Embranchements

Théo Boulakia

13 novembre 2024

Packages

library(tidyverse)
library(cluster)
library(proxy)
library(tictoc)
library(dimensio)

Lectures

Les sommets du Palais

Boelaert Julien et Ollion Étienne, « Les sommets du Palais : Analyser l’espace parlementaire avec des cartes auto-organisatrices », Revue française de science politique, 9 septembre 2020, vol. 70, nᵒ 3, p. 373‑398.

Script et données

Accessibles sur le site de l’Association Française de Sciences Politiques sous la forme d’un fichier zippé.

Trajectoires d’activité des immigrés

Blavier Pierre et Perdoncin Anton, « Trajectoires d’activité des immigrés : une approche sociohistorique, 1968-2008 », Population, 25 mai 2020, vol. 75, nᵒ 1, p. 39‑70.

Données

Les auteurs utilisent les données de l’enquête TeO2, dont on pourra consulter le site internet. L’enquête TeO2 a été menée en 2019 et 2020.

Distance de Gower

Caractéristiques

• Introduite cet article : Gower, J. C. (1971) “A general coefficient of similarity and some of its properties”, Biometrics 27, 857–874.
• Implémentée en R dans la fonction daisy du package {cluster}.
• Adaptée aux dataframes contenant des données mixtes
• Une métrique de distance pour chaque type de variable.
• La distance totale entre deux individus est la moyenne de ces distances.

Rappel : Types de variables en R

• numeric nombres réels (c.a.d : décimaux) (ex : 3.14, 10)
• integer : nombres entiers (ex: 5L)
• factor : valeurs possibles limitées. Elles peuvent être ordonnées (ex: “Un peu”, “Beaucoup”, “Passionnément”)
• character : chaînes de charactères (ex: “Paris”)
• date (ne nous concerne pas ici)

Astuce

Quand vous importez un fichier de données dans R, des fonctions comme read_csv vont chercher à deviner le type de chaque variable. Vous pouvez aussi le spécifier manuellement.

daisy

Note

Assurez-vous d’avoir bien installé et chargé le package {cluster}.

• daisy prend comme argument une matrice numérique ou un dataframe.
• Si au moins une colonne du dataframe n’est pas numeric, alors la métrique gower est automatiquement choisie.
• Vous pouvez aussi la spécifier explicitement avec l’argument metric.

Vecteurs de types différents

Pour montrer comment la distance de Gower est calculée pour chaque type de variable, créons des vecteurs très simples.

v_integer = c(1, 2, 5, 3, 2)

v_symmetric = c(TRUE, FALSE, TRUE, FALSE, TRUE)

v_factor = factor(c("droite", "gauche", "centre", "centre", "gauche"))

v_ordratio = factor(
  c("toujours", "parfois", "rarement", "jamais", "souvent"),
  levels = c("jamais", "rarement", "parfois", "souvent", "toujours"),
  ordered = T)

Integer

data.frame(v_integer)

  v_integer
1         1
2         2
3         5
4         3
5         2

data.frame(v_integer) |> daisy(metric = "gower",
                                        type = list(integer = 1))

Dissimilarities :
     1    2    3    4
2 0.25               
3 1.00 0.75          
4 0.50 0.25 0.50     
5 0.25 0.00 0.75 0.25

Metric :  mixed ;  Types = I 
Number of objects : 5

Symmetric (binaire)

data.frame(v_symmetric)

  v_symmetric
1        TRUE
2       FALSE
3        TRUE
4       FALSE
5        TRUE

data.frame(v_symmetric) |> daisy(metric = "gower",
                                          type = list(symm = 1))

Dissimilarities :
  1 2 3 4
2 1      
3 0 1    
4 1 0 1  
5 0 1 0 1

Metric :  mixed ;  Types = S 
Number of objects : 5

Factor

data.frame(v_factor)

  v_factor
1   droite
2   gauche
3   centre
4   centre
5   gauche

data.frame(v_factor) |> daisy(metric = "gower",
                                       type = list(factor = 1))

Dissimilarities :
  1 2 3 4
2 1      
3 1 1    
4 1 1 0  
5 1 0 1 1

Metric :  mixed ;  Types = N 
Number of objects : 5

Ordratio

data.frame(v_ordratio) 

  v_ordratio
1   toujours
2    parfois
3   rarement
4     jamais
5    souvent

data.frame(v_ordratio) |> daisy(metric = "gower",
                                         type = list(ordratio = 1))

Dissimilarities :
     1    2    3    4
2 0.50               
3 0.75 0.25          
4 1.00 0.50 0.25     
5 0.25 0.25 0.50 0.75

Metric :  mixed ;  Types = T 
Number of objects : 5

4 variables

d = data.frame(v_integer,
               v_symmetric,
               v_factor,
               v_ordratio)
d

  v_integer v_symmetric v_factor v_ordratio
1         1        TRUE   droite   toujours
2         2       FALSE   gauche    parfois
3         5        TRUE   centre   rarement
4         3       FALSE   centre     jamais
5         2        TRUE   gauche    souvent

daisy(d, 
      type = list(integer = 1,
                  symm = 2,
                  factor = 3,
                  ordratio = 4),
      metric = "gower")

Dissimilarities :
       1      2      3      4
2 0.6875                     
3 0.6875 0.7500              
4 0.8750 0.4375 0.4375       
5 0.3750 0.3125 0.5625 0.7500

Metric :  mixed ;  Types = I, S, N, T 
Number of objects : 5

Mini-exercice

Calculez manuellement la distance entre les individus 1 et 2. Si ce que vous avez calculé correspond à la valeur renvoyée par daisy, alors vous avez tout compris.

Principal Components Analysis

Principe

• Réduire la dimension d’un jeu de données contenant n (= trop de) variables numériques.
• En remplaçant les n variables par un nombre réduit (généralement 2 ou 3, mais cela peut être plus) de “super-variables”.
• Celles-ci sont des combinaisons linéaires des variables de départ.
• On les appelle “composantes principales”/principal components.
• La première composante principale correspond à la direction qui maximise la variance du jeu de données.
• La deuxième est orthogonale (= non corrélée) à la première, la troisième à la deuxième, etc.
• Chaque individu reçoit de nouvelles coordonnées, sur les composantes principales.

Implémentation(s) en R

• Base R : prcomp (à préférer à princomp)
• FactoMineR::PCA()
• ade4::dudi.pca()
• Fonction pca du package dimensio

Retour au Palais

sommets = read.csv("data/donnees-SOMmets.csv")
glimpse(sommets)

Rows: 569
Columns: 26
$ sexe                     <chr> "M", "M", "M", "F", "F", "F", "M", "M", "M", …
$ nb.mandats               <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, …
$ duree.pol                <int> 0, 0, 0, 6, 0, 0, 18, 33, 9, 22, 33, 0, 0, 16…
$ cabcollab                <lgl> FALSE, FALSE, FALSE, FALSE, FALSE, FALSE, FAL…
$ carriere                 <chr> "Exp. Pol.", "Exp. Pol.", "Novices", "2de car…
$ ProfSigni                <chr> NA, "profinter", "artisancommercantpdg", "pro…
$ groupe.sigle             <chr> "LREM", "LFI", "LREM", "LC", "LREM", "LREM", …
$ commissions              <chr> "DvptDurable", "Aff. Sociales", "Aff. Sociale…
$ QAG                      <int> 2, 4, 1, 5, 3, 0, 6, 6, 1, 1, 1, 1, 2, 1, 1, …
$ Info.en.continu          <int> 0, 23, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,…
$ RadioTV                  <int> 0, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,…
$ TV.Specialisee           <int> 0, 6, 2, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 0, …
$ commission_interventions <int> 20, 178, 19, 82, 22, 3, 83, 74, 66, 48, 55, 2…
$ commission_presences     <int> 72, 67, 47, 73, 68, 45, 48, 78, 63, 61, 43, 7…
$ amendements_proposes     <int> 8, 209, 49, 96, 0, 6, 46, 0, 37, 153, 25, 11,…
$ rapports                 <int> 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, …
$ qecr.nbthemes            <int> 12, 14, 8, 11, 13, 8, 11, 16, 6, 4, 5, 3, 3, …
$ qecr.nbquest             <int> 21, 41, 13, 25, 21, 15, 24, 37, 10, 10, 7, 5,…
$ rooms.sum                <int> 3, 0, 40, 8, 3, 2, 6, 6, 23, 18, 9, 15, 1, 0,…
$ rooms.nbrooms            <int> 3, 0, 10, 5, 3, 2, 5, 3, 14, 10, 7, 10, 1, 0,…
$ twitt_flwrs              <dbl> 6.848005, 10.680539, 8.433377, 8.250620, 8.18…
$ pressnat.nb              <int> 2, 138, 12, 11, 9, 5, 27, 6, 3, 4, 30, 0, 9, …
$ pressloc.nb              <int> 6, 114, 26, 52, 8, 2, 57, 66, 180, 11, 68, 7,…
$ FonctionsAN_r            <int> 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, …
$ hemicycle_interventions  <int> 15, 280, 43, 140, 13, 17, 140, 72, 37, 101, 6…
$ scrut.nb                 <int> 223, 286, 282, 240, 281, 253, 221, 255, 130, …

