. The table below shows the cross-validated scores and confidence intervals.

ModelCV Accuracy95% CICV Recall95% CI
LOG0.596+/- 0.0080.602+/- 0.002
LDA0.597+/- 0.0070.602+/- 0.003
RF0.591+/- 0.0090.628+/- 0.003
GBC0.594+/- 0.0080.625+/- 0.006
DNN0.595+/- 0.0040.603+/- 0.006

Each model’s CV scores are either barely lower or higher than their actual scores. So, we can say with confidence that our models are likely not overfitting.

Altogether, these performance metrics indicate our models are strong. Now that we’re done analyzing the models, let’s see what they say.

Results

To calculate true win shares for the 2018-19 season, we collected game logs for every player. We limited our data set to those who played at least half the season (41 games). We gave our models this data to predict the win probability. True win shares is the average of the prediction probabilities from the 5 models.

We’ll look at true win shares in two ways. First, we’ll look at cumulative true win shares. Durability plays a big role in cumulative true win shares, as most top players earn a similar number of true win shares per game. So, the cumulative leaders will consist of good players who also played lots of games.

Along with cumulative leaders, we’ll look at the average leaders. This is the average of the player’s true win shares in all their games. So, durability won’t play a role here.

We can think of both types of true win shares as calculating wins in a basketball vacuum. The models predict wins using individual stat lines. So, they’re saying “ignoring teammates and opponents, this player should win this many games.” Cumulative true win shares estimates how many games you’d expect to win given that player’s season in a vacuum. Average true win shares estimates the win percentage you’d expect given that player’s stats.

The table below shows each player’s average true win shares. The true win shares is in the “avg” (average) column. You can sort the table and search for any player.

