EX2 TP4
Mariam Maamar
2024-03-14
nba <- read.csv("C:/Users/Mariam/Downloads/ppg2008.csv", row.names=1)
colnames(nba)## [1] "G" "MIN" "PTS" "FGM" "FGA" "FGP" "FTM" "FTA" "FTP" "X3PM"
## [11] "X3PA" "X3PP" "ORB" "DRB" "TRB" "AST" "STL" "BLK" "TO" "PF"str(nba)## 'data.frame': 50 obs. of 20 variables:
## $ G : int 79 81 82 81 67 74 51 50 78 66 ...
## $ MIN : num 38.6 37.7 36.2 37.7 36.2 39 38.2 36.6 38.5 34.5 ...
## $ PTS : num 30.2 28.4 26.8 25.9 25.8 25.3 24.6 23.1 22.8 22.8 ...
## $ FGM : num 10.8 9.7 9.8 9.6 8.5 8.9 6.7 9.7 8.1 8.1 ...
## $ FGA : num 22 19.9 20.9 20 19.1 18.8 15.9 19.5 16.1 18.3 ...
## $ FGP : num 0.491 0.489 0.467 0.479 0.447 0.476 0.42 0.497 0.503 0.443 ...
## $ FTM : num 7.5 7.3 5.9 6 6 6.1 9 3.7 5.8 5.6 ...
## $ FTA : num 9.8 9.4 6.9 6.7 6.9 7.1 10.3 5 6.7 7.1 ...
## $ FTP : num 0.765 0.78 0.856 0.89 0.878 0.863 0.867 0.738 0.868 0.793 ...
## $ X3PM: num 1.1 1.6 1.4 0.8 2.7 1.3 2.3 0 0.8 1 ...
## $ X3PA: num 3.5 4.7 4.1 2.1 6.7 3.1 5.4 0.1 2.3 2.6 ...
## $ X3PP: num 0.317 0.344 0.351 0.359 0.404 0.422 0.415 0 0.364 0.371 ...
## $ ORB : num 1.1 1.3 1.1 1.1 0.7 1 0.6 3.4 0.9 1.6 ...
## $ DRB : num 3.9 6.3 4.1 7.3 4.4 5.5 3 7.5 4.7 5.2 ...
## $ TRB : num 5 7.6 5.2 8.4 5.1 6.5 3.6 11 5.5 6.8 ...
## $ AST : num 7.5 7.2 4.9 2.4 2.7 2.8 2.7 1.6 11 3.4 ...
## $ STL : num 2.2 1.7 1.5 0.8 1 1.3 1.2 0.8 2.8 1.1 ...
## $ BLK : num 1.3 1.1 0.5 0.8 1.4 0.7 0.2 1.7 0.1 0.4 ...
## $ TO : num 3.4 3 2.6 1.9 2.5 3 2.9 1.8 3 3 ...
## $ PF : num 2.3 1.7 2.3 2.2 3.1 1.8 2.3 2.8 2.7 3 ...library(factoextra)## Loading required package: ggplot2## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBalibrary(FactoMineR)
## ACP :
x= scale(nba[,2:20],center=TRUE, scale=TRUE)
res.acp = PCA(x, graph = FALSE)
# Ebouli des valeurs propres
fviz_eig(res.acp)
#L'ébloui des valeurs propres montre que les deux premiers axes expliquent une part importante de la variance (environ 40%). On peut donc choisir de retenir deux axes pour l'analyse.
