ANALYSE FACTORIELLE DES

CORRESPONDANCES SIMPLES

EXEMPLES 1. TYPE D’EUDES – CSP DES PARENTS 2. A PARTIR DE QUEL AGE ? 3. CHOIX D’UN NOM DE MARQUE DE CIGARETTES ( D’APRES J.P. BENZECRI )

SELECTION DES INDIVIDUS ET DES VARIABLES UTILES FREQUENCES ACTIVES 8 VARIABLES --------------------------------------------------------------------------------------------- 1 . DROIT ( CONTINUE ) 2 . SCIE-ECO ( CONTINUE ) 3 . LETTRES ( CONTINUE ) 4 . SCIENCES ( CONTINUE ) 5 . MEDECINE ( CONTINUE ) 6 . PHARMA ( CONTINUE ) 7 . PLURI ( CONTINUE ) 8 . IUT ( CONTINUE ) ----------------------------------------------------------------------------------------------

ANALYSE DES CORRESPONDANCES BINAIRES VALEURS PROPRES APERCU DE LA PRECISION DES CALCULS : TRACE AVANT DIAGONALISATION .. 0.0475 SOMME DES VALEURS PROPRES .... 0.0475

La trace de la matrice vaut 0.0475 qui n’est autre que le Khi-deux divisé par 10000 ( Nombre total d’individus) HISTOGRAMME DES 7 PREMIERES VALEURS PROPRES +--------+------------+-------------+-------------+-------------------------------------------------------------------------+ | NUMERO | VALEUR | POURCENTAGE | POURCENTAGE | | | | PROPRE | | CUMULE | | +--------+------------+-------------+-------------+-------------------------------------------------------------------------+ | 1 | 0.0397 | 83.72 | 83.72 |************************************************************************** | 2 | 0.0055 | 11.49 | 95.20 |*********** | 3 | 0.0011 | 2.38 | 97.58 | *** | 4 | 0.0010 | 2.02 | 99.60 | ** | 5 | 0.0001 | 0.28 | 99.88 | * | 6 | 0.0001 | 0.11 | 100.00 | * | 7 | 0.0000 | 0.00 | 100.00 | * +--------+------------+-------------+-------------+--------------------------------------------------------------------------

D’après les résultats précédents on pourra se contenter de deux facteurs seulement que l’on interprétera en s’aidant des contributions prédominantes (en rouge) COORDONNEES, CONTRIBUTIONS DES FREQUENCES SUR LES AXES 1 A 5 FREQUENCES ACTIVES

