Exemple d'utilisation du module genereteACP

import pandas as pd
from generateACP import acp_global
from IPython.display import display

### import des data de l'exemple

url = "https://kopadata.fr/data/burger.xlsx"
data = pd.read_excel(url, engine='openpyxl')
data

	ITEM	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size	Meat
0	BK__Double_Stacker	3.2370	1.8497	0.1734	0.2081	0.0867	0.6358	6.0116	0.1676	0.0058	0.0405	173	yes
1	BK_CHICKENFRIES(12pc)	2.9412	1.5294	0.1647	0.1706	0.0294	0.3235	9.5882	0.1882	0.0176	0.0059	170	yes
2	Buck_Double	2.5949	1.2658	0.1519	0.1392	0.0633	0.5380	4.6835	0.1772	0.0063	0.0380	158	yes
3	CHICKENTENDERS_Sandwich	3.0986	1.7606	0.0845	0.1972	0.0317	0.2465	4.2958	0.2465	0.0070	0.0282	142	yes
4	ChocolateFudgeSundae	1.6763	0.4046	0.0347	0.0462	0.0405	0.1156	1.3295	0.3064	0.0058	0.2601	173	no
5	DanishApple	3.6719	1.5625	0.0469	0.1719	0.0781	0.0391	4.0625	0.4844	0.0078	0.2266	128	no
6	Double_Cheeseburger	2.6316	1.3450	0.1520	0.1520	0.0702	0.5556	5.6140	0.1696	0.0058	0.0351	171	yes
7	Double_Hamburger	2.4658	1.0959	0.1507	0.1233	0.0548	0.4795	3.5616	0.1918	0.0068	0.0411	146	yes
8	Double_Bacon_Cheeseburger	2.8177	1.4917	0.1713	0.1657	0.0773	0.5801	6.3536	0.1602	0.0055	0.0387	181	yes
9	GardenSalad(nochicken)	0.4321	0.2160	0.0247	0.0247	0.0154	0.0617	0.6173	0.0432	0.0185	0.0123	162	no
10	KRAFT_MacaroniandCheese	1.4159	0.3982	0.0619	0.0442	0.0133	0.0885	3.0088	0.1947	0.0088	0.0442	113	no
11	MuffinBlueberry	3.6283	1.8584	0.0442	0.2035	0.0398	0.7522	3.5398	0.4248	0.0177	0.3097	113	no
12	Original_Chicken_Sandwichw/oMayo	2.2105	0.7368	0.1263	0.0842	0.0184	0.2368	6.3684	0.2421	0.0158	0.0211	190	yes
13	Rodeo_Cheeseburger	2.7344	1.2500	0.1250	0.1328	0.0547	0.3516	4.6875	0.2891	0.0156	0.0703	128	yes
14	SpicyCHICK_NCRISP_Sandwich	3.3824	1.9853	0.0956	0.2206	0.0368	0.2206	5.9559	0.2500	0.0147	0.0294	136	yes
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	2.6316	0.9649	0.1053	0.1053	0.0219	0.1754	5.8772	0.3070	0.0175	0.0351	114	yes
16	Tacos(2)	1.8966	1.1494	0.0805	0.1322	0.0460	0.1724	4.3103	0.1034	0.0287	0.0230	174	yes

### La variable d'observation est la variable "ITEM"
### On met donc cette variable en index

data = data.set_index("ITEM")
data

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size	Meat
ITEM
BK__Double_Stacker	3.2370	1.8497	0.1734	0.2081	0.0867	0.6358	6.0116	0.1676	0.0058	0.0405	173	yes
BK_CHICKENFRIES(12pc)	2.9412	1.5294	0.1647	0.1706	0.0294	0.3235	9.5882	0.1882	0.0176	0.0059	170	yes
Buck_Double	2.5949	1.2658	0.1519	0.1392	0.0633	0.5380	4.6835	0.1772	0.0063	0.0380	158	yes
CHICKENTENDERS_Sandwich	3.0986	1.7606	0.0845	0.1972	0.0317	0.2465	4.2958	0.2465	0.0070	0.0282	142	yes
ChocolateFudgeSundae	1.6763	0.4046	0.0347	0.0462	0.0405	0.1156	1.3295	0.3064	0.0058	0.2601	173	no
DanishApple	3.6719	1.5625	0.0469	0.1719	0.0781	0.0391	4.0625	0.4844	0.0078	0.2266	128	no
Double_Cheeseburger	2.6316	1.3450	0.1520	0.1520	0.0702	0.5556	5.6140	0.1696	0.0058	0.0351	171	yes
Double_Hamburger	2.4658	1.0959	0.1507	0.1233	0.0548	0.4795	3.5616	0.1918	0.0068	0.0411	146	yes
Double_Bacon_Cheeseburger	2.8177	1.4917	0.1713	0.1657	0.0773	0.5801	6.3536	0.1602	0.0055	0.0387	181	yes
GardenSalad(nochicken)	0.4321	0.2160	0.0247	0.0247	0.0154	0.0617	0.6173	0.0432	0.0185	0.0123	162	no
KRAFT_MacaroniandCheese	1.4159	0.3982	0.0619	0.0442	0.0133	0.0885	3.0088	0.1947	0.0088	0.0442	113	no
MuffinBlueberry	3.6283	1.8584	0.0442	0.2035	0.0398	0.7522	3.5398	0.4248	0.0177	0.3097	113	no
Original_Chicken_Sandwichw/oMayo	2.2105	0.7368	0.1263	0.0842	0.0184	0.2368	6.3684	0.2421	0.0158	0.0211	190	yes
Rodeo_Cheeseburger	2.7344	1.2500	0.1250	0.1328	0.0547	0.3516	4.6875	0.2891	0.0156	0.0703	128	yes
SpicyCHICK_NCRISP_Sandwich	3.3824	1.9853	0.0956	0.2206	0.0368	0.2206	5.9559	0.2500	0.0147	0.0294	136	yes
SpicyCHICK_NCRISP_Sandwichw/oMayo	2.6316	0.9649	0.1053	0.1053	0.0219	0.1754	5.8772	0.3070	0.0175	0.0351	114	yes
Tacos(2)	1.8966	1.1494	0.0805	0.1322	0.0460	0.1724	4.3103	0.1034	0.0287	0.0230	174	yes

### On va considérer que pour cet exemple :
###   - la variable "Serving_size" comme une variable quantitative illustrative
###   - la variable "Meat" comme une variable qualitative illustrative

### df variable quantitative illustrative
df_quant_illus = data[["Serving_size"]]

### df variable qualitative illustrative
df_qual_illus = data[["Meat"]]

### df variables explicatives
df = data.drop(columns=["Serving_size", "Meat"])

resultat_acp=acp_global(df=df, axis_ranks=[(0, 1), (2,3)], labels=True, labels_ind=None, varSupp=df_quant_illus, varSuppQual=df_qual_illus)

Analyse en composantes principales

1. Informations sur les données

1.1 Données initiales

Nombre d'individus : 17
Nombre de variables : 10

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar
count	17.0000	17.0000	17.0000	17.0000	17.0000	17.0000	17.0000	17.0000	17.0000	17.0000
mean	2.5569	1.2273	0.1055	0.1366	0.0458	0.3278	4.6980	0.2321	0.0121	0.0741
std	0.8383	0.5393	0.0509	0.0597	0.0233	0.2220	2.0794	0.1088	0.0067	0.0936
min	0.4321	0.2160	0.0247	0.0247	0.0133	0.0391	0.6173	0.0432	0.0055	0.0059
25%	2.2105	0.9649	0.0619	0.1053	0.0294	0.1724	3.5616	0.1696	0.0063	0.0282
50%	2.6316	1.2658	0.1053	0.1392	0.0405	0.2465	4.6835	0.1947	0.0088	0.0380
75%	3.0986	1.5625	0.1519	0.1719	0.0633	0.5380	5.9559	0.2891	0.0175	0.0442
max	3.6719	1.9853	0.1734	0.2206	0.0867	0.7522	9.5882	0.4844	0.0287	0.3097

1.2 Données centrées réduites

nombre de composantes calculées : 10

	Variables	Moyennes	Ecarts_types	Var_Exp	Prop_Var_Exp
0	Calories	-0.0000	1.0000	4.5274	0.4527
1	Fat_Cal	0.0000	1.0000	2.4455	0.2445
2	Protein	-0.0000	1.0000	1.4101	0.1410
3	Fat	0.0000	1.0000	0.6735	0.0674
4	Sat_Fat	0.0000	1.0000	0.4836	0.0484
5	Chol	0.0000	1.0000	0.3468	0.0347
6	Sodium	-0.0000	1.0000	0.0940	0.0094
7	Carbs	-0.0000	1.0000	0.0177	0.0018
8	Fiber	0.0000	1.0000	0.0012	0.0001
9	Sugar	0.0000	1.0000	0.0003	0.0000

La vérifiction de la somme des valeurs propres égale au nombre de variables s'est correctement déroulée

2. Recherche du nombre de facteurs à retenir

--------------------------------------------
|     Proportion de variance expliquée     |
--------------------------------------------

	Facteurs	Part variance expliquée
0	le 1er facteur	45.27%
1	les 2 1ers facteurs	69.73%
2	les 3 1ers facteurs	83.83%
3	les 4 1ers facteurs	90.56%
4	les 5 1ers facteurs	95.4%
5	les 6 1ers facteurs	98.87%
6	les 7 1ers facteurs	99.81%
7	les 8 1ers facteurs	99.99%
8	les 9 1ers facteurs	100.0%
9	les 10 1ers facteurs	100.0%

Si on recherche à expliquer au minimum 80% de la variance, il faut retenir les 3 1ers facteurs.