Tableau des données

sexe	nb.mandats	duree.pol	cabcollab	carriere	ProfSigni	groupe.sigle	commissions	QAG	Info.en.continu	RadioTV	TV.Specialisee	commission_interventions	commission_presences	amendements_proposes	rapports	qecr.nbthemes	qecr.nbquest	rooms.sum	rooms.nbrooms	twitt_flwrs	pressnat.nb	pressloc.nb	FonctionsAN_r	hemicycle_interventions	scrut.nb
M	0	0	FALSE	Exp. Pol.		LREM	DvptDurable	2	0	0	0	20	72	8	1	12	21	3	3	6.85	2	6	0	15	223
M	0	0	FALSE	Exp. Pol.	profinter	LFI	Aff. Sociales	4	23	25	6	178	67	209	0	14	41	0	0	10.7	138	114	0	280	286
M	0	0	FALSE	Novices	artisancommercantpdg	LREM	Aff. Sociales	1	2	0	2	19	47	49	0	8	13	40	10	8.43	12	26	0	43	282
F	0	6	FALSE	2de carrière	proflib	LC	Aff. Sociales	5	0	0	0	82	73	96	1	11	25	8	5	8.25	11	52	0	140	240
F	0	0	FALSE	Novices	profinter	LREM	Aff. Cult. & Educ.	3	0	0	0	22	68	0	0	13	21	3	3	8.18	9	8	0	13	281
F	0	0	FALSE	Novices	artisancommercantpdg	LREM	Finances	0	0	0	0	3	45	6	2	8	15	2	2	7.97	5	2	0	17	253
M	0	18	FALSE	Ancr. local	employe	GDR	affaires économiques	6	0	0	1	83	48	46	1	11	24	6	5	7.2	27	57	0	140	221
M	0	33	FALSE	Ancr. local	cadsupprive	NG	Aff. Etrangeres	6	0	0	0	74	78	0	2	16	37	6	3	6.75	6	66	0	72	255
M	0	9	FALSE	2de carrière	cadsuppub	LREM	DvptDurable	1	0	0	0	66	63	37	0	6	10	23	14	7.97	3	180	0	37	130
M	0	22	FALSE	Ancr. local	cadsupprive	LR	Aff. Sociales	1	0	0	0	48	61	153	0	4	10	18	10	6.81	4	11	0	101	559
M	2	33	FALSE	Dép. sortant	proflib	LREM	Lois	1	0	0	3	55	43	25	2	5	7	9	7	8.04	30	68	0	67	86
F	0	0	FALSE	Novices	profinter	LREM	Aff. Sociales	1	0	0	0	25	75	11	1	3	5	15	10	7.53	0	7	0	23	458
F	0	0	FALSE	Novices	proflib	LREM	Lois	2	1	0	0	103	68	27	2	3	3	1	1	0	9	3	0	179	267
F	0	16	TRUE	Carr. au Centre	collab	LREM	Defense	1	0	0	0	18	32	86	1	15	52	0	0	7.77	7	1	0	17	258
M	0	3	FALSE	Exp. Pol.	cadsupprive	LREM	Aff. Cult. & Educ.	1	0	0	0	211	74	0	2	7	8	1	1	7.6	6	104	0	11	181
M	0	0	FALSE	Novices	cadsupprive	LREM	Finances	1	0	0	0	60	86	15	4	5	7	20	6	8.29	1	1	0	17	112
M	0	14	FALSE	Ancr. local	cadsuppub	LFI	Defense	5	29	31	8	102	56	96	0	13	32	2	2	11.1	188	229	0	520	301
F	0	0	FALSE	Novices	proflib	LREM	Lois	0	0	0	0	26	50	10	2	2	4	11	6	8.01	9	5	0	16	201
F	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Etrangeres	0	0	0	0	9	27	3	0	8	22	15	8	0	1	0	0	0	156
F	0	0	FALSE	Exp. Pol.	cadsupprive	LREM	Finances	2	26	16	2	207	113	106	3	2	2	171	23	9.69	54	30	0	247	287
M	3	33	FALSE	Dép. sortant	cadsuppub	GDR	Defense	7	6	2	6	137	78	273	2	13	58	52	4	9.15	114	94	1	496	234
M	0	33	FALSE	Ancr. local	agri	LC	affaires économiques	4	0	0	0	48	65	2	0	0	0	2	2	5.52	4	1	0	12	60
F	0	7	FALSE	Carr. au Centre	profinter	LREM	Defense	2	0	0	0	7	45	1	0	8	11	7	4	7.56	4	9	0	11	176
F	0	0	FALSE	Novices	proflib	LREM	affaires économiques	1	0	0	0	30	79	15	1	10	20	11	9	7.71	2	24	0	12	352
F	0	16	FALSE	Ancr. local	profinter	LREM	affaires économiques	1	0	0	0	21	68	1	1	5	6	5	3	6.77	0	29	0	5	96
F	0	3	FALSE	Exp. Pol.	cadsuppub	LREM	Aff. Cult. & Educ.	3	1	0	1	55	65	23	0	5	6	1	1	7.86	3	8	0	45	321
F	1	18	TRUE	Dép. sortant	cadsuppub	LREM	Aff. Cult. & Educ.	2	0	0	0	13	36	8	1	1	1	13	10	8.31	8	6	0	22	136
F	0	0	FALSE	Novices	artisancommercantpdg	LREM	Defense	1	0	0	0	21	51	20	0	6	10	9	7	7.57	2	7	0	12	135
F	0	0	FALSE	Novices	proflib	LREM	Aff. Etrangeres	1	0	0	0	25	38	2	1	6	13	21	7	8.13	3	0	0	14	215
F	0	3	TRUE	Carr. au Centre	collab	LREM	Finances	1	0	0	1	31	88	26	2	5	8	13	10	7.51	0	16	0	31	214
F	0	0	FALSE	Novices	cadsupprive	LREM	affaires économiques	1	0	0	0	42	85	20	0	4	5	8	6	8.1	3	4	0	13	220
F	0	0	FALSE	Novices	profinter	LREM	Aff. Etrangeres	2	1	0	1	55	81	33	1	9	10	9	7	8.21	2	54	0	38	279
F	1	22	FALSE	Dép. sortant	cadsuppub	LR	Aff. Cult. & Educ.	2	6	7	8	30	68	101	0	11	28	4	4	8.8	44	40	1	890	115
F	0	3	FALSE	Exp. Pol.	profinter	LREM	Aff. Sociales	1	0	0	0	116	98	7	1	6	11	5	3	8.09	3	24	0	20	251
M	0	3	FALSE	Exp. Pol.	cadsupprive	LREM	affaires économiques	1	0	0	0	92	86	12	0	4	5	29	10	8.13	2	181	0	14	219
M	3	22	FALSE	Dép. sortant	agri	LC	affaires économiques	2	0	0	1	96	67	104	0	6	16	2	2	7.09	5	7	0	58	105
M	1	13	FALSE	Dép. sortant	cadsuppub	LR	Lois	3	1	0	5	288	139	300	2	12	49	13	11	7.68	12	190	0	296	210
F	0	0	FALSE	Novices	profinter	LREM	Aff. Cult. & Educ.	2	0	0	0	71	46	61	2	3	3	21	14	8.19	3	24	0	76	212
F	0	9	FALSE	2de carrière	cadsuppub	LREM	Defense	1	0	0	0	36	82	11	1	9	17	1	1	6.85	3	1	0	14	290
F	0	18	TRUE	Carr. au Centre	collab	MODEM	DvptDurable	4	0	0	0	41	58	18	1	6	11	3	3	6.63	5	4	0	16	138
F	0	0	FALSE	Novices	cadsuppub	LREM	Aff. Sociales	2	0	0	0	35	61	3	0	6	14	0	0	7.63	2	7	0	21	224
M	0	6	FALSE	Carr. au Centre		LR	Lois	4	3	4	5	46	45	67	0	11	33	1	1	8.26	44	17	0	94	124
M	0	7	TRUE	Carr. au Centre	collab	LREM	Aff. Sociales	1	13	14	6	143	46	99	3	4	4	133	22	9.12	144	110	0	116	143
F	0	3	FALSE	Carr. au Centre	collab	LREM	Aff. Cult. & Educ.	3	29	33	12	17	56	7	0	6	7	99	20	10.6	109	65	0	71	180
F	0	0	FALSE	Novices	artisancommercantpdg	LREM	affaires économiques	3	0	0	0	71	85	75	0	12	29	6	4	7.79	2	13	0	13	116
F	1	13	TRUE	Dép. sortant	collab	LREM	DvptDurable	2	5	13	5	990	142	27	2	14	44	10	8	10.5	65	62	0	69	206
M	0	0	FALSE	Exp. Pol.	cadsuppub	LFI	Defense	5	13	8	6	211	81	160	2	18	48	9	7	9.61	37	33	0	361	310
F	0	9	FALSE	2de carrière	profinter	LC	Aff. Cult. & Educ.	5	0	0	0	40	53	39	0	13	32	6	2	0	3	8	0	58	112
F	0	0	FALSE	Novices	artisancommercantpdg	LREM	Aff. Cult. & Educ.	2	0	0	0	26	53	14	1	4	5	4	4	8.3	0	1	0	18	363
M	0	9	FALSE	2de carrière	artisancommercantpdg	LREM	Aff. Sociales	3	0	0	0	42	95	33	0	11	23	13	5	7.61	3	6	0	37	205
F	0	0	FALSE	Novices	cadsupprive	LREM	Finances	1	1	0	0	58	91	19	3	5	6	31	14	7.96	6	3	0	38	279
F	0	0	FALSE	Exp. Pol.	cadsuppub	LFI	affaires économiques	4	0	0	0	91	60	213	0	11	18	10	6	8.61	9	3	0	141	357
M	0	0	FALSE	Novices	artisancommercantpdg	LREM	Aff. Etrangeres	2	0	0	0	26	45	2	1	7	12	0	0	7.92	1	120	0	4	201
M	0	0	FALSE	Novices	artisancommercantpdg	LREM	affaires économiques	1	0	0	0	31	90	32	0	11	20	2	2	8.06	3	49	0	22	435
M	0	3	FALSE	2de carrière	cadsupprive	LREM	Finances	2	3	0	3	38	83	31	2	14	41	19	13	8.23	10	340	0	73	135
F	0	3	FALSE	Exp. Pol.	profinter	LREM	DvptDurable	2	0	0	0	68	79	10	0	4	4	4	3	8.49	5	2	0	14	238
F	0	0	FALSE	Novices	cadsupprive	LREM	DvptDurable	1	0	0	0	29	54	5	0	11	29	1	1	8.26	1	6	0	10	154
F	3	22	FALSE	Dép. sortant	profinter	LR	Aff. Etrangeres	2	0	0	0	34	45	28	2	15	51	2	2	7.44	7	3	0	24	107
M	4	16	FALSE	Dép. sortant	cadsupprive	LR	Aff. Cult. & Educ.	0	0	0	0	0	13	0	0	11	28	1	1	0	12	25	0	0	27
M	4	25	FALSE	Dép. sortant	cadsupprive	LR	Aff. Etrangeres	0	0	0	0	13	34	0	0	5	8	0	0	6.96	2	0	0	7	26
M	4	33	TRUE	Dép. sortant	collab	LR	Aff. Sociales	3	0	0	0	73	75	194	0	14	61	0	0	8.65	3	154	0	32	83
M	2	22	FALSE	Dép. sortant	proflib	LR	Aff. Etrangeres	2	0	0	0	0	22	3	0	2	2	2	2	8.3	9	8	0	4	30
M	0	0	FALSE	Novices	proflib	LREM	Aff. Etrangeres	1	0	0	0	68	98	2	1	4	6	3	2	7.62	1	65	0	21	343
M	2	32	TRUE	Dép. sortant	collab	LC	DvptDurable	2	0	0	2	162	65	270	0	5	10	15	9	8.57	17	139	0	105	101
M	0	16	FALSE	Ancr. local	cadsuppub	LREM	Aff. Cult. & Educ.	2	0	0	0	63	56	21	1	20	52	0	0	7.11	5	158	0	32	156
F	0	3	FALSE	2de carrière	cadsupprive	LREM	Aff. Etrangeres	1	0	0	0	19	55	19	0	8	12	2	2	7.4	6	18	0	18	221
M	0	5	TRUE	2de carrière	cadsuppub	NG	Aff. Sociales	4	12	15	5	266	90	350	0	11	34	21	8	0	149	316	0	284	224
M	0	0	FALSE	Exp. Pol.	proflib	MODEM	Aff. Sociales	1	0	0	0	93	85	80	0	10	28	2	2	7.63	1	9	0	89	317
F	1	5	FALSE	Dép. sortant	profinter	LREM	Aff. Sociales	1	0	0	0	315	111	14	1	0	0	5	4	8.8	83	86	0	37	290
F	0	29	TRUE	Ancr. local	collab	LR	Aff. Cult. & Educ.	2	3	1	0	63	40	107	2	15	33	13	5	7	14	16	0	158	330
F	0	0	FALSE	Novices	artisancommercantpdg	LREM	Aff. Cult. & Educ.	1	0	0	0	7	48	0	0	10	27	1	1	7.56	4	10	0	8	152
M	0	13	TRUE	Carr. au Centre	collab	NI	Aff. Sociales	1	0	0	0	3	49	73	0	13	33	4	3	8.61	34	40	0	95	221
M	0	0	FALSE	Novices	artisancommercantpdg	LREM	Aff. Sociales	1	8	4	0	5	28	5	0	1	1	0	0	8.91	52	84	0	12	191
M	0	9	FALSE	2de carrière	cadsupprive	MODEM	DvptDurable	2	0	0	0	54	76	38	0	4	5	1	1	6.06	4	91	0	27	143
M	0	0	FALSE	Exp. Pol.	artisancommercantpdg	MODEM	Aff. Etrangeres	3	8	0	0	77	75	113	1	9	14	5	5	8	18	7	0	121	223
M	0	33	FALSE	Ancr. local	profinter	MODEM	Aff. Etrangeres	2	0	0	0	14	48	0	0	8	14	0	0	7.4	2	126	0	7	82
M	0	3	FALSE	Exp. Pol.	cadsupprive	MODEM	DvptDurable	5	0	0	1	97	78	58	0	6	7	18	8	8.03	6	17	0	107	360
M	0	24	TRUE	Ancr. local	collab	LREM	Lois	2	0	0	2	31	77	3	1	5	7	8	7	7.84	6	67	0	45	561
M	0	0	FALSE	Novices	cadsuppub	LREM	Aff. Cult. & Educ.	1	1	0	3	271	95	27	2	1	1	5	4	8.35	18	8	0	100	199
M	0	9	TRUE	2de carrière	artisancommercantpdg	LREM	Aff. Etrangeres	1	0	0	0	21	45	5	1	8	12	12	5	7.49	12	10	0	16	104
F	0	9	FALSE	2de carrière	proflib	LREM	Defense	0	0	0	0	12	80	3	0	0	0	4	3	7.98	14	21	1	1247	320
F	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Sociales	2	0	0	0	55	78	56	1	13	34	7	5	7.95	2	27	0	35	228
F	0	0	FALSE	Novices	cadsupprive	LREM	Lois	2	0	0	1	34	87	12	0	4	8	3	3	8.09	4	4	0	30	444
F	0	0	FALSE	Exp. Pol.	employe	LFI	Aff. Sociales	5	3	2	3	149	42	204	2	9	27	8	6	9.43	27	38	0	294	357
F	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Sociales	2	0	1	0	32	81	24	0	13	36	1	1	7.82	5	2	0	28	227
F	0	0	FALSE	Novices	cadsuppub	LREM	Aff. Sociales	2	0	0	2	605	68	307	2	5	8	13	5	8.34	11	10	0	439	268
F	0	16	FALSE	Ancr. local	cadsuppub	LREM	Lois	1	0	0	0	49	102	12	2	2	2	5	4	6.75	2	1	0	94	434
F	0	9	FALSE	Carr. au Centre	profinter	LREM	Finances	1	0	0	0	17	85	3	2	11	14	4	4	7.3	2	17	0	16	199
F	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Cult. & Educ.	2	0	0	0	27	51	16	2	6	8	9	3	7.87	4	3	0	36	119
F	0	3	FALSE	Carr. au Centre	cadsuppub	LREM	Defense	2	3	0	0	9	33	1	0	12	28	0	0	8.11	3	0	0	7	94
F	0	0	FALSE	Novices	cadsuppub	LREM	Aff. Cult. & Educ.	2	0	0	0	47	50	11	0	10	13	16	5	7.26	3	5	0	68	357
