<table><caption>Tableau global pour les 19 étudiants</caption><thead><tr><th>n°</th><th>1-TR</th><th>P-TR</th><th>2-TR</th><th>V-TR</th><th>3-TR</th><th>4-TR</th><th>E-TR</th><th>1-N</th><th>P-N</th><th>2-N</th><th>V-N</th><th>3-N</th><th>4-N</th><th>E-N</th></tr></thead><tbody><tr><td>3a</td><td>2</td><td>2</td><td>2</td><td>2</td><td>3</td><td>1</td><td>2</td><td>6</td><td>4</td><td>5</td><td>3</td><td>3</td><td>9</td><td>5</td></tr><tr><td>3b</td><td>3</td><td>2</td><td>2</td><td>3</td><td>3</td><td>3</td><td>3</td><td>4</td><td>3</td><td>4</td><td>1</td><td>2</td><td>5</td><td>2,5</td></tr><tr><td>3e</td><td>3</td><td>3</td><td>2</td><td>2</td><td>1</td><td>3</td><td>2</td><td>0</td><td>1</td><td>5</td><td>4</td><td>7</td><td>4</td><td>6,5</td></tr><tr><td>3g</td><td>3</td><td>3</td><td>2</td><td>3</td><td>3</td><td>1</td><td>2</td><td>3</td><td>1</td><td>4</td><td>2</td><td>3</td><td>8</td><td>5,5</td></tr><tr><td>3h</td><td>3</td><td>3</td><td>3</td><td>3</td><td>3</td><td>3</td><td>2</td><td>1</td><td>2</td><td>0</td><td>2,5</td><td>3</td><td>5</td><td>5,5</td></tr><tr><td>3ae</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>1</td><td>8</td><td>6</td><td>10</td><td>6,5</td><td>7</td><td>9</td><td>8</td></tr><tr><td>4a</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>6</td><td>4</td><td>4</td><td>3,5</td><td>5</td><td>7</td><td>4,5</td></tr><tr><td>4d</td><td>3</td><td>1</td><td>2</td><td>1</td><td>1</td><td>1</td><td>1</td><td>3</td><td>8</td><td>4</td><td>6,5</td><td>6</td><td>9</td><td>7,5</td></tr><tr><td>4g</td><td>2</td><td>2</td><td>1</td><td>3</td><td>2</td><td>2</td><td>1</td><td>6</td><td>4</td><td>8</td><td>2</td><td>4</td><td>7</td><td>7,5</td></tr><tr><td>4i</td><td>3</td><td>3</td><td>2</td><td>2</td><td>2</td><td>3</td><td>3</td><td>3</td><td>2</td><td>4</td><td>4</td><td>5</td><td>2</td><td>4</td></tr><tr><td>4z</td><td>3</td><td>2</td><td>1</td><td>3</td><td>3</td><td>3</td><td>2</td><td>4</td><td>3</td><td>9</td><td>2</td><td>3</td><td>5</td><td>4,5</td></tr><tr><td>4ab</td><td>3</td><td>3</td><td>2</td><td>3</td><td>3</td><td>2</td><td>1</td><td>4</td><td>2</td><td>5</td><td>2,5</td><td>1</td><td>6</td><td>7</td></tr><tr><td>4ad</td><td>3</td><td>2</td><td>1</td><td>2</td><td>2</td><td>3</td><td>2</td><td>2</td><td>3</td><td>10</td><td>3,5</td><td>5</td><td>5</td><td>6,5</td></tr><tr><td>6a</td><td>1</td><td>1</td><td>2</td><td>2</td><td>2</td><td>1</td><td>1</td><td>8</td><td>7</td><td>4</td><td>4</td><td>5</td><td>8</td><td>9</td></tr><tr><td>6k</td><td>1</td><td>2</td><td>1</td><td>1</td><td>1</td><td>2</td><td>1</td><td>8</td><td>4</td><td>8</td><td>5</td><td>7</td><td>6</td><td>9,5</td></tr><tr><td>6p</td><td>2</td><td>2</td><td>1</td><td>1</td><td>1</td><td>3</td><td>1</td><td>5</td><td>4</td><td>10</td><td>6</td><td>7</td><td>5</td><td>7,5</td></tr><tr><td>6r</td><td>1</td><td>2</td><td>1</td><td>1</td><td>2</td><td>2</td><td>3</td><td>8</td><td>4</td><td>8</td><td>5,5</td><td>5</td><td>6</td><td>3,5</td></tr><tr><td>6t</td><td>1</td><td>2</td><td>2</td><td>2</td><td>1</td><td>1</td><td>2</td><td>9</td><td>3</td><td>4</td><td>3</td><td>6</td><td>8</td><td>6,5</td></tr><tr><td>6y</td><td>1</td><td>2</td><td>2</td><td>3</td><td>1</td><td>2</td><td>2</td><td>9</td><td>4</td><td>4</td><td>2,5</td><td>6</td><td>7</td><td>6</td></tr></tbody><tfoot><tr><td colspan="16">R=1 si redoublant</td></tr><tr><td colspan="16">PASS=1 si réussite à l'examen de juin ou de septembre</td></tr></tfoot></table>

<table><caption>Tableaux comparatifs pour les 19 étudiants</caption><thead><tr><th></th><th>EFF</th><th>NOTE</th><th>ECART</th><th>EQ1(2)</th><th>EQ3(2)</th><th>EQ3(0)</th><th>Q(2)</th><th>Q(0)</th><th>AN</th><th>AS(2)</th><th>B=0</th><th>B=1</th><th>B=2</th><th>B>2</th></tr><tr><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th></tr><tr><th></th><th></th><th></th><th colspan="2">MOYENNE</th><th colspan="2">ECART-TYPE</th><th colspan="2">TRANCHE 1</th><th colspan="2">TRANCHE 2</th><th colspan="2">TRANCHE 3</th><th></th><th></th></tr><tr><th></th><th></th><th></th><th>ECH1</th><th>ECH2</th><th>ECH1</th><th>ECH2</th><th>ECH1</th><th>ECH2</th><th>ECH1</th><th>ECH2</th><th>ECH1</th><th>ECH2</th><th>EFF ECH1</th><th></th></tr></thead><tbody><tr><td>ECH 1</td><td>84</td><td>13,42</td><td>3,02</td><td>63%</td><td>15%</td><td>17%</td><td>36%</td><td>33%</td><td>75%</td><td>56%</td><td>38%</td><td>25%</td><td>19%</td><td>18%</td></tr><tr><td>ECH 2</td><td>19</td><td>13,2</td><td>3,22</td><td>47%</td><td>21%</td><td>16%</td><td>32%</td><td>42%</td><td>95%</td><td>58%</td><td>47%</td><td>11%</td><td>26%</td><td>16%</td></tr><tr><td></td><td></td><td></td><td colspan="2">DS1</td><td colspan="2">PART</td><td colspan="2">DS2</td><td colspan="2">V/F</td><td colspan="2">DS3</td><td colspan="2">DS4</td><td></td></tr><tr><td></td><td></td><td></td><td>5,7</td><td>5,11</td><td>2,8</td><td>2,74</td><td>36%</td><td>32%</td><td>31%</td><td>21%</td><td>33%</td><td>47%</td><td>39</td><td></td></tr><tr><td></td><td></td><td></td><td>3,2</td><td>3,63</td><td>1,8</td><td>1,83</td><td>18%</td><td>16%</td><td>41%</td><td>58%</td><td>42%</td><td>26%</td><td>74</td><td></td></tr><tr><td></td><td></td><td></td><td>5,74</td><td>5,79</td><td>2,8</td><td>2,77</td><td>41%</td><td>37%</td><td>50%</td><td>58%</td><td>9%</td><td>5%</td><td>46</td><td></td></tr><tr><td></td><td></td><td></td><td>3,68</td><td>3,63</td><td>1,57</td><td>1,62</td><td>28%</td><td>26%</td><td>41%</td><td>37%</td><td>31%</td><td>37%</td><td>58</td><td></td></tr><tr><td></td><td></td><td></td><td>4,8</td><td>4,74</td><td>2,1</td><td>1,77</td><td>37%</td><td>37%</td><td>39%</td><td>32%</td><td>24%</td><td>32%</td><td>49</td><td></td></tr><tr><td></td><td></td><td></td><td>6,26</td><td>6,37</td><td>1,85</td><td>1,78</td><td>24%</td><td>32%</td><td>46%</td><td>32%</td><td>30%</td><td>37%</td><td>50</td><td></td></tr><tr><td></td><td></td><td></td><td>5,2</td><td>6,13</td><td>2,2</td><td>1,83</td><td>30%</td><td>37%</td><td>36%</td><td>47%</td><td>34%</td><td>16%</td><td>73</td><td></td></tr></tbody></table>
# ANNEXE J-2

## Résultat de l'ACP(*)
sur les variables du prétest
(tranches de notes en comparatif).

### 10 VARIABLES ACTIVES

<table><tr><td>3</td><td>EQ1</td><td>( CONTINUE )</td></tr><tr><td>4</td><td>EQ3</td><td>( CONTINUE )</td></tr><tr><td>5</td><td>EQ3v</td><td>( CONTINUE )</td></tr><tr><td>6</td><td>Q</td><td>( CONTINUE )</td></tr><tr><td>7</td><td>Qvid</td><td>( CONTINUE )</td></tr><tr><td>8</td><td>AS</td><td>( CONTINUE )</td></tr><tr><td>9</td><td>B=0</td><td>( CONTINUE )</td></tr><tr><td>10</td><td>B1/2</td><td>( CONTINUE )</td></tr><tr><td>11</td><td>B>2</td><td>( CONTINUE )</td></tr><tr><td>33</td><td>note</td><td>( CONTINUE )</td></tr></table>

### 23 VARIABLES ILLUSTRATIVES

<table><tr><td>1</td><td>R</td><td>( CONTINUE )</td></tr><tr><td>2</td><td>PAS6</td><td>( CONTINUE )</td></tr><tr><td>12</td><td>D1(1)</td><td>( CONTINUE )</td></tr><tr><td>13</td><td>D1(2)</td><td>( CONTINUE )</td></tr><tr><td>14</td><td>D1(3)</td><td>( CONTINUE )</td></tr><tr><td>15</td><td>P(1)</td><td>( CONTINUE )</td></tr><tr><td>16</td><td>P(2)</td><td>( CONTINUE )</td></tr><tr><td>17</td><td>P(3)</td><td>( CONTINUE )</td></tr><tr><td>18</td><td>D2(1)</td><td>( CONTINUE )</td></tr><tr><td>19</td><td>D2(2)</td><td>( CONTINUE )</td></tr><tr><td>20</td><td>D2(3)</td><td>( CONTINUE )</td></tr><tr><td>21</td><td>V(1)</td><td>( CONTINUE )</td></tr><tr><td>22</td><td>V(2)</td><td>( CONTINUE )</td></tr><tr><td>23</td><td>V(3)</td><td>( CONTINUE )</td></tr><tr><td>24</td><td>D3(1)</td><td>( CONTINUE )</td></tr><tr><td>25</td><td>D3(2)</td><td>( CONTINUE )</td></tr><tr><td>26</td><td>D3(3)</td><td>( CONTINUE )</td></tr><tr><td>27</td><td>D4(1)</td><td>( CONTINUE )</td></tr><tr><td>28</td><td>D4(2)</td><td>( CONTINUE )</td></tr><tr><td>29</td><td>D4(3)</td><td>( CONTINUE )</td></tr><tr><td>30</td><td>E(1)</td><td>( CONTINUE )</td></tr><tr><td>31</td><td>E(2)</td><td>( CONTINUE )</td></tr><tr><td>32</td><td>E(3)</td><td>( CONTINUE )</td></tr></table>

### POIDS DES INDIVIDUS

Poids des individus, uniforme egal a 1. ( POIDS )

<footnote>(*) Fournis par le logiciel SPAD.N</footnote>
APERCU DE LA PRECISION DES CALCULS : TRACE AVANT DIAGONALISATION 10.0000
 somme des valeurs propres 10.0000

<table><caption>HISTOGRAMME DES 10 PREMIERES VALEURS PROPRES</caption><thead><tr><th>NUMERO</th><th>VALEUR PROPRE</th><th>POURCENT.</th><th>POURCENT CUMULE</th><th></th></tr></thead><tbody><tr><td>1</td><td>4.5874</td><td>45.87</td><td>45.87</td><td>*****************************</td></tr><tr><td>2</td><td>1.9774</td><td>19.77</td><td>65.65</td><td>*****************************</td></tr><tr><td>3</td><td>1.1302</td><td>11.30</td><td>76.95</td><td>*****************************</td></tr><tr><td>4</td><td>.9265</td><td>9.26</td><td>86.21</td><td>*****************************</td></tr><tr><td>5</td><td>.6955</td><td>6.96</td><td>93.17</td><td>*****************************</td></tr><tr><td>6</td><td>.4469</td><td>4.47</td><td>97.64</td><td>*****************************</td></tr><tr><td>7</td><td>.1252</td><td>1.25</td><td>98.89</td><td>*****************************</td></tr><tr><td>8</td><td>.0591</td><td>.59</td><td>99.48</td><td>*****************************</td></tr><tr><td>9</td><td>.0520</td><td>.52</td><td>100.00</td><td>*****************************</td></tr><tr><td>10</td><td>0.0000</td><td>0.00</td><td>100.00</td><td>*****************************</td></tr></tbody></table>

<table><caption>MATRICE DES CORRELATIONS</caption><thead><tr><th></th><th>EQ1</th><th>EQ3</th><th>EQ3v</th><th>Q</th><th>Qvid</th><th>AS</th><th>B=0</th><th>B1/2</th><th>B>2</th><th>note</th></tr></thead><tbody><tr><th>EQ1</th><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>EQ3</th><td>.03</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>EQ3v</th><td>-.12</td><td>-.22</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>Q</th><td>.26</td><td>.48</td><td>-.29</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>Qvid</th><td>-.38</td><td>-.18</td><td>.51</td><td>-.58</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>AS</th><td>.17</td><td>.18</td><td>.08</td><td>.12</td><td>-.14</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><th>B=0</th><td>.58</td><td>.29</td><td>-.41</td><td>.72</td><td>-.81</td><td>.38</td><td>1.00</td><td></td><td></td><td></td></tr><tr><th>B1/2</th><td>-.29</td><td>-.13</td><td>.27</td><td>-.52</td><td>.90</td><td>-.01</td><td>-.72</td><td>1.00</td><td></td><td></td></tr><tr><th>B>2</th><td>-.41</td><td>-.22</td><td>.21</td><td>-.29</td><td>-.08</td><td>-.51</td><td>-.41</td><td>-.33</td><td>1.00</td><td></td></tr><tr><th>note</th><td>.48</td><td>.55</td><td>-.33</td><td>.70</td><td>-.56</td><td>.62</td><td>.81</td><td>-.38</td><td>-.61</td><td>1.00</td></tr></tbody></table><table><thead><tr><th></th><th>EQ1</th><th>EQ3</th><th>EQ3v</th><th>Q</th><th>Qvid</th><th>AS</th><th>B=0</th><th>B1/2</th><th>B>2</th><th>note</th></tr></thead><tbody><tr><th>EQ1</th><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>EQ3</th><td>.03</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>EQ3v</th><td>-.12</td><td>-.22</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>Q</th><td>.26</td><td>.48</td><td>-.29</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>Qvid</th><td>-.38</td><td>-.18</td><td>.51</td><td>-.58</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>AS</th><td>.17</td><td>.18</td><td>.08</td><td>.12</td><td>-.14</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><th>B=0</th><td>.58</td><td>.29</td><td>-.41</td><td>.72</td><td>-.81</td><td>.38</td><td>1.00</td><td></td><td></td><td></td></tr><tr><th>B1/2</th><td>-.29</td><td>-.13</td><td>.27</td><td>-.52</td><td>.90</td><td>-.01</td><td>-.72</td><td>1.00</td><td></td><td></td></tr><tr><th>B>2</th><td>-.41</td><td>-.22</td><td>.21</td><td>-.29</td><td>-.08</td><td>-.51</td><td>-.41</td><td>-.33</td><td>1.00</td><td></td></tr><tr><th>note</th><td>.48</td><td>.55</td><td>-.33</td><td>.70</td><td>-.56</td><td>.62</td><td>.81</td><td>-.38</td><td>-.61</td><td>1.00</td></tr></tbody></table>

<table><caption>COORDONNEES DES VARIABLES SUR LES AXES 1 A 5</caption><thead><tr><th rowspan="2">VARIABLES</th><th colspan="5">COORDONNEES</th><th colspan="5">CORRELATIONS VARIABLE-FACTEUR</th><th colspan="5">ANCIENS AXES UNITAIRES</th></tr><tr><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead><tbody><tr><td colspan="16">VARIABLES ACTIVES</td></tr><tr><td>EQ1 - EQ1</td><td>.58</td><td>-.13</td><td>.57</td><td>.26</td><td>-.42</td><td>.56</td><td>-.13</td><td>-.57</td><td>.26</td><td>-.42</td><td>.26</td><td>-.09</td><td>-.54</td><td>.27</td><td>-.50</td></tr><tr><td>EQ3 - EQ3</td><td>.57</td><td>-.21</td><td>.72</td><td>-.19</td><td>-.22</td><td>.47</td><td>-.21</td><td>.72</td><td>-.19</td><td>-.22</td><td>.22</td><td>-.15</td><td>.67</td><td>-.19</td><td>-.27</td></tr><tr><td>EQ3v - EQ3v</td><td>.58</td><td>-.20</td><td>.57</td><td>-.68</td><td>-.38</td><td>.49</td><td>-.20</td><td>-.31</td><td>-.68</td><td>-.38</td><td>-.23</td><td>-.14</td><td>-.29</td><td>-.71</td><td>-.46</td></tr><tr><td>Q</td><td>.59</td><td>.07</td><td>.29</td><td>-.09</td><td>-.28</td><td>.79</td><td>.07</td><td>.29</td><td>-.09</td><td>-.28</td><td>.37</td><td>.05</td><td>.27</td><td>-.10</td><td>-.34</td></tr><tr><td>Qvid</td><td>.59</td><td>.07</td><td>.29</td><td>-.09</td><td>-.28</td><td>.81</td><td>-.52</td><td>-.10</td><td>-.02</td><td>-.17</td><td>-.38</td><td>-.37</td><td>.10</td><td>.02</td><td>-.20</td></tr><tr><td>AS</td><td>.59</td><td>.07</td><td>.29</td><td>-.09</td><td>-.28</td><td>.42</td><td>-.60</td><td>-.21</td><td>-.43</td><td>-.46</td><td>.20</td><td>-.43</td><td>-.20</td><td>-.44</td><td>-.55</td></tr><tr><td>B=0</td><td>.59</td><td>.07</td><td>.29</td><td>-.09</td><td>-.28</td><td>.96</td><td>.07</td><td>-.17</td><td>-.00</td><td>.01</td><td>.45</td><td>.05</td><td>-.16</td><td>-.00</td><td>.01</td></tr><tr><td>B1/2</td><td>.67</td><td>-.68</td><td>.14</td><td>.24</td><td>-.03</td><td>.67</td><td>-.68</td><td>-.14</td><td>.24</td><td>-.03</td><td>-.31</td><td>.48</td><td>.13</td><td>.25</td><td>-.04</td></tr><tr><td>B>2</td><td>.67</td><td>-.68</td><td>.14</td><td>.24</td><td>-.03</td><td>.43</td><td>.81</td><td>.06</td><td>.31</td><td>.03</td><td>-.20</td><td>.58</td><td>.06</td><td>.32</td><td>.03</td></tr><tr><td>note - note</td><td>.59</td><td>.07</td><td>.29</td><td>-.09</td><td>-.28</td><td>.91</td><td>-.34</td><td>.07</td><td>-.11</td><td>.03</td><td>.42</td><td>-.24</td><td>.06</td><td>-.11</td><td>.04</td></tr></tbody></table>