## CAH :
dist = dist(x, method = "euclidean")
dist## Dwyane Wade LeBron James Kobe Bryant Dirk Nowitzki
## LeBron James 3.038738
## Kobe Bryant 4.196006 3.435945
## Dirk Nowitzki 6.487238 4.857181 3.633008
## Danny Granger 6.370495 5.280483 3.686476 4.667908
## Kevin Durant 5.095430 3.571702 2.687207 3.097109
## Kevin Martin 6.975913 5.845129 5.232534 6.377575
## Al Jefferson 8.648137 7.591491 6.902098 5.297983
## Chris Paul 5.957688 5.765061 5.505492 7.339501
## Carmelo Anthony 6.281186 5.134330 3.524376 4.203614
## Chris Bosh 7.285436 5.657605 5.407999 3.679900
## Brandon Roy 6.650430 5.135738 3.603440 4.125961
## Antawn Jamison 7.760902 6.140175 4.847563 4.010636
## Tony Parker 7.299117 6.405595 4.764888 5.719796
## Amare Stoudemire 7.866682 6.675830 5.987171 4.937564
## Joe Johnson 7.170465 5.919992 4.087582 5.242862
## Devin Harris 6.483014 5.706886 4.956390 6.630182
## Michael Redd 8.450338 6.962033 5.075349 5.839658
## David West 8.252178 6.872318 5.543837 3.564428
## Zachary Randolph 8.410916 6.864707 5.669161 4.767121
## Caron Butler 6.618387 5.490489 4.150047 5.054886
## Vince Carter 7.661547 6.307864 4.355544 4.975130
## Stephen Jackson 6.721125 5.839475 4.993188 6.618140
## Ben Gordon 8.133711 6.785708 4.677693 5.523714
## Dwight Howard 10.979736 9.876768 10.865927 9.747346
## Paul Pierce 7.544939 6.016967 4.781068 5.046635
## Al Harrington 8.794301 7.415416 5.433733 5.929851
## Jamal Crawford 8.828590 7.283380 5.743874 6.550879
## Yao Ming 10.854293 9.576099 8.956371 7.728647
## Richard Jefferson 8.682139 7.367211 5.518071 5.573121
## Jason Terry 9.516265 8.277868 6.014669 7.017503
## Deron Williams 7.809343 6.829268 5.907901 7.337123
## Tim Duncan 9.621903 7.973412 7.853207 6.450053
## Monta Ellis 7.850876 7.195825 4.995308 5.744063
## Rudy Gay 8.139229 7.028034 5.282058 5.500016
## Pau Gasol 9.788407 8.086518 7.587709 6.083314
## Andre Iguodala 7.507926 6.116756 5.682097 6.247114
## Corey Maggette 9.875752 8.763444 7.378918 7.296411
## O.J. Mayo 8.850818 7.711137 5.613925 6.357115
## John Salmons 8.964826 7.555490 5.827407 6.066028
## Richard Hamilton 9.449459 8.291322 5.959103 6.313375
## Ray Allen 10.507949 8.962863 7.006284 7.244746
## LaMarcus Aldridge 9.414411 8.184945 6.717928 5.708298
## Josh Howard 9.521335 8.188238 6.218358 6.266027
## Maurice Williams 10.141015 8.823296 6.663869 7.227355
## Shaquille O'neal 11.409508 10.314955 9.899701 9.255677
## Rashard Lewis 10.107554 8.416203 6.842791 7.037489
## Chauncey Billups 9.713401 8.233808 6.849861 7.682397
## Allen Iverson 8.518349 7.442852 6.200897 7.066794
## Nate Robinson 10.243984 8.993653 6.953705 7.831983
## Danny Granger Kevin Durant Kevin Martin Al Jefferson
## LeBron James
## Kobe Bryant
## Dirk Nowitzki
## Danny Granger
## Kevin Durant 4.134284
## Kevin Martin 4.700111 4.684157
## Al Jefferson 7.610742 6.780824 9.813783
## Chris Paul 7.370751 5.873439 7.139564 9.306005
## Carmelo Anthony 4.110963 3.597143 5.079915 6.055263
## Chris Bosh 6.061848 4.334998 6.556863 4.294295
## Brandon Roy 5.024780 3.384039 5.122338 6.823281
## Antawn Jamison 5.190313 4.605747 6.739105 4.931679
## Tony Parker 6.739446 5.072257 7.229826 7.402855
## Amare Stoudemire 6.140258 4.888633 6.698171 5.782789
## Joe Johnson 4.486547 4.009753 5.415468 7.632936
## Devin Harris 5.770903 4.904968 3.869622 8.980788
## Michael Redd 5.301255 5.048336 5.741440 8.227146
## David West 5.925930 4.573911 7.075672 4.378026
## Zachary Randolph 6.362309 5.319333 7.828772 4.124784
## Caron Butler 4.988066 3.414373 4.934254 