F	1	6	FALSE	Dép. sortant	cadsuppub	NG	Lois	4	0	0	4	193	86	253	1	14	48	18	11	7.94	23	42	0	198	204
M	0	0	FALSE	Novices	artisancommercantpdg	LREM	Aff. Cult. & Educ.	1	0	0	0	30	63	28	0	3	3	4	4	7.74	3	1	0	37	246
M	0	0	FALSE	Exp. Pol.	cadsuppub	LREM	Lois	1	3	13	1	239	66	7	3	2	3	13	6	11	178	190	0	27	196
F	0	3	TRUE	Exp. Pol.	cadsuppub	LREM	affaires économiques	2	0	0	0	116	97	96	4	0	0	20	9	8.48	7	1	0	47	310
F	0	1	TRUE	Exp. Pol.	cadsupprive	LREM	Aff. Cult. & Educ.	2	5	4	4	53	72	7	1	4	4	7	7	8.91	2	5	0	18	304
F	0	0	FALSE	Novices	artisancommercantpdg	LREM	Finances	2	0	0	1	72	134	31	3	2	3	20	9	0	17	9	0	329	476
M	5	32	TRUE	Dép. sortant	cadsuppub	LC	Finances	7	0	0	0	412	122	480	1	5	8	15	9	8.85	63	35	0	729	169
M	2	29	FALSE	Dép. sortant	cadsuppub	LR	Defense	1	0	0	0	78	63	28	0	13	36	1	1	8.33	3	58	0	106	153
F	0	0	FALSE	Novices	artisancommercantpdg	LREM	Aff. Sociales	2	0	0	0	33	71	18	1	14	28	4	4	8.01	0	20	0	13	229
F	0	3	FALSE	Exp. Pol.	profinter	LREM	affaires économiques	1	0	0	0	468	82	132	1	2	3	12	10	8.88	7	11	0	433	491
M	2	27	FALSE	Dép. sortant	proflib	NG	Aff. Etrangeres	2	0	0	0	463	79	0	0	9	13	2	2	5.82	8	52	0	115	87
M	5	22	FALSE	Dép. sortant	agri	LR	Defense	6	13	10	4	0	39	19	0	2	2	81	5	0	222	190	1	240	218
F	0	9	FALSE	2de carrière	profinter	LREM	Aff. Sociales	1	0	0	0	21	56	9	1	1	3	9	7	7.9	2	12	0	7	335
F	0	0	FALSE	Exp. Pol.	cadsupprive	LREM	affaires économiques	2	0	0	0	93	108	19	3	7	9	9	6	8.19	1	2	0	39	350
F	1	18	TRUE	Dép. sortant	collab	NG	Finances	6	0	0	2	136	102	105	2	15	45	8	5	8.05	14	4	0	265	362
M	0	3	FALSE	Exp. Pol.	proflib	LREM	DvptDurable	2	0	0	0	67	50	5	1	11	17	2	2	7.68	19	69	0	28	145
M	0	3	FALSE	Exp. Pol.	artisancommercantpdg	LREM	Defense	2	0	0	0	25	58	73	0	15	52	3	3	7.97	5	100	0	51	268
M	2	22	TRUE	Dép. sortant	collab	NG	DvptDurable	3	0	0	3	72	58	139	1	10	34	19	10	8.52	10	175	0	114	157
M	0	15	FALSE	Ancr. local	cadsuppub	LREM	Aff. Etrangeres	0	0	0	0	22	50	0	3	3	6	0	0	7.44	0	24	0	2	64
M	0	0	FALSE	Novices	cadsuppub	LREM	Lois	1	0	0	0	46	65	38	2	9	10	4	3	7.34	4	70	0	52	183
M	0	3	FALSE	Exp. Pol.	proflib	LREM	Finances	2	0	0	0	74	129	5	3	11	33	8	4	7.69	8	2	0	77	164
M	0	16	FALSE	Ancr. local	cadsupprive	LREM	Defense	2	0	0	0	82	108	10	0	8	18	12	6	0	1	85	0	16	150
M	0	0	FALSE	Novices	artisancommercantpdg	LC	Aff. Etrangeres	5	0	0	1	77	73	103	3	12	42	12	9	6.02	4	9	0	131	168
F	0	11	FALSE	Ancr. local	profinter	LR	Aff. Sociales	2	0	0	0	18	52	1	0	2	2	0	0	0	0	0	0	7	146
F	0	0	FALSE	Novices	artisancommercantpdg	LREM	Aff. Cult. & Educ.	0	4	2	0	6	28	17	0	16	57	0	0	0	10	26	0	5	53
F	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Sociales	2	0	0	0	14	67	8	0	3	3	0	0	8.14	4	0	0	27	145
M	1	28	FALSE	Dép. sortant	cadsuppub	LR	Defense	0	0	0	1	50	78	26	2	6	8	5	4	8.44	1	0	0	11	150
M	5	33	TRUE	Dép. sortant	cadsuppub	LR	Aff. Etrangeres	2	10	2	3	59	47	4	1	8	12	1	1	9.94	37	27	0	96	117
F	0	12	TRUE	Ancr. local		LFI	Aff. Etrangeres	4	19	17	5	94	43	50	1	13	31	2	2	10.9	102	73	0	289	183
F	0	28	TRUE	Carr. au Centre	collab	LR	Aff. Cult. & Educ.	2	12	0	6	99	85	85	1	11	31	41	12	8.84	7	7	0	148	312
F	0	0	FALSE	Novices	cadsupprive	LREM	Lois	1	6	0	4	44	75	16	0	0	0	2	2	8.97	17	34	0	30	202
F	0	3	FALSE	Exp. Pol.	cadsupprive	LREM	Aff. Sociales	1	0	0	0	26	73	4	1	13	51	8	8	7.63	1	2	0	35	312
M	0	22	FALSE	Ancr. local	proflib	MODEM	Aff. Sociales	2	0	0	0	68	67	34	1	8	15	5	4	7.14	2	32	0	43	132
M	1	11	TRUE	Dép. sortant	collab	LR	Defense	3	17	11	10	23	30	380	0	14	52	12	7	9.47	116	193	0	141	85
M	0	0	FALSE	Novices	cadsupprive	LREM	affaires économiques	1	0	0	0	104	104	15	1	16	29	24	8	7.85	8	91	0	34	227
M	0	0	FALSE	Exp. Pol.	profinter	LREM	DvptDurable	2	0	0	0	37	64	8	4	9	17	16	8	7.96	4	90	0	32	175
M	2	16	FALSE	Dép. sortant	cadsuppub	LR	affaires économiques	3	9	10	3	99	67	122	1	11	18	27	11	7.38	128	312	0	62	111
M	0	3	FALSE	Exp. Pol.	cadsuppub	LREM	Finances	1	0	0	0	68	117	44	2	11	30	1	1	7.93	3	143	0	61	262
F	0	6	FALSE	Exp. Pol.	cadsupprive	LREM	Aff. Cult. & Educ.	3	0	0	0	15	27	1	0	10	16	0	0	0	0	14	0	7	66
F	0	3	FALSE	Exp. Pol.	cadsuppub	LREM	Aff. Cult. & Educ.	2	0	0	2	29	67	9	2	0	0	8	5	7.92	4	35	0	10	260
F	0	0	FALSE	Exp. Pol.	profinter	LFI	Lois	4	28	8	3	369	105	473	0	7	10	18	11	10.1	50	17	0	827	515
F	0	9	FALSE	2de carrière	profinter	LREM	DvptDurable	2	0	0	0	27	77	15	0	10	30	4	2	7.12	7	38	0	110	316
M	3	31	TRUE	Dép. sortant	collab	NG	Lois	1	1	0	3	53	54	22	0	5	6	2	2	7.38	37	248	0	116	160
M	0	16	FALSE	Ancr. local	cadsuppub	LR	DvptDurable	3	0	0	0	29	55	54	0	15	28	5	4	6.89	2	5	0	31	59
F	0	16	FALSE	Ancr. local	proflib	LREM	Aff. Sociales	2	0	0	0	47	97	18	1	8	9	7	4	7.82	10	2	0	60	341
F	2	18	TRUE	Dép. sortant	collab	NG	affaires économiques	2	7	11	6	276	88	237	0	8	17	18	10	11	85	111	0	149	175
F	0	0	FALSE	Novices	artisancommercantpdg	LREM	Aff. Etrangeres	2	0	0	0	14	45	1	0	0	0	17	9	8.28	7	0	0	16	183
M	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Etrangeres	2	0	0	0	25	66	13	0	11	22	2	2	8.58	5	104	0	14	242
M	0	16	FALSE	Ancr. local	cadsuppub	LREM	affaires économiques	1	0	0	0	59	94	69	0	10	25	6	6	7.06	3	72	0	22	226
M	0	3	FALSE	Exp. Pol.	cadsupprive	LREM	Defense	1	0	0	0	33	49	9	0	1	1	33	10	9.05	2	10	0	8	226
M	0	16	FALSE	Ancr. local	cadsupprive	LREM	Defense	2	0	0	0	103	82	4	0	15	52	9	5	7.79	0	192	0	51	176
M	0	22	FALSE	Ancr. local	proflib	LREM	affaires économiques	2	0	0	1	49	106	41	2	6	6	7	7	7.81	4	62	0	24	341
M	0	3	TRUE	Exp. Pol.	cadsupprive	LREM	Lois	2	0	0	0	114	64	16	0	4	5	10	6	0	12	178	0	86	170
M	4	29	TRUE	Dép. sortant	cadsuppub	LR	Aff. Etrangeres	2	0	0	0	42	76	0	2	14	43	6	4	7.24	1	124	0	12	38
M	0	0	FALSE	Exp. Pol.	profinter	LREM	Lois	2	0	0	0	22	66	44	0	14	48	6	4	7.79	4	56	0	47	209
M	3	28	TRUE	Dép. sortant	artisancommercantpdg	LR	affaires économiques	2	0	0	0	135	119	444	0	13	56	5	5	7.77	8	249	0	97	143
M	0	9	FALSE	2de carrière	artisancommercantpdg	LREM	Aff. Sociales	2	0	0	0	47	82	25	0	1	1	10	5	8.14	4	8	0	25	392
F	0	0	FALSE	Novices	cadsupprive	LREM	Finances	2	0	0	0	19	117	1	2	0	0	5	5	8.2	2	9	0	8	159
M	1	16	FALSE	Dép. sortant	agri	NG	affaires économiques	5	1	0	2	310	101	293	1	16	49	79	24	8.73	32	192	0	228	228
F	0	0	FALSE	Ancr. local	cadsuppub	LREM	Aff. Sociales	1	0	0	0	80	91	45	2	14	50	8	5	7.49	3	5	0	33	205
F	0	9	FALSE	2de carrière	cadsuppub	LREM	Lois	3	3	3	2	422	89	189	3	0	0	49	17	8.5	22	12	0	587	357
F	0	13	TRUE	Carr. au Centre	collab	MODEM	Lois	2	0	0	2	89	65	42	3	9	22	26	15	7.27	3	0	0	83	219
F	0	9	TRUE	Carr. au Centre	collab	GDR	Aff. Cult. & Educ.	5	1	0	5	70	54	150	0	6	8	10	5	9.18	38	20	0	248	258
F	0	6	TRUE	Carr. au Centre	collab	LR	Finances	1	0	0	1	41	77	162	2	10	35	22	14	7.54	12	2	0	95	228
F	0	5	TRUE	Exp. Pol.	cadsuppub	LREM	Finances	2	1	0	0	143	166	69	4	6	9	11	6	7.89	13	62	0	90	306
F	0	0	FALSE	Novices	cadsuppub	LREM	Lois	2	0	0	0	87	71	24	4	1	1	17	10	8.14	9	3	0	175	292
F	0	0	FALSE	Novices	cadsuppub	LREM	Defense	1	0	2	0	29	34	12	1	14	48	4	4	8.07	1	1	0	14	173
M	0	16	FALSE	Ancr. local	profinter	LR	DvptDurable	2	0	0	0	70	75	167	0	10	23	2	2	7	6	47	0	42	138
F	0	7	FALSE	2de carrière	proflib	LR	Aff. Cult. & Educ.	2	0	0	0	42	66	160	0	13	49	0	0	6.3	1	0	0	72	379
F	0	2	FALSE	Exp. Pol.	proflib	LREM	Aff. Sociales	2	0	0	0	25	85	14	0	6	14	1	1	0	0	0	0	12	183
F	0	0	FALSE	Exp. Pol.	cadsupprive	NI	affaires économiques	1	8	7	4	64	75	538	0	15	54	3	2	8.15	35	49	0	650	651
M	1	19	FALSE	Dép. sortant	proflib	LREM	Finances	0	1	0	7	133	110	196	1	11	42	22	14	8.3	24	72	0	98	243
M	1	5	FALSE	Dép. sortant	profinter	LREM	affaires économiques	2	0	0	0	104	112	96	2	4	5	23	6	8.61	10	237	0	43	355
M	2	27	TRUE	Dép. sortant	collab	LR	Lois	2	28	21	7	120	103	347	1	7	47	9	7	9.52	274	215	1	333	193
M	0	7	FALSE	Exp. Pol.	artisancommercantpdg	LFI	Finances	5	29	26	22	208	105	304	3	8	16	22	14	10.5	192	173	0	770	410
M	2	16	FALSE	Dép. sortant	cadsupprive	LR	Lois	2	0	0	0	51	63	155	0	10	21	2	2	7.16	9	6	0	99	178
M	0	0	FALSE	Novices	artisancommercantpdg	LREM	Aff. Etrangeres	2	0	0	0	31	95	17	0	3	5	3	2	7.72	1	0	0	18	399
M	0	22	FALSE	Ancr. local	profinter	LR	affaires économiques	2	0	0	0	72	75	175	1	17	30	5	2	7.56	6	5	0	57	204
M	0	7	TRUE	2de carrière	profinter	LREM	Lois	2	0	0	0	24	70	6	1	3	5	0	0	7.26	16	48	0	13	302
M	2	16	FALSE	Dép. sortant	cadsuppub	LR	affaires économiques	2	0	0	0	32	75	65	0	14	35	4	1	8.17	7	6	0	39	129
M	3	31	TRUE	Dép. sortant	cadsupprive	LR	Finances	2	14	21	7	749	140	118	0	9	14	9	4	10.9	153	152	0	299	117
F	1	9	FALSE	Dép. sortant	cadsuppub	NG	Aff. Sociales	4	2	2	2	105	51	234	0	18	46	9	7	9.43	19	14	0	168	135
M	0	5	FALSE	Exp. Pol.	artisancommercantpdg	MODEM	Lois	3	1	0	4	234	101	94	1	7	11	5	4	8.05	22	245	0	232	326
M	0	3	FALSE	Carr. au Centre	cadsupprive	LR	affaires économiques	2	4	1	0	144	97	67	0	15	53	0	0	0	42	38	0	494	414
M	0	0	FALSE	Exp. Pol.	cadsuppub	LREM	Defense	2	0	0	0	36	68	24	0	12	32	10	4	7.88	3	35	0	34	218
M	0	3	FALSE	Exp. Pol.	artisancommercantpdg	MODEM	Defense	0	0	0	0	69	60	66	0	3	5	1	1	0	1	98	0	44	82
M	0	3	FALSE	2de carrière		LREM	Lois	1	0	0	0	7	59	3	1	8	15	4	3	0	9	1	0	7	88
M	0	8	TRUE	2de carrière	collab	GDR	Finances	5	0	0	9	84	44	127	3	10	13	18	13	8.71	74	119	0	249	133
F	0	0	FALSE	Novices	artisancommercantpdg	LREM	Aff. Cult. & Educ.	2	0	0	0	51	51	13	0	7	13	9	7	7.91	3	26	0	30	369
M	0	14	TRUE	Carr. au Centre	artisancommercantpdg	LR	DvptDurable	2	0	0	0	155	64	314	2	14	65	3	2	7.07	5	2	0	185	193
M	0	7	FALSE	2de carrière	cadsuppub	LREM	Finances	2	0	0	0	15	74	0	2	3	4	7	4	6.9	2	30	0	21	233
F	0	12	FALSE	Ancr. local	cadsuppub	LREM	Aff. Sociales	1	0	0	0	37	70	10	0	5	8	2	1	7.59	1	14	0	21	380
F	0	0	FALSE	Novices	profinter	LREM	Aff. Cult. & Educ.	1	0	0	0	32	76	5	0	8	14	2	2	7.78	4	8	0	13	472
F	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Sociales	2	0	0	0	103	63	33	2	7	12	16	11	8.61	3	10	0	21	286
F	0	0	FALSE	Novices	cadsuppub	LREM	Aff. Sociales	1	0	0	0	13	58	5	0	6	12	3	2	7.02	4	5	0	16	261