----------------------------------
|     Test des bâtons brisés     |
----------------------------------

	Val.Propre	Seuils
0	4.5274	2.9290
1	2.4455	1.9290
2	1.4101	1.4290
3	0.6735	1.0956
4	0.4836	0.8456
5	0.3468	0.6456
6	0.0940	0.4790
7	0.0177	0.3361
8	0.0012	0.2111
9	0.0003	0.1000

Selon le "test des bâtons brisés", les 3 premiers facteurs sont valides (car pour le facteur 4, la valeur du seuil est supérieure à la valeur propre).
--------------------------------------------------
Autre interprétation possible : 
plus la valeur propre initiale est élevée, plus le facteur explique une portion significative de la variance totale.Par convention, tout facteur avec une valeur propre initiale supérieure à 1 est considéré comme facteur significatif.
Ainsi, selon cette interprétation, les 3 premiers facteurs sont valides.

3. Représentation des individus

################################################################################
####               Coordonnées factorielles des individus                   ####
################################################################################

On affiche les coordonnées factorielles de 3 individus (random)

	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
ITEM
GardenSalad(nochicken)	5.1642	-0.8198	-0.2854	1.0558	-0.6561	0.2270	0.0461	-0.1255	0.0261	0.0080
DanishApple	-1.1749	3.4865	-0.0173	-1.2038	-0.9876	-1.0056	-0.0391	-0.1264	-0.0162	0.0033
Rodeo_Cheeseburger	-0.3609	0.1098	0.2119	0.0878	0.2258	-0.6122	-0.5672	0.0699	0.1138	-0.0033

################################################################################
####             Qualité de la représentation des individus                 ####
################################################################################

La qualité de représentation des individus sur les axes du plan factoriel.
Il s'agit de calculer le COS² de chaque individu pour chaque axe.
On affiche un random sur 3 individus de la mesure des COS²

	id	COS²_F1	COS²_F2	COS²_F3	COS²_F4	COS²_F5	COS²_F6	COS²_F7	COS²_F8	COS²_F9	COS²_F10
12	Original_Chicken_Sandwichw/oMayo	0.2938	0.1849	0.1537	0.1308	0.2306	0.0021	0.0033	0.0003	0.0001	0.0002
10	KRAFT_MacaroniandCheese	0.8965	0.0018	0.0181	0.0499	0.0026	0.0293	0.0003	0.0016	0.0000	0.0000
0	BK__Double_Stacker	0.7685	0.0861	0.1151	0.0152	0.0127	0.0015	0.0008	0.0000	0.0000	0.0000

La vérifiction de la somme des COS² égale à 1 pour tous les individus s'est correctement déroulée

################################################################################
####                  Contributions des individus aux axes                  ####
################################################################################

Elles permettent de déterminer les individus qui pèsent le plus dans la définition de chaque facteur.
On regarde quels sont les individus qui sont les plus contributifs et ce, pour les différents axes.
Pour chaque axe, on affiche les 10 individus qui contribuent le plus.

ind CTR_F1 9 GardenSalad(nochicken) 34.65% 10 KRAFT_MacaroniandCheese 14.32% 0 BK__Double_Stacker 12.71% 4 ChocolateFudgeSundae 10.71% 8 Double_Bacon_Cheeseburger 5.77% 11 MuffinBlueberry 4.26% 14 SpicyCHICK_NCRISP_Sandwich 2.85% 16 Tacos(2) 2.73% 6 Double_Cheeseburger 2.63% 1 BK_CHICKENFRIES(12pc) 2.43%

ind CTR_F2 5 DanishApple 29.24% 11 MuffinBlueberry 28.58% 4 ChocolateFudgeSundae 14.58% 1 BK_CHICKENFRIES(12pc) 8.08% 8 Double_Bacon_Cheeseburger 4.12% 6 Double_Cheeseburger 2.82% 0 BK__Double_Stacker 2.63% 16 Tacos(2) 2.36% 12 Original_Chicken_Sandwichw/oMayo 2.25% 2 Buck_Double 2.06%

ind CTR_F3 1 BK_CHICKENFRIES(12pc) 14.98% 14 SpicyCHICK_NCRISP_Sandwich 11.55% 16 Tacos(2) 10.88% 4 ChocolateFudgeSundae 10.81% 7 Double_Hamburger 7.8% 15 SpicyCHICK_NCRISP_Sandwichw/oMayo 7.77% 2 Buck_Double 7.43% 8 Double_Bacon_Cheeseburger 7.15% 6 Double_Cheeseburger 7.11% 0 BK__Double_Stacker 6.11%

ind CTR_F4 11 MuffinBlueberry 30.37% 16 Tacos(2) 20.26% 5 DanishApple 12.66% 9 GardenSalad(nochicken) 9.74% 15 SpicyCHICK_NCRISP_Sandwichw/oMayo 5.87% 12 Original_Chicken_Sandwichw/oMayo 5.78% 10 KRAFT_MacaroniandCheese 5.36% 1 BK_CHICKENFRIES(12pc) 3.74% 3 CHICKENTENDERS_Sandwich 2.22% 0 BK__Double_Stacker 1.69%

ind CTR_F5 11 MuffinBlueberry 17.53% 12 Original_Chicken_Sandwichw/oMayo 14.2% 3 CHICKENTENDERS_Sandwich 13.55% 14 SpicyCHICK_NCRISP_Sandwich 12.88% 5 DanishApple 11.86% 16 Tacos(2) 7.97% 1 BK_CHICKENFRIES(12pc) 6.16% 9 GardenSalad(nochicken) 5.24% 15 SpicyCHICK_NCRISP_Sandwichw/oMayo 4.92% 0 BK__Double_Stacker 1.97%

ind CTR_F6 3 CHICKENTENDERS_Sandwich 32.24% 16 Tacos(2) 19.3% 5 DanishApple 17.15% 14 SpicyCHICK_NCRISP_Sandwich 6.98% 11 MuffinBlueberry 6.68% 13 Rodeo_Cheeseburger 6.36% 10 KRAFT_MacaroniandCheese 6.1% 8 Double_Bacon_Cheeseburger 1.08% 4 ChocolateFudgeSundae 0.94% 9 GardenSalad(nochicken) 0.87%

ind CTR_F7 1 BK_CHICKENFRIES(12pc) 25.86% 13 Rodeo_Cheeseburger 20.14% 4 ChocolateFudgeSundae 16.69% 7 Double_Hamburger 15.52% 15 SpicyCHICK_NCRISP_Sandwichw/oMayo 11.62% 8 Double_Bacon_Cheeseburger 4.35% 2 Buck_Double 1.79% 12 Original_Chicken_Sandwichw/oMayo 1.05% 6 Double_Cheeseburger 0.88% 0 BK__Double_Stacker 0.68%

ind CTR_F8 7 Double_Hamburger 26.84% 4 ChocolateFudgeSundae 21.08% 6 Double_Cheeseburger 16.06% 10 KRAFT_MacaroniandCheese 6.57% 5 DanishApple 5.31% 9 GardenSalad(nochicken) 5.24% 1 BK_CHICKENFRIES(12pc) 3.47% 8 Double_Bacon_Cheeseburger 3.19% 14 SpicyCHICK_NCRISP_Sandwich 2.71% 15 SpicyCHICK_NCRISP_Sandwichw/oMayo 2.56%

ind CTR_F9 13 Rodeo_Cheeseburger 61.59% 16 Tacos(2) 8.41% 7 Double_Hamburger 7.72% 15 SpicyCHICK_NCRISP_Sandwichw/oMayo 7.3% 9 GardenSalad(nochicken) 3.24% 1 BK_CHICKENFRIES(12pc) 2.9% 12 Original_Chicken_Sandwichw/oMayo 2.85% 2 Buck_Double 2.05% 5 DanishApple 1.25% 0 BK__Double_Stacker 0.89%

ind CTR_F10 2 Buck_Double 27.82% 12 Original_Chicken_Sandwichw/oMayo 22.31% 6 Double_Cheeseburger 18.27% 3 CHICKENTENDERS_Sandwich 7.25% 15 SpicyCHICK_NCRISP_Sandwichw/oMayo 6.83% 8 Double_Bacon_Cheeseburger 4.63% 1 BK_CHICKENFRIES(12pc) 2.53% 14 SpicyCHICK_NCRISP_Sandwich 2.2% 16 Tacos(2) 1.91% 0 BK__Double_Stacker 1.86%

La vérifiction de la somme des contributeurs égale à 1 pour tous les axes factoriels s'est correctement déroulée

4. Représentation des variables

Le champ components_ de l'objet ACP correspond aux valeurs propres.
On peut alors calculer la matrice des corrélations variables * facteurs

####################################################################################
####                            Les vecteurs propres                            ####
####################################################################################

	id	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
0	Calories	-0.4296	0.2006	0.1721	-0.1600	-0.0168	0.0531	-0.2353	0.0646	-0.7173	0.3779
1	Fat_Cal	-0.4332	0.0686	0.2040	0.1420	-0.3167	0.2223	0.0680	0.0934	0.5722	0.5054
2	Protein	-0.2968	-0.4435	-0.1494	-0.1681	0.3037	-0.1821	-0.2460	0.6741	0.1408	-0.0671
3	Fat	-0.4324	0.0577	0.2021	0.1468	-0.3339	0.2247	0.1244	0.1335	-0.1013	-0.7361
4	Sat_Fat	-0.3249	0.0317	-0.4398	0.1322	-0.3474	-0.7118	-0.0239	-0.2334	0.0066	-0.0080
5	Chol	-0.3327	-0.0876	-0.2635	0.5616	0.5405	0.2676	-0.1280	-0.3411	-0.0048	-0.0181
6	Sodium	-0.3082	-0.2975	0.3451	-0.3703	0.3180	-0.2093	0.5337	-0.3598	0.0316	-0.0089
7	Carbs	-0.1398	0.5470	0.1413	-0.3636	0.2717	-0.1163	-0.4773	-0.1862	0.3550	-0.2308
8	Fiber	0.1458	-0.0613	0.6710	0.5208	0.0873	-0.4477	-0.1987	0.0744	-0.0207	0.0042
9	Sugar	-0.0267	0.5957	-0.1160	0.1762	0.3168	-0.1674	0.5431	0.4176	-0.0230	0.0416