rankplayeravglogldarfgbcdnn
1James Harden0.6798263850.6910179850.6864994130.6544075190.6632058820.704001125
2Russell Westbrook0.6660860840.6673534880.6635173220.6310432290.6574182740.711098105
3Giannis Antetokounmpo0.6470059080.642270220.6392736550.6308300610.6625005830.66015502
4Stephen Curry0.644746640.6553999590.6517176570.6238216120.6293898930.66340408
5LeBron James0.6404803610.6448832460.6414399190.6108364130.6314427690.67379946
6Anthony Davis0.636347840.6647882760.6619378860.5855505810.6066188340.662843623
7Nikola Jokic0.6324924550.6286316950.625781150.6198236340.6363378750.651887924
8Kyrie Irving0.6254983720.6294048770.6263171330.6112102410.61821380.642345809
9Joel Embiid0.6202027910.625425930.6229758820.6079139920.6145878660.630110287
10Paul George0.6086433780.6315560060.6283183450.5725400710.5859757880.624826679
11Damian Lillard0.6068483550.6083418810.6050655540.5997650760.6006464730.620422792
12D'Angelo Russell0.6067308220.606248810.6034231250.5957518860.6062949130.621935374
13Nikola Vucevic0.6034359920.614666520.6125817950.5812052980.5939245350.614801813
14Karl-Anthony Towns0.6003030250.6120918930.6097371170.5793660780.5862026670.61411737
15Kevin Durant0.5982481770.5930290770.5905689180.5995977790.5952325960.612812515
16Kemba Walker0.5956313030.6017633640.5988538170.5856863960.5813064340.610546502
17Kawhi Leonard0.5955447550.5927910880.5908047650.5977388250.5954103430.600978754
18Chris Paul0.5911383720.5996118420.5964943490.5752650770.5914194070.592901184
19Luka Doncic0.5893074720.5864449780.5836785330.5892310540.5962240470.590958749
20Mike Conley0.5882033780.5887457170.5862018420.5826704770.5905475720.59285128
21Kyle Lowry0.580986070.5936865090.5907997010.5602905230.5747469930.585406624
22Eric Bledsoe0.5689519830.5676653690.5657854770.5652954580.5754319560.570581658
23Jrue Holiday0.5674956090.5774824720.5747230420.5504608450.5534396090.581372075
24Blake Griffin0.5666815910.5688363550.5663930720.5620998010.5596459660.576432762
25Bradley Beal0.5628164390.5754588960.5729978440.5413270580.5438417590.580456637
26Jusuf Nurkic0.5625414870.5627631470.5614641950.5516968810.565490230.571292984
27Ben Simmons0.560270270.5519059450.5500271790.5658460660.5638539660.569718192
28De'Aaron Fox0.5601431460.5611295570.5589843840.5651052690.5579229540.557573567
29Lou Williams0.5599097460.5555144570.5535082090.5559298640.5680373780.56655882
30Trae Young0.5598655660.5602090620.5576653460.5581342850.5610023060.562316829
31Danilo Gallinari0.5584859350.5568976730.5551283110.5589105690.5658409680.555652151
32Al Horford0.5584806920.5628435190.5613539790.5448392540.5593769610.563989749
33Rudy Gobert0.5583686420.5661033010.5649055140.5473467780.5534388290.560048785
34Hassan Whiteside0.5574156020.5718818990.5711582470.5384772160.552654690.552905958
35Myles Turner0.552131840.5592726080.5583423780.5420630240.545884250.555096938
36Marc Gasol0.5515368420.5569050030.5552463660.5383137280.5439251180.563293996
37Khris Middleton0.5502993490.5524671150.5506256830.5435538020.5553545690.549495574
38Buddy Hield0.5499805670.551051060.5492853030.5510130760.5488629890.549690408
39Jeff Teague0.5469825890.5546398530.5530232520.5470518980.5466813070.533516637
40Draymond Green0.5466438330.5432012630.5415744030.5336109440.5523227130.56250984
41Devin Booker0.5451643830.5378218170.5353660410.5605296660.538448850.55365554
42Nikola Mirotic0.5442420080.5474588140.5456178280.5427646380.5442944720.541074288
43Mitchell Robinson0.5440155450.5531247230.5527623960.5349745260.5326112180.546604861
44Elfrid Payton0.543413040.5465147420.5449324190.5355403860.5397232210.550354432
45Andre Drummond0.5427027090.5620160780.5609597390.5214925150.5258878590.543157353
46Brook Lopez0.5421317870.545863770.5446666250.5341232140.5425408930.543464432
47Donovan Mitchell0.540671030.5380362060.536187680.549596110.5378889750.541646177
48Jonas Valanciunas0.5391736880.547133380.5463142160.5324339720.5309163520.539070518
49Terrence Ross0.5384939720.5349975030.5337917360.5453212460.5425226230.535836753
50Larry Nance0.5383587760.5442223620.54350030.5236311690.5361990810.544240968
51Klay Thompson0.5378371970.5367972540.5354810470.5407934420.5344944450.541619798
52Shabazz Napier0.5377005390.5427847030.5418083150.5283090680.5388149680.536785639
53Kyle O'Quinn0.5370064460.5416350470.5413645680.5215102650.5332857870.547236563
54Dewayne Dedmon0.5347991290.5420982340.541207450.5237344640.5327531790.534202317
55Joakim Noah0.5347062730.5459671840.5455439510.5132108460.5232544740.545554909
56Julius Randle0.5332516320.5297668930.5285089750.5371095620.5334873690.537385361
57Ekpe Udoh0.5329727630.5368301590.5365674650.5185432560.5304744110.542448521
58DeMar DeRozan0.5328877280.5201719360.5188485220.5519374170.5391307730.534349994
59Jimmy Butler0.5322749050.5314114290.5298028530.5342982920.530600980.535260973
60Derrick Rose0.5319925610.5328749260.5317682110.5260100120.5309537790.538355877
61Jamal Murray0.5318723210.5350818590.5335574070.5278333790.5262700690.536618888
62Luke Kornet0.5312859630.5422455440.5412540290.5102139030.5205649860.54215135
63Darren Collison0.5305877890.5346327350.5330461920.5287864680.5306761870.525797363
64Derrick Favors0.5305618770.5352531840.5347435640.5223952770.5316539750.528763384
65Terry Rozier0.5305431060.5311498770.5300082720.523141710.5375732040.530842467
66John Collins0.5297800050.5345711090.5338886530.5249194830.5234599580.532060819
67Tony Parker0.529676630.5301977260.5300457910.5204293150.5345511690.533159148
68Nemanja Bjelica0.5289906080.5348328070.5340370550.5170691580.5258363090.533177714
69Rajon Rondo0.5283242160.5372534560.5353291440.5043706280.5196267130.545041138
70JaVale McGee0.5280993870.5347950190.5344793410.5231762660.5206359490.527410358
71Montrezl Harrell0.5271700740.525250.5246528090.5289565280.5312358080.525755224
72Bogdan Bogdanovic0.5266859590.5295295630.5282347350.5231739310.5288986490.523592916
73Mo Bamba0.5263981490.5362272050.5359776890.5114981840.5176174960.530670173
74Lonzo Ball0.5253070020.5306823670.5292727560.5079779190.525712970.532889001
75Lauri Markkanen0.5246333990.5321379340.5307516410.5166566590.521076010.52254475
76Dwyane Wade0.5246014050.5252750310.523962190.5216720110.529204680.522893113
77LaMarcus Aldridge0.524441460.5207795820.5200873420.5285599850.5260920750.526688314
78Jeremy Lamb0.5242393950.5258126310.5248621660.5218862720.525218540.523417366
79Fred VanVleet0.5235086770.5258944580.5243351150.5227352610.5254062290.519172322
80Joe Ingles0.5230202360.5282357890.5264886750.5152735470.5206777450.524425423
81Boban Marjanovic0.5228137680.5343250720.5339012350.498865580.5102637740.53671318
82Kyle Korver0.5226004540.5180203840.5175523840.5245061480.5321436810.520779674
83Reggie Jackson0.5225443630.5240542870.5225970720.5226229210.5248705470.518576989
84Bobby Portis0.5218610850.5246853970.5236383440.5179316190.5220844150.520965649
85Vince Carter0.5216213150.524523350.52382290.5145645970.5203940510.524801678
86Georges Niang0.5214544380.5301155970.5300085960.5036330190.5125281340.530986843
87Paul Millsap0.5212326550.5230702380.5223625840.5173422130.5238508860.519537356
88Domantas Sabonis0.5209815250.5270992670.5262255550.5035577060.5181089120.529916188
89Mason Plumlee0.5208981320.5278312320.5271158250.5053968920.5179079910.526238717
90Alex Len0.5206216870.5274369770.5267734840.5088268310.5177086990.522362442
91Ricky Rubio0.5206053570.5246839460.5230129940.5159534380.5214987670.51787764
92Patrick Beverley0.5200735050.5182114430.5171379670.5159132270.5256033620.523501527
93Gordon Hayward0.5200645220.5183382640.5176135650.5202096140.5267128720.517448292
94Monte Morris0.5199910910.5227149110.5218090630.5166185250.5199871890.518825766
95Thomas Bryant0.5199780280.5307117680.5301701770.5043694060.5098342380.52480455
96Pat Connaughton0.5198192050.5209272990.5203268870.5118707410.5250319840.520939112
97Otto Porter0.5193762520.5242870860.5233096790.5117951420.5139712120.52351814
98Justin Anderson0.5189547460.5230293310.5230102970.5084981570.5171742420.523061704
99Trey Burke0.518930880.5213236270.5204464320.5127705880.5189570930.521156659
100Rudy Gay0.5185029540.5252448460.5243559890.5044211670.517510440.520982331
101Clint Capela0.5184071140.5193987750.5189379850.5173494830.5230267360.51332259
102Quinn Cook0.5183380940.5219914840.5214020430.5064985450.5151823580.526616038
103Davis Bertans0.5182798350.5166797540.5159538750.5179946070.5204922960.520278645
104Nerlens Noel0.5180221230.5369517870.5366615390.4922268660.4963572070.527913217
105CJ McCollum0.5175836530.5147582720.5135774610.5251141570.5170884310.517379942
106Jonas Jerebko0.517353660.5236384870.5232544930.5030427330.514468790.522363798
107Omari Spellman0.5173503720.5226867770.5224991340.5043214640.5138487850.523395699
108Aaron Holiday0.5172931130.5237387420.523122330.5043508940.5161530050.519100592
109Serge Ibaka0.5172876860.5207420760.520162760.5135000790.51771720.514316316
110Daniel Theis0.5170116670.5254213440.5250679520.5009212370.5093649040.524282898
111Patty Mills0.5165182390.514784340.513738810.5147131370.5292522970.510102608
112Spencer Dinwiddie0.5165162420.5153485640.5137832710.5177193490.5219739130.513756114
113Kent Bazemore0.5163330610.5184036570.5177162780.5112856750.517512860.516746836
114J.J. Redick0.5160180180.5145554520.5131846920.5265755820.5174172770.508357084
115Frank Kaminsky0.5159750890.5241738530.5234362810.4991808780.5110547770.522029654
116Malcolm Brogdon0.5157864530.51860020.5175088230.510817330.5156626540.516343258
