Corrélations canoniques

(1)

Corrélations canoniques

> ca$cor

[1] 0.9201449 0.8920570 0.7535394 0.6721420 0.6004977 0.4801230 0.4255486 0.3118120 0.2388509

> barplot(ca$cor)

0.00.20.40.60.8

U=as.matrix(dpts)%*%ca$xcoef[,1:2]

V=as.matrix(cand)%*%ca$ycoef[,1:2]

C=0.5*(U+V)

coordX=cor(dpts,C)

coordY=cor(cand,C)

a=seq(0,2*pi,length=100)

(2)

plot( cos(a), sin(a), type='l', lty=3,xlab='comp 1', ylab='comp 2',main="Représenta2on des variables" )

points(coordX[,1],coordX[, 2])

text(coordX[,1],coordX[, 2],label=row.names(coordX), cex=0.7) points(coordY[,1],coordY[, 2], col=2)

text(coordY[,1],coordY[, 2],label=row.names(coordY), col=2,cex=0.7) points(0.25cos(a), 0.25sin(a),type='l', lty=3)

points(0.6cos(a), 0.6sin(a),type='l', lty=3)

-1.0 -0.5 0.0 0.5 1.0

-1.0-0.50.00.51.0

Repré́ senta2on des variables

comp 1

comp 2 _TXCR

ETRA URBR

JEUN AGE

CHOM ARTI AGRI

CADR

EMPL

OUVR PROF

FISC CRIM

FE90

Mitterand Chirac

Barre

Le_Pen

Lajoinie

Waechter Juquin

Laguillier Boussel

> ca$scores$corr.X.xscores[,1:2]

[,1] [,2]

TXCR -0.50979308 0.06597581 ETRA -0.66135563 -0.12403091 URBR -0.51253992 -0.16434622 JEUN 0.30638907 -0.48503427 AGE 0.01279396 0.32716326 CHOM -0.34633828 -0.47723477

> ca$scores$corr.X.yscores[,1:2]

[,1] [,2]

TXCR -0.46908353 0.05885418 ETRA -0.60854304 -0.11064263 URBR -0.47161101 -0.14660619 JEUN 0.28192235 -0.43267819 AGE 0.01177230 0.29184826 CHOM -0.31868142 -0.42572059

(3)

AGRI 0.44694045 0.42821026 ARTI -0.30100360 0.45734238 CADR -0.48463356 0.26260568 EMPL -0.61429021 -0.13031458 OUVR 0.56089032 -0.65364667 PROF -0.57026665 -0.03358729 FISC -0.61227762 0.07245999 CRIM -0.79067631 -0.07727349 FE90 -0.09097217 -0.49875197

AGRI 0.41124999 0.38198794 ARTI -0.27696693 0.40797545 CADR -0.44593312 0.23425922 EMPL -0.56523603 -0.11624803 OUVR 0.51610039 -0.58309005 PROF -0.52472798 -0.02996178 FISC -0.56338415 0.06463844 CRIM -0.72753681 -0.06893235 FE90 -0.08370758 -0.44491516

> ca$scores$corr.Y.yscores[,1:2]

[,1] [,2]

Mitterand 0.4716527 -0.248937334 Chirac 0.2239691 0.705497291 Barre 0.3868205 0.217938745 Le_Pen -0.7247140 -0.421684891 Lajoinie -0.3732350 -0.310594279 Waechter 0.1174903 -0.007895167 Juquin -0.4338604 0.472928189 Laguillier 0.7161854 -0.365545098 Boussel 0.3166308 -0.243681724

> ca$scores$corr.Y.xscores[,1:2]

[,1] [,2]

Mitterand 0.4339889 -0.222066279 Chirac 0.2060841 0.629343762 Barre 0.3559309 0.194413773 Le_Pen -0.6668419 -0.376166938 Lajoinie -0.3434303 -0.277067786 Waechter 0.1081081 -0.007042939 Juquin -0.3992144 0.421878878 Laguillier 0.6589944 -0.326087045 Boussel 0.2913462 -0.217377976

