NBA Positional Impact Analysis

Exploratory data analysis

Research question(s)

Which NBA player positions have the highest/best individual, offensive statistics (points per game, assists per game, offensive rebounds per game, field goal percentage)? Which NBA player position is the most impactful based on the highest cumulative average of the offensive statistics combined?

Data collection and cleaning

Have an initial draft of your data cleaning appendix. Document every step that takes your raw data file(s) and turns it into the analysis-ready data set that you would submit with your final project. Include text narrative describing your data collection (downloading, scraping, surveys, etc) and any additional data curation/cleaning (merging data frames, filtering, transformations of variables, etc). Include code for data curation/cleaning, but not collection.

When collecting this data, first we went to basketball-reference.com in order to find data on NBA players and seasons(link: https://www.basketball-reference.com/leagues/NBA_2021_per_game.html). Next, after deciding to focus on the players’ stats from the 2020-2021 season, we converted the relevant data into table and downloaded it as a csv file (nba2021stats.csv). Then we were able to read this data into a dataframe on R.

In order to clean the data first we removed the first row which was a blank row full of n/a values for every column. We also removed the last column, Player.additional which gave each player a unique code to identify them. We removed this variable because it was redundant as the data set already has an identity variable, player. Next we removed redundant variables that had other variables that were percentages for the variables in question. For instance, since the original dataset has variables for field goals made, field goals attempted, and field goal percentage, we removed the first two variables as we would only need the percentage variable. Finally, we renamed variables that were percentages so that they’re easier to understand, such as fg%, 3p%, ft%, 2p%, and efg%.