117Matthew Dellavedova0.5156197910.5210271920.5203861030.5051532550.52292210.508610305
118Maxi Kleber0.515332120.5177681430.5175716380.5092792850.5155820540.516459482
119Gorgui Dieng0.5151478990.5321812950.5318008610.4877865220.4967184140.527252401
120T.J. Leaf0.5147115050.5233195880.5233540370.5005280510.5044602430.521895607
121Jae Crowder0.5143412020.5110487160.5101610320.520125480.5176197850.512750998
122Lance Stephenson0.5142900380.5190707530.5183801570.5038992880.5131828360.516917158
123Willie Cauley-Stein0.5142194870.5205842380.5200806050.5032666590.5123148970.514851036
124Tobias Harris0.5141798160.5163867510.5151413480.5149949080.5095947070.514781365
125Richaun Holmes0.5137690030.5234279350.5230597010.50110650.5042835780.516967302
126Sindarius Thornwell0.5137221490.5082541720.5083424570.5131253690.5166422450.522246504
127Meyers Leonard0.5133546240.5233944290.5230236350.4947151910.5049781520.520661715
128Marcus Smart0.5133030310.5140167510.5129853750.5083781380.5216892270.509445664
129De'Anthony Melton0.5132445050.5157749110.5154284640.504905240.5171036880.513010222
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131Andre Iguodala0.5131584860.5121535350.5115281370.5081479540.5207766220.51318618
132Thon Maker0.5130403790.5200141130.5198263520.5026053570.5064009470.516355123
133Delon Wright0.5129584210.5209066750.5200707210.4982439340.5078172930.517753482
134Tim Frazier0.5128814370.5191579720.5184135790.4999812880.5132062990.513648044
135Kenrich Williams0.5127840260.5063840720.5062893830.5128798850.520049890.518316903
136Marvin Williams0.5127475280.5085721430.5080737840.5167941160.51420870.516088899
137Dirk Nowitzki0.5124758580.5232089350.5226507390.4934676090.5012783450.521773661
138Aaron Gordon0.5121580980.5137114720.5126382330.5125856930.5056634010.516191689
139Gary Clark0.5121431320.5144223830.5142886620.501092420.5117998560.519112338
140Derrick White0.5117280370.5157512480.5150346270.5039152570.5137648590.510174194
141Zach LaVine0.5115890610.5060489940.5045079380.5248894470.5124903440.510008584
142D.J. Augustin0.5115718720.5159353860.5145475050.507208350.5138694810.50629864
143Quincy Pondexter0.5115447830.5086575370.5084997760.5091797060.5114903920.519896504
144Danny Green0.5109657580.5055284940.5047189030.5164832370.5131594280.514938729
145Taurean Waller-Prince0.5108647770.5096078890.5091891850.5196848130.5121602690.503681728
146Timothe Luwawu-Cabbarot0.5107538940.5052941260.5055258760.5153893840.5148650110.512695075
147Troy Brown0.510531480.5175219720.5174732210.4966949330.5031923970.517774879
148Cheick Diallo0.5104777670.517566980.5175436520.4970722120.5029504180.517255573
149Justise Winslow0.5098896350.5101411810.5090250570.5071030430.5142982220.508880674
150Dion Waiters0.5097916530.5096252540.5084929780.5104994420.5116063340.508734257
151Jamal Crawford0.5097621840.5145406770.5138403550.5039166840.5132553550.50325785
152Gerald Green0.5096221040.507906510.5074026840.5100388520.510807620.511954854
153Furkan Korkmaz0.5095724310.5178130590.51740360.4941658640.50127250.517207134
154Dwight Powell0.5089924660.513276510.5127741490.5014195570.5065144350.510977678
155Ish Smith0.5079056750.5115400290.5110162940.5008739610.5078094830.508288606
156Josh Richardson0.5078863260.5159405810.5147280510.5026477430.4996393430.506475912
157Jayson Tatum0.5074787060.5063863170.5056491590.5121945220.5121560060.501007528
158Pascal Siakam0.5072720910.5080918540.5073132920.5088921570.5060424560.506020697
159Amir Johnson0.5072637120.5179547880.517731380.4866964540.4941044210.519831518
160C.J. Miles0.5070798710.5064968290.506390880.5038101290.5088264830.509875034
161Ivica Zubac0.5069033630.514303650.5140199510.494802180.4986143270.512776706
162Iman Shumpert0.5067462920.5015378110.5014052720.5087824370.5140489580.507956984
163Wayne Ellington0.5067339560.5011470570.5002509920.5126788680.5099069140.509685948
164Yogi Ferrell0.5065748380.5149093910.5144871910.4910964660.499856330.512524812
165DeAndre Jordan0.5065424210.5095497970.5090955960.4989355420.5043482530.510782915
166Jordan Clarkson0.5063503960.5046625880.5038742750.5114529690.506840130.504922021
167Jakob Poeltl0.5061270710.518071660.5178353090.4886974880.4934189280.512611972
168Jarrett Allen0.5059438540.5083093190.5080026370.5058891030.5060063240.501511889
169Jordan Bell0.5058184370.5126859260.5125584830.4902932750.4967107520.516843747
170Cody Zeller0.5058177350.5079971180.5079807550.4986549720.5059270770.508528755
171Marcus Morris0.5057888610.5062852630.5054871550.508176970.5071440510.501850864
172Sam Dekker0.505584720.5112814110.5116811020.4962920790.497247280.51142173
173Willy Hernangomez0.5054985870.5197555210.5191692670.4784060710.4960655130.514096561
174Malik Monk0.5047624120.5094686950.508702340.4953904680.503114810.507135747
175Malik Beasley0.504676260.5033346280.502766830.506605950.5033562430.507317648
176D.J. Wilson0.5046695270.506313530.5059940720.4955454650.5082990890.507195481
177Jahlil Okafor0.5043456480.506047090.5060154710.4993937750.5004698070.509802099
178Kris Dunn0.5042346360.5066159530.5052790610.5016201130.5092523140.498405741
179JaMychal Green0.5042270630.5075888440.5071445590.4995906280.508981150.497830135
180Kelly Olynyk0.5041310430.5053158720.504603050.4973171840.5102225270.503196582
181Stanley Johnson0.5041104260.5044686010.5044782660.5026539520.5027908260.506160483
182Deandre Ayton0.5038679320.5039916110.5037764010.5037393580.5055470930.502285198
183Sterling Brown0.503695290.5046136590.5046070310.4986747890.5024004690.508180503
184Aron Baynes0.5036163730.5109299240.510691850.4900072460.4995744520.506878393
185Bam Adebayo0.5036089570.5079521760.5075271270.4942232670.5002074580.508134756
186Dennis Schroeder0.5031079870.5009378570.4999492290.5131498460.5079810650.493521937
187Kevon Looney0.5029735660.5101758630.5100021280.4899999090.4965352730.508154656
188Landry Shamet0.5026137690.4968545650.4964159370.5121539270.506557370.501087049
189Trey Lyles0.5023631970.5098680910.5093623480.4912301140.4946038630.50675157
190Devin Harris0.5021992280.5101222250.5097108620.4869124850.5001602990.504090266
191Eric Gordon0.5021269970.4944037190.4935555140.5209583940.5033222510.498395107
192Norman Powell0.5020478610.5033037710.503089240.5010736520.5032849960.499487646
193Abdel Nader0.5014734350.5025773840.5027392240.4950832220.4980388650.508928481
194Marvin Bagley0.5014310190.5051390890.5047104150.4991792850.5016541170.496472188
195Tyler Johnson0.5011042390.5001108280.4993715430.5055742010.5054446590.495019963
196Harry Giles0.5009940810.5091599550.5089836420.4854447480.4903692980.511012759
197Marquese Chriss0.5009149870.5095424030.509622250.4873777850.489096680.508935817
198Ian Clark0.5008615160.5011468690.5010019690.4989871310.5014657680.501705841
199Ed Davis0.5006240560.516466270.5162701150.4788926350.4909789320.500512329
200Jonathan Isaac0.5005809180.4980437620.4977601840.5065547360.5043065060.496239404
201Jonah Bolden0.5004789180.5056940140.504874880.486515260.4965254660.508784969
202Jerian Grant0.5004475190.5053550940.504698960.4864333390.5042584270.501491774
203Markieff Morris0.5001564510.5027868020.5022852560.4959418310.4986250260.501143341
204Mike Scott0.4993485830.5020416260.5018803980.4931260430.4966263130.503068534
205Rondae Hollis-Jefferson0.4993015160.5047484970.5048002190.4905176780.4946717690.501769418
206Chasson Randle0.4990891490.5073695730.5070687010.4898917630.4938293480.497286358
207Tyreke Evans0.4990652440.50522770.5045557370.4890587820.4972556030.499228397
208Cory Joseph0.4988879270.4955237320.4949703790.4984708060.5096744350.495800281
209T.J. Warren0.4987482720.4963546630.4957475830.5017460850.5053665970.494526433
210Trevor Ariza0.4984511450.5001678980.499118060.4968566480.492731150.503381968
211Troy Daniels0.4983393850.5003454040.4999944930.4889470050.4961399950.506270028
212T.J. McConnell0.4978474620.5032094970.5028479290.4891049630.4958159120.498259011
213Dennis Smith0.4975522820.4967126450.4958767150.5068333980.500213210.488125445
214Mike Muscala0.4975210250.4990279490.498459070.4911810480.4987116730.500225384
215Miles Bridges0.497363640.4999187130.4998109360.4916433540.4964244820.499020714
216Kentavious Caldwell-Pope0.4972434160.4950973640.4946202940.5016604460.4988640580.495974918
217Will Barton0.4971783540.4953444880.4946829210.4971539510.5047992680.493911141
218Ersan İlyasova0.4970780730.4993973640.4992608560.4901873920.4981286060.49841615
219Wendell Carter0.4968218980.4950817830.4947884930.4990805280.501741130.493417557
220Anthony Tolliver0.4967209820.4950269890.4948339510.4954634460.5015090870.496771436
221Zach Collins0.4960728990.5012139520.5011454850.4858447460.493779860.498380452
222Tomas Satoransky0.4960625610.5043365370.5034427110.4878016160.4903796710.49435227
223Kelly Oubre0.4958547510.4959823070.4951829380.4998682890.497955010.49028521
224Jaren Jackson0.4952106550.4956951720.4954010010.4987656880.495583070.490608342
225Luke Kennard0.4950196230.4931764570.4926323920.4976035110.4979947640.493690991
226Greg Monroe0.4947133340.5028599720.5026222450.483108170.4821258540.502850427
227Evan Turner0.4946332510.4937321640.4934140110.4912523380.4976437360.497124008
228Dario Saric0.4946298980.495041950.4946417260.4945145690.4978878590.491063384
229Marco Belinelli0.4945509090.4936383950.4930666220.4982970610.4980949990.48965747
230Noah Vonleh0.4937859650.4949887870.4943885810.4902381220.4930100050.496304329