<table><caption>VARIABLES ILLUSTRATIVES</caption><tbody><tr><td>R</td><td>- R</td><td>.12</td><td>.24</td><td>-.36</td><td>-.18</td><td>.13</td><td>.12</td><td>.24</td><td>-.36</td><td>-.18</td><td>.13</td><td></td><td></td><td></td><td></td></tr><tr><td>PASS</td><td>- PASS</td><td>.37</td><td>-.18</td><td>-.09</td><td>-.46</td><td>.05</td><td>.37</td><td>-.18</td><td>-.09</td><td>-.46</td><td>.05</td><td></td><td></td><td></td><td></td></tr><tr><td>D1(1)</td><td>- D1(1)</td><td>.21</td><td>-.01</td><td>-.30</td><td>-.42</td><td>-.42</td><td>.21</td><td>-.01</td><td>-.30</td><td>-.30</td><td>-.42</td><td></td><td></td><td></td><td></td></tr><tr><td>D1(2)</td><td>- D1(2)</td><td>.27</td><td>-.07</td><td>.03</td><td>.07</td><td>.18</td><td>.27</td><td>-.07</td><td>.03</td><td>.07</td><td>.18</td><td></td><td></td><td></td><td></td></tr><tr><td>D1(3)</td><td>- D1(3)</td><td>-.41</td><td>.06</td><td>.26</td><td>.23</td><td>.24</td><td>-.41</td><td>.06</td><td>.26</td><td>.23</td><td>.24</td><td></td><td></td><td></td><td></td></tr><tr><td>P(1)</td><td>- P(1)</td><td>.53</td><td>-.11</td><td>.17</td><td>-.22</td><td>.09</td><td>.53</td><td>-.11</td><td>-.17</td><td>-.22</td><td>.09</td><td></td><td></td><td></td><td></td></tr><tr><td>P(2)</td><td>- P(2)</td><td>.12</td><td>-.17</td><td>-.29</td><td>.06</td><td>-.23</td><td>.12</td><td>-.17</td><td>-.29</td><td>-.06</td><td>-.23</td><td></td><td></td><td></td><td></td></tr><tr><td>P(3)</td><td>- P(3)</td><td>-.57</td><td>.28</td><td>.18</td><td>.12</td><td>.18</td><td>-.57</td><td>.28</td><td>-.18</td><td>.12</td><td>.18</td><td></td><td></td><td></td><td></td></tr><tr><td>D2(1)</td><td>- D2(1)</td><td>.31</td><td>-.13</td><td>-.46</td><td>-.15</td><td>-.17</td><td>.31</td><td>-.13</td><td>-.46</td><td>-.15</td><td>-.17</td><td></td><td></td><td></td><td></td></tr><tr><td>D2(2)</td><td>- D2(2)</td><td>-.19</td><td>.16</td><td>.38</td><td>-.30</td><td>.16</td><td>-.19</td><td>.16</td><td>.38</td><td>-.30</td><td>.16</td><td></td><td></td><td></td><td></td></tr><tr><td>D2(3)</td><td>- D2(3)</td><td>-.26</td><td>-.07</td><td>.15</td><td>.33</td><td>.01</td><td>-.26</td><td>-.07</td><td>.15</td><td>.33</td><td>.01</td><td></td><td></td><td></td><td></td></tr><tr><td>V(1)</td><td>- V(1)</td><td>.38</td><td>-.07</td><td>-.05</td><td>-.06</td><td>-.41</td><td>.38</td><td>-.07</td><td>-.05</td><td>-.06</td><td>-.41</td><td></td><td></td><td></td><td></td></tr><tr><td>V(2)</td><td>- V(2)</td><td>-.01</td><td>.06</td><td>.18</td><td>-.55</td><td>.06</td><td>-.01</td><td>.06</td><td>-.18</td><td>-.55</td><td>.06</td><td></td><td></td><td></td><td></td></tr><tr><td>V(3)</td><td>- V(3)</td><td>.34</td><td>.00</td><td>-.13</td><td>.61</td><td>.32</td><td>.34</td><td>.00</td><td>-.13</td><td>.61</td><td>.32</td><td></td><td></td><td></td><td></td></tr><tr><td>D3(1)</td><td>- D3(1)</td><td>.23</td><td>.11</td><td>-.12</td><td>-.30</td><td>-.29</td><td>.23</td><td>.11</td><td>-.12</td><td>-.30</td><td>-.29</td><td></td><td></td><td></td><td></td></tr><tr><td>D3(2)</td><td>- D3(2)</td><td>.18</td><td>-.14</td><td>-.07</td><td>-.20</td><td>.03</td><td>.18</td><td>-.14</td><td>-.07</td><td>-.20</td><td>.03</td><td></td><td></td><td></td><td></td></tr><tr><td>D3(3)</td><td>- D3(3)</td><td>-.42</td><td>.02</td><td>.20</td><td>.51</td><td>.27</td><td>-.42</td><td>.02</td><td>.20</td><td>.51</td><td>.27</td><td></td><td></td><td></td><td></td></tr><tr><td>D4(1)</td><td>- D4(1)</td><td>.23</td><td>.05</td><td>.20</td><td>.31</td><td>.07</td><td>.23</td><td>.05</td><td>.20</td><td>.31</td><td>.07</td><td></td><td></td><td></td><td></td></tr><tr><td>D4(2)</td><td>- D4(2)</td><td>.06</td><td>-.03</td><td>.11</td><td>-.03</td><td>-.03</td><td>.06</td><td>-.03</td><td>-.11</td><td>-.03</td><td>-.03</td><td></td><td></td><td></td><td></td></tr><tr><td>D4(3)</td><td>- D4(3)</td><td>.27</td><td>-.03</td><td>.09</td><td>.33</td><td>-.04</td><td>-.27</td><td>-.03</td><td>-.09</td><td>.33</td><td>-.04</td><td></td><td></td><td></td><td></td></tr><tr><td>E(1)</td><td>- E(1)</td><td>.61</td><td>.28</td><td>.08</td><td>-.02</td><td>-.14</td><td>.61</td><td>.28</td><td>.08</td><td>-.02</td><td>-.14</td><td></td><td></td><td></td><td></td></tr><tr><td>E(2)</td><td>- E(2)</td><td>.35</td><td>-.28</td><td>.08</td><td>-.09</td><td>.31</td><td>.35</td><td>-.28</td><td>.08</td><td>-.09</td><td>.31</td><td></td><td></td><td></td><td></td></tr><tr><td>E(3)</td><td>- E(3)</td><td>.32</td><td>.01</td><td>-.21</td><td>.10</td><td>-.24</td><td>.32</td><td>.01</td><td>-.21</td><td>.10</td><td>-.24</td><td></td><td></td><td></td><td></td></tr></tbody></table>

$A_{12} = \frac{\text{tiree} \to \text{Rienite}}{(B > 1)}$

$A_{21} = B = \tan2 \leftrightarrow B > 2$
$A_{22} = \text{AS}$

$A_{23} = EQ_1 - AS \leftrightarrow EQ_2 Q$
$EQ_2 V$

la note est peu corrélée.
Distingue plus tôt compétences
différent mais indépendamment
du niveau global.
<table><caption>MATRICE DES CORRELATIONS PERMUTEE SUIVANT LE PREMIER AXE DE L'ANALYSE</caption><thead><tr><th colspan="3">INDIVIDUS</th><th colspan="5">COORDONNEES</th><th colspan="5">CONTRIBUTIONS</th><th colspan="5">COSINUS CARRES</th></tr><tr><th>IDENTIFICATEUR</th><th>P.REL</th><th>DISTO</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead><tbody><tr><td>3a</td><td>5.26</td><td>7.53</td><td>1.91</td><td>.22</td><td>.19</td><td>-.53</td><td>1.01</td><td>4.2</td><td>.1</td><td>.2</td><td>1.6</td><td>7.8</td><td>.49</td><td>.01</td><td>.00</td><td>.04</td><td>.14</td></tr><tr><td>3b</td><td>5.26</td><td>7.78</td><td>-1.60</td><td>-.74</td><td>-.35</td><td>1.82</td><td>-.94</td><td>2.9</td><td>1.5</td><td>.6</td><td>18.9</td><td>6.6</td><td>.33</td><td>.07</td><td>.02</td><td>.43</td><td>.11</td></tr><tr><td>3e</td><td>5.26</td><td>12.07</td><td>-2.35</td><td>-1.80</td><td>-.48</td><td>-1.57</td><td>-.07</td><td>6.3</td><td>8.7</td><td>1.1</td><td>13.9</td><td>.0</td><td>.46</td><td>.27</td><td>.02</td><td>.20</td><td>.00</td></tr><tr><td>3g</td><td>5.26</td><td>7.96</td><td>-2.26</td><td>-.48</td><td>.70</td><td>1.31</td><td>.06</td><td>5.8</td><td>.6</td><td>2.3</td><td>9.7</td><td>.0</td><td>.64</td><td>.03</td><td>.06</td><td>.22</td><td>.00</td></tr><tr><td>3h</td><td>5.26</td><td>8.56</td><td>-2.39</td><td>-.40</td><td>.68</td><td>1.35</td><td>.05</td><td>6.6</td><td>.4</td><td>2.2</td><td>10.3</td><td>.0</td><td>.67</td><td>.02</td><td>.05</td><td>.21</td><td>.00</td></tr><tr><td>3ae</td><td>5.26</td><td>5.62</td><td>1.51</td><td>-.00</td><td>-1.48</td><td>.26</td><td>.73</td><td>2.6</td><td>.0</td><td>10.2</td><td>.4</td><td>4.0</td><td>.41</td><td>.00</td><td>.39</td><td>.01</td><td>.09</td></tr><tr><td>4a</td><td>5.26</td><td>10.24</td><td>-.92</td><td>-1.94</td><td>2.02</td><td>-.17</td><td>.55</td><td>1.0</td><td>10.0</td><td>18.9</td><td>.2</td><td>2.3</td><td>.08</td><td>.37</td><td>.40</td><td>.00</td><td>.03</td></tr><tr><td>4d</td><td>5.26</td><td>13.51</td><td>2.85</td><td>-.38</td><td>1.91</td><td>-1.12</td><td>.39</td><td>9.3</td><td>.4</td><td>16.9</td><td>7.1</td><td>1.2</td><td>.60</td><td>.01</td><td>.27</td><td>.09</td><td>.01</td></tr><tr><td>4g</td><td>5.26</td><td>5.62</td><td>1.51</td><td>-.00</td><td>-1.48</td><td>.26</td><td>.73</td><td>2.6</td><td>.0</td><td>10.2</td><td>.4</td><td>4.0</td><td>.41</td><td>.00</td><td>.39</td><td>.01</td><td>.09</td></tr><tr><td>4f</td><td>5.26</td><td>11.93</td><td>-1.53</td><td>2.93</td><td>.37</td><td>-.10</td><td>.62</td><td>2.7</td><td>22.9</td><td>.6</td><td>1.2</td><td>2.9</td><td>.20</td><td>.72</td><td>.01</td><td>.00</td><td>.03</td></tr><tr><td>4z</td><td>5.26</td><td>7.32</td><td>-1.86</td><td>-1.34</td><td>.30</td><td>.41</td><td>1.17</td><td>4.0</td><td>4.8</td><td>.4</td><td>1.0</td><td>10.4</td><td>.47</td><td>.25</td><td>.01</td><td>.02</td><td>.19</td></tr><tr><td>4ab</td><td>5.26</td><td>12.72</td><td>-1.67</td><td>3.01</td><td>.35</td><td>-.06</td><td>.60</td><td>3.2</td><td>24.1</td><td>.6</td><td>.0</td><td>2.8</td><td>.22</td><td>.71</td><td>.01</td><td>.00</td><td>.03</td></tr><tr><td>4ad</td><td>5.26</td><td>7.75</td><td>2.44</td><td>.03</td><td>-.88</td><td>.01</td><td>.01</td><td>6.8</td><td>.0</td><td>3.6</td><td>.0</td><td>.0</td><td>.77</td><td>.00</td><td>.10</td><td>.00</td><td>.00</td></tr><tr><td>6a</td><td>5.26</td><td>14.96</td><td>3.51</td><td>-.65</td><td>.85</td><td>-.61</td><td>-.60</td><td>14.1</td><td>1.1</td><td>3.4</td><td>2.1</td><td>2.7</td><td>.82</td><td>.03</td><td>.05</td><td>.02</td><td>.02</td></tr><tr><td>6k</td><td>5.26</td><td>11.23</td><td>2.30</td><td>.69</td><td>1.13</td><td>.51</td><td>-1.79</td><td>6.1</td><td>1.3</td><td>5.9</td><td>1.5</td><td>24.3</td><td>.47</td><td>.04</td><td>.11</td><td>.02</td><td>.29</td></tr><tr><td>6p</td><td>5.26</td><td>7.97</td><td>1.90</td><td>.97</td><td>-.50</td><td>.95</td><td>-1.12</td><td>4.2</td><td>2.5</td><td>1.2</td><td>5.1</td><td>9.5</td><td>.46</td><td>.12</td><td>.03</td><td>.11</td><td>.16</td></tr><tr><td>6r</td><td>5.26</td><td>12.09</td><td>-1.69</td><td>-2.07</td><td>-1.54</td><td>-1.05</td><td>-1.07</td><td>3.3</td><td>11.4</td><td>11.0</td><td>6.3</td><td>8.6</td><td>.24</td><td>.35</td><td>.20</td><td>.09</td><td>.09</td></tr><tr><td>6t</td><td>5.26</td><td>19.52</td><td>-3.19</td><td>1.96</td><td>-.28</td><td>-1.93</td><td>-1.07</td><td>11.7</td><td>10.2</td><td>.4</td><td>21.1</td><td>8.7</td><td>.52</td><td>.20</td><td>.00</td><td>.19</td><td>.06</td></tr><tr><td>6y</td><td>5.26</td><td>5.62</td><td>1.51</td><td>-.00</td><td>-1.48</td><td>.26</td><td>.73</td><td>2.6</td><td>.0</td><td>10.2</td><td>.4</td><td>4.0</td><td>.41</td><td>.00</td><td>.39</td><td>.01</td><td>.09</td></tr></tbody></table>

<table><caption>AXE 1 • AXE 2</caption><thead><tr><th></th><th>Qvid</th><th>B1/2</th><th>EQ3v</th><th>B>2</th><th>AS</th><th>EQ3</th><th>EQ1</th><th>Q</th><th>note</th><th>B=0</th></tr></thead><tbody><tr><th>Qvid</th><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>B1/2</th><td>.90</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>EQ3v</th><td>.51</td><td>.27</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>B>2</th><td>-.08</td><td>-.33</td><td>.21</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>AS</th><td>-.14</td><td>-.01</td><td>.08</td><td>-.51</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>EQ3</th><td>-.18</td><td>-.13</td><td>-.22</td><td>-.22</td><td>.18</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><th>EQ1</th><td>-.38</td><td>-.29</td><td>-.12</td><td>-.41</td><td>.17</td><td>.03</td><td>1.00</td><td></td><td></td><td></td></tr><tr><th>Q</th><td>-.58</td><td>-.52</td><td>-.29</td><td>-.29</td><td>.12</td><td>.48</td><td>.26</td><td>1.00</td><td></td><td></td></tr><tr><th>note</th><td>-.56</td><td>-.38</td><td>.33</td><td>-.61</td><td>.62</td><td>.55</td><td>.48</td><td>.70</td><td>1.00</td><td></td></tr><tr><th>B=0</th><td>-.81</td><td>-.72</td><td>-.41</td><td>-.41</td><td>.38</td><td>.29</td><td>.58</td><td>.72</td><td>.81</td><td>1.00</td></tr></tbody></table>

<figure><img src="image_29.png" /></figure>

## TRAITEMENT DES POINTS A PLUS DE 2.30 ECARTS-TYPES DU CENTRE

### POINTS ELOIGNES :

<table><thead><tr><th>IDENTIFICATEUR</th><th>ABSCISSE</th><th>ORDONNEE</th></tr></thead><tbody><tr><td>B1/2</td><td>-.665</td><td>-.681</td></tr><tr><td>B>2</td><td>-.431</td><td>.811</td></tr></tbody></table>

2 POINTS ONT ET E RAMENES SUR LE BORD DU GRAPHIQUE.

### NOMBRE DE POINTS REPRESENTÉS : 33
<figure><img src="image_30.png" /><figcaption>AXE 1 • AXE 3</figcaption></figure>

<figure><img src="image_31.png" /></figure>

La séparation est bien faite car il y a très peu de boundary.
# ANNEXE J-3

## ACP sur les notes aux devoirs.

### EDITION DES VALEURS PROPRES

APERCU DE LA PRECISION DES CALCULS : 
TRACE AVANT DIAGONALISATION ... 7.0000
SOMME DES VALEURS PROPRES ... 7.0000

### HISTOGRAMME DES 7 PREMIERES VALEURS PROPRES

<table><thead><tr><th>NUMERO</th><th>VALEUR PROPRES</th><th>POURCENT</th><th>POURCENT CUMULE</th></tr></thead><tbody><tr><td>1</td><td>3.1776</td><td>45.39</td><td>45.39</td></tr><tr><td>2</td><td>1.4232</td><td>20.33</td><td>65.73</td></tr><tr><td>3</td><td>.8133</td><td>11.62</td><td>77.34</td></tr><tr><td>4</td><td>.6215</td><td>8.88</td><td>86.22</td></tr><tr><td>5</td><td>.5384</td><td>7.69</td><td>93.91</td></tr><tr><td>6</td><td>.2719</td><td>3.88</td><td>97.80</td></tr><tr><td>7</td><td>.1541</td><td>2.20</td><td>100.00</td></tr></tbody></table>