F	0	2	FALSE	Exp. Pol.	profinter	MODEM	DvptDurable	0	0	0	0	28	58	31	0	5	13	2	2	0	2	23	0	30	140
M	1	14	TRUE	Dép. sortant	collab	LREM	Lois	1	0	0	2	58	75	51	0	7	9	10	7	8.51	22	78	0	97	189
M	0	0	FALSE	Exp. Pol.	proflib	LREM	Defense	1	6	0	2	2	42	0	0	1	1	14	11	8.82	43	128	1	8	188
M	3	28	FALSE	Dép. sortant	cadsupprive	LC	Aff. Sociales	0	0	0	0	153	47	248	1	9	18	18	8	7.47	9	31	0	240	189
M	5	28	TRUE	Dép. sortant	collab	LR	Defense	1	0	0	0	0	0	8	0	16	53	0	0	7.74	5	64	0	1	21
M	2	18	TRUE	Dép. sortant	artisancommercantpdg	LC	Aff. Cult. & Educ.	1	19	8	7	1	18	1	0	3	3	31	16	10.7	125	148	0	23	109
M	1	16	FALSE	Dép. sortant	cadsuppub	LREM	Defense	1	0	0	0	36	55	2	1	5	5	1	1	8.47	5	54	0	29	142
M	0	19	TRUE	Carr. au Centre	collab	LREM	Aff. Cult. & Educ.	1	0	0	0	10	45	3	0	5	6	21	7	0	3	6	0	30	106
M	5	28	TRUE	Dép. sortant	cadsupprive	LR	Finances	1	0	0	6	25	49	9	3	6	35	12	10	7.87	35	22	0	51	114
M	2	19	TRUE	Dép. sortant	collab	LREM	Lois	0	24	28	7	26	42	0	0	1	2	3	2	10.9	321	495	1	1573	0
M	0	25	TRUE	Ancr. local	collab	LREM	Finances	1	0	0	0	25	76	53	2	3	3	17	7	7.76	4	137	0	79	277
M	1	9	FALSE	Dép. sortant	cadsupprive	LREM	DvptDurable	0	3	1	0	61	39	179	0	6	9	7	4	8.96	60	32	0	38	91
M	2	22	TRUE	Dép. sortant	cadsuppub	NG	Finances	3	12	1	2	478	68	806	0	1	1	11	5	8.26	58	92	0	564	156
M	0	0	FALSE	Novices	cadsupprive	LFI	affaires économiques	4	9	13	0	309	53	310	1	10	18	4	3	11.5	208	339	0	443	194
F	1	15	TRUE	Dép. sortant	collab	LREM	Defense	1	0	0	0	33	68	28	0	15	34	4	3	8.04	5	29	0	12	169
M	1	22	FALSE	Dép. sortant	profinter	LREM	Aff. Etrangeres	1	0	0	0	15	51	5	0	13	33	5	5	7.85	12	109	0	8	94
M	0	0	FALSE	Exp. Pol.	cadsupprive	LREM	Aff. Etrangeres	0	0	0	0	13	27	23	0	0	0	8	5	7.72	2	11	0	47	218
M	0	7	FALSE	Exp. Pol.	cadsupprive	MODEM	Aff. Etrangeres	1	0	0	0	57	60	16	2	4	6	29	12	7.47	3	1	0	53	188
M	3	22	FALSE	Dép. sortant	cadsuppub	LR	Aff. Cult. & Educ.	1	0	0	0	83	88	51	0	10	21	3	2	0	1	0	0	94	252
F	0	19	TRUE	Ancr. local	artisancommercantpdg	LREM	Aff. Cult. & Educ.	2	1	5	0	38	55	2	1	5	7	116	15	8.54	5	3	0	16	239
F	0	0	FALSE	Exp. Pol.	cadsupprive	LREM	Defense	0	0	0	0	69	96	85	1	15	39	8	6	7.61	0	0	0	9	314
F	0	7	FALSE	Exp. Pol.	proflib	LR	Aff. Cult. & Educ.	1	0	0	0	27	49	10	0	14	41	1	1	6.47	1	0	0	35	69
F	0	3	FALSE	Exp. Pol.	cadsuppub	LREM	DvptDurable	2	0	0	0	50	65	18	1	6	10	3	2	6.94	0	21	0	8	160
M	0	3	TRUE	Carr. au Centre	collab	LREM	Aff. Cult. & Educ.	2	13	16	3	147	65	42	2	7	8	19	12	10.2	106	83	0	211	245
M	1	9	FALSE	Dép. sortant	cadsuppub	GDR	DvptDurable	5	0	0	1	26	58	53	1	12	24	0	0	8.13	9	4	0	117	120
M	0	0	FALSE	Novices	artisancommercantpdg	LREM	Aff. Cult. & Educ.	2	0	0	0	40	75	46	0	4	9	7	6	7.93	4	81	0	31	293
F	3	16	FALSE	Dép. sortant	cadsupprive	LR	Aff. Sociales	1	0	0	0	10	35	5	0	11	19	0	0	6.81	0	0	0	3	75
F	2	26	TRUE	Dép. sortant	proflib	NG	Aff. Cult. & Educ.	5	1	0	2	76	60	66	1	8	16	29	14	10.2	17	7	0	55	75
F	0	3	FALSE	Exp. Pol.	cadsuppub	MODEM	Aff. Cult. & Educ.	4	0	0	0	45	73	5	0	11	19	2	2	7.23	3	28	0	37	304
M	4	25	FALSE	Dép. sortant	proflib	LR	Aff. Sociales	1	0	0	0	181	57	302	0	2	2	4	3	7.93	21	14	0	238	147
M	4	33	FALSE	Dép. sortant	agri	LR	DvptDurable	1	0	0	0	42	88	42	2	10	24	4	3	0	0	2	0	42	114
M	1	5	FALSE	Dép. sortant	proflib	NI	Lois	1	8	9	2	6	22	37	0	15	33	2	2	9.8	89	194	0	62	103
M	5	33	TRUE	Dép. sortant	cadsuppub	LR	Finances	1	4	2	3	93	55	25	2	1	1	7	6	8.63	75	42	0	181	46
M	0	0	FALSE	Novices	artisancommercantpdg	LREM	Finances	1	18	18	11	14	80	0	2	4	4	26	11	9.64	110	45	0	70	405
M	1	29	TRUE	Dép. sortant	collab	LR	Aff. Sociales	3	0	0	1	184	118	250	3	13	48	10	3	8.55	27	269	0	419	647
F	2	22	FALSE	Dép. sortant	collab	NG	Aff. Cult. & Educ.	4	0	0	0	75	57	82	0	13	29	2	2	7.87	3	2	0	88	213
F	0	0	FALSE	Novices	cadsuppub	LREM	affaires économiques	1	0	0	0	51	90	17	1	11	30	3	3	7.78	2	20	0	16	450
M	0	0	FALSE	Novices	artisancommercantpdg	LREM	affaires économiques	2	0	0	0	218	89	46	2	19	55	17	6	8.26	11	16	0	48	184
M	0	9	FALSE	2de carrière	profinter	LREM	Aff. Cult. & Educ.	1	0	0	0	20	64	17	0	11	28	3	3	0	0	129	0	10	124
M	0	3	TRUE	Carr. au Centre	cadsupprive	LREM	Aff. Sociales	1	0	0	1	27	51	31	0	4	5	6	4	8.35	66	145	0	20	153
M	2	22	TRUE	Dép. sortant	collab	NG	DvptDurable	3	6	2	4	180	69	97	1	14	36	53	16	9.81	26	149	0	138	164
M	0	5	TRUE	Carr. au Centre	cadsupprive	LREM	Defense	2	0	0	1	44	75	22	1	5	8	21	12	7.97	9	21	0	53	335
M	0	0	FALSE	Novices	cadsupprive	LREM	affaires économiques	2	0	0	0	120	111	0	2	8	10	9	6	8.39	9	5	0	19	255
M	1	12	TRUE	Dép. sortant	cadsuppub	LR	Lois	0	12	9	11	220	77	129	1	14	30	2	1	7.74	154	78	0	354	203
M	0	3	FALSE	Exp. Pol.	cadsupprive	LR	Aff. Cult. & Educ.	2	12	11	5	9	23	11	1	11	27	9	8	10.6	101	235	0	35	63
M	0	23	TRUE	Ancr. local	collab	LREM	Lois	2	0	0	0	95	91	67	3	6	10	6	4	7.29	8	12	0	83	382
M	0	33	FALSE	Ancr. local	cadsuppub	LC	DvptDurable	4	0	0	1	56	73	126	0	10	20	1	1	0	3	71	0	80	137
M	6	33	FALSE	Dép. sortant	artisancommercantpdg	LR	Aff. Etrangeres	3	0	0	0	23	21	15	2	14	28	5	4	8.93	10	1	0	14	47
M	2	16	TRUE	Dép. sortant	collab	LREM	Defense	1	2	0	0	10	51	0	0	9	11	4	4	8.62	8	137	0	2	74
F	1	13	FALSE	Dép. sortant	proflib	NG	Aff. Sociales	2	0	0	0	43	41	104	0	0	0	2	2	5.91	3	0	0	37	118
F	0	3	FALSE	Exp. Pol.	cadsuppub	LREM	Lois	1	0	0	0	23	82	4	0	3	3	4	4	7.33	0	2	0	73	440
M	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Etrangeres	1	9	3	1	15	30	0	0	1	1	6	6	8.48	23	218	0	5	125
M	1	33	FALSE	Dép. sortant	cadsupprive	LREM	Finances	1	0	0	0	45	130	26	2	10	29	17	12	7.87	6	95	0	34	104
M	0	20	TRUE	Ancr. local	collab	NG	DvptDurable	4	0	0	4	102	84	37	0	15	38	8	7	8.07	10	9	0	147	165
M	0	22	FALSE	Ancr. local	cadsuppub	LREM	Aff. Etrangeres	2	0	0	0	25	57	1	2	4	5	5	4	7.93	5	18	0	15	200
M	0	27	TRUE	Ancr. local	cadsuppub	GDR	DvptDurable	6	0	0	3	102	70	111	1	11	24	1	1	0	27	101	0	250	249
M	0	10	TRUE	Carr. au Centre	collab	LREM	Aff. Etrangeres	1	14	8	4	15	61	14	1	10	14	6	5	7	68	33	1	1560	138
F	4	33	FALSE	Dép. sortant	profinter	GDR	Lois	4	0	0	0	72	31	33	2	14	27	16	11	7.51	6	3	0	52	108
F	0	0	FALSE	Novices	cadsupprive	LREM	affaires économiques	1	0	0	0	52	88	18	0	3	3	3	3	7.9	5	0	0	30	382
M	0	4	TRUE	Carr. au Centre	cadsupprive	LR	Defense	2	1	0	2	11	27	42	0	14	24	1	1	7.76	22	99	0	68	180
F	0	13	TRUE	Carr. au Centre	collab	MODEM	Lois	3	0	2	2	76	87	46	2	2	2	14	10	7.56	1	1	0	95	482
F	0	9	FALSE	2de carrière	cadsupprive	LREM	Aff. Etrangeres	1	0	0	0	46	77	2	4	13	31	4	4	6.25	2	5	0	14	225
F	0	7	FALSE	Exp. Pol.	employe	LR	Aff. Sociales	2	0	0	0	20	47	96	0	11	29	10	8	7.21	2	23	0	57	272
F	0	0	FALSE	Exp. Pol.	profinter	LREM	Aff. Cult. & Educ.	1	0	0	0	69	82	14	0	9	21	6	4	7.11	1	33	0	24	368
F	2	28	FALSE	Dép. sortant	cadsuppub	LREM	Aff. Etrangeres	2	0	0	0	23	46	20	0	16	52	6	3	7.22	4	11	0	16	96
M	0	22	FALSE	Ancr. local	agri	LR	affaires économiques	1	0	0	0	21	49	52	0	17	67	2	2	6.55	1	1	0	6	73
M	1	33	FALSE	Dép. sortant	cadsuppub	LREM	DvptDurable	1	0	1	0	6	31	0	0	6	8	5	5	7.96	9	3	0	19	66
M	0	19	TRUE	Ancr. local	cadsuppub	LREM	Aff. Etrangeres	3	1	1	4	50	57	0	0	4	6	70	20	7.97	15	19	0	19	107
M	0	5	FALSE	Exp. Pol.	cadsupprive	LREM	Defense	2	0	0	0	89	84	16	1	15	62	17	6	7.95	0	6	0	33	249
M	0	14	FALSE	Ancr. local	cadsuppub	LREM	Finances	1	0	0	0	16	62	0	2	0	0	10	7	7.55	5	53	0	11	65
M	0	0	FALSE	Novices	artisancommercantpdg	LREM	DvptDurable	3	13	5	5	122	57	42	2	7	11	6	4	8.42	35	29	0	183	192
M	0	0	FALSE	Exp. Pol.	agri	LREM	affaires économiques	2	3	6	5	840	99	203	4	0	0	25	14	8.66	36	37	0	560	299
M	0	22	FALSE	Ancr. local	cadsuppub	LREM	affaires économiques	1	0	0	0	50	79	64	2	8	16	5	5	7.1	2	10	0	39	366
M	0	12	TRUE	Ancr. local	proflib	LR	Aff. Sociales	0	0	0	1	130	70	127	0	15	54	20	8	6.49	3	80	0	23	47
M	0	3	FALSE	Exp. Pol.	artisancommercantpdg	LREM	DvptDurable	2	0	0	0	145	93	139	4	3	3	13	10	8.01	3	2	0	107	269
M	0	0	FALSE	Novices	cadsuppub	LREM	Defense	1	0	0	0	27	30	2	1	10	20	12	6	7.88	2	68	0	9	77
M	3	26	FALSE	Dép. sortant	artisancommercantpdg	LR	affaires économiques	2	0	0	0	28	38	52	0	6	11	2	2	8.23	5	44	0	56	72
M	3	25	TRUE	Dép. sortant	collab	LC	Defense	5	12	15	6	98	48	202	0	13	24	3	3	9.37	100	122	0	349	120
M	2	15	FALSE	Dép. sortant	cadsupprive	LR	affaires économiques	1	0	0	0	30	39	62	0	17	39	0	0	7.1	2	1	0	52	129
M	0	20	FALSE	Ancr. local	agri	LREM	DvptDurable	2	0	0	0	20	120	25	0	0	0	2	2	8.05	4	0	0	29	371
M	0	9	FALSE	2de carrière	cadsupprive	NI	Aff. Cult. & Educ.	2	4	1	0	116	48	376	0	13	25	5	4	8.72	17	10	0	139	133
M	0	0	FALSE	Exp. Pol.	artisancommercantpdg	LREM	DvptDurable	2	1	0	0	20	53	28	1	0	0	8	6	7.32	7	18	0	20	95
M	0	0	FALSE	Exp. Pol.	proflib	LREM	Defense	2	0	0	0	104	96	22	1	4	6	22	11	7.77	14	39	0	27	182
M	0	0	FALSE	Novices		LREM	Aff. Etrangeres	2	0	0	1	31	70	44	0	10	14	9	6	7.95	0	17	0	43	370
M	0	28	FALSE	Ancr. local	profinter	LR	Finances	1	0	0	0	2	38	33	0	10	20	8	3	0	4	30	0	4	86
M	0	9	TRUE	2de carrière	cadsupprive	LREM	Aff. Etrangeres	1	0	0	0	4	40	0	0	10	14	1	1	7.47	3	8	0	7	109
M	0	0	FALSE	Exp. Pol.	employe	LFI	Aff. Sociales	4	0	0	0	115	78	278	1	17	33	1	1	8.14	8	2	0	191	332
M	1	16	FALSE	Dép. sortant	cadsupprive	LREM	Defense	2	1	10	1	612	88	153	2	0	0	0	0	7.99	29	46	0	338	396
M	0	5	FALSE	Exp. Pol.	proflib	LR	Defense	2	0	0	0	47	61	41	1	7	11	1	1	6.77	7	1	0	21	83
M	2	15	FALSE	Dép. sortant	proflib	LR	Aff. Cult. & Educ.	1	0	0	0	7	45	42	0	13	46	1	1	6.79	2	13	0	22	85
M	3	33	FALSE	Dép. sortant	profinter	NI	Finances	1	1	1	0	10	29	42	0	13	24	4	3	10.7	37	328	0	124	73
M	0	24	FALSE	Carr. au Centre	cadsuppub	MODEM	Finances	4	6	11	4	186	107	22	0	0	0	3	2	0	27	22	0	91	95
M	1	16	TRUE	Dép. sortant	profinter	NG	Finances	4	0	0	0	140	110	48	0	18	38	0	0	7.37	7	3	0	252	307
M	0	16	FALSE	Ancr. local	cadsuppub	LR	Lois	2	0	0	0	96	81	248	0	14	58	2	2	0	7	6	0	110	263
M	2	28	FALSE	Dép. sortant	proflib	LREM	Aff. Sociales	2	0	2	2	35	59	2	0	8	16	19	9	0	53	53	0	8	51
M	0	0	FALSE	Exp. Pol.	cadsuppub	LREM	DvptDurable	3	0	0	0	46	71	9	0	8	12	6	3	7.82	2	100	0	31	369