library(tidyverse)
── Attaching packages ─────────────────────────────────────── tidyverse 1.3.2 ──
✔ ggplot2 3.4.2      ✔ purrr   1.0.0 
✔ tibble  3.2.1      ✔ dplyr   1.0.10
✔ tidyr   1.2.1      ✔ stringr 1.5.0 
✔ readr   2.1.3      ✔ forcats 0.5.2 
── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
✖ dplyr::filter() masks stats::filter()
✖ dplyr::lag()    masks stats::lag()
library(dplyr)
nba <- read.csv("data/nba2021stats.csv")
nba_clean <- nba[-1, -c(8:9, 11:12, 14:15, 18:19, 30)] |>
  rename( "threep_pct" = X3P., "fg_pct" = FG., "ft_pct" = FT., "twop_pct" = X2P., 
          "efg_pct" = eFG.) |>
  filter(!grepl('-', Pos))
nba_clean
                      Player Pos Age  Tm  G GS   MP fg_pct threep_pct twop_pct
1           Precious Achiuwa  PF  21 MIA 61  4 12.1  0.544      0.000    0.546
2               Jaylen Adams  PG  24 MIL  7  0  2.6  0.125      0.000    0.167
3               Steven Adams   C  27 NOP 58 58 27.7  0.614      0.000    0.620
4                Bam Adebayo   C  23 MIA 64 64 33.5  0.570      0.250    0.573
5          LaMarcus Aldridge   C  35 TOT 26 23 25.9  0.473      0.388    0.505
6          LaMarcus Aldridge   C  35 SAS 21 18 25.9  0.464      0.360    0.509
7          LaMarcus Aldridge   C  35 BRK  5  5 26.0  0.521      0.800    0.488
8          Ty-Shon Alexander  SG  22 PHO 15  0  3.1  0.250      0.222    0.333
9   Nickeil Alexander-Walker  SG  22 NOP 46 13 21.9  0.419      0.347    0.485
10             Grayson Allen  SG  25 MEM 50 38 25.2  0.418      0.391    0.471
11             Jarrett Allen   C  22 TOT 63 45 29.6  0.618      0.316    0.631
12             Jarrett Allen   C  22 BRK 12  5 26.7  0.677         NA    0.677
13             Jarrett Allen   C  22 CLE 51 40 30.3  0.609      0.316    0.623
14           Al-Farouq Aminu  PF  30 TOT 23 14 18.9  0.384      0.216    0.484
15           Al-Farouq Aminu  PF  30 ORL 17 14 21.6  0.404      0.226    0.500
16           Al-Farouq Aminu  PF  30 CHI  6  0 11.2  0.200      0.167    0.250
17             Kyle Anderson  PF  27 MEM 69 69 27.3  0.468      0.360    0.539
18     Giannis Antetokounmpo  PF  26 MIL 61 61 33.0  0.569      0.303    0.636
19      Kostas Antetokounmpo  PF  23 LAL 15  0  3.7  0.300         NA    0.300
20    Thanasis Antetokounmpo  SF  28 MIL 57  3  9.7  0.489      0.241    0.556
21           Carmelo Anthony  PF  36 POR 69  3 24.5  0.421      0.409    0.429
22              Cole Anthony  PG  20 ORL 47 34 27.1  0.397      0.337    0.424
23                OG Anunoby  SF  23 TOR 43 43 33.3  0.480      0.398    0.562
24          Ryan Arcidiacono  PG  26 CHI 44  0 10.2  0.419      0.373    0.480
25              Trevor Ariza  SF  35 MIA 30 27 28.0  0.411      0.350    0.500
26             D.J. Augustin  PG  33 TOT 57 12 19.8  0.394      0.382    0.413
27             D.J. Augustin  PG  33 MIL 37  6 19.3  0.370      0.380    0.349
28             D.J. Augustin  PG  33 HOU 20  6 20.8  0.424      0.386    0.476
29               Deni Avdija  SF  20 WAS 54 32 23.3  0.417      0.315    0.535
30             Deandre Ayton   C  22 PHO 69 69 30.7  0.626      0.200    0.639
31            Udoka Azubuike   C  21 UTA 15  0  3.8  0.444         NA    0.444
32              Dwayne Bacon  SG  25 ORL 72 50 25.7  0.402      0.285    0.449
33         Marvin Bagley III  PF  21 SAC 43 42 25.9  0.504      0.343    0.550
34               LaMelo Ball  PG  19 CHO 51 31 28.8  0.436      0.352    0.489
35                Lonzo Ball  PG  23 NOP 55 55 31.8  0.414      0.378    0.482
36                  Mo Bamba   C  22 ORL 46  5 15.8  0.472      0.322    0.568
37              Desmond Bane  SG  22 MEM 68 17 22.3  0.469      0.432    0.513
38           Harrison Barnes  PF  28 SAC 58 58 36.2  0.497      0.391    0.567
39                RJ Barrett  SG  20 NYK 72 72 34.9  0.441      0.401    0.457
40               Will Barton  SF  30 DEN 56 52 31.0  0.426      0.381    0.459
41          Keita Bates-Diop  SF  25 SAS 30  0  8.2  0.448      0.294    0.500
42             Nicolas Batum  SF  32 LAC 67 38 27.4  0.464      0.404    0.579
43               Aron Baynes   C  34 TOR 53 31 18.5  0.441      0.262    0.532
44             Kent Bazemore  SF  31 GSW 67 18 19.9  0.449      0.408    0.486
45             Darius Bazley  PF  20 OKC 55 55 31.2  0.396      0.290    0.470
46              Bradley Beal  SG  27 WAS 60 60 35.8  0.485      0.349    0.535
47             Malik Beasley  SG  24 MIN 37 36 32.8  0.440      0.399    0.487
48               Jordan Bell   C  26 TOT  6  1 13.7  0.318      0.000    0.350
49               Jordan Bell   C  26 WAS  5  1 13.4  0.350      0.000    0.389
50               Jordan Bell   C  26 GSW  1  0 15.0  0.000         NA    0.000
51           DeAndre' Bembry  SF  26 TOR 51 12 19.1  0.513      0.264    0.589
52             Dāvis Bertāns  PF  28 WAS 57  7 25.7  0.404      0.395    0.480
53          Patrick Beverley  PG  32 LAC 37 34 22.5  0.423      0.397    0.468
54                Saddiq Bey  SF  21 DET 70 53 27.3  0.404      0.380    0.450
55                 Tyler Bey  SF  22 DAL 18  0  3.9  0.318      0.250    0.333
56                Khem Birch   C  28 TOT 67 22 22.8  0.497      0.250    0.537
57                Khem Birch   C  28 ORL 48  5 19.8  0.450      0.190    0.479
58                Khem Birch   C  28 TOR 19 17 30.4  0.556      0.290    0.614
59              Goga Bitadze   C  21 IND 45  3 12.5  0.428      0.253    0.548
60           Bismack Biyombo   C  28 CHO 66 36 20.4  0.587      0.000    0.589
61           Nemanja Bjelica  PF  32 TOT 37  3 16.1  0.454      0.318    0.559
62           Nemanja Bjelica  PF  32 SAC 26  1 16.9  0.460      0.293    0.565
63           Nemanja Bjelica  PF  32 MIA 11  2 14.2  0.435      0.370    0.526
64              Eric Bledsoe  SG  31 NOP 71 70 29.7  0.421      0.341    0.496
65            Keljin Blevins  SF  25 POR 17  0  4.4  0.250      0.250    0.250
66         Bogdan Bogdanović  SG  28 ATL 44 27 29.7  0.473      0.438    0.522
67          Bojan Bogdanović  SF  31 UTA 72 72 30.8  0.439      0.390    0.487
68                   Bol Bol  PF  21 DEN 32  2  5.0  0.431      0.375    0.471
69            Marques Bolden   C  22 CLE  6  0  4.8  0.333         NA    0.333
70               Jordan Bone  PG  23 ORL 14  0 14.0  0.426      0.313    0.591
71               Isaac Bonga  SF  21 WAS 40  8 10.8  0.370      0.277    0.500
72              Devin Booker  SG  24 PHO 67 67 33.9  0.484      0.340    0.543
73             Chris Boucher   C  28 TOR 60 14 24.2  0.514      0.383    0.609
74               Brian Bowen  SF  22 IND  6  0  2.5  0.250      0.000    0.333
75             Avery Bradley  SG  30 TOT 27  6 22.3  0.374      0.327    0.443
76             Avery Bradley  SG  30 MIA 10  1 21.1  0.470      0.421    0.536
77             Avery Bradley  SG  30 HOU 17  5 23.0  0.314      0.270    0.381
78              Tony Bradley   C  23 TOT 42  8 16.3  0.665      0.000    0.675
79              Tony Bradley   C  23 PHI 20  8 14.4  0.680      0.000    0.689
80              Tony Bradley   C  23 OKC 22  0 18.0  0.656      0.000    0.667
81          Jarrell Brantley  PF  24 UTA 28  0  4.9  0.481      0.429    0.542
82          Ignas Brazdeikis  SF  22 TOT 13  0 19.2  0.422      0.393    0.436
83          Ignas Brazdeikis  SF  22 NYK  4  0  1.8  0.000         NA    0.000
84          Ignas Brazdeikis  SF  22 PHI  1  0  8.0  0.000      0.000    0.000
85          Ignas Brazdeikis  SF  22 ORL  8  0 29.3  0.443      0.407    0.462
86             Mikal Bridges  SF  24 PHO 72 72 32.6  0.543      0.425    0.647
87             Miles Bridges  PF  22 CHO 66 19 29.3  0.503      0.400    0.593
88              Amida Brimah   C  26 IND  5  0  5.8  0.625         NA    0.625
89            Oshae Brissett  SF  22 IND 21 16 24.7  0.483      0.423    0.548
90           Malcolm Brogdon  PG  28 IND 56 56 34.5  0.453      0.388    0.493
91             Armoni Brooks  SG  22 HOU 20  5 26.0  0.406      0.382    0.514
92             Dillon Brooks  SF  25 MEM 67 67 29.8  0.419      0.344    0.461
93               Bruce Brown  PG  24 BRK 65 37 22.3  0.556      0.288    0.599
94         Charlie Brown Jr.  SG  23 OKC  9  1 16.9  0.302      0.238    0.364
95              Jaylen Brown  SG  24 BOS 58 58 34.5  0.484      0.397    0.536
96               Moses Brown   C  21 OKC 43 32 21.4  0.545         NA    0.545
97            Sterling Brown  SG  25 HOU 51 14 24.1  0.448      0.423    0.492
98            Troy Brown Jr.  SF  21 TOT 34  0 15.4  0.431      0.314    0.541
99            Troy Brown Jr.  SF  21 WAS 21  0 13.7  0.371      0.304    0.442
100           Troy Brown Jr.  SF  21 CHI 13  0 18.2  0.527      0.333    0.677
101            Jalen Brunson  PG  24 DAL 68 12 25.0  0.523      0.405    0.578
102            Elijah Bryant  SG  25 MIL  1  0 32.0  0.462      0.200    0.625
103            Thomas Bryant   C  23 WAS 10 10 27.1  0.648      0.429    0.714
104           Reggie Bullock  SF  29 NYK 65 64 30.0  0.442      0.410    0.521
105               Trey Burke  PG  28 DAL 62  1 14.7  0.428      0.354    0.492
106               Alec Burks  SG  29 NYK 49  5 25.6  0.420      0.415    0.425
107             Jimmy Butler  SF  31 MIA 52 52 33.6  0.497      0.245    0.538
108            Bruno Caboclo  PF  25 HOU  6  0  6.0  0.471      0.000    0.667
109           Devontae Cacok  PF  24 LAL 20  1  4.9  0.586         NA    0.586
110 Kentavious Caldwell-Pope  SG  27 LAL 67 67 28.4  0.431      0.410    0.460
111         Facundo Campazzo  PG  29 DEN 65 19 21.9  0.381      0.352    0.444
112            Vlatko Čančar  PF  23 DEN 41  1  6.9  0.458      0.273    0.615
113            Devin Cannady  PG  24 ORL  8  0  9.3  0.393      0.375    0.417
114             Clint Capela   C  26 ATL 63 63 30.1  0.594         NA    0.594
115         Vernon Carey Jr.   C  19 CHO 19  4  6.1  0.500      0.143    0.586
116             Jevon Carter  PG  25 PHO 60  1 12.0  0.422      0.371    0.528
117       Wendell Carter Jr.   C  21 TOT 54 44 25.5  0.503      0.294    0.530
118       Wendell Carter Jr.   C  21 CHI 32 25 24.8  0.512      0.364    0.526
119       Wendell Carter Jr.   C  21 ORL 22 19 26.5  0.493      0.241    0.534
120  Michael Carter-Williams  SG  29 ORL 31 25 25.8  0.389      0.246    0.431
121              Alex Caruso  PG  26 LAL 58  6 21.0  0.436      0.401    0.464
122      Willie Cauley-Stein   C  27 DAL 53 16 17.1  0.632      0.091    0.667
123            Chris Chiozza  PG  25 BRK 22  1 10.5  0.352      0.310    0.391
124          Marquese Chriss  PF  23 GSW  2  0 13.5  0.357      0.200    0.444
125               Gary Clark  SF  26 ORL 35 11 18.2  0.305      0.287    0.391
126               Gary Clark  SF  26 DEN  2  0  2.0     NA         NA       NA
127               Gary Clark  PF  26 PHI  2  0  6.5  0.000         NA    0.000
128           Brandon Clarke  PF  24 MEM 59 16 24.0  0.517      0.260    0.565
129          Jordan Clarkson  SG  28 UTA 68  1 26.7  0.425      0.347    0.523
130              Nic Claxton   C  21 BRK 32  1 18.6  0.621      0.200    0.636
131              Amir Coffey  SG  23 LAC 44  1  9.0  0.437      0.411    0.468
132             John Collins  PF  23 ATL 63 63 29.3  0.556      0.399    0.615
133              Mike Conley  PG  33 UTA 51 51 29.4  0.444      0.412    0.479
134          Pat Connaughton  SG  28 MIL 69  4 22.8  0.434      0.371    0.583
135               Quinn Cook  PG  27 TOT 23  0  6.8  0.426      0.423    0.429
136               Quinn Cook  PG  27 LAL 16  0  3.9  0.462      0.385    0.538
137               Quinn Cook  PG  27 CLE  7  0 13.6  0.405      0.462    0.379
138               Tyler Cook  PF  23 BRK  4  0  4.3  0.333         NA    0.333
139               Tyler Cook  SF  23 DET 28  1 15.0  0.680      0.500    0.684
140         DeMarcus Cousins   C  30 TOT 41 11 17.4  0.426      0.348    0.488
141         DeMarcus Cousins   C  30 HOU 25 11 20.2  0.376      0.336    0.426
142         DeMarcus Cousins   C  30 LAC 16  0 12.9  0.537      0.421    0.566
143         Robert Covington  PF  30 POR 70 70 32.0  0.401      0.379    0.451
144             Torrey Craig  SF  30 TOT 50  8 16.1  0.480      0.368    0.579
145             Torrey Craig  SF  30 MIL 18  0 11.2  0.391      0.364    0.417
146             Torrey Craig  SF  30 PHO 32  8 18.8  0.503      0.369    0.619
147              Jae Crowder  PF  30 PHO 60 42 27.5  0.404      0.389    0.455
148           Jarrett Culver  SG  21 MIN 34  7 14.7  0.411      0.245    0.487
149               Seth Curry  SG  30 PHI 57 57 28.7  0.467      0.450    0.485
150            Stephen Curry  PG  32 GSW 63 63 34.2  0.482      0.421    0.569
151             Nate Darling  SG  22 CHO  7  0  3.7  0.286      0.286       NA
152            Anthony Davis  PF  27 LAL 36 36 32.3  0.491      0.260    0.536
153                 Ed Davis   C  31 MIN 23  7 13.0  0.432         NA    0.432
154            Terence Davis  SG  23 TOT 61  4 17.6  0.428      0.367    0.513
155            Terence Davis  SG  23 TOR 34  4 14.5  0.414      0.361    0.489
156            Terence Davis  SG  23 SAC 27  0 21.5  0.439      0.372    0.535
157             Gabriel Deck  PF  25 OKC 10  0 21.2  0.478      0.133    0.577
158           Dewayne Dedmon   C  31 MIA 16  0 13.1  0.708      0.200    0.750
159      Matthew Dellavedova  PG  30 CLE 13  1 17.2  0.250      0.160    0.323
160            DeMar DeRozan  PF  31 SAS 61 61 33.7  0.495      0.257    0.515
161           Mamadi Diakite  PF  24 MIL 14  1 10.1  0.400      0.125    0.469
162           Hamidou Diallo  SG  22 OKC 32  5 23.8  0.481      0.293    0.512
163           Hamidou Diallo  SF  22 DET 20  4 23.3  0.468      0.390    0.492
164             Gorgui Dieng   C  31 TOT 38  1 14.5  0.521      0.429    0.591
165             Gorgui Dieng   C  31 MEM 22  1 16.9  0.519      0.479    0.550
166             Gorgui Dieng   C  31 SAS 16  0 11.3  0.527      0.318    0.667
167        Spencer Dinwiddie  SG  27 BRK  3  3 21.3  0.375      0.286    0.444
168         Donte DiVincenzo  SG  24 MIL 66 66 27.5  0.420      0.379    0.475
169              Luka Dončić  PG  21 DAL 66 66 34.3  0.479      0.350    0.567
170            Luguentz Dort  SG  21 OKC 52 52 29.7  0.387      0.343    0.432
171           Damyean Dotson  SG  26 CLE 46  7 19.7  0.406      0.289    0.545
172             Devon Dotson  PG  21 CHI 11  0  4.5  0.524      0.143    0.714
173          Sekou Doumbouya  PF  20 DET 56 11 15.5  0.379      0.226    0.485
174                PJ Dozier  SG  24 DEN 50  6 21.8  0.417      0.315    0.490
175             Goran Dragić  PG  34 MIA 50 11 26.7  0.432      0.373    0.479
176           Andre Drummond   C  27 TOT 46 46 27.0  0.493      0.000    0.500
177           Andre Drummond   C  27 CLE 25 25 28.9  0.474      0.000    0.484
178           Andre Drummond   C  27 LAL 21 21 24.8  0.531         NA    0.531
179             Jared Dudley  PF  35 LAL 12  0  6.8  0.222      0.333    0.000
180                Kris Dunn  PG  26 ATL  4  0 11.3  0.083      0.000    0.100
181             Kevin Durant  PF  32 BRK 35 32 33.1  0.537      0.450    0.577
182          Anthony Edwards  SG  19 MIN 72 55 32.1  0.417      0.329    0.483
183           Carsen Edwards  SG  22 BOS 31  1  8.9  0.423      0.286    0.604
184                CJ Elleby  SF  20 POR 30  0  6.4  0.379      0.206    0.563
185           Henry Ellenson  PF  24 TOR  2  0 19.0  0.357      0.222    0.600
186          Wayne Ellington  SG  33 DET 46 31 22.0  0.441      0.422    0.524
187              Joel Embiid   C  26 PHI 51 51 31.1  0.513      0.377    0.541
188          James Ennis III  SF  30 ORL 41 37 24.0  0.473      0.433    0.504
189             Drew Eubanks   C  23 SAS 54  3 14.0  0.566      1.000    0.562
190               Dante Exum  SG  25 CLE  6  3 19.3  0.385      0.182    0.533
191               Tacko Fall   C  25 BOS 19  0  7.2  0.724         NA    0.724
192           Derrick Favors   C  29 UTA 68  0 15.3  0.638      0.000    0.643
193        Cristiano Felício   C  28 CHI 18  0  4.7  0.538      0.000    0.636