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

| FREQUENCES | COORDONNEES | CONTRIBUTIONS | COSINUS CARRES | |------------------------------------------+-------------------------------+--------------------------+--------------------------| | IDEN - LIBELLE COURT P.REL DISTO | 1 2 3 4 5 | 1 2 3 4 5 | 1 2 3 4 5 | +------------------------------------------+-------------------------------+--------------------------+--------------------------+ | C2 - DROIT 15.92 0.00 | 0.00 -0.03 0.04 -0.01 -0.02 | 0.0 3.1 26.0 0.7 53.0 | 0.00 0.31 0.54 0.01 0.13 | | C3 - SCIE-ECO 6.39 0.00 | -0.01 0.01 0.06 0.00 0.01 | 0.0 0.2 17.8 0.0 8.6 | 0.03 0.03 0.76 0.00 0.04 | | C4 - LETTRES 30.93 0.01 | 0.09 -0.07 -0.01 -0.01 0.01 | 6.3 31.3 1.8 2.3 15.2 | 0.59 0.40 0.00 0.01 0.00 | | C5 - SCIENCES 14.90 0.02 | 0.10 0.05 -0.02 0.06 0.00 | 3.4 6.9 7.3 63.8 2.0 | 0.56 0.15 0.03 0.25 0.00 | | C6 - MEDECINE 20.05 0.10 | -0.31 0.02 -0.03 -0.02 0.00 | 49.6 1.5 19.1 5.6 0.7 | 0.98 0.00 0.01 0.00 0.00 | | C7 - PHARMA 4.04 0.10 | -0.25 0.18 0.08 0.01 0.02 | 6.3 24.3 23.8 0.1 15.7 | 0.61 0.32 0.07 0.00 0.01 | | C8 - PLURI 2.06 0.04 | 0.18 -0.06 0.02 0.03 0.02 | 1.6 1.5 0.6 2.4 4.2 | 0.85 0.11 0.01 0.03 0.01 | | C9 - IUT 5.71 0.26 | 0.48 0.17 -0.03 -0.06 0.00 | 32.7 31.2 3.6 25.1 0.7 | 0.87 0.11 0.00 0.02 0.00 | +------------------------------------------+-------------------------------+--------------------------+--------------------------+ COORDONNEES, CONTRIBUTIONS ET COSINUS CARRES DES INDIVIDUS AXES 1 A 5 +---------------------------------------+-------------------------------+--------------------------+--------------------------+ | INDIVIDUS | COORDONNEES | CONTRIBUTIONS | COSINUS CARRES | |---------------------------------------+-------------------------------+--------------------------+--------------------------| | IDENTIFICATEUR P.REL DISTO | 1 2 3 4 5 | 1 2 3 4 5 | 1 2 3 4 5 | +---------------------------------------+-------------------------------+--------------------------+--------------------------+ | EXP-AGRI 5.11 0.11 | 0.23 0.23 0.05 0.03 -0.01 | 7.0 48.0 11.0 5.0 6.5 | 0.50 0.47 0.02 0.01 0.00 | | SAL-AGRI 0.39 0.11 | 0.32 -0.03 -0.02 -0.05 0.03 | 1.0 0.1 0.2 1.1 2.1 | 0.93 0.01 0.00 0.02 0.01 | | PATRON 10.35 0.01 | -0.02 0.03 0.05 -0.04 0.02 | 0.1 1.7 26.3 14.6 43.0 | 0.06 0.15 0.47 0.22 0.09 | | LIB-CSUP 30.31 0.07 | -0.26 0.02 -0.02 -0.01 0.00 | 53.0 3.2 6.8 2.1 4.2 | 0.99 0.01 0.00 0.00 0.00 | | CAD-MOYE 15.52 0.01 | 0.05 -0.01 -0.02 0.06 0.01 | 1.0 0.4 3.2 53.1 12.1 | 0.39 0.02 0.04 0.53 0.02 | | EMPLOYE 8.50 0.01 | 0.10 -0.03 0.02 0.02 -0.01 | 2.3 1.7 4.5 2.9 9.5 | 0.81 0.08 0.05 0.02 0.01 | | OUVRIER 11.31 0.12 | 0.33 0.03 -0.06 -0.04 0.00 | 31.9 1.9 35.9 16.4 0.1 | 0.95 0.01 0.03 0.01 0.00 | | PER-SERV 0.80 0.11 | 0.29 -0.02 0.10 -0.07 -0.06 | 1.7 0.1 7.2 4.5 20.2 | 0.81 0.00 0.10 0.05 0.03 | | AUTRES 17.71 0.02 | 0.07 -0.12 0.02 0.00 0.00 | 2.1 43.0 4.9 0.3 2.2 | 0.25 0.73 0.02 0.00 0.00 | +---------------------------------------+-------------------------------+--------------------------+--------------------------+

- ETUDES-CSP 3 -

- ETUDES-CSP 4 -

2

On a réalisé une analyse des correspondances simples sur ce tableau. Les résultats sont présentés dans les tableaux 1 à 6 et les graphiques qui suivent. 1)Combien d’axes proposez-vous d’interpréter? 2)Quels sont les profils lignes et les profils colonnes qui s’éloignent le plus des profils marginaux? 3)Interpréter les axes retenus en fonction des lignes, puis des colonnes. On dégagera ensuite les associations les plus fortes entre lignes et colonnes. 4)Citer trois âges bien représentés dans le plan 1-2. 5)Comment représente t-on la variable supplémentaire quantitative âge moyen? 6)Le tableau 7 présente les résultats d’une classification hiérarchique ( méthode de Ward ) effectuée sur les profils lignes. Commenter les résultats obtenus.