####################################################################################
####                          Corrélations par facteur                          ####
####################################################################################

	id	COR_F1	COR_F2	COR_F3	COR_F4	COR_F5	COR_F6	COR_F7	COR_F8	COR_F9	COR_F10
0	Calories	-0.9141	0.3138	0.2044	-0.1313	-0.0117	0.0312	-0.0721	0.0086	-0.0252	0.0060
1	Fat_Cal	-0.9217	0.1072	0.2423	0.1165	-0.2202	0.1309	0.0208	0.0124	0.0201	0.0080
2	Protein	-0.6314	-0.6935	-0.1774	-0.1380	0.2112	-0.1073	-0.0754	0.0897	0.0050	-0.0011
3	Fat	-0.9200	0.0903	0.2400	0.1205	-0.2322	0.1323	0.0382	0.0178	-0.0036	-0.0117
4	Sat_Fat	-0.6914	0.0495	-0.5222	0.1085	-0.2416	-0.4192	-0.0073	-0.0310	0.0002	-0.0001
5	Chol	-0.7080	-0.1369	-0.3129	0.4609	0.3758	0.1576	-0.0392	-0.0454	-0.0002	-0.0003
6	Sodium	-0.6558	-0.4653	0.4098	-0.3039	0.2211	-0.1232	0.1636	-0.0478	0.0011	-0.0001
7	Carbs	-0.2975	0.8554	0.1678	-0.2984	0.1889	-0.0685	-0.1463	-0.0248	0.0125	-0.0037
8	Fiber	0.3102	-0.0958	0.7968	0.4274	0.0607	-0.2636	-0.0609	0.0099	-0.0007	0.0001
9	Sugar	-0.0568	0.9316	-0.1377	0.1446	0.2203	-0.0986	0.1665	0.0555	-0.0008	0.0007

####################################################################################
####                             COS² des variables                             ####
####################################################################################

	id	COS²_var_F1	COS²_var_F2	COS²_var_F3	COS²_var_F4	COS²_var_F5	COS²_var_F6	COS²_var_F7	COS²_var_F8	COS²_var_F9	COS²_var_F10
0	Calories	0.8355	0.0984	0.0418	0.0172	0.0001	0.0010	0.0052	0.0001	0.0006	0.0000
1	Fat_Cal	0.8495	0.0115	0.0587	0.0136	0.0485	0.0171	0.0004	0.0002	0.0004	0.0001
2	Protein	0.3987	0.4809	0.0315	0.0190	0.0446	0.0115	0.0057	0.0080	0.0000	0.0000
3	Fat	0.8464	0.0081	0.0576	0.0145	0.0539	0.0175	0.0015	0.0003	0.0000	0.0001
4	Sat_Fat	0.4780	0.0024	0.2727	0.0118	0.0584	0.1757	0.0001	0.0010	0.0000	0.0000
5	Chol	0.5013	0.0188	0.0979	0.2124	0.1413	0.0248	0.0015	0.0021	0.0000	0.0000
6	Sodium	0.4301	0.2165	0.1679	0.0923	0.0489	0.0152	0.0268	0.0023	0.0000	0.0000
7	Carbs	0.0885	0.7317	0.0281	0.0891	0.0357	0.0047	0.0214	0.0006	0.0002	0.0000
8	Fiber	0.0962	0.0092	0.6349	0.1827	0.0037	0.0695	0.0037	0.0001	0.0000	0.0000
9	Sugar	0.0032	0.8679	0.0190	0.0209	0.0485	0.0097	0.0277	0.0031	0.0000	0.0000

La vérifiction de la somme des COS² égale à 1 pour tous les facteur s'est correctement déroulée

####################################################################################
####                        Contribution des variables                          ####
####################################################################################
La contribution est également basée sur le carré de la corrélation, mais relativisée par l’importance de l’axe.

	CTR_var_F1_str	CTR_var_F2_str	CTR_var_F3_str	CTR_var_F4_str	CTR_var_F5_str	CTR_var_F6_str	CTR_var_F7_str	CTR_var_F8_str	CTR_var_F9_str	CTR_var_F10_str
0	18.45%	4.03%	2.96%	2.56%	0.03%	0.28%	5.54%	0.42%	51.45%	14.28%
1	18.76%	0.47%	4.16%	2.02%	10.03%	4.94%	0.46%	0.87%	32.74%	25.54%
2	8.81%	19.67%	2.23%	2.83%	9.22%	3.32%	6.05%	45.44%	1.98%	0.45%
3	18.69%	0.33%	4.09%	2.16%	11.15%	5.05%	1.55%	1.78%	1.03%	54.18%
4	10.56%	0.1%	19.34%	1.75%	12.07%	50.67%	0.06%	5.45%	0.0%	0.01%
5	11.07%	0.77%	6.94%	31.54%	29.21%	7.16%	1.64%	11.64%	0.0%	0.03%
6	9.5%	8.85%	11.91%	13.71%	10.11%	4.38%	28.49%	12.94%	0.1%	0.01%
7	1.96%	29.92%	2.0%	13.22%	7.38%	1.35%	22.78%	3.47%	12.6%	5.33%
8	2.13%	0.38%	45.02%	27.12%	0.76%	20.04%	3.95%	0.55%	0.04%	0.0%
9	0.07%	35.49%	1.34%	3.1%	10.03%	2.8%	29.49%	17.44%	0.05%	0.17%

La vérifiction de la somme des contributeurs égale à 1 pour tous les axes factoriels s'est correctement déroulée

5. Traitement des variables supplémentaires

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####                   Variables illustratives quantitatives                    ####
####################################################################################

-------------------------------------------------------
|       Corrélations avec les axes factoriels         |
-------------------------------------------------------

	id	COR_VQI_F1	COR_VQI_F2	COR_VQI_F3	COR_VQI_F4	COR_VQI_F5	COR_VQI_F6	COR_VQI_F7	COR_VQI_F8	COR_VQI_F9	COR_VQI_F10
0	Serving_size	-0.0167	-0.5233	-0.2453	0.0875	0.0001	-0.2867	0.4634	0.1558	-0.1013	-0.3426

####################################################################################
####                    Variables illustratives qualitatives                    ####
####################################################################################

Principe : on utilise la variable qualitative pour différencier les individus en fonction des modalités de celle-ci.
Le jeu de données ne disposant pas de classification des individus, les modalités de la variable qualitative seront utilisées pour différencier les individus dans le graphique de projection.

1 variable illustrative qualitative :
     ▪ Variable Meat => 2 modalités : ["no", "yes"]

6. Représentation graphique

-------------------------------------------------------
|          Data d'un individu en particulier            |
-------------------------------------------------------

La key "select_obs" du return renvoie le dictionnaire suivant :
  - key : les valeurs de la variable des observations (cf. la variable en index du df initial)
  - value : tuple de 2 df :
    - df des données initiales
    - df des données calculées pour cet individu :
        - ses coordonnées factorielles
        - sa qualité de représentation sur les différents axes (cf. COS²)
        - sa contribution aux différents axes

Ex : en supposant que le nom donné à l'exécution de la fonction soit "resultat_acp" et que la valeur recherchée soit 'obs3' :
  - resultat_acp["select_obs"]["obs3"][0] pour afficher le df de données initiales
  - resultat_acp["select_obs"]["obs3"][1] pour afficher le df de données calculées de l'individu recherché

### Affichage des data d'un individu en particulier
### Exemple: individu "Buck_Double"
indi = "Buck_Double"

### df des données initiales
print(f"Données initiales {indi}")
display(resultat_acp["select_obs"][indi][0])
print('---------------------------------------')
### df des données calculées
print(f"Données calculées {indi}")
display(resultat_acp["select_obs"][indi][1])

Données initiales Buck_Double

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
Buck_Double	2.5900	1.2700	0.1500	0.1400	0.0600	0.5400	4.6800	0.1800	0.0100	0.0400	158

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

Données calculées Buck_Double

	coord. fact.	COS²	Contribution
F1	-0.9714	0.2571	1.23% (13e contributeur)
F2	-0.9255	0.2334	2.06% (10e contributeur)
F3	-1.3342	0.4851	7.43% (7e contributeur)
F4	0.1598	0.0070	0.22% (13e contributeur)
F5	0.1569	0.0067	0.3% (15e contributeur)
F6	0.0950	0.0025	0.15% (16e contributeur)
F7	-0.1691	0.0078	1.79% (7e contributeur)
F8	0.0030	0.0000	0.0% (16e contributeur)
F9	-0.0208	0.0001	2.05% (8e contributeur)
F10	0.0344	0.0003	27.82% (1e contributeur)

### La fonction retourne un dictionnaire avec les keys suivantes :
for k in resultat_acp.keys():
    print(k)

val_centre_reduit
valeurs_propres
pct_inertie_par_facteur
nb_groupes_opt
test_batons_brises
coord_fact_ind
cos2_ind
contribution_ind
ctr_ind_sorted_facteur_1
ctr_ind_sorted_facteur_2
ctr_ind_sorted_facteur_3
ctr_ind_sorted_facteur_4
ctr_ind_sorted_facteur_5
ctr_ind_sorted_facteur_6
ctr_ind_sorted_facteur_7
ctr_ind_sorted_facteur_8
ctr_ind_sorted_facteur_9
ctr_ind_sorted_facteur_10
vecteurs_propres
matrice_cor
cor_par_facteur
cos2_var
contribution_var
cor_par_facteur_VarQttiveIllus
resultats_tests
centroides_1_2
graph_proj_ind_1_2
graph_combo_1_2
cercle_cor_1_2
centroides_3_4
graph_proj_ind_3_4
graph_combo_3_4
cercle_cor_3_4
select_obs

### Rappel : un dossier "apc_graphs" est créé lors de l'exécution de la fonction regroupant l'ensemble des graphiques générés.
### Soit dans l'exemple :

keys_path_graphs = []
keys_no_graphs = []
for k in resultat_acp.keys():
    if k == "nb_groupes_opt" or k.startswith("graph_") or k.startswith("cercle_"):
        keys_path_graphs.append(k)
    else:
        keys_no_graphs.append(k)

print("Path des graphiques sauvegardés :")
for k in keys_path_graphs:
    print(" - "+resultat_acp[k])