6.871820
## Vince Carter 3.713574 4.490488 5.287637 7.008243
## Stephen Jackson 5.148791 4.487989 4.998713 8.532363
## Ben Gordon 4.247452 4.447639 5.086710 8.023840
## Dwight Howard 10.655385 10.037447 11.422869 7.051783
## Paul Pierce 4.358101 3.883603 4.074442 7.468137
## Al Harrington 4.431946 5.547935 6.403556 7.123038
## Jamal Crawford 5.468156 5.243768 4.981463 9.222678
## Yao Ming 8.395023 7.918837 9.685611 8.613076
## Richard Jefferson 4.738156 5.255324 5.009956 7.478263
## Jason Terry 5.804021 6.410540 7.062629 8.916840
## Deron Williams 6.727089 5.764784 6.226776 9.274241
## Tim Duncan 8.137870 7.238549 9.268617 3.994712
## Monta Ellis 6.036672 5.018770 6.968747 6.847531
## Rudy Gay 5.119153 4.728137 6.298987 6.205098
## Pau Gasol 8.041410 6.483518 8.755409 5.870809
## Andre Iguodala 6.395016 4.698658 5.791503 7.468401
## Corey Maggette 6.779661 7.244765 6.409527 8.228899
## O.J. Mayo 5.262685 5.160231 6.034056 8.246671
## John Salmons 5.550997 5.204366 5.927132 7.850520
## Richard Hamilton 5.941979 6.101374 6.764977 7.827431
## Ray Allen 6.222141 6.655111 6.942915 9.335461
## LaMarcus Aldridge 7.098605 6.239775 8.294208 4.570091
## Josh Howard 5.934086 6.263091 7.151468 6.917512
## Maurice Williams 5.898262 6.586947 6.983558 9.044402
## Shaquille O'neal 9.873263 9.652147 10.816335 6.916982
## Rashard Lewis 5.506564 6.439094 6.801557 8.384440
## Chauncey Billups 6.341861 6.550091 5.376426 10.068164
## Allen Iverson 7.114703 5.671231 5.889105 8.649237
## Nate Robinson 6.534350 7.417273 7.297624 8.826272
## Chris Paul Carmelo Anthony Chris Bosh Brandon Roy
## LeBron James
## Kobe Bryant
## Dirk Nowitzki
## Danny Granger
## Kevin Durant
## Kevin Martin
## Al Jefferson
## Chris Paul
## Carmelo Anthony 6.088121
## Chris Bosh 7.193766 3.979053
## Brandon Roy 5.832463 3.980239 4.701091
## Antawn Jamison 7.151475 3.979804 3.942134 4.050715
## Tony Parker 6.430350 4.895137 6.331529 3.306811
## Amare Stoudemire 6.993505 4.046548 2.953131 5.139692
## Joe Johnson 5.927169 4.231778 6.066136 3.116776
## Devin Harris 4.645931 4.235076 6.117259 4.291156
## Michael Redd 7.492923 5.393877 6.797176 2.958531
## David West 7.479781 4.243350 2.617403 4.466839
## Zachary Randolph 7.692658 3.644677 3.662913 4.911962
## Caron Butler 4.676263 3.055642 4.384097 3.506471
## Vince Carter 6.308502 3.359540 5.431410 3.359336
## Stephen Jackson 5.263473 4.203719 6.322435 5.029691
## Ben Gordon 6.810692 4.258331 6.252842 3.156015
## Dwight Howard 11.380347 8.988335 6.825415 10.444791
## Paul Pierce 5.961535 2.998050 4.639101 3.527337
## Al Harrington 7.509385 4.036690 6.189752 4.897919
## Jamal Crawford 7.423852 5.629094 7.147138 3.791086
## Yao Ming 9.957625 7.072457 6.841588 8.226788
## Richard Jefferson 7.165705 3.579506 5.341508 3.931552
## Jason Terry 7.737351 6.116687 7.951594 4.478378
## Deron Williams 5.196479 5.449198 7.111780 4.526669
## Tim Duncan 9.212420 5.955403 4.216995 6.604044
## Monta Ellis 5.689988 3.849260 5.790674 4.176960
## Rudy Gay 6.737108 3.456129 4.973922 4.041251
## Pau Gasol 8.312484 6.096146 4.290098 5.440371
## Andre Iguodala 5.317771 4.659158 5.205740 3.658876
## Corey Maggette 8.096635 4.728106 5.949442 6.348057
## O.J. Mayo 6.774680 4.705741 6.657504 4.312500
## John Salmons 6.690242 4.755994 5.990211 3.490571
## Richard Hamilton 7.536388 4.683136 6.558403 4.003017
## Ray Allen 8.221395 6.624040 7.760298 4.958342
## LaMarcus Aldridge 7.938013 5.192228 4.292215 4.780729
## Josh Howard 7.865955 4.522507 6.057424 4.515656
## Maurice Williams 7.619631 