231Jaylen Brown0.4934507940.4909220830.4906800990.5011023960.4956995840.48884981
232Zaza Pachulia0.4934474750.5040789720.5039370.4742948510.4846062360.500320315
233Nik Stauskas0.493307910.4991607470.4990123710.4815062660.4891879410.497672226
234Khem Birch0.4932493180.506522670.5060881120.4765397050.4773857720.499710332
235Tim Hardaway0.4928336010.490228550.4890415010.5052245910.4966750030.482998358
236Shaquille Harrison0.4927690130.4965977430.4963764410.4863072730.488542810.496020798
237Langston Galloway0.4926915150.4900930970.4898053180.4991831960.4930754330.491300529
238Seth Curry0.4925372070.4884286810.4883651750.4984633660.495944090.491484723
239Alfonzo McKinnie0.4923912040.5003739810.5004158350.4786347950.4838433470.498688061
240Jose Calderon0.4923809320.4944403010.4942947550.4890897620.4994098280.484670016
241Kosta Koufos0.491946520.5066697590.5064162930.4678150710.4757528530.503078624
242DeMarre Carroll0.4918293140.4881927340.4878389530.4969611460.5007600730.485393662
243Antonio Blakeney0.4917843030.4934116460.4934245960.4881375260.4900486680.49389908
244George Hill0.4914283340.4884936080.4883964010.4960484450.4980000210.486203194
245Nene Hilario0.4912923930.5044824020.5048274240.4738833170.4745748220.498694001
246Ryan Arcidiacono0.4912709230.4896043320.4891320550.4946259610.4973159110.485676359
247Thabo Sefolosha0.4911839190.5013390640.5009398470.4754698970.47760170.500569088
248Justin Jackson0.4910229950.4906505330.490586240.4919299850.4913307110.490617504
249Jonathon Simmons0.4904606120.4900969680.4902680240.4952591010.4932764430.483402525
250Jeremy Lin0.4903223170.4976404860.4967836290.4778462880.4878195260.491521655
251Torrey Craig0.4900831440.4877915280.4878999730.4905023360.4933753070.490846578
252Emmanuel Mudiay0.4898156490.4894337170.4885118830.495967230.491772730.483392684
253Tony Snell0.4898017810.4895957910.4894590250.4885701060.4925017710.488882214
254Allen Crabbe0.4895353910.4788325330.4786714370.5039525090.4980407840.488179691
255Enes Kanter0.4895060130.4992947150.4984490940.4736327410.4813572230.494796292
256Tyrone Wallace0.4894375930.4923593480.4925766990.4796060640.4844534020.498192451
257Derrick Jones0.4893195530.4883366520.4883245850.4897612210.4898437620.490331546
258Marcin Gortat0.4889452410.4945216780.4944172620.4794013760.4806408070.495745081
259Jabari Parker0.488811230.4906712720.4900802980.4875001610.4901265980.485677823
260Al-Farouq Aminu0.4885381730.4839050110.483591660.4914236730.4928774060.490893115
261Ivan Rabb0.487996730.4946188640.4943874730.4738318410.4809371310.49620834
262Maurice Harkless0.4879753970.4877095910.4876306110.4842854080.4901881190.490063254
263Patrick Patterson0.4878664920.4887937650.4888687660.4821145130.4873935320.492161885
264Thaddeus Young0.4878660370.4837464150.4835721220.4932046130.4909343560.48787268
265Kevin Huerter0.4877619640.486047670.4854385240.4924275170.4884653870.486430721
266David Nwaba0.4877012520.4895667910.4898587120.4855273360.4841266620.48942676
267Moritz Wagner0.4876513630.4915849130.4911754620.4805731820.4835511110.491372146
268Alec Burks0.4873826110.493774090.4931980780.4776073320.4816052740.490728277
269Jake Layman0.486982230.4876736390.487675480.4857924660.4849006450.488868917
270Dante Cunningham0.4868783780.4862307730.486266830.4825753040.4885554180.490763567
271Wilson Chandler0.4867257810.4837066670.4838217040.4888118910.486647520.490641123
272Elie Okobo0.4863613620.4869399040.4868657040.4870674950.4903450330.480588674
273Bryn Forbes0.4860545810.4804492210.4799818450.4986841670.491056970.480100701
274Evan Fournier0.4857468440.4846190230.4838549650.4951411780.4869645930.478154461
275DeAndre' Bembry0.485321310.4864157750.4861633330.4821340090.4869624530.48493098
276Taj Gibson0.4847557490.485638220.4855981650.4847492120.4853709450.482422204
277Devonte' Graham0.4847285030.4924292510.4912389110.4703742380.4838064210.485793691
278Josh Hart0.4846011150.4789270050.4788286430.4912991250.4870662120.48688459
279Cristiano Felício0.484453980.4903015470.490521120.4740608260.4756925540.491693852
280Hamidou Diallo0.4842882530.48647430.486570610.4815346120.4789534450.487908299
281Kyle Kuzma0.4841469040.483226110.482426510.490020670.4815634880.483497742
282Shelvin Mack0.4838600650.484320420.4839087970.4846355860.4876531620.478782362
283Bismack Biyombo0.4838150780.4917398040.4916059290.4688213940.4745049240.492403341
284Nicolas Batum0.4837455790.4811252680.4806619940.4847147810.4834941860.488731665
285Mario Hezonja0.4830282910.4847943750.4847281620.4791530330.4790313330.487434554
286Joe Harris0.4827909970.4802036180.4794686050.4925148060.4846583420.477109613
287Michael Kidd-Gilchrist0.4827390390.4885311650.4886116960.4772680940.4749424220.484341818
288Darius Miller0.4826047440.4757486880.4753529540.4982051170.4874429280.476274031
289Tyler Dorsey0.482382340.4897620560.4889908640.4673499030.4766832050.489125669
290Tristan Thompson0.4821061510.4890213150.4888346970.4731830820.474374420.485117243
291OG Anunoby0.4816485190.4767391790.476953130.4847288360.4858004410.484021007
292Jalen Brunson0.4812111090.4851010330.4844505690.474766760.4811970010.480540184
293Juan Hernangomez0.4811912920.4811409850.4810918030.4802273670.4807320260.482764279
294Bojan Bogdanovic0.4809272780.47610170.4755856120.4935656440.4880188170.471364616
295Shaun Livingston0.480234080.4866045570.4866426390.4714975480.4764841890.479941466
296Shai Gilgeous-Alexander0.4801145870.4784483120.4781326490.4890083440.4836292820.47135435
297Josh Jackson0.4800199530.4835719450.4832655650.4762508650.477309580.479701808
298Jeff Green0.4800132550.4786486190.4783487120.4864647640.4826938270.473910353
299Royce O'Neale0.4800051530.4769183950.476954410.4797256960.4830266460.48340062
300Rodney McGruder0.4796556460.4736319260.4736426320.4884138790.4823904270.480199364
301Jerami Grant0.4793370070.473986140.473912890.4874288380.4835772590.477779908
302Dwayne Bacon0.4789035310.479236950.4789898620.479319890.4745850820.48238587
303Damyean Dotson0.4786506760.4770525370.4767866660.4811254740.4813728540.476915851
304James Johnson0.4785089450.4835462060.4828188610.468159810.4782342710.479785576
305Semi Ojeleye0.4780937120.4820790460.481960910.4694563490.4732407760.483731479
306Gary Harris0.4778298360.4742097150.4739414140.4868261450.4802908050.473881099
307Dragan Bender0.4778274880.4756366760.475444370.4774445950.4786075150.482004287
308Rodions Kurucs0.4770163050.4781327860.4781316590.4749987330.4769402650.476878082
309Solomon Hill0.4761363160.4699059030.4703616930.4821628660.4806314040.477619713
310Dorian Finney-Smith0.4759423980.4713673220.4713960640.4794002820.4790252260.478523099
311Lance Thomas0.4757070140.4755816250.4763569350.4759922470.4733979270.477206333
312Glenn Robinson0.4752989890.4788104730.478995160.4692545250.4709090340.478525751
313Tyson Chandler0.4752325110.4770982960.4772053580.4701794060.4739778930.477701601
314Doug McDermott0.4748897560.4760353620.4760726630.476614510.4729756740.472750569
315Harrison Barnes0.4748343680.4668279720.4662880430.4925763780.4812127570.467266691
316Steven Adams0.4746342030.4694075870.4696023510.4807837820.4835379740.469839322
317Mikal Bridges0.4741952770.4653344510.4652328250.4848511490.4795730090.475984949
318Wesley Matthews0.4739738260.4687924110.4684256620.4892240190.4771766390.466250399
319Ante Zizic0.473852630.4743595630.4744153180.4738801570.4737881120.472819999
320Robin Lopez0.4727106120.46725280.4676359020.4841533380.4790316930.465479329
321Andrew Wiggins0.4721122480.4696991040.4691465520.4848576820.472228110.464629795
322Frank Jackson0.4711154020.4682238950.4682753840.4798207420.4709207080.468336282
323Josh Okogie0.4709044230.4640008740.4640891960.4800330920.4770606620.46933829
324Kyle Anderson0.4707763610.4626147920.4625310550.4825436150.4797751920.466417152
325Justin Holiday0.4699562810.4611683280.4609683880.4837784160.4703550620.47351121
326Wayne Selden0.4693441520.4696380120.4698116190.4706568230.4699022380.466712066
327Reggie Bullock0.4692812360.4638140560.4633224730.482553920.4716109280.465104803
328Jared Dudley0.4690667670.4648299820.4649687380.4729239020.4751900610.467421152
329Cedi Osman0.4687080920.4622409310.4619218610.4819998430.4726455030.464732322
330Frank Ntilikina0.4679364280.4665590560.4661882270.4695169760.4735626230.463855259
331P.J. Tucker0.4643869130.4425829390.4427917570.4880582260.4748507420.473650903
332Wesley Iwundu0.4633039360.462188660.4623572980.4649636730.4675094820.459500565
333Bruce Brown0.4628813810.4582019740.4586668180.4704416420.4665953350.460501133
334Austin Rivers0.4609707860.4525971030.452611160.4764988120.4688413870.454305468
335James Ennis0.4603263640.4564848290.4563562640.4675998740.4634066830.45778417
336Rodney Hood0.4593711810.4562248640.4560352040.4693600960.4594667170.455769026
337E'Twaun Moore0.4582190490.4519553310.451825160.475347840.4577499220.454216992
338Kevin Knox0.4578782080.4549891670.4550070770.469537610.4583926030.451464585
339Chandler Hutchison0.4573106910.4521602260.4526908250.4639648290.4604642750.457273299
340Garrett Temple0.4568533750.4456340960.4459556730.4770159420.4627397110.452921452
341Allonzo Trier0.4551342070.4529249480.4528132910.4618436070.4587578970.44933129
342Brandon Ingram0.4520041260.4476225420.4477914080.4624483430.4586702720.443488067
343Collin Sexton0.4453819850.4405837370.4404779780.4621072690.450496150.433244791
344Avery Bradley0.4450075670.4314129160.4316451430.4722897940.4559708140.433719166