### MATRICE DES CORRELATIONS

<table><thead><tr><th></th><th>1-N</th><th>P-N</th><th>2-N</th><th>V-N</th><th>3-N</th><th>4-N</th><th>E-N</th></tr></thead><tbody><tr><th>1-N</th><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>P-N</th><td>.48</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>2-N</th><td>.22</td><td>.18</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><th>V-N</th><td>.19</td><td>.58</td><td>.39</td><td>1.00</td><td></td><td></td><td></td></tr><tr><th>3-N</th><td>.29</td><td>.37</td><td>.34</td><td>.74</td><td>1.00</td><td></td><td></td></tr><tr><th>4-N</th><td>.57</td><td>.60</td><td>-.03</td><td>.17</td><td>.06</td><td>1.00</td><td></td></tr><tr><th>E-N</th><td>.25</td><td>.44</td><td>.26</td><td>.45</td><td>.49</td><td>.37</td><td>1.00</td></tr></tbody></table><table><thead><tr><th>1-N</th><th>P-N</th><th>2-N</th><th>V-N</th><th>3-N</th><th>4-N</th><th>E-N</th></tr></thead><tbody><tr><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr></tbody></table>
COORDONNEES DES VARIABLES SUR LES AXES 1 A 5

<table><thead><tr><th colspan="2">VARIABLES</th><th colspan="5">COORDONNEES</th><th colspan="5">CORRELATIONS VARIABLE-FACTEUR</th><th colspan="5">ANCIENS AXES UNITAIRES</th></tr><tr><th>IDENT - LIBELLE COURT</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead></table>

VARIABLES ACTIVES

<table><tbody><tr><td>1-N</td><td>-60</td><td>.44</td><td>-.47</td><td>-.22</td><td>.38</td><td>-.60</td><td>-.44</td><td>-.47</td><td>-.22</td><td>.38</td><td>-.34</td><td>-.37</td><td>-.52</td><td>-.28</td><td>.52</td></tr><tr><td>P-N</td><td>-.80</td><td>.31</td><td>-.12</td><td>-.16</td><td>-.34</td><td>-.80</td><td>-.31</td><td>-.12</td><td>-.16</td><td>-.34</td><td>-.45</td><td>-.26</td><td>-.14</td><td>-.20</td><td>-.46</td></tr><tr><td>2-N</td><td>-.46</td><td>.47</td><td>-.66</td><td>-.24</td><td>-.25</td><td>-.46</td><td>.47</td><td>-.66</td><td>-.24</td><td>-.25</td><td>-.26</td><td>.40</td><td>-.73</td><td>.31</td><td>-.34</td></tr><tr><td>V-N</td><td>-.78</td><td>.40</td><td>-.22</td><td>-.24</td><td>-.21</td><td>.78</td><td>.40</td><td>-.22</td><td>-.24</td><td>-.21</td><td>-.44</td><td>.34</td><td>.24</td><td>-.31</td><td>-.28</td></tr><tr><td>3-N</td><td>-.73</td><td>.47</td><td>-.16</td><td>-.22</td><td>.33</td><td>-.73</td><td>.47</td><td>-.16</td><td>-.22</td><td>.33</td><td>-.41</td><td>.39</td><td>.17</td><td>-.28</td><td>.45</td></tr><tr><td>4-N</td><td>-.56</td><td>.72</td><td>-.04</td><td>-.13</td><td>-.13</td><td>-.56</td><td>-.72</td><td>-.04</td><td>-.13</td><td>-.13</td><td>-.31</td><td>-.61</td><td>.05</td><td>-.16</td><td>-.18</td></tr><tr><td>E-N</td><td>-.70</td><td>.06</td><td>-.26</td><td>-.60</td><td>.22</td><td>-.70</td><td>.06</td><td>-.26</td><td>.60</td><td>-.22</td><td>-.40</td><td>.05</td><td>.29</td><td>.77</td><td>.29</td></tr></tbody></table>

VARIABLES ILLUSTRATIVES

<table><tbody><tr><td>Note - Note</td><td>-.66</td><td>-.13</td><td>.15</td><td>.03</td><td>-.35</td><td>-.66</td><td>-.13</td><td>.15</td><td>.03</td><td>-.35</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>EQ1 - EQ1</td><td>-.52</td><td>-.02</td><td>-.22</td><td>-.02</td><td>.11</td><td>-.52</td><td>-.02</td><td>-.22</td><td>-.02</td><td>.11</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>EQ3 - EQ3</td><td>-.32</td><td>-.25</td><td>.28</td><td>.15</td><td>-.21</td><td>-.32</td><td>-.25</td><td>.28</td><td>-.15</td><td>-.21</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>QA1 - QA1</td><td>-.26</td><td>-.16</td><td>.32</td><td>.47</td><td>-.29</td><td>-.26</td><td>-.16</td><td>.32</td><td>.47</td><td>-.28</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>QA2 - QA2</td><td>-.45</td><td>-.22</td><td>-.11</td><td>-.16</td><td>-.16</td><td>-.45</td><td>-.22</td><td>-.11</td><td>-.17</td><td>-.16</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>QA3 - QA3*</td><td>-.36</td><td>-.39</td><td>-.14</td><td>.41</td><td>-.25</td><td>-.36</td><td>-.39</td><td>-.14</td><td>.41</td><td>-.25</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>Q - Q</td><td>-.58</td><td>.08</td><td>.11</td><td>-.30</td><td>-.19</td><td>-.58</td><td>.08</td><td>.11</td><td>-.30</td><td>-.19</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>AN - AN</td><td>.08</td><td>.22</td><td>.05</td><td>.09</td><td>-.47</td><td>.08</td><td>.22</td><td>.05</td><td>.09</td><td>-.47</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>AS - AS</td><td>-.43</td><td>-.14</td><td>-.11</td><td>-.08</td><td>-.24</td><td>-.43</td><td>-.14</td><td>-.11</td><td>-.08</td><td>-.24</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>B - B</td><td>.52</td><td>.06</td><td>.03</td><td>-.25</td><td>.27</td><td>.52</td><td>.06</td><td>.03</td><td>-.25</td><td>.27</td><td></td><td></td><td></td><td></td><td></td></tr></tbody></table>

$Axel = \text{Résulte} \rightarrow \text{Echee} \quad \text{DS}_3$

$Axel_2 = \frac{\text{DS}_1 \text{, part} \text{, DS}_4}{\text{(calaul)}} \rightarrow \text{Exam.} \quad \text{DS}_3 \text{, VIF}$

$Axel_3 = \text{DS}_1 \text{, DS}_2 \rightarrow \text{VIF Exam.}$

MATRICE DES CORRELATIONS PERMUTEE SUIVANT LE PREMIER AXE DE L'ANALYSE

<table><thead><tr><th></th><th>P-N</th><th>V-N</th><th>3-N</th><th>E-N</th><th>1-N</th><th>4-N</th><th>2-N</th></tr></thead><tbody><tr><th>P-N</th><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>V-N</th><td>.58</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>3-N</th><td>.37</td><td>.74</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><th>E-N</th><td>.44</td><td>.45</td><td>.49</td><td>1.00</td><td></td><td></td><td></td></tr><tr><th>1-N</th><td>.48</td><td>.19</td><td>.29</td><td>.25</td><td>1.00</td><td></td><td></td></tr><tr><th>4-N</th><td>.60</td><td>.17</td><td>.06</td><td>.37</td><td>.52</td><td>1.00</td><td></td></tr><tr><th>2-N</th><td>.18</td><td>.39</td><td>.34</td><td>.26</td><td>.22</td><td>-.03</td><td>1.00</td></tr><tr><th>P-N</th><td></td><td>V-N</td><td>3-N</td><td>E-N</td><td>1-N</td><td>4-N</td><td>2-N</td></tr></tbody></table>

COORDONNEES, CONTRIBUTIONS ET COSINUS CARRES DES INDIVIDUS SUR LES AXES 1 A 5

<table><thead><tr><th colspan="2">INDIVIDUS</th><th colspan="5">COORDONNEES</th><th colspan="5">CONTRIBUTIONS</th><th colspan="5">COSINUS CARRES</th></tr><tr><th>IDENTIFICATEUR</th><th>P REL</th><th>DISTO</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead><tbody><tr><td>3a</td><td>5.26</td><td>3.80</td><td>.24</td><td>-1.71</td><td>-.31</td><td>-.07</td><td>-.60</td><td>.1</td><td>10.8</td><td>.6</td><td>.0</td><td>3.5</td><td>.02</td><td>.77</td><td>.02</td><td>.00</td><td>.09</td></tr><tr><td>3b</td><td>5.26</td><td>10.49</td><td>2.86</td><td>.84</td><td>.63</td><td>.73</td><td>-.51</td><td>13.6</td><td>2.6</td><td>2.6</td><td>4.5</td><td>2.6</td><td>.78</td><td>.07</td><td>.04</td><td>.05</td><td>.03</td></tr><tr><td>3e</td><td>5.26</td><td>9.29</td><td>1.09</td><td>2.34</td><td>1.28</td><td>.25</td><td>.60</td><td>2.0</td><td>20.3</td><td>10.6</td><td>.5</td><td>3.5</td><td>.13</td><td>.59</td><td>.18</td><td>.01</td><td>.04</td></tr><tr><td>3g</td><td>5.26</td><td>6.17</td><td>1.82</td><td>.88</td><td>.22</td><td>.78</td><td>.09</td><td>5.5</td><td>2.9</td><td>.3</td><td>5.1</td><td>.1</td><td>.53</td><td>.13</td><td>.01</td><td>.10</td><td>.00</td></tr><tr><td>3h</td><td>5.26</td><td>9.92</td><td>2.57</td><td>-.24</td><td>1.77</td><td>.08</td><td>.14</td><td>11.0</td><td>2.02</td><td>.0</td><td>.2</td><td>.67</td><td>.01</td><td>.31</td><td>.00</td><td>.00</td><td>.00</td></tr><tr><td>3ae</td><td>5.26</td><td>13.40</td><td>-.355</td><td>.18</td><td>-.50</td><td>.02</td><td>-.47</td><td>20.8</td><td>.1</td><td>1.6</td><td>.0</td><td>2.1</td><td>.94</td><td>.00</td><td>.02</td><td>.00</td><td>.02</td></tr><tr><td>4a</td><td>5.26</td><td>1.56</td><td>.19</td><td>-.66</td><td>.10</td><td>-.99</td><td>.06</td><td>.1</td><td>1.6</td><td>.1</td><td>8.3</td><td>.0</td><td>.02</td><td>.28</td><td>.01</td><td>.63</td><td>.00</td></tr><tr><td>4d</td><td>5.26</td><td>13.48</td><td>-.250</td><td>-.84</td><td>2.08</td><td>-.41</td><td>-.55</td><td>10.4</td><td>1.1</td><td>27.9</td><td>1.4</td><td>23.3</td><td>.48</td><td>.02</td><td>.32</td><td>.01</td><td>.18</td></tr><tr><td>4g</td><td>5.26</td><td>2.75</td><td>-.20</td><td>-.54</td><td>-.83</td><td>1.19</td><td>.07</td><td>.1</td><td>1.1</td><td>4.4</td><td>12.0</td><td>.0</td><td>.01</td><td>.10</td><td>-.25</td><td>.51</td><td>.00</td></tr><tr><td>4i</td><td>5.26</td><td>8.99</td><td>1.90</td><td>1.78</td><td>-.39</td><td>-.121</td><td>.32</td><td>6.0</td><td>11.7</td><td>1.0</td><td>12.4</td><td>1.0</td><td>.40</td><td>.35</td><td>.02</td><td>-.16</td><td>.01</td></tr><tr><td>4z</td><td>5.26</td><td>5.10</td><td>1.44</td><td>.38</td><td>-.141</td><td>.33</td><td>-.73</td><td>3.4</td><td>.5</td><td>13.0</td><td>.9</td><td>5.3</td><td>.41</td><td>.03</td><td>.39</td><td>.02</td><td>.11</td></tr><tr><td>4ab</td><td>5.26</td><td>6.32</td><td>1.68</td><td>-.65</td><td>-.10</td><td>1.36</td><td>-.26</td><td>4.7</td><td>1.6</td><td>.1</td><td>15.6</td><td>.7</td><td>.44</td><td>.07</td><td>.00</td><td>.29</td><td>.01</td></tr><tr><td>4ad</td><td>5.26</td><td>4.52</td><td>.28</td><td>1.63</td><td>-.56</td><td>.89</td><td>-.68</td><td>.1</td><td>9.8</td><td>2.0</td><td>6.7</td><td>4.5</td><td>.02</td><td>.59</td><td>.07</td><td>.18</td><td>.10</td></tr><tr><td>6a</td><td>5.26</td><td>8.56</td><td>-2.12</td><td>-1.47</td><td>.76</td><td>.37</td><td>.22</td><td>7.4</td><td>8.0</td><td>3.8</td><td>1.2</td><td>.5</td><td>.52</td><td>.25</td><td>.07</td><td>.02</td><td>.01</td></tr><tr><td>6k</td><td>5.26</td><td>7.78</td><td>-2.25</td><td>.88</td><td>-.18</td><td>.68</td><td>1.11</td><td>8.4</td><td>2.9</td><td>.2</td><td>3.9</td><td>12.0</td><td>.65</td><td>.10</td><td>.00</td><td>.06</td><td>.16</td></tr><tr><td>6p</td><td>5.26</td><td>7.47</td><td>-1.73</td><td>2.08</td><td>-.33</td><td>.09</td><td>-.19</td><td>5.0</td><td>15.9</td><td>.7</td><td>.1</td><td>.2</td><td>.40</td><td>.58</td><td>.01</td><td>.00</td><td>.00</td></tr><tr><td>6r</td><td>5.26</td><td>5.47</td><td>-.61</td><td>.38</td><td>-.126</td><td>-.65</td><td>-.47</td><td>.6</td><td>5</td><td>10.2</td><td>23.0</td><td>2.2</td><td>.07</td><td>.03</td><td>.29</td><td>.50</td><td>.04</td></tr><tr><td>6t</td><td>5.26</td><td>4.18</td><td>-.64</td><td>-1.09</td><td>-.19</td><td>-.32</td><td>1.48</td><td>.7</td><td>4.4</td><td>.2</td><td>8</td><td>21.3</td><td>.10</td><td>.29</td><td>.01</td><td>.02</td><td>.52</td></tr><tr><td>6y</td><td>5.26</td><td>3.75</td><td>-.47</td><td>-1.03</td><td>-.30</td><td>-.63</td><td>1.32</td><td>.4</td><td>3.9</td><td>.6</td><td>3.4</td><td>17.1</td><td>.06</td><td>.28</td><td>.02</td><td>.11</td><td>.47</td></tr></tbody></table>

Lg et 6r out deux equipes très faibles, il estohl origaal reprØsente par le 2xe-
<figure><img src="image_32.png" /></figure>

NOMBRE DE POINTS REPRESENTÉS : 19

AXE 1 * AXE 2

AXE 2

<figure><img src="image_33.png" /></figure>
NOMBRE DE POINTS REPRESENTES : 19

<figure><img src="image_34.png" /><figcaption>AXE 1 • AXE 3</figcaption></figure>

<figure><img src="image_35.png" /><figcaption>AXE 1</figcaption></figure>

TRAITEMENT DES POINTS A PLUS DE 2.30 ECARTS-TYPES DU CENTRE

POINTS ELOIGNES :

<table><thead><tr><th>IDENTIFICATEUR</th><th>ABSCISSE</th><th>ORDONNEE</th></tr></thead><tbody><tr><td>4d</td><td>-2.502</td><td>2.078</td></tr></tbody></table>

1 POINTS ONT ET E RAMENES SUR LE BORD DU GRAPHIQUE.

NOMBRE DE POINTS REPRESENTES : 19
ANNEXE J-4

tableau des données par thèmes.