M	0	16	FALSE	Ancr. local	artisancommercantpdg	MODEM	affaires économiques	1	0	0	0	104	54	96	0	18	64	14	7	7.86	2	2	0	33	110
M	0	33	FALSE	Dép. sortant	collab	LFI	Aff. Etrangeres	10	11	11	0	31	43	86	0	12	44	2	2	14.5	846	875	0	685	280
M	6	33	FALSE	Dép. sortant	cadsupprive	LR	Aff. Etrangeres	0	0	0	0	6	32	0	1	8	23	1	1	6.72	6	12	0	23	40
M	5	27	FALSE	Dép. sortant	cadsupprive	LC	Lois	0	0	0	0	35	104	106	3	12	35	7	6	7.96	26	11	0	56	39
M	0	0	FALSE	Exp. Pol.	cadsupprive	LREM	DvptDurable	2	0	0	2	80	109	27	1	9	36	3	3	8.3	10	7	0	48	316
M	0	0	FALSE	Novices	profinter	LREM	Defense	1	0	0	0	15	65	1	0	12	35	2	2	7.63	2	117	0	6	284
M	3	31	FALSE	Dép. sortant	agri	LR	DvptDurable	2	0	0	1	104	79	44	0	13	39	1	1	7.08	2	186	0	129	82
M	2	28	FALSE	Dép. sortant	proflib	LREM	Lois	0	1	0	3	17	42	68	1	11	25	25	9	8.07	60	225	0	18	61
M	0	0	FALSE	Novices	cadsuppub	LREM	Lois	1	13	9	3	19	47	0	1	1	1	12	7	0	29	41	0	10	317
M	0	3	FALSE	Exp. Pol.	profinter	LREM	Defense	1	0	0	0	77	81	2	0	12	24	0	0	7.9	6	182	0	17	254
M	0	22	TRUE	Carr. au Centre	cadsupprive	LREM	Lois	1	0	0	0	9	81	2	0	12	25	2	1	7.85	7	52	0	16	318
M	0	2	FALSE	Exp. Pol.	cadsuppub	MODEM	Finances	1	1	0	5	84	82	83	2	4	4	25	13	7.92	34	28	0	104	189
M	0	28	FALSE	Ancr. local	profinter	GDR	Finances	5	0	0	0	90	94	104	0	11	22	0	0	7.23	19	3	0	250	377
M	1	28	FALSE	Dép. sortant	profinter	GDR	Aff. Etrangeres	6	0	0	0	104	56	7	2	4	5	6	6	0	38	147	0	519	331
M	0	28	FALSE	Ancr. local	proflib	MODEM	Finances	1	0	0	0	116	94	126	3	4	4	14	5	6.05	9	95	0	148	247
M	0	7	FALSE	2de carrière	artisancommercantpdg	LREM	Defense	1	0	0	0	15	41	1	0	13	22	5	5	0	0	74	0	24	146
M	1	20	TRUE	Dép. sortant	collab	GDR	Aff. Sociales	3	0	0	0	12	15	79	0	2	2	0	0	0	4	2	0	77	45
M	0	33	FALSE	Ancr. local	artisancommercantpdg	MODEM	Defense	4	0	0	0	56	77	30	0	10	28	1	1	0	2	144	0	45	163
M	3	33	FALSE	Dép. sortant	proflib	LR	Aff. Sociales	3	0	0	2	92	36	135	0	3	4	5	4	8.46	29	30	0	114	99
M	1	28	FALSE	Dép. sortant	proflib	LREM	Lois	1	0	0	0	26	121	0	1	8	17	2	1	7.9	2	48	0	20	199
M	1	9	FALSE	Dép. sortant	cadsuppub	LR	Finances	2	0	0	0	85	103	88	0	13	32	1	1	7.06	2	64	0	83	106
M	0	3	FALSE	Exp. Pol.	cadsupprive	LREM	Finances	2	0	0	0	105	101	12	3	3	3	25	17	8.13	20	1	0	129	304
M	0	3	FALSE	Exp. Pol.	proflib	LREM	Lois	1	0	0	1	44	119	17	1	7	9	1	1	8.2	5	2	0	66	430
M	1	16	FALSE	Dép. sortant	agri	LR	DvptDurable	2	0	0	0	46	67	77	0	9	28	0	0	0	1	1	0	45	269
F	1	9	FALSE	Dép. sortant	cadsuppub	NI	Aff. Sociales	1	0	0	0	90	69	135	0	14	29	1	1	0	2	7	0	91	226
F	0	0	FALSE	Novices	cadsuppub	LREM	DvptDurable	1	0	0	0	18	49	45	1	9	18	17	9	6.64	0	21	0	14	197
M	6	30	TRUE	Dép. sortant	collab	NG	Aff. Etrangeres	0	0	0	0	24	49	0	0	13	24	2	1	6.77	7	347	0	0	62
M	0	20	TRUE	Carr. au Centre	collab	LR	affaires économiques	3	0	0	0	75	57	155	0	9	22	3	2	7.15	0	77	0	95	175
M	0	8	FALSE	2de carrière	artisancommercantpdg	MODEM	DvptDurable	3	0	0	0	69	96	34	1	7	13	3	3	7.6	10	195	0	61	251
M	0	0	FALSE	Novices	proflib	LREM	Aff. Etrangeres	1	0	1	1	25	39	6	1	5	5	4	3	8.5	22	7	0	14	102
M	1	28	FALSE	Dép. sortant	cadsuppub	NG	Defense	6	2	0	8	113	93	16	2	7	10	9	5	6.62	6	100	0	119	189
M	1	16	FALSE	Dép. sortant	profinter	NG	Aff. Sociales	3	0	0	0	83	43	179	0	12	21	3	3	7.48	32	25	0	144	137
M	3	28	FALSE	Dép. sortant	cadsuppub	LREM	Finances	1	0	0	0	1044	129	470	20	12	33	11	7	7.5	79	41	0	907	140
M	0	18	TRUE	Carr. au Centre	collab	NI	affaires économiques	1	1	0	0	22	47	5	0	15	36	1	1	0	27	28	0	15	116
F	0	33	FALSE	Ancr. local	profinter	NG	Aff. Cult. & Educ.	4	0	0	0	19	37	23	0	6	13	2	2	0	1	0	0	44	180
F	0	28	FALSE	Ancr. local	proflib	LR	Aff. Sociales	2	0	0	0	49	67	104	0	14	32	0	0	0	2	20	0	26	89
F	0	28	FALSE	Ancr. local	profinter	MODEM	Defense	3	0	0	0	16	56	36	0	1	1	1	1	7.59	3	63	0	28	224
M	1	5	FALSE	Dép. sortant	cadsuppub	LR	Finances	3	15	4	3	184	68	238	3	16	38	40	18	8.74	88	66	0	324	139
M	0	0	FALSE	Exp. Pol.	proflib	LREM	Aff. Sociales	1	0	0	2	157	84	10	0	16	33	0	0	7.04	8	102	0	42	359
M	1	7	FALSE	Dép. sortant	cadsupprive	LR	affaires économiques	2	3	0	4	117	88	182	1	16	53	26	13	8.37	24	11	0	121	180
F	0	7	FALSE	2de carrière	profinter	MODEM	Aff. Sociales	3	0	0	0	67	52	68	0	7	9	0	0	0	3	2	0	29	137
F	0	0	FALSE	Novices	proflib	LREM	Lois	2	12	9	2	54	70	7	1	1	1	22	16	9.83	33	19	0	42	300
F	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Sociales	1	0	0	0	31	59	17	0	5	6	2	2	7.8	0	2	0	9	234
F	0	0	FALSE	Novices	cadsuppub	LREM	Aff. Etrangeres	2	0	0	0	120	58	11	2	17	36	7	6	6.9	3	7	0	58	189
F	2	16	FALSE	Dép. sortant	artisancommercantpdg	LC	affaires économiques	3	2	2	5	113	61	150	1	11	30	41	10	9.92	28	22	0	97	126
F	3	29	TRUE	Dép. sortant	collab	NG	Aff. Etrangeres	5	0	0	0	21	30	4	2	5	7	1	1	7.12	17	28	0	115	161
F	0	5	FALSE	Exp. Pol.	cadsupprive	LREM	Aff. Etrangeres	2	0	0	0	19	60	2	1	3	8	2	1	6.48	2	12	0	17	270
F	0	3	TRUE	Exp. Pol.	artisancommercantpdg	LREM	DvptDurable	1	0	0	0	328	83	57	1	6	9	14	9	8.44	6	21	0	45	227
F	0	19	FALSE	Ancr. local	profinter	LR	Defense	2	0	0	0	50	76	138	0	13	28	0	0	6.63	3	0	0	38	248
F	0	0	FALSE	Novices	profinter	LREM	DvptDurable	1	0	0	0	11	64	12	1	13	35	0	0	0	4	0	0	10	128
F	0	3	TRUE	Exp. Pol.	cadsuppub	MODEM	Lois	2	2	0	2	110	76	53	1	2	2	1	1	7.8	9	8	0	90	137
M	1	22	FALSE	Dép. sortant	cadsuppub	LR	Defense	2	0	0	0	54	43	34	0	14	34	1	1	0	3	3	0	183	141
M	0	22	FALSE	Ancr. local	cadsupprive	MODEM	Aff. Cult. & Educ.	2	0	0	1	29	51	10	1	18	56	7	3	7.08	3	94	0	17	116
M	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Sociales	2	0	0	1	202	83	30	3	0	0	23	12	7.76	18	48	0	334	334
M	0	0	FALSE	Exp. Pol.	cadsupprive	LREM	Finances	3	9	6	12	178	132	79	3	5	5	81	21	8.72	36	33	0	140	226
F	0	1	TRUE	Exp. Pol.	cadsuppub	LREM	DvptDurable	2	3	1	3	42	64	32	1	11	22	5	5	9.09	32	25	1	102	271
M	0	0	FALSE	Exp. Pol.	cadsupprive	LREM	Aff. Cult. & Educ.	2	0	0	0	4	11	28	0	0	0	0	0	7.39	23	9	0	2	52
F	0	3	FALSE	Exp. Pol.	cadsuppub	LREM	Aff. Etrangeres	1	0	0	0	54	90	2	1	5	9	1	1	7.45	1	5	0	13	328
M	0	8	FALSE	2de carrière	cadsupprive	LREM	DvptDurable	1	1	0	3	30	80	63	0	14	36	4	3	7.06	4	180	0	26	308
F	0	8	TRUE	Carr. au Centre	collab	LC	Finances	2	0	0	0	43	63	203	0	13	33	4	4	7.28	5	0	0	122	333
M	0	3	FALSE	Exp. Pol.	proflib	LREM	DvptDurable	1	0	0	0	48	58	49	0	9	22	4	2	8.1	8	6	0	16	182
M	0	0	FALSE	Novices	cadsupprive	LREM	Defense	0	0	0	0	38	71	7	0	11	34	11	3	7.18	2	0	0	13	137
M	0	0	FALSE	Exp. Pol.	profinter	LFI	DvptDurable	4	1	1	1	537	114	278	1	14	44	2	2	9.23	16	88	0	376	391
M	0	19	TRUE	Carr. au Centre	collab	NI	Defense	1	18	15	4	24	38	35	0	13	28	2	1	10.9	89	151	0	48	121
M	0	16	FALSE	Ancr. local	cadsuppub	NG	Defense	4	12	19	12	4	23	23	0	18	47	9	4	9.38	206	304	0	70	95
M	0	1	TRUE	Exp. Pol.	profinter	LREM	Aff. Etrangeres	2	0	0	3	63	57	4	1	0	0	28	2	8.12	6	1	0	66	161
M	0	0	FALSE	Exp. Pol.		NI	DvptDurable	1	0	1	1	23	53	81	0	12	35	5	5	8.63	24	66	0	136	280
M	0	6	TRUE	Carr. au Centre	cadsupprive	LREM	Finances	2	0	0	0	133	61	311	0	12	55	3	3	0	35	86	0	108	182
F	1	11	FALSE	Dép. sortant	artisancommercantpdg	LC	Lois	2	0	0	0	253	79	56	1	6	9	12	7	7.36	3	4	0	98	170
M	1	23	FALSE	Dép. sortant	proflib	LR	Lois	2	0	0	0	12	30	42	0	10	18	0	0	0	29	11	0	65	99
M	3	30	TRUE	Dép. sortant	collab	LREM	Lois	0	17	16	1	15	39	0	1	6	6	2	2	13.9	386	422	0	32	46
M	0	3	FALSE	Exp. Pol.	proflib	LREM	Aff. Sociales	1	0	0	0	61	98	0	0	12	22	3	3	7.46	4	1	0	15	352
M	0	16	TRUE	Carr. au Centre	collab	MODEM	Defense	4	6	12	12	226	55	63	1	2	2	7	7	8.95	75	150	1	404	361
M	4	27	TRUE	Dép. sortant	cadsuppub	LR	Finances	2	0	0	0	102	81	721	2	11	30	24	12	9.34	30	380	1	1471	141
F	0	2	FALSE	Exp. Pol.	artisancommercantpdg	MODEM	affaires économiques	3	0	0	0	51	99	12	0	8	14	0	0	7.6	3	9	0	20	176
F	2	22	FALSE	Dép. sortant		LR	Defense	3	0	0	1	42	55	10	1	11	18	6	3	8.94	2	3	0	23	93
F	0	2	TRUE	2de carrière	collab	LREM	Finances	2	0	0	0	7	78	1	2	11	21	12	8	7.77	0	0	0	13	138
F	2	22	FALSE	Dép. sortant	profinter	LR	Finances	2	0	0	2	138	79	202	2	14	41	18	8	0	4	20	0	208	179
F	0	0	FALSE	Novices	cadsupprive	LREM	Finances	2	0	0	0	29	90	32	2	7	9	19	10	8.23	3	3	0	87	501
F	4	20	FALSE	Dép. sortant	collab	GDR	Aff. Cult. & Educ.	2	0	3	4	86	44	68	0	17	30	13	5	0	27	8	0	101	99
F	0	15	TRUE	Carr. au Centre	collab	LREM	Lois	2	0	0	2	40	71	21	0	5	5	13	9	8.23	31	15	0	108	320
F	0	2	TRUE	Carr. au Centre	collab	LREM	affaires économiques	2	10	3	8	37	95	0	1	1	1	23	15	9.1	5	10	0	20	345
F	2	22	FALSE	Dép. sortant	cadsupprive	NG	affaires économiques	2	0	0	0	92	110	55	1	11	25	11	4	0	2	1	0	144	327
F	0	1	TRUE	Exp. Pol.	proflib	LREM	Aff. Cult. & Educ.	2	1	0	3	142	65	46	4	6	8	1	1	8.71	3	6	0	43	170
F	0	2	FALSE	Exp. Pol.	proflib	LREM	Aff. Sociales	2	0	0	0	38	65	12	0	10	15	3	3	6.91	4	16	0	13	152
F	0	26	TRUE	Carr. au Centre	collab	MODEM	Aff. Etrangeres	3	1	1	0	399	112	4	1	13	44	6	4	9.81	69	97	0	54	104
F	2	28	FALSE	Dép. sortant	cadsuppub	NG	Lois	3	1	0	3	171	75	453	0	14	46	6	4	7.94	8	14	0	187	159
F	1	6	FALSE	Dép. sortant		LC	Aff. Sociales	2	0	0	0	32	29	138	0	7	11	1	1	9.24	16	2	0	25	43
F	0	23	TRUE	Dép. sortant	collab	NI	Aff. Etrangeres	1	24	28	2	27	36	131	0	11	16	98	6	14.6	607	701	0	216	136
F	0	3	FALSE	Exp. Pol.	cadsupprive	LREM	Aff. Etrangeres	1	0	0	0	22	55	4	1	7	10	1	1	7.58	0	0	0	9	458
F	0	2	FALSE	Exp. Pol.	artisancommercantpdg	LREM	DvptDurable	1	0	0	0	24	46	25	0	3	3	8	6	7.69	0	0	0	11	218
M	3	22	TRUE	Dép. sortant	profinter	LR	DvptDurable	1	0	0	0	133	63	339	0	16	79	0	0	8.07	5	10	0	130	96
F	0	0	FALSE	Exp. Pol.	proflib	LREM	Aff. Etrangeres	1	0	0	0	25	45	20	0	1	1	3	3	7.18	1	21	0	33	203
F	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Sociales	1	0	0	0	64	75	56	0	6	16	7	7	8.21	15	4	0	80	388
F	0	0	FALSE	Exp. Pol.	cadsupprive	LFI	DvptDurable	5	6	2	3	119	52	210	0	8	28	1	1	9.63	22	16	0	275	300
M	0	6	FALSE	2de carrière	cadsuppub	LREM	DvptDurable	2	4	5	2	142	97	145	0	12	27	31	13	9.85	121	198	0	108	312