194        Terrance Ferguson  SG  22 PHI 13  0  3.8  0.143      0.000    0.500
195           Bruno Fernando   C  22 ATL 33  0  6.8  0.409      0.000    0.429
196             Yogi Ferrell  PG  27 TOT 10  0 13.6  0.351      0.321    0.379
197             Yogi Ferrell  PG  27 CLE  2  0 20.0  0.381      0.333    0.417
198             Yogi Ferrell  PG  27 LAC  8  0 12.0  0.333      0.316    0.353
199      Dorian Finney-Smith  PF  27 DAL 60 60 32.0  0.472      0.394    0.616
200              Malik Fitts  PF  23 LAC  3  0  3.7  0.333      0.500    0.000
201            Malachi Flynn  PG  22 TOR 47 14 19.7  0.374      0.321    0.424
202              Bryn Forbes  SG  27 MIL 70 10 19.3  0.473      0.452    0.511
203            Trent Forrest  PG  22 UTA 30  0 10.1  0.451      0.192    0.600
204            Evan Fournier  SF  28 ORL 26 26 30.3  0.461      0.388    0.536
205            Evan Fournier  SG  28 BOS 16 10 29.5  0.448      0.463    0.429
206             De'Aaron Fox  PG  23 SAC 58 58 35.1  0.477      0.322    0.539
207            Robert Franks  PF  24 ORL  7  0 14.4  0.464      0.333    0.615
208              Tim Frazier  PG  30 MEM  5  0 12.4  0.150      0.000    0.250
209             Enes Freedom   C  28 POR 72 35 24.4  0.604      0.250    0.607
210           Markelle Fultz  PG  22 ORL  8  8 26.9  0.394      0.250    0.420
211           Wenyen Gabriel  PF  23 NOP 21  0 11.5  0.400      0.406    0.393
212           Daniel Gafford  PF  22 CHI 31 11 12.4  0.690         NA    0.690
213           Daniel Gafford   C  22 WAS 23  0 17.7  0.681         NA    0.681
214         Danilo Gallinari  PF  32 ATL 51  4 24.0  0.434      0.406    0.466
215        Langston Galloway  SG  29 PHO 40  0 11.0  0.449      0.424    0.484
216           Darius Garland  PG  21 CLE 54 50 33.1  0.451      0.395    0.479
217               Marc Gasol   C  36 LAL 52 42 19.1  0.454      0.410    0.528
218                 Rudy Gay  PF  34 SAS 63  1 21.6  0.420      0.381    0.451
219              Paul George  SF  30 LAC 54 54 33.7  0.467      0.411    0.510
220               Taj Gibson   C  35 NYK 45  3 20.8  0.627      0.200    0.671
221              Harry Giles   C  22 POR 38  0  9.2  0.433      0.348    0.459
222  Shai Gilgeous-Alexander  SG  22 OKC 35 35 33.7  0.508      0.418    0.547
223             Anthony Gill  PF  28 WAS 26  4  8.4  0.500      0.292    0.639
224        Freddie Gillespie  PF  23 TOR 20  2 19.6  0.524         NA    0.524
225              Rudy Gobert   C  28 UTA 71 71 30.8  0.675      0.000    0.680
226          Brandon Goodwin  PG  25 ATL 47  5 13.2  0.377      0.311    0.433
227             Aaron Gordon  PF  25 TOT 50 50 27.7  0.463      0.335    0.533
228             Aaron Gordon  PF  25 ORL 25 25 29.4  0.437      0.375    0.475
229             Aaron Gordon  PF  25 DEN 25 25 25.9  0.500      0.266    0.606
230              Eric Gordon  SG  32 HOU 27 13 29.2  0.433      0.329    0.573
231          Devonte' Graham  PG  25 CHO 55 44 30.2  0.377      0.375    0.380
232             Jerami Grant  SF  26 DET 54 54 33.9  0.429      0.350    0.473
233              Danny Green  SF  33 PHI 69 69 28.0  0.412      0.405    0.438
234           Draymond Green  PF  30 GSW 63 63 31.5  0.447      0.270    0.535
235           JaMychal Green  PF  30 DEN 58  5 19.3  0.463      0.399    0.534
236            Javonte Green  SF  27 BOS 25  2 13.8  0.549      0.318    0.653
237            Javonte Green  SG  27 CHI 16  0  8.0  0.452      0.375    0.478
238               Jeff Green  PF  34 BRK 68 38 27.0  0.492      0.412    0.564
239               Josh Green  SG  20 DAL 39  5 11.4  0.452      0.160    0.559
240            Blake Griffin  PF  31 TOT 46 30 25.8  0.423      0.341    0.505
241            Blake Griffin  PF  31 DET 20 20 31.3  0.365      0.315    0.429
242            Blake Griffin  PF  31 BRK 26 10 21.5  0.492      0.383    0.574
243                 Kyle Guy  PG  23 SAC 31  0  7.6  0.330      0.283    0.381
244            Rui Hachimura  PF  22 WAS 57 57 31.5  0.478      0.328    0.519
245            Ashton Hagans  PG  21 MIN  2  0  2.0     NA         NA       NA
246        Tyrese Haliburton  PG  20 SAC 58 20 30.1  0.472      0.409    0.529
247               Donta Hall  PF  23 ORL 13  0 13.8  0.714         NA    0.714
248                Josh Hall  SF  20 OKC 21  1 16.0  0.303      0.108    0.419
249             R.J. Hampton  PG  19 DEN 25  0  9.3  0.417      0.278    0.476
250             R.J. Hampton  SG  19 ORL 26  1 25.2  0.439      0.319    0.484
251         Tim Hardaway Jr.  SG  28 DAL 70 31 28.4  0.447      0.391    0.524
252             James Harden  PG  31 TOT 44 43 36.6  0.466      0.362    0.553
253             James Harden  PG  31 HOU  8  8 36.3  0.444      0.347    0.556
254             James Harden  PG  31 BRK 36 35 36.6  0.471      0.366    0.552
255         Maurice Harkless  SF  27 MIA 11  3 11.3  0.385      0.455    0.000
256         Maurice Harkless  PF  27 SAC 26 20 24.9  0.421      0.247    0.582
257             Jared Harper  PG  23 NYK  8  0  2.0  0.000      0.000    0.000
258         Montrezl Harrell   C  27 LAL 69  1 22.9  0.622      0.000    0.632
259              Gary Harris  SG  26 TOT 39 38 27.7  0.400      0.340    0.441
260              Gary Harris  SG  26 DEN 19 19 30.6  0.442      0.320    0.556
261              Gary Harris  SG  26 ORL 20 19 25.0  0.365      0.364    0.366
262             Jalen Harris  SG  22 TOR 13  2 13.2  0.500      0.472    0.528
263               Joe Harris  SF  29 BRK 69 65 31.0  0.505      0.475    0.555
264            Tobias Harris  PF  28 PHI 62 62 32.5  0.512      0.394    0.546
265       Shaquille Harrison  SG  27 TOT 34  0  9.8  0.333      0.188    0.371
266       Shaquille Harrison  SG  27 UTA 17  0  3.3  0.300      0.000    0.333
267       Shaquille Harrison  SG  27 DEN 17  0 16.3  0.345      0.214    0.386
268                Josh Hart  SF  25 NOP 47  4 28.7  0.439      0.326    0.583
269       Isaiah Hartenstein   C  22 TOT 46  2 12.2  0.550      0.333    0.558
270       Isaiah Hartenstein   C  22 DEN 30  0  9.1  0.513         NA    0.513
271       Isaiah Hartenstein   C  22 CLE 16  2 17.9  0.582      0.333    0.600
272            Udonis Haslem   C  40 MIA  1  0  3.0  1.000         NA    1.000
273             Jaxson Hayes   C  20 NOP 60  3 16.1  0.625      0.429    0.635
274            Killian Hayes  PG  19 DET 26 18 25.8  0.353      0.278    0.395
275           Gordon Hayward  SF  30 CHO 44 44 34.0  0.473      0.415    0.499
276      Juancho Hernangómez  PF  25 MIN 52  6 17.3  0.435      0.327    0.573
277        Willy Hernangómez   C  26 NOP 47 12 18.0  0.563      0.100    0.581
278              Tyler Herro  SG  21 MIA 54 15 30.3  0.439      0.360    0.498
279              Buddy Hield  SG  28 SAC 71 71 34.3  0.406      0.391    0.446
280              George Hill  PG  34 TOT 30 17 22.4  0.482      0.388    0.547
281              George Hill  PG  34 OKC 14 14 26.4  0.508      0.386    0.619
282              George Hill  PG  34 PHI 16  3 18.9  0.442      0.391    0.463
283             Solomon Hill  PF  29 ATL 71 16 21.3  0.359      0.321    0.453
284              Nate Hinton  SG  21 DAL 21  0  4.4  0.357      0.211    0.478
285             Jaylen Hoard  SF  21 OKC 19  0 16.8  0.500      0.000    0.571
286            Aaron Holiday  PG  24 IND 66  8 17.8  0.390      0.368    0.406
287             Jrue Holiday  PG  30 MIL 59 56 32.3  0.503      0.392    0.561
288           Justin Holiday  SG  31 IND 72 52 30.3  0.413      0.382    0.494
289  Rondae Hollis-Jefferson  PF  26 POR 11  1  9.7  0.500      0.000    0.529
290           Richaun Holmes   C  27 SAC 61 61 29.2  0.637      0.182    0.645
291              Rodney Hood  SF  28 TOT 55  5 17.1  0.362      0.301    0.408
292              Rodney Hood  SF  28 POR 38  5 19.1  0.363      0.298    0.410
293              Rodney Hood  SF  28 TOR 17  0 12.7  0.356      0.310    0.400
294               Al Horford   C  34 OKC 28 28 27.9  0.450      0.368    0.510
295      Talen Horton-Tucker  SG  20 LAL 65  4 20.1  0.458      0.282    0.522
296         Danuel House Jr.  SF  27 HOU 36 23 25.9  0.404      0.346    0.483
297            Dwight Howard   C  35 PHI 69  6 17.3  0.587      0.250    0.611
298            Markus Howard  SG  21 DEN 37  1  5.5  0.377      0.277    0.537
299            Kevin Huerter  SG  22 ATL 69 49 30.8  0.432      0.363    0.510
300            Elijah Hughes  SF  22 UTA 18  0  3.6  0.333      0.348    0.286
301          De'Andre Hunter  SF  23 ATL 23 19 29.5  0.484      0.326    0.582
302       Chandler Hutchison  SF  24 TOT 25  1 13.8  0.379      0.364    0.383
303       Chandler Hutchison  SF  24 CHI  7  0  9.1  0.278      0.333    0.267
304       Chandler Hutchison  SF  24 WAS 18  1 15.7  0.400      0.368    0.409
305              Serge Ibaka   C  31 LAC 41 39 23.3  0.510      0.339    0.588
306           Andre Iguodala  SF  37 MIA 63  5 21.3  0.383      0.330    0.530
307           Ersan İlyasova  PF  33 UTA 17  1  8.7  0.389      0.439    0.231
308               Joe Ingles  SF  33 UTA 67 30 27.9  0.489      0.451    0.590
309           Brandon Ingram  SF  23 NOP 61 61 34.3  0.466      0.381    0.510
310             Kyrie Irving  PG  28 BRK 54 54 34.9  0.506      0.402    0.561
311               Wes Iwundu  SF  26 TOT 41  4 13.1  0.333      0.122    0.475
312               Wes Iwundu  SF  26 DAL 23  3 12.5  0.327      0.130    0.483
313               Wes Iwundu  SF  26 NOP 18  1 13.9  0.340      0.111    0.469
314            Frank Jackson  PG  22 DET 40  6 18.5  0.457      0.407    0.510
315        Jaren Jackson Jr.   C  21 MEM 11  4 23.5  0.424      0.283    0.554
316             Josh Jackson  SG  23 DET 62 25 25.2  0.419      0.300    0.487
317           Justin Jackson  SF  25 TOT 34  3 17.0  0.403      0.308    0.510
318           Justin Jackson  SF  25 OKC 33  3 16.5  0.406      0.306    0.515
319           Justin Jackson  SF  25 MIL  1  0 33.0  0.333      0.333    0.333
320           Reggie Jackson  SG  30 LAC 67 43 23.0  0.450      0.433    0.465
321             Justin James  SF  24 SAC 36  0  8.6  0.468      0.368    0.521
322             LeBron James  PG  36 LAL 45 45 33.4  0.513      0.365    0.591
323               Mike James  PG  30 BRK 13  1 18.2  0.370      0.355    0.377
324          DaQuan Jeffries  SG  23 TOT 31  5 15.9  0.417      0.299    0.566
325          DaQuan Jeffries  SG  23 SAC 18  2 12.9  0.421      0.321    0.517
326          DaQuan Jeffries  SG  23 HOU 13  3 20.1  0.413      0.282    0.625
327                Ty Jerome  SG  23 OKC 33  1 23.9  0.446      0.423    0.479
328               Isaiah Joe  SG  21 PHI 41  1  9.3  0.361      0.368    0.333
329            Alize Johnson  PF  24 BRK 18  0 10.5  0.588      0.167    0.629
330          Cameron Johnson  PF  24 PHO 60 11 24.0  0.420      0.349    0.581
331            James Johnson  PF  33 TOT 51 12 20.5  0.446      0.258    0.556
332            James Johnson  PF  33 DAL 29  1 17.4  0.462      0.250    0.612
333            James Johnson  PF  33 NOP 22 11 24.5  0.434      0.267    0.516
334           Keldon Johnson  SF  21 SAS 69 67 28.5  0.479      0.331    0.531
335          Stanley Johnson  PF  24 TOR 61 13 16.5  0.382      0.328    0.458
336            Tyler Johnson  SG  28 BRK 39  3 17.5  0.393      0.364    0.471
337             Nikola Jokić   C  25 DEN 72 72 34.6  0.566      0.388    0.606
338             Damian Jones   C  25 TOT 39 10 14.0  0.680      0.200    0.704
339             Damian Jones   C  25 PHO 14  0  6.7  0.500      0.000    0.533
340             Damian Jones   C  25 LAL  8  6 14.0  0.941         NA    0.941
341             Damian Jones   C  25 SAC 17  4 20.1  0.657      0.250    0.682
342        Derrick Jones Jr.  SF  23 POR 58 43 22.7  0.484      0.316    0.619
343              Mason Jones  SG  22 TOT 32  1 10.4  0.423      0.364    0.491
344              Mason Jones  SG  22 HOU 26  1 11.8  0.412      0.359    0.480
345              Mason Jones  SG  22 PHI  6  0  4.5  0.556      0.500    0.571
346                Tre Jones  PG  21 SAS 37  1  7.3  0.474      0.600    0.466
347               Tyus Jones  PG  24 MEM 70  9 17.5  0.431      0.321    0.487
348           DeAndre Jordan   C  32 BRK 57 43 21.9  0.763      0.000    0.766
349              Cory Joseph  PG  29 TOT 63 13 23.0  0.469      0.341    0.527
350              Cory Joseph  PG  29 SAC 44  2 21.5  0.444      0.330    0.513
351              Cory Joseph  PG  29 DET 19 11 26.4  0.506      0.368    0.543
352        Mfiondu Kabengele  PF  23 TOT 39  0  7.2  0.371      0.260    0.513
353        Mfiondu Kabengele  PF  23 LAC 23  0  4.1  0.281      0.222    0.357
354        Mfiondu Kabengele  PF  23 CLE 16  0 11.6  0.421      0.281    0.600
355           Frank Kaminsky   C  27 PHO 47 13 15.2  0.471      0.365    0.523
356             Luke Kennard  SG  24 LAC 63 17 19.6  0.476      0.446    0.511
357               Louis King  SF  21 SAC  6  1 14.2  0.500      0.364    0.565
358              Maxi Kleber  PF  29 DAL 50 40 26.8  0.422      0.410    0.460
359            Nathan Knight  PF  23 ATL 33  0  8.5  0.370      0.182    0.463
360               Kevin Knox  SF  21 NYK 42  0 11.0  0.392      0.393    0.389
361             John Konchar  SG  24 MEM 43  0 13.4  0.500      0.375    0.585
362           Furkan Korkmaz  SG  23 PHI 55 11 19.3  0.401      0.375    0.445
363              Luke Kornet  PF  25 CHI 13  0  7.2  0.333      0.261    0.750
364              Luke Kornet   C  25 BOS 18  2 14.1  0.473      0.250    0.684
365           Rodions Kurucs  PF  22 BRK  5  0  3.2  0.333      0.500    0.000
366           Rodions Kurucs  SF  22 HOU 11  0  6.8  0.238      0.133    0.500
367           Rodions Kurucs  SF  22 MIL  5  0  6.8  0.625      0.750    0.500
368               Kyle Kuzma  SF  25 LAL 68 32 28.7  0.443      0.361    0.525
369             Anthony Lamb  SF  23 HOU 24  3 17.3  0.390      0.324    0.489
370              Jeremy Lamb  SG  28 IND 36  8 21.3  0.435      0.406    0.459
371           Romeo Langford  SG  21 BOS 18  4 15.7  0.356      0.278    0.390
372              Zach LaVine  SG  25 CHI 58 58 35.1  0.507      0.419    0.571
373              Jake Layman  SF  26 MIN 45 11 13.9  0.495      0.295    0.642
374                T.J. Leaf  PF  23 POR  7  0  5.0  0.500         NA    0.500
375             Jalen Lecque  PG  20 IND  4  0  3.0  0.111      0.000    0.125
376               Damion Lee  SG  28 GSW 57  1 18.9  0.467      0.397    0.638
377                Saben Lee  PG  21 DET 48  7 16.3  0.471      0.348    0.487
378                 Alex Len   C  27 TOT 64 42 15.3  0.615      0.320    0.644
379                 Alex Len   C  27 TOR  7  2 10.9  0.500      0.500    0.500
380                 Alex Len   C  27 WAS 57 40 15.8  0.619      0.263    0.647
381            Kawhi Leonard  SF  29 LAC 52 52 34.1  0.512      0.398    0.557
382           Meyers Leonard   C  28 MIA  3  2  9.7  0.429      0.429       NA
383             Caris LeVert  SG  26 TOT 47 39 31.6  0.441      0.326    0.495
384             Caris LeVert  SG  26 BRK 12  4 27.8  0.435      0.349    0.474
385             Caris LeVert  SG  26 IND 35 35 32.9  0.443      0.318    0.501
386           Kira Lewis Jr.  PG  19 NOP 54  0 16.7  0.386      0.333    0.415
387           Damian Lillard  PG  30 POR 67 67 35.8  0.451      0.391    0.519
388            Nassir Little  PF  20 POR 48  2 13.3  0.467      0.350    0.575
389             Kevon Looney   C  24 GSW 61 34 19.0  0.548      0.235    0.578
390              Brook Lopez   C  32 MIL 70 70 27.2  0.503      0.338    0.632
391              Robin Lopez   C  32 WAS 71  9 19.1  0.633      0.278    0.649
392             Didi Louzada  SF  21 NOP  3  0 18.7  0.231      0.250    0.200
393               Kevin Love  PF  32 CLE 25 25 24.9  0.409      0.365    0.479
394               Kyle Lowry  PG  34 TOR 46 46 34.8  0.436      0.396    0.487
395  Timothé Luwawu-Cabarrot  SF  25 BRK 58  7 18.1  0.365      0.314    0.470
396               Trey Lyles  PF  25 SAS 23  9 15.6  0.478      0.350    0.580