The table below shows each player’s cumulative true win shares.

rankplayeravglogldarfgbcdnn
1James Harden53.0264580253.899402853.5469542551.0437864951.7300588354.91208775
2Nikola Jokic50.5993964350.2905355750.0624919949.5858907250.9070299752.15103391
3D'Angelo Russell49.1451965549.1061536448.8772731548.2559027449.1098879650.37676529
4Kemba Walker48.8417668149.3445958849.1060129648.0262844847.6671275950.06481312
5Russell Westbrook48.624284148.7168045948.4367645146.0661557147.9915339951.91016167
6Damian Lillard48.5478684248.6673505148.4052443447.9812060748.0517178649.63382334
7Nikola Vucevic48.2748793749.1733216449.006543646.4964238447.5139627649.18414501
8Paul George46.865540148.6298124348.3805125844.0855854645.1201356948.11165432
9Kevin Durant46.6633578146.2562680246.0643755746.7686267846.4281424847.7993762
10Giannis Antetokounmpo46.5844253646.2434558746.0277031445.4197644147.7000419547.53116144
11Karl-Anthony Towns46.2233329247.1310757846.9497579744.6111879745.1376053747.28703752
12Bradley Beal46.1509479847.1876294546.9858232344.3888187344.5950242547.59744426
13De'Aaron Fox45.3715948645.4514941245.2777351345.7735267845.191759345.16345897
14Trae Young45.3491108245.3769340545.17089345.2088770645.4411868145.54766316
15Rudy Gobert45.2278599745.8543674245.7573466544.3350890244.8285451445.36395162
16Buddy Hield45.0984065245.1861869245.0413948645.1830722545.0067651145.07461344
17Stephen Curry44.4875181745.2225971544.968518343.0436912643.4279026245.77488154
18Eric Bledsoe44.378254744.2778987544.1312671844.0930457344.8836925544.5053693
19Ben Simmons44.261351343.6005696343.4521471844.7018392144.5444633445.00773714
20Brook Lopez43.9126747444.2149653844.1179966443.2639803743.9458123444.02061898
21Terrence Ross43.6180117643.3347977543.2371306344.1710209643.9443324343.40277702
22Marc Gasol43.5714105443.9954952243.8644629542.5267845542.9700843444.50022565
23Montrezl Harrell43.2279460743.0705000243.0215303643.3744353443.5613362643.11192836
24Joe Ingles42.8876593343.3153346643.1720713842.2524308742.6955750743.00288467
25Andre Drummond42.8735139944.3992701744.3158193541.1979087141.5451408342.90943087
26Reggie Jackson42.8486377842.9724515242.8529598842.8550795143.0393848942.52331308
27Mason Plumlee42.713646843.2821610643.2234976441.4425451842.4684552743.15157483
28Monte Morris42.6392694442.8626227242.7883431442.3627190342.6389495242.5437128
29Blake Griffin42.5011193442.6627266442.4794804142.1574850541.9734474543.23245714
30LaMarcus Aldridge42.4797582342.1831461542.127074742.813358842.613458142.66175342
31Luka Doncic42.43013842.2240384142.024854442.4246358742.9281313942.54902995
32Khris Middleton42.3730498642.5399678442.3981775841.8536427942.7623018542.31115923
33Tobias Harris42.162744942.3437135842.2415905442.2295824941.7867659442.21207194
34Lou Williams41.9932309341.6635843141.513115741.694739842.6028033642.49191147
35Klay Thompson41.9513013841.8701858141.7675216842.1818884541.690566742.24634425
36Terry Rozier41.9129053841.9608402841.8706535241.3281950942.4682831441.93655488
37Kyrie Irving41.9083909342.1701267841.9632478940.9510861841.4203246243.03716919
38Patty Mills41.8379773241.6975315341.6128436441.6917641342.8694360641.31831126
39Willie Cauley-Stein41.6517784442.1673232942.1265289740.7645994141.4975066341.7029339
40Donovan Mitchell41.6316692841.4287878841.2864513342.3189004541.4174510641.70675566
41D.J. Augustin41.4373216741.790766341.6783478641.0838763841.6234279541.01018985
42Jeremy Lamb41.414912241.5391978341.4641111341.2290154741.4922646641.34997191
43Bam Adebayo41.2959344541.6520784241.6172243940.5263078941.0170115341.66705002
44Mike Conley41.1742364341.2122001941.0341289240.7869334241.3383300241.49958958
45Jae Crowder41.1472961840.8838972540.812882641.6100384241.4095828241.02007983
46Marcus Smart41.0642424841.1213400941.0388340.67025141.7351381940.7556531
47DeMar DeRozan41.0323550840.0532390939.9513361742.4991811441.5130694941.14494952
48Jordan Clarkson41.0143821240.8776695940.8138162541.427690541.0540505540.89868369
49Malik Beasley40.8787770540.7701048840.7241132241.0350819440.7718557241.09272948
50Danny Green40.8772606640.4422795440.3775122441.3186589341.0527542841.19509829
51Myles Turner40.8577561241.3861730241.3173359540.1126637740.3954344641.07717342
52Kentavious Caldwell-Pope40.773960140.5979838340.5588641241.1361565640.9068527740.66994326
53Nemanja Bjelica40.7322768541.1821261641.1208532439.8143251540.4893957641.05468395
54Pascal Siakam40.5817673140.6473483440.585063440.7113725540.4833964840.48165579
55Patrick Beverley40.5657334140.4204925540.3367614640.2412316840.9970622440.83311912
56Ed Davis40.5505485541.833767941.8178793338.7903034139.7692934640.54149866
57Jusuf Nurkic40.502987140.5189465840.4254220639.7221754440.7152965741.13309484
58Jarrett Allen40.4755083440.6647454840.6402109440.4711282340.4805058940.12095113
59Cory Joseph40.4099220640.1374222740.0926007440.376135341.2836292240.15982278
60Darren Collison40.3246719740.6320878640.511510640.1877715840.331390239.96059961
61Derrick Favors40.3227026540.67924240.6405108739.7020410540.4057021440.18601719
62Kevon Looney40.2378852640.8140690440.8001702139.1999927439.7228218340.65237246
63Hassan Whiteside40.1339233541.1754967441.123393838.7703595839.7911376539.80922896
64Jayson Tatum40.0908178140.0045190539.9462835840.4633672540.4603244439.57959474
65Alex Len40.0878698840.6126472540.5615582939.1796659839.863569840.22190807
66Dario Saric40.0650217140.0983979540.0659798240.0556800940.3289165839.77613409
67Aaron Gordon39.9483316140.0694948339.9857821639.9816840239.4417452840.26295174
68Jamal Murray39.8904240440.1311394540.0168055539.5875033939.470255240.24641662
69Nerlens Noel39.8877034941.3452876341.3229384637.901468738.2195049140.64931773
70Bryn Forbes39.8564756339.3968360939.3585113240.8921017240.2666715539.3682575
71Kelly Olynyk39.8263524239.9199539139.8636409839.2880575640.3075796639.75253001
72DeAndre' Bembry39.7963474239.8860935939.8653932939.534988739.9309211439.76434037
73Ryan Arcidiacono39.7929447939.6579508639.6196964240.0647028340.2825888239.33978505
74Miles Bridges39.7890911839.99349739.9848749139.3314683539.7139585339.92165711
75Dennis Schroeder39.7455309739.5740906839.4959891140.5388378540.1305041738.98823302
76Landry Shamet39.7064877939.251510639.2168590240.4601602740.0180322239.58587685
77Joel Embiid39.6929786540.0272595539.8704564238.9064954739.3336234140.32705838
78Tomas Satoransky39.6850048840.3469229940.275416939.0241292839.2303736539.54818157
79Vince Carter39.6432199639.8637746439.8105403739.1069093939.5499478939.88492752
80JaVale McGee39.6074539940.1096264440.0859505639.2382199439.0476961639.55577684
81Al-Farouq Aminu39.57159239.1963058939.1709244339.8053174939.9230698639.76234234
82Thaddeus Young39.5171490139.183459639.169341939.9495736239.7656828139.5176871
83Mike Scott39.4485380239.6612884239.6485514238.9569573639.2334787539.74241417
84Davis Bertans39.3892674939.2676612939.2124944739.3675901439.557414539.54117702
85Shai Gilgeous-Alexander39.3693961739.2327616139.2068771840.0986841939.6576011338.65105672
86Royce O'Neale39.3604225739.107308439.1102616239.3375070739.6081849639.6388508
87Evan Fournier39.3454943739.2541408939.1922521540.1064354439.4441320338.73051133
88Justin Jackson39.2818395639.2520426439.2468991639.354398839.3064569239.24940028
89J.J. Redick39.2173693539.1062143839.002036640.0197442639.3237130838.63513841
90Dwight Powell39.1924198739.522291339.4836094738.6093058839.001611539.34528121
91Gorgui Dieng39.1512403140.4457784440.4168654637.0717757137.7505994840.07118246
92Marco Belinelli39.0695218438.9974331738.9522631439.3654678239.3495049538.68294012
93Jakob Poeltl38.971784539.8915178439.8733187837.6297065737.9932574939.47112183
94Bojan Bogdanovic38.9551094938.5642376838.5224345539.9788171539.5295241938.18053389
95Julius Randle38.9273691338.6729831838.581155239.2089980438.9445779239.22913133
96Mikal Bridges38.8840126838.1574249538.1490916639.7577942239.3249867539.03076581
97Domantas Sabonis38.5526328839.0053457338.9406910437.2632702438.3400594739.21379794
98Dorian Finney-Smith38.5513342838.1807531138.1830811538.8314228338.8010432738.76037102
99Justin Holiday38.5364150237.8158028937.7994078239.6698301138.5691150938.82791919
100Delon Wright38.4718815639.0680006139.0053040737.3682950438.0862969538.83151113
101Marvin Williams38.4560646138.142910738.1055337738.7595586938.5656524938.7066674
102Langston Galloway38.4299381338.2272615638.2048147938.9362892938.4598837538.32144126
103Jerami Grant38.3469605637.9188911937.9130311838.9943070338.6861807338.22239265
104Serge Ibaka38.2792887838.5349136238.4920442637.9990058638.3110727838.05940738
105P.J. Tucker38.0797268936.2918009836.3089240540.0207745438.9377608838.83937402
106Jrue Holiday38.0222057938.6913256438.5064438336.8808766437.0804538238.95192904
107Danilo Gallinari37.9770435537.8690417837.7487251238.0059187238.4771858637.78434629
108Al Horford37.9766870738.2733592638.1720705437.0490692538.0376333438.35130296
109Steven Adams37.9707362637.5526069637.568188138.4627025438.6830379137.58714579
110Marcus Morris37.9341645637.9713947337.9115366238.1132727838.0358038437.63881482
111Josh Jackson37.9215762638.2021836538.1779796637.6238183337.7074568437.8964428
112Quinn Cook37.8386808338.1053783538.0623491536.9743937537.6083121138.44297078
113Dwyane Wade37.7713011737.8198022437.7252776737.5603848138.1027369937.64830412
114Jonas Jerebko37.7668171938.2256095538.1975780336.7221194837.5562216438.13255724
115Kyle Lowry37.7640945638.589623138.4019805736.4188839837.3585545738.05143056