5.747453 7.622695 5.059262
## Shaquille O'neal 10.483280 7.787638 7.114507 8.635837
## Rashard Lewis 8.130354 5.691321 7.081438 5.257890
## Chauncey Billups 6.954077 6.024026 7.585681 4.800849
## Allen Iverson 6.271802 5.207516 6.502494 3.910341
## Nate Robinson 7.796175 5.510454 7.643024 5.508054
## Antawn Jamison Tony Parker Amare Stoudemire Joe Johnson
## LeBron James
## Kobe Bryant
## Dirk Nowitzki
## Danny Granger
## Kevin Durant
## Kevin Martin
## Al Jefferson
## Chris Paul
## Carmelo Anthony
## Chris Bosh
## Brandon Roy
## Antawn Jamison
## Tony Parker 6.085793
## Amare Stoudemire 5.002033 6.162750
## Joe Johnson 4.380603 4.542984 6.334251
## Devin Harris 6.509918 5.218793 5.917447 4.705192
## Michael Redd 4.792350 4.701387 7.053561 3.175010
## David West 3.829875 5.796941 3.517470 5.161498
## Zachary Randolph 2.787398 5.736062 4.347125 5.439181
## Caron Butler 4.290267 4.982193 4.415288 3.191375
## Vince Carter 3.616543 4.955823 5.399698 2.222161
## Stephen Jackson 5.991323 6.016623 6.276992 3.324106
## Ben Gordon 4.781873 4.521274 5.920425 2.257403
## Dwight Howard 9.021922 11.187366 7.065004 11.456922
## Paul Pierce 4.374193 5.135062 4.192914 3.332208
## Al Harrington 3.658944 6.206585 6.066829 3.773872
## Jamal Crawford 5.933682 5.433121 7.350550 2.910756
## Yao Ming 7.856969 8.863443 4.911936 9.024588
## Richard Jefferson 4.230100 5.438980 4.882392 3.879755
## Jason Terry 5.875096 5.304166 7.672038 4.101036
## Deron Williams 7.199319 4.213007 6.605278 4.134815
## Tim Duncan 5.778319 6.882923 5.095454 7.730296
## Monta Ellis 4.968080 3.983161 5.316659 3.912247
## Rudy Gay 3.633821 5.021633 4.568123 3.425619
## Pau Gasol 5.139982 6.371278 3.702838 6.933387
## Andre Iguodala 4.725983 4.944006 5.264158 3.727334
## Corey Maggette 6.490064 7.036976 4.937281 7.039598
## O.J. Mayo 5.208324 5.221795 6.166791 2.576501
## John Salmons 4.556101 4.861652 5.407835 3.144011
## Richard Hamilton 5.371776 4.174618 6.001682 3.892213
## Ray Allen 6.108861 6.325814 7.262103 4.463567
## LaMarcus Aldridge 3.820659 5.795617 4.490438 5.650981
## Josh Howard 4.552081 5.159809 5.650780 4.896821
## Maurice Williams 5.949410 5.785164 6.807324 4.026535
## Shaquille O'neal 7.889931 8.377264 6.296785 9.788041
## Rashard Lewis 4.983933 6.771345 6.839126 4.057803
## Chauncey Billups 6.849785 6.163077 7.206056 4.543655
## Allen Iverson 6.208160 4.428674 6.489622 4.322815
## Nate Robinson 6.133385 6.006263 7.086145 5.373473
## Devin Harris Michael Redd David West Zachary Randolph
## LeBron James
## Kobe Bryant
## Dirk Nowitzki
## Danny Granger
## Kevin Durant
## Kevin Martin
## Al Jefferson
## Chris Paul
## Carmelo Anthony
## Chris Bosh
## Brandon Roy
## Antawn Jamison
## Tony Parker
## Amare Stoudemire
## Joe Johnson
## Devin Harris
## Michael Redd 5.571564
## David West 6.464474 6.126314
## Zachary Randolph 6.910898 6.036715 3.677750
## Caron Butler 3.502129 4.818735 4.168467 4.582131
## Vince Carter 4.625306 3.416149 4.607972 4.634203
## Stephen Jackson 3.785599 5.717355 6.099344 6.324679
## Ben Gordon 4.741626 2.371047 5.305063 5.577621
## Dwight Howard 10.618974 12.015420 8.491563 8.047155
## Paul Pierce 3.449312 4.354454 4.390646 4.875962
## Al Harrington 6.053651 4.061366 5.499479 4.402752
## Jamal Crawford 4.886794 2.575559 6.356022 6.919603
## Yao Ming 9.284421 9.547446 6.889768 6.824529
## Richard Jefferson 4.508954 4.044263 4.662670 4.882986
## Jason Terry 6.310758 2.516577 6.938943 6.728992
## Deron Williams 3.625825 5.581915 6.645413 7.169299
## Tim Duncan 7.916497 