3

SELECTION DES INDIVIDUS ET DES VARIABLES UTILES

TABLEAU 1

VARIABLES CONTINUES ILLUSTRATIVES 1 VARIABLE ---------------------------------------------------------------------------------------------------------------------------------- 9 . Age-moyen ( CONTINUE ) --------------------------------------

FREQUENCES ACTIVES --------------------------------------------------------------------------------------------

8 VARIABLES ---------------------------------------------------------------------------------------------------------------------------------- 1 . Moins-de14 ans ( CONTINUE ) 2 . 14ans ( CONTINUE ) 3 . 15ans ( CONTINUE ) 4 . 16ans ( CONTINUE ) 5 . 17ans ( CONTINUE ) 6 . 18ans ( CONTINUE ) 7 . Plus-de-18ans ( CONTINUE ) 8 . sans-opinion ( CONTINUE ) ---------------------------------------------------------------------------------------------------------------------------------- INDIVIDUS ----------------------------- NOMBRE -------------- POIDS --- POIDS DES INDIVIDUS: Poids des individus (somme des frequences actives). RETENUS ............ NITOT = 14 PITOT = 1400.000 ACTIFS ............. NIACT = 14 PIACT = 1400.000 SUPPLEMENTAIRES .... NISUP = 0 PISUP = 0.000 -------------------------------------------------------------- INDIVIDUS ----------------------------- NOMBRE -------------- POIDS --- POIDS DES INDIVIDUS: Poids des individus (somme des frequences actives). RETENUS ............ NITOT = 14 PITOT = 1400.000 SELECTION APRES AJUSTEMENT ACTIFS ............. NIACT = 14 PIACT = 1400.000 SUPPLEMENTAIRES .... NISUP = 0 PISUP = 0.000 --------------------------------------------------------------

ANALYSE DES CORRESPONDANCES BINAIRES

TABLEAU 2: VALEURS PROPRES APERCU DE LA PRECISION DES CALCULS : TRACE AVANT DIAGONALISATION .. 0.5921 SOMME DES VALEURS PROPRES .... 0.5921 HISTOGRAMME DES 7 PREMIERES VALEURS PROPRES +--------+------------+----------+----------+----------------------------------------------------------------------------------+ | NUMERO | VALEUR | POURCENT.| POURCENT.| | | | PROPRE | | CUMULE | | +--------+------------+----------+----------+----------------------------------------------------------------------------------+ | 1 | 0.3918 | 66.18 | 66.18 | ******************************************************************************** | | 2 | 0.1210 | 20.43 | 86.61 | ************************* | | 3 | 0.0613 | 10.35 | 96.97 | ************* | | 4 | 0.0121 | 2.05 | 99.02 | *** | | 5 | 0.0045 | 0.76 | 99.78 | * | | 6 | 0.0008 | 0.13 | 99.91 | * | | 7 | 0.0006 | 0.09 | 100.00 | * | +--------+------------+----------+----------+----------------------------------------------------------------------------------+ TEST DU KHI-2 POUR LE CHOIX DES AXES (AU SEUIL USUEL ALLER JUSQU'A LA PREMIERE VALEUR-TEST > 2.0) +--------+------------+----------+----------+---------+-+ | NOMBRE | STAT | DEGRE DE | PROBA | VALEUR | | | D'AXES | KHI2 | LIBERTE | X>KHI2 | TEST | | +--------+------------+----------+----------+---------+-+ | 1 | 280.31 | 72 | 0.0000 | -10.56 |*| | 2 | 110.95 | 55 | 0.0000 | -4.23 |*| +--------+------------+----------+----------+---------+-+