116Zach Collins37.7015403438.0922603538.0870568836.924200737.5272693637.87691439
117Jonathan Isaac37.5435688937.3532821437.3320138137.9916051937.8229879537.21795533
118Gordon Hayward37.4446455537.3203550437.2681766837.455092237.9233268137.25627703
119Thomas Bryant37.4384180138.211247338.1722527736.3145972436.7080651737.78592759
120T.J. McConnell37.3385596837.740712337.7135946536.6828722137.1861934137.36942585
121Gerald Green37.2024135937.0771752137.0403959437.2328362237.2889562537.37270432
122Josh Richardson37.0757018137.6636624137.5751477636.6932852436.4736720736.97274158
123Jeff Green36.9610206436.8559436936.8328508237.4577868537.1674246936.49109716
124Bogdan Bogdanovic36.8680171237.0670694136.9764314336.6221751937.0229054536.6515041
125Torrey Craig36.7562358236.5843645836.5924979636.787675237.00314836.81349333
126Joe Harris36.6921157836.4954749936.4396140137.4311252736.8340340236.26033062
127Maxi Kleber36.5885805436.7615381336.7475863236.1588292336.6063258336.6686232
128Kevin Huerter36.5821472936.4535752436.4078892936.9320637936.6349040536.48230409
129Harrison Barnes36.5622463635.9457538835.9041792837.9283811137.0533823135.9795352
130Collin Sexton36.5213227736.1278664236.1191942437.8927960436.9406842935.52607288
131Jaylen Brown36.5153587836.3282341636.3103273237.081577336.6817692136.17488591
132Paul Millsap36.4862858836.6149166736.5653808936.2139549336.6695620136.3676149
133Malik Monk36.3428936736.6817460736.6265684735.6681137136.224266336.51377376
134Jeremy Lin36.2838514636.8253959836.7619885535.3606253436.0986449536.37260245
135Nicolas Batum36.2809184236.0843951336.0496495836.3536085936.2620639536.65487484
136CJ McCollum36.2308556836.0330790135.9504222536.7579909936.1961901736.21659597
137Evan Turner36.1082273436.0424479436.0192228135.8614206436.3279927236.29005258
138Draymond Green36.0784929535.8512833835.7439105835.2183222936.4532990937.12564941
139Larry Nance36.0700379936.4628982536.4145201335.0832883135.9253384236.46414485
140Kyle Korver36.0594313435.743406535.711114536.1909242436.7179139735.93379749
141Shaquille Harrison35.9721379436.2516352136.2354801735.5004309335.6636251536.20951825
142Richaun Holmes35.9638302236.6399554236.6141790935.0774549935.2998504636.18771112
143Seth Curry35.9552161135.6552937235.6506577536.387825736.2039185835.87838478
144Mitchell Robinson35.9050259736.5062317136.4823181635.3083187535.1523403936.07592086
145Rudy Gay35.7767038636.2418943936.1805632234.8050604935.7082203735.94778082
146Deandre Ayton35.7746231835.7834044135.7681244435.765494435.8938435735.66224907
147Kawhi Leonard35.732685335.5674652935.4482858935.8643294935.7246205836.05872523
148Anthony Davis35.6354790437.2281434337.0685216332.7908325633.9706547137.11924288
149Cedi Osman35.6218149835.1303107435.1060614136.631988135.9210581935.31965646
150Ricky Rubio35.4011642835.6785083335.5648836235.0848337835.4619161935.21567949
151Tony Snell35.2657282635.2508969535.241049835.1770476135.4601275235.19951943
152LeBron James35.2264198835.4685785635.2791955233.5960027234.7293523137.05897031
153Wayne Selden35.2008113935.2228509135.2358714535.2992617435.2426678835.00340497
154Doug McDermott35.1418419235.2266168135.2293770735.2694737735.0001998734.98354211
155Jalen Brunson35.1284109935.4123754235.3648915234.6579735135.1273810535.07943342
156Spencer Dinwiddie35.1231044735.0437023334.9372624335.2049157535.4942261234.93541573
157Austin Rivers35.0337797434.3973798334.3984481436.2139097335.6319454134.52721557
158Robin Lopez34.9805853134.5767071734.6050567535.8273469835.4483452934.44547038
159Lance Stephenson34.971722635.296811235.2498506534.2651515834.8964328535.15036675
160Yogi Ferrell34.9536638135.5287479535.4996162133.8856561434.4900867735.364212
161DeAndre Jordan34.9514270235.1589359835.1275961134.4265523934.8000294435.24402117
162Damyean Dotson34.9414993834.8248352134.8054266135.1221595935.1402183434.81485713
163Tyus Jones34.8974824135.4602680535.3884237334.4155660734.9144457534.30870846
164Andre Iguodala34.8947770334.826440434.7839133434.5540608635.4128102834.89666027
165Devin Booker34.8905204934.4205962634.2634266435.8738986234.4607263935.43395454
166Josh Okogie34.8469272834.3360646434.3426005235.5224488135.3024889934.73103344
167Clint Capela34.7332766334.7997179134.7688450234.6624153835.042791334.39261354
168Jimmy Butler34.5978688534.5417428734.4371854634.7293889634.4890637334.79196325
169Kent Bazemore34.594315134.7330450434.6869906334.2561402234.673361634.62203803
170Jake Layman34.575738334.6248283534.6249591134.4912650934.4279458234.70969311
171Andrew Wiggins34.4641941334.2880345634.2476982835.3946107734.4726520133.91797504
172Tyreke Evans34.4355018234.8607113334.8143458533.7450559534.3106365834.44675937
173Trevor Ariza34.3931289834.5115849434.4391461634.2831087133.9984493234.73335577
174Kevin Knox34.3408656234.1241875134.125530835.2153207534.3794451933.85984385
175Chris Paul34.2860255634.7774868234.5966722633.3653744434.3023256334.38826865
176Derrick White34.2857784834.5553336534.5073200133.762322234.4222455834.18167097
177Garrett Temple34.2640031133.4225571933.4466754835.7761956834.7054782933.96910889
178Bruce Brown34.2532221633.9069461133.9413445234.812681534.5280548234.07708384
179Dewayne Dedmon34.2271442334.6942869734.6372767833.5190057134.0962034334.18894829
180Kelly Oubre34.2139777934.2227791734.1676227134.4909119334.3588956833.82967947
181Devin Harris34.1495474734.6883112934.6603386333.1100489734.0109003634.27813812
182Eric Gordon34.1446357933.6194528633.5617749235.4251707834.225913133.8908673
183Daniel Theis34.1227700234.6778087234.6544848433.0608016433.6180836734.60267125
184Alfonzo McKinnie33.9749930734.5258047234.5286926133.0258008433.3851909734.40947622
185Taj Gibson33.9329024533.9946754133.9918715533.9324448133.9759661433.76955431
186Kyle Kuzma33.8902832933.8258277133.7698556934.301446933.7094441733.84484195
187Jordan Bell33.8898352534.3499570634.3414183332.8496494633.2796203734.62853104
188Juan Hernangomez33.6833904333.6798689433.6764261933.6159156733.6512418233.79349955
189Justise Winslow33.6527159333.6693179433.5956537933.4688008433.9436826333.58612447
190Noah Vonleh33.5774456133.6592375133.6184235333.3361922633.5246803733.74869437
191Fred VanVleet33.5045553433.6572452833.5574473633.4550567333.6259986833.22702864
192Ersan İlyasova33.3042309233.4596233733.4504773632.8425552433.3746165733.39388208
193Darius Miller33.2997273232.8266594832.7993538134.3761530933.6335620632.86290817
194Stanley Johnson33.2712880933.2949276433.2955655833.1751608533.1841945333.40659186
195Malcolm Brogdon33.01033333.1904128333.1205646832.6923091333.0024098633.04596852
196DeMarre Carroll32.9525640232.708913232.6852098733.2963967933.5509249132.52137533
197Sindarius Thornwell32.8782175632.5282670432.5339172532.8400236133.0651036533.42377628
198Thon Maker32.8345842233.2809032533.2688865432.1667428432.409660633.04672789
199Enes Kanter32.7969028833.452745933.3960893331.7333936232.2509339633.15135159
200JaMychal Green32.7747591132.9932748632.9643963532.4733908133.0837747432.35895879
201Wesley Matthews32.70419432.3466763332.321370733.7564573432.9251880932.17127751
202Cheick Diallo32.6705770933.1242866933.1227937531.812621632.1888267333.10435669
203Jamal Crawford32.6247797932.9306033332.8857827532.2506677532.8483427532.20850237
204Rodney Hood32.6153538932.3919653532.3784994933.3245668532.622136932.35960084
205Zaza Pachulia32.5675333433.2692121433.25984231.303460231.9840115633.02114077
206Nik Stauskas32.5583220932.944609332.9348165131.7794135832.2864041132.84636695
207Josh Hart32.4682747132.0881093632.0815190932.9170413632.6334361932.62126756
208John Collins32.3165802832.6088376832.5672078232.0200884631.9310574632.45570996
209Zach LaVine32.2301108731.8810866331.7840000733.0680351932.2868916732.1305408
210Trey Lyles32.1512446232.6315578132.5991902531.4387273131.6546472532.43210045
211Tim Hardaway32.0341840531.8648557731.7876975632.8395984132.2838752331.39489328
212Mike Muscala31.8413455831.9377887231.9013805131.4355870531.9175470832.01442456
213OG Anunoby31.7888022331.4647857931.4789065631.992103232.0628291331.94538646
214Pat Connaughton31.7089714931.7765652431.7399401231.224115232.0269510231.77728586
215Rodney McGruder31.6572726131.2597071231.2604137432.23531631.8377682131.69315799
216Iman Shumpert31.4182701231.0953442931.0871268631.5445110631.871035431.49333299
217Meyers Leonard31.3146320931.9270601431.9044417530.1776266630.8036672931.76036461
218Jabari Parker31.2839187431.4029614131.3651390531.200010331.3681022431.08338068
219Alec Burks31.1924870731.6015417831.5646770230.5668692730.8227375531.40660975
220Marvin Bagley31.0887231531.3186235331.2920457130.9491156431.1025552330.78127566
221Michael Kidd-Gilchrist30.8952985131.2659945631.2711485530.5451580330.3963150430.99787636
222Anthony Tolliver30.7967008630.6916733230.6797049530.7187336331.0935633730.79982903
223Luke Kennard30.6912166330.5769403330.5432083130.851417730.8756753630.60884143
224Dante Cunningham30.6733378330.632538730.6348102930.4022441430.7789913230.91810469
225Abdel Nader30.5898795430.6572204330.6670926430.2000765230.3803707831.04463732
226Wesley Iwundu30.5780597630.5044515530.5155816930.6876024230.8556258230.32703732
227Tyrone Wallace30.3451307530.5262795830.5397553629.7355759530.0361109130.88793197
228Tim Frazier30.2600047530.6303203730.5864011729.49889630.2791716230.30523462
229Norman Powell30.1228716730.1982262530.1853544230.0644191430.1970997829.96925877
230Shabazz Napier30.1112301630.3959433930.3412656629.5853077930.1736381930.05999577
