Introduction lanalyse factorielle en sciences politiques JeanHerman Guay
- Slides: 35
+ Introduction à l’analyse factorielle en sciences politiques Jean-Herman Guay Plan de la séance: • La logique de l’analyse factorielle • Analyse en composantes principales/ Analyse des correspondances multiples
+ Où en sommes nous dans le processus de recherche?
+ Analyses multivariées Descriptives (exploratoires) Méthodes factorielles Analyse en composantes principales Analyse des correspondances simples Autres méthodes Analyse des correspondances multiples Explicatives (confirmatoire) Analyse de régression Autres méthodes
+ Variables quantitatives diverses pour une série d’observations Exemples du code morse et du bilan routier Analyse en composantes principales PCA(data frame) Variables qualitatives diverses pour une série d’observations Exemple des pays du G 20 Et votes à la Chambre des communes du Canada Analyse des correspondances multiples ACM(data frame) Tableau de contingence simple Exemple de l’élection présidentielle française de 2007 Analyse des correspondances simples CA(data frame) Tableaux de contingence juxtaposés Exemple de la réaction aux honneurs pour Morgantaler Analyse des correspondances simples CA(data frame)
+ Principes et pratiques de l’analyse factorielle?
+ La notion de facteur
+ 45% 25%
+ 3 exemples pour comprendre l’Analyse en composantes principales (ACP/PCA) et l’Analyse des correspondances multiples (ACM/MCA).
+ Premier exemple: le code morse
EXEMPLE 1 +
EXEMPLE 1 +
EXEMPLE 1 +
+ Deuxième exemple: La mortalité routière
EXEMPLE 2 +
EXEMPLE 2 +
EXEMPLE 2 +
EXEMPLE 2 +
+ De l’exploratoire au confirmatoire MORTALITE = Corruption PCTConduct Attache PCT 15 à 24 ans
+ De l’exploratoire au confirmatoire 0 à 6, 75 0 à 14 14, 1 à 20 6, 76 à 10 0 à 89 90 à 100
+ Troisième exemple: Le vote à Ottawa
EXEMPLE 3 + 40 e législature, 3 e session
EXEMPLE 3 +