397              Will Magnay   C  22 NOP  1  0  3.0  0.000      0.000       NA
398               Thon Maker   C  23 CLE  8  0  9.5  0.556      0.000    0.625
399             Théo Maledon  PG  19 OKC 65 49 27.4  0.368      0.335    0.402
400               Karim Mané  PG  20 ORL 10  0  8.8  0.231      0.500    0.182
401             Terance Mann  SG  24 LAC 67 10 18.9  0.509      0.418    0.541
402             Nico Mannion  PG  19 GSW 30  1 12.1  0.342      0.367    0.315
403         Boban Marjanović   C  32 DAL 33  3  8.2  0.508      0.125    0.535
404          Lauri Markkanen  PF  23 CHI 51 26 25.8  0.480      0.402    0.582
405            Naji Marshall  SF  23 NOP 32 10 21.9  0.392      0.349    0.421
406             Caleb Martin  SF  25 CHO 53  3 15.4  0.375      0.248    0.496
407              Cody Martin  SF  25 CHO 52 10 16.3  0.441      0.276    0.515
408          Jeremiah Martin  PG  24 CLE  9  0  8.3  0.273      0.250    0.286
409             Kelan Martin  SF  25 IND 35  0  9.2  0.449      0.400    0.487
410        Kenyon Martin Jr.  SF  20 HOU 45  8 23.7  0.509      0.365    0.572
411          Frank Mason III  PG  26 ORL  4  1 19.8  0.375      0.400    0.368
412         Garrison Mathews  SG  24 WAS 64 24 16.2  0.409      0.384    0.538
413           Dakota Mathias  SG  25 PHI  8  2 15.4  0.396      0.308    0.500
414          Wesley Matthews  SG  34 LAL 58 10 19.5  0.353      0.335    0.418
415             Tyrese Maxey  SG  20 PHI 61  8 15.3  0.462      0.301    0.512
416              Skylar Mays  SG  23 ATL 33  0  8.2  0.449      0.350    0.517
417            Patrick McCaw  SF  25 TOR  5  0  6.6  1.000         NA    1.000
418              CJ McCollum  SG  29 POR 47 47 34.0  0.458      0.402    0.509
419           T.J. McConnell  PG  28 IND 69  3 26.0  0.559      0.313    0.586
420          Jaden McDaniels  PF  20 MIN 63 27 24.0  0.447      0.364    0.544
421          Jalen McDaniels  SF  23 CHO 47 18 19.2  0.468      0.333    0.547
422           Doug McDermott  PF  29 IND 66 29 24.5  0.532      0.388    0.641
423           Sean McDermott  SF  24 MEM 18  0  8.8  0.394      0.227    0.727
424             JaVale McGee   C  33 TOT 46  2 14.7  0.511      0.208    0.539
425             JaVale McGee   C  33 CLE 33  1 15.2  0.521      0.250    0.549
426             JaVale McGee   C  33 DEN 13  1 13.5  0.478      0.000    0.508
427          Rodney McGruder  SG  29 DET 16  2 12.1  0.529      0.458    0.565
428         Alfonzo McKinnie  SF  28 LAL 39  0  6.6  0.516      0.410    0.593
429        Jordan McLaughlin  PG  24 MIN 51  2 18.4  0.413      0.359    0.447
430             Ben McLemore  SG  27 TOT 53  5 17.1  0.370      0.346    0.447
431             Ben McLemore  SG  27 HOU 32  4 16.8  0.357      0.331    0.431
432             Ben McLemore  SG  27 LAL 21  1 17.5  0.390      0.368    0.481
433             Nicolò Melli  PF  30 TOT 45  4 12.6  0.326      0.271    0.411
434             Nicolò Melli  PF  30 NOP 22  0 11.0  0.254      0.189    0.364
435             Nicolò Melli  PF  30 DAL 23  4 14.1  0.378      0.333    0.441
436        De'Anthony Melton  PG  22 MEM 52  1 20.1  0.438      0.412    0.467
437              Sam Merrill  SG  24 MIL 30  2  7.8  0.444      0.447    0.440
438            Chimezie Metu   C  23 SAC 36  6 13.6  0.508      0.351    0.549
439          Khris Middleton  SF  29 MIL 68 68 33.4  0.476      0.414    0.508
440            Darius Miller  SF  30 OKC 18  0 10.9  0.458      0.405    0.833
441              Patty Mills  PG  32 SAS 68  1 24.8  0.412      0.375    0.500
442             Paul Millsap  PF  35 DEN 56 36 20.8  0.476      0.343    0.550
443             Shake Milton  SG  24 PHI 63  4 23.2  0.450      0.350    0.494
444         Donovan Mitchell  PG  24 UTA 53 53 33.4  0.438      0.386    0.476
445              Adam Mokoka  SG  22 CHI 14  0  4.0  0.368      0.100    0.667
446               Malik Monk  SG  22 CHO 42  0 20.9  0.434      0.401    0.471
447            E'Twaun Moore  SG  31 PHO 27  1 14.4  0.455      0.314    0.512
448                Ja Morant  PG  21 MEM 63 63 32.6  0.449      0.303    0.499
449             Juwan Morgan  PF  23 UTA 29  0  5.1  0.467      0.308    0.588
450            Marcus Morris  PF  31 LAC 57 29 26.4  0.473      0.473    0.472
451          Markieff Morris  PF  31 LAL 61 27 19.7  0.405      0.311    0.521
452             Monte Morris  PG  25 DEN 47 13 25.4  0.481      0.381    0.534
453            Mychal Mulder  PG  26 GSW 60  6 12.8  0.449      0.397    0.667
454          Dejounte Murray  PG  24 SAS 67 67 31.9  0.453      0.317    0.488
455             Jamal Murray  PG  23 DEN 48 48 35.5  0.477      0.408    0.523
456             Mike Muscala   C  29 OKC 35  0 18.4  0.446      0.370    0.614
457           Svi Mykhailiuk  SF  23 DET 36  5 17.6  0.377      0.333    0.519
458           Svi Mykhailiuk  SG  23 OKC 30  9 23.0  0.438      0.336    0.543
459              Abdel Nader  SF  27 PHO 24  0 14.8  0.491      0.419    0.534
460          Larry Nance Jr.  PF  28 CLE 35 27 31.2  0.471      0.360    0.551
461            Aaron Nesmith  SF  21 BOS 46  1 14.5  0.438      0.370    0.543
462                Raul Neto  PG  28 WAS 64 22 21.9  0.468      0.390    0.512
463            Georges Niang  PF  27 UTA 72 10 16.0  0.437      0.425    0.469
464               Zeke Nnaji  PF  20 DEN 42  1  9.5  0.481      0.407    0.578
465             Nerlens Noel   C  26 NYK 64 41 24.2  0.614      0.000    0.623
466            Jaylen Nowell  SG  21 MIN 42  0 18.1  0.424      0.333    0.497
467          Frank Ntilikina  PG  22 NYK 33  4  9.8  0.367      0.479    0.194
468            Kendrick Nunn  PG  25 MIA 56 44 29.5  0.485      0.381    0.583
469           James Nunnally  SF  30 NOP  9  0  5.3  0.385      0.333    1.000
470             Jusuf Nurkić   C  26 POR 37 37 23.8  0.514      0.400    0.525
471              David Nwaba  SF  28 HOU 30  9 22.6  0.486      0.270    0.574
472             Jordan Nwora  SF  22 MIL 30  2  9.1  0.459      0.452    0.466
473            Royce O'Neale  SF  27 UTA 71 71 31.6  0.444      0.385    0.586
474             Semi Ojeleye  PF  26 BOS 56 15 17.0  0.403      0.367    0.492
475            Jahlil Okafor   C  25 DET 27  2 12.9  0.618      0.222    0.656
476              Chuma Okeke  PF  22 ORL 45 19 25.2  0.417      0.348    0.470
477              Josh Okogie  SG  22 MIN 59 37 20.3  0.402      0.269    0.500
478           Onyeka Okongwu   C  20 ATL 50  4 12.0  0.644      0.000    0.658
479              Isaac Okoro  SG  20 CLE 67 67 32.4  0.420      0.290    0.501
480                KZ Okpala  PF  21 MIA 37  9 12.1  0.375      0.240    0.522
481           Victor Oladipo  SG  28 TOT 33 33 32.7  0.408      0.326    0.466
482           Victor Oladipo  SG  28 IND  9  9 33.3  0.421      0.362    0.470
483           Victor Oladipo  SG  28 HOU 20 20 33.5  0.407      0.320    0.465
484           Victor Oladipo  SG  28 MIA  4  4 27.8  0.372      0.235    0.462
485           Cameron Oliver  SF  24 HOU  4  0 21.8  0.576      0.308    0.750
486             Kelly Olynyk   C  29 MIA 43 38 26.9  0.431      0.317    0.639
487             Kelly Olynyk  PF  29 HOU 27 24 31.1  0.545      0.392    0.643
488                 Miye Oni  SG  23 UTA 54  0  9.6  0.354      0.341    0.455
489               Cedi Osman  SF  25 CLE 59 26 25.6  0.374      0.306    0.458
490             Daniel Oturu   C  21 LAC 30  0  5.4  0.423      0.200    0.447
491          Kelly Oubre Jr.  SF  25 GSW 55 50 30.7  0.439      0.316    0.519
492            Jabari Parker  PF  25 TOT 13  0 12.7  0.545      0.182    0.636
493            Jabari Parker  PF  25 SAC  3  0  9.0  0.571      0.000    0.667
494            Jabari Parker  PF  25 BOS 10  0 13.8  0.542      0.200    0.632
495            Eric Paschall  PF  24 GSW 40  2 17.4  0.497      0.333    0.533
496         Anžejs Pasečņiks   C  25 WAS  1  0  6.0  0.000      0.000       NA
497        Patrick Patterson  PF  31 LAC 38  5 15.3  0.436      0.357    0.604
498            Justin Patton   C  23 HOU 13  6 19.0  0.414      0.265    0.556
499               Chris Paul  PG  35 PHO 70 70 31.4  0.499      0.395    0.543
500            Cameron Payne  PG  26 PHO 60  1 18.0  0.484      0.440    0.515
501            Elfrid Payton  PG  26 NYK 63 63 23.6  0.432      0.286    0.460
502           Gary Payton II  PG  28 GSW 10  0  4.0  0.769      0.500    0.889
503             Norvel Pelle   C  27 TOT 13  0  6.5  0.533         NA    0.533
504             Norvel Pelle   C  27 BRK  3  0  9.3  0.429         NA    0.429
505             Norvel Pelle   C  27 SAC  1  0  4.0  0.000         NA    0.000
506             Norvel Pelle   C  27 NYK  9  0  5.8  0.714         NA    0.714
507             Reggie Perry  PF  20 BRK 26  0  8.1  0.410      0.190    0.491
508              Theo Pinson  SG  25 NYK 17  0  2.0  0.111      0.000    1.000
509            Mason Plumlee   C  30 DET 56 56 26.8  0.614      0.000    0.626
510             Jakob Poeltl   C  25 SAS 69 51 26.7  0.616         NA    0.616
511          Vincent Poirier   C  27 PHI 10  0  3.9  0.250      0.000    0.273
512       Aleksej Pokusevski  PF  19 OKC 45 28 24.2  0.341      0.280    0.403
513             Jordan Poole  SG  21 GSW 51  7 19.4  0.432      0.351    0.545
514            Jontay Porter  PF  21 MEM 11  0  4.9  0.533      0.375    0.714
515         Kevin Porter Jr.  SG  20 HOU 26 23 32.1  0.425      0.311    0.515
516       Michael Porter Jr.  SF  22 DEN 61 54 31.3  0.542      0.445    0.628
517          Otto Porter Jr.  SF  27 CHI 25  6 21.6  0.441      0.400    0.477
518          Otto Porter Jr.  PF  27 ORL  3  0 22.0  0.360      0.111    0.500
519             Bobby Portis   C  25 MIL 66  7 20.8  0.523      0.471    0.542
520       Kristaps Porziņģis   C  25 DAL 43 43 30.9  0.476      0.376    0.536
521            Dwight Powell   C  29 DAL 58 19 16.7  0.619      0.238    0.665
522            Norman Powell  SG  27 TOR 42 31 30.4  0.498      0.439    0.552
523            Norman Powell  SF  27 POR 27 27 34.4  0.443      0.361    0.502
524           Taurean Prince  PF  26 TOT 41 10 22.1  0.401      0.400    0.401
525           Taurean Prince  PF  26 BRK 12  4 18.2  0.405      0.351    0.459
526           Taurean Prince  PF  26 CLE 29  6 23.7  0.399      0.415    0.385
527         Payton Pritchard  SG  23 BOS 66  4 19.2  0.440      0.411    0.482
528        Immanuel Quickley  PG  21 NYK 64  3 19.4  0.395      0.389    0.401
529          Jahmi'us Ramsey  SG  19 SAC 13  0  7.2  0.395      0.263    0.526
530           Chasson Randle  PG  27 ORL 41  5 20.4  0.388      0.338    0.449
531            Julius Randle  PF  26 NYK 71 71 37.6  0.456      0.411    0.474
532              Cam Reddish  SF  21 ATL 26 21 28.8  0.365      0.262    0.460
533              J.J. Redick  SG  36 TOT 44  0 16.4  0.397      0.371    0.449
534              J.J. Redick  SG  36 NOP 31  0 18.6  0.407      0.364    0.486
535              J.J. Redick  SG  36 DAL 13  0 11.3  0.358      0.395    0.267
536                Paul Reed  PF  21 PHI 26  0  6.8  0.538      0.000    0.583
537                 Naz Reid   C  21 MIN 70 15 19.2  0.523      0.351    0.597
538         Cameron Reynolds  SF  25 TOT  5  0  8.0  0.333      0.250    0.500
539         Cameron Reynolds  SF  25 SAS  3  0  2.0  0.500         NA    0.500
540         Cameron Reynolds  SF  25 HOU  2  0 17.0  0.313      0.250    0.500
541            Nick Richards  PF  23 CHO 18  0  3.5  0.444      0.000    0.500
542          Josh Richardson  SG  27 DAL 59 56 30.3  0.427      0.330    0.501
543             Grant Riller  PG  23 CHO  7  0  3.9  0.667      0.500    0.750
544            Austin Rivers  SG  28 TOT 36  7 23.5  0.424      0.369    0.510
545            Austin Rivers  SG  28 NYK 21  2 21.0  0.430      0.364    0.517
546            Austin Rivers  SG  28 DEN 15  5 26.9  0.418      0.375    0.500
547           Andre Roberson  SG  29 BRK  5  0 12.6  0.143      0.125    0.167
548          Duncan Robinson  SF  26 MIA 72 72 31.4  0.439      0.408    0.625
549       Glenn Robinson III  SF  27 SAC 23  2 16.0  0.424      0.364    0.473
550          Jerome Robinson  SG  23 WAS 17  6 17.9  0.295      0.262    0.321
551          Justin Robinson  PG  23 OKC  9  0  9.8  0.333      0.286    0.429
552        Mitchell Robinson   C  22 NYK 31 29 27.5  0.653         NA    0.653
553              Isaiah Roby  PF  22 OKC 61 34 23.4  0.483      0.294    0.547
554              Rajon Rondo  PG  34 TOT 45  3 17.1  0.442      0.404    0.468
555              Rajon Rondo  PG  34 ATL 27  2 14.9  0.400      0.378    0.415
556              Rajon Rondo  PG  34 LAC 18  1 20.4  0.486      0.432    0.525
557             Derrick Rose  PG  32 TOT 50  3 25.6  0.470      0.388    0.492
558             Derrick Rose  PG  32 DET 15  0 22.8  0.429      0.333    0.455
559             Derrick Rose  PG  32 NYK 35  3 26.8  0.487      0.411    0.507
560            Terrence Ross  SG  29 ORL 46  2 29.3  0.412      0.337    0.469
561             Terry Rozier  SG  26 CHO 69 69 34.5  0.450      0.389    0.512
562              Ricky Rubio  PG  30 MIN 68 51 26.1  0.388      0.308    0.447
563         D'Angelo Russell  PG  24 MIN 42 26 28.5  0.431      0.387    0.471
564         Domantas Sabonis  PF  24 IND 62 62 36.0  0.535      0.321    0.582
565             Luka Šamanić  PF  21 SAS 33  4  9.3  0.448      0.279    0.565
566           JaKarr Sampson  PF  27 IND 29  4 10.9  0.496      0.200    0.541
567              Dario Šarić   C  26 PHO 50  4 17.4  0.447      0.348    0.512
568         Tomáš Satoranský  SG  29 CHI 58 18 22.5  0.514      0.356    0.602
569          Dennis Schröder  SG  27 LAL 61 61 32.1  0.437      0.335    0.476
570               Mike Scott  PF  32 PHI 51 12 16.7  0.360      0.342    0.411
571               Jay Scrubb  SG  20 LAC  4  1 21.0  0.389      0.222    0.444
572            Collin Sexton  SG  22 CLE 60 60 35.3  0.475      0.371    0.508
573            Landry Shamet  SG  23 BRK 61 12 23.0  0.408      0.387    0.463
574            Iman Shumpert  SG  30 BRK  2  0  5.5  0.250      0.000    1.000
575            Pascal Siakam  PF  26 TOR 56 56 35.8  0.455      0.297    0.509
576              Chris Silva  PF  24 TOT 15  0  6.1  0.625      1.000    0.600
577              Chris Silva  PF  24 MIA 11  0  7.5  0.692      1.000    0.667
578              Chris Silva  PF  24 SAC  4  0  2.3  0.333         NA    0.333
579              Ben Simmons  PG  24 PHI 58 58 32.4  0.557      0.300    0.562
580          Anfernee Simons  SG  21 POR 64  0 17.3  0.419      0.426    0.403
581        Deividas Sirvydis  SG  20 DET 20  0  6.7  0.350      0.357    0.333
582           Alen Smailagić  PF  20 GSW 15  1  5.6  0.407      0.400    0.412
583             Marcus Smart  PG  26 BOS 48 45 32.9  0.398      0.330    0.482
584         Dennis Smith Jr.  PG  23 TOT 23  9 18.3  0.400      0.328    0.448
585         Dennis Smith Jr.  PG  23 NYK  3  0  9.3  0.200      0.000    0.333
586         Dennis Smith Jr.  PG  23 DET 20  9 19.6  0.415      0.352    0.457
587                Ish Smith  PG  32 WAS 44  1 21.0  0.434      0.367    0.448
588              Jalen Smith  PF  20 PHO 27  1  5.8  0.440      0.235    0.545
589               Tony Snell  SG  29 ATL 47 23 21.1  0.515      0.569    0.419
590             Ray Spalding   C  23 HOU  2  0  9.5  0.500      0.000    0.667
591          Cassius Stanley  SG  21 IND 24  0  3.9  0.302      0.231    0.333
592            Lamar Stevens  PF  23 CLE 40  0 12.5  0.456      0.160    0.523
593           Isaiah Stewart   C  19 DET 68 14 21.4  0.553      0.333    0.592
594                Max Strus  SF  24 MIA 39  0 13.0  0.455      0.338    0.897
595            Edmond Sumner  SG  25 IND 53 24 16.2  0.525      0.398    0.582
596            Jae'Sean Tate  SF  25 HOU 70 58 29.2  0.506      0.308    0.595
597             Jayson Tatum  SF  22 BOS 64 64 35.8  0.459      0.386    0.502
598              Jeff Teague  PG  32 TOT 55  7 17.3  0.433      0.439    0.431