Path des graphiques sauvegardés :
 - apc_graphs/recherche_nb_facteurs_optimal
 - apc_graphs/proj_ind_sur_1_et_2.png
 - apc_graphs/graph_combo_1_et_2.png
 - apc_graphs/cercle_cor_1_et_2.png
 - apc_graphs/proj_ind_sur_3_et_4.png
 - apc_graphs/graph_combo_3_et_4.png
 - apc_graphs/cercle_cor_3_et_4.png

### Pour les autres keys du dictionnaire rencvoyé par la fonction, affichons le résultat obtenu

for k in keys_no_graphs:
    if k != "select_obs":
        print(k)
        display(resultat_acp[k])

val_centre_reduit

	id	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar
0	BK__Double_Stacker	0.8363	1.1896	1.3756	1.2356	1.8103	1.4300	0.6512	-0.6116	-0.9682	-0.3699
1	BK_CHICKENFRIES(12pc)	0.4726	0.5774	1.1993	0.5878	-0.7248	-0.0200	2.4241	-0.4164	0.8453	-0.7511
2	Buck_Double	0.0468	0.0736	0.9400	0.0454	0.7750	0.9759	-0.0072	-0.5206	-0.8914	-0.3974
3	CHICKENTENDERS_Sandwich	0.6661	1.0193	-0.4256	1.0473	-0.6230	-0.3776	-0.1994	0.1362	-0.7838	-0.5054
4	ChocolateFudgeSundae	-1.0827	-1.5724	-1.4346	-1.5610	-0.2337	-0.9854	-1.6698	0.7039	-0.9682	2.0493
5	DanishApple	1.3710	0.6406	-1.1874	0.6103	1.4298	-1.3406	-0.3150	2.3910	-0.6609	1.6802
6	Double_Cheeseburger	0.0919	0.2249	0.9420	0.2665	1.0803	1.0576	0.4541	-0.5927	-0.9682	-0.4294
7	Double_Hamburger	-0.1120	-0.2512	0.9157	-0.2292	0.3990	0.7043	-0.5633	-0.3822	-0.8145	-0.3633
8	Double_Bacon_Cheeseburger	0.3207	0.5053	1.3330	0.5032	1.3944	1.1714	0.8207	-0.6817	-1.0143	-0.3897
9	GardenSalad(nochicken)	-2.6125	-1.9329	-1.6372	-1.9324	-1.3442	-1.2356	-2.0228	-1.7907	0.9836	-0.6805
10	KRAFT_MacaroniandCheese	-1.4029	-1.5846	-0.8835	-1.5955	-1.4371	-1.1112	-0.8373	-0.3548	-0.5072	-0.3291
11	MuffinBlueberry	1.3174	1.2062	-1.2421	1.1561	-0.2647	1.9705	-0.5741	1.8261	0.8606	2.5957
12	Original_Chicken_Sandwichw/oMayo	-0.4259	-0.9375	0.4213	-0.9046	-1.2114	-0.4226	0.8280	0.0945	0.5686	-0.5836
13	Rodeo_Cheeseburger	0.2183	0.0434	0.3950	-0.0651	0.3945	0.1104	-0.0052	0.5400	0.5379	-0.0416
14	SpicyCHICK_NCRISP_Sandwich	1.0150	1.4487	-0.2007	1.4515	-0.3974	-0.4978	0.6236	0.1694	0.3996	-0.4922
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	0.0919	-0.5015	-0.0042	-0.5401	-1.0566	-0.7077	0.5845	0.7096	0.8299	-0.4294
16	Tacos(2)	-0.8118	-0.1489	-0.5066	-0.0755	0.0096	-0.7216	-0.1922	-1.2201	2.5512	-0.5627

valeurs_propres

array([4.52737681e+00, 2.44546345e+00, 1.41010602e+00, 6.73523328e-01,
       4.83586846e-01, 3.46791440e-01, 9.39735274e-02, 1.76900742e-02,
       1.23762760e-03, 2.50881956e-04])

pct_inertie_par_facteur

array([4.52737681e+01, 2.44546345e+01, 1.41010602e+01, 6.73523328e+00,
       4.83586846e+00, 3.46791440e+00, 9.39735274e-01, 1.76900742e-01,
       1.23762760e-02, 2.50881956e-03])

test_batons_brises

	Val.Propre	Seuils
0	4.5274	2.9290
1	2.4455	1.9290
2	1.4101	1.4290
3	0.6735	1.0956
4	0.4836	0.8456
5	0.3468	0.6456
6	0.0940	0.4790
7	0.0177	0.3361
8	0.0012	0.2111
9	0.0003	0.1000

coord_fact_ind

	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
ITEM
BK__Double_Stacker	-3.1275	-1.0466	-1.2105	0.4395	-0.4025	-0.1397	0.1040	0.0001	-0.0137	-0.0089
BK_CHICKENFRIES(12pc)	-1.3666	-1.8330	1.8948	-0.6543	0.7117	-0.1339	0.6427	0.1021	0.0247	0.0104
Buck_Double	-0.9714	-0.9255	-1.3342	0.1598	0.1569	0.0950	-0.1691	0.0030	-0.0208	0.0344
CHICKENTENDERS_Sandwich	-0.7845	0.3468	0.4545	-0.5039	-1.0555	1.3786	-0.0793	0.0424	0.0070	-0.0176
ChocolateFudgeSundae	2.8711	2.4620	-1.6100	-0.4032	0.3753	-0.2359	0.5164	0.2518	0.0064	-0.0054
DanishApple	-1.1749	3.4865	-0.0173	-1.2038	-0.9876	-1.0056	-0.0391	-0.1264	-0.0162	0.0033
Double_Cheeseburger	-1.4214	-1.0827	-1.3058	0.1022	0.0834	-0.0635	0.1183	-0.2198	0.0043	-0.0279
Double_Hamburger	-0.2617	-0.7160	-1.3675	0.1023	0.2089	0.2123	-0.4979	0.2841	-0.0403	-0.0032
Double_Bacon_Cheeseburger	-2.1078	-1.3087	-1.3095	0.0595	0.0837	-0.2525	0.2635	-0.0979	0.0132	0.0140
GardenSalad(nochicken)	5.1642	-0.8198	-0.2854	1.0558	-0.6561	0.2270	0.0461	-0.1255	0.0261	0.0080
KRAFT_MacaroniandCheese	3.3203	-0.1485	-0.4717	-0.7834	0.1774	0.5999	0.0623	-0.1405	-0.0016	0.0077
MuffinBlueberry	-1.8115	3.4469	0.8257	1.8648	1.2006	0.6276	0.0361	-0.0813	-0.0054	0.0016
Original_Chicken_Sandwichw/oMayo	1.2195	-0.9673	0.8821	-0.8138	1.0803	-0.1029	-0.1297	-0.0417	-0.0245	-0.0308
Rodeo_Cheeseburger	-0.3609	0.1098	0.2119	0.0878	0.2258	-0.6122	-0.5672	0.0699	0.1138	-0.0033
SpicyCHICK_NCRISP_Sandwich	-1.4813	0.0962	1.6639	-0.2130	-1.0292	0.6416	0.0681	0.0903	0.0082	0.0097
SpicyCHICK_NCRISP_Sandwichw/oMayo	0.8444	-0.1092	1.3647	-0.8195	0.6361	-0.1691	-0.4308	-0.0877	-0.0392	0.0171
Tacos(2)	1.4500	-0.9910	1.6146	1.5231	-0.8092	-1.0666	0.0556	0.0771	-0.0421	-0.0090

cos2_ind

	id	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
0	BK__Double_Stacker	0.7685	0.0861	0.1151	0.0152	0.0127	0.0015	0.0008	0.0000	0.0000	0.0000
1	BK_CHICKENFRIES(12pc)	0.1832	0.3296	0.3522	0.0420	0.0497	0.0018	0.0405	0.0010	0.0001	0.0000
2	Buck_Double	0.2571	0.2334	0.4851	0.0070	0.0067	0.0025	0.0078	0.0000	0.0001	0.0003
3	CHICKENTENDERS_Sandwich	0.1459	0.0285	0.0490	0.0602	0.2640	0.4505	0.0015	0.0004	0.0000	0.0001
4	ChocolateFudgeSundae	0.4687	0.3447	0.1474	0.0092	0.0080	0.0032	0.0152	0.0036	0.0000	0.0000
5	DanishApple	0.0812	0.7155	0.0000	0.0853	0.0574	0.0595	0.0001	0.0009	0.0000	0.0000
6	Double_Cheeseburger	0.4055	0.2353	0.3423	0.0021	0.0014	0.0008	0.0028	0.0097	0.0000	0.0002
7	Double_Hamburger	0.0238	0.1780	0.6492	0.0036	0.0151	0.0156	0.0860	0.0280	0.0006	0.0000
8	Double_Bacon_Cheeseburger	0.5537	0.2134	0.2137	0.0004	0.0009	0.0079	0.0087	0.0012	0.0000	0.0000
9	GardenSalad(nochicken)	0.9184	0.0231	0.0028	0.0384	0.0148	0.0018	0.0001	0.0005	0.0000	0.0000
10	KRAFT_MacaroniandCheese	0.8965	0.0018	0.0181	0.0499	0.0026	0.0293	0.0003	0.0016	0.0000	0.0000
11	MuffinBlueberry	0.1550	0.5614	0.0322	0.1643	0.0681	0.0186	0.0001	0.0003	0.0000	0.0000
12	Original_Chicken_Sandwichw/oMayo	0.2938	0.1849	0.1537	0.1308	0.2306	0.0021	0.0033	0.0003	0.0001	0.0002
13	Rodeo_Cheeseburger	0.1356	0.0126	0.0468	0.0080	0.0531	0.3903	0.3350	0.0051	0.0135	0.0000
14	SpicyCHICK_NCRISP_Sandwich	0.3375	0.0014	0.4258	0.0070	0.1629	0.0633	0.0007	0.0013	0.0000	0.0000
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	0.1834	0.0031	0.4791	0.1728	0.1041	0.0074	0.0477	0.0020	0.0004	0.0001
16	Tacos(2)	0.2142	0.1001	0.2656	0.2364	0.0667	0.1159	0.0003	0.0006	0.0002	0.0000