F	0	3	FALSE	Exp. Pol.	employe	MODEM	Aff. Cult. & Educ.	4	0	0	0	40	64	11	0	8	8	1	1	7.63	2	5	0	33	290
M	4	33	TRUE	Dép. sortant	collab	LC	Aff. Etrangeres	3	2	0	1	40	47	10	2	13	65	0	0	9.05	15	197	1	14	35
M	0	10	FALSE	Ancr. local	cadsuppub	MODEM	affaires économiques	1	0	0	0	41	46	57	0	9	21	4	2	6.65	3	3	0	24	93
M	0	3	FALSE	Carr. au Centre	profinter	LR	Aff. Cult. & Educ.	2	0	0	0	33	53	35	1	8	18	3	2	7.68	9	17	0	57	413
M	1	4	FALSE	Dép. sortant	cadsupprive	LC	Aff. Etrangeres	5	2	0	0	38	31	25	0	5	8	1	1	9.15	14	4	0	130	82
M	0	20	FALSE	Ancr. local	cadsuppub	NI	Finances	1	0	1	0	178	83	456	0	13	24	2	2	8.58	17	5	0	302	190
M	0	8	FALSE	Exp. Pol.	cadsupprive	LREM	affaires économiques	2	0	0	0	34	82	30	0	5	10	0	0	6.93	2	119	0	20	177
M	1	28	FALSE	Dép. sortant	proflib	MODEM	Aff. Etrangeres	3	0	0	0	41	60	0	2	3	4	1	1	6.41	6	5	0	14	45
M	4	28	FALSE	Dép. sortant	cadsupprive	LR	Aff. Etrangeres	2	0	0	0	66	50	7	0	5	9	3	3	0	5	21	0	21	57
M	0	7	FALSE	2de carrière	profinter	LFI	Aff. Cult. & Educ.	4	0	0	1	139	52	166	1	13	31	18	11	8.93	11	11	0	124	231
M	0	16	FALSE	Ancr. local	proflib	LREM	Finances	1	0	0	0	60	113	1	2	7	13	4	4	7.74	2	94	0	9	199
M	0	22	FALSE	Ancr. local	cadsupprive	LR	DvptDurable	1	0	0	0	11	33	14	1	2	4	4	3	6.89	1	38	0	20	89
M	3	16	FALSE	Dép. sortant	profinter	LC	Lois	0	0	0	0	64	42	41	2	11	47	2	1	7.9	8	64	0	102	67
F	0	2	FALSE	Exp. Pol.	artisancommercantpdg	LREM	affaires économiques	2	0	0	0	109	132	0	0	7	9	2	2	7.79	1	1	0	8	314
F	0	9	FALSE	2de carrière	profinter	MODEM	Aff. Sociales	4	0	0	0	121	75	97	0	7	13	5	3	7.32	1	1	0	85	337
F	0	7	FALSE	Exp. Pol.	profinter	LREM	Aff. Sociales	2	0	0	0	9	71	3	0	4	10	1	1	7.81	4	6	0	15	490
F	3	30	TRUE	Dép. sortant	collab	LR	Aff. Etrangeres	0	0	0	0	5	18	3	1	12	38	12	3	8.45	14	4	0	2	26
M	0	0	FALSE	Exp. Pol.	cadsupprive	LREM	affaires économiques	2	3	1	1	118	84	55	0	1	1	1	1	8.67	6	8	0	80	354
F	0	5	TRUE	Exp. Pol.	cadsupprive	LREM	Aff. Etrangeres	1	0	0	0	35	64	2	1	4	7	25	10	8.09	5	1	0	16	379
F	0	3	FALSE	Exp. Pol.	profinter	LREM	Aff. Sociales	1	0	0	0	30	85	4	0	7	10	4	4	8.09	1	33	0	17	333
M	0	3	TRUE	Exp. Pol.	artisancommercantpdg	GDR	Aff. Etrangeres	5	0	0	0	20	35	11	0	0	0	3	3	5.67	12	7	0	47	93
M	0	0	FALSE	Novices	proflib	MODEM	Finances	3	0	0	0	121	102	146	2	4	6	25	14	7.58	3	1	0	67	196
F	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Etrangeres	1	0	0	0	31	87	1	1	4	4	14	11	7.4	2	2	0	6	289
F	2	26	FALSE	Dép. sortant	profinter	LREM	Aff. Sociales	1	1	0	2	66	53	12	1	4	4	26	15	8.63	7	6	0	25	109
F	0	9	FALSE	2de carrière	profinter	LREM	affaires économiques	1	0	0	0	84	103	72	0	2	2	0	0	8.32	0	1	0	33	332
F	0	2	FALSE	Exp. Pol.	profinter	LFI	Finances	1	0	0	0	10	23	162	0	13	20	0	0	8.48	3	11	0	53	231
M	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Sociales	1	0	0	0	7	66	16	0	2	3	11	10	8.01	4	38	0	6	242
F	0	11	FALSE	Ancr. local	cadsupprive	MODEM	Aff. Cult. & Educ.	3	0	0	0	29	56	5	0	4	5	0	0	7.22	4	6	0	72	185
F	0	0	FALSE	Novices	profinter	LREM	Finances	2	0	0	0	50	86	20	7	0	0	18	9	8.31	2	10	0	66	338
F	0	14	FALSE	Ancr. local	proflib	LR	Aff. Sociales	2	0	0	0	11	24	68	0	6	8	1	1	0	1	0	0	26	43
F	0	0	FALSE	Novices	cadsupprive	LREM	Lois	1	1	1	5	112	109	50	2	4	6	19	10	8.68	14	5	0	111	274
F	0	0	FALSE	Novices	cadsupprive	LREM	Defense	2	0	0	0	96	92	10	1	2	3	10	7	8.31	1	6	0	38	331
F	0	9	FALSE	2de carrière	cadsuppub	LR	DvptDurable	2	0	0	0	15	36	23	2	7	12	2	2	6.19	1	0	0	45	180
F	0	2	FALSE	Exp. Pol.	profinter	MODEM	Aff. Sociales	3	0	0	3	147	53	218	2	9	23	10	4	7.74	11	7	0	124	288
F	0	7	FALSE	Exp. Pol.	profinter	LREM	DvptDurable	1	0	0	0	38	82	9	1	12	22	1	1	0	1	21	0	8	228
M	0	0	FALSE	Novices	artisancommercantpdg	LREM	affaires économiques	1	0	0	0	83	84	83	1	11	17	0	0	8.18	2	79	0	46	432
M	4	24	TRUE	Dép. sortant	cadsuppub	NI	Aff. Etrangeres	1	25	35	7	28	34	23	0	15	57	20	7	12.1	148	202	0	105	52
M	4	31	TRUE	Dép. sortant	artisancommercantpdg	LR	Finances	1	2	0	0	22	43	175	2	12	26	21	13	7.32	6	141	0	51	88
M	0	9	FALSE	2de carrière	agri	MODEM	affaires économiques	3	0	0	0	138	56	27	0	0	0	9	3	7.28	3	185	0	105	165
F	0	0	FALSE	Novices	profinter	LREM	Lois	1	0	0	0	5	81	2	0	6	12	1	1	7.79	2	13	0	14	440
F	0	16	FALSE	Ancr. local	agri	LREM	Aff. Etrangeres	2	0	0	0	35	110	2	0	6	8	0	0	8.1	1	36	0	10	310
F	0	4	FALSE	Exp. Pol.	cadsuppub	LC	Aff. Sociales	2	0	0	0	7	18	4	0	6	8	1	1	0	1	0	0	27	120
F	0	0	FALSE	Novices	profinter	LREM	Defense	2	0	0	0	59	78	0	4	6	14	5	5	6.61	2	8	0	16	276
F	0	3	FALSE	2de carrière	cadsupprive	LREM	Aff. Etrangeres	2	1	0	0	27	54	2	2	11	13	3	3	7.55	0	15	0	7	252
F	0	3	TRUE	Exp. Pol.	cadsupprive	LREM	Finances	2	13	3	7	19	59	4	2	1	1	76	17	9.37	34	21	0	51	171
M	0	9	FALSE	Carr. au Centre	cadsuppub	LC	Defense	4	0	0	0	52	47	31	1	13	41	4	4	4.04	5	2	0	163	138
M	0	16	FALSE	Ancr. local	profinter	LREM	Finances	2	0	0	0	11	78	0	2	5	5	8	8	7.38	4	125	0	12	360
M	5	30	FALSE	Dép. sortant	artisancommercantpdg	LR	Aff. Etrangeres	2	0	1	0	2	17	1	0	15	61	3	2	8.46	11	32	0	4	26
M	1	16	FALSE	Dép. sortant	cadsuppub	NI	DvptDurable	2	1	1	1	38	58	115	0	18	55	9	5	8.59	38	165	0	31	63
M	1	21	TRUE	Dép. sortant	collab	NG	Defense	5	24	27	8	4	22	22	0	4	6	29	11	10.4	366	449	0	173	156
M	0	16	FALSE	Ancr. local	cadsuppub	LREM	Finances	2	0	0	0	75	114	105	3	14	48	3	3	7.93	2	245	0	33	123
M	1	19	TRUE	Dép. sortant	collab	LR	Lois	1	0	0	3	544	101	47	2	6	6	11	5	8.06	33	27	0	78	116
M	0	3	FALSE	Exp. Pol.	proflib	LREM	Finances	1	1	0	0	26	48	53	3	7	7	20	15	7.56	8	7	0	42	64
M	1	5	FALSE	Dép. sortant	proflib	LREM	Aff. Sociales	1	7	9	5	347	79	271	6	4	7	18	11	9.3	99	48	0	420	150
M	0	3	FALSE	2de carrière	proflib	LREM	Lois	1	5	4	2	9	53	3	0	2	2	18	12	8.87	52	16	0	32	386
M	0	22	FALSE	Ancr. local	cadsupprive	LREM	Aff. Cult. & Educ.	1	0	0	0	17	52	11	0	6	7	3	3	7.86	1	3	0	12	176
F	0	5	TRUE	Exp. Pol.	collab	LREM	DvptDurable	2	0	0	0	27	52	38	0	11	19	6	6	4.98	2	0	0	31	448
F	0	0	FALSE	Novices	artisancommercantpdg	LREM	affaires économiques	2	0	0	0	8	43	27	0	10	20	12	9	7.87	2	25	0	10	144
M	0	0	FALSE	Novices	cadsupprive	LREM	affaires économiques	1	0	0	0	28	63	3	2	10	19	8	6	8.06	1	8	0	11	289
M	0	0	FALSE	Novices	artisancommercantpdg	LREM	DvptDurable	1	0	0	0	7	83	8	0	11	26	1	1	0	5	2	0	3	297
M	2	19	TRUE	Dép. sortant	collab	LR	Defense	2	0	0	1	21	48	97	0	12	44	5	4	7.78	3	91	0	79	204
F	0	7	FALSE	Exp. Pol.	profinter	MODEM	Finances	1	0	0	0	21	56	20	0	6	10	0	0	7.44	2	21	0	24	192
F	0	5	FALSE	Exp. Pol.	employe	LREM	Defense	1	0	0	0	30	52	21	0	12	15	0	0	8.2	2	14	0	19	242
M	1	11	TRUE	Dép. sortant	cadsuppub	LR	Finances	4	0	0	0	168	85	464	3	18	46	2	2	8.12	17	1	0	399	150
M	0	21	TRUE	Ancr. local	collab	MODEM	Aff. Sociales	2	1	1	1	15	30	10	3	12	23	3	2	7.82	41	20	0	121	172
M	1	16	FALSE	Dép. sortant	artisancommercantpdg	LREM	Aff. Cult. & Educ.	1	0	0	0	20	48	17	0	17	34	12	8	8.76	15	195	0	3	50
M	0	2	FALSE	Exp. Pol.	proflib	NI	DvptDurable	1	0	0	0	73	45	281	0	12	19	0	0	7.78	16	3	0	58	78
M	0	9	FALSE	2de carrière	cadsuppub	LC	affaires économiques	2	0	0	1	250	109	108	2	13	44	11	6	7.74	11	47	0	138	243
M	1	5	FALSE	Dép. sortant	cadsuppub	LREM	Lois	1	0	0	1	105	96	149	1	16	52	5	5	8.47	21	191	0	68	166
F	0	0	FALSE	Exp. Pol.	cadsupprive	LREM	Lois	3	1	0	0	104	57	270	3	4	6	38	10	8.89	19	6	0	152	130
F	0	0	FALSE	Novices	cadsupprive	LREM	Finances	2	0	0	0	87	91	16	2	9	24	47	18	7.96	2	2	0	47	255
M	0	0	FALSE	Exp. Pol.	cadsuppub	MODEM	Aff. Cult. & Educ.	2	0	0	0	68	64	45	2	12	40	12	11	7.89	4	61	0	45	145
M	0	9	FALSE	2de carrière	cadsupprive	MODEM	affaires économiques	0	0	0	0	41	89	24	1	1	1	3	3	7.83	3	47	0	19	173
M	0	7	FALSE	Exp. Pol.	proflib	LREM	Defense	2	0	0	0	34	67	50	0	12	29	30	3	8.03	0	103	0	54	201
M	0	0	FALSE	Exp. Pol.	cadsuppub	LREM	Finances	1	0	0	0	25	68	3	2	4	4	7	6	0	1	120	0	11	121
M	0	13	TRUE	Carr. au Centre	collab	LC	Lois	3	0	0	0	46	35	45	0	6	8	1	1	0	6	3	0	74	124
M	3	28	FALSE	Dép. sortant	cadsupprive	LREM	Defense	1	0	0	1	7	21	7	0	13	38	6	3	8.52	12	13	0	30	36
M	1	31	TRUE	Dép. sortant	cadsuppub	LC	Aff. Etrangeres	2	0	0	2	6	23	20	1	7	15	0	0	7.87	31	11	0	60	54
M	2	26	FALSE	Dép. sortant		LR	Lois	3	2	4	2	230	76	210	1	14	27	6	6	9.43	65	189	0	222	159
M	0	9	FALSE	2de carrière	cadsupprive	LREM	affaires économiques	0	0	0	0	21	46	7	0	14	28	3	3	7.77	6	101	0	7	213
M	0	0	FALSE	Exp. Pol.	cadsupprive	MODEM	Lois	1	0	0	1	66	64	40	0	10	21	5	4	7.36	16	74	0	102	149
M	0	13	TRUE	Carr. au Centre	collab	MODEM	Defense	0	4	0	0	52	70	0	1	2	5	11	5	8.1	2	1	0	19	229
M	2	22	FALSE	Dép. sortant	cadsupprive	LC	Finances	4	3	0	5	468	121	188	6	7	17	18	8	7	45	35	0	355	213
M	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Cult. & Educ.	1	0	1	0	9	51	5	0	2	2	8	6	8.22	3	7	0	16	304
M	0	0	FALSE	Exp. Pol.	artisancommercantpdg	LREM	Aff. Etrangeres	2	0	0	0	53	84	26	1	1	1	9	5	7.52	3	2	0	23	302
M	0	16	FALSE	Ancr. local	collab	LR	Aff. Etrangeres	2	0	0	0	69	112	131	1	12	50	0	0	7.74	9	9	0	91	287
M	0	10	TRUE	Carr. au Centre	cadsupprive	GDR	Aff. Sociales	6	0	0	7	407	96	392	3	13	31	14	10	7.85	111	34	0	498	341
M	0	5	TRUE	Carr. au Centre	collab	LR	Aff. Etrangeres	3	1	2	4	63	66	95	1	14	23	2	2	9.02	39	123	0	430	322
M	0	1	FALSE	Carr. au Centre	cadsuppub	LREM	Aff. Cult. & Educ.	1	0	0	0	9	54	0	1	6	10	16	7	7.66	4	96	0	10	259
M	3	31	TRUE	Dép. sortant	collab	LC	Lois	5	0	0	2	49	66	107	1	11	47	0	0	8.18	15	161	0	42	108
M	0	0	FALSE	Exp. Pol.	cadsupprive	LREM	Finances	1	9	3	4	8	34	0	2	0	0	25	9	9.78	91	29	0	20	253
M	0	21	TRUE	Carr. au Centre	collab	LR	DvptDurable	3	0	0	0	10	51	73	0	13	27	2	2	0	2	10	0	36	202
M	0	12	TRUE	Carr. au Centre	collab	LC	Aff. Cult. & Educ.	5	9	7	2	52	50	61	1	14	32	35	12	7.7	51	39	0	111	206
M	0	6	TRUE	Carr. au Centre	collab	LREM	Defense	2	3	0	1	59	80	5	3	4	10	3	2	8.8	39	11	0	29	210
F	0	7	FALSE	Exp. Pol.	proflib	LREM	Aff. Cult. & Educ.	2	0	0	0	5	15	10	0	7	8	0	0	0	11	14	0	9	181
M	0	0	FALSE	Novices	proflib	LREM	Lois	2	0	0	2	212	81	106	4	3	6	28	9	7.46	14	84	0	268	220