7.979773 4.840887 4.381594
## Monta Ellis 4.799683 4.866542 4.701055 4.735501
## Rudy Gay 5.159532 4.258638 4.086622 3.734967
## Pau Gasol 7.749382 7.020857 4.358713 4.293495
## Andre Iguodala 3.932519 4.609502 5.242376 5.231274
## Corey Maggette 5.280638 7.060553 6.044871 6.076593
## O.J. Mayo 5.160584 3.673404 5.361981 5.696057
## John Salmons 4.934219 3.050453 4.986356 5.260712
## Richard Hamilton 5.415018 3.782312 5.234343 5.376223
## Ray Allen 6.687889 3.435731 6.555283 6.988855
## LaMarcus Aldridge 7.019723 5.721190 3.299351 3.390720
## Josh Howard 5.907087 4.057446 5.297197 4.481466
## Maurice Williams 6.141258 3.997170 6.336138 6.399576
## Shaquille O'neal 9.221589 9.572978 7.697646 6.614206
## Rashard Lewis 6.502499 3.867565 6.174516 5.809689
## Chauncey Billups 4.359878 4.298286 7.001462 7.514860
## Allen Iverson 3.570443 4.338444 6.086351 6.374252
## Nate Robinson 5.831858 4.654699 6.982984 6.149645
## Caron Butler Vince Carter Stephen Jackson Ben Gordon
## LeBron James
## Kobe Bryant
## Dirk Nowitzki
## Danny Granger
## Kevin Durant
## Kevin Martin
## Al Jefferson
## Chris Paul
## Carmelo Anthony
## Chris Bosh
## Brandon Roy
## Antawn Jamison
## Tony Parker
## Amare Stoudemire
## Joe Johnson
## Devin Harris
## Michael Redd
## David West
## Zachary Randolph
## Caron Butler
## Vince Carter 3.333304
## Stephen Jackson 2.688739 4.010468
## Ben Gordon 3.646091 2.118844 4.254073
## Dwight Howard 9.635564 10.476935 10.779910 11.453251
## Paul Pierce 2.534340 2.539151 3.495989 2.861915
## Al Harrington 4.281718 2.411540 5.062077 3.187576
## Jamal Crawford 4.483382 3.568929 4.559441 2.345594
## Yao Ming 7.871320 7.926527 9.040733 8.282246
## Richard Jefferson 3.890765 2.244527 4.983246 2.904541
## Jason Terry 5.520091 3.811141 6.311472 2.788581
## Deron Williams 4.205144 4.735855 3.889096 4.390994
## Tim Duncan 6.658149 6.833548 8.143258 7.652485
## Monta Ellis 3.254212 3.649510 4.675847 3.885141
## Rudy Gay 3.005675 2.623579 4.259239 3.165584
## Pau Gasol 5.938561 6.266959 7.843405 6.604258
## Andre Iguodala 2.951631 4.015477 3.888517 4.236619
## Corey Maggette 5.609918 5.398098 6.897688 5.971786
## O.J. Mayo 3.398845 2.706580 3.823734 1.905825
## John Salmons 3.630394 2.599914 4.772478 2.064099
## Richard Hamilton 4.664288 3.032659 5.666976 2.745166
## Ray Allen 5.515387 4.131816 6.381019 2.912286
## LaMarcus Aldridge 4.893526 4.801150 6.922177 5.460184
## Josh Howard 4.907711 3.439462 6.315962 3.722849
## Maurice Williams 4.996702 3.344085 5.601050 2.564661
## Shaquille O'neal 8.601201 8.528485 10.069507 9.153405
## Rashard Lewis 4.986343 3.136706 5.466748 3.081748
## Chauncey Billups 4.862857 4.157058 5.147777 3.513637
## Allen Iverson 3.915807 4.580730 4.718109 4.166472
## Nate Robinson 5.482750 4.090332 6.372200 4.084913
## Dwight Howard Paul Pierce Al Harrington Jamal Crawford
## LeBron James
## Kobe Bryant
## Dirk Nowitzki
## Danny Granger
## Kevin Durant
## Kevin Martin
## Al Jefferson
## Chris Paul
## Carmelo Anthony
## Chris Bosh
## Brandon Roy
## Antawn Jamison
## Tony Parker
## Amare Stoudemire
## Joe Johnson
## Devin Harris
## Michael Redd
## David West
## Zachary Randolph
## Caron Butler
## Vince Carter
## Stephen Jackson
## Ben Gordon
## Dwight Howard
## Paul Pierce 9.636971
## Al Harrington 10.503613 3.735663
## Jamal Crawford 12.420262 3.854421 4.717449
## Yao Ming 9.188604 7.276089 8.190311 9.764916
## Richard Jefferson 10.169753 2.214834 3.162181 4.125523
## Jason Terry 12.741956 5.160540 3.938646 3.633596
## Deron Williams 11.534596 