Devolver con el examen las hojas de enunciados ) ¿En qué consisten los métodos de clasificación por nubes dinámicas? puntos) 2)



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ad3d9jun03 Devolver con el examen las hojas de enunciados
1) ¿En qué consisten los métodos de clasificación por nubes dinámicas? (1.5 puntos)
2) Explica de forma precisa qué son y para qué sirven las contribuciones relativas en un Análisis de Correspondencias Simples. (1.5 puntos)
3) ¿Qué posibilidades ofrece SPAD para combinar métodos de clasificación jerárquicos y no jerárquicos? (1 punto)
4) Hemos realizado un estudio de la tabla de contingencia siguiente:
INSUFIC. SUFIC. BIEN NTBL SBRT

flsf filosofia 5 16 19 16 2

hist historia 33 103 108 46 5

geog geografia 5 7 3 0 0

fllg filologia 30 74 119 55 18

cinf c.informacion 32 86 82 47 9

info informatica 44 138 152 49 5

fisi fisica 8 15 8 20 6

quim quimica 5 21 19 27 5

biol biologia 28 70 72 48 10

geol geologia 9 10 14 8 1

mate matematicas 7 19 20 19 7

poli politicas 6 11 16 7 3

soci sociologia 8 28 22 3 1

psiq psicologia 35 104 112 37 6

peda pedagogia 22 56 48 21 3

ecem econ. empres. 28 111 104 72 11

medi medicina 44 92 145 134 42

vete veterinaria 22 43 51 17 5

farm farmacia 9 18 34 19 6

bell bellas artes 31 66 41 10 2

dere derecho 27 125 165 99 21

inef inef 23 48 38 8 1

indu i.industriales 6 25 38 8 1

agro i. agronomos 9 27 20 15 2

tele i.telecomunic. 6 11 17 20 12

arqu arquitectura 13 38 24 22 6

oets otras ingenierias 4 17 29 21 6


En ella se han cruzado las calificaciones en C.O.U y la carrera que comienzan los 4442 nuevos estudiantes de cierta Universidad. Utiliza la información de las salidas SPAD para contestar razonando las respuestas:
a) ¿Qué puedes decir de los perfiles poli y ecem dada su proximidad en el primer plano factorial y que además se encuentran cerca del cero (el cero representa el centro de gravedad de la nube)?¿ ... y qué puedes decir de los puntos hist y psiq? ¿Hay alguna diferencia entre la primera pareja y la segunda? . (0.5 puntos)
b) ¿Puedes extraer alguna conclusión o sospecha de la posición que ocupan dentro del plano factorial 1-2 puntos como soci, inef, bell y Geog.? Confírmalo con los restantes datos disponibles en las diferentas tablas. (0.5 puntos)
c) ¿Cuáles son las características del cluster número 2? (1 punto)
Todas estas preguntas 1) a 5) suman 6 puntos sobre una puntuación total de 15, que constituye el examen completo de toda la asignatura.

Los alumnos con el primer parcial aprobado, deberán responder además la pregunta 5). Esto completa 8 puntos sobre los 10 del segundo parcial completo.
5) Explica detalladamente cómo debemos interpretar la representación conjunta de perfiles fila y perfiles columna en un Análisis de Correspondencias Simple y en qué nos basamos para ello. (2 puntos)

EDITION DES VALEURS PROPRES

APERCU DE LA PRECISION DES CALCULS : TRACE AVANT DIAGONALISATION .... .0833

---------------------------------- SOMME DES VALEURS PROPRES ...... .0833

HISTOGRAMME DES 4 PREMIERES VALEURS PROPRES

+--------+------------+----------+----------+----------------------------------------------------------------------------------+

| NUMERO | VALEUR | POURCENT.| POURCENT.| |

| | PROPRE | | CUMULE | |

+--------+------------+----------+----------+----------------------------------------------------------------------------------+

| 1 | .0600 | 72.03 | 72.03 | ******************************************************************************** |

| 2 | .0139 | 16.64 | 88.67 | ******************* |

| 3 | .0071 | 8.53 | 97.20 | ********** |

| 4 | .0023 | 2.80 | 100.00 | **** |

+--------+------------+----------+----------+----------------------------------------------------------------------------------+

----------------------------------------------------------------------------------------------------------------------------------