TABLEAU 3 COORDONNEES, CONTRIBUTIONS DES FREQUENCES SUR LES AXES 1 A 5. FREQUENCES ACTIVES +------------------------------------------+-------------------------------+--------------------------+--------------------------+ | FREQUENCES | COORDONNEES | CONTRIBUTIONS | COSINUS CARRES | |------------------------------------------+-------------------------------+--------------------------+--------------------------| | IDEN - LIBELLE COURT P.REL DISTO | 1 2 3 4 5 | 1 2 3 4 5 | 1 2 3 4 5 | +------------------------------------------+-------------------------------+--------------------------+--------------------------+ | M14 - Moins-de14 ans 12.50 1.61 | 1.07 -0.68 0.09 -0.04 -0.01 | 36.4 47.2 1.8 1.8 0.1 | 0.71 0.28 0.01 0.00 0.00 | | A14 - 14ans 8.07 0.59 | 0.66 0.34 -0.07 0.16 0.04 | 9.1 7.6 0.7 17.9 3.3 | 0.74 0.19 0.01 0.05 0.00 | | A15 - 15ans 11.64 0.40 | 0.51 0.35 -0.07 0.10 0.05 | 7.7 12.1 1.0 9.5 5.8 | 0.64 0.31 0.01 0.02 0.01 | | A16 - 16ans 18.50 0.17 | 0.19 0.35 0.02 -0.08 -0.05 | 1.8 18.7 0.1 10.2 10.8 | 0.22 0.71 0.00 0.04 0.02 | | A17 - 17ans 6.14 0.17 | -0.19 0.26 0.15 -0.17 -0.12 | 0.5 3.4 2.4 14.5 20.9 | 0.20 0.38 0.14 0.17 0.09 | | A18 - 18ans 27.29 0.42 | -0.62 -0.08 0.17 -0.03 0.07 | 26.8 1.4 12.3 2.4 29.6 | 0.91 0.01 0.07 0.00 0.01 | | P18 - Plus-de-18ans 5.29 1.05 | -0.87 -0.32 0.27 0.32 -0.16 | 10.2 4.4 6.2 43.4 29.0 | 0.72 0.10 0.07 0.10 0.02 | | SOP - sans-opinion 10.57 0.78 | -0.53 -0.25 -0.66 -0.02 -0.02 | 7.5 5.4 75.5 0.3 0.6 | 0.36 0.08 0.56 0.00 0.00 | +------------------------------------------+-------------------------------+--------------------------+--------------------------+

4

TABLEAU 4: COORDONNEES, CONTRIBUTIONS ET COSINUS CARRES DES INDIVIDUS. AXES 1 A 5 +---------------------------------------+-------------------------------+--------------------------+--------------------------+ | INDIVIDUS | COORDONNEES | CONTRIBUTIONS | COSINUS CARRES | |---------------------------------------+-------------------------------+--------------------------+--------------------------| | IDENTIFICATEUR P.REL DISTO | 1 2 3 4 5 | 1 2 3 4 5 | 1 2 3 4 5 | +---------------------------------------+-------------------------------+--------------------------+--------------------------+ | LECTURES 7.14 2.34 | 1.17 -0.97 0.09 -0.08 -0.03 | 25.1 55.5 1.0 4.1 1.4 | 0.59 0.40 0.00 0.00 0.00 | | TELE 7.14 0.35 | 0.58 0.04 0.00 -0.01 0.06 | 6.2 0.1 0.0 0.0 5.1 | 0.98 0.00 0.00 0.00 0.01 | | BOUM 7.14 0.35 | 0.56 0.17 0.01 0.06 0.01 | 5.8 1.8 0.0 2.1 0.1 | 0.90 0.08 0.00 0.01 0.00 | | VETEMENT 7.14 0.41 | 0.57 0.25 0.01 0.15 0.03 | 5.9 3.5 0.0 13.6 1.1 | 0.79 0.15 0.00 0.06 0.00 | | TARD 7.14 0.21 | 0.42 0.16 -0.06 0.03 0.05 | 3.2 1.6 0.4 0.4 3.4 | 0.84 0.13 0.01 0.00 0.01 | | MAQUILLER 7.14 0.35 | 0.48 0.32 -0.11 0.08 -0.02 | 4.2 6.2 1.5 3.7 0.7 | 0.65 0.29 0.04 0.02 0.00 | | PILULE 7.14 0.13 | 0.12 0.32 -0.10 -0.04 -0.02 | 0.3 6.1 1.2 0.9 0.9 | 0.11 0.77 0.07 0.01 0.00 | | MINUIT 7.14 0.26 | 0.03 0.47 0.11 -0.14 -0.05 | 0.0 13.3 1.3 11.5 4.1 | 0.00 0.86 0.04 0.07 0.01 | | VACANCES 7.14 0.36 | -0.41 0.15 0.34 -0.24 -0.02 | 3.0 1.3 13.4 34.6 0.6 | 0.46 0.06 0.32 0.16 0.00 | | FUMER 7.14 0.78 | -0.60 -0.16 -0.63 -0.07 -0.01 | 6.5 1.5 46.1 2.6 0.2 | 0.45 0.03 0.51 0.01 0.00 | | AMI 7.14 0.51 | -0.63 -0.15 0.16 0.14 -0.18 | 7.3 1.4 3.1 11.6 54.5 | 0.79 0.05 0.05 0.04 0.07 | | SORTIR 7.14 0.63 | -0.73 -0.11 0.27 -0.02 0.11 | 9.6 0.8 8.6 0.2 20.9 | 0.84 0.02 0.12 0.00 0.02 | | ALCOOL 7.14 0.72 | -0.73 -0.24 -0.36 -0.02 0.03 | 9.7 3.3 15.1 0.2 1.6 | 0.74 0.08 0.18 0.00 0.00 | | NUIT 7.14 0.88 | -0.85 -0.25 0.27 0.16 0.06 | 13.1 3.7 8.4 14.5 5.2 | 0.81 0.07 0.08 0.03 0.00 | +---------------------------------------+-------------------------------+--------------------------+--------------------------+