Ordre selon la 1ère dimension + Dim. 1 Dim. 2 Dim. 3 Dim. 4 Dim. 5 c 444. 2_N 0. 46 0. 37 0. 19 0. 31 0. 00 c 2. r_Y 0. 48 0. 22 0. 51 0. 22 0. 06 c 384. 3_Y 0. 53 1. 07 0. 34 0. 43 0. 13 c 310 r_Y 0. 60 0. 63 0. 05 0. 01 c 2. 3_Y 0. 64 0. 07 0. 13 0. 04 0. 27 c 2. 2_Y 0. 80 0. 13 0. 06 0. 04 0. 01 c 2. r_N 0. 88 2. 25 0. 00 0. 12 c 444. 2_Y 0. 89 2. 27 0. 21 0. 00 0. 23 c 2. 2_N 0. 90 1. 94 0. 33 0. 05 0. 03 c 2. 3_N 0. 92 2. 35 0. 16 0. 07 0. 11 c 310 r_N 0. 95 0. 66 0. 52 0. 54 0. 01 c 501. 2_Y 0. 96 0. 06 0. 17 0. 06 0. 11 c 9. r_N 1. 02 0. 17 0. 15 0. 00 c 7. 2_N 1. 15 1. 17 0. 59 0. 02 1. 33 c 7. r_N 1. 15 1. 17 0. 59 0. 02 1. 33 c 7. 3_N 1. 15 1. 17 0. 59 0. 02 1. 33 c 9. 2_N 1. 17 0. 24 0. 01 0. 02 c 6. 3_N 1. 18 1. 09 0. 55 0. 04 1. 38 c 6. r_N 1. 18 1. 09 0. 55 0. 04 1. 38 c 6. 2_N 1. 18 1. 09 0. 55 0. 04 1. 38 c 9. 3_N 1. 26 0. 23 0. 04 0. 02 0. 01 c 44. 2_N 1. 31 0. 72 0. 00 0. 83 c 44. r_N 1. 31 0. 72 0. 00 0. 83 c 44. 3_N 1. 31 0. 72 0. 00 0. 83 c 45. 2_N 1. 31 0. 72 0. 00 0. 83 c 45. r_N 1. 31 0. 72 0. 00 0. 83 c 45. 3_N 1. 31 0. 72 0. 00 0. 83 c 302. 3_Y 1. 32 0. 01 0. 08 0. 03 0. 00 c 232. 3_Y 1. 32 0. 10 0. 06 0. 26 0. 01 c 395. r_Y 1. 33 0. 07 0. 31 0. 14 0. 04 c 429. 2_Y 1. 34 0. 01 0. 08 0. 03 0. 01 c 501. 2_N 1. 34 0. 03 0. 00 c 474. 2_Y 1. 35 0. 00 0. 07 0. 05 0. 00 c 241. r_Y 1. 37 0. 16 0. 00 0. 08 c 343. 2_Y 1. 39 0. 02 0. 09 0. 03 0. 01 c 280. r_Y 1. 39 0. 07 0. 05 0. 03 0. 01 c 469. 2_Y 1. 40 0. 08 0. 03 0. 01 c 201. r_Y 1. 41 0. 00 0. 30 0. 15 0. 00 c 471. 2_Y 1. 42 0. 00 0. 34 0. 15 0. 00 c 311. 3_Y 1. 44 0. 00 0. 33 0. 16 0. 00 c 288. 3_Y 1. 44 0. 00 0. 36 0. 17 0. 00 c 311. r_Y 1. 47 0. 00 0. 04 0. 03 0. 02 c 7. 2_Y 1. 49 0. 00 0. 10 0. 06 0. 02 c 7. r_Y 1. 49 0. 00 0. 10 0. 06 0. 02 c 7. 3_Y 1. 49 0. 00 0. 10 0. 06 0. 02 c 429. 2_N 1. 56 0. 02 0. 00 0. 01 c 474. 2_N 1. 59 0. 02 0. 00 0. 03 c 302. 3_N 1. 60 0. 03 0. 01 0. 00 c 201. r_N 1. 60 0. 04 0. 12 0. 03 0. 00 c 9. 3_Y 1. 61 0. 00 0. 02 0. 00 c 232. 3_N 1. 61 0. 00 0. 05 0. 06 c 343. 2_N 1. 61 0. 02 0. 01 0. 00 0. 01 c 9. r_Y 1. 61 0. 02 0. 00 c 311. r_N 1. 61 0. 02 0. 00 0. 03 c 311. 3_N 1. 62 0. 03 0. 10 0. 03 0. 00 c 288. 3_N 1. 62 0. 03 0. 10 0. 03 0. 00 c 471. 2_N 1. 62 0. 03 0. 10 0. 03 0. 00 c 395. r_N 1. 62 0. 05 0. 11 0. 04 0. 01 c 6. 2_Y 1. 64 0. 00 0. 11 0. 04 0. 01 c 6. r_Y 1. 64 0. 00 0. 11 0. 04 0. 01 c 6. 3_Y 1. 64 0. 00 0. 11 0. 04 0. 01 c 241. r_N 1. 64 0. 00 0. 10 0. 