contribution_ind

	id	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
0	BK__Double_Stacker	0.1271	0.0263	0.0611	0.0169	0.0197	0.0033	0.0068	0.0000	0.0089	0.0186
1	BK_CHICKENFRIES(12pc)	0.0243	0.0808	0.1498	0.0374	0.0616	0.0030	0.2586	0.0347	0.0290	0.0253
2	Buck_Double	0.0123	0.0206	0.0743	0.0022	0.0030	0.0015	0.0179	0.0000	0.0205	0.2782
3	CHICKENTENDERS_Sandwich	0.0080	0.0029	0.0086	0.0222	0.1355	0.3224	0.0039	0.0060	0.0023	0.0725
4	ChocolateFudgeSundae	0.1071	0.1458	0.1081	0.0142	0.0171	0.0094	0.1669	0.2108	0.0019	0.0069
5	DanishApple	0.0179	0.2924	0.0000	0.1266	0.1186	0.1715	0.0010	0.0531	0.0125	0.0026
6	Double_Cheeseburger	0.0263	0.0282	0.0711	0.0009	0.0008	0.0007	0.0088	0.1606	0.0009	0.1827
7	Double_Hamburger	0.0009	0.0123	0.0780	0.0009	0.0053	0.0076	0.1552	0.2684	0.0772	0.0024
8	Double_Bacon_Cheeseburger	0.0577	0.0412	0.0715	0.0003	0.0009	0.0108	0.0435	0.0319	0.0083	0.0463
9	GardenSalad(nochicken)	0.3465	0.0162	0.0034	0.0974	0.0524	0.0087	0.0013	0.0524	0.0324	0.0150
10	KRAFT_MacaroniandCheese	0.1432	0.0005	0.0093	0.0536	0.0038	0.0610	0.0024	0.0657	0.0001	0.0139
11	MuffinBlueberry	0.0426	0.2858	0.0284	0.3037	0.1753	0.0668	0.0008	0.0220	0.0014	0.0006
12	Original_Chicken_Sandwichw/oMayo	0.0193	0.0225	0.0325	0.0578	0.1420	0.0018	0.0105	0.0058	0.0285	0.2231
13	Rodeo_Cheeseburger	0.0017	0.0003	0.0019	0.0007	0.0062	0.0636	0.2014	0.0163	0.6159	0.0026
14	SpicyCHICK_NCRISP_Sandwich	0.0285	0.0002	0.1155	0.0040	0.1288	0.0698	0.0029	0.0271	0.0032	0.0220
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	0.0093	0.0003	0.0777	0.0587	0.0492	0.0048	0.1162	0.0256	0.0730	0.0683
16	Tacos(2)	0.0273	0.0236	0.1088	0.2026	0.0797	0.1930	0.0019	0.0198	0.0841	0.0191

ctr_ind_sorted_facteur_1

	ind	CTR_F1
9	GardenSalad(nochicken)	34.65%
10	KRAFT_MacaroniandCheese	14.32%
0	BK__Double_Stacker	12.71%
4	ChocolateFudgeSundae	10.71%
8	Double_Bacon_Cheeseburger	5.77%
11	MuffinBlueberry	4.26%
14	SpicyCHICK_NCRISP_Sandwich	2.85%
16	Tacos(2)	2.73%
6	Double_Cheeseburger	2.63%
1	BK_CHICKENFRIES(12pc)	2.43%
12	Original_Chicken_Sandwichw/oMayo	1.93%
5	DanishApple	1.79%
2	Buck_Double	1.23%
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	0.93%
3	CHICKENTENDERS_Sandwich	0.8%
13	Rodeo_Cheeseburger	0.17%
7	Double_Hamburger	0.09%

ctr_ind_sorted_facteur_2

	ind	CTR_F2
5	DanishApple	29.24%
11	MuffinBlueberry	28.58%
4	ChocolateFudgeSundae	14.58%
1	BK_CHICKENFRIES(12pc)	8.08%
8	Double_Bacon_Cheeseburger	4.12%
6	Double_Cheeseburger	2.82%
0	BK__Double_Stacker	2.63%
16	Tacos(2)	2.36%
12	Original_Chicken_Sandwichw/oMayo	2.25%
2	Buck_Double	2.06%
9	GardenSalad(nochicken)	1.62%
7	Double_Hamburger	1.23%
3	CHICKENTENDERS_Sandwich	0.29%
10	KRAFT_MacaroniandCheese	0.05%
13	Rodeo_Cheeseburger	0.03%
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	0.03%
14	SpicyCHICK_NCRISP_Sandwich	0.02%

ctr_ind_sorted_facteur_3

	ind	CTR_F3
1	BK_CHICKENFRIES(12pc)	14.98%
14	SpicyCHICK_NCRISP_Sandwich	11.55%
16	Tacos(2)	10.88%
4	ChocolateFudgeSundae	10.81%
7	Double_Hamburger	7.8%
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	7.77%
2	Buck_Double	7.43%
8	Double_Bacon_Cheeseburger	7.15%
6	Double_Cheeseburger	7.11%
0	BK__Double_Stacker	6.11%
12	Original_Chicken_Sandwichw/oMayo	3.25%
11	MuffinBlueberry	2.84%
10	KRAFT_MacaroniandCheese	0.93%
3	CHICKENTENDERS_Sandwich	0.86%
9	GardenSalad(nochicken)	0.34%
13	Rodeo_Cheeseburger	0.19%
5	DanishApple	0.0%

ctr_ind_sorted_facteur_4

	ind	CTR_F4
11	MuffinBlueberry	30.37%
16	Tacos(2)	20.26%
5	DanishApple	12.66%
9	GardenSalad(nochicken)	9.74%
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	5.87%
12	Original_Chicken_Sandwichw/oMayo	5.78%
10	KRAFT_MacaroniandCheese	5.36%
1	BK_CHICKENFRIES(12pc)	3.74%
3	CHICKENTENDERS_Sandwich	2.22%
0	BK__Double_Stacker	1.69%
4	ChocolateFudgeSundae	1.42%
14	SpicyCHICK_NCRISP_Sandwich	0.4%
2	Buck_Double	0.22%
7	Double_Hamburger	0.09%
6	Double_Cheeseburger	0.09%
13	Rodeo_Cheeseburger	0.07%
8	Double_Bacon_Cheeseburger	0.03%

ctr_ind_sorted_facteur_5

	ind	CTR_F5
11	MuffinBlueberry	17.53%
12	Original_Chicken_Sandwichw/oMayo	14.2%
3	CHICKENTENDERS_Sandwich	13.55%
14	SpicyCHICK_NCRISP_Sandwich	12.88%
5	DanishApple	11.86%
16	Tacos(2)	7.97%
1	BK_CHICKENFRIES(12pc)	6.16%
9	GardenSalad(nochicken)	5.24%
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	4.92%
0	BK__Double_Stacker	1.97%
4	ChocolateFudgeSundae	1.71%
13	Rodeo_Cheeseburger	0.62%
7	Double_Hamburger	0.53%
10	KRAFT_MacaroniandCheese	0.38%
2	Buck_Double	0.3%
8	Double_Bacon_Cheeseburger	0.09%
6	Double_Cheeseburger	0.08%

ctr_ind_sorted_facteur_6

	ind	CTR_F6
3	CHICKENTENDERS_Sandwich	32.24%
16	Tacos(2)	19.3%
5	DanishApple	17.15%
14	SpicyCHICK_NCRISP_Sandwich	6.98%
11	MuffinBlueberry	6.68%
13	Rodeo_Cheeseburger	6.36%
10	KRAFT_MacaroniandCheese	6.1%
8	Double_Bacon_Cheeseburger	1.08%
4	ChocolateFudgeSundae	0.94%
9	GardenSalad(nochicken)	0.87%
7	Double_Hamburger	0.76%
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	0.48%
0	BK__Double_Stacker	0.33%
1	BK_CHICKENFRIES(12pc)	0.3%
12	Original_Chicken_Sandwichw/oMayo	0.18%
2	Buck_Double	0.15%
6	Double_Cheeseburger	0.07%

ctr_ind_sorted_facteur_7

	ind	CTR_F7
1	BK_CHICKENFRIES(12pc)	25.86%
13	Rodeo_Cheeseburger	20.14%
4	ChocolateFudgeSundae	16.69%
7	Double_Hamburger	15.52%
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	11.62%
8	Double_Bacon_Cheeseburger	4.35%
2	Buck_Double	1.79%
12	Original_Chicken_Sandwichw/oMayo	1.05%
6	Double_Cheeseburger	0.88%
0	BK__Double_Stacker	0.68%
3	CHICKENTENDERS_Sandwich	0.39%
14	SpicyCHICK_NCRISP_Sandwich	0.29%
10	KRAFT_MacaroniandCheese	0.24%
16	Tacos(2)	0.19%
9	GardenSalad(nochicken)	0.13%
5	DanishApple	0.1%
11	MuffinBlueberry	0.08%

ctr_ind_sorted_facteur_8

	ind	CTR_F8
7	Double_Hamburger	26.84%
4	ChocolateFudgeSundae	21.08%
6	Double_Cheeseburger	16.06%
10	KRAFT_MacaroniandCheese	6.57%
5	DanishApple	5.31%
9	GardenSalad(nochicken)	5.24%
1	BK_CHICKENFRIES(12pc)	3.47%
8	Double_Bacon_Cheeseburger	3.19%
14	SpicyCHICK_NCRISP_Sandwich	2.71%
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	2.56%
11	MuffinBlueberry	2.2%
16	Tacos(2)	1.98%
13	Rodeo_Cheeseburger	1.63%
3	CHICKENTENDERS_Sandwich	0.6%
12	Original_Chicken_Sandwichw/oMayo	0.58%
2	Buck_Double	0.0%
0	BK__Double_Stacker	0.0%