231Trey Burke30.0979910330.2367703730.1858930829.7406941230.0995113930.22708621
232Rodions Kurucs30.0520272230.1223655230.1222944929.9249202130.047236730.04331918
233Ian Clark30.0516909330.0688121430.0601181429.9392278430.0879460630.10235048
234Ivica Zubac29.9072984130.3439153630.3271770929.1933286329.4182453130.25382563
235Boban Marjanovic29.8003847930.4565290830.4323704128.4353380629.0850351130.59265129
236Shaun Livingston29.7745129530.1694825130.1718436329.2328479929.5420197229.7563709
237Jahlil Okafor29.7563932529.8567783229.8549127829.4642327329.5277185930.07832382
238Tony Parker29.6618912629.6910726429.6825642729.1440416329.9348654729.85691229
239Reggie Bullock29.5647178629.2202855529.1893157930.4008969429.7114884729.30160256
240Rondae Hollis-Jefferson29.4587894529.780161329.7832129328.9405429829.1856343629.60439567
241Derrick Jones29.3591731929.3001991129.299475129.3856732629.390625729.41989278
242T.J. Leaf29.3385558129.8292165129.8311801328.5300989128.7542338729.74804961
243Willy Hernangomez29.3189180330.1458202330.1118174927.747552128.7717997729.81760056
244Maurice Harkless29.278523829.2625754629.2578366429.0571244729.4112871629.40379525
245Sterling Brown29.2143268229.2675922129.2672077828.9231377329.139227229.47446918
246Georges Niang29.2014485129.6864734329.6804813628.2034490728.7015755229.73526319
247Allonzo Trier29.1285892228.9871966628.9800506129.5579908429.3605054128.75720257
248Otto Porter29.0850701129.3600768429.3053420128.6605279728.7823878529.31701585
249Cristiano Felício29.0672387829.4180928529.4312671728.4436495528.5415532229.50163112
250Harry Giles29.0576566729.5312773929.5210512428.1557954128.4414192829.63874004
251Jerian Grant29.0259560929.3105954829.2725396628.2131336629.2469887629.08652291
252Markieff Morris29.0090741729.1616345329.1325448728.7646261728.9202515229.06631375
253George Hill28.9942716928.8211228528.8153876529.2668582529.3820012228.68598847
254Emmanuel Mudiay28.8991232828.8765893128.822201129.2620665529.0145910628.52016836
255Patrick Patterson28.7841230228.8388321128.8432571728.4447562728.7562183729.03755119
256Frank Jackson28.7380395428.561657628.5647984429.2690652828.7261631728.56851319
257Jaren Jackson28.7222179628.7503199728.7332580428.9284098828.7438180728.45528386
258Tyler Johnson28.5629416128.5063171928.4641779728.8177294628.8103455528.21613787
259Ish Smith28.4427177728.646241628.6169124828.0489418328.4373310428.46416192
260Taurean Waller-Prince28.0975627128.0284338728.0054051728.5826646928.1688148227.70249503
261Avery Bradley28.0354767127.1790137327.1936440129.7542570428.7261612727.32430748
262Mario Hezonja28.0156408928.1180737428.1142333827.7908759327.7838172928.2712041
263Ante Zizic27.9573051527.9872142127.9905037627.9589292427.9534986427.89637992
264Shelvin Mack27.5800237327.6062639427.5828014127.6242284127.7962302427.29059462
265Jonathon Simmons27.4657942827.445430227.4550093627.7345096527.6234807927.07054141
266Lauri Markkanen27.2809367527.6711725827.5990853526.8661462627.0959525427.17232701
267Gary Harris27.2363006427.0299537827.014660627.7490902727.3765758927.01122266
268Derrick Rose27.1316206127.1766212127.1201787826.8265106227.0786427327.45614974
269Wayne Ellington26.8568996626.5607940126.5133025527.1719799927.0250664627.01335526
270Jared Dudley26.7368057226.4953089626.5032180826.9566624327.0858334826.64300564
271Ekpe Udoh26.6486381326.8415079726.8283732725.9271627926.5237205627.12242606
272Antonio Blakeney26.5563523826.644228926.6449281826.3594264126.4626280826.67055032
273Troy Brown26.5476369726.9111425626.9086074725.828136526.1660046426.92429369
274Jonas Valanciunas26.419510726.8095356426.769396626.0892646326.0149012326.41445539
275Dennis Smith26.3702709726.3257701826.2814658926.862170126.511300125.87064857
276C.J. Miles26.368153326.3378351326.3323257626.198126726.4589771226.51350176
277James Johnson26.3179919526.5950413226.5550373325.7487895426.3028848826.3882067
278Dirk Nowitzki26.1362687526.6836557126.6551876725.1668480725.5651955926.61045673
279Bismack Biyombo26.1260142326.5539494126.5467201625.3163552925.6232658826.58978041
280Bobby Portis26.0930542526.2342698726.181917225.8965809626.1042207726.04828245
281James Ennis25.7782763725.563150425.5559507626.1855929325.9507742625.63591352
282Elie Okobo25.7771521725.8078149125.8038822925.8145772125.9882867325.47119973
283Tyson Chandler25.6625555825.7633079925.7690893525.3896879425.594806225.79588644
284De'Anthony Melton25.6622252525.7887455725.771423225.2452619925.8551843925.65051112
285Timothe Luwawu-Cabbarot25.5376947125.2647063125.2762937825.7694691925.7432505325.63475373
286Semi Ojeleye25.3389667325.5501894425.5439282324.8811865225.081761125.63776837
287Aron Baynes25.1808186425.5464961925.5345924924.5003623124.9787226125.34391963
288Gary Clark25.0950134625.2066967725.2001444224.553528625.0781929625.43650458
289Quincy Pondexter25.0656943624.9242193224.91648924.9498055825.0630292325.47492868
290Nikola Mirotic25.0351323825.1831054525.0984201124.9671733325.0375457324.88941726
291Troy Daniels24.9169692525.0172701824.9997246424.4473502424.8069997625.31350142
292Justin Anderson24.9098278225.1054078725.1044942624.4079115524.8243636225.10696178
293David Nwaba24.8727638624.9679063424.9827943124.7618941324.6904597724.96076476
294Amir Johnson24.8559219125.3797846225.3688376423.8481262524.2111166425.47174437
295Aaron Holiday24.8300694125.1394596325.1098718524.2088429124.7753442424.9168284
296Wilson Chandler24.8230148324.6690400324.674906924.9294064524.819023525.02269726
297Cody Zeller24.7850690324.8918587924.8910570124.4340936124.7904267824.91790897
298Lonzo Ball24.6894291124.9420712524.8758195223.8749621724.7085095725.04578305
299Thabo Sefolosha24.5591959725.0669532225.0469923323.7734948723.8800850225.02845442
300Chasson Randle24.4553682924.8611090824.8463663624.0046963824.1976380624.36703155
301Luke Kornet24.4391542824.94329524.8976853523.4698395623.9459893724.93896212
302Rajon Rondo24.3029139324.7136589724.6251406223.2010488923.9028288225.07189235
303E'Twaun Moore24.2856096123.9536325423.946733525.1934355424.2607458824.07350056
304Frank Kaminsky24.2508291724.6361710924.6015051923.4615012624.0195745424.53539376
305Matthew Dellavedova24.2341301924.4882780524.4581468523.74220324.5773387123.90468435
306D.J. Wilson24.2241373224.3030494624.2877154523.786182324.3983562824.3453831
307Mo Bamba24.2143148724.6664514224.6549736823.5289164823.8104048424.41082794
308Khem Birch24.1692165824.8196108124.7983175123.3504455223.3919028124.48580625
309Furkan Korkmaz23.9499042824.3372137924.3179692123.2257955923.5598075124.30873529
310Ivan Rabb23.9118397624.2363243624.2249861923.2177602223.5659194124.31420865
311Jose Calderon23.6342847623.7331344323.7261482623.4763085723.9716717523.26416077
312Kenrich Williams23.5880652123.2936673123.2893116123.592474723.9222949223.84257754
313Brandon Ingram23.5042145623.2763721623.2851532124.0473138323.8508541423.06137947
314Omari Spellman23.2807667423.5209049623.5124610422.6944658923.1231953323.55280645
315Hamidou Diallo23.2458361523.3507663823.3553892723.1136613822.9897653623.41959834
316Kris Dunn23.1947932623.3043338223.2428367923.074525223.4256064322.92666406
317Kyle O'Quinn23.0912771723.29030723.2786764422.4249413922.9312888323.5311722
318Jeff Teague22.9732687623.2948738423.2269765822.976179722.9606149122.40769874
319Elfrid Payton22.8233476822.9536191622.8871615822.4926962222.6683752923.11488616
320Sam Dekker22.7513124123.0076634923.0256495722.3331435622.376127623.01397784
321Tyler Dorsey22.6719699623.0188166322.9825706321.9654454222.4041106622.98890646
322Marcin Gortat22.4914810822.7479971722.7431940722.0524633122.1094771322.80427371
323Joakim Noah22.4576634622.9306217222.9128459421.5548555521.9766879222.91330618
324Dion Waiters22.4308327322.4235111822.3736910322.4619754322.510678722.38430732
325Devonte' Graham22.2975111222.6517455722.5969899121.6372149422.2550953622.3465098
326Jonah Bolden22.0210723822.250536622.2144947321.4066714421.8471205122.38653862
327Dragan Bender21.9800644721.8792870821.8704410321.9624513522.0159456822.17219719
328Wendell Carter21.8601635221.7835984621.7706936921.9595432322.076609721.71037253
329Marquese Chriss21.5393444421.9103233221.9137567520.9572447421.0311572421.88424013
330T.J. Warren21.4461757121.3432505221.3171460721.5750816621.7307636721.26463661
331Allen Crabbe21.050021820.5897989420.5828717721.6699578721.4157537220.99172671
332Moritz Wagner20.969008621.1381512621.1205448620.6646468420.7926977821.12900226
333Glenn Robinson20.913155521.0676608121.0757870420.6471991220.7199974921.05513303
334Will Barton20.8814908520.8044684820.7766826720.8804659321.2015692720.74426792
335Greg Monroe20.7779600221.1201188421.1101343120.2905431220.2492858621.11971794
336Tristan Thompson20.7305645121.0279165521.0198919720.3468725220.3981000620.86004146
337Kosta Koufos20.6617538321.2801298721.269484319.64823319.9816198121.1293022
338Nene Hilario20.6342805221.1882608821.2027518219.9030993219.9321425220.94514806
339Dwayne Bacon20.5928518220.6071888520.5965640420.6107552520.4071585520.74259242
340Lance Thomas20.4554015820.4500098820.483348220.4676666320.3561108720.51987233
341Kyle Anderson20.2433835419.8924360719.8888353720.7493754620.6303332520.05593754
342Frank Ntilikina20.1212664120.0620394120.0460937620.1892299620.3631927819.94577613
343Solomon Hill19.9977252719.7360479319.7551911220.2508403820.1865189920.06002795
344Chandler Hutchison19.6643597119.442889719.4657054919.9504876619.7999638419.66275187