04 0. 00 c 280. r_N 1. 64 0. 03 0. 01 c 469. 2_N 1. 64 0. 03 0. 01 c 9. 2_Y 1. 66 0. 01 0. 00 0. 01 c 44. 2_Y 1. 67 0. 04 0. 00 0. 01 c 44. r_Y 1. 67 0. 04 0. 00 0. 01 c 44. 3_Y 1. 67 0. 04 0. 00 0. 01 c 45. 2_Y 1. 67 0. 04 0. 00 0. 01 c 45. r_Y 1. 67 0. 04 0. 00 0. 01 c 45. 3_Y 1. 67 0. 04 0. 00 0. 01 Dim. 2 Dim. 3 Dim. 4 Dim. 5 c 2. r_P 0. 00 3. 43 2. 07 2. 04 c 309. r_P 0. 00 3. 43 2. 07 2. 04 c 395. r_P 0. 00 3. 43 2. 07 2. 04 c 475. 3_P 0. 00 3. 43 2. 07 2. 04 c 241. r_P 0. 00 0. 80 7. 06 0. 18 c 470. 2_N 0. 04 0. 00 0. 01 0. 02 0. 00 c 474. 2_Y 1. 35 0. 00 0. 07 0. 05 0. 00 c 201. r_Y 1. 41 0. 00 0. 30 0. 15 0. 00 c 471. 2_Y 1. 42 0. 00 0. 34 0. 15 0. 00 c 311. 3_Y 1. 44 0. 00 0. 33 0. 16 0. 00 c 288. 3_Y 1. 44 0. 00 0. 36 0. 17 0. 00 c 311. r_Y 1. 47 0. 00 0. 04 0. 03 0. 02 c 7. 2_Y 1. 49 0. 00 0. 10 0. 06 0. 02 c 7. r_Y 1. 49 0. 00 0. 10 0. 06 0. 02 c 7. 3_Y 1. 49 0. 00 0. 10 0. 06 0. 02 c 6. 2_Y 1. 64 0. 00 0. 11 0. 04 0. 01 c 6. r_Y 1. 64 0. 00 0. 11 0. 04 0. 01 c 6. 3_Y 1. 64 0. 00 0. 11 0. 04 0. 01 c 241. r_N 1. 64 0. 00 0. 10 0. 04 0. 00 c 474. 2_P 0. 00 0. 01 0. 55 0. 40 1. 10 c 311. r_P 0. 00 0. 01 0. 55 0. 40 1. 10 c 302. 3_Y 1. 32 0. 01 0. 08 0. 03 0. 00 c 429. 2_Y 1. 34 0. 01 0. 08 0. 03 0. 01 c 9. 3_Y 1. 61 0. 00 0. 02 0. 00 c 232. 3_N 1. 61 0. 00 0. 05 0. 06 c 9. 2_Y 1. 66 0. 01 0. 00 0. 01 c 475. 2_Y 0. 00 0. 02 0. 08 0. 04 0. 03 c 470. 2_Y 0. 00 0. 02 0. 04 0. 01 c 343. 2_Y 1. 39 0. 02 0. 09 0. 03 0. 01 c 429. 2_N 1. 56 0. 02 0. 00 0. 01 c 474. 2_N 1. 59 0. 02 0. 00 0. 03 c 343. 2_N 1. 61 0. 02 0. 01 0. 00 0. 01 c 9. r_Y 1. 61 0. 02 0. 00 c 311. r_N 1. 61 0. 02 0. 00 0. 03 c 343. 2_P 0. 00 0. 03 0. 56 0. 34 1. 32 c 302. 3_N 1. 60 0. 03 0. 01 0. 00 c 311. 3_N 1. 62 0. 03 0. 10 0. 03 0. 00 c 288. 3_N 1. 62 0. 03 0. 10 0. 03 0. 00 c 471. 2_N 1. 62 0. 03 0. 10 0. 03 0. 00 c 2. 3_P 0. 00 0. 04 0. 56 0. 47 0. 56 c 501. 2_N 1. 34 0. 03 0. 00 c 201. r_N 1. 60 0. 04 0. 12 0. 03 0. 00 c 280. r_N 1. 64 0. 03 0. 01 c 469. 2_N 1. 64 0. 03 0. 01 c 44. 2_Y 1. 67 0. 04 0. 00 0. 01 c 44. r_Y 1. 67 0. 04 0. 00 0. 01 c 44. 3_Y 1. 67 0. 04 0. 00 0. 01 c 45. 2_Y 1. 67 0. 04 0. 00 0. 01 c 45. r_Y 1. 67 0. 04 0. 