<table><caption>Tableau des données par thèmes</caption><thead><tr><th>n°</th><th>S1</th><th>S2</th><th>DET</th><th>CAL</th><th>EXT</th><th>INT</th><th>EL1</th><th>EL2</th><th>EL3</th><th>MAL</th><th>GEN</th><th>RGN</th></tr></thead><tbody><tr><td>3a</td><td>2</td><td>2</td><td>3,5</td><td>0</td><td>1</td><td>0</td><td>3,5</td><td>3</td><td>1</td><td>1</td><td>0</td><td>0</td></tr><tr><td>3b</td><td>2,5</td><td>1</td><td>3</td><td>1</td><td>1</td><td>1</td><td>1,5</td><td>3</td><td>0</td><td>2</td><td>1</td><td>1</td></tr><tr><td>3e</td><td>1</td><td>0,5</td><td>1</td><td>3</td><td>0</td><td>1</td><td>1</td><td>5</td><td>2,5</td><td>0</td><td>0</td><td>0</td></tr><tr><td>3g</td><td>1,5</td><td>0</td><td>3</td><td>1</td><td>1</td><td>2</td><td>2</td><td>3,5</td><td>2</td><td>1</td><td>1</td><td>0</td></tr><tr><td>3h</td><td>2,5</td><td>1</td><td>3</td><td>1</td><td>0</td><td>1</td><td>0</td><td>3</td><td>1,5</td><td>1</td><td>1</td><td>0</td></tr><tr><td>3ae</td><td>4,5</td><td>2</td><td>4</td><td>1</td><td>2</td><td>0</td><td>4</td><td>5</td><td>3</td><td>0</td><td>0</td><td>0</td></tr><tr><td>4a</td><td>2,5</td><td>0,5</td><td>3</td><td>2</td><td>0</td><td>1</td><td>4</td><td>3</td><td>2</td><td>0</td><td>0</td><td>0</td></tr><tr><td>4d</td><td>2,5</td><td>1</td><td>3</td><td>1</td><td>0</td><td>1</td><td>4</td><td>4,5</td><td>3,5</td><td>0</td><td>0</td><td>0</td></tr><tr><td>4g</td><td>2</td><td>1</td><td>3,5</td><td>0</td><td>1</td><td>1</td><td>3,5</td><td>3</td><td>1</td><td>0</td><td>0</td><td>0</td></tr><tr><td>4i</td><td>0,5</td><td>1,5</td><td>1,5</td><td>3</td><td>0</td><td>1</td><td>1</td><td>3</td><td>0,5</td><td>0</td><td>0</td><td>0</td></tr><tr><td>4z</td><td>4</td><td>0,5</td><td>3</td><td>0</td><td>0</td><td>1</td><td>2</td><td>2,5</td><td>0,5</td><td>1</td><td>1</td><td>0</td></tr><tr><td>4ab</td><td>3</td><td>1,5</td><td>3</td><td>1</td><td>0</td><td>1</td><td>1</td><td>2</td><td>1</td><td>0</td><td>0</td><td>0</td></tr><tr><td>4ad</td><td>3,5</td><td>0,5</td><td>3</td><td>1</td><td>0</td><td>2</td><td>1,5</td><td>4</td><td>1,5</td><td>2</td><td>0</td><td>1</td></tr><tr><td>6a</td><td>4</td><td>2</td><td>3</td><td>0</td><td>0</td><td>0</td><td>3</td><td>4</td><td>3</td><td>2</td><td>0</td><td>0</td></tr><tr><td>6k</td><td>4</td><td>2</td><td>3</td><td>1</td><td>1</td><td>0</td><td>3,5</td><td>5</td><td>1,5</td><td>0</td><td>1</td><td>1</td></tr><tr><td>6p</td><td>2</td><td>2</td><td>2</td><td>1</td><td>1</td><td>0</td><td>2</td><td>4</td><td>3</td><td>0</td><td>1</td><td>0</td></tr><tr><td>6r</td><td>3,5</td><td>1,5</td><td>3</td><td>2</td><td>0</td><td>1</td><td>3</td><td>4</td><td>2,5</td><td>0</td><td>1</td><td>1</td></tr><tr><td>6t</td><td>3</td><td>2</td><td>2,5</td><td>0</td><td>0</td><td>0</td><td>3,5</td><td>4</td><td>2</td><td>0</td><td>0</td><td>0</td></tr><tr><td>6y</td><td>3,5</td><td>1,5</td><td>3</td><td>0</td><td>1</td><td>1</td><td>3</td><td>4</td><td>1,5</td><td>1</td><td>0</td><td>0</td></tr><tr><td>MOY</td><td>2,74</td><td>0,68</td><td>2,84</td><td>1</td><td>0,47</td><td>0,79</td><td>2,47</td><td>3,66</td><td>1,76</td><td>0,58</td><td>0,37</td><td>0,21</td></tr><tr><td>SUR</td><td>5,5</td><td>2</td><td>4</td><td>5</td><td>2</td><td>2</td><td>4</td><td>5</td><td>5</td><td>2</td><td>1</td><td>1</td></tr></tbody></table>
<table><caption>Tableau des données par thèmes</caption><thead><tr><th>n°</th><th>ALG</th><th>SYNT</th><th>LIB</th><th>SOM</th><th>RG</th><th>TRI</th><th>VP</th><th>CTR</th><th>REC</th><th>AFF</th><th>CMAT</th></tr></thead><tbody><tr><td>3a</td><td>2</td><td>0</td><td>2</td><td>2</td><td>1</td><td>0,5</td><td>3</td><td>2</td><td>2</td><td>0</td><td>1</td></tr><tr><td>3b</td><td>0</td><td>0</td><td>0</td><td>1</td><td>2</td><td>0</td><td>2</td><td>1</td><td>1</td><td>0</td><td>0,5</td></tr><tr><td>3e</td><td>1</td><td>0</td><td>1</td><td>4</td><td>3</td><td>0</td><td>3</td><td>3</td><td>1</td><td>0</td><td>1,5</td></tr><tr><td>3g</td><td>1,5</td><td>0</td><td>1</td><td>1</td><td>2</td><td>0</td><td>3</td><td>1</td><td>0</td><td>0</td><td>2</td></tr><tr><td>3h</td><td>0</td><td>0</td><td>0</td><td>2</td><td>2</td><td>0</td><td>2,5</td><td>1</td><td>3</td><td>0</td><td>1</td></tr><tr><td>3ae</td><td>5</td><td>1</td><td>2</td><td>5</td><td>2</td><td>0,5</td><td>2,5</td><td>2</td><td>1</td><td>1</td><td>3</td></tr><tr><td>4a</td><td>3,5</td><td>0</td><td>1,5</td><td>3</td><td>3</td><td>0</td><td>4</td><td>1</td><td>0</td><td>0</td><td>0,5</td></tr><tr><td>4d</td><td>2,5</td><td>0</td><td>2,5</td><td>4</td><td>2</td><td>2</td><td>4</td><td>3</td><td>1</td><td>0</td><td>1,5</td></tr><tr><td>4g</td><td>3,5</td><td>0</td><td>2</td><td>2</td><td>3</td><td>1</td><td>3</td><td>1</td><td>0</td><td>1</td><td>0,5</td></tr><tr><td>4i</td><td>1</td><td>0</td><td>2</td><td>3</td><td>3</td><td>0</td><td>2</td><td>1</td><td>1</td><td>1</td><td>1</td></tr><tr><td>4z</td><td>3,5</td><td>1</td><td>1</td><td>2</td><td>2</td><td>0</td><td>2</td><td>2</td><td>1</td><td>0</td><td>1</td></tr><tr><td>4ab</td><td>1,5</td><td>0</td><td>1,5</td><td>0</td><td>1</td><td>1</td><td>2,5</td><td>0</td><td>0</td><td>0</td><td>2,5</td></tr><tr><td>4ad</td><td>4</td><td>1</td><td>2</td><td>3</td><td>2</td><td>0,5</td><td>2</td><td>1</td><td>1</td><td>0</td><td>2</td></tr><tr><td>6a</td><td>3</td><td>2</td><td>2</td><td>3</td><td>2</td><td>1</td><td>4</td><td>1</td><td>1</td><td>0</td><td>3</td></tr><tr><td>6k</td><td>2</td><td>1</td><td>1,5</td><td>5</td><td>1</td><td>1</td><td>3</td><td>1</td><td>1</td><td>0</td><td>3,5</td></tr><tr><td>6p</td><td>5</td><td>1</td><td>3</td><td>4</td><td>3</td><td>0,5</td><td>3,5</td><td>2</td><td>0</td><td>0</td><td>1,5</td></tr><tr><td>6r</td><td>2</td><td>1</td><td>2</td><td>2</td><td>3</td><td>0,5</td><td>2,5</td><td>2</td><td>0</td><td>0</td><td>1,5</td></tr><tr><td>6t</td><td>1,5</td><td>0</td><td>1</td><td>3</td><td>2</td><td>1</td><td>3,5</td><td>1</td><td>2</td><td>1</td><td>3</td></tr><tr><td>6y</td><td>2,5</td><td>0</td><td>1</td><td>2</td><td>3</td><td>1</td><td>4</td><td>2</td><td>0</td><td>1</td><td>2</td></tr><tr><td>MOY</td><td>2,37</td><td>0,42</td><td>1,53</td><td>2,68</td><td>2,21</td><td>0,55</td><td>2,95</td><td>1,47</td><td>0,84</td><td>0,26</td><td>1,71</td></tr><tr><td>SUR</td><td>8</td><td>4</td><td>3</td><td>4</td><td>4</td><td>2</td><td>4</td><td>4</td><td>3</td><td>1</td><td>4</td></tr></tbody></table>

ANNEXE J-4a

ACP sur les variables
de résolution
de systèmes linéaires.
6 VARIABLES ACTIVES

<table><tr><td>1</td><td>S1</td><td>( CONTINUE )</td></tr><tr><td>2</td><td>S2</td><td>( CONTINUE )</td></tr><tr><td>3</td><td>DET</td><td>( CONTINUE )</td></tr><tr><td>4</td><td>CAL</td><td>( CONTINUE )</td></tr><tr><td>5</td><td>EXT</td><td>( CONTINUE )</td></tr><tr><td>6</td><td>INT</td><td>( CONTINUE )</td></tr></table>

MATRICE DES CORRELATIONS

<table><thead><tr><th></th><th>S1</th><th>S2</th><th>DET</th><th>CAL</th><th>EXT</th><th>INT</th></tr></thead><tbody><tr><th>S1</th><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>S2</th><td>.32</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><th>DET</th><td>.63</td><td>.13</td><td>1.00</td><td></td><td></td><td></td></tr><tr><th>CAL</th><td>.52</td><td>.27</td><td>.64</td><td>1.00</td><td></td><td></td></tr><tr><th>EXT</th><td>.16</td><td>.30</td><td>.45</td><td>.29</td><td>1.00</td><td></td></tr><tr><th>INT</th><td>.29</td><td>.87</td><td>.08</td><td>.28</td><td>.30</td><td>1.00</td></tr><tr><th></th><th>S1</th><th>S2</th><th>DET</th><th>CAL</th><th>EXT</th><th>INT</th></tr></tbody></table>

MATRICE DES CORRELATIONS PERMUTEE SUIVANT LE PREMIER AXE DE L'ANALYSE

<table><thead><tr><th></th><th>CAL</th><th>S1</th><th>DET</th><th>S2</th><th>INT</th><th>EXT</th></tr></thead><tbody><tr><th>CAL</th><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>S1</th><td>.52</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><th>DET</th><td>.64</td><td>.63</td><td>1.00</td><td></td><td></td><td></td></tr><tr><th>S2</th><td>.27</td><td>.32</td><td>.13</td><td></td><td>1.00</td><td></td></tr><tr><th>INT</th><td>.28</td><td>.29</td><td>.08</td><td>.87</td><td>1.00</td><td></td></tr><tr><th>EXT</th><td>.29</td><td>.16</td><td>.45</td><td>.30</td><td>.30</td><td>1.00</td></tr><tr><th></th><th>CAL</th><th>S1</th><th>DET</th><th>S2</th><th>INT</th><th>EXT</th></tr></tbody></table>

EDITION DES VALEURS PROPRES

APERCU DE LA PRECISION DES CALCULS :

TRACE AVANT DIAGONALISATION 6.0000

SOMME DES VALEURS PROPRES 6.0000

HISTOGRAMME DES 6 PREMIERES VALEURS PROPRES

<table><thead><tr><th>NUMERO</th><th>VALEUR PROPRES</th><th>POURCENT.</th><th>POURCENT. CUMULE</th></tr></thead><tbody><tr><td>1</td><td>2.8533</td><td>47.55</td><td>47.55</td></tr><tr><td>2</td><td>1.4867</td><td>24.78</td><td>72.33</td></tr><tr><td>3</td><td>.8562</td><td>14.27</td><td>86.60</td></tr><tr><td>4</td><td>.4673</td><td>7.79</td><td>94.39</td></tr><tr><td>5</td><td>.2122</td><td>3.54</td><td>97.93</td></tr><tr><td>6</td><td>.1244</td><td>2.07</td><td>100.00</td></tr></tbody></table>

COORDONNEES DES VARIABLES SUR LES AXES 1 A 5

<table><thead><tr><th rowspan="2">VARIABLES</th><th colspan="5">COORDONNEES</th><th colspan="5">CORRELATIONS VARIABLE-FACTEUR</th><th colspan="5">ANCIENS AXES UNITAIRES</th></tr><tr><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead><tbody><tr><td>IDEN - LIBELLE COURT</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr></tbody></table>

VARIABLES ACTIVES

<table><tbody><tr><td>S1</td><td>- S1</td><td>-.72</td><td>-.31</td><td>-.43</td><td>-.39</td><td>.21</td><td>-.72</td><td>-.31</td><td>-.43</td><td>-.39</td><td>.21</td><td>-.43</td><td>-.25</td><td>-.46</td><td>-.58</td><td>.45</td></tr><tr><td>S2</td><td>- S2</td><td>-.69</td><td>.66</td><td>-.09</td><td>-.02</td><td>-.14</td><td>-.69</td><td>.66</td><td>-.09</td><td>-.02</td><td>-.14</td><td>-.41</td><td>.54</td><td>-.10</td><td>-.03</td><td>.30</td></tr><tr><td>DET</td><td>- DET</td><td>-.72</td><td>-.59</td><td>.08</td><td>-.09</td><td>.33</td><td>-.72</td><td>-.59</td><td>.08</td><td>-.09</td><td>-.33</td><td>-.43</td><td>-.49</td><td>.09</td><td>-.13</td><td>.72</td></tr><tr><td>CAL</td><td>- CAL</td><td>-.74</td><td>-.35</td><td>-.13</td><td>.54</td><td>.12</td><td>-.74</td><td>-.35</td><td>-.13</td><td>.54</td><td>.12</td><td>-.44</td><td>-.29</td><td>-.14</td><td>.79</td><td>.27</td></tr><tr><td>EXT</td><td>- EXT</td><td>-.57</td><td>-.02</td><td>.80</td><td>-.11</td><td>.15</td><td>-.57</td><td>-.02</td><td>.80</td><td>-.11</td><td>.15</td><td>-.34</td><td>-.02</td><td>.86</td><td>-.17</td><td>.33</td></tr><tr><td>INT</td><td>- INT</td><td>-.67</td><td>.69</td><td>-.07</td><td>.04</td><td>.01</td><td>-.67</td><td>.69</td><td>-.07</td><td>.04</td><td>.01</td><td>-.40</td><td>.57</td><td>-.08</td><td>.06</td><td>.02</td></tr></tbody></table>

$$ \text{AXE 1} = \text{R\'eponse}(-) \leftrightarrow \text{Echelle} (+) $$

$$ \text{AXE 2} = \begin{array}{l} \Sigma_a \text{, DET, CAL} (-) \leftrightarrow \Sigma_b \text{, INT} (+) \\ \text{calcule} \\ \cos \alpha \end{array} $$

$$ \text{AXE 3} = \Sigma_a (-) \leftrightarrow \text{EXT} (+) $$

COORDONNEES, CONTRIBUTIONS ET COSINUS CARRES DES INDIVIDUS SUR LES AXES 1 A 5

<table><thead><tr><th colspan="3">INDIVIDUS</th><th colspan="5">COORDONNEES</th><th colspan="5">CONTRIBUTIONS</th><th colspan="5">COSINUS CARRES</th></tr><tr><th rowspan="2">IDENTIFICATEUR</th><th rowspan="2">P REL</th><th rowspan="2">DISTO</th><th colspan="5">COORDONNEES</th><th colspan="5">CONTRIBUTIONS</th><th colspan="5">COSINUS CARRES</th></tr><tr><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead><tbody><tr><td>3a</td><td>5.26</td><td>6.42</td><td>-1.89</td><td>.72</td><td>.81</td><td>1.03</td><td>-.76</td><td>6.6</td><td>1.9</td><td>4.0</td><td>11.9</td><td>14.5</td><td>.55</td><td>.08</td><td>.10</td><td>.17</td><td>.09</td></tr><tr><td>3b</td><td>5.26</td><td>1.18</td><td>.00</td><td>-.50</td><td>.95</td><td>-.06</td><td>.14</td><td>.0</td><td>.9</td><td>5.6</td><td>.0</td><td>.5</td><td>.00</td><td>.21</td><td>.77</td><td>.00</td><td>.02</td></tr><tr><td>3c</td><td>5.26</td><td>17.21</td><td>3.73</td><td>1.55</td><td>.28</td><td>-.27</td><td>.75</td><td>25.7</td><td>8.5</td><td>.5</td><td>.8</td><td>13.9</td><td>.81</td><td>.14</td><td>.00</td><td>.00</td><td>.03</td></tr><tr><td>3g</td><td>5.26</td><td>10.04</td><td>1.70</td><td>-2.04</td><td>1.67</td><td>.44</td><td>.16</td><td>5.3</td><td>14.7</td><td>17.1</td><td>2.2</td><td>.6</td><td>.29</td><td>.41</td><td>.28</td><td>.02</td><td>.00</td></tr><tr><td>3h</td><td>5.26</td><td>1.03</td><td>.57</td><td>-.46</td><td>.49</td><td>.22</td><td>-.42</td><td>.6</td><td>1.5</td><td>.6</td><td>4.3</td><td>.32</td><td>.21</td><td>.24</td><td>.05</td><td>.17</td><td>.00</td></tr><tr><td>3ae</td><td>5.26</td><td>15.34</td><td>-3.31</td><td>.05</td><td>1.38</td><td>-.57</td><td>-.03</td><td>20.2</td><td>11.7</td><td>27.7</td><td>.0</td><td>.71</td><td>.00</td><td>.12</td><td>.16</td><td>.00</td><td>.00</td></tr><tr><td>4a</td><td>5.26</td><td>3.48</td><td>1.37</td><td>-.58</td><td>-.26</td><td>-.61</td><td>-.48</td><td>3.5</td><td>1.2</td><td>.4</td><td>5.6</td><td>.54</td><td>.09</td><td>.02</td><td>.11</td><td>.06</td><td>.00</td></tr><tr><td>4d</td><td>5.26</td><td>1.03</td><td>.57</td><td>-.46</td><td>-.49</td><td>.22</td><td>-.42</td><td>.6</td><td>1.5</td><td>.6</td><td>4.3</td><td>.32</td><td>.21</td><td>.24</td><td>.05</td><td>.17</td><td>.00</td></tr><tr><td>4g</td><td>5.26</td><td>3.71</td><td>-.59</td><td>-1.06</td><td>1.09</td><td>.98</td><td>-.32</td><td>6.6</td><td>3.9</td><td>7.3</td><td>10.8</td><td>2.5</td><td>.09</td><td>.30</td><td>.32</td><td>.26</td><td>.03</td></tr><tr><td>4i</td><td>5.26</td><td>14.14</td><td>2.97</td><td>2.16</td><td>.41</td><td>-.14</td><td>-.48</td><td>16.3</td><td>16.5</td><td>1.1</td><td>.2</td><td>5.6</td><td>.63</td><td>.33</td><td>.01</td><td>.00</td><td>.02</td></tr><tr><td>4z</td><td>5.26</td><td>4.86</td><td>-.19</td><td>-1.56</td><td>-1.23</td><td>.28</td><td>.75</td><td>.1</td><td>8.6</td><td>9.3</td><td>.9</td><td>14.0</td><td>.01</td><td>.50</td><td>.31</td><td>.02</td><td>.12</td></tr><tr><td>4ab</td><td>5.26</td><td>1.01</td><td>.05</td><td>-.15</td><td>.79</td><td>-.07</td><td>-.44</td><td>.0</td><td>.1</td><td>3.8</td><td>.1</td><td>4.8</td><td>.00</td><td>.02</td><td>.62</td><td>.01</td><td>.19</td></tr><tr><td>4ad</td><td>5.26</td><td>6.54</td><td>1.14</td><td>-2.05</td><td>-.73</td><td>-.40</td><td>.22</td><td>2.4</td><td>14.9</td><td>3.3</td><td>1.8</td><td>1.2</td><td>.20</td><td>.64</td><td>.08</td><td>.02</td><td>.01</td></tr><tr><td>6a</td><td>5.26</td><td>6.30</td><td>1.81</td><td>-.64</td><td>1.58</td><td>.31</td><td>.07</td><td>6.0</td><td>1.5</td><td>15.4</td><td>1.1</td><td>.1</td><td>.52</td><td>.07</td><td>.40</td><td>.02</td><td>.00</td></tr><tr><td>6k</td><td>5.26</td><td>5.26</td><td>-.190</td><td>.93</td><td>.02</td><td>-.82</td><td>.34</td><td>6.7</td><td>3.0</td><td>.0</td><td>7.6</td><td>2.8</td><td>.69</td><td>.16</td><td>.00</td><td>.13</td><td>.02</td></tr><tr><td>6p</td><td>5.26</td><td>5.85</td><td>-.45</td><td>2.13</td><td>.76</td><td>.46</td><td>.56</td><td>4.1</td><td>16.0</td><td>3.5</td><td>2.4</td><td>7.8</td><td>.03</td><td>.77</td><td>.10</td><td>.04</td><td>.05</td></tr><tr><td>6r</td><td>5.26</td><td>2.65</td><td>.32</td><td>.04</td><td>-.85</td><td>-1.20</td><td>-.52</td><td>.2</td><td>.0</td><td>4.5</td><td>16.3</td><td>6.7</td><td>.04</td><td>.00</td><td>.28</td><td>.55</td><td>.10</td></tr><tr><td>6t</td><td>5.26</td><td>5.14</td><td>-1.09</td><td>1.24</td><td>-1.21</td><td>.96</td><td>.18</td><td>2.2</td><td>5.5</td><td>9.0</td><td>10.3</td><td>.8</td><td>.23</td><td>.30</td><td>.29</td><td>.18</td><td>.01</td></tr><tr><td>6y</td><td>5.26</td><td>2.80</td><td>-1.20</td><td>-.62</td><td>.28</td><td>.23</td><td>.63</td><td>2.7</td><td>1.4</td><td>.5</td><td>.6</td><td>9.7</td><td>.52</td><td>.14</td><td>.03</td><td>.02</td><td>.14</td></tr></tbody></table>
<figure><img src="image_36.png" /></figure>

<figure><img src="image_37.png" /></figure>
# ANNEXE J-4b
## ACP sur les variables des questions élémentaires d'algèbre linéaire.