COORDOONNEES, CONTRIBUTIONS ET COSINUS CARRES DES FREQUENCES SUR LES AXES 1 A 4

+------------------------------------------+-------------------------------+--------------------------+--------------------------+

| FREQUENCES | COORDONNEES | CONTRIBUTIONS | COSINUS CARRES |

|------------------------------------------+-------------------------------+--------------------------+--------------------------|

| IDEN - LIBELLE COURT P.REL DISTO | 1 2 3 4 0 | 1 2 3 4 0 | 1 2 3 4 0 |

+------------------------------------------+-------------------------------+--------------------------+--------------------------+

| |


| FREQUENCES ACTIVES |

| |


| INSU - INSU insuficiente 11.23 .11 | .20 -.23 .10 .07 .00 | 7.8 43.4 15.4 22.1 .0 | .38 .49 .09 .04 .00 |

| SUFI - SUFI fuficiente 31.04 .04 | .19 -.04 -.07 -.04 .00 | 18.9 2.9 21.2 25.9 .0 | .82 .03 .11 .04 .00 |

| BIEN - BIEN 34.22 .02 | .04 .14 .06 .01 .00 | 1.0 46.0 17.2 1.6 .0 | .08 .77 .15 .00 .00 |

| NTBL - NTBL notable 19.09 .14 | -.36 -.01 -.10 .04 .00 | 40.2 .3 24.3 16.1 .0 | .92 .00 .07 .01 .00 |

| SBRT - SBRT sobresaliente 4.41 .51 | -.66 -.15 .19 -.13 .00 | 32.0 7.4 21.8 34.3 .0 | .85 .05 .07 .04 .00 |

|------------------------------------------+-------------------------------+--------------------------+--------------------------|

----------------------------------------------------------------------------------------------------------------------------------

COORDOONNEES, CONTRIBUTIONS ET COSINUS CARRES DES INDIVIDUS SUR LES AXES 1 A 4

+---------------------------------------+-------------------------------+--------------------------+--------------------------+

| INDIVIDUS | COORDONNEES | CONTRIBUTIONS | COSINUS CARRES |

|---------------------------------------+-------------------------------+--------------------------+--------------------------|

| IDENTIFICATEUR P.REL DISTO | 1 2 3 4 0 | 1 2 3 4 0 | 1 2 3 4 0 |

+---------------------------------------+-------------------------------+--------------------------+--------------------------+

| flsf 1.31 .05 | -.15 .05 -.13 .10 .00 | .5 .2 3.1 5.2 .0 | .44 .04 .33 .19 .00 |

| hist 6.64 .03 | .16 .06 -.04 .01 .00 | 2.8 1.5 1.2 .5 .0 | .84 .11 .04 .01 .00 |

| geog .34 .81 | .68 -.57 .15 .08 .00 | 2.6 7.8 1.0 1.0 .0 | .57 .40 .03 .01 .00 |

| fllg 6.66 .03 | -.08 .09 .12 .00 .00 | .8 3.8 14.0 .0 .0 | .23 .26 .50 .00 .00 |

| cinf 5.76 .01 | .06 -.05 -.03 .01 .00 | .4 .9 .9 .2 .0 | .54 .29 .16 .01 .00 |

| info 8.73 .06 | .22 .09 .00 -.00 .00 | 7.2 5.1 .0 .0 .0 | .86 .14 .00 .00 .00 |

| fisi 1.28 .35 | -.45 -.37 -.12 .02 .00 | 4.3 12.9 2.4 .1 .0 | .56 .40 .04 .00 .00 |

| quim 1.73 .19 | -.37 -.05 -.23 .04 .00 | 4.0 .3 12.5 1.0 .0 | .72 .01 .26 .01 .00 |

| biol 5.13 .01 | -.03 -.05 -.03 .03 .00 | .1 1.0 .5 2.1 .0 | .14 .54 .14 .19 .00 |

| geol .95 .12 | .08 -.16 .13 .26 .00 | .1 1.8 2.2 28.2 .0 | .06 .22 .14 .58 .00 |

| mate 1.62 .11 | -.31 -.11 .01 -.07 .00 | 2.6 1.4 .0 3.8 .0 | .85 .10 .00 .05 .00 |

| poli .97 .04 | -.04 -.03 .19 -.00 .00 | .0 .1 4.8 .0 .0 | .05 .03 .92 .00 .00 |

| soci 1.40 .19 | .41 -.01 .01 -.16 .00 | 3.9 .0 .0 14.5 .0 | .87 .00 .00 .13 .00 |

| psiq 6.62 .05 | .20 .06 .02 -.02 .00 | 4.6 1.6 .4 .7 .0 | .91 .07 .01 .01 .00 |