TABLEAU 5:CORRELATIONS ENTRE LES VARIABLES CONTINUES ET LES FACTEURS. AXES 1 A 5 +-----------------------------------+------------------------------------+------------------------------------+ | VARIABLES | CARACTERISTIQUES | CORRELATIONS | |-----------------------------------+------------------------------------+------------------------------------| | NUM . (IDEN) LIBELLE COURT | EFF. P.ABS MOYENNE EC.TYPE | 1 2 3 4 5 | +-----------------------------------+------------------------------------+------------------------------------+ | 9 . (AGEM) Age-moyen | 14 1400.00 16.00 1.70 | -0.96 0.24 0.00 0.08 0.02 | +-----------------------------------+------------------------------------+------------------------------------+

TABLEAU 6:DESCRIPTION DES AXES FACTORIELS

DESCRIPTION DU FACTEUR 1 PAR LES INDIVIDUS ACTIFS +--------------------------------------------------------------------------------------------+ | COORD. | POIDS | IDENTIFICATEUR DE L'INDIVIDU | NUMERO | |--------------------------------------------------------------------------------------------| | -0.85 | 100.00 | NUIT | 1 | | -0.73 | 100.00 | ALCOOL | 2 | | -0.73 | 100.00 | SORTIR | 3 | |--------------------------------------------------------------------------------------------| | Z O N E C E N T R A L E | |--------------------------------------------------------------------------------------------| | 0.57 | 100.00 | VETEMENT | 12 | | 0.58 | 100.00 | TELE | 13 |

-------------------------------------------------------------------------------------------+ | 1.17 | 100.00 | LECTURES | 14 |

+-

PAR LES FREQUENCES ACTIVES +--------------------------------------------------------------------------------------------+ | COORD. | POIDS | LIBELLE DE LA VARIABLE | NUMERO | |--------------------------------------------------------------------------------------------| | -0.87 | 74.00 | Plus-de-18ans | 1 | | -0.62 | 382.00 | 18ans | 2 | |--------------------------------------------------------------------------------------------| | Z O N E C E N T R A L E | |--------------------------------------------------------------------------------------------| | 0.66 | 113.00 | 14ans | 7 | | 1.07 | 175.00 | Moins-de14 ans | 8 | +--------------------------------------------------------------------------------------------+

DESCRIPTION DU FACTEUR 2 PAR LES INDIVIDUS ACTIFS +--------------------------------------------------------------------------------------------+ | COORD. | POIDS | IDENTIFICATEUR DE L'INDIVIDU | NUMERO | |--------------------------------------------------------------------------------------------| | -0.97 | 100.00 | LECTURES | 1 | | -0.25 | 100.00 | NUIT | 2 | | -0.24 | 100.00 | ALCOOL | 3 | |--------------------------------------------------------------------------------------------| | Z O N E C E N T R A L E | |--------------------------------------------------------------------------------------------| | 0.32 | 100.00 | PILULE | 12 | | 0.32 | 100.00 | MAQUILLER | 13 |

-------------------------------------------------------------------------------------------+ | 0.47 | 100.00 | MINUIT | 14 |

+-

5

PAR LES FREQUENCES ACTIVES +--------------------------------------------------------------------------------------------+ | COORD. | POIDS | LIBELLE DE LA VARIABLE | NUMERO | |--------------------------------------------------------------------------------------------| | -0.68 | 175.00 | Moins-de14 ans | 1 | | -0.32 | 74.00 | Plus-de-18ans | 2 | |--------------------------------------------------------------------------------------------| | Z O N E C E N T R A L E | |--------------------------------------------------------------------------------------------| | 0.35 | 259.00 | 16ans | 7 | | 0.35 | 163.00 | 15ans | 8 | +-