ctr_ind_sorted_facteur_9

	ind	CTR_F9
13	Rodeo_Cheeseburger	61.59%
16	Tacos(2)	8.41%
7	Double_Hamburger	7.72%
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	7.3%
9	GardenSalad(nochicken)	3.24%
1	BK_CHICKENFRIES(12pc)	2.9%
12	Original_Chicken_Sandwichw/oMayo	2.85%
2	Buck_Double	2.05%
5	DanishApple	1.25%
0	BK__Double_Stacker	0.89%
8	Double_Bacon_Cheeseburger	0.83%
14	SpicyCHICK_NCRISP_Sandwich	0.32%
3	CHICKENTENDERS_Sandwich	0.23%
4	ChocolateFudgeSundae	0.19%
11	MuffinBlueberry	0.14%
6	Double_Cheeseburger	0.09%
10	KRAFT_MacaroniandCheese	0.01%

ctr_ind_sorted_facteur_10

	ind	CTR_F10
2	Buck_Double	27.82%
12	Original_Chicken_Sandwichw/oMayo	22.31%
6	Double_Cheeseburger	18.27%
3	CHICKENTENDERS_Sandwich	7.25%
15	SpicyCHICK_NCRISP_Sandwichw/oMayo	6.83%
8	Double_Bacon_Cheeseburger	4.63%
1	BK_CHICKENFRIES(12pc)	2.53%
14	SpicyCHICK_NCRISP_Sandwich	2.2%
16	Tacos(2)	1.91%
0	BK__Double_Stacker	1.86%
9	GardenSalad(nochicken)	1.5%
10	KRAFT_MacaroniandCheese	1.39%
4	ChocolateFudgeSundae	0.69%
13	Rodeo_Cheeseburger	0.26%
5	DanishApple	0.26%
7	Double_Hamburger	0.24%
11	MuffinBlueberry	0.06%

vecteurs_propres

	id	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
0	Calories	-0.4296	0.2006	0.1721	-0.1600	-0.0168	0.0531	-0.2353	0.0646	-0.7173	0.3779
1	Fat_Cal	-0.4332	0.0686	0.2040	0.1420	-0.3167	0.2223	0.0680	0.0934	0.5722	0.5054
2	Protein	-0.2968	-0.4435	-0.1494	-0.1681	0.3037	-0.1821	-0.2460	0.6741	0.1408	-0.0671
3	Fat	-0.4324	0.0577	0.2021	0.1468	-0.3339	0.2247	0.1244	0.1335	-0.1013	-0.7361
4	Sat_Fat	-0.3249	0.0317	-0.4398	0.1322	-0.3474	-0.7118	-0.0239	-0.2334	0.0066	-0.0080
5	Chol	-0.3327	-0.0876	-0.2635	0.5616	0.5405	0.2676	-0.1280	-0.3411	-0.0048	-0.0181
6	Sodium	-0.3082	-0.2975	0.3451	-0.3703	0.3180	-0.2093	0.5337	-0.3598	0.0316	-0.0089
7	Carbs	-0.1398	0.5470	0.1413	-0.3636	0.2717	-0.1163	-0.4773	-0.1862	0.3550	-0.2308
8	Fiber	0.1458	-0.0613	0.6710	0.5208	0.0873	-0.4477	-0.1987	0.0744	-0.0207	0.0042
9	Sugar	-0.0267	0.5957	-0.1160	0.1762	0.3168	-0.1674	0.5431	0.4176	-0.0230	0.0416

matrice_cor

array([[-9.141e-01,  3.138e-01,  2.044e-01, -1.313e-01, -1.170e-02,
         3.120e-02, -7.210e-02,  8.600e-03, -2.520e-02,  6.000e-03],
       [-9.217e-01,  1.072e-01,  2.423e-01,  1.165e-01, -2.202e-01,
         1.309e-01,  2.080e-02,  1.240e-02,  2.010e-02,  8.000e-03],
       [-6.314e-01, -6.935e-01, -1.774e-01, -1.380e-01,  2.112e-01,
        -1.073e-01, -7.540e-02,  8.970e-02,  5.000e-03, -1.100e-03],
       [-9.200e-01,  9.030e-02,  2.400e-01,  1.205e-01, -2.322e-01,
         1.323e-01,  3.820e-02,  1.780e-02, -3.600e-03, -1.170e-02],
       [-6.914e-01,  4.950e-02, -5.222e-01,  1.085e-01, -2.416e-01,
        -4.192e-01, -7.300e-03, -3.100e-02,  2.000e-04, -1.000e-04],
       [-7.080e-01, -1.369e-01, -3.129e-01,  4.609e-01,  3.758e-01,
         1.576e-01, -3.920e-02, -4.540e-02, -2.000e-04, -3.000e-04],
       [-6.558e-01, -4.653e-01,  4.098e-01, -3.039e-01,  2.211e-01,
        -1.232e-01,  1.636e-01, -4.780e-02,  1.100e-03, -1.000e-04],
       [-2.975e-01,  8.554e-01,  1.678e-01, -2.984e-01,  1.889e-01,
        -6.850e-02, -1.463e-01, -2.480e-02,  1.250e-02, -3.700e-03],
       [ 3.102e-01, -9.580e-02,  7.968e-01,  4.274e-01,  6.070e-02,
        -2.636e-01, -6.090e-02,  9.900e-03, -7.000e-04,  1.000e-04],
       [-5.680e-02,  9.316e-01, -1.377e-01,  1.446e-01,  2.203e-01,
        -9.860e-02,  1.665e-01,  5.550e-02, -8.000e-04,  7.000e-04]])

cor_par_facteur

	id	COR_F1	COR_F2	COR_F3	COR_F4	COR_F5	COR_F6	COR_F7	COR_F8	COR_F9	COR_F10
0	Calories	-0.9141	0.3138	0.2044	-0.1313	-0.0117	0.0312	-0.0721	0.0086	-0.0252	0.0060
1	Fat_Cal	-0.9217	0.1072	0.2423	0.1165	-0.2202	0.1309	0.0208	0.0124	0.0201	0.0080
2	Protein	-0.6314	-0.6935	-0.1774	-0.1380	0.2112	-0.1073	-0.0754	0.0897	0.0050	-0.0011
3	Fat	-0.9200	0.0903	0.2400	0.1205	-0.2322	0.1323	0.0382	0.0178	-0.0036	-0.0117
4	Sat_Fat	-0.6914	0.0495	-0.5222	0.1085	-0.2416	-0.4192	-0.0073	-0.0310	0.0002	-0.0001
5	Chol	-0.7080	-0.1369	-0.3129	0.4609	0.3758	0.1576	-0.0392	-0.0454	-0.0002	-0.0003
6	Sodium	-0.6558	-0.4653	0.4098	-0.3039	0.2211	-0.1232	0.1636	-0.0478	0.0011	-0.0001
7	Carbs	-0.2975	0.8554	0.1678	-0.2984	0.1889	-0.0685	-0.1463	-0.0248	0.0125	-0.0037
8	Fiber	0.3102	-0.0958	0.7968	0.4274	0.0607	-0.2636	-0.0609	0.0099	-0.0007	0.0001
9	Sugar	-0.0568	0.9316	-0.1377	0.1446	0.2203	-0.0986	0.1665	0.0555	-0.0008	0.0007

cos2_var

	id	COS²_var_F1	COS²_var_F2	COS²_var_F3	COS²_var_F4	COS²_var_F5	COS²_var_F6	COS²_var_F7	COS²_var_F8	COS²_var_F9	COS²_var_F10
0	Calories	0.8355	0.0984	0.0418	0.0172	0.0001	0.0010	0.0052	0.0001	0.0006	0.0000
1	Fat_Cal	0.8495	0.0115	0.0587	0.0136	0.0485	0.0171	0.0004	0.0002	0.0004	0.0001
2	Protein	0.3987	0.4809	0.0315	0.0190	0.0446	0.0115	0.0057	0.0080	0.0000	0.0000
3	Fat	0.8464	0.0081	0.0576	0.0145	0.0539	0.0175	0.0015	0.0003	0.0000	0.0001
4	Sat_Fat	0.4780	0.0024	0.2727	0.0118	0.0584	0.1757	0.0001	0.0010	0.0000	0.0000
5	Chol	0.5013	0.0188	0.0979	0.2124	0.1413	0.0248	0.0015	0.0021	0.0000	0.0000
6	Sodium	0.4301	0.2165	0.1679	0.0923	0.0489	0.0152	0.0268	0.0023	0.0000	0.0000
7	Carbs	0.0885	0.7317	0.0281	0.0891	0.0357	0.0047	0.0214	0.0006	0.0002	0.0000
8	Fiber	0.0962	0.0092	0.6349	0.1827	0.0037	0.0695	0.0037	0.0001	0.0000	0.0000
9	Sugar	0.0032	0.8679	0.0190	0.0209	0.0485	0.0097	0.0277	0.0031	0.0000	0.0000