Individus

> U=ca$scores$xscores[,1:2]

[,1] [,2]

1 -0.53311047 0.519429011 2 0.89615141 -1.805758640 3 0.09844208 -0.259837153 4 -1.53246240 1.046918809 5 -0.39525651 1.558817820 6 -2.45574098 0.499754377 7 -0.07718603 0.433118036 8 0.44122341 -2.089847250 9 -0.81472993 -0.012098987 10 0.60974922 -1.323077671 11 -1.81198007 -1.217546431 12 0.81681532 2.062370059 13 -1.65585686 -0.844701079 14 0.57570933 -0.063589283 15 1.27705813 2.125941024 16 0.95361441 -0.004471512 17 0.13882650 0.252204450 18 0.22912965 -0.490400740 19 0.09506905 0.787712286 21 0.09810972 0.054680867 22 0.65469848 1.012756108 23 0.37974080 0.367208190 24 0.24765737 0.570334402

> V=ca$scores$yscores[,1:2]

[,1] [,2]

1 -0.4300196703 0.663218734 2 0.7626680793 -1.957879218 3 0.2611258115 -0.915346274 4 -1.7646246344 1.174690668 5 -0.3413396764 1.231156939 6 -2.1242823963 -0.024559666 7 -0.2308712289 0.744155897 8 0.2294320121 -1.488281175 9 -0.4331303871 -0.058220904 10 0.3799670959 -0.469466382 11 -0.8947146873 -0.530898719 12 0.9344864369 1.338334329 13 -3.0094201080 -1.330486499 14 0.8041491829 0.179248495 15 1.0242238206 1.781941122 16 0.8300617633 -0.114383459 17 0.6424794183 0.152795489 18 0.6862812035 -1.052196673 19 -0.1013936736 2.012585295 21 0.0412573461 0.418009734 22 0.8786921896 0.239462689 23 0.4825978538 0.414126397 24 -0.1403072418 0.485230623

(4)

25 0.47808909 -0.609090113 26 -1.03200420 -0.146209721 27 0.52167371 -0.311666644 28 0.33402130 -0.575866567 29 0.60248262 0.650825672 30 -1.95587204 -0.746308788 31 -1.30465556 1.057635104 32 0.29091478 1.826073359 33 -0.56446429 0.181347919 34 -2.25171094 -0.060735605 35 1.29619559 0.669472727 36 1.11174148 -0.037731709 37 0.40714718 0.014089771 38 -0.74255891 0.680380350 39 0.65227033 -0.287381291 40 0.41749631 0.817267900 41 0.79670583 -0.241387403 42 -0.29582237 -0.430387668 43 0.61438686 1.234122326 44 0.68671028 0.188221750 45 -0.07610768 -0.506366763 46 -0.13838654 1.656121381 47 -0.24661698 0.203232147 48 -0.14798590 2.169570962 49 1.26003348 -0.214664022 50 0.97614829 0.389167588 51 0.79311218 -0.701644496 52 1.26931618 -1.007959239 53 2.22540163 0.669783206 54 0.16636918 -0.626360063 55 0.72472549 -0.890070023 56 0.81006988 0.186776935 57 -0.20752796 -1.733855714 58 0.28791097 -0.318444777 59 -0.04778615 -2.042635464 60 0.30263949 -0.731886100 61 1.34197276 0.088150800 62 0.83159564 -2.226972214 63 -0.04615369 0.419940762 64 -0.54998379 0.546898722 65 -0.42687557 0.185924449 66 -2.36618773 -0.492000759 67 0.47656851 -0.456327449 68 0.19578378 -1.244744754 69 -1.04108419 0.517453912 70 0.78810294 -0.878733955 71 0.39048861 -0.343662495 72 1.43461981 -0.506011000 73 -0.54589623 0.931916743 74 -0.54776033 1.219347673 75 -1.65978270 2.204012430 76 0.29554398 -1.378330905 77 -0.98890121 0.094766088 78 -0.20441845 1.775743478 79 1.52670949 0.629433569 80 1.03477553 -1.300628850 81 -0.03225520 0.183250822