00 0. 01 c 45. 3_Y 1. 67 0. 04 0. 00 0. 01 c 395. r_N 1. 62 0. 05 0. 11 0. 04 0. 01 c 501. 2_Y 0. 96 0. 06 0. 17 0. 06 0. 11 c 6. 3_P 0. 00 0. 07 4. 32 9. 80 0. 63 c 6. r_P 0. 00 0. 07 4. 32 9. 80 0. 63 c 7. 3_P 0. 00 0. 07 4. 32 9. 80 0. 63 c 7. 2_P 0. 00 0. 07 4. 32 9. 80 0. 63 c 6. 2_P 0. 00 0. 07 4. 32 9. 80 0. 63 c 9. 2_P 0. 00 0. 07 0. 10 0. 00 0. 39 c 2. 2_P 0. 00 0. 07 0. 10 0. 00 0. 39 c 470. 2_P 0. 00 0. 07 0. 11 0. 00 0. 44 c 384. 3_P 0. 00 0. 07 0. 11 0. 00 0. 44 c 429. 2_P 0. 00 0. 07 0. 11 0. 00 0. 44 c 2. 3_Y 0. 64 0. 07 0. 13 0. 04 0. 27 c 395. r_Y 1. 33 0. 07 0. 31 0. 14 0. 04 c 280. r_Y 1. 39 0. 07 0. 05 0. 03 0. 01 c 469. 2_Y 1. 40 0. 08 0. 03 0. 01 c 9. 3_P 0. 00 0. 09 0. 14 0. 03 0. 00 > Ordre selon la 2 e dimension EXEMPLE 3 > rr<-round(rr[order(rr$Dim. 1), ], 2) > rr Dim. 1 Dim. 2 Dim. 3 Dim. 4 Dim. 5 c 2. r_P 0. 00 3. 43 2. 07 2. 04 c 309. r_P 0. 00 3. 43 2. 07 2. 04 c 395. r_P 0. 00 3. 43 2. 07 2. 04 c 475. 3_P 0. 00 3. 43 2. 07 2. 04 c 241. r_P 0. 00 0. 80 7. 06 0. 18 c 474. 2_P 0. 00 0. 01 0. 55 0. 40 1. 10 c 311. r_P 0. 00 0. 01 0. 55 0. 40 1. 10 c 475. 2_Y 0. 00 0. 02 0. 08 0. 04 0. 03 c 470. 2_Y 0. 00 0. 02 0. 04 0. 01 c 343. 2_P 0. 00 0. 03 0. 56 0. 34 1. 32 c 302. 3_P 0. 00 0. 03 0. 56 0. 34 1. 32 c 2. 3_P 0. 00 0. 04 0. 56 0. 47 0. 56 c 6. 3_P 0. 00 0. 07 4. 32 9. 80 0. 63 c 6. r_P 0. 00 0. 07 4. 32 9. 80 0. 63 c 7. 3_P 0. 00 0. 07 4. 32 9. 80 0. 63 c 7. 2_P 0. 00 0. 07 4. 32 9. 80 0. 63 c 6. 2_P 0. 00 0. 07 4. 32 9. 80 0. 63 c 9. 2_P 0. 00 0. 07 0. 10 0. 00 0. 39 c 2. 2_P 0. 00 0. 07 0. 10 0. 00 0. 39 c 470. 2_P 0. 00 0. 07 0. 11 0. 00 0. 44 c 384. 3_P 0. 00 0. 07 0. 11 0. 00 0. 44 c 429. 2_P 0. 00 0. 07 0. 11 0. 00 0. 44 c 9. 3_P 0. 00 0. 09 0. 14 0. 03 0. 00 c 309. r_Y 0. 00 0. 09 0. 37 0. 15 0. 00 c 475. 3_Y 0. 00 0. 12 0. 41 0. 16 0. 01 c 471. 2_A 0. 00 0. 13 5. 28 1. 97 0. 00 c 9. r_P 0. 00 0. 19 0. 08 0. 53 0. 00 c 310 r_A 0. 00 0. 22 5. 65 2. 20 0. 01 c 311. 3_A 0. 00 0. 25 5. 38 2. 13 0. 04 c 475. 2_A 0. 00 0. 29 1. 14 0. 52 0. 39 c 201. r_A 0. 00 0. 37 5. 01 1. 99 0. 03 c 288. 3_A 0. 00 0. 37 5. 67 2. 24 0. 01 c 311. r_A 0. 00 0. 38 0. 57 0. 21 0. 10 c 501. 2_A 0. 00 0. 