### 6 VARIABLES ACTIVES

7. EL1
8. EL2
9. EL3
10. MAL
11. GEN
12. RGN

### MATRICE DES CORRELATIONS

<table><thead><tr><th></th><th>EL1</th><th>EL2</th><th>EL3</th><th>MAL</th><th>GEN</th><th>RGN</th></tr></thead><tbody><tr><th>EL1</th><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>EL2</th><td>.37</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><th>EL3</th><td>.40</td><td>.69</td><td>1.00</td><td></td><td></td><td></td></tr><tr><th>MAL</th><td>.28</td><td>.19</td><td>.29</td><td>1.00</td><td></td><td></td></tr><tr><th>GEN</th><td>.30</td><td>.08</td><td>.15</td><td>.14</td><td>1.00</td><td></td></tr><tr><th>RGN</th><td>.04</td><td>-.21</td><td>.21</td><td>.29</td><td>.41</td><td>1.00</td></tr><tr><th>*</th><th>EL1</th><th>EL2</th><th>EL3</th><th>MAL</th><th>GEN</th><th>RGN</th></tr></tbody></table>

### MATRICE DES CORRELATIONS PERMUTEE SUIVANT LE PREMIER AXE DE L'ANALYSE

<table><thead><tr><th></th><th>EL3</th><th>EL2</th><th>EL1</th><th>MAL</th><th>GEN</th><th>RGN</th></tr></thead><tbody><tr><th>EL3</th><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>EL2</th><td>.69</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><th>EL1</th><td>.40</td><td>.37</td><td>1.00</td><td></td><td></td><td></td></tr><tr><th>MAL</th><td>.29</td><td>.19</td><td>.28</td><td>1.00</td><td></td><td></td></tr><tr><th>GEN</th><td>.15</td><td>.08</td><td>.30</td><td>.14</td><td>1.00</td><td></td></tr><tr><th>RGN</th><td>.21</td><td>-.21</td><td>.04</td><td>.29</td><td>.41</td><td>1.00</td></tr><tr><th>*</th><th>EL3</th><th>EL2</th><th>EL1</th><th>MAL</th><th>GEN</th><th>RGN</th></tr></tbody></table>

### EDITION DES VALEURS PROPRES

APERCU DE LA PRECISION DES CALCULS :

TRACE AVANT DIAGONALISATION 6.0000

SOMME DES VALEURS PROPRES 6.0000

### HISTOGRAMME DES 6 PREMIERES VALEURS PROPRES

<table><thead><tr><th>NUMERO</th><th>VALEUR PROPRE</th><th>POURCENT.</th><th>POURCENT. CUMULE</th><th></th></tr></thead><tbody><tr><td>1</td><td>2.2841</td><td>38.07</td><td>38.07</td><td>*****************************</td></tr><tr><td>2</td><td>1.4592</td><td>24.32</td><td>62.39</td><td>*****************************</td></tr><tr><td>3</td><td>.8599</td><td>14.33</td><td>76.72</td><td>*****************************</td></tr><tr><td>4</td><td>.7251</td><td>12.08</td><td>88.81</td><td>*****************************</td></tr><tr><td>5</td><td>.4889</td><td>8.15</td><td>96.95</td><td>*****************************</td></tr><tr><td>6</td><td>.1828</td><td>3.05</td><td>100.00</td><td>*****************************</td></tr></tbody></table>
COORDONNEES DES VARIABLES SUR LES AXES 1 A 5

<table><thead><tr><th rowspan="2">VARIABLES</th><th colspan="5">COORDONNEES</th><th colspan="5">CORRELATIONS VARIABLE-FACTEUR</th><th colspan="5">ANCIENS AXES UNITAIRES</th></tr><tr><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead><tbody><tr><td colspan="16">VARIABLES ACTIVES</td></tr><tr><td>EL1 - EL1</td><td>-.70</td><td>-.08</td><td>.29</td><td>.52</td><td>-.38</td><td>-.70</td><td>-.08</td><td>.29</td><td>.52</td><td>-.38</td><td>-.46</td><td>-.07</td><td>.32</td><td>.62</td><td>-.54</td></tr><tr><td>EL2 - EL2</td><td>-.70</td><td>-.59</td><td>-.05</td><td>-.20</td><td>.22</td><td>-.70</td><td>-.59</td><td>.05</td><td>-.20</td><td>.22</td><td>-.46</td><td>-.49</td><td>.05</td><td>-.24</td><td>.32</td></tr><tr><td>EL3 - EL3</td><td>-.82</td><td>-.24</td><td>-.10</td><td>-.40</td><td>-.15</td><td>-.82</td><td>-.24</td><td>-.10</td><td>-.40</td><td>-.15</td><td>-.54</td><td>-.19</td><td>-.11</td><td>-.47</td><td>-.22</td></tr><tr><td>MAL - MAL</td><td>-.56</td><td>.25</td><td>-.65</td><td>.37</td><td>.26</td><td>-.56</td><td>.25</td><td>-.65</td><td>.37</td><td>.26</td><td>-.37</td><td>.21</td><td>-.70</td><td>.44</td><td>.37</td></tr><tr><td>GEN - GEN</td><td>-.47</td><td>.57</td><td>-.56</td><td>.00</td><td>.37</td><td>-.47</td><td>.57</td><td>-.56</td><td>.00</td><td>.37</td><td>-.31</td><td>.47</td><td>.61</td><td>.00</td><td>.53</td></tr><tr><td>RGN - RGN</td><td>-.32</td><td>.82</td><td>-.16</td><td>-.33</td><td>-.26</td><td>-.32</td><td>.82</td><td>-.16</td><td>-.33</td><td>-.26</td><td>-.21</td><td>.67</td><td>-.17</td><td>-.38</td><td>-.37</td></tr></tbody></table>

$$ \text{Axe 1} = \text{Rémite} (-) \leftrightarrow \text{Echee} (+) $$

$$ \text{Axe 2} = \text{EL2, EL3}(\text{EU}) \rightarrow \text{RGN}, \text{GEN}, \text{MAL} (+) $$

$$ \text{Axe 3} = \text{MAL} (-) \rightarrow \text{EL2, EL3, RGN} \rightarrow \text{GEN}, \text{EL2} (+) $$

COORDONNEES, CONTRIBUTIONS ET COSINUS CARRES DES INDIVIDUS SUR LES AXES 1 A 5

<table><thead><tr><th rowspan="2">INDIVIDUS</th><th rowspan="2">IDENTIFICATEUR</th><th rowspan="2">P REL</th><th rowspan="2">DISTO</th><th colspan="5">COORDONNEES</th><th colspan="5">CONTRIBUTIONS</th><th colspan="5">COSINUS CARRES</th></tr><tr><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead><tbody><tr><td>3a</td><td></td><td>5.26</td><td>3.15</td><td>.26</td><td>1.07</td><td>1.09</td><td>.65</td><td>-.53</td><td>.2</td><td>4.1</td><td>7.3</td><td>3.1</td><td>3.0</td><td>.02</td><td>.36</td><td>.38</td><td>.13</td><td>.09</td></tr><tr><td>3b</td><td></td><td>5.26</td><td>13.78</td><td>3.26</td><td>1.51</td><td>.78</td><td>-.46</td><td>-.08</td><td>24.5</td><td>8.3</td><td>3.7</td><td>1.6</td><td>.1</td><td>.77</td><td>.17</td><td>.04</td><td>.02</td><td>.00</td></tr><tr><td>3c</td><td></td><td>5.26</td><td>6.09</td><td>-1.22</td><td>.02</td><td>-.57</td><td>-1.36</td><td>1.50</td><td>3.4</td><td>.0</td><td>2.0</td><td>13.3</td><td>24.4</td><td>.24</td><td>.00</td><td>.05</td><td>.30</td><td>.37</td></tr><tr><td>3g</td><td></td><td>5.26</td><td>2.55</td><td>.64</td><td>-.31</td><td>-.65</td><td>-.77</td><td>-1.00</td><td>.9</td><td>.3</td><td>2.6</td><td>4.3</td><td>10.7</td><td>.16</td><td>.04</td><td>.17</td><td>.23</td><td>.39</td></tr><tr><td>3h</td><td></td><td>5.26</td><td>7.25</td><td>1.97</td><td>-.20</td><td>-1.15</td><td>-1.41</td><td>-.16</td><td>8.9</td><td>.1</td><td>8.1</td><td>14.4</td><td>.3</td><td>.53</td><td>.01</td><td>.18</td><td>.27</td><td>.00</td></tr><tr><td>3ae</td><td></td><td>5.26</td><td>7.30</td><td>-2.66</td><td>-.25</td><td>.17</td><td>-.06</td><td>.03</td><td>16.3</td><td>.2</td><td>.2</td><td>.0</td><td>.0</td><td>.97</td><td>.01</td><td>.00</td><td>.00</td><td>.00</td></tr><tr><td>4a</td><td></td><td>5.26</td><td>3.74</td><td>-1.00</td><td>1.11</td><td>.17</td><td>1.00</td><td>-.49</td><td>2.3</td><td>4.5</td><td>.2</td><td>7.2</td><td>2.6</td><td>.26</td><td>.33</td><td>.01</td><td>.27</td><td>.06</td></tr><tr><td>4d</td><td></td><td>5.26</td><td>7.41</td><td>-2.68</td><td>-.07</td><td>.08</td><td>-.17</td><td>-.27</td><td>16.5</td><td>.0</td><td>.0</td><td>.2</td><td>.8</td><td>.97</td><td>.00</td><td>.00</td><td>.00</td><td>.01</td></tr><tr><td>4g</td><td></td><td>5.26</td><td>3.44</td><td>-.23</td><td>1.35</td><td>.16</td><td>1.24</td><td>-.04</td><td>.1</td><td>6.5</td><td>.2</td><td>11.1</td><td>.0</td><td>.02</td><td>.53</td><td>.01</td><td>.45</td><td>.00</td></tr><tr><td>4i</td><td></td><td>5.26</td><td>5.34</td><td>1.02</td><td>1.59</td><td>-.45</td><td>.20</td><td>1.21</td><td>2.4</td><td>9.1</td><td>1.2</td><td>.3</td><td>15.8</td><td>.19</td><td>.47</td><td>.04</td><td>.01</td><td>.28</td></tr><tr><td>4z</td><td></td><td>5.26</td><td>6.10</td><td>2.04</td><td>.58</td><td>-.53</td><td>.26</td><td>-1.03</td><td>9.6</td><td>1.2</td><td>1.7</td><td>.5</td><td>11.4</td><td>.68</td><td>.05</td><td>.05</td><td>.01</td><td>.17</td></tr><tr><td>4ab</td><td></td><td>5.26</td><td>7.47</td><td>1.28</td><td>2.07</td><td>-.56</td><td>-.23</td><td>-.72</td><td>3.8</td><td>15.4</td><td>1.9</td><td>.4</td><td>5.6</td><td>.22</td><td>.57</td><td>.04</td><td>.01</td><td>.07</td></tr><tr><td>4ad</td><td></td><td>5.26</td><td>9.84</td><td>1.21</td><td>-1.43</td><td>1.92</td><td>-.55</td><td>1.06</td><td>3.4</td><td>7.4</td><td>22.5</td><td>2.2</td><td>12.0</td><td>.17</td><td>.23</td><td>.42</td><td>.03</td><td>.13</td></tr><tr><td>6a</td><td></td><td>5.26</td><td>6.51</td><td>-.74</td><td>-.17</td><td>1.71</td><td>-.147</td><td>.87</td><td>1.3</td><td>.1</td><td>17.9</td><td>15.7</td><td>8.2</td><td>.08</td><td>.00</td><td>.45</td><td>.33</td><td>.12</td></tr><tr><td>6k</td><td></td><td>5.26</td><td>9.40</td><td>-.45</td><td>-.254</td><td>-.62</td><td>1.36</td><td>.40</td><td>.5</td><td>23.4</td><td>2.3</td><td>13.4</td><td>1.7</td><td>.02</td><td>.69</td><td>.04</td><td>.20</td><td>.02</td></tr><tr><td>6p</td><td></td><td>5.26</td><td>4.59</td><td>-.70</td><td>-.53</td><td>-.168</td><td>-.82</td><td>-.55</td><td>1.1</td><td>1.0</td><td>17.2</td><td>4.9</td><td>3.2</td><td>.11</td><td>.06</td><td>.61</td><td>.15</td><td>.07</td></tr><tr><td>6r</td><td></td><td>5.26</td><td>7.02</td><td>-.28</td><td>-.214</td><td>-.93</td><td>.89</td><td>.02</td><td>.2</td><td>16.5</td><td>5.2</td><td>5.7</td><td>.0</td><td>.01</td><td>.65</td><td>.12</td><td>.11</td><td>.00</td></tr><tr><td>6t</td><td></td><td>5.26</td><td>2.41</td><td>-.135</td><td>.56</td><td>.10</td><td>.46</td><td>.11</td><td>4.2</td><td>1.1</td><td>.1</td><td>1.5</td><td>.1</td><td>.76</td><td>.13</td><td>.00</td><td>.09</td><td>.01</td></tr><tr><td>6y</td><td></td><td>5.26</td><td>1.60</td><td>-.38</td><td>.42</td><td>.96</td><td>-.14</td><td>-.04</td><td>.3</td><td>.6</td><td>5.6</td><td>.1</td><td>.0</td><td>.09</td><td>.11</td><td>.57</td><td>.01</td><td>.00</td></tr></tbody></table>

29 VARIABLES ILLUSTRATIVES

<table><tr><td>2</td><td>Pas</td></tr><tr><td>4</td><td>S1</td></tr><tr><td>5</td><td>DET</td></tr><tr><td>6</td><td>CAL</td></tr><tr><td>7</td><td>INF</td></tr><tr><td>8</td><td>AG</td></tr><tr><td>15</td><td>SIN</td></tr><tr><td>17</td><td>LIB</td></tr><tr><td>18</td><td>SIN</td></tr><tr><td>19</td><td>REG</td></tr><tr><td>20</td><td>TRI</td></tr><tr><td>21</td><td>VP</td></tr><tr><td>23</td><td>REC</td></tr><tr><td>24</td><td>AFF</td></tr><tr><td>26</td><td>POT</td></tr><tr><td>27</td><td>EGT</td></tr><tr><td>29</td><td>EGT</td></tr><tr><td>30</td><td>EGT</td></tr><tr><td>31</td><td>O14</td></tr><tr><td>32</td><td>AS</td></tr><tr><td>33</td><td>B12</td></tr><tr><td>35</td><td>B2</td></tr></table>

<figure><img src="image_38.png" /></figure>

6 variables active = EL1, EL2, EL3, GEN, RGN et MAL (exemplars)

NOMBRE DE POINTS A REPRÉSENTER : 35

TRATTEMENT DES POINTS A PLUS DE 2.20 ÉGARTS TYPES DU CENTRE

<table><thead><tr><th>POINTS CLUTIONS :</th><th>IDENTIFICATEUR</th><th>ABSCISSE</th><th>ORDONNEE</th></tr></thead><tbody><tr><td></td><td></td><td>320</td><td>815</td></tr></tbody></table>

1 POINTS DROIT ET RANGEMENTS SUR LE BORD DU GRAPHIQUE.

NOMBRE DE POINTS REPRÉSENTE : 35
Riunit

<figure><img src="image_39.png" /></figure>

Faite maladrene
mais de probabilité
sur les concepts -

( semi-) echee
global

moyen,
globalement

( semi-) echee sur tout
des à des maladrenes

Des maladrenes
mais ce va

ANNEXE J-4c

ACP sur les variables
des questions plus évoluées
d'algèbre linéaire.
## 7 VARIABLES ACTIVES

15. LIB
16. SOM
17. RG
18. TRI
19. VP
20. CTR
21. REC

<table><caption>MATRICE DES CORRELATIONS</caption><thead><tr><th></th><th>LIB</th><th>SOM</th><th>RG</th><th>TRI</th><th>VP</th><th>CTR</th><th>REC</th></tr></thead><tbody><tr><th>LIB</th><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>SOM</th><td>44</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>RG</th><td>14</td><td>.13</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><th>TRI</th><td>45</td><td>.21</td><td>-.24</td><td>1.00</td><td></td><td></td><td></td></tr><tr><th>VP</th><td>28</td><td>.27</td><td>.18</td><td>53</td><td>1.00</td><td></td><td></td></tr><tr><th>CTR</th><td>26</td><td>48</td><td>.31</td><td>.13</td><td>.25</td><td>1.00</td><td></td></tr><tr><th>REC</th><td>38</td><td>-.15</td><td>41</td><td>.10</td><td>.20</td><td>-.04</td><td>1.00</td></tr></tbody></table>

<table><caption>MATRICE DES CORRELATIONS PERMUTÉE SUIVANT LE PREMIER AXE DE L'ANALYSE</caption><thead><tr><th></th><th>RG</th><th>REC</th><th>CTR</th><th>TRI</th><th>SOM</th><th>VP</th><th>LIB</th></tr></thead><tbody><tr><th>RG</th><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>REC</th><td>.41</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>CTR</th><td>.31</td><td>-.04</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><th>TRI</th><td>-.24</td><td>.10</td><td>.13</td><td>1.00</td><td></td><td></td><td></td></tr><tr><th>SOM</th><td>.13</td><td>-.15</td><td>.48</td><td>.21</td><td>1.00</td><td></td><td></td></tr><tr><th>VP</th><td>.18</td><td>.20</td><td>.25</td><td>.53</td><td>.27</td><td>1.00</td><td></td></tr><tr><th>LIB</th><td>.14</td><td>.38</td><td>.26</td><td>.45</td><td>.44</td><td>.28</td><td>1.00</td></tr></tbody></table>

## ÉDITION DES VALEURS PROPRES

APERCU DE LA PRECISION DES CALCULS :

TRACE AVANT DIAGNOSTASATION 7.0000

SOMME DES VALEURS PROPRES 7.0000

<table><caption>HISTOGRAMME DES 7 PREMIERES VALEURS PROPRES</caption><thead><tr><th>NUMERO</th><th>VALEUR PROPRE</th><th>POURCENT.</th><th>POURCENT. CUMULE</th></tr></thead><tbody><tr><td>1</td><td>2.4340</td><td>34.77</td><td>34.77</td></tr><tr><td>2</td><td>1.4430</td><td>20.61</td><td>55.39</td></tr><tr><td>3</td><td>1.3002</td><td>18.57</td><td>73.96</td></tr><tr><td>4</td><td>1.7932</td><td>11.33</td><td>85.29</td></tr><tr><td>5</td><td>1.5007</td><td>7.15</td><td>92.45</td></tr><tr><td>6</td><td>1.2878</td><td>4.11</td><td>96.56</td></tr><tr><td>7</td><td>2.410</td><td>3.44</td><td>100.00</td></tr></tbody></table>