M	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Cult. & Educ.	1	0	0	0	64	61	20	3	8	20	19	12	7.55	3	90	0	38	368
M	0	2	TRUE	Carr. au Centre	collab	LR	Lois	2	0	0	1	150	87	123	0	13	27	4	3	6.8	7	3	0	314	195
M	2	19	TRUE	Dép. sortant	cadsuppub	NG	Aff. Cult. & Educ.	1	2	0	2	89	90	47	1	17	54	34	12	7.17	74	144	0	108	104
M	2	33	FALSE	Dép. sortant	agri	LR	affaires économiques	1	0	0	0	28	67	15	1	11	21	0	0	0	1	70	0	14	87
M	0	26	TRUE	Ancr. local	collab	LREM	Lois	2	0	0	0	101	100	122	0	12	37	5	5	7.06	8	190	0	144	460
M	1	22	TRUE	Dép. sortant	cadsupprive	LREM	Defense	4	13	15	7	227	32	45	1	13	30	26	13	10.9	395	657	1	435	166
M	0	7	FALSE	Exp. Pol.	cadsuppub	LREM	affaires économiques	3	0	0	1	447	77	309	2	0	0	2	2	7.55	10	15	0	308	397
M	0	9	FALSE	2de carrière	cadsupprive	MODEM	affaires économiques	3	1	1	4	102	60	44	0	2	4	2	2	7.23	7	29	0	100	228
M	0	1	FALSE	Carr. au Centre	cadsuppub	LR	Lois	3	5	1	5	138	70	110	1	6	11	9	5	9.19	41	77	0	102	170
M	0	7	FALSE	2de carrière	cadsupprive	LREM	Aff. Etrangeres	1	0	0	0	30	63	0	2	12	19	4	4	7.96	8	17	0	7	217
M	0	0	FALSE	Novices	cadsupprive	LREM	affaires économiques	1	0	0	0	529	140	1	0	3	4	20	10	8.88	22	14	0	88	253
M	0	6	TRUE	2de carrière	artisancommercantpdg	LREM	Finances	1	0	0	0	13	77	0	2	17	57	14	11	7.89	9	112	0	16	91
F	0	0	FALSE	Novices	cadsuppub	LFI	Aff. Cult. & Educ.	5	0	0	0	110	55	184	0	11	21	26	11	8.91	9	2	0	224	251
F	0	0	FALSE	Novices	artisancommercantpdg	LREM	Defense	2	0	0	0	193	103	14	1	7	13	0	0	8.19	2	17	0	30	108
M	0	0	FALSE	Novices	proflib	LREM	Lois	1	13	2	4	79	77	58	3	10	13	5	5	9.93	94	199	0	467	348
M	0	3	FALSE	Exp. Pol.	cadsuppub	LREM	Finances	1	1	0	0	23	75	5	2	5	7	31	17	8.05	10	5	0	43	204
F	0	0	FALSE	Novices	cadsuppub	LREM	Aff. Etrangeres	1	0	0	0	20	30	17	2	6	19	6	5	8.03	6	3	0	11	104
F	0	3	FALSE	Exp. Pol.	cadsuppub	LREM	DvptDurable	1	0	0	0	107	58	46	2	6	9	4	3	8.32	3	45	0	32	385
F	0	3	FALSE	Exp. Pol.	profinter	LREM	DvptDurable	1	0	0	0	36	84	0	0	7	13	2	2	7.85	2	11	0	6	118
F	0	0	FALSE	Novices	agri	LREM	DvptDurable	2	0	0	1	60	82	52	0	7	14	0	0	8.37	9	34	0	18	224
F	0	0	FALSE	2de carrière	cadsupprive	LREM	Aff. Cult. & Educ.	1	0	0	0	64	73	26	0	1	1	14	11	7.69	1	3	0	39	285
F	0	0	FALSE	Exp. Pol.	cadsupprive	MODEM	Finances	3	0	0	1	114	152	62	2	17	26	11	8	8.39	4	29	0	117	336
M	0	7	TRUE	2de carrière	profinter	LREM	affaires économiques	1	0	0	0	19	70	9	0	12	33	0	0	7.77	1	75	0	10	179
M	0	19	TRUE	Carr. au Centre	collab	NI	Aff. Sociales	1	33	12	8	12	50	86	0	10	23	6	3	9.25	100	136	0	277	196
M	3	15	FALSE	Dép. sortant	proflib	LR	Lois	2	2	0	3	46	60	88	0	10	27	0	0	9.89	8	54	0	149	199
M	0	21	TRUE	Ancr. local	collab	GDR	affaires économiques	6	1	2	8	332	60	213	1	11	19	6	6	8.93	88	311	0	675	349
M	0	15	FALSE	Ancr. local	profinter	LR	affaires économiques	2	0	0	0	24	56	68	0	15	48	0	0	6.48	3	129	0	33	131
M	0	0	FALSE	Exp. Pol.	cadsuppub	LREM	Aff. Etrangeres	1	0	0	0	14	47	17	0	13	26	1	1	8.54	6	5	0	19	116
F	0	3	FALSE	Exp. Pol.	proflib	LREM	Defense	2	0	0	0	29	62	4	0	4	6	0	0	7.85	0	1	0	18	259
M	2	25	FALSE	Dép. sortant	cadsuppub	NG	affaires économiques	3	0	0	0	98	37	50	2	3	4	11	5	8.62	5	2	0	190	162
F	0	3	FALSE	Exp. Pol.	profinter	LREM	Defense	2	0	0	0	91	79	8	0	18	49	1	1	7.15	1	22	0	31	314
F	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Etrangeres	1	0	0	0	8	32	2	0	10	14	0	0	8.2	3	16	0	18	140
F	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Etrangeres	1	2	2	1	40	76	10	0	3	3	5	2	8.89	39	42	0	59	153
F	0	9	FALSE	2de carrière	cadsupprive	LC	DvptDurable	6	1	0	5	76	76	47	2	14	38	1	1	9.22	4	40	0	163	245
F	0	0	FALSE	Novices	profinter	LREM	affaires économiques	2	0	0	0	22	109	7	0	8	9	8	6	7.92	1	0	0	12	410
F	1	9	FALSE	Dép. sortant	artisancommercantpdg	LREM	affaires économiques	0	1	0	1	61	47	0	1	0	0	9	8	8.53	23	49	0	2	125
F	0	16	FALSE	Ancr. local		MODEM	Aff. Cult. & Educ.	2	0	0	0	49	65	14	1	8	11	2	2	6.29	3	15	0	35	385
F	0	0	FALSE	Novices	artisancommercantpdg	LREM	DvptDurable	2	0	0	0	46	69	6	1	15	35	33	17	0	1	55	0	16	143
M	0	0	FALSE	Exp. Pol.	cadsupprive	LREM	Finances	2	14	11	5	502	95	275	5	2	2	74	23	9.64	105	44	0	388	299
F	0	16	FALSE	Ancr. local	proflib	LREM	Finances	1	0	0	0	62	100	23	3	3	3	11	6	7.81	11	21	0	78	349
M	0	9	FALSE	Carr. au Centre	cadsupprive	LREM	DvptDurable	1	0	0	0	17	65	6	0	6	8	3	2	7.82	2	81	0	7	367
M	1	15	TRUE	Dép. sortant	collab	LREM	Aff. Cult. & Educ.	0	0	0	0	16	37	1	0	1	1	0	0	6.61	3	0	0	5	130
M	3	28	FALSE	Dép. sortant	cadsupprive	LC	Defense	4	0	0	0	15	27	8	0	12	43	5	3	0	13	16	1	21	35
M	0	9	FALSE	2de carrière	proflib	LREM	Lois	1	0	0	0	56	83	16	2	4	7	2	2	7.55	6	114	0	36	270
M	0	23	TRUE	Ancr. local	collab	GDR	Lois	5	6	1	7	443	67	561	0	16	34	0	0	8.5	83	76	0	574	458
M	0	3	FALSE	Exp. Pol.	profinter	LREM	Aff. Cult. & Educ.	3	0	0	0	65	69	22	0	17	53	2	2	0	2	10	0	45	241
M	0	0	FALSE	Exp. Pol.	profinter	LREM	Defense	1	0	0	0	20	52	56	0	5	8	0	0	8.72	3	37	0	9	90
M	0	11	FALSE	Ancr. local	proflib	LR	Aff. Sociales	1	0	0	1	144	96	62	2	18	42	13	8	7.17	3	12	0	209	196
F	0	0	FALSE	Exp. Pol.	cadsupprive	LREM	affaires économiques	1	0	0	0	56	43	94	1	9	14	17	13	7.77	3	5	0	27	170
F	0	0	FALSE	Exp. Pol.	cadsupprive	LREM	DvptDurable	2	0	0	0	32	92	13	0	7	12	2	2	8.17	2	18	0	14	183
F	0	0	FALSE	Novices	proflib	LREM	Aff. Cult. & Educ.	2	0	0	0	57	60	2	0	8	14	4	2	8.2	0	1	0	12	234
M	0	3	FALSE	Exp. Pol.	artisancommercantpdg	LREM	Aff. Sociales	3	21	9	9	104	76	69	0	8	11	56	14	9.61	63	50	0	102	395
M	0	9	FALSE	2de carrière	profinter	MODEM	Aff. Etrangeres	3	0	0	4	49	66	108	3	10	17	1	1	7.58	14	11	1	1142	168
F	2	15	TRUE	Dép. sortant	collab	NI	Finances	1	0	0	1	12	40	169	0	6	7	1	1	10.2	21	33	0	61	387
F	0	0	FALSE	Novices	cadsuppub	LREM	Aff. Cult. & Educ.	2	0	0	1	114	55	20	1	3	3	16	10	7.99	2	5	0	42	339
M	0	8	FALSE	Carr. au Centre	cadsupprive	LR	Defense	2	0	0	0	522	156	553	0	15	52	3	2	7.46	11	91	0	712	438
M	2	26	FALSE	Dép. sortant	profinter	LC	affaires économiques	5	0	0	1	256	71	219	0	8	23	1	1	7.87	5	97	0	242	313
M	0	0	FALSE	Novices	cadsupprive	LREM	Aff. Sociales	2	0	0	0	68	96	5	3	1	1	23	16	8.11	3	6	0	21	272
M	1	21	TRUE	Dép. sortant	collab	LC	Aff. Cult. & Educ.	0	24	17	2	0	10	0	0	5	12	3	2	10.2	252	337	0	6	52
M	0	3	FALSE	2de carrière	artisancommercantpdg	LREM	Defense	1	0	0	0	54	53	3	2	0	0	0	0	7.85	3	68	0	6	82
M	0	0	FALSE	Novices	proflib	LREM	Aff. Sociales	2	0	0	0	59	86	33	1	5	12	43	12	8.77	30	201	0	61	374
M	0	15	TRUE	Carr. au Centre	collab	LREM	Lois	2	0	0	0	17	62	11	0	10	14	3	3	7.82	3	70	0	69	303
F	0	0	FALSE	Novices	cadsupprive	LREM	Lois	0	0	0	0	22	65	28	1	14	45	3	3	7.73	8	3	0	32	213
M	0	0	FALSE	Exp. Pol.	cadsuppub	LFI	Lois	5	14	14	6	417	79	393	0	10	25	9	5	9.24	89	66	0	702	229
F	0	0	FALSE	Novices	profinter	LREM	affaires économiques	1	0	0	0	14	50	9	1	4	8	0	0	7.53	1	22	0	3	169
F	0	3	FALSE	Exp. Pol.	profinter	LR	Aff. Cult. & Educ.	1	0	0	0	33	55	191	0	15	60	1	1	7.37	1	1	0	51	195
F	0	28	TRUE	Carr. au Centre	collab	LR	DvptDurable	3	0	0	0	37	63	76	0	16	52	0	0	6.98	2	0	0	63	307
F	2	16	FALSE	Dép. sortant	cadsuppub	LR	Aff. Etrangeres	2	9	5	1	73	43	122	0	8	19	0	0	11	25	16	0	167	147
F	0	0	FALSE	Novices	cadsuppub	LREM	Aff. Cult. & Educ.	1	0	0	0	13	50	9	1	9	12	2	2	7.52	2	5	0	9	221
F	1	9	FALSE	Dép. sortant	cadsuppub	LR	Finances	2	1	0	2	26	49	152	0	17	49	30	16	8.42	3	4	0	114	207
F	0	0	FALSE	Novices	cadsupprive	LREM	affaires économiques	2	0	0	0	21	70	6	1	6	8	5	4	8.32	4	15	0	6	366
F	0	0	FALSE	Novices	cadsuppub	LREM	Aff. Sociales	1	0	0	0	23	70	20	1	9	9	6	4	7.9	5	12	0	10	196
F	1	5	FALSE	Dép. sortant	cadsupprive	NG	Finances	8	9	3	8	166	86	388	2	14	31	9	7	9.4	90	54	0	667	338
F	0	8	TRUE	2de carrière	collab	LREM	Aff. Etrangeres	1	0	0	0	9	58	0	0	3	5	0	0	7.19	1	0	0	10	390
F	0	3	FALSE	Exp. Pol.	cadsuppub	LREM	affaires économiques	1	0	0	0	28	90	10	0	4	7	2	2	8.17	1	20	0	21	346
F	1	16	FALSE	Dép. sortant	cadsupprive	LR	Finances	3	0	0	3	341	121	644	2	14	47	15	7	8.01	7	139	0	508	291
F	0	0	FALSE	Novices	profinter	LREM	DvptDurable	1	0	0	0	45	76	26	0	6	8	26	10	7.96	0	0	0	19	230
M	0	22	FALSE	Ancr. local	cadsuppub	MODEM	Lois	2	0	0	1	75	71	32	2	11	21	12	9	7.84	6	111	0	37	196
M	1	29	FALSE	Dép. sortant	cadsuppub	LR	DvptDurable	2	0	0	1	122	78	491	1	15	44	3	1	7.3	15	17	0	245	301
M	1	22	FALSE	Dép. sortant	cadsuppub	LC	Finances	6	0	0	0	9	40	29	2	5	19	6	5	8.46	5	55	0	59	61
M	1	19	FALSE	Dép. sortant	collab	LR	affaires économiques	1	0	0	0	66	71	231	1	12	28	0	0	6.47	2	0	0	58	160
M	0	0	FALSE	Novices	profinter	LREM	DvptDurable	1	0	0	0	45	79	28	0	4	6	1	1	7.89	2	0	0	33	430
F	1	13	TRUE	Dép. sortant	collab	LR	Aff. Cult. & Educ.	3	8	1	5	48	71	31	1	15	45	2	2	9.4	31	16	0	58	83
M	0	0	FALSE	Novices	cadsupprive	LREM	Defense	1	0	0	0	14	57	10	0	8	13	2	1	8.14	3	106	0	6	186
M	2	26	TRUE	Dép. sortant	collab	LR	Lois	0	2	0	4	56	84	174	0	12	22	2	1	8.91	13	94	0	76	143
M	0	3	FALSE	Exp. Pol.	profinter	LREM	Finances	2	0	0	0	39	88	7	1	16	34	0	0	8.06	2	13	0	31	260
M	0	3	FALSE	Exp. Pol.	artisancommercantpdg	LREM	Finances	1	0	0	0	28	78	47	2	9	15	16	8	7.37	0	1	0	43	304
F	0	0	FALSE	Novices	proflib	LREM	Lois	1	3	3	3	706	164	53	8	6	6	27	6	9.32	109	74	0	259	296
M	3	29	TRUE	Dép. sortant	collab	LC	Defense	3	0	0	0	59	66	10	0	13	55	1	1	9.03	1	0	0	42	122
M	0	20	FALSE	Ancr. local	proflib	LREM	DvptDurable	1	0	0	0	96	76	7	1	14	38	3	3	7.53	1	71	0	18	133
M	0	9	FALSE	2de carrière	profinter	LREM	Aff. Cult. & Educ.	2	0	0	0	30	63	11	1	6	7	15	7	6.81	2	285	0	10	461
F	0	3	FALSE	Exp. Pol.	artisancommercantpdg	LREM	DvptDurable	3	0	0	0	16	88	9	0	8	14	14	8	3.87	0	21	0	3	182
M	1	26	TRUE	Dép. sortant	cadsupprive	LREM	affaires économiques	2	0	0	2	17	51	6	1	8	13	13	7	8.15	13	43	0	13	109
M	1	33	FALSE	Dép. sortant	agri	LREM	affaires économiques	1	0	0	0	36	96	49	0	10	17	1	1	7.43	7	228	0	15	132
F	0	0	FALSE	Novices	cadsupprive	LREM	DvptDurable	1	0	0	0	37	67	5	1	3	3	11	10	7.5	2	3	0	14	333