4.279882 6.398996 4.541918
## Tim Duncan 5.624657 6.542408 7.105343 8.513037
## Monta Ellis 10.627539 3.978768 4.274565 5.211137
## Rudy Gay 9.402274 2.981089 2.773478 4.612469
## Pau Gasol 7.712590 5.796744 6.782162 7.699429
## Andre Iguodala 9.422276 3.231138 5.030216 4.456195
## Corey Maggette 9.157022 4.369871 5.634072 7.058690
## O.J. Mayo 11.644764 3.229506 3.276673 3.082384
## John Salmons 10.800652 2.814290 3.405793 3.179845
## Richard Hamilton 11.493029 3.910080 3.960584 4.024837
## Ray Allen 12.591073 4.788130 4.370499 3.484803
## LaMarcus Aldridge 8.439162 5.229192 5.076459 6.582806
## Josh Howard 10.171663 4.230874 3.145708 5.022726
## Maurice Williams 12.264891 4.209911 3.577489 3.878532
## Shaquille O'neal 6.010717 8.107302 8.321307 10.480374
## Rashard Lewis 11.229135 4.114025 2.609541 3.813909
## Chauncey Billups 12.298019 3.939010 5.261580 2.947317
## Allen Iverson 11.193887 4.027349 5.698454 3.799475
## Nate Robinson 11.616694 4.900970 3.776503 5.042350
## Yao Ming Richard Jefferson Jason Terry Deron Williams
## LeBron James
## Kobe Bryant
## Dirk Nowitzki
## Danny Granger
## Kevin Durant
## Kevin Martin
## Al Jefferson
## Chris Paul
## Carmelo Anthony
## Chris Bosh
## Brandon Roy
## Antawn Jamison
## Tony Parker
## Amare Stoudemire
## Joe Johnson
## Devin Harris
## Michael Redd
## David West
## Zachary Randolph
## Caron Butler
## Vince Carter
## Stephen Jackson
## Ben Gordon
## Dwight Howard
## Paul Pierce
## Al Harrington
## Jamal Crawford
## Yao Ming
## Richard Jefferson 7.567783
## Jason Terry 9.621062 4.554125
## Deron Williams 9.198856 5.338765 5.789004
## Tim Duncan 7.841225 6.696657 8.619862 8.034451
## Monta Ellis 8.091141 4.010071 4.747091 4.752525
## Rudy Gay 7.292816 2.873520 4.632153 5.315777
## Pau Gasol 5.364269 6.040600 7.671890 7.349657
## Andre Iguodala 8.554681 4.278623 5.717292 4.168254
## Corey Maggette 7.674224 3.748130 7.079983 6.797717
## O.J. Mayo 8.441072 3.404207 3.516109 4.455875
## John Salmons 7.836571 2.603243 3.292522 4.564991
## Richard Hamilton 8.102962 2.855432 3.397445 4.689122
## Ray Allen 9.039771 4.416789 2.571770 5.897355
## LaMarcus Aldridge 7.237969 4.700304 6.110081 6.999267
## Josh Howard 7.688036 3.024472 3.667175 6.156373
## Maurice Williams 8.436166 3.712192 2.740768 5.136232
## Shaquille O'neal 8.563895 7.817614 9.682945 9.500610
## Rashard Lewis 8.526844 3.721468 3.456714 6.113149
## Chauncey Billups 9.332124 4.027074 4.152639 4.216544
## Allen Iverson 9.455524 4.328337 5.126102 3.901804
## Nate Robinson 8.915788 3.904380 3.385578 5.838850
## Tim Duncan Monta Ellis Rudy Gay Pau Gasol
## LeBron James
## Kobe Bryant
## Dirk Nowitzki
## Danny Granger
## Kevin Durant
## Kevin Martin
## Al Jefferson
## Chris Paul
## Carmelo Anthony
## Chris Bosh
## Brandon Roy
## Antawn Jamison
## Tony Parker
## Amare Stoudemire
## Joe Johnson
## Devin Harris
## Michael Redd
## David West
## Zachary Randolph
## Caron Butler
## Vince Carter
## Stephen Jackson
## Ben Gordon
## Dwight Howard
## Paul Pierce
## Al Harrington
## Jamal Crawford
## Yao Ming
## Richard Jefferson
## Jason Terry
## Deron Williams
## Tim Duncan
## Monta Ellis 6.758544
## Rudy Gay 5.926663 2.696703
## Pau Gasol 4.703674 6.330845 5.379390
## Andre Iguodala 6.371504 4.145292 3.404370 5.615196
## Corey Maggette 6.573105 5.644905 5.268130 6.870169
## O.J. Mayo 7.920999 3.335414 2.755239 6.870937
## John Salmons 7.051182 3.552253 2.583390 5.590709
## Richard Hamilton 7.101248 3.405859 3.465681 6.273202
## Ray Allen 8.716208 5.521233 4.846322 7.101171