contribution_var

	id	CTR_var_F1	CTR_var_F2	CTR_var_F3	CTR_var_F4	CTR_var_F5	CTR_var_F6	CTR_var_F7	CTR_var_F8	CTR_var_F9	...	CTR_var_F1_str	CTR_var_F2_str	CTR_var_F3_str	CTR_var_F4_str	CTR_var_F5_str	CTR_var_F6_str	CTR_var_F7_str	CTR_var_F8_str	CTR_var_F9_str	CTR_var_F10_str
0	Calories	0.1845	0.0403	0.0296	0.0256	0.0003	0.0028	0.0554	0.0042	0.5145	...	18.45%	4.03%	2.96%	2.56%	0.03%	0.28%	5.54%	0.42%	51.45%	14.28%
1	Fat_Cal	0.1876	0.0047	0.0416	0.0202	0.1003	0.0494	0.0046	0.0087	0.3274	...	18.76%	0.47%	4.16%	2.02%	10.03%	4.94%	0.46%	0.87%	32.74%	25.54%
2	Protein	0.0881	0.1967	0.0223	0.0283	0.0922	0.0332	0.0605	0.4544	0.0198	...	8.81%	19.67%	2.23%	2.83%	9.22%	3.32%	6.05%	45.44%	1.98%	0.45%
3	Fat	0.1869	0.0033	0.0409	0.0216	0.1115	0.0505	0.0155	0.0178	0.0103	...	18.69%	0.33%	4.09%	2.16%	11.15%	5.05%	1.55%	1.78%	1.03%	54.18%
4	Sat_Fat	0.1056	0.0010	0.1934	0.0175	0.1207	0.5067	0.0006	0.0545	0.0000	...	10.56%	0.1%	19.34%	1.75%	12.07%	50.67%	0.06%	5.45%	0.0%	0.01%
5	Chol	0.1107	0.0077	0.0694	0.3154	0.2921	0.0716	0.0164	0.1164	0.0000	...	11.07%	0.77%	6.94%	31.54%	29.21%	7.16%	1.64%	11.64%	0.0%	0.03%
6	Sodium	0.0950	0.0885	0.1191	0.1371	0.1011	0.0438	0.2849	0.1294	0.0010	...	9.5%	8.85%	11.91%	13.71%	10.11%	4.38%	28.49%	12.94%	0.1%	0.01%
7	Carbs	0.0196	0.2992	0.0200	0.1322	0.0738	0.0135	0.2278	0.0347	0.1260	...	1.96%	29.92%	2.0%	13.22%	7.38%	1.35%	22.78%	3.47%	12.6%	5.33%
8	Fiber	0.0213	0.0038	0.4502	0.2712	0.0076	0.2004	0.0395	0.0055	0.0004	...	2.13%	0.38%	45.02%	27.12%	0.76%	20.04%	3.95%	0.55%	0.04%	0.0%
9	Sugar	0.0007	0.3549	0.0134	0.0310	0.1003	0.0280	0.2949	0.1744	0.0005	...	0.07%	35.49%	1.34%	3.1%	10.03%	2.8%	29.49%	17.44%	0.05%	0.17%

10 rows × 21 columns

cor_par_facteur_VarQttiveIllus

	id	COR_VQI_F1	COR_VQI_F2	COR_VQI_F3	COR_VQI_F4	COR_VQI_F5	COR_VQI_F6	COR_VQI_F7	COR_VQI_F8	COR_VQI_F9	COR_VQI_F10
0	Serving_size	-0.0167	-0.5233	-0.2453	0.0875	0.0001	-0.2867	0.4634	0.1558	-0.1013	-0.3426

resultats_tests

[1, 1, 1, 1, 1]

centroides_1_2

[[1.6738383090522084, -0.6974326287717538],
 [1.6854089566065358, -0.7022537319193899]]

centroides_3_4

[[-0.3117649032794226, 0.1299020430330927],
 [0.10603477477986903, -0.044181156158278556]]

### Cas particulier de la clé select_obs
### resultat_acp["select_obs"] renvoie, pour chaque observation, un tuple composé de 2 df:
###   - df données initiales
###   - df données calculées (coordonnées factorielles, cos², contribution aux axes)

for obs in df.index:
    title = "Individu "+obs
    all_data_obs = resultat_acp["select_obs"][obs]
    
    print("-" * len(title))
    print(title)
    print("-" * len(title))
    print()
    print("Data initiales")
    display(all_data_obs[0])
    print("Data calculées")
    display(all_data_obs[1])
    print()
    print()

----------------------------
Individu BK__Double_Stacker 
----------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
BK__Double_Stacker	3.2400	1.8500	0.1700	0.2100	0.0900	0.6400	6.0100	0.1700	0.0100	0.0400	173

Data calculées

	coord. fact.	COS²	Contribution
F1	-3.1275	0.7685	12.71% (3e contributeur)
F2	-1.0466	0.0861	2.63% (7e contributeur)
F3	-1.2105	0.1151	6.11% (10e contributeur)
F4	0.4395	0.0152	1.69% (10e contributeur)
F5	-0.4025	0.0127	1.97% (10e contributeur)
F6	-0.1397	0.0015	0.33% (13e contributeur)
F7	0.1040	0.0008	0.68% (10e contributeur)
F8	0.0001	0.0000	0.0% (17e contributeur)
F9	-0.0137	0.0000	0.89% (10e contributeur)
F10	-0.0089	0.0000	1.86% (10e contributeur)

-------------------------------
Individu BK_CHICKENFRIES(12pc) 
-------------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
BK_CHICKENFRIES(12pc)	2.9400	1.5300	0.1600	0.1700	0.0300	0.3200	9.5900	0.1900	0.0200	0.0100	170

Data calculées

	coord. fact.	COS²	Contribution
F1	-1.3666	0.1832	2.43% (10e contributeur)
F2	-1.8330	0.3296	8.08% (4e contributeur)
F3	1.8948	0.3522	14.98% (1e contributeur)
F4	-0.6543	0.0420	3.74% (8e contributeur)
F5	0.7117	0.0497	6.16% (7e contributeur)
F6	-0.1339	0.0018	0.3% (14e contributeur)
F7	0.6427	0.0405	25.86% (1e contributeur)
F8	0.1021	0.0010	3.47% (7e contributeur)
F9	0.0247	0.0001	2.9% (6e contributeur)
F10	0.0104	0.0000	2.53% (7e contributeur)

---------------------
Individu Buck_Double 
---------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
Buck_Double	2.5900	1.2700	0.1500	0.1400	0.0600	0.5400	4.6800	0.1800	0.0100	0.0400	158

Data calculées

	coord. fact.	COS²	Contribution
F1	-0.9714	0.2571	1.23% (13e contributeur)
F2	-0.9255	0.2334	2.06% (10e contributeur)
F3	-1.3342	0.4851	7.43% (7e contributeur)
F4	0.1598	0.0070	0.22% (13e contributeur)
F5	0.1569	0.0067	0.3% (15e contributeur)
F6	0.0950	0.0025	0.15% (16e contributeur)
F7	-0.1691	0.0078	1.79% (7e contributeur)
F8	0.0030	0.0000	0.0% (16e contributeur)
F9	-0.0208	0.0001	2.05% (8e contributeur)
F10	0.0344	0.0003	27.82% (1e contributeur)

---------------------------------
Individu CHICKENTENDERS_Sandwich 
---------------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
CHICKENTENDERS_Sandwich	3.1000	1.7600	0.0800	0.2000	0.0300	0.2500	4.3000	0.2500	0.0100	0.0300	142

Data calculées

	coord. fact.	COS²	Contribution
F1	-0.7845	0.1459	0.8% (15e contributeur)
F2	0.3468	0.0285	0.29% (13e contributeur)
F3	0.4545	0.0490	0.86% (14e contributeur)
F4	-0.5039	0.0602	2.22% (9e contributeur)
F5	-1.0555	0.2640	13.55% (3e contributeur)
F6	1.3786	0.4505	32.24% (1e contributeur)
F7	-0.0793	0.0015	0.39% (11e contributeur)
F8	0.0424	0.0004	0.6% (14e contributeur)
F9	0.0070	0.0000	0.23% (13e contributeur)
F10	-0.0176	0.0001	7.25% (4e contributeur)

------------------------------
Individu ChocolateFudgeSundae 
------------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
ChocolateFudgeSundae	1.6800	0.4000	0.0300	0.0500	0.0400	0.1200	1.3300	0.3100	0.0100	0.2600	173

Data calculées

	coord. fact.	COS²	Contribution
F1	2.8711	0.4687	10.71% (4e contributeur)
F2	2.4620	0.3447	14.58% (3e contributeur)
F3	-1.6100	0.1474	10.81% (4e contributeur)
F4	-0.4032	0.0092	1.42% (11e contributeur)
F5	0.3753	0.0080	1.71% (11e contributeur)
F6	-0.2359	0.0032	0.94% (9e contributeur)
F7	0.5164	0.0152	16.69% (3e contributeur)
F8	0.2518	0.0036	21.08% (2e contributeur)
F9	0.0064	0.0000	0.19% (14e contributeur)
F10	-0.0054	0.0000	0.69% (13e contributeur)

---------------------
Individu DanishApple 
---------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
DanishApple	3.6700	1.5600	0.0500	0.1700	0.0800	0.0400	4.0600	0.4800	0.0100	0.2300	128

Data calculées

	coord. fact.	COS²	Contribution
F1	-1.1749	0.0812	1.79% (12e contributeur)
F2	3.4865	0.7155	29.24% (1e contributeur)
F3	-0.0173	0.0000	0.0% (17e contributeur)
F4	-1.2038	0.0853	12.66% (3e contributeur)
F5	-0.9876	0.0574	11.86% (5e contributeur)
F6	-1.0056	0.0595	17.15% (3e contributeur)
F7	-0.0391	0.0001	0.1% (16e contributeur)
F8	-0.1264	0.0009	5.31% (5e contributeur)
F9	-0.0162	0.0000	1.25% (9e contributeur)
F10	0.0033	0.0000	0.26% (15e contributeur)

-----------------------------
Individu Double_Cheeseburger 
-----------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
Double_Cheeseburger	2.6300	1.3400	0.1500	0.1500	0.0700	0.5600	5.6100	0.1700	0.0100	0.0400	171

Data calculées

	coord. fact.	COS²	Contribution
F1	-1.4214	0.4055	2.63% (9e contributeur)
F2	-1.0827	0.2353	2.82% (6e contributeur)
F3	-1.3058	0.3423	7.11% (9e contributeur)
F4	0.1022	0.0021	0.09% (15e contributeur)
F5	0.0834	0.0014	0.08% (17e contributeur)
F6	-0.0635	0.0008	0.07% (17e contributeur)
F7	0.1183	0.0028	0.88% (9e contributeur)
F8	-0.2198	0.0097	16.06% (3e contributeur)
F9	0.0043	0.0000	0.09% (16e contributeur)
F10	-0.0279	0.0002	18.27% (3e contributeur)