49 0. 93 0. 14 0. 37 c 474. 2_A 0. 01 0. 60 0. 17 0. 00 c 302. 3_A 0. 02 0. 71 0. 31 0. 02 0. 51 c 343. 2_A 0. 02 0. 71 0. 31 0. 02 0. 51 c 469. 2_A 0. 02 1. 31 0. 66 0. 24 0. 17 c 384. 3_A 0. 03 0. 81 0. 44 0. 20 0. 05 c 280. r_A 0. 03 1. 20 0. 92 0. 34 0. 22 c 470. 2_N 0. 04 0. 00 0. 01 0. 02 0. 00 c 429. 2_A 0. 05 0. 75 0. 40 0. 18 0. 11 c 444. 2_A 0. 06 0. 70 0. 15 2. 26 0. 55 c 232. 3_A 0. 06 0. 78 0. 25 2. 47 0. 50 c 309. r_A 0. 06 1. 37 0. 71 0. 10 1. 89 c 395. r_A 0. 06 1. 67 0. 80 0. 13 1. 79 c 475. 3_A 0. 06 1. 67 0. 80 0. 13 1. 79 c 470. 2_A 0. 10 0. 37 0. 38 0. 12 0. 02 c 2. r_A 0. 10 1. 79 0. 46 0. 07 1. 27 c 241. r_A 0. 11 2. 06 0. 28 0. 03 0. 65 c 44. 2_A 0. 14 4. 28 0. 01 0. 04 3. 87 c 44. r_A 0. 14 4. 28 0. 01 0. 04 3. 87 c 44. 3_A 0. 14 4. 28 0. 01 0. 04 3. 87 c 45. 2_A 0. 14 4. 28 0. 01 0. 04 3. 87 c 45. r_A 0. 14 4. 28 0. 01 0. 04 3. 87 c 45. 3_A 0. 14 4. 28 0. 01 0. 04 3. 87 c 9. 3_A 0. 15 1. 52 0. 01 0. 19 0. 03 c 2. 3_A 0. 17 2. 69 0. 00 0. 02 0. 92 c 384. 3_N 0. 18 0. 10 0. 27 0. 21 0. 00 c 6. r_A 0. 29 3. 42 1. 26 0. 07 5. 06 c 6. 3_A 0. 29 3. 42 1. 26 0. 07 5. 06 c 7. r_A 0. 29 3. 42 1. 26 0. 07 5. 06 c 7. 3_A 0. 29 3. 42 1. 26 0. 07 5. 06 c 7. 2_A 0. 29 3. 42 1. 26 0. 07 5. 06 c 6. 2_A 0. 29 3. 42 1. 26 0. 07 5. 06 c 9. 2_A 0. 32 1. 35 0. 09 0. 02 0. 06 c 2. 2_A 0. 34 1. 53 0. 13 0. 01 0. 03 c 9. r_A 0. 41 1. 02 0. 08 0. 02 0. 01 c 444. 2_N 0. 46 0. 37 0. 19 0. 31 0. 00 Dim. 1 Dim. 2 Dim. 3 Dim. 4 Dim. 5 c 309. r_Y 0. 00 0. 09 0. 37 0. 15 0. 00 c 384. 3_N 0. 18 0. 10 0. 27 0. 21 0. 00 c 232. 3_Y 1. 32 0. 10 0. 06 0. 26 0. 01 c 475. 3_Y 0. 00 0. 12 0. 41 0. 16 0. 01 c 471. 2_A 0. 00 0. 13 5. 28 1. 97 0. 00 c 2. 2_Y 0. 80 0. 13 0. 06 0. 04 0. 01 c 241. r_Y 1. 37 0. 16 0. 00 0. 08 c 9. r_N 1. 02 0. 17 0. 15 0. 00 c 9. r_P 0. 00 0. 19 0. 08 0. 53 0. 00 c 310 r_A 0. 00 0. 22 5. 65 2. 20 0. 01 c 2. r_Y 0. 48 0. 22 0. 51 0. 22 0. 06 c 9. 3_N 1. 26 0. 23 0. 04 0. 02 0. 01 c 9. 2_N 1. 17 0. 24 0. 01 0. 02 c 311. 3_A 0. 00 0. 25 5. 38 2. 13 0. 04 c 475. 2_A 0. 00 0. 29 1. 14 0. 52 0. 39 c 201. r_A 0. 00 0. 37 5. 01 1. 99 0. 03 c 288. 3_A 0. 00 0. 37 5. 67 2. 24 0. 01 c 470. 2_A 0. 10 0. 37 0. 38 0. 