## LaMarcus Aldridge 4.484150 4.401378 3.509486 3.703907
## Josh Howard 6.031456 3.634804 2.997187 5.797090
## Maurice Williams 8.382848 4.482965 4.050975 7.044563
## Shaquille O'neal 4.623724 8.178991 7.393833 6.216043
## Rashard Lewis 7.655079 5.234368 3.661465 6.820246
## Chauncey Billups 8.688567 5.434033 5.215180 7.718548
## Allen Iverson 7.368531 3.788513 4.196850 6.949150
## Nate Robinson 7.739997 4.638596 4.513926 7.403689
## Andre Iguodala Corey Maggette O.J. Mayo John Salmons
## LeBron James
## Kobe Bryant
## Dirk Nowitzki
## Danny Granger
## Kevin Durant
## Kevin Martin
## Al Jefferson
## Chris Paul
## Carmelo Anthony
## Chris Bosh
## Brandon Roy
## Antawn Jamison
## Tony Parker
## Amare Stoudemire
## Joe Johnson
## Devin Harris
## Michael Redd
## David West
## Zachary Randolph
## Caron Butler
## Vince Carter
## Stephen Jackson
## Ben Gordon
## Dwight Howard
## Paul Pierce
## Al Harrington
## Jamal Crawford
## Yao Ming
## Richard Jefferson
## Jason Terry
## Deron Williams
## Tim Duncan
## Monta Ellis
## Rudy Gay
## Pau Gasol
## Andre Iguodala
## Corey Maggette 6.245282
## O.J. Mayo 4.176268 6.217303
## John Salmons 3.340201 5.489450 2.130395
## Richard Hamilton 5.043044 5.147133 3.029600 2.686836
## Ray Allen 5.729966 6.926262 3.250277 2.822235
## LaMarcus Aldridge 4.961907 6.045665 5.383402 4.442691
## Josh Howard 4.984433 4.623224 4.034443 3.119540
## Maurice Williams 5.465258 6.105725 2.382785 2.508665
## Shaquille O'neal 8.019151 6.529069 9.412213 8.260644
## Rashard Lewis 4.998688 6.377110 3.027258 2.767346
## Chauncey Billups 4.844880 5.837469 3.856331 3.391537
## Allen Iverson 3.081390 5.994235 4.137014 3.610668
## Nate Robinson 5.845021 4.915234 4.264552 3.862991
## Richard Hamilton Ray Allen LaMarcus Aldridge Josh Howard
## LeBron James
## Kobe Bryant
## Dirk Nowitzki
## Danny Granger
## Kevin Durant
## Kevin Martin
## Al Jefferson
## Chris Paul
## Carmelo Anthony
## Chris Bosh
## Brandon Roy
## Antawn Jamison
## Tony Parker
## Amare Stoudemire
## Joe Johnson
## Devin Harris
## Michael Redd
## David West
## Zachary Randolph
## Caron Butler
## Vince Carter
## Stephen Jackson
## Ben Gordon
## Dwight Howard
## Paul Pierce
## Al Harrington
## Jamal Crawford
## Yao Ming
## Richard Jefferson
## Jason Terry
## Deron Williams
## Tim Duncan
## Monta Ellis
## Rudy Gay
## Pau Gasol
## Andre Iguodala
## Corey Maggette
## O.J. Mayo
## John Salmons
## Richard Hamilton
## Ray Allen 3.746654
## LaMarcus Aldridge 4.698800 6.106457
## Josh Howard 2.735058 4.416235 3.877072
## Maurice Williams 2.711036 2.054787 5.876846 3.756723
## Shaquille O'neal 8.258278 9.828283 6.343887 6.949495
## Rashard Lewis 4.026395 2.817863 5.529917 3.673281
## Chauncey Billups 4.036687 3.622482 6.869038 4.872425
## Allen Iverson 4.133545 5.539133 5.638618 4.602298
## Nate Robinson 3.173877 4.144739 5.782720 2.657768
## Maurice Williams Shaquille O'neal Rashard Lewis
## LeBron James
## Kobe Bryant
## Dirk Nowitzki
## Danny Granger
## Kevin Durant
## Kevin Martin
## Al Jefferson
## Chris Paul
## Carmelo Anthony
## Chris Bosh
## Brandon Roy
## Antawn Jamison
## Tony Parker
## Amare Stoudemire
## Joe Johnson
## Devin Harris
## Michael Redd
## David West
## Zachary Randolph
## Caron Butler
## Vince Carter
## Stephen Jackson
## Ben Gordon
## Dwight Howard
## Paul Pierce
## Al Harrington
## Jamal Crawford
## Yao Ming
## Richard Jefferson
## Jason Terry
## Deron Williams
## Tim Duncan
## Monta Ellis
## Rudy Gay
## Pau Gasol
## Andre Iguodala
## Corey Maggette
## O.J. Mayo
## John