599              Jeff Teague  PG  32 BOS 34  5 18.1  0.415      0.464    0.394
600              Jeff Teague  PG  32 MIL 21  2 15.9  0.469      0.385    0.500
601           Garrett Temple  SG  34 CHI 56 25 27.3  0.415      0.335    0.503
602             Tyrell Terry  PG  20 DAL 11  0  5.1  0.313      0.000    0.556
603             Daniel Theis   C  28 TOT 65 51 24.6  0.541      0.322    0.646
604             Daniel Theis   C  28 BOS 42 37 24.5  0.552      0.347    0.653
605             Daniel Theis   C  28 CHI 23 14 25.0  0.522      0.281    0.636
606           Brodric Thomas  SG  24 TOT 32  1 12.5  0.361      0.271    0.469
607           Brodric Thomas  SG  24 HOU  4  0  6.0  0.286      0.167    1.000
608           Brodric Thomas  SG  24 CLE 28  1 13.4  0.366      0.283    0.458
609            Isaiah Thomas  PG  31 NOP  3  0 16.0  0.333      0.250    0.400
610             Khyri Thomas  SG  24 HOU  5  2 30.6  0.485      0.333    0.590
611              Matt Thomas  SG  26 TOT 45  0  7.2  0.394      0.338    0.489
612              Matt Thomas  SG  26 TOR 26  0  7.4  0.387      0.415    0.333
613              Matt Thomas  SG  26 UTA 19  0  7.1  0.400      0.256    0.615
614         Tristan Thompson  PF  29 BOS 54 43 23.8  0.518      0.000    0.523
615      Sindarius Thornwell  SG  26 TOT 21  1 10.3  0.326      0.304    0.348
616      Sindarius Thornwell  SG  26 NOP 14  1  5.2  0.333      0.333    0.333
617      Sindarius Thornwell  SG  26 ORL  7  0 20.6  0.320      0.286    0.364
618         Matisse Thybulle  SG  23 PHI 65  8 20.0  0.420      0.301    0.590
619           Killian Tillie   C  22 MEM 18  1 10.1  0.333      0.303    0.375
620       Xavier Tillman Sr.  PF  22 MEM 59 12 18.4  0.559      0.338    0.620
621         Anthony Tolliver  PF  35 PHI 11  0  9.0  0.235      0.286    0.000
622               Obi Toppin  PF  22 NYK 62  0 11.0  0.498      0.306    0.629
623    Juan Toscano-Anderson  SG  27 GSW 53 16 20.9  0.579      0.402    0.718
624             Axel Toupane  SF  28 MIL  8  1  7.6  0.364      0.500    0.333
625       Karl-Anthony Towns   C  25 MIN 50 50 33.8  0.486      0.387    0.541
626           Gary Trent Jr.  SG  22 TOT 58 38 31.1  0.408      0.385    0.435
627           Gary Trent Jr.  SG  22 POR 41 23 30.8  0.414      0.397    0.438
628           Gary Trent Jr.  SG  22 TOR 17 15 31.8  0.395      0.355    0.431
629              P.J. Tucker  PF  35 TOT 52 33 26.1  0.373      0.336    0.448
630              P.J. Tucker  PF  35 HOU 32 32 30.0  0.366      0.314    0.467
631              P.J. Tucker  PF  35 MIL 20  1 19.9  0.391      0.394    0.385
632            Rayjon Tucker  PG  23 PHI 14  0  4.9  0.500      0.286    0.636
633             Myles Turner   C  24 IND 47 47 31.0  0.477      0.335    0.606
634        Jonas Valančiūnas   C  28 MEM 62 61 28.3  0.592      0.368    0.611
635         Denzel Valentine  SG  27 CHI 62  3 16.7  0.373      0.331    0.431
636        Jarred Vanderbilt  PF  21 MIN 64 30 17.8  0.606      0.200    0.615
637            Fred VanVleet  SG  26 TOR 52 52 36.5  0.389      0.366    0.416
638         Anderson Varejão   C  38 CLE  5  0  7.2  0.250      0.000    0.267
639            Devin Vassell  SF  20 SAS 62  7 17.0  0.406      0.347    0.464
640             Gabe Vincent  PG  24 MIA 50  7 13.1  0.378      0.309    0.500
641              Noah Vonleh   C  25 BRK  4  0  2.8  0.000      0.000    0.000
642           Nikola Vučević   C  30 TOT 70 70 33.5  0.477      0.400    0.513
643           Nikola Vučević   C  30 ORL 44 44 34.1  0.480      0.406    0.515
644           Nikola Vučević   C  30 CHI 26 26 32.6  0.471      0.388    0.509
645                Dean Wade  PF  24 CLE 63 19 19.2  0.431      0.366    0.571
646            Moritz Wagner   C  23 TOT 45 24 16.0  0.454      0.341    0.529
647            Moritz Wagner   C  23 WAS 25 13 15.0  0.508      0.310    0.613
648            Moritz Wagner   C  23 BOS  9  1  6.8  0.286      0.333    0.250
649            Moritz Wagner   C  23 ORL 11 10 26.0  0.409      0.372    0.440
650             Kemba Walker  PG  30 BOS 43 43 31.8  0.420      0.360    0.486
651         Lonnie Walker IV  SG  22 SAS 60 38 25.4  0.420      0.355    0.477
652                John Wall  PG  30 HOU 40 40 32.2  0.404      0.317    0.449
653           Brad Wanamaker  PG  31 TOT 61  0 17.3  0.385      0.188    0.463
654           Brad Wanamaker  PG  31 GSW 39  0 16.0  0.353      0.213    0.429
655           Brad Wanamaker  PG  31 CHO 22  0 19.5  0.429      0.125    0.500
656              T.J. Warren  SF  27 IND  4  4 29.3  0.529      0.000    0.614
657          P.J. Washington  PF  22 CHO 64 61 30.5  0.440      0.386    0.480
658            Yuta Watanabe  SF  26 TOR 50  4 14.5  0.439      0.400    0.478
659           Tremont Waters  PG  23 BOS 26  3  9.2  0.405      0.395    0.413
660              Paul Watson  SF  26 TOR 27  2 11.0  0.463      0.469    0.444
661   Quinndary Weatherspoon  SG  24 SAS 20  0  6.1  0.457      0.167    0.517
662        Russell Westbrook  PG  32 WAS 65 65 36.4  0.439      0.315    0.475
663               Coby White  PG  20 CHI 69 54 31.2  0.416      0.359    0.473
664            Derrick White  SG  26 SAS 36 32 29.6  0.411      0.346    0.486
665         Hassan Whiteside   C  31 SAC 36  4 15.2  0.563      0.000    0.565
666         Greg Whittington  PF  27 DEN  4  0  3.0  0.000      0.000    0.000
667           Andrew Wiggins  PF  25 GSW 71 71 33.3  0.477      0.380    0.529
668           Grant Williams  PF  22 BOS 63  9 18.1  0.437      0.372    0.508
669         Kenrich Williams  PF  26 OKC 66 13 21.6  0.533      0.444    0.568
670             Lou Williams  PG  34 TOT 66  4 21.6  0.410      0.399    0.414
671             Lou Williams  PG  34 LAC 42  3 21.9  0.421      0.378    0.437
672             Lou Williams  PG  34 ATL 24  1 21.0  0.389      0.444    0.370
673         Patrick Williams  PF  19 CHI 71 71 27.9  0.483      0.391    0.515
674          Robert Williams   C  23 BOS 52 13 18.9  0.721      0.000    0.727
675          Zion Williamson  PF  20 NOP 61 61 33.2  0.611      0.294    0.622
676              D.J. Wilson  PF  24 TOT 35  1 12.4  0.405      0.345    0.469
677              D.J. Wilson  PF  24 MIL 12  0  8.8  0.372      0.357    0.400
678              D.J. Wilson  PF  24 HOU 23  1 14.3  0.416      0.339    0.485
679            Dylan Windler  SF  24 CLE 31  0 16.5  0.438      0.338    0.585
680          Justise Winslow  SF  24 MEM 26  1 19.5  0.352      0.185    0.410
681          Cassius Winston  PG  22 WAS 22  0  4.5  0.424      0.471    0.375
682            James Wiseman   C  19 GSW 39 27 21.4  0.519      0.316    0.542
683           Christian Wood   C  25 HOU 41 41 32.3  0.514      0.374    0.581
684        Robert Woodard II  SF  21 SAC 13  0  3.5  0.400      0.167    0.500
685             Delon Wright  SG  28 DET 36 31 29.2  0.464      0.348    0.515
686             Delon Wright  PG  28 SAC 27  8 25.8  0.462      0.398    0.500
687           Thaddeus Young  PF  32 CHI 68 23 24.3  0.559      0.267    0.580
688               Trae Young  PG  22 ATL 63 63 33.7  0.438      0.343    0.491
689              Cody Zeller   C  28 CHO 48 21 20.9  0.559      0.143    0.598
690              Ivica Zubac   C  23 LAC 72 33 22.3  0.652      0.250    0.656
    efg_pct ft_pct ORB  DRB  TRB  AST STL BLK TOV  PF  PTS
1     0.544  0.509 1.2  2.2  3.4  0.5 0.3 0.5 0.7 1.5  5.0
2     0.125     NA 0.0  0.4  0.4  0.3 0.0 0.0 0.0 0.1  0.3
3     0.614  0.444 3.7  5.2  8.9  1.9 0.9 0.7 1.3 1.9  7.6
4     0.571  0.799 2.2  6.7  9.0  5.4 1.2 1.0 2.6 2.3 18.7
5     0.525  0.872 0.7  3.8  4.5  1.9 0.4 1.1 1.0 1.8 13.5
6     0.518  0.838 0.8  3.7  4.5  1.7 0.4 0.9 1.0 1.7 13.7
7     0.563  1.000 0.4  4.4  4.8  2.6 0.6 2.2 1.4 2.2 12.8
8     0.333  0.500 0.1  0.5  0.7  0.4 0.0 0.1 0.2 0.1  0.6
9     0.502  0.727 0.3  2.8  3.1  2.2 1.0 0.5 1.5 1.9 11.0
10    0.547  0.868 0.4  2.8  3.2  2.2 0.9 0.2 1.0 1.4 10.6
11    0.624  0.703 3.1  6.9 10.0  1.7 0.5 1.4 1.6 1.5 12.8
12    0.677  0.754 3.2  7.3 10.4  1.7 0.6 1.6 1.8 1.8 11.2
13    0.616  0.690 3.1  6.8  9.9  1.7 0.5 1.4 1.5 1.5 13.2
14    0.424  0.818 1.0  3.8  4.8  1.3 0.8 0.4 1.2 1.3  4.4
15    0.444  0.824 1.2  4.2  5.4  1.7 1.0 0.5 1.5 1.3  5.5
16    0.250  0.800 0.3  2.8  3.2  0.3 0.3 0.0 0.5 1.2  1.5
17    0.540  0.783 0.8  5.0  5.7  3.6 1.2 0.8 1.2 1.7 12.4
18    0.600  0.685 1.6  9.4 11.0  5.9 1.2 1.2 3.4 2.8 28.1
19    0.300  0.462 0.3  1.0  1.3  0.1 0.1 0.3 0.7 0.5  0.8
20    0.515  0.510 0.9  1.2  2.2  0.8 0.4 0.2 0.8 1.3  2.9
21    0.506  0.890 0.5  2.6  3.1  1.5 0.7 0.6 0.9 2.1 13.4
22    0.449  0.832 0.8  3.9  4.7  4.1 0.6 0.4 2.3 2.1 12.9
23    0.580  0.784 1.3  4.3  5.5  2.2 1.5 0.7 1.7 2.7 15.9
24    0.526  0.650 0.1  1.4  1.5  1.3 0.2 0.0 0.2 1.1  3.1
25    0.515  0.773 0.9  3.9  4.8  1.8 1.0 0.6 0.7 1.8  9.4
26    0.515  0.904 0.4  1.3  1.6  3.3 0.5 0.0 1.1 1.0  7.7
27    0.497  0.900 0.3  1.1  1.4  3.0 0.5 0.0 0.9 0.9  6.1
28    0.536  0.907 0.5  1.8  2.2  3.9 0.4 0.0 1.6 1.2 10.6
29    0.502  0.644 0.4  4.4  4.9  1.2 0.6 0.3 0.6 2.6  6.3
30    0.629  0.769 3.3  7.2 10.5  1.4 0.6 1.2 1.5 2.8 14.4
31    0.444  0.800 0.3  0.6  0.9  0.0 0.1 0.3 0.2 0.6  1.1
32    0.443  0.824 0.4  2.7  3.1  1.3 0.6 0.1 0.6 1.4 10.9
33    0.542  0.575 2.5  4.9  7.4  1.0 0.5 0.5 1.4 2.3 14.1
34    0.504  0.758 1.2  4.7  5.9  6.1 1.6 0.4 2.8 2.7 15.7
35    0.537  0.781 0.6  4.2  4.8  5.7 1.5 0.6 2.2 1.9 14.6
36    0.535  0.682 1.7  4.1  5.8  0.8 0.3 1.3 0.8 1.9  8.0
37    0.586  0.816 0.5  2.6  3.1  1.7 0.6 0.2 0.9 1.8  9.2
38    0.575  0.830 1.1  5.5  6.6  3.5 0.7 0.2 1.6 1.3 16.1
39    0.499  0.746 0.9  4.8  5.8  3.0 0.7 0.3 1.9 2.6 17.6
40    0.507  0.785 0.7  3.3  4.0  3.2 0.9 0.4 1.7 1.7 12.7
41    0.485  0.667 0.3  1.3  1.6  0.4 0.4 0.2 0.2 0.4  2.6
42    0.597  0.828 0.7  4.0  4.7  2.2 1.0 0.6 0.8 1.5  8.1
43    0.485  0.707 1.6  3.5  5.2  0.9 0.3 0.4 0.9 2.2  6.1
44    0.545  0.692 0.4  3.0  3.4  1.6 1.0 0.5 1.2 2.4  7.2
45    0.456  0.702 0.9  6.3  7.2  1.8 0.5 0.5 2.2 1.1 13.7
46    0.532  0.889 1.2  3.5  4.7  4.4 1.2 0.4 3.1 2.3 31.3
47    0.547  0.850 0.8  3.6  4.4  2.4 0.8 0.2 1.6 1.7 19.6
48    0.318  0.500 1.2  2.8  4.0  1.2 0.5 0.8 0.7 1.2  2.5
49    0.350     NA 1.2  2.6  3.8  1.0 0.6 0.6 0.6 1.0  2.8
50    0.000  0.500 1.0  4.0  5.0  2.0 0.0 2.0 1.0 2.0  1.0
51    0.544  0.682 0.6  2.2  2.9  2.1 1.0 0.4 1.4 1.7  5.7
52    0.581  0.870 0.3  2.6  2.9  0.9 0.6 0.2 0.6 2.4 11.5
53    0.550  0.800 0.8  2.4  3.2  2.1 0.8 0.8 0.9 2.9  7.5
54    0.530  0.844 0.6  3.9  4.5  1.4 0.7 0.2 0.9 1.6 12.2
55    0.341  0.600 0.4  0.6  1.1  0.2 0.0 0.1 0.2 0.3  1.0
56    0.514  0.705 2.6  3.2  5.8  1.3 0.7 0.7 0.7 1.7  7.2
57    0.459  0.741 2.4  2.6  5.1  1.1 0.7 0.6 0.5 1.4  5.3
58    0.582  0.636 3.0  4.6  7.6  1.9 0.8 1.2 1.1 2.4 11.9
59    0.479  0.738 1.3  2.0  3.3  0.8 0.2 1.3 0.4 2.1  5.1
60    0.587  0.448 2.1  3.2  5.3  1.2 0.3 1.1 1.1 2.1  5.0
61    0.523  0.725 0.8  2.6  3.4  1.9 0.4 0.1 0.9 1.8  6.5
62    0.517  0.762 0.9  2.9  3.8  1.9 0.3 0.1 1.1 1.8  7.2
63    0.543  0.556 0.5  2.0  2.5  1.8 0.6 0.3 0.5 1.8  5.0
64    0.503  0.687 0.4  3.0  3.4  3.8 0.8 0.3 1.6 1.6 12.2
65    0.300     NA 0.2  0.4  0.6  0.2 0.1 0.0 0.3 0.5  0.7
66    0.602  0.909 0.5  3.2  3.6  3.3 1.1 0.3 1.2 2.3 16.4
67    0.536  0.879 0.6  3.3  3.9  1.9 0.6 0.1 1.8 1.6 17.0
68    0.509  0.667 0.0  0.8  0.8  0.2 0.1 0.3 0.4 0.4  2.2
69    0.333  0.625 0.5  0.5  1.0  0.0 0.3 0.3 0.3 0.0  1.2
70    0.519     NA 0.3  1.4  1.7  1.3 0.1 0.0 0.2 0.8  4.0
71    0.451  0.625 0.5  1.2  1.7  0.6 0.3 0.2 0.6 1.6  2.0
72    0.533  0.867 0.5  3.7  4.2  4.3 0.8 0.2 3.1 2.7 25.6
73    0.595  0.788 2.0  4.8  6.7  1.1 0.6 1.9 0.8 2.8 13.6
74    0.250  1.000 0.0  0.5  0.5  0.0 0.0 0.0 0.0 0.2  0.5
75    0.471  0.800 0.3  1.8  2.1  1.7 0.8 0.1 1.0 2.0  6.4
76    0.591  0.778 0.2  1.6  1.8  1.4 0.7 0.1 0.9 2.6  8.5
77    0.395  0.833 0.4  1.9  2.3  1.9 0.8 0.1 1.1 1.7  5.2
78    0.665  0.691 2.0  3.7  5.7  0.9 0.4 0.7 0.8 1.5  7.1
79    0.680  0.636 2.0  3.3  5.2  0.9 0.3 0.7 0.3 1.4  5.5
80    0.656  0.705 2.1  4.0  6.1  0.9 0.4 0.8 1.2 1.5  8.7
81    0.596  1.000 0.3  0.6  1.0  0.5 0.3 0.1 0.3 0.6  2.3
82    0.488  0.714 0.8  2.6  3.5  1.3 0.3 0.2 0.9 1.7  7.0
83    0.000  1.000 0.3  0.3  0.5  0.3 0.0 0.0 0.3 0.0  0.5
84    0.000     NA 0.0  2.0  2.0  0.0 0.0 0.0 0.0 0.0  0.0
85    0.513  0.667 1.3  3.9  5.1  2.0 0.5 0.4 1.4 2.8 11.1
86    0.643  0.840 1.1  3.2  4.3  2.1 1.1 0.9 0.8 1.6 13.5
87    0.596  0.867 1.2  4.8  6.0  2.2 0.7 0.8 1.6 2.2 12.7
88    0.625  1.000 0.4  1.2  1.6  0.2 0.0 1.0 0.8 0.8  2.6
89    0.593  0.769 1.4  4.1  5.5  0.9 0.9 1.0 0.5 1.5 10.9
90    0.527  0.864 1.0  4.2  5.3  5.9 0.9 0.3 2.1 2.0 21.2
91    0.563  0.583 0.5  2.9  3.4  1.5 0.6 0.3 1.1 1.7 11.2
92    0.481  0.815 0.8  2.1  2.9  2.3 1.2 0.4 1.8 3.5 17.2
93    0.576  0.735 1.7  3.7  5.4  1.6 0.9 0.4 0.8 2.2  8.8
94    0.360  0.900 0.3  1.6  1.9  1.0 0.4 0.2 0.7 2.1  4.4
95    0.558  0.764 1.2  4.8  6.0  3.4 1.2 0.6 2.7 2.9 24.7
96    0.545  0.619 3.6  5.3  8.9  0.2 0.7 1.1 1.0 2.2  8.6
97    0.584  0.806 0.7  3.6  4.4  1.4 0.7 0.2 0.8 1.9  8.2
98    0.507  0.714 0.6  2.5  3.1  0.9 0.3 0.2 0.6 1.4  4.7
99    0.449  0.667 0.5  2.4  2.9  0.9 0.1 0.2 0.8 1.4  4.3
100   0.600  0.833 0.7  2.7  3.4  0.8 0.5 0.2 0.4 1.5  5.5
101   0.588  0.795 0.4  3.0  3.4  3.5 0.5 0.0 1.2 1.6 12.6
102   0.500  1.000 2.0  4.0  6.0  3.0 0.0 1.0 4.0 4.0 16.0
103   0.698  0.667 1.8  4.3  6.1  1.5 0.4 0.8 1.1 3.1 14.3
104   0.587  0.909 0.2  3.2  3.4  1.5 0.8 0.2 0.7 2.2 10.9
105   0.510  0.895 0.2  0.7  0.9  1.3 0.6 0.1 0.5 1.0  6.6
106   0.522  0.856 0.4  4.2  4.6  2.2 0.6 0.3 1.0 2.1 12.7
107   0.514  0.863 1.8  5.1  6.9  7.1 2.1 0.3 2.1 1.4 21.5
108   0.471  0.500 0.5  1.8  2.3  0.2 0.0 0.3 0.7 1.0  2.8
109   0.586  0.455 0.6  1.0  1.6  0.1 0.3 0.2 0.3 0.4  2.0
110   0.549  0.866 0.4  2.3  2.7  1.9 0.9 0.4 1.0 1.7  9.7
111   0.502  0.879 0.3  1.7  2.1  3.6 1.2 0.2 1.1 2.0  6.1
112   0.521  0.769 0.3  1.0  1.2  0.3 0.3 0.0 0.3 0.4  2.1
113   0.500  0.857 0.0  0.6  0.6  0.1 0.6 0.1 0.3 1.1  4.3
114   0.594  0.573 4.7  9.6 14.3  0.8 0.7 2.0 1.2 2.3 15.2
115   0.514  0.818 0.3  1.1  1.4  0.1 0.1 0.3 0.3 0.7  2.4
116   0.547  0.571 0.3  1.3  1.5  1.2 0.5 0.2 0.3 0.9  4.1
117   0.520  0.732 2.4  5.8  8.2  1.9 0.6 0.8 1.4 2.7 11.2
118   0.528  0.739 2.2  5.6  7.8  2.2 0.6 0.8 1.5 3.0 10.9
119   0.510  0.721 2.8  6.0  8.8  1.6 0.8 0.8 1.3 2.3 11.7
120   0.417  0.613 1.3  3.2  4.5  4.2 0.8 0.5 2.2 2.6  8.8
121   0.526  0.645 0.5  2.4  2.9  2.8 1.1 0.3 1.3 1.9  6.4
122   0.635  0.628 1.2  3.2  4.5  0.7 0.4 0.8 0.5 2.4  5.3
123   0.426  0.765 0.1  1.0  1.1  3.0 0.3 0.3 0.7 0.9  4.0
124   0.393  0.500 1.5  5.0  6.5  1.0 0.0 1.0 1.0 1.5  6.5
125   0.424  0.800 0.9  2.3  3.2  0.9 0.3 0.2 0.5 1.0  3.4
126      NA     NA 0.0  0.5  0.5  0.0 0.0 0.0 0.0 0.0  0.0
127   0.000     NA 0.0  1.0  1.0  0.5 0.5 0.0 0.0 0.5  0.0
128   0.537  0.690 1.6  3.9  5.6  1.6 1.0 0.9 0.6 1.4 10.3
129   0.522  0.896 0.7  3.3  4.0  2.5 0.9 0.1 1.7 1.6 18.4
130   0.624  0.484 1.3  3.8  5.2  0.9 0.7 1.3 0.6 2.1  6.6
131   0.549  0.711 0.2  0.8  1.0  0.5 0.2 0.0 0.3 0.7  3.2
132   0.610  0.833 1.9  5.5  7.4  1.2 0.5 1.0 1.3 3.1 17.6
133   0.552  0.852 0.7  2.8  3.5  6.0 1.4 0.2 1.9 1.9 16.2
134   0.565  0.775 0.9  3.9  4.8  1.2 0.7 0.3 0.5 1.4  6.8
135   0.507  0.875 0.1  0.7  0.7  0.8 0.2 0.0 0.3 0.4  3.3
136   0.558  0.800 0.0  0.3  0.3  0.3 0.1 0.1 0.2 0.1  2.1
137   0.476  1.000 0.3  1.4  1.7  1.9 0.4 0.0 0.6 1.1  6.1
138   0.333     NA 0.3  0.3  0.5  0.5 0.0 0.0 0.3 0.5  0.5
139   0.685  0.486 1.0  2.4  3.3  0.5 0.3 0.1 0.7 1.2  5.5
140   0.503  0.728 1.3  5.1  6.4  1.9 0.8 0.6 1.6 2.6  8.9
141   0.469  0.746 1.2  6.4  7.6  2.4 0.8 0.7 1.6 3.0  9.6
142   0.579  0.682 1.4  3.1  4.5  1.0 0.8 0.4 1.6 2.1  7.8
143   0.533  0.806 0.9  5.8  6.7  1.7 1.4 1.2 0.9 2.8  8.5
144   0.566  0.773 1.1  2.8  3.9  1.0 0.6 0.5 0.5 1.7  5.5
145   0.478  0.500 0.7  1.7  2.4  0.9 0.5 0.4 0.3 1.3  2.5
146   0.588  0.800 1.4  3.4  4.8  1.0 0.6 0.6 0.6 1.8  7.2
147   0.555  0.760 0.5  4.2  4.7  2.1 0.8 0.5 0.9 2.1 10.1
148   0.449  0.604 1.0  2.1  3.1  0.7 0.5 0.3 0.8 1.7  5.3