## COORDONNEES DES VARIABLES SUR LES AXES 1 A 5

<table><thead><tr><th rowspan="2">VARIABLES</th><th colspan="5">COORDONNEES</th><th colspan="5">CORRELATIONS VARIABLE-FACTEUR</th><th colspan="5">ANCIENS AXES UNITAIRES</th></tr><tr><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead></table>

## VARIABLES ACTIVES

<table><tbody><tr><th>LIB - LIB</th><td>.76</td><td>.01</td><td>-.20</td><td>-.54</td><td>.01</td><td>.76</td><td>.01</td><td>-.20</td><td>-.54</td><td>.01</td><td>.49</td><td>.01</td><td>-.17</td><td>-.61</td><td>.02</td></tr><tr><th>SOM - SOM</th><td>.64</td><td>-.25</td><td>.52</td><td>-.23</td><td>.37</td><td>.64</td><td>-.25</td><td>.52</td><td>-.23</td><td>.37</td><td>.41</td><td>-.21</td><td>.46</td><td>-.26</td><td>.52</td></tr><tr><th>RG - RG</th><td>.35</td><td>.81</td><td>-.26</td><td>.19</td><td>.14</td><td>.35</td><td>.81</td><td>-.26</td><td>.19</td><td>.14</td><td>.22</td><td>.67</td><td>.23</td><td>.21</td><td>.20</td></tr><tr><th>TRI - TRI</th><td>.61</td><td>-.51</td><td>-.46</td><td>.10</td><td>-.17</td><td>.61</td><td>-.51</td><td>-.46</td><td>.10</td><td>-.17</td><td>.39</td><td>-.43</td><td>-.41</td><td>.11</td><td>-.24</td></tr><tr><th>VP - VP</th><td>.89</td><td>-.11</td><td>-.23</td><td>.60</td><td>.21</td><td>.69</td><td>-.11</td><td>-.23</td><td>.60</td><td>.21</td><td>.44</td><td>-.09</td><td>-.20</td><td>.68</td><td>.30</td></tr><tr><th>CTR - CTR</th><td>.59</td><td>.04</td><td>.60</td><td>.12</td><td>-.51</td><td>.59</td><td>.04</td><td>.60</td><td>.12</td><td>-.51</td><td>.38</td><td>.03</td><td>.53</td><td>.14</td><td>-.72</td></tr><tr><th>REC - REC</th><td>.36</td><td>.67</td><td>-.54</td><td>-.14</td><td>-.10</td><td>.36</td><td>.67</td><td>-.54</td><td>-.14</td><td>-.10</td><td>.29</td><td>.56</td><td>-.47</td><td>-.16</td><td>-.14</td></tr></tbody></table>

## COORDONNEES, CONTRIBUTIONS ET COSINUS CARRES DES INDIVIDUS SUR LES AXES 1 A 5

<table><thead><tr><th colspan="2">INDIVIDUS</th><th colspan="5">COORDONNEES</th><th colspan="5">CONTRIBUTIONS</th><th colspan="5">COSINUS CARRES</th></tr><tr><th>IDENTIFICATEUR</th><th>P REL</th><th>DISTO</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead><tbody><tr><td>3a</td><td>5.26</td><td>6.25</td><td>-.37</td><td>-1.80</td><td>.32</td><td>-.25</td><td>-.87</td><td>.3</td><td>11.8</td><td>.4</td><td>.4</td><td>8.0</td><td>.02</td><td>.52</td><td>.02</td><td>.01</td><td>.12</td></tr><tr><td>3b</td><td>5.26</td><td>9.20</td><td>-2.87</td><td>.48</td><td>.14</td><td>.44</td><td>-.44</td><td>17.8</td><td>.9</td><td>.1</td><td>1.3</td><td>2.1</td><td>.89</td><td>.03</td><td>.00</td><td>.02</td><td>.02</td></tr><tr><td>3c</td><td>5.26</td><td>8.04</td><td>.69</td><td>.93</td><td>2.41</td><td>.65</td><td>-.43</td><td>1.0</td><td>3.2</td><td>23.5</td><td>2.8</td><td>2.0</td><td>.06</td><td>.11</td><td>.72</td><td>.05</td><td>.02</td></tr><tr><td>3g</td><td>5.26</td><td>4.80</td><td>-.132</td><td>1.06</td><td>-.96</td><td>.39</td><td>-.16</td><td>3.7</td><td>4.1</td><td>3.8</td><td>1.0</td><td>.3</td><td>.36</td><td>.23</td><td>-.19</td><td>.03</td><td>.01</td></tr><tr><td>3h</td><td>5.26</td><td>13.42</td><td>-.280</td><td>-.12</td><td>1.51</td><td>1.11</td><td>.51</td><td>17.0</td><td>4.5</td><td>9.3</td><td>8.1</td><td>2.8</td><td>.58</td><td>-.09</td><td>.17</td><td>-.09</td><td>.02</td></tr><tr><td>3ae</td><td>5.26</td><td>4.60</td><td>.88</td><td>-.56</td><td>1.27</td><td>-.23</td><td>.23</td><td>1.7</td><td>1.2</td><td>6.5</td><td>10.0</td><td>.5</td><td>-.17</td><td>.07</td><td>.35</td><td>.33</td><td>.01</td></tr><tr><td>4a</td><td>5.26</td><td>6.12</td><td>.59</td><td>1.58</td><td>-.33</td><td>.85</td><td>1.36</td><td>.7</td><td>9.1</td><td>.4</td><td>4.8</td><td>19.5</td><td>.06</td><td>.41</td><td>.02</td><td>.12</td><td>.30</td></tr><tr><td>4d</td><td>5.26</td><td>16.49</td><td>3.42</td><td>-1.74</td><td>-.06</td><td>.49</td><td>-.15</td><td>25.3</td><td>11.1</td><td>.0</td><td>1.6</td><td>13.8</td><td>.71</td><td>.18</td><td>.00</td><td>.01</td><td>.08</td></tr><tr><td>4g</td><td>5.26</td><td>4.14</td><td>.70</td><td>1.08</td><td>-.127</td><td>-.12</td><td>.10</td><td>1.1</td><td>4.2</td><td>6.5</td><td>.1</td><td>.1</td><td>.12</td><td>.28</td><td>.39</td><td>.00</td><td>.00</td></tr><tr><td>4i</td><td>5.26</td><td>5.05</td><td>-.62</td><td>1.15</td><td>.72</td><td>-.129</td><td>.68</td><td>.8</td><td>4.8</td><td>2.1</td><td>11.0</td><td>4.9</td><td>.08</td><td>.26</td><td>.10</td><td>.33</td><td>.09</td></tr><tr><td>4z</td><td>5.26</td><td>4.26</td><td>-1.40</td><td>.37</td><td>.96</td><td>-.39</td><td>.98</td><td>4.2</td><td>.5</td><td>3.8</td><td>1.0</td><td>10.2</td><td>.46</td><td>.03</td><td>.22</td><td>.04</td><td>.23</td></tr><tr><td>4ab</td><td>5.26</td><td>13.32</td><td>-1.72</td><td>-.52</td><td>3.07</td><td>-.58</td><td>-.54</td><td>6.4</td><td>1.0</td><td>38.3</td><td>2.2</td><td>3.0</td><td>.22</td><td>.02</td><td>.71</td><td>.03</td><td>.02</td></tr><tr><td>4ad</td><td>5.26</td><td>2.80</td><td>-.58</td><td>-.22</td><td>.01</td><td>-.49</td><td>.18</td><td>.7</td><td>.2</td><td>.0</td><td>14.7</td><td>.3</td><td>.12</td><td>.02</td><td>.00</td><td>.79</td><td>.01</td></tr><tr><td>6a</td><td>5.26</td><td>3.91</td><td>1.04</td><td>-.87</td><td>-.95</td><td>-.53</td><td>.81</td><td>2.3</td><td>2.7</td><td>3.7</td><td>1.9</td><td>6.9</td><td>.28</td><td>-.19</td><td>.23</td><td>.07</td><td>.17</td></tr><tr><td>6k</td><td>5.26</td><td>7.35</td><td>.40</td><td>-2.04</td><td>-.17</td><td>-.72</td><td>.89</td><td>.4</td><td>15.2</td><td>.1</td><td>3.5</td><td>8.3</td><td>.02</td><td>.57</td><td>.00</td><td>.07</td><td>.11</td></tr><tr><td>6p</td><td>5.26</td><td>8.35</td><td>2.43</td><td>1.14</td><td>-.15</td><td>-.77</td><td>.39</td><td>12.8</td><td>4.8</td><td>.1</td><td>3.9</td><td>1.6</td><td>.71</td><td>.16</td><td>.00</td><td>.07</td><td>.02</td></tr><tr><td>6r</td><td>5.26</td><td>3.95</td><td>.53</td><td>1.58</td><td>-.04</td><td>-.52</td><td>-.86</td><td>.6</td><td>9.1</td><td>.0</td><td>1.8</td><td>7.7</td><td>.07</td><td>.63</td><td>.00</td><td>.07</td><td>.19</td></tr><tr><td>6t</td><td>5.26</td><td>4.38</td><td>-.20</td><td>-1.50</td><td>.01</td><td>1.06</td><td>.75</td><td>.1</td><td>8.2</td><td>.0</td><td>7.5</td><td>5.9</td><td>.01</td><td>.52</td><td>.00</td><td>.26</td><td>.13</td></tr><tr><td>6y</td><td>5.26</td><td>6.55</td><td>1.19</td><td>.98</td><td>-.62</td><td>1.84</td><td>-.46</td><td>3.0</td><td>3.5</td><td>1.6</td><td>22.4</td><td>2.2</td><td>.21</td><td>.15</td><td>.06</td><td>.52</td><td>.03</td></tr></tbody></table>
<figure><img src="image_40.png" /></figure>

TRAITEMENT DES POINTS A PLUS DE 2.30 ECARTS-TYPES DU CENTRE

POINTS ELOIGNES :

<table><thead><tr><td>IDENTIFICATEUR</td><td>ABSCISSE</td><td>ORDONNEE</td></tr></thead><tbody><tr><td>4ab</td><td>-1.717</td><td>-3.074</td></tr></tbody></table>

1 POINTS ONT ETE RAMENES SUR LE BORD DU GRAPHIQUE.

NOMBRE DE POINTS REPRESENTES : 19

<figure><img src="image_41.png" /></figure>

TRAITEMENT DES POINTS A PLUS DE 2.30 ECARTS-TYPES DU CENTRE

POINTS ELOIGNES :

<table><thead><tr><td>IDENTIFICATEUR</td><td>ABSCISSE</td><td>ORDONNEE</td></tr></thead><tbody><tr><td>4ab</td><td>-1.717</td><td>-3.074</td></tr></tbody></table>

1 POINTS ONT ETE RAMENES SUR LE BORD DU GRAPHIQUE.

NOMBRE DE POINTS REPRESENTES : 19
# ANNEXE J-4d

## Matrice des corrélations entre les 23 variables des thèmes.

<table><caption>MATRICE DES CORRELATIONS</caption><thead><tr><th></th><th>S1</th><th>S2</th><th>DET</th><th>CAL</th><th>EXT</th><th>INT</th><th>EL1</th><th>EL2</th><th>EL3</th><th>MAL</th><th>GEN</th><th>RGN</th><th>ALG</th><th>SYNT</th><th>LIB</th><th>SOM</th><th>RG</th><th>TRI</th><th>VP</th><th>CTR</th><th>REC</th><th>AFF</th></tr></thead><tbody><tr><th>S1</th><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>S2</th><td>.32</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>DET</th><td>.83</td><td>.13</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>CAL</th><td>.52</td><td>.27</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>EXT</th><td>.16</td><td>.30</td><td>.45</td><td>.29</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>INT</th><td>.29</td><td>.87</td><td>.08</td><td>.28</td><td>.30</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>EL1</th><td>.39</td><td>.34</td><td>.50</td><td>.36</td><td>.35</td><td>.44</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>EL2</th><td>.22</td><td>.24</td><td>-.14</td><td>.17</td><td>.27</td><td>.29</td><td>.37</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>EL3</th><td>.17</td><td>.19</td><td>-.04</td><td>-.09</td><td>.01</td><td>.27</td><td>.40</td><td>.69</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>MAL</th><td>-.23</td><td>.21</td><td>-.23</td><td>-.38</td><td>-.02</td><td>.27</td><td>.28</td><td>.19</td><td>.29</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>RGN</th><td>-.09</td><td>.14</td><td>-.02</td><td>.00</td><td>-.13</td><td>.08</td><td>.30</td><td>.08</td><td>.15</td><td>.14</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>RGN</th><td>-.31</td><td>.01</td><td>-.12</td><td>.14</td><td>-.02</td><td>.18</td><td>.04</td><td>.21</td><td>.21</td><td>.29</td><td>.41</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>ALG</th><td>.42</td><td>.15</td><td>.31</td><td>.26</td><td>.32</td><td>.21</td><td>.50</td><td>.25</td><td>.42</td><td>.13</td><td>.20</td><td>.13</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>SYNT</th><td>.64</td><td>.34</td><td>.17</td><td>.19</td><td>.03</td><td>.34</td><td>.18</td><td>.34</td><td>.36</td><td>-.28</td><td>-.19</td><td>-.29</td><td>.54</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>LIB</th><td>.01</td><td>.37</td><td>.01</td><td>-.04</td><td>.09</td><td>.27</td><td>.44</td><td>.26</td><td>.51</td><td>.35</td><td>.32</td><td>.10</td><td>.69</td><td>.39</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>SOM</th><td>.17</td><td>.32</td><td>-.18</td><td>-.22</td><td>.19</td><td>.48</td><td>.40</td><td>.81</td><td>.58</td><td>.35</td><td>.15</td><td>-.03</td><td>.45</td><td>.36</td><td>.44</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>RG</th><td>-.36</td><td>-.24</td><td>.44</td><td>.41</td><td>-.11</td><td>-.23</td><td>-.02</td><td>.12</td><td>.20</td><td>.23</td><td>-.07</td><td>.16</td><td>.19</td><td>-.09</td><td>.14</td><td>.13</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>TRI</th><td>.33</td><td>.42</td><td>.28</td><td>.43</td><td>.00</td><td>.29</td><td>.54</td><td>.30</td><td>.41</td><td>.21</td><td>.38</td><td>.05</td><td>.22</td><td>-.10</td><td>.45</td><td>.21</td><td>-.24</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>VP</th><td>.03</td><td>.21</td><td>.01</td><td>.24</td><td>-.00</td><td>.33</td><td>.58</td><td>.32</td><td>.61</td><td>.19</td><td>.33</td><td>.42</td><td>.23</td><td>-.01</td><td>.28</td><td>.27</td><td>.16</td><td>.53</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><th>CTR</th><td>-.08</td><td>-.04</td><td>-.22</td><td>-.19</td><td>.09</td><td>.13</td><td>.25</td><td>.55</td><td>.49</td><td>.21</td><td>.05</td><td>.15</td><td>.24</td><td>-.02</td><td>.26</td><td>.48</td><td>.31</td><td>.13</td><td>.28</td><td>1.00</td><td></td><td></td><td></td></tr><tr><th>REC</th><td>-.01</td><td>-.18</td><td>-.00</td><td>-.14</td><td>.17</td><td>-.26</td><td>.22</td><td>-.04</td><td>.12</td><td>.24</td><td>-.01</td><td>-.06</td><td>.41</td><td>.08</td><td>.38</td><td>-.15</td><td>.41</td><td>-.10</td><td>.20</td><td>-.04</td><td>1.00</td><td></td><td></td></tr><tr><th>AFF</th><td>.02</td><td>-.32</td><td>-.05</td><td>-.13</td><td>-.33</td><td>-.18</td><td>-.26</td><td>-.10</td><td>.10</td><td>.30</td><td>-.46</td><td>-.31</td><td>-.14</td><td>-.22</td><td>-.06</td><td>-.15</td><td>-.34</td><td>-.16</td><td>-.04</td><td>.08</td><td>-.03</td><td>1.00</td><td></td></tr><tr><th>CHAT</th><td>.55</td><td>.50</td><td>.12</td><td>.22</td><td>.16</td><td>.39</td><td>.24</td><td>.54</td><td>.41</td><td>.06</td><td>.12</td><td>-.09</td><td>.16</td><td>.47</td><td>.15</td><td>.37</td><td>-.45</td><td>.44</td><td>.20</td><td>.15</td><td>-.05</td><td>-.12</td><td></td></tr></tbody></table>

<figure><img src="image_42.png" /></figure>

Schéma sommaire représentant les corrélations > 0.50 (en pointillée sont les corrélations qui ne correspondent très faiblement qu'au correspondant à une troisième variable)
<figure><img src="image_43.png" /><figcaption>MATRICE DES CORRELATIONS : COEFFICIENTS DE VALEUR ABSOLUE > 0,10 (négatifs en cours)</figcaption></figure>

<figure><img src="image_44.png" /></figure>

ANNEXE J-5

ACP sur les dix variables :
sys1, sys2, ele1, ele2, ALG,
SYNT, AL1, AL2, AL3 et cmat.
## 10 VARIABLES ACTIVES

<table><tr><td>3</td><td>sys1</td><td>( CONTINUE )</td></tr><tr><td>4</td><td>sys2</td><td>( CONTINUE )</td></tr><tr><td>5</td><td>ALG</td><td>( CONTINUE )</td></tr><tr><td>6</td><td>SYNT</td><td>( CONTINUE )</td></tr><tr><td>7</td><td>ele1</td><td>( CONTINUE )</td></tr><tr><td>8</td><td>ele2</td><td>( CONTINUE )</td></tr><tr><td>9</td><td>AL1</td><td>( CONTINUE )</td></tr><tr><td>10</td><td>AL2</td><td>( CONTINUE )</td></tr><tr><td>11</td><td>AL3</td><td>( CONTINUE )</td></tr><tr><td>12</td><td>CMAT</td><td>( CONTINUE )</td></tr></table>

## 13 VARIABLES ILLUSTRATIVES

<table><tr><td>1</td><td>R</td><td>( CONTINUE )</td></tr><tr><td>2</td><td>PASS</td><td>( CONTINUE )</td></tr><tr><td>13</td><td>Note</td><td>( CONTINUE )</td></tr><tr><td>14</td><td>EQ1</td><td>( CONTINUE )</td></tr><tr><td>15</td><td>EQ3</td><td>( CONTINUE )</td></tr><tr><td>16</td><td>EQ3v</td><td>( CONTINUE )</td></tr><tr><td>17</td><td>0</td><td>( CONTINUE )</td></tr><tr><td>18</td><td>Qvid</td><td>( CONTINUE )</td></tr><tr><td>19</td><td>AN</td><td>( CONTINUE )</td></tr><tr><td>20</td><td>AS</td><td>( CONTINUE )</td></tr><tr><td>21</td><td>B+O</td><td>( CONTINUE )</td></tr><tr><td>22</td><td>B+1/2</td><td>( CONTINUE )</td></tr><tr><td>23</td><td>B+2</td><td>( CONTINUE )</td></tr></table>

## POIDS DES INDIVIDUS

Poids des individus, uniforme egal a 1.