pca

tic()
r = sommets |> select(where(is.numeric)) |> pca()
toc()

0.011 sec elapsed

screeplot

screeplot(r)

Nouveau jeu de données

augment(r)

             F1           F2 label supplementary        mass          sum
1   -1.43542646 -0.134846974     1         FALSE 0.001757469 2.078633e+00
2    5.63522618  0.802807323     2         FALSE 0.001757469 3.240027e+01
3   -0.17072380 -1.461893474     3         FALSE 0.001757469 2.166279e+00
4   -0.04904384 -0.053648603     4         FALSE 0.001757469 5.283470e-03
5   -1.24143140 -0.040764459     5         FALSE 0.001757469 1.542814e+00
6   -1.73728468 -0.562875471     6         FALSE 0.001757469 3.334987e+00
7    0.18539225  0.785822856     7         FALSE 0.001757469 6.518878e-01
8   -0.01893885  1.527549523     8         FALSE 0.001757469 2.333766e+00
9   -0.15560378 -0.809685119     9         FALSE 0.001757469 6.798025e-01
10  -0.55458740 -1.630992185    10         FALSE 0.001757469 2.967703e+00
11   0.06651025  0.974625992    11         FALSE 0.001757469 9.543194e-01
12  -1.16423220 -2.624194007    12         FALSE 0.001757469 8.241831e+00
13  -1.57944132 -1.077350679    13         FALSE 0.001757469 3.655319e+00
14  -1.28414921  1.844564959    14         FALSE 0.001757469 5.051459e+00
15  -0.99105630 -0.717689387    15         FALSE 0.001757469 1.497271e+00
16  -0.93637087 -1.872766260    16         FALSE 0.001757469 4.384044e+00
17   7.83579294  1.250954335    17         FALSE 0.001757469 6.296454e+01
18  -1.46419080 -1.556537909    18         FALSE 0.001757469 4.566665e+00
19  -2.10570214  0.143799349    19         FALSE 0.001757469 4.454660e+00
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357 3.553424e-01 0.3029997968
358 4.824553e-01 0.3926744486
359 2.515547e-01 0.2852474525
360 3.439042e-01 0.1140877513
361 1.391073e+00 0.6288891047
362 1.673995e+00 0.3853533243
363 2.719046e-01 0.3090972905
364 2.343623e+00 0.5395416813
365 2.038525e-01 0.0760296115
366 2.875962e-01 0.1689738902
367 3.807132e-01 0.5698157821
368 2.723767e-01 0.0816590332
369 1.235081e+00 0.3008820614
370 4.301880e-01 0.2679053948
371 2.083594e+01 0.5177551944
372 7.473420e-01 0.4345073098
373 6.177165e-01 0.5159837827
374 2.661428e+00 0.4776851533
375 6.765387e-01 0.4492476055
376 5.887758e-01 0.5317411507
377 2.112829e-01 0.0901934828
378 1.284027e+00 0.4674042570
379 3.209283e-01 0.2621138404
380 4.843300e+00 0.4047944852
381 5.410447e-01 0.5981137138
382 3.593609e-01 0.3388459671
383 1.781753e-01 0.0787489371
384 1.540224e-01 0.0459968104
385 2.759214e-01 0.2958509344
386 3.732086e-01 0.1845827182
387 1.418934e+00 0.3304720899
388 5.198643e-02 0.0364133960
389 2.315781e-01 0.1960648232
390 4.211693e-01 0.2458960318
391 1.225242e+00 0.4699283352
392 7.316056e-01 0.3679684943
393 1.637786e-01 0.1603911163
394 7.085047e-01 0.3612747030
395 1.869075e+00 0.5148283037
396 6.696802e-01 0.4128226892
397 9.866663e-01 0.6463883380
398 5.692914e-01 0.5832462114
399 3.186980e-01 0.1163100297
400 1.168365e+00 0.5496382232
401 1.129744e+00 0.7774597363
402 2.730895e-02 0.0107234685
403 7.231493e-01 0.4075162878
404 4.696866e-01 0.2756760478
405 7.723428e-01 0.5445976778
406 3.800628e-01 0.3410640496
407 2.394991e+00 0.4770177258
408 1.103422e+00 0.3686024370
409 1.385336e+00 0.6846689083
410 1.145647e+00 0.8353061493
411 3.954965e-01 0.4196127173
412 9.027011e-02 0.0840321961
413 7.515535e-01 0.3615423281
414 3.291143e-01 0.2144442681
415 1.071785e+01 0.5649290129
416 8.826724e-01 0.2225370001
417 8.605723e-02 0.0521487975
418 8.165053e-01 0.4613024163
419 3.856725e-01 0.2626532870
420 1.072511e+00 0.3605462965
421 7.032921e-01 0.4634532918
422 3.140042e-01 0.4179012760
423 3.215011e+00 0.4435245051
424 4.382816e-01 0.2779419313
425 3.662833e-01 0.2992240897
426 4.325845e+00 0.6896222114
427 1.364873e+00 0.5713117932
428 1.305859e+01 0.6213203599
429 2.023893e-01 0.0701073969
430 2.905013e-01 0.0802029460
431 3.906283e-01 0.1707096574
432 3.539980e+00 0.5506489162
433 8.627150e-01 0.3943904512
434 4.345125e-01 0.4040764639
435 3.938681e-01 0.2683965640
436 2.082562e-01 0.2109167438
437 4.458706e-01 0.5178046816
438 8.860009e-01 0.3590830142
439 8.241168e-01 0.6719252108
440 5.330235e-01 0.5697657692
441 5.003773e-01 0.4910730367
442 6.120275e-01 0.1200094353
443 2.169002e-01 0.1556565795
444 7.816178e-01 0.3546653233
445 3.624795e-01 0.1876763855
446 4.491651e-02 0.0288893883
447 2.886172e-01 0.1380005084
448 7.281046e-01 0.2764886549
449 1.148084e+00 0.3679453059
450 3.668907e-02 0.0302037440
451 6.267424e-01 0.4192384828
452 6.086488e-02 0.0733381375
453 5.530229e-01 0.2185291720
454 7.462043e-01 0.3022815850
455 2.061540e+00 0.6514679974
456 8.444218e-01 0.3938030910
457 1.392598e+00 0.6046181090
458 4.829324e-01 0.3762754226
459 1.297034e-01 0.2249528011
460 4.896386e-01 0.4035283011
461 1.907131e+00 0.2825156549
462 7.837748e-01 0.5368631284
463 1.017068e+00 0.7830101326
464 1.584352e-01 0.0857054608
465 2.877531e+00 0.3734245714
466 2.495106e-01 0.1499651181
467 3.878972e-01 0.4474194571
468 2.034898e+00 0.5669467239
469 9.752696e-01 0.3294529790
470 9.760600e-01 0.4183268448
471 7.892921e-01 0.2853529976
472 2.925452e-01 0.2755672664
473 1.069673e+00 0.3662455557
474 1.292270e+00 0.5792621673
475 6.777212e-01 0.3956268712
476 1.878911e-02 0.0185364308
477 7.309220e-01 0.2278368442
478 1.653247e+00 0.5069982902
479 3.095424e-02 0.0126824180
480 1.733248e+01 0.6528125894
481 1.008089e+00 0.2324870301
482 9.237645e-02 0.0817145787
483 3.442407e-01 0.3197338423
484 2.861072e-01 0.4068013716
485 1.923680e+00 0.3802008473
486 1.468657e-01 0.0559138811
487 1.635300e-01 0.0739319057
488 3.180814e-01 0.2252084090
489 1.471656e+00 0.4167172278
490 1.066362e+00 0.4530522429
491 3.654635e-01 0.2701327166
492 5.460908e-01 0.4856908481
493 4.839095e-01 0.4873571996
494 2.742619e-01 0.3348111277
495 1.117615e+00 0.6664826774
496 4.391380e-01 0.1347934539
497 5.282745e-01 0.5146925519
498 4.011354e+00 0.4118274909
499 5.541777e-01 0.3558795658
500 3.430487e+00 0.4454507346
501 1.103729e+00 0.6418511072
502 5.942571e-01 0.4360750211
503 5.924455e-01 0.5193897267
504 3.081298e-02 0.0177870153
505 3.968859e-01 0.1949545499
506 6.468889e-01 0.4354472838
507 2.415420e-01 0.2121007157
508 1.523428e-01 0.0527193439
509 8.694228e-01 0.5080812076
510 2.618783e-01 0.1525917403
511 3.424537e-01 0.3665759817
512 1.080189e-01 0.0277270926
513 1.122931e+01 0.8236426707
514 8.412018e-01 0.4998233327
515 4.229083e-01 0.3861101959
516 7.664828e-01 0.3533265790
517 3.473605e+00 0.3111881362
518 3.579746e-01 0.3655722395
519 3.052446e+00 0.2959205409
520 8.604548e-01 0.2673601746
521 4.755304e-01 0.3360416744
522 3.176235e-03 0.0018239589
523 2.798975e-01 0.2089823500
524 4.277132e-01 0.4589285770
525 4.247868e-01 0.5478457400
526 4.605281e+00 0.5887214625
527 1.213432e+00 0.0934516261
528 9.668463e-02 0.0504338178
529 9.431790e-01 0.7042235195
530 9.796572e-01 0.0844361543
531 3.846468e-01 0.1402668037
532 2.056824e+00 0.6999713444
533 3.999944e+00 0.3443349777
534 5.121572e-01 0.2602812803
535 1.049790e+00 0.4064317944
536 2.053951e-01 0.3309882272
537 4.143844e-01 0.2637486327
538 5.250861e+00 0.5884024102
539 6.209269e-01 0.4909230347
540 6.833489e-01 0.2904467990
541 9.247301e-01 0.3828318511
542 4.635856e-01 0.2631600453
543 5.241945e-01 0.5819484582
544 1.216954e-01 0.0418450468
545 6.667851e-01 0.6418789842
546 4.463576e-01 0.6299870941
547 4.103629e+00 0.4416650944
548 7.881555e-01 0.4619192168
549 7.536581e-01 0.5602166371
550 1.709355e+00 0.1998598463
551 6.866841e-01 0.5616750630
552 1.052431e-03 0.0014365049
553 6.774727e-01 0.1563068344
554 2.235667e-01 0.0828376889
555 5.078273e-01 0.3966564917
556 9.201712e-01 0.5113573009
557 6.632645e-01 0.3145592648
558 3.667004e-01 0.3685548388
559 5.572916e-01 0.2740908053
560 3.240261e-01 0.2334559139
561 5.389104e-01 0.6449755608
562 5.316342e+00 0.4116686294
563 1.842110e+00 0.5977792161
564 4.319151e-01 0.3837701032
565 2.415238e-01 0.0974559794
566 3.416564e-01 0.3007949590
567 1.290434e-01 0.1331868699
568 5.955409e-01 0.2573531375
569 1.100159e+00 0.7613149031

Variables

viz_variables(r)

Nuage des individus (groupe)

viz_individuals(r, extra_quali = sommets$groupe.sigle)

Nuage des individus (genre)

viz_individuals(r, extra_quali = sommets$sexe)

Limites

• Peu adaptée pour les matrices/dataframe “creux” (nombreuses valeurs nulles)
• Sensible aux valeurs extrêmes/individus singuliers/outliers.

Multidimensional scaling

Principe

• Projette les observations dans un espace (généralement à deux dimensions) tel que les distances initiales soient au maximum préservées.
• Fonctions : cmdscale ou dimensio::pcoa
• Argument principal : une matrice de distances
• 2e argument important : le nombre de dimensions à conserver
• Retourne une matrice contenant les coordonnées choisies pour représenter au mieux les distances.
• Version métrique (classique) et non-métrique

Mise en garde

Les calculs sont très lents par rapport aux autres méthodes de réduction de la dimensionnalité. En pratique, MDS est inutilisable dès que les données dépassent quelques milliers d’observations.

Matrice de similarités

	Brazil	Congo	Cuba	Egypt	France	India	Israel	Japan	China	USSR	USA	Yugoslavia
Brazil	9	4.83	5.28	3.44	4.72	4.5	3.83	3.5	2.39	3.06	5.39	3.17
Congo	4.83	9	4.56	5	4	4.83	3.33	3.39	4	3.39	2.39	3.5
Cuba	5.28	4.56	9	5.17	4.11	4	3.61	2.94	5.5	5.44	3.17	5.11
Egypt	3.44	5	5.17	9	4.78	5.83	4.67	3.83	4.39	4.39	3.33	4.28
France	4.72	4	4.11	4.78	9	3.44	4	4.22	3.67	5.06	5.94	4.72
India	4.5	4.83	4	5.83	3.44	9	4.11	4.5	4.11	4.5	4.28	4
Israel	3.83	3.33	3.61	4.67	4	4.11	9	4.83	3	4.17	5.94	4.44
Japan	3.5	3.39	2.94	3.83	4.22	4.5	4.83	9	4.17	4.61	6.06	4.28
China	2.39	4	5.5	4.39	3.67	4.11	3	4.17	9	5.72	2.56	5.06
USSR	3.06	3.39	5.44	4.39	5.06	4.5	4.17	4.61	5.72	9	5	6.67
USA	5.39	2.39	3.17	3.33	5.94	4.28	5.94	6.06	2.56	5	9	3.56
Yugoslavia	3.17	3.5	5.11	4.28	4.72	4	4.44	4.28	5.06	6.67	3.56	9

Matrice de distances

	Brazil	Congo	Cuba	Egypt	France	India	Israel	Japan	China	USSR	USA	Yugoslavia
Brazil	0	17.4	13.8	30.9	18.3	20.2	26.7	30.2	43.7	35.3	13	34
Congo	17.4	0	19.7	16	25	17.4	32.1	31.5	25	31.5	43.7	30.2
Cuba	13.8	19.7	0	14.7	23.9	25	29.1	36.7	12.2	12.7	34	15.1
Egypt	30.9	16	14.7	0	17.8	10	18.7	26.7	21.3	21.3	32.1	22.3
France	18.3	25	23.9	17.8	0	30.9	25	22.8	28.4	15.5	9.36	18.3
India	20.2	17.4	25	10	30.9	0	23.9	20.2	23.9	20.2	22.3	25
Israel	26.7	32.1	29.1	18.7	25	23.9	0	17.4	36	23.3	9.36	20.8
Japan	30.2	31.5	36.7	26.7	22.8	20.2	17.4	0	23.3	19.3	8.64	22.3
China	43.7	25	12.2	21.3	28.4	23.9	36	23.3	0	10.8	41.5	15.5
USSR	35.3	31.5	12.7	21.3	15.5	20.2	23.3	19.3	10.8	0	16	5.43
USA	13	43.7	34	32.1	9.36	22.3	9.36	8.64	41.5	16	0	29.6
Yugoslavia	34	30.2	15.1	22.3	18.3	25	20.8	22.3	15.5	5.43	29.6	0

Calcul

mds = cmdscale(d, k = 2) |> 
  as.data.frame() |> 
  rownames_to_column(var = "country")
mds

      country          V1          V2
1      Brazil  11.7940239 -20.6563531
2       Congo -12.6095839 -16.9044300
3        Cuba -11.8004041  -6.9653484
4       Egypt  -7.8352324  -2.8751985
5      France   5.7213034  -0.3154787
6       India  -0.7658908  -4.6543479
7      Israel  11.6166243   3.1346365
8       Japan   8.9464991  10.4114280
9       China -20.1949962  10.9575146
10       USSR  -2.7441677  12.8663568
11        USA  23.8041400   4.7083218
12 Yugoslavia  -5.9323156  10.2928988

Représentation graphique

Représentation graphique

Représentation graphique

Self-organizing maps

Contexte

• Introduites dans cet article : Kohonen, Teuvo (1982). “Self-Organized Formation of Topologically Correct Feature Maps”. Biological Cybernetics. 43 (1): 59–69. doi:10.1007/bf00337288. S2CID 206775459
• Au croisement de trois champs : réseaux de neurones, réduction de la dimensionnalité, clustering.
• Implémentation : {kohonen} R package (entre autres)

Clustering

Agglomerative Hierarchical Clustering

Avantages et limites

• Prend en argument une matrice de distances.
• Avantage : on n’est pas limité à des variables numériques.
• Inconvénient : peut devenir infaisable pour les grands jeux de données.
• La classification elle-même peut être lente et gourmande en mémoire vive quand les données deviennent volumineuses.
• L’arbre de classification offre une aide précieuse pour choisir une partition et l’interpréter.

k-means

• Implémenté dans la fonction kmeans (chargée par défaut).
• Celle-ci prend en argument principal une matrice numérique ou un dataframe contenant uniquement des variables numériques.
• Garantit des classes plus homogènes que la classification ascendante hiérarchique.
• Beaucoup plus rapide lorsqu’il y a relativement peu de dimensions (c’est toujours souhaitable) et beaucoup d’individus.
• Ne nécessite pas le calcul d’une matrice de distance (calcul très lourd voir impossible pour des données massives).
• D’où son inconvénient majeur en sciences sociales : nécessite des données numériques.

Note

Par conséquent, la seule manière “propre” d’appliquer les k-means à des données catégorielles est de réaliser préalablement une Analyse des Correspondances Multiples (ACM).

k-medoids

• Au lieu de centroïdes on a des médoïdes.
• Centroïdes : dans chaque dimension, leur coordonnée est celle de la moyenne des points de leur groupe. Ce sont des points abstraits/fictifs, ils ne correspondent pas à des individus réels du jeu de données.
• Médoïdes : les individus tels que la somme des carrés des distances aux points du groupe est minimale. Des individus “représentatifs”. Ce sont des individus réels, existant dans le jeu de données.
• Avantages :
  • Robustesse face aux valeurs extrêmes.
  • On peut partir d’une matrice de distances.
• Inconvénients : les calculs sont beaucoup plus lourds/lents que pour les k-means.
• Implémentation : fonction pam de {cluster}.