| peda 3.38 .05 | .21 -.07 -.02 .01 .00 | 2.5 1.4 .3 .1 .0 | .88 .11 .01 .00 .00 |

| ecem 7.34 .02 | -.02 .03 -.13 -.01 .00 | .0 .4 17.2 .5 .0 | .02 .04 .93 .01 .00 |

| medi 10.29 .15 | -.38 -.04 .04 .03 .00 | 24.8 1.1 2.9 4.6 .0 | .97 .01 .01 .01 .00 |

| vete 3.11 .05 | .16 -.04 .13 .03 .00 | 1.4 .4 7.7 1.3 .0 | .57 .04 .37 .02 .00 |

| farm 1.94 .06 | -.19 .07 .14 .05 .00 | 1.2 .7 5.0 2.0 .0 | .58 .08 .30 .04 .00 |

| bell 3.38 .25 | .43 -.25 .03 -.03 .00 | 10.5 15.2 .3 1.2 .0 | .74 .25 .00 .00 .00 |

| dere 9.84 .04 | -.12 .14 -.05 -.02 .00 | 2.3 13.6 2.9 1.6 .0 | .39 .54 .06 .01 .00 |

| inef 2.66 .20 | .42 -.15 .06 .01 .00 | 7.6 4.5 1.5 .1 .0 | .86 .12 .02 .00 .00 |

| indu 1.76 .14 | .22 .29 .08 -.02 .00 | 1.4 10.4 1.7 .4 .0 | .34 .60 .05 .00 .00 |

| agro 1.64 .03 | .07 -.10 -.14 .01 .00 | .1 1.2 4.4 .0 .0 | .14 .29 .57 .00 .00 |

| tele 1.49 .59 | -.68 -.20 .21 -.20 .00 | 11.4 4.5 9.5 25.0 .0 | .78 .07 .08 .07 .00 |

| arqu 2.32 .05 | -.03 -.19 -.10 -.08 .00 | .0 6.2 3.5 5.7 .0 | .02 .68 .20 .11 .00 |

| oets 1.73 .12 | -.32 .13 .01 -.01 .00 | 3.0 2.2 .0 .2 .0 | .86 .14 .00 .00 .00 |

+---------------------------------------+-------------------------------+--------------------------+--------------------------+

AXE 2


----------------------------------------------------------------------------------------------indu-----------------

| | |


| | |

| | |


| | |

| | |


| | |

| | |


.15 + | |

| dere | BIEN |

| oets | |

| | |


| fllg | info |

| | |


| farm | histpsiq |

| flsf | |

| ecem |

| | |


.00 +-----------------------------------------------------------------------+-------------------------------------------|

| NTBL | soci

| poli | SUFI |

| medi | cinf vete |

| quim biol | |

| | peda |

| | |

| mate | agro |



| | |

| | |


-.15 SBRT | inef

| | geol |

| | |

tele arqu | |



| | |

| | INSU |

| | bell

| | |


| | |

| | |


-.30 + | |

| | |


| | |

| | |


-------+--------------fisi-------------+---------------+---------------+---------------+---------------+----------geog

-.60 -.45 -.30 -.15 .00 .15 .30

CLASSIFICATION ASCENDANTE HIERARCHIQUE : DESCRIPTION DES NOEUDS

----------------------------------------------------------------------------------------------------------------------------------

NUM. AINE BENJ EFF. POIDS INDICE HISTOGRAMME DES INDICES DE NIVEAU

28 6 14 2 682.00 .00007 *

29 4 12 2 339.00 .00017 *

30 5 24 2 329.00 .00018 *

31 22 20 2 268.00 .00018 *

32 29 19 3 425.00 .00022 *

33 30 9 3 557.00 .00029 *

34 28 2 3 977.00 .00029 *

35 17 11 2 529.00 .00031 *

36 16 1 2 384.00 .00033 *

37 15 18 2 288.00 .00046 *

38 35 27 3 606.00 .00055 **

39 26 33 4 660.00 .00068 **

40 31 3 3 283.00 .00068 **

41 37 10 3 330.00 .00073 **

42 40 13 4 345.00 .00083 **

43 7 8 2 134.00 .00089 **

44 34 23 4 1055.00 .00089 **

45 39 36 6 1044.00 .00109 ***

46 32 21 4 862.00 .00179 ****

47 44 41 7 1385.00 .00180 ****

48 38 43 5 740.00 .00185 ****

49 48 25 6 806.00 .00285 *******

50 46 45 10 1906.00 .00501 ***********

51 42 47 11 1730.00 .00714 ****************

52 49 50 16 2712.00 .01660 ************************************

53 51 52 27 4442.00 .03739 *********************************************************************************