( POIDS )

## EDITION DES VALEURS PROPRES

APERCU DE LA PRECISION DES CALCULS :

TRACE AVANT DIAGNOSTASATION 10.0000

SOMME DES VALEURS PROPRES 10.0000

## HISTOGRAMME DES 10 PREMIERES VALEURS PROPRES

<table><thead><tr><th>NUMERO</th><th>VALEUR PROPRE</th><th>POURCENT</th><th>POURCENT CUMULE</th></tr></thead><tbody><tr><td>1</td><td>3.1760</td><td>31.76</td><td>31.76</td></tr><tr><td>2</td><td>1.7703</td><td>17.70</td><td>49.46</td></tr><tr><td>3</td><td>1.4536</td><td>14.54</td><td>64.00</td></tr><tr><td>4</td><td>1.3613</td><td>13.61</td><td>77.61</td></tr><tr><td>5</td><td>7.183</td><td>7.18</td><td>84.80</td></tr><tr><td>6</td><td>.6722</td><td>6.72</td><td>91.52</td></tr><tr><td>7</td><td>.3992</td><td>3.99</td><td>95.51</td></tr><tr><td>8</td><td>.2786</td><td>2.79</td><td>98.30</td></tr><tr><td>9</td><td>.1238</td><td>1.24</td><td>99.53</td></tr><tr><td>10</td><td>.0465</td><td>.47</td><td>100.00</td></tr></tbody></table>

## MATRICE DES CORRELATIONS

<table><thead><tr><th></th><th>sys1</th><th>sys2</th><th>ALG</th><th>SYNT</th><th>ele1</th><th>ele2</th><th>AL1</th><th>AL2</th><th>AL3</th><th>CMAT</th></tr></thead><tbody><tr><th>sys1</th><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>sys2</th><td>.00</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>ALG</th><td>.40</td><td>-.11</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>SYNT</th><td>.42</td><td>.06</td><td>.54</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>ele1</th><td>.24</td><td>.32</td><td>.47</td><td>.14</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><th>ele2</th><td>-.15</td><td>-.07</td><td>.02</td><td>.49</td><td>.00</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><th>AL1</th><td>.16</td><td>.31</td><td>.59</td><td>.25</td><td>.85</td><td>.08</td><td>1.00</td><td></td><td></td><td></td></tr><tr><th>AL2</th><td>-.50</td><td>-.11</td><td>.13</td><td>-.11</td><td>-.17</td><td>-.09</td><td>.00</td><td>1.00</td><td></td><td></td></tr><tr><th>AL3</th><td>-.22</td><td>.27</td><td>-.08</td><td>.02</td><td>.09</td><td>.23</td><td>.00</td><td>-.00</td><td>1.00</td><td></td></tr><tr><th>CMAT</th><td>.47</td><td>.19</td><td>.16</td><td>.47</td><td>.41</td><td>.29</td><td>.20</td><td>-.51</td><td>-.20</td><td>1.00</td></tr></tbody></table>
COORDONNEES DES VARIABLES SUR LES AXES 1 A 5

<table><thead><tr><th rowspan="2">VARIABLES</th><th colspan="5">COORDONNEES</th><th colspan="5">CORRELATIONS VARIABLE-FACTEUR</th><th colspan="5">ANCIENS AXES UNITAIRES</th></tr><tr><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead><tbody><tr><td colspan="17">VARIABLES ACTIVES</td></tr><tr><td>sys1 - sys1</td><td>66</td><td>48</td><td>12</td><td>-23</td><td>.31</td><td>.66</td><td>-45</td><td>12</td><td>-23</td><td>.31</td><td>.37</td><td>-34</td><td>-10</td><td>-19</td><td>.36</td></tr><tr><td>sys2 - sys2</td><td>26</td><td>36</td><td>68</td><td>-07</td><td>-29</td><td>.26</td><td>-36</td><td>-68</td><td>-07</td><td>-29</td><td>.14</td><td>-27</td><td>-57</td><td>-06</td><td>-35</td></tr><tr><td>ALG - ALG</td><td>66</td><td>29</td><td>57</td><td>-12</td><td>-22</td><td>.66</td><td>-28</td><td>57</td><td>-12</td><td>-22</td><td>.37</td><td>-21</td><td>-48</td><td>-10</td><td>-26</td></tr><tr><td>SYNT - SYNT</td><td>67</td><td>39</td><td>19</td><td>-49</td><td>-13</td><td>.67</td><td>-27</td><td>19</td><td>-49</td><td>-13</td><td>.38</td><td>-20</td><td>-16</td><td>-42</td><td>-16</td></tr><tr><td>ele1 - ele1</td><td>79</td><td>67</td><td>13</td><td>-21</td><td>-16</td><td>.73</td><td>-52</td><td>13</td><td>-21</td><td>-13</td><td>.41</td><td>-39</td><td>-11</td><td>-18</td><td>-05</td></tr><tr><td>ele2 - ele2</td><td>33</td><td>31</td><td>12</td><td>-72</td><td>-16</td><td>.33</td><td>-35</td><td>12</td><td>-72</td><td>-16</td><td>.18</td><td>-26</td><td>-10</td><td>-62</td><td>-19</td></tr><tr><td>AL1 - AL1</td><td>61</td><td>61</td><td>47</td><td>-06</td><td>-05</td><td>.71</td><td>-61</td><td>06</td><td>-06</td><td>-05</td><td>.40</td><td>-46</td><td>-05</td><td>-05</td><td>-06</td></tr><tr><td>AL2 - AL2</td><td>39</td><td>65</td><td>55</td><td>-05</td><td>-05</td><td>.39</td><td>-52</td><td>47</td><td>-36</td><td>-33</td><td>.22</td><td>-39</td><td>-39</td><td>-31</td><td>-38</td></tr><tr><td>AL3 - AL3</td><td>70</td><td>40</td><td>22</td><td>-15</td><td>-33</td><td>.70</td><td>-40</td><td>-22</td><td>-15</td><td>-33</td><td>.40</td><td>-30</td><td>-18</td><td>-13</td><td>-38</td></tr><tr><td>CMAT - CMAT</td><td>66</td><td>48</td><td>12</td><td>-23</td><td>-31</td><td>.66</td><td>-45</td><td>12</td><td>-23</td><td>.31</td><td>.37</td><td>-34</td><td>-10</td><td>-19</td><td>.36</td></tr></tbody></table>

VARIABLES ILLUSTRATIVES

<table><tr><td>R</td><td>.39</td><td>.14</td><td>.05</td><td>.46</td><td>-12</td><td>.29</td><td>.14</td><td>.05</td><td>.46</td><td>-12</td></tr><tr><td>PASS</td><td>.62</td><td>.16</td><td>.37</td><td>-17</td><td>-05</td><td>.62</td><td>.16</td><td>.37</td><td>-17</td><td>-05</td></tr><tr><td>Note - Note</td><td>.60</td><td>.15</td><td>.25</td><td>.11</td><td>.18</td><td>.60</td><td>.15</td><td>.25</td><td>.11</td><td>.18</td></tr><tr><td>EQ1 - EQ1</td><td>.48</td><td>-20</td><td>.31</td><td>.41</td><td>-16</td><td>.48</td><td>-20</td><td>.31</td><td>.41</td><td>-16</td></tr><tr><td>EQ3 - EQ3</td><td>.43</td><td>-02</td><td>-04</td><td>.08</td><td>-09</td><td>.43</td><td>-02</td><td>-04</td><td>-08</td><td>-09</td></tr><tr><td>EQ3v - EQ3v</td><td>.02</td><td>.23</td><td>-42</td><td>.18</td><td>-26</td><td>.02</td><td>.23</td><td>-42</td><td>.18</td><td>-26</td></tr><tr><td>Q</td><td>.56</td><td>-12</td><td>-08</td><td>.07</td><td>-04</td><td>.56</td><td>-12</td><td>-08</td><td>.07</td><td>-04</td></tr><tr><td>Ovid - Ovid</td><td>.51</td><td>-03</td><td>-14</td><td>.35</td><td>-04</td><td>.51</td><td>-03</td><td>-14</td><td>.35</td><td>-04</td></tr><tr><td>AN - AN</td><td>.13</td><td>.08</td><td>.34</td><td>.31</td><td>-02</td><td>.13</td><td>.08</td><td>.34</td><td>.31</td><td>-02</td></tr><tr><td>AS - AS</td><td>.29</td><td>.33</td><td>.36</td><td>.14</td><td>-02</td><td>.29</td><td>.33</td><td>.36</td><td>.14</td><td>.39</td></tr><tr><td>B+0 - B+0</td><td>.70</td><td>-01</td><td>.18</td><td>-08</td><td>-24</td><td>.70</td><td>-01</td><td>.18</td><td>-08</td><td>-24</td></tr><tr><td>B1/2 - B1/2</td><td>.58</td><td>-01</td><td>.02</td><td>.50</td><td>-05</td><td>.58</td><td>-01</td><td>.02</td><td>.50</td><td>-05</td></tr><tr><td>B+2 - B+2</td><td>.19</td><td>-02</td><td>.27</td><td>.55</td><td>-40</td><td>.19</td><td>-02</td><td>.27</td><td>-55</td><td>-40</td></tr></table>

Axe 1 Revisite - elec

Axe2 = Sys1 Synt ele2 CHATC)

→ sys2 ALG ele1, AM, ALB, AL3

Axe3 = Sys2 AL3 (-) ← ALG AL2 (+)

MATRICE DES CORRELATIONS PERMUTEE SUIVANT LE PREMIER AXE DE L'ANALYSE

<table><thead><tr><th></th><th>AL2</th><th>AL3</th><th>sys2</th><th>ele2</th><th>sys1</th><th>ALG</th><th>SYNT</th><th>CMAT</th><th>AL1</th><th>ele1</th></tr></thead><tbody><tr><td>AL2</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>AL3</td><td>-0.00</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>sys2</td><td>-1.11</td><td>2.77</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>ele2</td><td>-0.09</td><td>2.33</td><td>-0.07</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>sys1</td><td>(-50)</td><td>-22</td><td>0.00</td><td>.15</td><td>1.00</td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>ALG</td><td>.13</td><td>-08</td><td>.11</td><td>.02</td><td>40</td><td>1.00</td><td></td><td></td><td></td><td></td></tr><tr><td>SYNT</td><td>.11</td><td>.02</td><td>.08</td><td>(49)</td><td>42</td><td>7.50</td><td>1.00</td><td></td><td></td><td></td></tr><tr><td>CMAT</td><td>(-51)</td><td>-20</td><td>.19</td><td>(29)</td><td>47</td><td>18</td><td>(42)</td><td>1.00</td><td></td><td></td></tr><tr><td>AL1</td><td>.00</td><td>0.00</td><td>(31)</td><td>.08</td><td>(59)</td><td>(25)</td><td>.20</td><td>1.00</td><td></td><td></td></tr><tr><td>ele1</td><td>-17</td><td>.09</td><td>(33)</td><td>.00</td><td>124</td><td>(47)</td><td>14</td><td>(41)</td><td>.85</td><td>1.00</td></tr></tbody></table>

<figure><img src="image_45.png" /></figure>

Graphes des corrélations → 0.24
en pourcentage : corrélations qui disparaissent
quand on conditionne par rapport à une autre variable.

COORDONNEES, CONTRIBUTIONS ET COSINUS CARRES DES INDIVIDUS SUR LES AXES 1 A 5

<table><thead><tr><th rowspan="2">IDENTIFICATEUR</th><th colspan="2">INDIVIDUS</th><th colspan="5">COORDONNEES</th><th colspan="5">CONTRIBUTIONS</th><th colspan="5">COSINUS CARRES</th></tr><tr><th>P REL</th><th>DISTO</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead><tbody><tr><td>3a</td><td>5.26</td><td>5.98</td><td>-18</td><td>-36</td><td>-94</td><td>-130</td><td>1.45</td><td>.1</td><td>.4</td><td>3.2</td><td>6.6</td><td>15.4</td><td>.01</td><td>.02</td><td>.15</td><td>.28</td><td>.35</td></tr><tr><td>3b</td><td>5.26</td><td>15.01</td><td>-2.95</td><td>-1.75</td><td>-31</td><td>1.17</td><td>.02</td><td>14.4</td><td>9.1</td><td>.3</td><td>5.3</td><td>.0</td><td>.58</td><td>.20</td><td>.01</td><td>.09</td><td>.00</td></tr><tr><td>3e</td><td>5.26</td><td>13.90</td><td>-1.08</td><td>2.38</td><td>-2.19</td><td>1.10</td><td>-.38</td><td>1.9</td><td>16.8</td><td>17.3</td><td>4.7</td><td>1.0</td><td>.08</td><td>.41</td><td>.34</td><td>.09</td><td>.01</td></tr><tr><td>3g</td><td>5.26</td><td>7.24</td><td>-1.61</td><td>-66</td><td>1.10</td><td>.03</td><td>-.79</td><td>4.3</td><td>1.3</td><td>4.4</td><td>.0</td><td>4.6</td><td>.36</td><td>.06</td><td>.17</td><td>.00</td><td>.09</td></tr><tr><td>3h</td><td>5.26</td><td>11.72</td><td>-2.48</td><td>-1.34</td><td>-1.48</td><td>.31</td><td>1.16</td><td>10.2</td><td>5.3</td><td>7.9</td><td>.4</td><td>9.9</td><td>.53</td><td>.15</td><td>.19</td><td>.01</td><td>.12</td></tr><tr><td>3ae</td><td>5.26</td><td>15.16</td><td>3.40</td><td>.07</td><td>.06</td><td>.22</td><td>1.30</td><td>19.1</td><td>.0</td><td>.0</td><td>2.12</td><td>12.4</td><td>.76</td><td>.00</td><td>.00</td><td>.00</td><td>.11</td></tr><tr><td>4a</td><td>5.26</td><td>7.04</td><td>-.90</td><td>1.99</td><td>1.39</td><td>-.30</td><td>.21</td><td>1.3</td><td>11.8</td><td>7.0</td><td>.3</td><td>.3</td><td>.11</td><td>.56</td><td>.27</td><td>.01</td><td>.01</td></tr><tr><td>4d</td><td>5.26</td><td>10.88</td><td>1.42</td><td>1.36</td><td>-.48</td><td>-1.02</td><td>.71</td><td>3.4</td><td>5.5</td><td>.8</td><td>4.1</td><td>3.7</td><td>.19</td><td>.17</td><td>.02</td><td>1.0</td><td>.05</td></tr><tr><td>4g</td><td>5.26</td><td>7.32</td><td>-.63</td><td>1.04</td><td>2.01</td><td>-1.07</td><td>.47</td><td>.6</td><td>3.2</td><td>14.7</td><td>4.4</td><td>1.6</td><td>.05</td><td>.15</td><td>.55</td><td>1.6</td><td>.03</td></tr><tr><td>4l</td><td>5.26</td><td>11.94</td><td>-2.23</td><td>1.66</td><td>-1.32</td><td>-.12</td><td>-.87</td><td>8.3</td><td>8.2</td><td>6.3</td><td>.1</td><td>5.6</td><td>.42</td><td>.23</td><td>.15</td><td>.00</td><td>.06</td></tr><tr><td>4z</td><td>5.26</td><td>7.51</td><td>-.88</td><td>-.69</td><td>1.30</td><td>1.14</td><td>1.26</td><td>1.3</td><td>1.4</td><td>6.1</td><td>5.0</td><td>11.7</td><td>.10</td><td>.06</td><td>.22</td><td>1.7</td><td>.21</td></tr><tr><td>4ab</td><td>5.26</td><td>13.97</td><td>-1.10</td><td>-1.41</td><td>.79</td><td>-2.79</td><td>-1.37</td><td>2.0</td><td>5.9</td><td>2.3</td><td>30.0</td><td>13.7</td><td>.09</td><td>.14</td><td>.04</td><td>.56</td><td>.13</td></tr><tr><td>4ad</td><td>5.26</td><td>7.87</td><td>.21</td><td>-1.15</td><td>1.40</td><td>1.55</td><td>.19</td><td>.1</td><td>3.9</td><td>7.1</td><td>9.3</td><td>.3</td><td>.01</td><td>.17</td><td>.25</td><td>3.1</td><td>.00</td></tr><tr><td>6a</td><td>5.26</td><td>12.71</td><td>2.88</td><td>-1.10</td><td>.24</td><td>.06</td><td>-.88</td><td>13.7</td><td>3.6</td><td>.2</td><td>.0</td><td>5.1</td><td>.65</td><td>.09</td><td>.00</td><td>.00</td><td>.06</td></tr><tr><td>6k</td><td>5.26</td><td>14.25</td><td>2.56</td><td>-2.04</td><td>-1.48</td><td>.50</td><td>-.66</td><td>10.9</td><td>12.4</td><td>7.9</td><td>1.0</td><td>3.2</td><td>.46</td><td>.29</td><td>.15</td><td>.02</td><td>.03</td></tr><tr><td>6p</td><td>5.26</td><td>11.31</td><td>1.99</td><td>1.83</td><td>.40</td><td>.94</td><td>-.54</td><td>6.5</td><td>10.0</td><td>.6</td><td>3.4</td><td>2.1</td><td>.35</td><td>.30</td><td>.01</td><td>.08</td><td>.03</td></tr><tr><td>6r</td><td>5.26</td><td>6.14</td><td>.36</td><td>.16</td><td>.38</td><td>1.89</td><td>-1.08</td><td>.2</td><td>.1</td><td>5.13</td><td>13.8</td><td>8.5</td><td>.02</td><td>.00</td><td>.02</td><td>5.8</td><td>.19</td></tr><tr><td>6t</td><td>5.26</td><td>6.93</td><td>.96</td><td>-.44</td><td>-1.72</td><td>-1.55</td><td>-.09</td><td>1.5</td><td>6.10</td><td>9.3</td><td>.1</td><td>.13</td><td>.03</td><td>.43</td><td>-.35</td><td>.00</td><td>.00</td></tr><tr><td>6y</td><td>5.26</td><td>3.11</td><td>.26</td><td>.44</td><td>.85</td><td>-.75</td><td>-.14</td><td>.1</td><td>.6</td><td>2.6</td><td>2.2</td><td>.1</td><td>.02</td><td>.08</td><td>.23</td><td>.18</td><td>.01</td></tr></tbody></table>
AXE 1 • AXE 2

<figure><img src="image_46.png" /></figure>

↑ meilleurs
pour sys 2
AtG elet.
Al1 Al2 et Al3

meilleurs
pour
sys1, sys2
ele 2 CNAT

AXE 1 • AXE 3

<figure><img src="image_47.png" /></figure>

Meilleur
sur ALG
et AL2

TB ou B
Globalent

meilleur
sur sys 2
et Al3
ANNEXE J-6

Matrice des corrélations
des 30 variables avec le prétest
et
représentation de ces variables
dans le plan de l'ACP sur les
variables du prétest.