As mentioned earlier, durability impacts cumulative true win shares. Furthermore, two players can have the same average true win shares, but different ranges of true win shares. If two players average the same high number of true win shares, you might prefer the more consistent player.

To show more sensitive results, we created an interactive R Shiny app. This lets you compare the true win shares of any two players in a couple different ways. First, you can look at the distribution of true win shares, which shows some form of consistency. For example, if you compare Russell Westbrook and James Harden, you’ll see that Westbrook has a lot of games with low true win shares. So, he’s a polarizing player.

Along with the distribution of true win shares, you can look at the cumulative win shares over time. So, you can see if one player was keeping pace with another, but then got hurt, preventing him from racking up more true win shares. Finally, on the last tab, you can see each player’s individual game log and the true win shares earned for that game. The link is:

http://dribbleanalytics.shinyapps.io/true-win-shares/

Discussion of results

As expected, durability influences cumulative true win shares. So, it’s not exactly a top players list, as several superstars like LeBron, Curry, and Kawhi missed games. The average true win shares looks a lot like a reasonable ranking of the top players. Though no one would rank Westbrook #2, most have Harden, LeBron, Giannis, Curry, and AD among their top players.

The one top player who ranks low is Kevin Durant. This is likely because his counting stats took a hit as a result of playing with the Warriors. This sheds light on the primary issue of the model: though it tries to estimate wins, it does so exclusively through counting stats. For the most part, this gives us a good idea of performance. But, this overvalues some players (like Westbrook) and undervalues others (like Durant). Still, it’s a simple way to measure player impact game-by-game.

Conclusion

NBA teams use analytics to gain an edge in finding players that will help them win. By its construction, true win shares gets to the core of this goal. This is because it’s constructed to predict whether a team will win or lose given a player stat line. Given that it uses counting stats, it has its flaws. But, these counting stats are all we have that’s publicly available on a game-by-game basis.

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