RANG IND. IDEN DENDROGRAMME (INDICES EN POURCENTAGE DE LA SOMME DES INDICES : .08327 MIN = .09% / MAX = 44.90%)

1 .39 flsf --+

|

2 1.31 ecem --*-+



|

3 .34 biol --+ |

| |

4 .21 agro --* |



| |

5 .81 cinf --*+|

||

6 6.02 arqu ---**-----------+



|

7 2.15 dere -------+ |

| |

8 .27 farm --+ | |



| | |

9 .21 poli --* | |

| | |

10 19.93 fllg --*----*--------*---------------------------------+



|

11 3.43 tele ----------+ |

| |

12 1.07 quim ----+ | |



| | |

13 2.23 fisi ----*--+ | |

| | |

14 .66 oets ---+ | | |



| | | |

15 .38 mate --+| | | |

|| | | |

16 44.90 medi --**---*--*---------------------------------------*------------------------------------------------------------+

|

17 .87 geol ---+ |



| |

18 .55 vete ---* |

| |

19 2.16 peda ---*---+ |



| |

20 1.07 indu ----+ | |

| | |

21 .35 hist --+ | | |



| | | |

22 .09 psiq --* | | |

| | | |

23 8.57 info --*-*--*--------------+ |



| |

24 .99 soci ----+ | |

| | |

25 .82 geog ---+| | |



|| | |

26 .22 bell --+|| | |

||| | |

27 ----- inef --***-----------------*----------------------------------------------------------------------------------------*


+----------------------------------------------------+-------------------------------------+-------------------------------------+

| CLASSES | COORDONNEES | VALEURS-TEST |

+----------------------------------------------------+-------------------------------------+-------------------------------------+

| IDEN - LIBELLE EFFEC. P.ABS DISTO | 1 2 3 4 0 | 1 2 3 4 0 |

+----------------------------------------------------+-------------------------------------+-------------------------------------+

| |


| COUPURE 'a' DE L'ARBRE EN 4 CLASSES |

| |


| aa1a - CLASSE 1 / 4 10 1906.00 .00 | -.05 .03 -.03 .00 .00 | -.81 .90 -1.19 -.03 .00 |

| aa2a - CLASSE 2 / 4 6 806.00 .16 | -.40 -.07 .01 -.00 .00 | -4.42 -1.55 .48 -.07 .00 |

| aa3a - CLASSE 3 / 4 7 1385.00 .04 | .19 .05 .02 .01 .00 | 2.38 1.24 .59 .60 .00 |

| aa4a - CLASSE 4 / 4 4 345.00 .22 | .43 -.19 .04 -.03 .00 | 3.75 -3.38 1.04 -1.47 .00 |

+----------------------------------------------------+-------------------------------------+-------------------------------------+

+-------------------------------------------------------------------------+-------------+-------------+----------+

| NUM . FREQUENCE IDEN | CHI-2 | PROBABILITE | VAL.TEST |

+-------------------------------------------------------------------------+-------------+-------------+----------+

| 4 . NTBL notable NTBL | 106.73 | .0000 | 9.80 |

+-------------------------------------------------------------------------+-------------+-------------+----------+

