chargement des données

setwd("C:/Users/ROSI/Desktop/MASTER 1 S7 2IE 2024/R_studio_GEAAH/")
sortie = read.csv(file="variable_rti.csv", header = TRUE, sep = ";", quote = "\"",
                   dec = ",", row.names = 1)

ANALYSE DE DONNÉES

Matrice de corrélation linéaire:

sortie[1:10]
##                POP2019 PROSPECIFIQUE  GENERE RECYCLE DECHARGE INCINERE MAL_GERE
## CIV           28193014         0.103 1059916   63595   317975    10599   678346
## TOGO           8463068         0.057  176074   10564    52822     1761   112687
## GUINEE        13034349         0.030  142726    8564    42818     1427    91345
## BENIN         12726761         0.043  199747   11985    59924     1997   127838
## BURKINA FASO  20961954         0.043  328998   19740    98699     3290   210559
## MALI          21068406         0.043  330669   19840    99201     3307   211628
## NIGER         22947765         0.043  360165   21610   108050     3602   230506
## CAMEROUN      25506096         0.046  428247   25695   128474     4282   274078
## NEGERIA      209485636         0.103 7875612  472537  2362684    78756  5040392
## GHANA         31258942         0.040  456381   27383   136914     4564   292084
##              EMIT_OCEAN EMIT_SURFACE MORTALITE_ANIMAL
## CIV                4784       639645             0.40
## TOGO                436       106617             0.48
## GUINEE             2347        84430             0.63
## BENIN              1639       119807             0.55
## BURKINA FASO       2096       197935             0.72
## MALI               2107       198940             0.74
## NIGER              2295       216686             0.79
## CAMEROUN          10671       249703             0.45
## NEGERIA           18640      4769732             0.52
## GHANA              4185       273294             0.39
cor(sortie[1:10])
##                     POP2019 PROSPECIFIQUE     GENERE    RECYCLE   DECHARGE
## POP2019           1.0000000     0.6673830  0.9960622  0.9960623  0.9960622
## PROSPECIFIQUE     0.6673830     1.0000000  0.7141018  0.7141013  0.7141018
## GENERE            0.9960622     0.7141018  1.0000000  1.0000000  1.0000000
## RECYCLE           0.9960623     0.7141013  1.0000000  1.0000000  1.0000000
## DECHARGE          0.9960622     0.7141018  1.0000000  1.0000000  1.0000000
## INCINERE          0.9960625     0.7141014  1.0000000  1.0000000  1.0000000
## MAL_GERE          0.9960622     0.7141017  1.0000000  1.0000000  1.0000000
## EMIT_OCEAN        0.8906212     0.6127992  0.8781629  0.8781632  0.8781629
## EMIT_SURFACE      0.9959988     0.7141560  0.9999983  0.9999983  0.9999983
## MORTALITE_ANIMAL -0.1426739    -0.4310263 -0.1604675 -0.1604674 -0.1604674
##                    INCINERE   MAL_GERE EMIT_OCEAN EMIT_SURFACE MORTALITE_ANIMAL
## POP2019           0.9960625  0.9960622  0.8906212    0.9959988       -0.1426739
## PROSPECIFIQUE     0.7141014  0.7141017  0.6127992    0.7141560       -0.4310263
## GENERE            1.0000000  1.0000000  0.8781629    0.9999983       -0.1604675
## RECYCLE           1.0000000  1.0000000  0.8781632    0.9999983       -0.1604674
## DECHARGE          1.0000000  1.0000000  0.8781629    0.9999983       -0.1604674
## INCINERE          1.0000000  1.0000000  0.8781597    0.9999983       -0.1604627
## MAL_GERE          1.0000000  1.0000000  0.8781629    0.9999983       -0.1604675
## EMIT_OCEAN        0.8781597  0.8781629  1.0000000    0.8772738       -0.3257655
## EMIT_SURFACE      0.9999983  0.9999983  0.8772738    1.0000000       -0.1597501
## MORTALITE_ANIMAL -0.1604627 -0.1604675 -0.3257655   -0.1597501        1.0000000
matcor=cor(sortie[1:10])

Visualisation graphique de la corrélation

pairs(sortie[,1:10])

r=matcor

psych::principal(r)
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## Principal Components Analysis
## Call: psych::principal(r = r)
## Standardized loadings (pattern matrix) based upon correlation matrix
##                    PC1    h2     u2 com
## POP2019           0.99 0.979 0.0207   1
## PROSPECIFIQUE     0.76 0.573 0.4266   1
## GENERE            1.00 0.991 0.0093   1
## RECYCLE           1.00 0.991 0.0093   1
## DECHARGE          1.00 0.991 0.0093   1
## INCINERE          1.00 0.991 0.0093   1
## MAL_GERE          1.00 0.991 0.0093   1
## EMIT_OCEAN        0.90 0.818 0.1820   1
## EMIT_SURFACE      1.00 0.990 0.0095   1
## MORTALITE_ANIMAL -0.23 0.054 0.9455   1
## 
##                 PC1
## SS loadings    8.37
## Proportion Var 0.84
## 
## Mean item complexity =  1
## Test of the hypothesis that 1 component is sufficient.
## 
## The root mean square of the residuals (RMSR) is  0.06 
## 
## Fit based upon off diagonal values = 1