12 0. 02 c 444. 2_N 0. 46 0. 37 0. 19 0. 31 0. 00 c 311. r_A 0. 00 0. 38 0. 57 0. 21 0. 10 c 501. 2_A 0. 00 0. 49 0. 93 0. 14 0. 37 c 474. 2_A 0. 01 0. 60 0. 17 0. 00 c 310 r_Y 0. 60 0. 63 0. 05 0. 01 c 310 r_N 0. 95 0. 66 0. 52 0. 54 0. 01 c 444. 2_A 0. 06 0. 70 0. 15 2. 26 0. 55 c 302. 3_A 0. 02 0. 71 0. 31 0. 02 0. 51 c 343. 2_A 0. 02 0. 71 0. 31 0. 02 0. 51 c 44. 2_N 1. 31 0. 72 0. 00 0. 83 c 44. r_N 1. 31 0. 72 0. 00 0. 83 c 44. 3_N 1. 31 0. 72 0. 00 0. 83 c 45. 2_N 1. 31 0. 72 0. 00 0. 83 c 45. r_N 1. 31 0. 72 0. 00 0. 83 c 45. 3_N 1. 31 0. 72 0. 00 0. 83 c 429. 2_A 0. 05 0. 75 0. 40 0. 18 0. 11 c 232. 3_A 0. 06 0. 78 0. 25 2. 47 0. 50 c 384. 3_A 0. 03 0. 81 0. 44 0. 20 0. 05 c 9. r_A 0. 41 1. 02 0. 08 0. 02 0. 01 c 384. 3_Y 0. 53 1. 07 0. 34 0. 43 0. 13 c 6. 3_N 1. 18 1. 09 0. 55 0. 04 1. 38 c 6. r_N 1. 18 1. 09 0. 55 0. 04 1. 38 c 6. 2_N 1. 18 1. 09 0. 55 0. 04 1. 38 c 7. 2_N 1. 15 1. 17 0. 59 0. 02 1. 33 c 7. r_N 1. 15 1. 17 0. 59 0. 02 1. 33 c 7. 3_N 1. 15 1. 17 0. 59 0. 02 1. 33 c 280. r_A 0. 03 1. 20 0. 92 0. 34 0. 22 c 469. 2_A 0. 02 1. 31 0. 66 0. 24 0. 17 c 9. 2_A 0. 32 1. 35 0. 09 0. 02 0. 06 c 309. r_A 0. 06 1. 37 0. 71 0. 10 1. 89 c 9. 3_A 0. 15 1. 52 0. 01 0. 19 0. 03 c 2. 2_A 0. 34 1. 53 0. 13 0. 01 0. 03 c 395. r_A 0. 06 1. 67 0. 80 0. 13 1. 79 c 475. 3_A 0. 06 1. 67 0. 80 0. 13 1. 79 c 2. r_A 0. 10 1. 79 0. 46 0. 07 1. 27 c 2. 2_N 0. 90 1. 94 0. 33 0. 05 0. 03 c 241. r_A 0. 11 2. 06 0. 28 0. 03 0. 65 c 2. r_N 0. 88 2. 25 0. 00 0. 12 c 444. 2_Y 0. 89 2. 27 0. 21 0. 00 0. 23 c 2. 3_N 0. 92 2. 35 0. 16 0. 07 0. 11 c 2. 3_A 0. 17 2. 69 0. 00 0. 02 0. 92 c 6. r_A 0. 29 3. 42 1. 26 0. 07 5. 06 c 6. 3_A 0. 29 3. 42 1. 26 0. 07 5. 06 c 7. r_A 0. 29 3. 42 1. 26 0. 07 5. 06 c 7. 3_A 0. 29 3. 42 1. 26 0. 07 5. 06 c 7. 2_A 0. 29 3. 42 1. 26 0. 07 5. 06 c 6. 2_A 0. 29 3. 42 1. 26 0. 07 5. 06 c 44. 2_A 0. 14 4. 28 0. 01 0. 04 3. 87 c 44. r_A 0. 14 4. 28 0. 01 0. 04 3. 87 c 44. 3_A 0. 14 4. 28 0. 01 0. 04 3. 87 c 45. 2_A 0. 14 4. 28 0. 01 0. 04 3. 87 c 45. r_A 0. 14 4. 28 0. 01 0. 04 3. 87 c 45. 3_A 0. 14 4. 28 0. 01 0. 04 3. 87 >
EXEMPLE 3 +
EXEMPLE 3 +
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