25 0.4020744178 -0.112473374 26 -1.0497287969 0.516351240 27 0.3575706287 -0.573363525 28 0.0319833143 -0.301710605 29 0.4165170763 1.294454956 30 -2.0049681942 -0.864136008 31 -0.8221350620 0.547448230 32 0.0453032002 0.551527687 33 -0.0475159916 0.095682668 34 -2.4866758000 0.332431685 35 1.4990803267 0.613479686 36 0.7588184113 -0.930785955 37 0.4807106304 -0.004317948 38 -1.0302052637 0.384651867 39 0.6025184174 -0.593885589 40 0.0430127825 0.802868124 41 0.4628193005 -0.304792960 42 -0.5229932640 -0.309260523 43 0.3255314173 0.521024144 44 0.8872748272 0.663405659 45 0.1717764821 -0.131570604 46 0.2229807969 1.098904789 47 -0.7231171314 -0.083881177 48 0.0440474613 2.108871938 49 1.9226855455 0.468746607 50 1.3111288084 0.623349941 51 0.5265802103 -0.484541684 52 0.5332862585 -1.131346026 53 1.8619163359 1.110506180 54 0.2706871466 -0.937527993 55 0.9803931000 -1.216234156 56 -0.2164645520 1.060540421 57 0.4941524116 -2.277775173 58 0.2758437325 -0.667113785 59 0.2818830486 -2.023415996 60 0.0002737247 -1.590834443 61 1.0471993227 0.389188946 62 1.2876267691 -2.689293949 63 -0.0343508226 0.682174258 64 0.2732644468 1.286684680 65 -0.3878166792 0.711334179 66 -1.9359465975 -0.545727865 67 0.0891216713 -0.748945001 68 0.0580047748 -0.827686513 69 -0.9783037358 0.575337676 70 0.5101001197 -0.543610533 71 0.5703207879 0.058169659 72 1.2889757372 -0.278478665 73 -0.1704989670 0.427123058 74 0.0924228018 1.192480009 75 -0.8578074122 2.416285808 76 0.6963269890 -0.950594626 77 -0.7164746256 -0.368884692 78 -0.4495627483 1.168091496 79 2.1018974711 0.332053354 80 0.5819054410 -1.888468956 81 -0.3942631525 -0.104723011

(5)

82 -0.39929732 0.214991866 83 -2.69079009 -0.592652466 84 -1.39094331 -0.566004945 85 1.62363846 0.559432583 86 1.00523973 0.306995247 87 0.31146997 0.392634685 88 0.90028574 -1.374078027 89 0.11695499 -0.606949677 90 -0.36686006 -1.055018021 91 -0.46206059 0.935813434 92 -0.57115697 1.365766597 93 -2.00432907 -2.526445207 94 -0.99615767 -0.205746756 95 -1.23259001 -0.371520004

82 -0.4258684639 -0.122070053 83 -2.5413540683 -0.241493017 84 -1.9265505169 -0.868789259 85 1.7290339890 1.046077107 86 0.8461573707 0.426058410 87 -0.4186232600 0.975801381 88 0.8735812732 -0.921519992 89 -0.1622171632 -0.233243228 90 0.3144638874 -1.389437186 91 -1.2435393865 1.076336149 92 -0.7007693709 1.090684777 93 -1.7022687411 -1.706830497 94 -1.0540113095 -0.068594804 95 -1.0545400994 -0.504004844

> plot(U[,1],U[,2], main="representation des individus", col=0)

> text(U[,1],U[,2], label=rownames(X))

> plot(U[,1],U[,2], main="representation des individus", col=0)

> text(U[,1],U[,2], label=rownames(X), cex=0.7)

> text(V[,1],V[,2], label=rownames(Y), col=2,cex=0.7)

> abline(h=0)

> abline(v=0)

(6)

-2 -1 0 1 2

-2-1012

representation des individus

U[, 1]

U[, 2]

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Corrélations canoniques