Salmons
## Richard Hamilton
## Ray Allen
## LaMarcus Aldridge
## Josh Howard
## Maurice Williams
## Shaquille O'neal 9.266111
## Rashard Lewis 2.637360 8.981260
## Chauncey Billups 3.562133 10.006716 4.070709
## Allen Iverson 5.232525 8.980469 5.518978
## Nate Robinson 3.210075 8.212665 3.778351
## Chauncey Billups Allen Iverson
## LeBron James
## Kobe Bryant
## Dirk Nowitzki
## Danny Granger
## Kevin Durant
## Kevin Martin
## Al Jefferson
## Chris Paul
## Carmelo Anthony
## Chris Bosh
## Brandon Roy
## Antawn Jamison
## Tony Parker
## Amare Stoudemire
## Joe Johnson
## Devin Harris
## Michael Redd
## David West
## Zachary Randolph
## Caron Butler
## Vince Carter
## Stephen Jackson
## Ben Gordon
## Dwight Howard
## Paul Pierce
## Al Harrington
## Jamal Crawford
## Yao Ming
## Richard Jefferson
## Jason Terry
## Deron Williams
## Tim Duncan
## Monta Ellis
## Rudy Gay
## Pau Gasol
## Andre Iguodala
## Corey Maggette
## O.J. Mayo
## John Salmons
## Richard Hamilton
## Ray Allen
## LaMarcus Aldridge
## Josh Howard
## Maurice Williams
## Shaquille O'neal
## Rashard Lewis
## Chauncey Billups
## Allen Iverson 3.852069
## Nate Robinson 3.959627 5.032923hc = hclust(dist, method = "ward.D")
hc##
## Call:
## hclust(d = dist, method = "ward.D")
##
## Cluster method : ward.D
## Distance : euclidean
## Number of objects: 50plot=plot(hc, hang=-1)
#Le dendrogramme montre une séparation entre 4 groupes de joueurs.
coupe = cutree(hc, k = 4)
coupe## Dwyane Wade LeBron James Kobe Bryant Dirk Nowitzki
## 1 1 1 1
## Danny Granger Kevin Durant Kevin Martin Al Jefferson
## 1 1 1 2
## Chris Paul Carmelo Anthony Chris Bosh Brandon Roy
## 3 4 2 3
## Antawn Jamison Tony Parker Amare Stoudemire Joe Johnson
## 2 3 2 4
## Devin Harris Michael Redd David West Zachary Randolph
## 3 4 2 2
## Caron Butler Vince Carter Stephen Jackson Ben Gordon
## 3 4 3 4
## Dwight Howard Paul Pierce Al Harrington Jamal Crawford
## 2 4 4 4
## Yao Ming Richard Jefferson Jason Terry Deron Williams
## 2 4 4 3
## Tim Duncan Monta Ellis Rudy Gay Pau Gasol
## 2 4 4 2
## Andre Iguodala Corey Maggette O.J. Mayo John Salmons
## 3 4 4 4
## Richard Hamilton Ray Allen LaMarcus Aldridge Josh Howard
## 4 4 2 4
## Maurice Williams Shaquille O'neal Rashard Lewis Chauncey Billups
## 4 2 4 4
## Allen Iverson Nate Robinson
## 3 4# ACP avec variable qualitative
nba$class = as.factor(coupe)
#ACP en considérant les classes comme qualitative supplémentaire
acp2 = PCA(x, quali.sup = ncol(x), graph = FALSE)
## Représentation les individus par groupes
# En utilisant l'habillage
fviz_pca_ind(acp2, habillage = nba$class)
# En utilisant la méthode HCPC
res = HCPC(acp2, nb.clust = 4)
# On ajoute l'ellipse de confiance
fviz_pca_ind(acp2, habillage = nba$class, palette = "jco", geom = "point",
addEllipses = TRUE, ellipse.type = "confidence",
legend.title = "Classes")
L’analyse montre que les deux premiers axes de l’ACP permettent de distinguer 4 groupes de joueurs :
Groupe 1: joueurs avec des scores élevés sur les variables PTS, FGM, FGP, 3PM et 3P%. Ce groupe correspond aux joueurs les plus prolifiques. Groupe 2: joueurs avec des scores élevés sur les variables AST, STL et TO. Ce groupe correspond aux meneurs de jeu et aux joueurs créatifs. Groupe 3: joueurs avec des scores élevés sur les variables TRB, DRB et ORB. Ce groupe correspond aux rebondeurs. Groupe 4: joueurs avec des scores élevés sur les variables PF et BLK. Ce groupe correspond aux joueurs intérieurs et aux défenseurs. L’analyse CAH confirme cette segmentation en quatre groupes.