149   0.582  0.896 0.2  2.2  2.4  2.7 0.8 0.1 1.1 1.7 12.5
150   0.605  0.916 0.5  5.0  5.5  5.8 1.2 0.1 3.4 1.9 32.0
151   0.429  1.000 0.1  0.0  0.1  0.1 0.0 0.1 0.1 0.1  1.3
152   0.512  0.738 1.7  6.2  7.9  3.1 1.3 1.6 2.1 1.7 21.8
153   0.432  0.833 2.0  3.0  5.0  0.9 0.6 0.6 0.3 2.4  2.1
154   0.535  0.818 0.3  2.2  2.5  1.4 0.7 0.2 1.0 1.6  8.7
155   0.519  0.889 0.3  1.7  1.9  1.1 0.5 0.2 0.9 1.4  6.9
156   0.549  0.784 0.4  2.9  3.3  1.7 1.0 0.3 1.3 1.8 11.1
157   0.493  0.818 1.6  2.4  4.0  2.4 0.8 0.0 0.6 0.9  8.4
158   0.715  0.741 1.8  3.6  5.4  0.8 0.6 0.4 0.8 2.3  7.1
159   0.286  1.000 0.5  1.4  1.8  4.5 0.3 0.1 0.5 1.6  2.8
160   0.505  0.880 0.7  3.6  4.2  6.9 0.9 0.2 2.0 2.1 21.6
161   0.413  0.786 0.6  1.9  2.4  0.6 0.5 0.4 0.2 1.1  3.1
162   0.502  0.629 1.2  4.0  5.2  2.4 1.0 0.4 1.5 2.6 11.9
163   0.514  0.662 1.1  4.3  5.4  1.2 0.5 0.6 1.4 2.6 11.2
164   0.613  0.866 1.1  2.6  3.7  1.3 0.7 0.4 0.8 1.5  6.8
165   0.625  0.884 1.3  3.2  4.5  1.3 0.8 0.6 1.0 1.7  7.9
166   0.591  0.833 0.8  1.9  2.6  1.2 0.6 0.1 0.6 1.1  5.3
167   0.438  1.000 0.0  4.3  4.3  3.0 0.7 0.3 1.7 1.3  6.7
168   0.528  0.718 1.2  4.5  5.8  3.1 1.1 0.2 1.4 1.7 10.4
169   0.550  0.730 0.8  7.2  8.0  8.6 1.0 0.5 4.3 2.3 27.7
170   0.475  0.744 0.7  2.9  3.6  1.7 0.9 0.4 1.5 2.6 14.0
171   0.485  0.667 0.1  1.9  2.0  2.0 0.3 0.1 0.9 0.9  6.7
172   0.548     NA 0.2  0.3  0.5  0.6 0.4 0.0 0.0 0.3  2.1
173   0.426  0.703 0.7  1.9  2.6  0.8 0.4 0.2 0.8 1.7  5.1
174   0.483  0.636 0.7  2.9  3.6  1.8 0.6 0.4 0.9 1.7  7.7
175   0.514  0.828 0.5  2.9  3.4  4.4 0.7 0.2 2.4 2.3 13.4
176   0.493  0.600 3.6  8.4 12.0  2.0 1.4 1.1 2.7 3.2 14.9
177   0.474  0.597 4.0  9.4 13.5  2.6 1.6 1.2 3.2 2.8 17.5
178   0.531  0.605 3.1  7.1 10.2  1.4 1.1 1.0 2.0 3.8 11.9
179   0.333     NA 0.3  1.4  1.8  0.4 0.1 0.1 0.2 0.6  0.5
180   0.083  0.750 0.0  1.5  1.5  0.5 0.5 0.5 0.8 2.5  1.3
181   0.608  0.882 0.4  6.7  7.1  5.6 0.7 1.3 3.4 2.0 26.9
182   0.488  0.776 0.8  3.8  4.7  2.9 1.1 0.5 2.2 1.8 19.3
183   0.505  0.846 0.1  0.7  0.8  0.5 0.2 0.0 0.2 0.8  4.0
184   0.432  0.733 0.4  0.7  1.1  0.3 0.2 0.1 0.2 0.9  2.3
185   0.429  0.750 1.5  4.5  6.0  2.5 0.0 0.0 0.0 3.5  7.5
186   0.612  0.800 0.3  1.6  1.8  1.5 0.4 0.2 0.7 1.3  9.6
187   0.545  0.859 2.2  8.4 10.6  2.8 1.0 1.4 3.1 2.4 28.5
188   0.566  0.805 1.0  3.0  4.0  1.5 0.8 0.2 0.9 2.0  8.4
189   0.571  0.726 1.4  3.1  4.5  0.8 0.3 0.9 0.8 1.6  5.8
190   0.423  0.500 0.3  2.5  2.8  2.2 0.7 0.3 1.2 1.5  3.8
191   0.724  0.333 0.8  1.9  2.7  0.2 0.1 1.1 0.3 1.2  2.5
192   0.638  0.738 2.0  3.5  5.5  0.6 0.5 1.0 0.5 2.1  5.4
193   0.538  0.563 0.6  0.9  1.4  0.5 0.2 0.0 0.2 0.6  1.3
194   0.143     NA 0.0  0.1  0.1  0.2 0.1 0.0 0.3 0.5  0.2
195   0.409  0.682 0.5  1.9  2.4  0.3 0.1 0.1 0.6 0.7  1.5
196   0.430  0.778 0.5  1.4  1.9  2.2 0.7 0.3 0.3 1.1  5.6
197   0.452  0.000 1.5  2.0  3.5  2.5 1.5 0.5 1.5 2.0  9.5
198   0.417  1.000 0.3  1.3  1.5  2.1 0.5 0.3 0.0 0.9  4.6
199   0.600  0.756 1.6  3.8  5.4  1.7 0.9 0.4 0.8 2.3  9.8
200   0.500     NA 0.0  1.0  1.0  0.0 0.0 0.0 0.0 1.0  1.0
201   0.453  0.804 0.2  2.3  2.5  2.9 0.8 0.1 0.9 1.4  7.5
202   0.618  0.770 0.2  1.4  1.6  0.6 0.3 0.0 0.6 1.1 10.0
203   0.486  1.000 0.4  1.1  1.5  1.5 0.3 0.1 0.7 0.7  2.9
204   0.560  0.797 0.2  2.7  2.9  3.7 1.0 0.3 2.1 2.1 19.7
205   0.576  0.714 0.3  3.0  3.3  3.1 1.3 0.6 1.2 2.6 13.0
206   0.523  0.719 0.6  2.9  3.5  7.2 1.5 0.5 3.0 2.9 25.2
207   0.554  0.923 0.9  1.1  2.0  0.7 0.4 0.4 0.3 1.1  6.1
208   0.150  0.333 0.0  1.6  1.6  3.2 0.4 0.2 0.8 1.4  1.6
209   0.605  0.774 3.9  7.1 11.0  1.2 0.5 0.7 1.1 2.3 11.2
210   0.413  0.895 0.6  2.5  3.1  5.4 1.0 0.3 2.3 2.3 12.9
211   0.508  0.647 1.0  1.6  2.6  0.5 0.4 0.4 0.7 1.5  3.4
212   0.690  0.659 1.4  1.9  3.3  0.5 0.4 1.1 0.7 1.7  4.7
213   0.681  0.672 2.2  3.4  5.6  0.5 0.7 1.8 0.8 1.9 10.1
214   0.542  0.925 0.3  3.8  4.1  1.5 0.6 0.2 0.8 2.1 13.3
215   0.571  0.957 0.2  0.9  1.1  0.7 0.2 0.0 0.3 0.6  4.8
216   0.517  0.848 0.4  2.0  2.4  6.1 1.2 0.1 3.0 2.0 17.4
217   0.582  0.720 0.7  3.4  4.1  2.1 0.5 1.1 1.0 2.2  5.0
218   0.505  0.804 0.7  4.1  4.8  1.4 0.7 0.6 1.0 1.8 11.4
219   0.557  0.868 0.8  5.8  6.6  5.2 1.1 0.4 3.3 2.4 23.3
220   0.636  0.727 2.2  3.4  5.6  0.8 0.7 1.1 0.5 2.2  5.4
221   0.474  0.593 0.8  2.7  3.5  0.8 0.2 0.3 0.5 1.4  2.8
222   0.571  0.808 0.5  4.2  4.7  5.9 0.8 0.7 3.0 2.0 23.7
223   0.558  0.813 0.6  1.3  2.0  0.4 0.4 0.2 0.3 1.0  3.1
224   0.524  0.697 2.1  2.8  4.9  0.5 0.7 1.0 0.6 2.2  5.6
225   0.675  0.623 3.4 10.1 13.5  1.3 0.6 2.7 1.7 2.3 14.3
226   0.448  0.651 0.2  1.3  1.5  2.0 0.4 0.0 0.8 0.9  4.9
227   0.522  0.651 1.5  4.1  5.7  3.2 0.7 0.7 1.9 1.8 12.4
228   0.509  0.629 1.6  5.1  6.6  4.2 0.6 0.8 2.7 2.0 14.6
229   0.541  0.705 1.5  3.2  4.7  2.2 0.7 0.6 1.2 1.6 10.2
230   0.527  0.825 0.3  1.9  2.1  2.6 0.5 0.5 1.9 1.6 17.8
231   0.510  0.842 0.4  2.3  2.7  5.4 0.9 0.1 1.5 1.4 14.8
232   0.491  0.845 0.6  4.0  4.6  2.8 0.6 1.1 2.0 2.3 22.3
233   0.573  0.775 0.8  3.0  3.8  1.7 1.3 0.8 1.0 1.8  9.5
234   0.492  0.795 0.9  6.3  7.1  8.9 1.7 0.8 3.0 3.1  7.0
235   0.568  0.807 1.5  3.3  4.8  0.9 0.4 0.4 0.9 2.5  8.1
236   0.599  0.667 0.8  1.3  2.1  0.4 0.7 0.1 0.5 1.3  4.2
237   0.500  1.000 0.4  0.8  1.2  0.4 0.6 0.3 0.4 0.8  2.6
238   0.590  0.776 0.5  3.4  3.9  1.6 0.5 0.4 0.8 1.8 11.0
239   0.473  0.565 0.7  1.3  2.0  0.7 0.4 0.1 0.4 0.9  2.6
240   0.509  0.744 0.8  4.1  4.9  3.0 0.7 0.3 1.3 2.4 11.0
241   0.453  0.710 0.4  4.9  5.2  3.9 0.7 0.1 1.6 2.1 12.3
242   0.574  0.782 1.1  3.6  4.7  2.4 0.7 0.5 1.2 2.7 10.0
243   0.403  0.800 0.2  1.0  1.1  1.0 0.2 0.0 0.4 0.6  2.8
244   0.513  0.770 0.9  4.6  5.5  1.4 0.8 0.1 1.2 2.1 13.8
245      NA     NA 0.0  0.0  0.0  0.0 0.0 0.0 0.5 0.0  0.0
246   0.569  0.857 0.7  2.3  3.0  5.3 1.3 0.5 1.6 1.4 13.0
247   0.714  0.676 1.8  2.9  4.8  0.8 0.4 0.8 0.6 1.4  5.6
248   0.323  0.500 0.3  2.5  2.8  1.3 0.2 0.0 1.2 1.8  4.1
249   0.458  0.750 0.4  1.6  2.0  0.6 0.2 0.1 0.4 0.9  2.6
250   0.482  0.657 0.7  4.2  5.0  2.8 0.6 0.3 1.6 1.5 11.2
251   0.560  0.816 0.3  3.0  3.3  1.8 0.4 0.2 0.9 1.6 16.6
252   0.548  0.861 0.8  7.1  7.9 10.8 1.2 0.8 4.0 2.3 24.6
253   0.537  0.883 0.6  4.5  5.1 10.4 0.9 0.8 4.3 1.8 24.8
254   0.551  0.856 0.8  7.7  8.5 10.9 1.3 0.8 4.0 2.4 24.6
255   0.577  0.000 0.2  1.0  1.2  0.6 0.2 0.4 0.3 1.3  1.4
256   0.480  0.805 0.4  2.5  2.9  1.4 1.1 0.6 0.7 2.8  6.9
257   0.000  0.750 0.0  0.3  0.3  0.1 0.0 0.0 0.4 0.1  0.4
258   0.622  0.707 2.3  3.9  6.2  1.1 0.7 0.7 1.1 1.9 13.5
259   0.470  0.821 0.5  1.5  2.0  2.0 0.7 0.3 0.9 1.8  9.9
260   0.519  0.733 0.7  1.8  2.5  1.7 0.9 0.2 0.7 1.9  9.7
261   0.429  0.875 0.4  1.2  1.6  2.3 0.6 0.4 1.2 1.7 10.2
262   0.618  0.778 0.2  1.2  1.4  1.3 0.6 0.0 1.1 1.2  7.4
263   0.654  0.778 0.6  3.0  3.6  1.9 0.7 0.2 0.9 2.0 14.1
264   0.556  0.892 1.0  5.8  6.8  3.5 0.9 0.8 1.7 1.9 19.5
265   0.353  0.818 0.2  1.2  1.4  0.7 0.5 0.1 0.3 1.0  2.1
266   0.300  0.833 0.2  0.4  0.5  0.5 0.1 0.0 0.3 0.2  1.0
267   0.371  0.813 0.2  2.1  2.3  0.9 0.9 0.3 0.4 1.8  3.3
268   0.531  0.775 1.1  6.9  8.0  2.3 0.8 0.3 1.0 2.4  9.2
269   0.556  0.648 1.4  2.5  3.9  1.2 0.4 0.8 1.0 2.3  5.1
270   0.513  0.611 1.3  1.5  2.8  0.5 0.4 0.7 0.7 2.0  3.5
271   0.593  0.686 1.6  4.4  6.0  2.5 0.5 1.2 1.4 2.8  8.3
272   1.000     NA 0.0  1.0  1.0  0.0 0.0 0.0 0.0 0.0  4.0
273   0.636  0.775 1.5  2.8  4.3  0.6 0.4 0.6 0.7 1.7  7.5
274   0.403  0.824 0.2  2.4  2.7  5.3 1.0 0.4 3.2 2.2  6.8
275   0.537  0.843 0.8  5.0  5.9  4.1 1.2 0.3 2.1 1.7 19.6
276   0.527  0.619 0.9  3.1  3.9  0.7 0.4 0.1 0.5 1.0  7.2
277   0.565  0.667 2.5  4.6  7.1  1.1 0.5 0.5 0.7 1.4  7.8
278   0.516  0.803 0.5  4.5  5.0  3.4 0.6 0.3 1.9 1.3 15.1
279   0.548  0.846 0.4  4.3  4.7  3.6 0.9 0.4 1.8 2.5 16.6
280   0.561  0.800 0.5  1.5  2.0  2.4 0.8 0.2 1.0 1.0  8.7
281   0.600  0.840 0.6  1.5  2.1  3.1 0.9 0.1 0.9 0.9 11.8
282   0.500  0.760 0.5  1.5  2.0  1.9 0.7 0.2 1.2 1.2  6.0
283   0.473  0.761 0.6  2.4  3.0  1.1 0.7 0.2 0.6 1.6  4.5
284   0.405  0.700 0.0  0.4  0.4  0.4 0.3 0.1 0.2 0.4  2.0
285   0.500  0.683 1.1  2.3  3.4  1.3 0.7 0.3 0.9 1.0  6.1
286   0.467  0.819 0.2  1.1  1.3  1.9 0.7 0.2 1.0 1.4  7.2
287   0.570  0.787 1.2  3.3  4.5  6.1 1.6 0.6 2.2 1.7 17.7
288   0.551  0.788 0.4  3.1  3.6  1.7 1.0 0.6 0.8 1.9 10.5
289   0.500  0.563 1.0  1.4  2.4  1.2 0.2 0.4 0.2 1.4  2.5
290   0.638  0.794 2.4  5.9  8.3  1.7 0.6 1.6 1.2 3.5 14.2
291   0.427  0.857 0.4  1.5  1.9  1.0 0.4 0.1 0.7 1.3  4.5
292   0.425  0.750 0.5  1.4  1.9  1.2 0.5 0.1 0.8 1.6  4.7
293   0.432  0.938 0.3  1.5  1.8  0.4 0.2 0.2 0.3 0.9  3.9
294   0.528  0.818 1.0  5.7  6.7  3.4 0.9 0.9 1.0 1.7 14.2
295   0.496  0.775 0.4  2.2  2.6  2.8 1.0 0.3 1.6 2.0  9.0
296   0.504  0.651 0.5  3.2  3.7  1.9 0.6 0.4 1.0 1.9  8.8
297   0.596  0.576 2.8  5.7  8.4  0.9 0.4 0.9 1.6 2.9  7.0
298   0.462  0.778 0.0  0.5  0.6  0.5 0.1 0.0 0.5 0.6  2.8
299   0.528  0.781 0.6  2.8  3.3  3.5 1.2 0.3 1.1 2.4 11.9
300   0.467  0.750 0.1  0.4  0.5  0.3 0.1 0.1 0.3 0.1  1.7
301   0.546  0.859 0.7  4.0  4.8  1.9 0.8 0.5 1.3 2.6 15.0
302   0.417  0.840 0.2  2.9  3.1  0.7 0.5 0.2 0.8 1.3  4.3
303   0.306  1.000 0.1  2.7  2.9  0.6 0.1 0.0 0.7 1.3  1.9
304   0.441  0.826 0.3  2.9  3.2  0.7 0.6 0.3 0.8 1.3  5.2
305   0.563  0.811 1.8  4.9  6.7  1.8 0.2 1.1 1.1 1.9 11.1
306   0.504  0.658 0.6  2.9  3.5  2.3 0.9 0.6 1.1 1.4  4.4
307   0.556  1.000 0.4  1.3  1.7  0.2 0.6 0.2 0.5 1.7  3.8
308   0.652  0.844 0.4  3.2  3.6  4.7 0.7 0.2 1.7 1.8 12.1
309   0.531  0.878 0.6  4.3  4.9  4.9 0.7 0.6 2.5 2.0 23.8
310   0.576  0.922 1.0  3.8  4.8  6.0 1.4 0.7 2.4 2.6 26.9
311   0.358  0.839 0.4  1.8  2.2  0.4 0.4 0.1 0.5 1.2  2.4
312   0.356  0.857 0.3  1.7  1.9  0.4 0.4 0.1 0.3 1.1  2.1
313   0.360  0.824 0.5  2.1  2.6  0.4 0.3 0.1 0.7 1.3  2.8
314   0.561  0.813 0.4  1.8  2.2  0.9 0.4 0.0 0.9 1.3  9.8
315   0.492  0.833 1.5  4.1  5.6  1.1 1.1 1.6 1.4 3.8 14.4
316   0.473  0.729 0.9  3.2  4.1  2.3 0.9 0.8 2.3 2.9 13.4
317   0.484  0.838 0.5  1.8  2.3  1.5 0.4 0.1 0.9 0.9  7.2
318   0.486  0.857 0.4  1.7  2.2  1.5 0.5 0.1 0.9 0.9  7.2
319   0.444  0.500 2.0  4.0  6.0  1.0 0.0 0.0 1.0 1.0  9.0
320   0.554  0.817 0.4  2.5  2.9  3.1 0.6 0.1 1.1 1.9 10.7
321   0.532  0.583 0.3  0.6  0.8  0.6 0.2 0.1 0.4 0.6  3.9
322   0.576  0.698 0.6  7.0  7.7  7.8 1.1 0.6 3.7 1.6 25.0
323   0.429  0.778 0.2  2.2  2.5  4.2 0.5 0.1 1.5 0.8  7.7
324   0.500  0.875 0.6  1.7  2.3  0.7 0.5 0.3 0.5 1.5  4.1
325   0.500  0.857 0.5  1.1  1.6  0.3 0.4 0.2 0.4 1.3  3.5
326   0.500  1.000 0.8  2.5  3.2  1.2 0.6 0.5 0.5 1.9  4.9
327   0.570  0.765 0.3  2.5  2.8  3.6 0.6 0.2 1.4 1.8 10.7
328   0.508  0.750 0.1  0.7  0.9  0.5 0.3 0.1 0.3 0.8  3.7
329   0.596  1.000 1.5  3.5  5.0  0.8 0.3 0.3 0.5 0.9  5.2
330   0.541  0.847 0.6  2.8  3.3  1.4 0.6 0.3 0.7 1.4  9.6
331   0.494  0.592 0.6  2.8  3.5  1.9 0.8 0.8 1.1 2.4  7.2
332   0.514  0.586 0.5  2.5  3.0  1.7 0.8 0.8 0.9 2.0  5.7
333   0.478  0.596 0.8  3.3  4.1  2.2 0.8 0.9 1.3 2.8  9.2
334   0.522  0.740 1.3  4.6  6.0  1.8 0.6 0.3 1.1 2.1 12.8
335   0.479  0.800 0.5  2.0  2.5  1.5 0.9 0.3 0.9 1.9  4.4
336   0.525  0.857 0.2  1.8  2.0  1.2 0.4 0.0 0.4 1.1  5.4
337   0.602  0.868 2.8  8.0 10.8  8.3 1.3 0.7 3.1 2.7 26.4
338   0.684  0.724 0.9  2.2  3.1  0.7 0.3 0.7 0.7 2.0  4.7
339   0.500  0.545 0.5  0.8  1.3  0.3 0.1 0.4 0.4 1.4  1.6
340   0.941  0.917 1.0  2.3  3.3  0.1 0.1 0.9 0.6 2.8  5.4
341   0.664  0.714 1.2  3.3  4.5  1.4 0.5 1.0 0.9 2.1  6.9
342   0.554  0.648 1.3  2.2  3.5  0.8 0.6 0.9 0.6 2.2  6.8
343   0.520  0.625 0.2  1.5  1.7  1.3 0.2 0.0 0.9 0.8  5.3
344   0.513  0.614 0.2  1.8  2.0  1.5 0.2 0.0 1.1 0.8  5.8
345   0.611  0.714 0.5  0.2  0.7  0.5 0.2 0.0 0.2 0.3  2.7
346   0.494  0.895 0.2  0.4  0.6  1.1 0.2 0.0 0.4 0.4  2.5
347   0.485  0.911 0.3  1.7  2.0  3.7 0.9 0.1 0.7 0.4  6.3
348   0.763  0.500 2.1  5.4  7.5  1.6 0.3 1.1 1.5 2.0  7.5
349   0.522  0.818 0.6  2.0  2.5  3.4 1.0 0.3 1.3 2.2  8.2
350   0.506  0.766 0.6  1.7  2.3  2.5 0.9 0.2 1.0 2.2  6.6
351   0.545  0.878 0.5  2.6  3.2  5.5 1.2 0.5 1.8 2.2 12.0
352   0.444  0.800 0.3  1.2  1.5  0.4 0.2 0.3 0.4 0.9  2.4
353   0.344  0.833 0.0  0.6  0.6  0.2 0.1 0.1 0.3 0.8  1.2
354   0.500  0.786 0.7  2.2  2.9  0.8 0.4 0.6 0.6 1.1  4.3
355   0.531  0.617 0.8  3.2  4.0  1.7 0.3 0.4 0.5 1.5  6.6
356   0.597  0.839 0.2  2.3  2.6  1.7 0.4 0.1 0.8 1.4  8.3
357   0.559  1.000 0.8  2.2  3.0  1.5 1.2 0.5 0.7 1.5  7.3
358   0.580  0.919 0.9  4.3  5.2  1.4 0.5 0.7 0.6 2.1  7.1
359   0.400  0.800 0.8  1.4  2.2  0.2 0.3 0.3 0.5 0.7  3.8
360   0.514  0.800 0.2  1.2  1.5  0.5 0.3 0.1 0.4 0.9  3.9
361   0.576  0.833 0.8  2.2  3.0  1.1 0.7 0.2 0.4 0.9  4.3
362   0.520  0.732 0.3  1.7  2.1  1.5 0.9 0.2 0.8 1.2  9.1
363   0.444  0.500 0.1  1.1  1.2  0.3 0.2 0.5 0.1 0.1  2.0
364   0.534  0.500 0.7  2.2  2.9  1.1 0.1 1.4 0.3 1.1  4.4
365   0.500     NA 0.0  0.6  0.6  0.4 0.0 0.0 0.0 0.2  0.6
366   0.286  0.500 0.2  0.8  1.0  0.4 0.5 0.4 0.8 0.6  1.2
367   0.813  1.000 0.6  1.2  1.8  0.8 0.6 0.0 0.8 1.6  3.0
368   0.533  0.691 1.6  4.5  6.1  1.9 0.5 0.6 1.7 1.8 12.9
369   0.487  0.857 1.1  1.8  2.9  1.0 0.3 0.2 0.8 1.4  5.5
370   0.529  0.947 0.7  2.9  3.6  1.5 0.9 0.6 0.6 2.0 10.1
371   0.398  0.750 0.7  1.3  1.9  0.7 0.3 0.3 0.6 1.3  3.1
372   0.596  0.849 0.6  4.4  5.0  4.9 0.8 0.5 3.5 2.4 27.4
373   0.557  0.703 0.3  1.2  1.5  0.6 0.6 0.4 0.6 1.0  5.1
374   0.500  1.000 0.0  0.7  0.7  0.1 0.3 0.1 0.3 0.1  1.7
375   0.111  1.000 0.5  0.8  1.3  0.5 0.0 0.0 0.0 0.0  1.3
376   0.608  0.909 0.4  2.8  3.2  1.3 0.7 0.1 0.5 1.6  6.5
377   0.490  0.685 0.4  1.6  2.0  3.6 0.7 0.3 1.1 1.6  5.6
378   0.629  0.629 1.2  2.8  4.1  0.8 0.3 1.0 0.9 2.0  6.6
379   0.650  0.500 0.0  1.6  1.6  0.4 0.1 0.9 1.1 1.4  2.3
380   0.629  0.636 1.4  3.0  4.4  0.8 0.3 1.0 0.8 2.1  7.1
381   0.568  0.885 1.1  5.4  6.5  5.2 1.6 0.4 2.0 1.6 24.8
382   0.643  0.500 0.0  2.3  2.3  0.7 0.0 0.0 0.7 1.7  3.3
383   0.493  0.811 0.7  3.9  4.6  5.2 1.4 0.6 2.2 2.2 20.2
384   0.490  0.765 0.8  3.5  4.3  6.0 1.1 0.5 2.2 1.7 18.5
385   0.493  0.822 0.7  4.0  4.6  4.9 1.5 0.7 2.2 2.4 20.7
386   0.445  0.843 0.2  1.1  1.3  2.3 0.7 0.2 0.6 1.6  6.4
387   0.554  0.928 0.5  3.7  4.2  7.5 0.9 0.3 3.0 1.5 28.8
388   0.551  0.800 0.7  2.0  2.7  0.5 0.1 0.3 0.4 1.1  4.6
389   0.558  0.646 1.9  3.4  5.3  2.0 0.3 0.4 0.6 2.2  4.1
390   0.577  0.845 1.5  3.5  5.0  0.7 0.6 1.5 0.9 2.1 12.3
391   0.639  0.723 2.0  1.8  3.8  0.8 0.2 0.6 1.1 1.5  9.0
392   0.308     NA 0.3  0.7  1.0  1.0 0.7 0.0 1.0 1.7  2.7
393   0.522  0.824 0.7  6.8  7.4  2.5 0.6 0.1 1.5 1.0 12.2
394   0.546  0.875 0.8  4.6  5.4  7.3 1.0 0.3 2.7 3.1 17.2
395   0.471  0.814 0.5  1.7  2.2  1.2 0.6 0.1 0.7 1.7  6.4
396   0.556  0.652 0.4  3.3  3.7  0.6 0.3 0.0 0.3 0.6  5.0
397   0.000     NA 0.0  0.0  0.0  0.0 0.0 0.0 1.0 1.0  0.0
398   0.556  0.909 1.0  1.3  2.3  0.5 0.3 0.5 0.4 0.9  3.8
399   0.454  0.748 0.4  2.9  3.2  3.5 0.9 0.2 2.2 1.9 10.1
400   0.269  0.800 0.1  1.3  1.4  0.4 0.0 0.2 0.3 1.0  1.1
401   0.563  0.830 0.8  2.8  3.6  1.6 0.4 0.2 0.6 1.9  7.0
402   0.439  0.821 0.2  1.3  1.5  2.3 0.5 0.0 1.0 1.0  4.1
403   0.512  0.816 1.4  2.5  3.9  0.3 0.1 0.2 0.4 0.9  4.7
404   0.594  0.826 0.7  4.6  5.3  0.9 0.5 0.3 1.0 1.5 13.6
405   0.462  0.707 0.5  4.2  4.6  2.8 0.8 0.3 1.2 1.8  7.7
406   0.436  0.641 0.6  2.1  2.7  1.3 0.7 0.2 0.6 1.2  5.0
407   0.484  0.581 1.0  2.1  3.1  1.7 0.7 0.2 0.8 1.0  4.0
408   0.318  0.200 0.2  0.6  0.8  0.4 0.6 0.2 0.7 0.1  2.4
409   0.536  0.900 0.5  1.7  2.2  0.5 0.3 0.3 0.5 1.0  4.5
410   0.564  0.714 1.6  3.8  5.4  1.1 0.7 0.9 0.8 2.0  9.3
411   0.417  0.714 0.8  2.3  3.0  3.0 0.0 0.0 1.3 1.8  6.3
412   0.570  0.884 0.3  1.1  1.4  0.4 0.5 0.1 0.2 1.7  5.5
413   0.479  0.333 0.1  0.8  0.9  1.6 0.1 0.4 0.1 0.9  6.0
414   0.484  0.854 0.3  1.3  1.6  0.9 0.7 0.3 0.4 1.4  4.8
415   0.498  0.871 0.2  1.5  1.7  2.0 0.4 0.2 0.7 1.3  8.0
416   0.520  0.880 0.3  0.8  1.1  0.9 0.4 0.1 0.3 0.5  3.8
417   1.000  1.000 0.2  0.4  0.6  0.8 0.4 0.0 0.0 1.2  1.0
418   0.554  0.812 0.6  3.3  3.9  4.7 0.9 0.4 1.4 1.9 23.1
419   0.574  0.688 0.8  2.9  3.7  6.6 1.9 0.3 2.0 1.6  8.6