--------------------------
Individu Double_Hamburger 
--------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
Double_Hamburger	2.4700	1.1000	0.1500	0.1200	0.0500	0.4800	3.5600	0.1900	0.0100	0.0400	146

Data calculées

	coord. fact.	COS²	Contribution
F1	-0.2617	0.0238	0.09% (17e contributeur)
F2	-0.7160	0.1780	1.23% (12e contributeur)
F3	-1.3675	0.6492	7.8% (5e contributeur)
F4	0.1023	0.0036	0.09% (14e contributeur)
F5	0.2089	0.0151	0.53% (13e contributeur)
F6	0.2123	0.0156	0.76% (11e contributeur)
F7	-0.4979	0.0860	15.52% (4e contributeur)
F8	0.2841	0.0280	26.84% (1e contributeur)
F9	-0.0403	0.0006	7.72% (3e contributeur)
F10	-0.0032	0.0000	0.24% (16e contributeur)

-----------------------------------
Individu Double_Bacon_Cheeseburger 
-----------------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
Double_Bacon_Cheeseburger	2.8200	1.4900	0.1700	0.1700	0.0800	0.5800	6.3500	0.1600	0.0100	0.0400	181

Data calculées

	coord. fact.	COS²	Contribution
F1	-2.1078	0.5537	5.77% (5e contributeur)
F2	-1.3087	0.2134	4.12% (5e contributeur)
F3	-1.3095	0.2137	7.15% (8e contributeur)
F4	0.0595	0.0004	0.03% (17e contributeur)
F5	0.0837	0.0009	0.09% (16e contributeur)
F6	-0.2525	0.0079	1.08% (8e contributeur)
F7	0.2635	0.0087	4.35% (6e contributeur)
F8	-0.0979	0.0012	3.19% (8e contributeur)
F9	0.0132	0.0000	0.83% (11e contributeur)
F10	0.0140	0.0000	4.63% (6e contributeur)

--------------------------------
Individu GardenSalad(nochicken) 
--------------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
GardenSalad(nochicken)	0.4300	0.2200	0.0200	0.0200	0.0200	0.0600	0.6200	0.0400	0.0200	0.0100	162

Data calculées

	coord. fact.	COS²	Contribution
F1	5.1642	0.9184	34.65% (1e contributeur)
F2	-0.8198	0.0231	1.62% (11e contributeur)
F3	-0.2854	0.0028	0.34% (15e contributeur)
F4	1.0558	0.0384	9.74% (4e contributeur)
F5	-0.6561	0.0148	5.24% (8e contributeur)
F6	0.2270	0.0018	0.87% (10e contributeur)
F7	0.0461	0.0001	0.13% (15e contributeur)
F8	-0.1255	0.0005	5.24% (6e contributeur)
F9	0.0261	0.0000	3.24% (5e contributeur)
F10	0.0080	0.0000	1.5% (11e contributeur)

---------------------------------
Individu KRAFT_MacaroniandCheese 
---------------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
KRAFT_MacaroniandCheese	1.4200	0.4000	0.0600	0.0400	0.0100	0.0900	3.0100	0.1900	0.0100	0.0400	113

Data calculées

	coord. fact.	COS²	Contribution
F1	3.3203	0.8965	14.32% (2e contributeur)
F2	-0.1485	0.0018	0.05% (14e contributeur)
F3	-0.4717	0.0181	0.93% (13e contributeur)
F4	-0.7834	0.0499	5.36% (7e contributeur)
F5	0.1774	0.0026	0.38% (14e contributeur)
F6	0.5999	0.0293	6.1% (7e contributeur)
F7	0.0623	0.0003	0.24% (13e contributeur)
F8	-0.1405	0.0016	6.57% (4e contributeur)
F9	-0.0016	0.0000	0.01% (17e contributeur)
F10	0.0077	0.0000	1.39% (12e contributeur)

-------------------------
Individu MuffinBlueberry 
-------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
MuffinBlueberry	3.6300	1.8600	0.0400	0.2000	0.0400	0.7500	3.5400	0.4200	0.0200	0.3100	113

Data calculées

	coord. fact.	COS²	Contribution
F1	-1.8115	0.1550	4.26% (6e contributeur)
F2	3.4469	0.5614	28.58% (2e contributeur)
F3	0.8257	0.0322	2.84% (12e contributeur)
F4	1.8648	0.1643	30.37% (1e contributeur)
F5	1.2006	0.0681	17.53% (1e contributeur)
F6	0.6276	0.0186	6.68% (5e contributeur)
F7	0.0361	0.0001	0.08% (17e contributeur)
F8	-0.0813	0.0003	2.2% (11e contributeur)
F9	-0.0054	0.0000	0.14% (15e contributeur)
F10	0.0016	0.0000	0.06% (17e contributeur)

------------------------------------------
Individu Original_Chicken_Sandwichw/oMayo 
------------------------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
Original_Chicken_Sandwichw/oMayo	2.2100	0.7400	0.1300	0.0800	0.0200	0.2400	6.3700	0.2400	0.0200	0.0200	190

Data calculées

	coord. fact.	COS²	Contribution
F1	1.2195	0.2938	1.93% (11e contributeur)
F2	-0.9673	0.1849	2.25% (9e contributeur)
F3	0.8821	0.1537	3.25% (11e contributeur)
F4	-0.8138	0.1308	5.78% (6e contributeur)
F5	1.0803	0.2306	14.2% (2e contributeur)
F6	-0.1029	0.0021	0.18% (15e contributeur)
F7	-0.1297	0.0033	1.05% (8e contributeur)
F8	-0.0417	0.0003	0.58% (15e contributeur)
F9	-0.0245	0.0001	2.85% (7e contributeur)
F10	-0.0308	0.0002	22.31% (2e contributeur)

----------------------------
Individu Rodeo_Cheeseburger 
----------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
Rodeo_Cheeseburger	2.7300	1.2500	0.1200	0.1300	0.0500	0.3500	4.6900	0.2900	0.0200	0.0700	128

Data calculées

	coord. fact.	COS²	Contribution
F1	-0.3609	0.1356	0.17% (16e contributeur)
F2	0.1098	0.0126	0.03% (15e contributeur)
F3	0.2119	0.0468	0.19% (16e contributeur)
F4	0.0878	0.0080	0.07% (16e contributeur)
F5	0.2258	0.0531	0.62% (12e contributeur)
F6	-0.6122	0.3903	6.36% (6e contributeur)
F7	-0.5672	0.3350	20.14% (2e contributeur)
F8	0.0699	0.0051	1.63% (13e contributeur)
F9	0.1138	0.0135	61.59% (1e contributeur)
F10	-0.0033	0.0000	0.26% (14e contributeur)

------------------------------------
Individu SpicyCHICK_NCRISP_Sandwich 
------------------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
SpicyCHICK_NCRISP_Sandwich	3.3800	1.9900	0.1000	0.2200	0.0400	0.2200	5.9600	0.2500	0.0100	0.0300	136

Data calculées

	coord. fact.	COS²	Contribution
F1	-1.4813	0.3375	2.85% (7e contributeur)
F2	0.0962	0.0014	0.02% (17e contributeur)
F3	1.6639	0.4258	11.55% (2e contributeur)
F4	-0.2130	0.0070	0.4% (12e contributeur)
F5	-1.0292	0.1629	12.88% (4e contributeur)
F6	0.6416	0.0633	6.98% (4e contributeur)
F7	0.0681	0.0007	0.29% (12e contributeur)
F8	0.0903	0.0013	2.71% (9e contributeur)
F9	0.0082	0.0000	0.32% (12e contributeur)
F10	0.0097	0.0000	2.2% (8e contributeur)

-------------------------------------------
Individu SpicyCHICK_NCRISP_Sandwichw/oMayo 
-------------------------------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
SpicyCHICK_NCRISP_Sandwichw/oMayo	2.6300	0.9600	0.1100	0.1100	0.0200	0.1800	5.8800	0.3100	0.0200	0.0400	114

Data calculées

	coord. fact.	COS²	Contribution
F1	0.8444	0.1834	0.93% (14e contributeur)
F2	-0.1092	0.0031	0.03% (16e contributeur)
F3	1.3647	0.4791	7.77% (6e contributeur)
F4	-0.8195	0.1728	5.87% (5e contributeur)
F5	0.6361	0.1041	4.92% (9e contributeur)
F6	-0.1691	0.0074	0.48% (12e contributeur)
F7	-0.4308	0.0477	11.62% (5e contributeur)
F8	-0.0877	0.0020	2.56% (10e contributeur)
F9	-0.0392	0.0004	7.3% (4e contributeur)
F10	0.0171	0.0001	6.83% (5e contributeur)

------------------
Individu Tacos(2) 
------------------

Data initiales

	Calories	Fat_Cal	Protein	Fat	Sat_Fat	Chol	Sodium	Carbs	Fiber	Sugar	Serving_size
ITEM
Tacos(2)	1.9000	1.1500	0.0800	0.1300	0.0500	0.1700	4.3100	0.1000	0.0300	0.0200	174

Data calculées

	coord. fact.	COS²	Contribution
F1	1.4500	0.2142	2.73% (8e contributeur)
F2	-0.9910	0.1001	2.36% (8e contributeur)
F3	1.6146	0.2656	10.88% (3e contributeur)
F4	1.5231	0.2364	20.26% (2e contributeur)
F5	-0.8092	0.0667	7.97% (6e contributeur)
F6	-1.0666	0.1159	19.3% (2e contributeur)
F7	0.0556	0.0003	0.19% (14e contributeur)
F8	0.0771	0.0006	1.98% (12e contributeur)
F9	-0.0421	0.0002	8.41% (2e contributeur)
F10	-0.0090	0.0000	1.91% (9e contributeur)