MATRICE DES CORRÉLATIONS ENTRE LES VARIABILITS DU PRÉTEST ET CELLES D'ETLÀNIE AVEC L'ESTHETET.

<table><thead><tr><th>note</th><th>.28</th><th>.18</th><th>.32</th><th>.26</th><th>.20</th><th>.20</th><th>.50</th><th>.50</th><th>.26</th><th>.28</th><th>.05</th></tr></thead><tbody><tr><th>EQ1</th><td>.49</td><td>.35</td><td>.30</td><td>.23</td><td>.19</td><td>.19</td><td>.24</td><td>.13</td><td>.25</td><td>.15</td><td>.94</td></tr><tr><th>EQ3</th><td>.25</td><td>.09</td><td>.12</td><td>.00</td><td>.19</td><td>.24</td><td>.01</td><td>.05</td><td>.05</td><td>.13</td><td>.05</td></tr><tr><th>EQ3v</th><td>-.10</td><td>.05</td><td>-.44</td><td>.31</td><td>.34</td><td>.09</td><td>.26</td><td>.35</td><td>.34</td><td>.03</td><td>.13</td></tr><tr><th>Q</th><td>.17</td><td>.34</td><td>.08</td><td>.25</td><td>.03</td><td>.32</td><td>.25</td><td>.34</td><td>.23</td><td>.05</td><td>.20</td></tr><tr><th>Qvid</th><td>-.14</td><td>.52</td><td>-.20</td><td>-.23</td><td>.37</td><td>-.29</td><td>-.25</td><td>.16</td><td>-.12</td><td>.49</td><td>.08</td></tr><tr><th>AS</th><td>.29</td><td>-.15</td><td>.28</td><td>.12</td><td>.04</td><td>.05</td><td>.47</td><td>.22</td><td>.29</td><td>.11</td><td>.08</td></tr><tr><th>B=0</th><td>.34</td><td>.44</td><td>.38</td><td>.46</td><td>.39</td><td>.35</td><td>.35</td><td>.25</td><td>.35</td><td>.14</td><td>.03</td></tr><tr><th>B1/2</th><td>-.17</td><td>.65</td><td>-.15</td><td>.36</td><td>.34</td><td>.43</td><td>.21</td><td>.34</td><td>-.15</td><td>.58</td><td>.14</td></tr><tr><th>B>2</th><td>-.23</td><td>.27</td><td>.33</td><td>-.16</td><td>.34</td><td>.09</td><td>-.29</td><td>.27</td><td>.34</td><td>.35</td><td>.22</td></tr></tbody><tfoot><tr><th></th><th>S1</th><th>S2</th><th>DET</th><th>CAL</th><th>EXT</th><th>INT</th><th>EL1</th><th>EL2</th><th>EL3</th><th>MAL</th><th>GEN</th><th>RGN</th></tr></tfoot></table>

<table><thead><tr><th>note</th><th>.53</th><th>.49</th><th>.59</th><th>.03</th><th>.49</th><th>.49</th><th>.38</th><th>.16</th><th>.16</th><th>.08</th></tr></thead><tbody><tr><th>EQ1</th><td>.42</td><td>.37</td><td>.25</td><td>.17</td><td>.20</td><td>.00</td><td>.04</td><td>.39</td><td>.15</td><td>.24</td></tr><tr><th>EQ3</th><td>.14</td><td>.29</td><td>.24</td><td>-.16</td><td>.43</td><td>.59</td><td>.02</td><td>.06</td><td>.31</td><td>.24</td></tr><tr><th>EQ3v</th><td>-.26</td><td>-.06</td><td>-.11</td><td>.11</td><td>.37</td><td>-.04</td><td>.36</td><td>-.08</td><td>.07</td><td>.14</td></tr><tr><th>Q</th><td>.34</td><td>.47</td><td>.58</td><td>.43</td><td>.37</td><td>.16</td><td>.29</td><td>.17</td><td>.13</td><td>.28</td></tr><tr><th>Qvid</th><td>.49</td><td>.25</td><td>.67</td><td>.28</td><td>.20</td><td>.58</td><td>-.16</td><td>.03</td><td>.17</td><td>.32</td></tr><tr><th>AS</th><td>.45</td><td>.25</td><td>.11</td><td>.20</td><td>.26</td><td>.18</td><td>.24</td><td>.54</td><td>.17</td><td>.03</td></tr><tr><th>B=0</th><td>.35</td><td>.35</td><td>.30</td><td>.47</td><td>-.14</td><td>.60</td><td>.35</td><td>.24</td><td>.08</td><td>.15</td></tr><tr><th>B1/2</th><td>.33</td><td>.17</td><td>.61</td><td>.33</td><td>.24</td><td>.59</td><td>.10</td><td>.10</td><td>-.01</td><td>.49</td></tr><tr><th>B>2</th><td>.32</td><td>.31</td><td>-.02</td><td>.23</td><td>-.13</td><td>.09</td><td>.17</td><td>.49</td><td>-.08</td><td>.40</td></tr></tbody><tfoot><tr><th></th><th>ALG</th><th>SYNT</th><th>LIB</th><th>SOM</th><th>RG</th><th>TRI</th><th>VP</th><th>CTR</th><th>REC</th><th>AFF</th><th>CMAT</th></tr></tfoot></table>

<table><thead><tr><th>Note</th><th>.35</th><th>-.08</th><th>.46</th><th>.25</th><th>-.18</th><th>-.07</th></tr></thead><tbody><tr><th>EQ1</th><td>.49</td><td>-.04</td><td>.47</td><td>.07</td><td>.14</td><td>-.14</td></tr><tr><th>EQ3</th><td>.14</td><td>.06</td><td>.42</td><td>.18</td><td>.39</td><td>-.17</td></tr><tr><th>EQ3v</th><td>-.25</td><td>.39</td><td>.27</td><td>.19</td><td>.12</td><td>.39</td></tr><tr><th>Q</th><td>.29</td><td>.18</td><td>.23</td><td>.34</td><td>.52</td><td>.07</td></tr><tr><th>Qvid</th><td>.49</td><td>-.20</td><td>.39</td><td>.13</td><td>.39</td><td>.34</td></tr><tr><th>AS</th><td>.12</td><td>-.29</td><td>.40</td><td>-.04</td><td>.12</td><td>.16</td></tr><tr><th>B=0</th><td>.35</td><td>.03</td><td>.44</td><td>.19</td><td>.37</td><td>-.12</td></tr><tr><th>B1/2</th><td>.49</td><td>.33</td><td>.39</td><td>.19</td><td>.44</td><td>.35</td></tr><tr><th>B>2</th><td>-.17</td><td>.35</td><td>-.09</td><td>.50</td><td>-.10</td><td>.39</td></tr></tbody><tfoot><tr><th></th><th>syst1</th><th>syst2</th><th>ele1</th><th>ele2</th><th>AL1</th><th>AL2</th><th>AL3</th></tr></tfoot></table>
10 VARIABLES ACTIVES

<table><tr><td>26</td><td>note</td><td>( CONTINUE )</td></tr><tr><td>27</td><td>EQ1</td><td>( CONTINUE )</td></tr><tr><td>28</td><td>EQ3</td><td>( CONTINUE )</td></tr><tr><td>29</td><td>EQ3v</td><td>( CONTINUE )</td></tr><tr><td>30</td><td>Q</td><td>( CONTINUE )</td></tr><tr><td>31</td><td>Ovid</td><td>( CONTINUE )</td></tr><tr><td>32</td><td>AS</td><td>( CONTINUE )</td></tr><tr><td>33</td><td>B=0</td><td>( CONTINUE )</td></tr><tr><td>34</td><td>B1/2</td><td>( CONTINUE )</td></tr><tr><td>35</td><td>B>2</td><td>( CONTINUE )</td></tr></table>

31 VARIABLES ILLUSTRATIVES

<table><tr><td>1</td><td>R</td><td>( CONTINUE )</td></tr><tr><td>2</td><td>Pass</td><td>( CONTINUE )</td></tr><tr><td>3</td><td>S1</td><td>( CONTINUE )</td></tr><tr><td>4</td><td>S2</td><td>( CONTINUE )</td></tr><tr><td>5</td><td>DE1</td><td>( CONTINUE )</td></tr><tr><td>6</td><td>CAL</td><td>( CONTINUE )</td></tr><tr><td>7</td><td>EXT</td><td>( CONTINUE )</td></tr><tr><td>8</td><td>INI</td><td>( CONTINUE )</td></tr><tr><td>9</td><td>E11</td><td>( CONTINUE )</td></tr><tr><td>10</td><td>E12</td><td>( CONTINUE )</td></tr><tr><td>11</td><td>E13</td><td>( CONTINUE )</td></tr><tr><td>12</td><td>MAL</td><td>( CONTINUE )</td></tr><tr><td>13</td><td>GEN</td><td>( CONTINUE )</td></tr><tr><td>14</td><td>RGN</td><td>( CONTINUE )</td></tr><tr><td>15</td><td>ALG</td><td>( CONTINUE )</td></tr><tr><td>16</td><td>SYNI</td><td>( CONTINUE )</td></tr><tr><td>17</td><td>L1B</td><td>( CONTINUE )</td></tr><tr><td>18</td><td>SUM</td><td>( CONTINUE )</td></tr><tr><td>19</td><td>RG</td><td>( CONTINUE )</td></tr><tr><td>20</td><td>TR1</td><td>( CONTINUE )</td></tr><tr><td>21</td><td>VP</td><td>( CONTINUE )</td></tr><tr><td>22</td><td>CTR</td><td>( CONTINUE )</td></tr><tr><td>23</td><td>REC</td><td>( CONTINUE )</td></tr><tr><td>24</td><td>AFF</td><td>( CONTINUE )</td></tr><tr><td>25</td><td>GMAT</td><td>( CONTINUE )</td></tr><tr><td>36</td><td>syst</td><td>( CONTINUE )</td></tr><tr><td>31</td><td>syst2</td><td>( CONTINUE )</td></tr><tr><td>29</td><td>elel</td><td>( CONTINUE )</td></tr><tr><td>30</td><td>ele2</td><td>( CONTINUE )</td></tr><tr><td>60</td><td>AL1</td><td>( CONTINUE )</td></tr><tr><td>62</td><td>AL2</td><td>( CONTINUE )</td></tr><tr><td>65</td><td>AL3</td><td>( CONTINUE )</td></tr></table>

COORDONNEES DES VARIABLES SUR LES AXES 1 A 5

<table><thead><tr><th rowspan="2">VARIABLES</th><th colspan="5">COORDONNEES</th><th colspan="5">CORRELATIONS VARIABLE-FACTEUR</th><th colspan="5">ANCIENS AXES UNITAIRES</th></tr><tr><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead><tbody><tr><td colspan="16">VARIABLES ACTIVES</td></tr><tr><td>note - note</td><td>.91</td><td>.34</td><td>.07</td><td>.11</td><td>.03</td><td>.91</td><td>.34</td><td>.07</td><td>.11</td><td>.03</td><td>.42</td><td>.24</td><td>.06</td><td>.11</td><td>.04</td></tr><tr><td>EQ1 - EQ1</td><td>.56</td><td>.13</td><td>.57</td><td>.26</td><td>.42</td><td>.56</td><td>.13</td><td>.57</td><td>.26</td><td>.42</td><td>.26</td><td>.09</td><td>.54</td><td>.27</td><td>.50</td></tr><tr><td>EQ3 - EQ3</td><td>.47</td><td>.21</td><td>.72</td><td>.19</td><td>.22</td><td>.47</td><td>.21</td><td>.72</td><td>.19</td><td>.22</td><td>.22</td><td>.15</td><td>.67</td><td>.19</td><td>.27</td></tr><tr><td>EQ3v - EQ3v</td><td>.49</td><td>.20</td><td>.31</td><td>.68</td><td>.38</td><td>.49</td><td>.20</td><td>.31</td><td>.68</td><td>.38</td><td>.23</td><td>.14</td><td>.29</td><td>.71</td><td>.46</td></tr><tr><td>Q - Q</td><td>.79</td><td>.07</td><td>.29</td><td>.09</td><td>.28</td><td>.79</td><td>.07</td><td>.29</td><td>.09</td><td>.28</td><td>.37</td><td>.05</td><td>.27</td><td>.10</td><td>.34</td></tr><tr><td>Ovid - Ovid</td><td>.81</td><td>.52</td><td>.10</td><td>.02</td><td>.17</td><td>.81</td><td>.52</td><td>.10</td><td>.02</td><td>.17</td><td>.38</td><td>.37</td><td>.10</td><td>.02</td><td>.20</td></tr><tr><td>AS - AS</td><td>.42</td><td>.60</td><td>.21</td><td>.43</td><td>.46</td><td>.42</td><td>.60</td><td>.21</td><td>.43</td><td>.46</td><td>.20</td><td>.43</td><td>.20</td><td>.44</td><td>.55</td></tr><tr><td>B=0 - B=0</td><td>.96</td><td>.07</td><td>.17</td><td>.00</td><td>.01</td><td>.96</td><td>.07</td><td>.17</td><td>.00</td><td>.01</td><td>.45</td><td>.05</td><td>.16</td><td>.00</td><td>.01</td></tr><tr><td>B1/2 - B1/2</td><td>.67</td><td>.68</td><td>.14</td><td>.24</td><td>.03</td><td>.67</td><td>.68</td><td>.14</td><td>.24</td><td>.03</td><td>.31</td><td>.48</td><td>.13</td><td>.25</td><td>.04</td></tr><tr><td>B>2 - B>2</td><td>.43</td><td>.81</td><td>.06</td><td>.31</td><td>.03</td><td>.43</td><td>.81</td><td>.06</td><td>.31</td><td>.03</td><td>.20</td><td>.58</td><td>.06</td><td>.32</td><td>.03</td></tr></tbody></table>

VARIABLES ILLUSTRATIVES

<table><tr><td>R</td><td>R</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>Pass</td><td>Pass</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>S1</td><td>S1</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>S2</td><td>S2</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>DET</td><td>DET</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>CAL</td><td>CAL</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>EXT</td><td>EXT</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>INI</td><td>INI</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>E11</td><td>E11</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>E12</td><td>E12</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>E13</td><td>E13</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>MAL</td><td>MAL</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>GEN</td><td>GEN</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>RGN</td><td>RGN</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>AIG</td><td>AIG</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>SYNT</td><td>SYNT</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>L1B</td><td>L1B</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>SOM</td><td>SOM</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>RG</td><td>RG</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>TR1</td><td>TR1</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>VP</td><td>VP</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>CTR</td><td>CTR</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>REC</td><td>REC</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>AFF</td><td>AFF</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>GMAT</td><td>GMAT</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>syst1</td><td>syst1</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>syst2</td><td>syst2</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>ele1</td><td>ele1</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>ele2</td><td>ele2</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>AL1</td><td>AL1</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>AL2</td><td>AL2</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>AL3</td><td>AL3</td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td><td></td></tr></table>
<figure><img src="image_48.png" /></figure>

ANNEXE J-7

Une proposition de devoir
E désigne l'ensemble des tableaux carrés 3x3 de réels.

On admettra que les opérations suivantes définissent sur E une structure d'espace vectoriel réel.

$$ \begin{array}{ccc} a & b & c \\ d & e & f \\ g & h & i \end{array} $$

$$ + \begin{array}{ccc} a' & b' & c' \\ d' & e' & f' \\ g' & h' & i' \end{array} $$

$$ = \begin{array}{ccc} a+a' & b+b' & c+c' \\ d+d' & e+e' & f+f' \\ g+g' & h+h' & i+i' \end{array} $$

et

A.

$$ \begin{array}{ccc} a & b & c \\ d & e & f \\ g & h & i \end{array} $$

$$ = \begin{array}{ccc} \lambda, \epsilon & \lambda, \beta & \lambda, \gamma \\ \lambda, \delta & \lambda, \epsilon & \lambda, \gamma \\ \lambda, \epsilon & \lambda, \gamma & \lambda, \iota \end{array} $$

F désigne l'ensemble des carrés magiques 3x3, c'est-à-dire des tableaux de E dont les sommes des éléments de chaque colonne, chaque ligne et chaque diagonale sont égales.

C désignera un élément de F et S(C) la somme commune de ces lignes colomnes ou diagonales.

1-a

$$ \begin{array}{ccc} 0,5 & -0,5 & ? \\ 5,5 & ? & ? \\ ? & ? & ? \end{array} $$

Peut-on compléter le carré ci-contre de façon à obtenir un carré magique C de somme S(C)=4,5 ?

1-b Montrer que F est un sous-espace vectoriel de E.

2- Pour chaque réel s, F<sub>s</sub> désigne l'ensemble des carrés magiques de somme s. F<sub>s</sub>={ C∈F/ S(C)=s }.

2-a Montrer que pour tout s, l'intersection de F<sub>s</sub> et de l'ensemble des carrés ayant le même nombre dans chacune de leurs cases, est réduite à un seul élément que l'on notera C<sub>s</sub>.

2-b Pour quelle(s) valeur(s) de s, F<sub>s</sub> est-il un sous-espace vectoriel de F<sub>s</sub>?

2-c Conjecture (*) : pour tout s, F<sub>s</sub> est une variété linéaire affine(**).

3-a

$$ \begin{array}{ccc} a & b & ? \\ c & ? & ? \\ ? & ? & ? \end{array} $$

A quelle condition sur a, b et c, peut-on remplir les cases vides du carré ci-contre de façon à obtenir un élément de F<sub>o</sub> ?

3-b

$$ \begin{array}{ccc} -x-y & 2x & y-x \\ 2y & 0 & -2y \\ x-y & -2x & x+y \end{array} $$

En déduire que tous les éléments de F<sub>o</sub> s'écrivent comme le carré ci-contre.

3-c Conjecture (*) : F<sub>o</sub> est un espace vectoriel de dimension 2.

4-a Donner la dimension et une base de F.

4-b Donner un carré magique utilisant tous les chiffres de 1 à 9.

<footnote>(*) Conjecture signifie que l'étudiant doit dire si la proposition est exacte ou non, en justifiant sa réponse dans le premier cas par une démonstration, dans le second par un contre-exemple.</footnote>

<footnote>(**) Si la notion de variété linéaire affine n'a pas été définie en cours on peut demander de montrer que F<sub>s</sub> = {C<sub>s</sub>} + F<sub>o</sub>.</footnote>
Editeur : IREM
Directeur Responsable de la publication : Régine DOUADY
Dépôt légal : Avril 1990
ISBN : 2-86612-099-X
IREM Université Paris VII
Tour 56/55 - 3ème étage, Case 7018
2 place Jussieu 75251 Paris Cedex 05