FREQUENCES ACTIVES

+-----------------------------+-------+-------+-------+-------+-------+

| EFFECTIF | | | | | |

| % EN LIGNE | TOTAL | aa1a | aa2a | aa3a | aa4a |

| % EN COLONNE | | | | | |

+-----------------------------+-------+-------+-------+-------+-------+

| | 499 | 187 | 74 | 171 | 67 |

| INSU - INSU insuficiente |100.00 | 37.47 | 14.83 | 34.27 | 13.43 |

| | 11.23 | 9.81 | 9.18 | 12.35 | 19.42 |

+-----------------------------+-------+-------+-------+-------+-------+

| | 1379 | 576 | 175 | 479 | 149 |

| SUFI - SUFI fuficiente |100.00 | 41.77 | 12.69 | 34.74 | 10.80 |

| | 31.04 | 30.22 | 21.71 | 34.58 | 43.19 |

+-----------------------------+-------+-------+-------+-------+-------+

| | 1520 | 655 | 238 | 523 | 104 |

| BIEN - BIEN |100.00 | 43.09 | 15.66 | 34.41 | 6.84 |

| | 34.22 | 34.37 | 29.53 | 37.76 | 30.14 |

+-----------------------------+-------+-------+-------+-------+-------+

| | 848 | 400 | 241 | 186 | 21 |

| NTBL - NTBL notable |100.00 | 47.17 | 28.42 | 21.93 | 2.48 |

| | 19.09 | 20.99 | 29.90 | 13.43 | 6.09 |

+-----------------------------+-------+-------+-------+-------+-------+

| | 196 | 88 | 78 | 26 | 4 |

| SBRT - SBRT sobresaliente |100.00 | 44.90 | 39.80 | 13.27 | 2.04 |

| | 4.41 | 4.62 | 9.68 | 1.88 | 1.16 |

+-----------------------------+-------+-------+-------+-------+-------+

| | 4442 | 1906 | 806 | 1385 | 345 |

| ENSEMBLE |100.00 | 42.91 | 18.14 | 31.18 | 7.77 |

| |100.00 |100.00 |100.00 |100.00 |100.00 |

+-----------------------------+-------+-------+-------+-------+-------+


CHI2 = 271.52 / 12 DEGRES DE LIBERTE / 0 EFFECTIFS THEORIQUES INFERIEURS A 5 / PROBA ( CHI2 > 271.52 ) = .000 / V.TEST = 14.99

=================================================================================================================================

CARACTERISATION PAR LES FREQUENCES

DES CLASSES OU MODALITES DE : COUPURE 'a' DE L'ARBRE EN 4 CLASSES

==================================================================================================================================

+-------------------------------------------------------------------------+-------------------------+---------+------------------+

| FREQUENCES CARACTERISTIQUES | POURCENTAGES | POIDS | VAL.TEST PROBA |

| NUM . LIBELLE IDEN | CLA/FRE FRE/CLA GLOBAL | | |

+-------------------------------------------------------------------------+-------------------------+---------+------------------+

| | | | |

| CLASSE 1 / 4 aa1a | 42.91 | 1906 | |

| | | | |

| 4 . NTBL notable NTBL | 47.17 20.99 19.09 | 848 | 2.74 .0030 |

| 1 . INSU insuficiente INSU | 37.47 9.81 11.23 | 499 | -2.57 .0051 |

+-------------------------------------------------------------------------+-------------------------+---------+------------------+

| | | | |

| CLASSE 2 / 4 aa2a | 18.14 | 806 | |

| | | | |

| 4 . NTBL notable NTBL | 28.42 29.90 19.09 | 848 | 8.22 .0000 |

| 5 . SBRT sobresaliente SBRT | 39.80 9.68 4.41 | 196 | 7.21 .0000 |

| 3 . BIEN BIEN | 15.66 29.53 34.22 | 1520 | -3.09 .0010 |

| 2 . SUFI fuficiente SUFI | 12.69 21.71 31.04 | 1379 | -6.45 .0000 |

+-------------------------------------------------------------------------+-------------------------+---------+------------------+

| | | | |

| CLASSE 3 / 4 aa3a | 31.18 | 1385 | |

| | | | |

| 2 . SUFI fuficiente SUFI | 34.74 34.58 31.04 | 1379 | 3.38 .0004 |

| 3 . BIEN BIEN | 34.41 37.76 34.22 | 1520 | 3.30 .0005 |

| 5 . SBRT sobresaliente SBRT | 13.27 1.88 4.41 | 196 | -5.86 .0000 |

| 4 . NTBL notable NTBL | 21.93 13.43 19.09 | 848 | -6.58 .0000 |

+-------------------------------------------------------------------------+-------------------------+---------+------------------+

| | | | |

| CLASSE 4 / 4 aa4a | 7.77 | 345 | |

| | | | |

| 2 . SUFI fuficiente SUFI | 10.80 43.19 31.04 | 1379 | 4.89 .0000 |

| 1 . INSU insuficiente INSU | 13.43 19.42 11.23 | 499 | 4.58 .0000 |

| 5 . SBRT sobresaliente SBRT | 2.04 1.16 4.41 | 196 | -3.34 .0004 |

| 4 . NTBL notable NTBL | 2.48 6.09 19.09 | 848 | -7.08 .0000 |

+-------------------------------------------------------------------------+-------------------------+---------+------------------+
AXE 2

--------------------------------------------------------------------------------------------------3----------------------

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| 2 | 1 3 |

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--------+----------+-----2----+----------+----------+----------+----------+----------+----------+----------+----------+--4



-.6 -.5 -.4 -.3 -.2 -.1 .0 .1 .2 .3 .4


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