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

DESCRIPTION DU FACTEUR 3 PAR LES INDIVIDUS ACTIFS +--------------------------------------------------------------------------------------------+ | COORD. | POIDS | IDENTIFICATEUR DE L'INDIVIDU | NUMERO | |--------------------------------------------------------------------------------------------| | -0.63 | 100.00 | FUMER | 1 | | -0.36 | 100.00 | ALCOOL | 2 | | -0.11 | 100.00 | MAQUILLER | 3 | |--------------------------------------------------------------------------------------------| | Z O N E C E N T R A L E | |--------------------------------------------------------------------------------------------| | 0.27 | 100.00 | NUIT | 12 | | 0.27 | 100.00 | SORTIR | 13 | | 0.34 | 100.00 | VACANCES | 14 | +--------------------------------------------------------------------------------------------+

PAR LES FREQUENCES ACTIVES +--------------------------------------------------------------------------------------------+ | COORD. | POIDS | LIBELLE DE LA VARIABLE | NUMERO | |--------------------------------------------------------------------------------------------| | -0.66 | 148.00 | sans-opinion | 1 | | -0.07 | 113.00 | 14ans | 2 | |--------------------------------------------------------------------------------------------| | Z O N E C E N T R A L E | |--------------------------------------------------------------------------------------------| | 0.17 | 382.00 | 18ans | 7 | | 0.27 | 74.00 | Plus-de-18ans | 8 | +--------------------------------------------------------------------------------------------+

TABLEAU 7:

SUR LES 7 PREMIERS AXES FACTORIELS CLASSIFICATION HIERARCHIQUE (VOISINS RECIPROQUES)

DESCRIPTION DES NOEUDS NUM. AINE BENJ EFF. POIDS INDICE HISTOGRAMME DES INDICES DE NIVEAU 15 4 3 2 200.00 0.00078 * 16 6 5 2 200.00 0.00148 * 17 16 15 4 400.00 0.00197 * 18 14 12 2 200.00 0.00245 * 19 17 2 5 500.00 0.00326 * 20 8 7 2 200.00 0.00326 * 21 13 10 2 200.00 0.00363 * 22 18 11 3 300.00 0.00543 ** 23 22 9 4 400.00 0.01797 ***** 24 20 19 7 700.00 0.02765 ******* 25 23 21 6 600.00 0.05564 ************** 26 24 1 8 800.00 0.13214 ******************************** 27 25 26 14 1400.00 0.33641 ********************************************************************************* SOMME DES INDICES DE NIVEAU = 0.59206 DESCRIPTION DES NOEUDS DE LA HIERACHIE (INDICES EN POURCENTAGE DE LA SOMME DES INDICES : 0.59206) +-----------------+---------------+------------------+-------------------+ | NOEUD | SUCCESSEURS | | COMPOSITION | | NUMERO INDICE | AINE BENJ | EFFECT. POIDS | PREMIER DERNIER | +-----------------+---------------+------------------+-------------------+ | 15 0.13 | 4 3 | 2 200.00 | 3 4 | | 16 0.25 | 6 5 | 2 200.00 | 5 6 | | 17 0.33 | 16 15 | 4 400.00 | 3 6 | | 18 0.41 | 14 13 | 2 200.00 | 13 14 | | 19 0.55 | 17 2 | 5 500.00 | 2 6 | | 20 0.55 | 8 7 | 2 200.00 | 7 8 | | 21 0.61 | 10 9 | 2 200.00 | 9 10 | | 22 0.92 | 18 12 | 3 300.00 | 12 14 | | 23 3.03 | 22 11 | 4 400.00 | 11 14 | | 24 4.67 | 20 19 | 7 700.00 | 2 8 | | 25 9.40 | 23 21 | 6 600.00 | 9 14 | | 26 22.32 | 24 1 | 8 800.00 | 1 8 | | 27 56.82 | 25 26 | 14 1400.00 | 1 14 | +-----------------+---------------+------------------+-------------------+

Plan 1-2

Plan 1-3

6

Classification hiérarchique directe

LECTURES

TELE

BOUM

VETEMENT

TARD

MAQUILLER

PILULE

MINUIT

FUMER

ALCOOL

VACANCES

AMI

SORTIR

NUIT

7