420   0.545  0.600 0.8  2.9  3.7  1.1 0.6 1.0 0.7 2.7  6.8
421   0.530  0.703 1.0  2.6  3.6  1.1 0.6 0.4 1.0 2.0  7.4
422   0.616  0.816 0.9  2.4  3.3  1.3 0.3 0.1 0.8 1.8 13.6
423   0.470  1.000 0.3  0.7  1.1  0.2 0.1 0.2 0.2 0.4  2.2
424   0.520  0.657 1.7  3.5  5.2  0.8 0.4 1.2 1.3 2.6  7.3
425   0.533  0.655 1.6  3.5  5.2  1.0 0.5 1.2 1.4 2.4  8.0
426   0.478  0.667 1.8  3.5  5.3  0.5 0.2 1.1 1.2 3.2  5.5
427   0.607  0.750 0.5  0.9  1.4  1.0 0.5 0.1 0.4 0.8  5.7
428   0.602  0.556 0.6  0.8  1.4  0.2 0.2 0.0 0.1 0.7  3.1
429   0.481  0.767 0.4  1.7  2.1  3.8 1.0 0.1 1.0 0.9  5.0
430   0.503  0.736 0.3  1.6  1.9  0.7 0.4 0.2 0.8 1.7  7.7
431   0.480  0.719 0.3  1.7  2.1  0.9 0.6 0.1 0.9 1.6  7.4
432   0.539  0.762 0.2  1.4  1.6  0.5 0.1 0.3 0.7 1.8  8.0
433   0.408  0.760 0.6  2.1  2.7  1.0 0.3 0.1 0.3 1.3  3.0
434   0.314  0.857 0.5  2.0  2.6  1.1 0.4 0.0 0.3 1.3  2.0
435   0.476  0.722 0.7  2.1  2.8  0.8 0.2 0.1 0.2 1.3  4.0
436   0.548  0.804 0.6  2.5  3.1  2.5 1.2 0.6 1.3 1.6  9.1
437   0.590  1.000 0.2  0.8  1.0  0.7 0.3 0.0 0.3 0.6  3.0
438   0.545  0.721 0.9  2.3  3.1  0.8 0.4 0.5 0.8 1.6  6.3
439   0.546  0.898 0.8  5.2  6.0  5.4 1.1 0.1 2.6 2.4 20.4
440   0.635  1.000 0.1  1.2  1.3  1.2 0.7 0.3 0.4 0.7  4.1
441   0.544  0.910 0.3  1.4  1.7  2.4 0.6 0.0 1.0 1.2 10.8
442   0.537  0.724 1.4  3.3  4.7  1.8 0.9 0.6 0.9 2.0  9.0
443   0.503  0.830 0.5  1.8  2.3  3.1 0.6 0.3 1.6 2.1 13.0
444   0.520  0.845 0.9  3.5  4.4  5.2 1.0 0.3 2.8 2.2 26.4
445   0.395  0.000 0.1  0.3  0.4  0.4 0.1 0.1 0.4 0.4  1.1
446   0.540  0.819 0.3  2.1  2.4  2.1 0.5 0.1 1.3 1.1 11.7
447   0.500  0.857 0.5  1.1  1.7  1.5 0.6 0.2 0.9 1.2  4.9
448   0.487  0.728 0.9  3.1  4.0  7.4 0.9 0.2 3.2 1.4 19.1
449   0.533  0.429 0.3  0.7  1.0  0.3 0.1 0.0 0.1 0.7  1.2
450   0.592  0.820 0.6  3.5  4.1  1.0 0.6 0.3 1.0 2.1 13.4
451   0.491  0.720 0.8  3.6  4.4  1.2 0.4 0.3 0.9 1.7  6.7
452   0.547  0.795 0.2  1.8  2.0  3.2 0.7 0.3 0.7 1.0 10.2
453   0.609  0.636 0.1  0.9  1.0  0.4 0.2 0.2 0.3 0.9  5.6
454   0.485  0.791 0.9  6.2  7.1  5.4 1.5 0.1 1.7 2.0 15.7
455   0.559  0.869 0.8  3.3  4.0  4.8 1.3 0.3 2.3 2.0 21.2
456   0.573  0.917 0.5  3.2  3.8  0.8 0.2 0.3 0.6 1.5  9.7
457   0.504  0.800 0.3  1.8  2.1  1.6 0.8 0.2 1.1 0.9  6.9
458   0.523  0.700 0.4  2.5  3.0  1.8 0.8 0.2 1.6 1.0 10.3
459   0.569  0.757 0.3  2.3  2.6  0.8 0.4 0.4 0.8 1.4  6.7
460   0.546  0.612 1.5  5.2  6.7  3.1 1.7 0.5 1.6 2.1  9.3
461   0.551  0.786 0.6  2.2  2.8  0.5 0.3 0.2 0.5 1.9  4.7
462   0.539  0.882 0.4  2.0  2.4  2.3 1.1 0.1 0.8 1.7  8.7
463   0.590  0.957 0.4  2.1  2.4  0.8 0.3 0.1 0.7 1.6  6.9
464   0.596  0.800 0.3  1.2  1.5  0.2 0.2 0.1 0.2 0.7  3.2
465   0.614  0.714 2.2  4.2  6.4  0.7 1.1 2.2 1.0 2.8  5.1
466   0.499  0.818 0.5  1.8  2.3  1.5 0.5 0.3 0.7 1.7  9.0
467   0.513  0.444 0.2  0.8  0.9  0.6 0.5 0.1 0.3 1.4  2.7
468   0.578  0.933 0.4  2.8  3.2  2.6 0.9 0.3 1.4 1.9 14.6
469   0.538  0.500 0.2  0.8  1.0  0.3 0.0 0.0 0.2 0.1  1.7
470   0.532  0.619 2.3  6.6  9.0  3.4 1.0 1.1 2.0 2.8 11.5
471   0.525  0.691 1.3  2.6  3.9  1.0 1.0 0.7 0.6 2.0  9.2
472   0.563  0.760 0.3  1.7  2.0  0.2 0.5 0.2 0.8 0.7  5.7
473   0.580  0.848 1.2  5.6  6.8  2.5 0.8 0.5 1.2 2.6  7.0
474   0.534  0.750 0.6  2.1  2.6  0.7 0.3 0.0 0.4 1.0  4.6
475   0.627  0.708 0.9  1.6  2.4  0.5 0.2 0.2 0.8 1.4  5.4
476   0.492  0.750 0.9  3.1  4.0  2.2 1.1 0.5 0.8 1.1  7.8
477   0.459  0.769 1.1  1.6  2.6  1.1 0.9 0.5 0.7 2.1  5.4
478   0.644  0.632 1.2  2.0  3.3  0.4 0.5 0.7 0.6 2.0  4.6
479   0.476  0.726 1.0  2.1  3.1  1.9 0.9 0.4 1.3 2.8  9.6
480   0.438  0.533 0.6  1.3  1.8  0.5 0.3 0.3 0.4 1.6  2.5
481   0.476  0.754 0.4  4.5  4.8  4.6 1.4 0.4 2.5 2.5 19.8
482   0.503  0.730 0.1  5.6  5.7  4.2 1.7 0.2 2.0 2.6 20.0
483   0.471  0.783 0.4  4.4  4.8  5.0 1.2 0.5 2.6 2.3 21.2
484   0.419  0.667 0.8  2.8  3.5  3.5 1.8 0.5 3.5 3.3 12.0
485   0.636  0.250 1.3  4.0  5.3  1.3 0.5 1.0 0.8 2.8 10.8
486   0.533  0.775 1.0  5.0  6.1  2.1 0.9 0.6 1.3 2.9 10.0
487   0.621  0.844 1.6  6.9  8.4  4.1 1.4 0.6 2.6 3.1 19.0
488   0.505  0.833 0.4  1.1  1.6  0.5 0.2 0.1 0.3 1.1  1.9
489   0.458  0.800 0.6  2.8  3.4  2.9 0.9 0.2 1.4 2.0 10.4
490   0.433  0.750 0.7  0.9  1.6  0.3 0.1 0.2 0.3 0.8  1.8
491   0.501  0.695 1.5  4.5  6.0  1.3 1.0 0.8 1.3 2.2 15.4
492   0.564  0.769 0.8  2.5  3.2  0.8 0.1 0.4 0.8 1.0  5.5
493   0.571     NA 0.3  1.7  2.0  0.3 0.0 0.3 1.0 1.3  2.7
494   0.563  0.769 0.9  2.7  3.6  1.0 0.1 0.4 0.7 0.9  6.4
495   0.527  0.713 0.7  2.5  3.2  1.3 0.3 0.2 1.1 1.7  9.5
496   0.000     NA 1.0  0.0  1.0  1.0 0.0 0.0 5.0 2.0  0.0
497   0.558  0.765 0.5  1.5  2.0  0.8 0.4 0.2 0.3 1.2  5.2
498   0.479  0.750 1.1  2.7  3.8  1.1 0.9 1.1 0.3 2.6  5.4
499   0.557  0.934 0.4  4.1  4.5  8.9 1.4 0.3 2.2 2.4 16.4
500   0.576  0.893 0.3  2.1  2.4  3.6 0.6 0.3 1.0 1.6  8.4
501   0.455  0.682 1.0  2.4  3.4  3.2 0.7 0.1 1.6 1.8 10.1
502   0.846  0.750 0.2  0.9  1.1  0.1 0.6 0.1 0.1 0.8  2.5
503   0.533  0.667 0.5  1.0  1.5  0.2 0.1 0.7 0.2 1.1  1.5
504   0.429     NA 1.0  1.3  2.3  0.0 0.0 1.0 1.0 3.0  2.0
505   0.000  0.750 1.0  0.0  1.0  1.0 0.0 0.0 0.0 1.0  3.0
506   0.714  0.500 0.2  1.0  1.2  0.1 0.1 0.7 0.0 0.4  1.2
507   0.436  0.769 1.0  1.8  2.8  0.5 0.2 0.2 0.6 1.5  3.0
508   0.111     NA 0.0  0.3  0.3  0.1 0.0 0.0 0.1 0.2  0.1
509   0.614  0.669 2.6  6.7  9.3  3.6 0.8 0.9 1.9 3.3 10.4
510   0.616  0.508 3.2  4.8  7.9  1.9 0.7 1.8 1.2 2.5  8.6
511   0.250  0.333 0.6  0.8  1.4  0.2 0.0 0.3 0.4 0.8  0.8
512   0.412  0.738 0.7  4.0  4.7  2.2 0.4 0.9 2.2 1.3  8.2
513   0.535  0.882 0.3  1.5  1.8  1.9 0.5 0.2 1.0 1.7 12.0
514   0.633  0.600 0.4  0.9  1.3  0.1 0.3 0.1 0.6 1.1  2.0
515   0.493  0.734 0.8  3.0  3.8  6.3 0.7 0.3 3.5 2.3 16.6
516   0.646  0.791 1.5  5.8  7.3  1.1 0.7 0.9 1.3 2.1 19.0
517   0.535  0.838 1.1  4.4  5.5  2.0 0.5 0.2 1.0 1.5  9.9
518   0.380  1.000 0.0  4.7  4.7  1.7 1.3 0.0 0.0 1.3  8.0
519   0.585  0.740 1.9  5.2  7.1  1.1 0.8 0.4 0.8 1.7 11.4
520   0.547  0.855 1.9  7.0  8.9  1.6 0.5 1.3 1.2 2.7 20.1
521   0.631  0.782 1.4  2.7  4.0  1.1 0.6 0.5 0.7 2.3  5.9
522   0.602  0.865 0.5  2.5  3.0  1.8 1.1 0.2 1.8 2.3 19.6
523   0.518  0.880 0.9  2.4  3.3  1.9 1.3 0.4 1.6 2.3 17.0
524   0.495  0.855 0.5  3.0  3.5  1.9 0.7 0.6 1.1 1.8  9.5
525   0.493  0.889 0.2  2.7  2.8  0.6 0.7 0.7 0.9 1.8  8.1
526   0.496  0.837 0.6  3.1  3.7  2.4 0.7 0.5 1.2 1.9 10.1
527   0.562  0.889 0.5  1.9  2.4  1.8 0.6 0.1 0.8 1.6  7.7
528   0.497  0.891 0.4  1.8  2.1  2.0 0.5 0.2 0.9 1.8 11.4
529   0.461  1.000 0.2  0.6  0.8  0.5 0.3 0.1 0.2 0.6  3.1
530   0.481  0.792 0.2  1.8  2.0  1.8 0.5 0.1 1.1 1.6  6.5
531   0.516  0.811 1.2  9.0 10.2  6.0 0.9 0.3 3.4 3.2 24.1
532   0.428  0.817 0.8  3.2  4.0  1.3 1.3 0.3 1.3 2.6 11.2
533   0.521  0.942 0.1  1.4  1.5  1.2 0.3 0.1 0.8 1.1  7.4
534   0.526  0.957 0.1  1.6  1.7  1.3 0.3 0.1 0.8 1.2  8.7
535   0.500  0.800 0.1  0.8  0.9  0.8 0.2 0.1 0.8 1.0  4.4
536   0.538  0.500 1.2  1.2  2.3  0.5 0.4 0.5 0.5 1.1  3.4
537   0.576  0.693 1.2  3.4  4.6  1.0 0.5 1.1 1.0 2.6 11.2
538   0.417     NA 0.4  0.6  1.0  0.4 0.0 0.0 0.0 0.4  3.0
539   0.500     NA 0.0  0.0  0.0  0.0 0.0 0.0 0.0 0.0  0.7
540   0.406     NA 1.0  1.5  2.5  1.0 0.0 0.0 0.0 1.0  6.5
541   0.444  0.636 0.2  0.4  0.6  0.1 0.0 0.0 0.2 0.4  0.8
542   0.498  0.917 0.9  2.4  3.3  2.6 1.0 0.4 1.3 2.2 12.1
543   0.750     NA 0.0  0.1  0.1  0.4 0.1 0.0 0.1 0.0  2.6
544   0.537  0.710 0.2  2.1  2.3  2.3 0.8 0.1 1.0 1.8  7.9
545   0.533  0.714 0.2  2.0  2.2  2.0 0.6 0.0 1.0 1.5  7.3
546   0.541  0.706 0.2  2.1  2.3  2.6 1.2 0.1 0.9 2.1  8.7
547   0.179  0.500 1.4  1.6  3.0  0.8 0.6 0.2 0.4 0.8  1.2
548   0.614  0.827 0.1  3.4  3.5  1.8 0.6 0.3 1.1 2.5 13.1
549   0.505  0.913 0.5  1.5  2.0  0.9 0.2 0.1 0.5 1.0  5.3
550   0.353  0.800 0.2  2.0  2.2  1.5 0.7 0.4 1.1 1.8  4.9
551   0.429  0.600 0.1  0.7  0.8  1.0 0.3 0.0 0.2 1.1  2.3
552   0.653  0.491 3.6  4.5  8.1  0.5 1.1 1.5 0.8 2.8  8.3
553   0.520  0.744 1.5  4.1  5.6  1.8 0.9 0.6 1.9 2.7  8.7
554   0.526  0.941 0.4  2.0  2.4  4.4 0.8 0.1 1.8 1.2  5.4
555   0.477  0.500 0.1  1.9  2.0  3.5 0.7 0.1 1.4 0.9  3.9
556   0.576  1.000 0.8  2.3  3.1  5.8 1.0 0.1 2.2 1.6  7.6
557   0.511  0.866 0.4  2.2  2.6  4.2 1.0 0.4 1.6 1.1 14.7
558   0.465  0.840 0.4  1.5  1.9  4.2 1.2 0.3 1.9 1.1 14.2
559   0.530  0.883 0.4  2.5  2.9  4.2 0.9 0.4 1.4 1.1 14.9
560   0.485  0.870 0.3  3.1  3.4  2.3 1.0 0.5 1.6 1.9 15.6
561   0.548  0.817 0.7  3.7  4.4  4.2 1.3 0.4 1.9 1.7 20.4
562   0.454  0.867 0.4  2.9  3.3  6.4 1.4 0.1 1.6 2.0  8.6
563   0.523  0.765 0.4  2.3  2.6  5.8 1.1 0.4 2.7 1.6 19.0
564   0.564  0.732 2.4  9.5 12.0  6.7 1.2 0.5 3.4 3.3 20.3
565   0.505  0.552 0.5  1.6  2.1  0.5 0.2 0.2 0.6 1.3  3.7
566   0.509  0.655 0.9  1.7  2.7  0.1 0.1 0.5 0.5 1.8  4.6
567   0.516  0.848 0.9  2.9  3.8  1.3 0.6 0.1 1.1 1.9  8.7
568   0.578  0.848 0.5  1.9  2.4  4.7 0.7 0.2 1.7 1.5  7.7
569   0.484  0.848 0.5  3.0  3.5  5.8 1.1 0.2 2.7 2.6 15.4
570   0.486  0.667 0.2  2.1  2.4  0.8 0.5 0.3 0.4 1.4  4.2
571   0.417  1.000 0.5  3.0  3.5  0.3 1.0 0.0 1.8 1.3  8.8
572   0.519  0.815 1.0  2.2  3.1  4.4 1.0 0.2 2.8 2.6 24.3
573   0.549  0.846 0.2  1.7  1.8  1.6 0.5 0.2 0.8 1.5  9.3
574   0.250     NA 0.5  0.0  0.5  0.0 0.5 0.0 0.5 0.0  1.0
575   0.493  0.827 1.7  5.5  7.2  4.5 1.1 0.7 2.3 3.1 21.4
576   0.656  0.733 0.5  1.3  1.8  0.4 0.1 0.4 0.7 1.6  2.1
577   0.731  0.733 0.6  1.6  2.3  0.5 0.1 0.5 0.8 1.8  2.7
578   0.333     NA 0.0  0.5  0.5  0.0 0.0 0.3 0.3 1.0  0.5
579   0.560  0.613 1.6  5.6  7.2  6.9 1.6 0.6 3.0 2.9 14.3
580   0.569  0.807 0.2  2.0  2.2  1.4 0.3 0.1 0.7 1.5  7.8
581   0.475  0.500 0.0  1.5  1.5  0.3 0.1 0.0 0.3 0.5  2.1
582   0.481  0.333 0.4  0.7  1.1  0.3 0.2 0.3 0.3 0.7  1.9
583   0.489  0.790 0.8  2.7  3.5  5.7 1.5 0.5 2.0 2.6 13.1
584   0.466  0.731 0.5  1.9  2.4  3.3 1.0 0.6 1.1 1.6  6.7
585   0.200  0.833 0.0  0.7  0.7  1.0 1.0 0.0 0.3 1.3  3.0
586   0.485  0.700 0.6  2.1  2.7  3.7 1.0 0.7 1.3 1.7  7.3
587   0.465  0.576 0.5  2.9  3.4  3.9 0.7 0.3 0.9 1.4  6.7
588   0.480  0.714 0.3  1.1  1.4  0.1 0.0 0.2 0.3 0.6  2.0
589   0.696  1.000 0.4  2.0  2.4  1.3 0.3 0.2 0.4 1.6  5.3
590   0.500  0.000 1.0  1.0  2.0  0.0 0.0 1.0 1.5 1.5  2.0
591   0.337  0.778 0.3  0.5  0.8  0.0 0.0 0.1 0.0 0.6  1.5
592   0.471  0.725 0.6  1.8  2.4  0.6 0.4 0.3 0.6 1.3  4.1
593   0.578  0.696 2.3  4.3  6.7  0.9 0.6 1.3 1.0 2.7  7.9
594   0.588  0.667 0.1  0.9  1.1  0.6 0.3 0.1 0.2 1.1  6.1
595   0.587  0.819 0.3  1.4  1.8  0.9 0.6 0.2 1.0 1.7  7.5
596   0.554  0.694 1.9  3.5  5.3  2.5 1.2 0.5 1.4 3.2 11.3
597   0.530  0.868 0.8  6.6  7.4  4.3 1.2 0.5 2.7 1.9 26.4
598   0.496  0.848 0.3  1.3  1.6  2.4 0.6 0.2 1.2 1.0  6.7
599   0.484  0.836 0.3  1.4  1.7  2.1 0.8 0.2 1.1 1.3  6.9
600   0.521  0.864 0.2  1.2  1.5  2.8 0.4 0.2 1.2 0.6  6.6
601   0.503  0.800 0.5  2.3  2.9  2.2 0.8 0.5 1.0 2.3  7.6
602   0.313  0.333 0.0  0.5  0.5  0.5 0.5 0.0 0.2 0.2  1.0
603   0.593  0.673 1.4  4.0  5.5  1.7 0.6 0.9 1.0 2.6  9.6
604   0.609  0.687 1.3  4.0  5.2  1.6 0.6 1.0 1.0 2.9  9.5
605   0.567  0.651 1.7  4.2  5.9  1.8 0.7 0.6 1.1 2.0 10.0
606   0.435  0.674 0.3  1.4  1.7  0.9 0.5 0.3 0.7 1.3  3.9
607   0.357  0.714 0.3  0.8  1.0  1.0 0.3 0.3 1.0 1.3  2.5
608   0.441  0.667 0.3  1.5  1.8  0.9 0.5 0.3 0.6 1.3  4.1
609   0.389  1.000 0.3  1.0  1.3  1.7 0.3 0.0 2.0 1.0  7.7
610   0.553  1.000 1.4  2.2  3.6  5.0 1.8 1.2 1.2 1.6 16.4
611   0.500  0.857 0.2  0.8  1.0  0.4 0.1 0.0 0.3 0.4  3.1
612   0.524  0.857 0.1  0.7  0.8  0.3 0.1 0.0 0.2 0.4  2.7
613   0.477  0.857 0.2  1.0  1.2  0.5 0.1 0.0 0.4 0.4  3.6
614   0.518  0.592 3.1  5.0  8.1  1.2 0.4 0.6 1.1 2.2  7.6
615   0.402  0.500 0.1  0.7  0.9  1.0 0.6 0.1 0.3 0.7  2.0
616   0.405  0.000 0.1  0.3  0.4  0.3 0.4 0.1 0.3 0.2  1.2
617   0.400  0.667 0.3  1.6  1.9  2.4 1.1 0.1 0.4 1.7  3.4
618   0.508  0.444 0.5  1.4  1.9  1.0 1.6 1.1 0.5 2.0  3.9
619   0.421  0.818 0.3  1.0  1.3  0.4 0.3 0.4 0.1 1.1  3.2
620   0.595  0.642 1.3  3.1  4.3  1.3 0.7 0.6 0.8 2.0  6.6
621   0.353  0.833 0.3  0.6  0.9  0.2 0.3 0.2 0.3 0.6  1.5
622   0.560  0.731 0.4  1.8  2.2  0.5 0.3 0.2 0.4 0.9  4.1
623   0.667  0.710 0.5  3.9  4.4  2.8 0.8 0.5 1.2 2.1  5.7
624   0.409  0.714 0.0  0.8  0.8  0.5 0.3 0.4 0.0 0.8  1.8
625   0.555  0.859 2.7  7.9 10.6  4.5 0.8 1.1 3.2 3.7 24.8
626   0.513  0.783 0.5  2.2  2.6  1.4 1.0 0.2 0.7 1.6 15.3
627   0.530  0.773 0.5  1.7  2.2  1.4 0.9 0.1 0.8 1.5 15.0
628   0.479  0.806 0.4  3.2  3.6  1.3 1.1 0.2 0.7 1.7 16.2
629   0.486  0.750 1.0  2.9  3.9  1.2 0.8 0.4 0.8 2.4  3.7
630   0.469  0.783 1.0  3.6  4.6  1.4 0.9 0.6 1.0 2.8  4.4
631   0.533  0.600 0.9  1.9  2.8  0.8 0.5 0.1 0.4 1.7  2.6
632   0.556  0.737 0.1  0.7  0.8  0.4 0.1 0.0 0.3 0.6  2.4
633   0.557  0.782 1.3  5.2  6.5  1.0 0.9 3.4 1.4 3.5 12.6
634   0.606  0.773 4.1  8.4 12.5  1.8 0.6 0.9 1.6 2.9 17.1
635   0.469  0.941 0.4  2.8  3.2  1.7 0.5 0.1 0.7 1.1  6.5
636   0.608  0.559 1.8  3.9  5.8  1.2 1.0 0.7 0.8 1.9  5.4
637   0.489  0.885 0.6  3.6  4.2  6.3 1.7 0.7 1.8 2.3 19.6
638   0.250  0.556 1.4  2.6  4.0  0.6 0.0 0.4 0.2 0.6  2.6
639   0.492  0.843 0.4  2.4  2.8  0.9 0.7 0.3 0.4 1.4  5.5
640   0.476  0.870 0.2  0.9  1.1  1.3 0.4 0.0 0.7 1.6  4.8
641   0.000     NA 0.0  0.3  0.3  0.3 0.0 0.0 0.5 0.5  0.0
642   0.540  0.840 2.1  9.6 11.7  3.8 0.9 0.7 1.8 2.0 23.4
643   0.545  0.827 2.0  9.8 11.8  3.8 1.0 0.6 1.9 1.8 24.5
644   0.532  0.870 2.3  9.3 11.5  3.9 0.9 0.8 1.7 2.2 21.5
645   0.556  0.769 0.6  2.8  3.4  1.2 0.6 0.3 0.5 1.2  6.0
646   0.522  0.816 0.6  2.6  3.2  1.1 0.6 0.4 1.0 2.4  6.9
647   0.561  0.788 0.5  2.4  2.9  1.3 0.9 0.3 0.8 2.5  7.1
648   0.357  0.500 0.3  1.8  2.1  0.7 0.0 0.1 1.0 1.1  1.2
649   0.495  0.879 1.0  3.9  4.9  1.1 0.4 0.8 1.2 3.3 11.0
650   0.514  0.899 0.4  3.6  4.0  4.9 1.1 0.3 2.0 1.4 19.3
651   0.502  0.814 0.2  2.4  2.6  1.7 0.5 0.3 1.1 1.7 11.2
652   0.458  0.749 0.4  2.8  3.2  6.9 1.1 0.8 3.5 1.2 20.6
653   0.411  0.891 0.3  1.4  1.7  2.9 0.7 0.2 1.2 1.5  5.5
654   0.390  0.893 0.2  1.5  1.7  2.5 0.7 0.2 0.9 1.4  4.7
655   0.440  0.889 0.5  1.3  1.8  3.4 0.8 0.2 1.5 1.8  6.9
656   0.529  0.800 0.5  3.0  3.5  1.3 0.5 0.0 1.0 4.0 15.5
657   0.522  0.745 1.5  5.1  6.5  2.5 1.1 1.2 2.0 2.7 12.9
658   0.539  0.828 0.7  2.5  3.2  0.8 0.5 0.4 0.4 1.1  4.4
659   0.494  0.941 0.2  0.6  0.8  2.4 0.6 0.0 1.0 0.7  3.8
660   0.646  0.625 0.1  1.5  1.7  0.6 0.2 0.1 0.3 1.3  4.1
661   0.471  0.813 0.2  0.4  0.6  0.4 0.4 0.1 0.5 0.9  2.3
662   0.474  0.656 1.7  9.9 11.5 11.7 1.4 0.4 4.8 2.9 22.2
663   0.506  0.901 0.4  3.7  4.1  4.8 0.6 0.2 2.3 2.6 15.1
664   0.503  0.851 0.4  2.6  3.0  3.5 0.7 1.0 1.3 2.5 15.4
665   0.563  0.519 1.7  4.3  6.0  0.6 0.3 1.3 1.1 2.0  8.1
666   0.000     NA 0.0  0.0  0.0  0.0 0.0 0.0 0.0 0.0  0.0
667   0.543  0.714 1.2  3.7  4.9  2.4 0.9 1.0 1.8 2.2 18.6
668   0.534  0.588 0.8  2.1  2.8  1.0 0.5 0.4 0.9 2.6  4.7
669   0.596  0.571 1.3  2.9  4.1  2.3 0.8 0.3 1.2 2.2  8.0
670   0.464  0.867 0.3  1.8  2.1  3.4 0.7 0.1 1.6 0.9 11.3
671   0.473  0.866 0.4  1.7  2.1  3.4 0.9 0.1 1.6 1.0 12.1
672   0.444  0.870 0.3  1.8  2.1  3.4 0.3 0.1 1.8 0.8 10.0
673   0.534  0.728 0.9  3.7  4.6  1.4 0.9 0.6 1.4 1.8  9.2
674   0.721  0.616 2.6  4.3  6.9  1.8 0.8 1.8 1.0 2.0  8.0
675   0.616  0.698 2.7  4.5  7.2  3.7 0.9 0.6 2.7 2.2 27.0
676   0.494  0.680 0.6  2.6  3.2  0.7 0.3 0.5 0.6 1.3  5.2
677   0.488  0.500 0.3  1.8  2.1  0.3 0.1 0.3 0.3 1.1  3.6
678   0.496  0.696 0.7  3.0  3.8  0.9 0.4 0.5 0.8 1.3  6.1
679   0.538  0.778 0.6  2.8  3.5  1.1 0.6 0.4 1.0 1.2  5.2
680   0.376  0.571 0.7  3.8  4.5  1.9 0.6 0.5 1.4 1.8  6.8
681   0.545  0.833 0.0  0.4  0.4  0.5 0.1 0.0 0.2 0.4  1.9
682   0.535  0.628 1.4  4.4  5.8  0.7 0.3 0.9 1.5 3.1 11.5
683   0.574  0.631 1.9  7.8  9.6  1.7 0.8 1.2 2.0 2.1 21.0
684   0.425  0.375 0.3  0.9  1.2  0.2 0.0 0.2 0.1 0.3  1.5
685   0.517  0.789 1.0  3.5  4.6  5.0 1.6 0.5 1.3 1.3 10.4
686   0.536  0.833 1.0  2.9  3.9  3.6 1.6 0.4 1.3 1.1 10.0
687   0.568  0.628 2.5  3.8  6.2  4.3 1.1 0.6 2.0 2.2 12.1
688   0.499  0.886 0.6  3.3  3.9  9.4 0.8 0.2 4.1 1.8 25.3
689   0.565  0.714 2.5  4.4  6.8  1.8 0.6 0.4 1.1 2.5  9.4
690   0.654  0.789 2.6  4.6  7.2  1.3 0.3 0.9 1.1 2.6  9.0

Data description

Motivation: Why was this dataset created?

This dataset was created for people all over the world to be able to see every NBA player’s statistics and information. The purpose of this dataset was to have every player’s statistical data in one, convenient web page so that anyone can examine players as well as compare players.

Who created this dataset?

This dataset was created by Sean Forman - an indepedent journalist. However, other journalists contributed data to this dataset.

Who funded the creation of this dataset?

The creator gives no indication who funded this dataset, it is an independent basketball-information resource, so the NBA itself did not fund the creation of this dataset. The creator of this dataset may have contributed their own earnings in order to gather data from other resources and retrieve data from journalists.

Composition:

What are the observations (rows) and the attributes (columns)?

The rows (observations) in this dataset are the names of the NBA players from the 2020-2021 season. The columns (attributes) are player descriptors and in-game statistics of these players. The descriptions are their positions they played, the team they played for, their age, as well as their name (the first column header which has the rows underneath). The in-game statistics are values that describe the performance of the player, for example their points per game, rebounds per game, field goal percentage (baskets made over total baskets attempted), and more.

Collection Process

What processes might have influenced what data was observed and recorded and what was not?

An important process that helped gather data into this dataset was the contributions from outside sources, including journalists like Sean Lahman who provided a large amount of NBA data. This source observed large amounts of data, and is a reason some of these statistics are in this dataset. Because the creator of this dataset is not affiliated with the NBA, some attributes are missing, but these attributes are not as essential to our research question. Statistics like miles run per game, time of possession per game, and others are not available due to the fact that the creator did not directly observe the NBA data (they just received data from other sources), so they could not get every statistic they desired.

If people are involved, were they aware of the data collection and if so, what purpose did they expect the data to be used for?

The people involved (the NBA players) are aware of the fact that the NBA directly collects statistical data from them, and they are aware that this data is public (our dataset used this public data and used it to make the dataset). They expect the data to be used for the exact reasons this dataset was made - so anybody, especially basketball fans, can examine how they play and so anybody can compare NBA players to each other.

Preprocessing:

What preprocessing was done, and how did the data come to be in the form that you are using?

In terms of pre-processing data, the creator reduced and altered raw data in order to make the resulting data more uniform and easier to read. For example, they retrieved the total points in a season and total games played for each player, and then divided the points over the games played in order to generate a player’s average points per game. This calculation was necessary because points per game allows people to compare players on an even playing field since players play different amounts of games. After calculations like these were made for other statistics, data was then reduced, for example the dataset creator deleted total points in a season (raw data) from the dataset since it was redundant an unnecessary. Data reduction/cleansing and data transformation were key processes in order to make the data easier to analyze and display.

Data limitations

The first potential limitation that could interrupt our project is that our dataset is limited by the player data from the 2020-2021 season, as that is the only season our dataset contains. Therefore, our project cannot exceed that season to explore comparisons between seasons. We cannot delve deeper to ensure our findings are consistent over years of data. That deeper analysis would ensure our findings were correct and irrefutable.

Another limitation or dataset contains is that mot all players have data for all categories. This can cause the limitation of skewing our findings, such as producing lower or higher number in a specific category such as field goal percentage.This limitation could challenge the validity of our findings should other nba researchers review our project.

Exploratory data analysis

nba_clean |>
  group_by(Pos) |>
  summarize(mean_ppg = mean(PTS, na.rm = TRUE), mean_apg = mean(AST, na.rm = TRUE), mean_rpg = mean(ORB, na.rm = TRUE), mean_efg = mean(efg_pct, na.rm = TRUE), mean_fgp = mean(fg_pct, na.rm = TRUE), mean_threep_pct = mean(threep_pct, na.rm = TRUE), mean_ftpct = mean(ft_pct, na.rm = TRUE), mean_tov = mean(TOV, na.rm = TRUE))
# A tibble: 5 × 9
  Pos   mean_ppg mean_apg mean_rpg mean_efg mean_fgp mean_threep_pct mean_ftpct
  <chr>    <dbl>    <dbl>    <dbl>    <dbl>    <dbl>           <dbl>      <dbl>
1 C         8.37     1.29    1.64     0.546    0.519           0.243      0.695
2 PF        7.56     1.50    0.842    0.508    0.442           0.314      0.732
3 PG        9.86     3.56    0.452    0.485    0.416           0.339      0.797
4 SF        7.81     1.42    0.660    0.504    0.426           0.330      0.754
5 SG        9.39     1.97    0.452    0.498    0.412           0.334      0.782
# ℹ 1 more variable: mean_tov <dbl>

Shooting guards lead the points per game category, point guards lead the assists per game category, Centers lead the rebounds per game category, centers lead the effective field goal percentage category, centers lead the field goal percentage category, small forwards lead the 3 point percentage category, point guards lead the free throw percentage category, and point guards lead the turnovers per game category. It is clear that Centers led the league in the most amount of positive categories in the 2020-2021 season, and power forwards led the least amount of categories this season.

nba_clean |>
  group_by(Pos) |>
  summarize(mean_cum_stat = mean(PTS + AST + ORB - TOV))
# A tibble: 5 × 2
  Pos   mean_cum_stat
  <chr>         <dbl>
1 C             10.2 
2 PF             8.98
3 PG            12.4 
4 SF             9.02
5 SG            10.7 

Using our equation that determines the best cumulative average of the main offensive statistical categories, point guards have the highest value for this statistic, while power forwards have the lowest value for this statistic

library(infer)
ggplot(nba_clean,
       aes(x = Pos, y = PTS, fill = Pos)) +
  geom_col() +
  labs(
    title = "Points per Game by Position",
    x = "Position",
    y = "Points per Game"
  ) +
  theme_minimal()

This graph shows us that that shooting guards have the highest points per game by a noticeable amount, while small forwards have the least points per game. We will be creating graphs for other statistical values to determine the positions with the best offensive statistics.

Questions for reviewers

1) Do you believe our limitations serve too large of an issue for us to continue working with this dataset?

2) Is there any wording we could be more specifc on or any topic you would like us to clarify more?

3) Do you have concerns for our project moving forward? If so, what are they?