From 568f38a59aa891d6e7473315f352e4a2c18ed29c Mon Sep 17 00:00:00 2001 From: Arthur DANJOU Date: Thu, 6 Nov 2025 11:24:24 +0100 Subject: [PATCH] Add data visualisation TP1 and TP2 HTML files and assets, remove GEMINI.md and studies.Rproj --- GEMINI.md | 28 - M2/Data Visualisation/tp1/tp1.html | 1345 +++++++++++ .../figure-html/unnamed-chunk-10-1.png | Bin 0 -> 211134 bytes .../figure-html/unnamed-chunk-12-1.png | Bin 0 -> 95880 bytes .../figure-html/unnamed-chunk-16-1.png | Bin 0 -> 135857 bytes .../figure-html/unnamed-chunk-17-1.png | Bin 0 -> 155153 bytes .../figure-html/unnamed-chunk-18-1.png | Bin 0 -> 177806 bytes .../figure-html/unnamed-chunk-19-1.png | Bin 0 -> 184312 bytes .../figure-html/unnamed-chunk-21-1.png | Bin 0 -> 476053 bytes .../figure-html/unnamed-chunk-4-1.png | Bin 0 -> 165044 bytes .../figure-html/unnamed-chunk-5-1.png | Bin 0 -> 185792 bytes .../figure-html/unnamed-chunk-6-1.png | Bin 0 -> 149596 bytes .../figure-html/unnamed-chunk-7-1.png | Bin 0 -> 198628 bytes .../figure-html/unnamed-chunk-8-1.png | Bin 0 -> 212339 bytes .../figure-html/unnamed-chunk-9-1.png | Bin 0 -> 191799 bytes ...p-81267100e462c21b3d6c0d5bf76a3417.min.css | 12 + .../libs/bootstrap/bootstrap-icons.css | 2078 +++++++++++++++++ .../libs/bootstrap/bootstrap-icons.woff | Bin 0 -> 176200 bytes .../tp1_files/libs/bootstrap/bootstrap.min.js | 7 + .../tp1_files/libs/clipboard/clipboard.min.js | 7 + .../tp1_files/libs/kePrint-0.0.1/kePrint.js | 8 + .../libs/lightable-0.0.1/lightable.css | 272 +++ .../libs/pagedtable-1.1/css/pagedtable.css | 142 ++ .../libs/pagedtable-1.1/js/pagedtable.js | 1151 +++++++++ .../tp1_files/libs/quarto-html/anchor.min.js | 9 + .../tp1_files/libs/quarto-html/popper.min.js | 6 + ...hting-37eea08aefeeee20ff55810ff984fec1.css | 236 ++ .../tp1/tp1_files/libs/quarto-html/quarto.js | 845 +++++++ .../libs/quarto-html/tabsets/tabsets.js | 95 + .../tp1/tp1_files/libs/quarto-html/tippy.css | 1 + .../libs/quarto-html/tippy.umd.min.js | 2 + M2/Data Visualisation/tp2/tp2.html | 900 +++++++ .../figure-html/unnamed-chunk-4-1.png | Bin 0 -> 109729 bytes .../figure-html/unnamed-chunk-5-1.png | Bin 0 -> 74564 bytes .../figure-html/unnamed-chunk-6-1.png | Bin 0 -> 260408 bytes ...p-81267100e462c21b3d6c0d5bf76a3417.min.css | 12 + .../libs/bootstrap/bootstrap-icons.css | 2078 +++++++++++++++++ .../libs/bootstrap/bootstrap-icons.woff | Bin 0 -> 176200 bytes .../tp2_files/libs/bootstrap/bootstrap.min.js | 7 + .../tp2_files/libs/clipboard/clipboard.min.js | 7 + .../libs/pagedtable-1.1/css/pagedtable.css | 142 ++ .../libs/pagedtable-1.1/js/pagedtable.js | 1151 +++++++++ .../tp2_files/libs/quarto-html/anchor.min.js | 9 + .../tp2_files/libs/quarto-html/popper.min.js | 6 + ...hting-37eea08aefeeee20ff55810ff984fec1.css | 236 ++ .../tp2/tp2_files/libs/quarto-html/quarto.js | 845 +++++++ .../libs/quarto-html/tabsets/tabsets.js | 95 + .../tp2/tp2_files/libs/quarto-html/tippy.css | 1 + .../libs/quarto-html/tippy.umd.min.js | 2 + studies.Rproj | 13 - 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-## Directory Overview - -This directory is a curated collection of academic projects completed throughout your mathematics and data science studies. It serves as a portfolio of your work, showcasing projects from your Bachelor's (L3) and Master's (M1, M2) degrees. The projects are implemented in Python (using Jupyter Notebooks) and R (using R Markdown), with some SQL scripts included. - -## Key Files - -This directory contains a variety of projects that demonstrate your skills in different areas of mathematics and data science. Here are some of the key files and the topics they cover: - -* **L3/Analyse Matricielle/TP1_Methode_de_Gauss.ipynb:** A Jupyter notebook on numerical analysis, implementing the Gauss method for solving linear systems. -* **M1/Statistical Learning/TP1_A_first_example.ipynb:** An introduction to statistical learning with Python, covering linear and polynomial regression using `scikit-learn`. -* **M2/Machine Learning/TP_1/2025_TP_1_M2_ISF.ipynb:** A machine learning project in Python, focused on data preparation and analysis for modeling. -* **M1/General Linear Models/Projet/GLM Code - DANJOU & DUROUSSEAU.rmd:** A project in R on Generalized Linear Models (GLMs), analyzing a dataset of bike rentals. -* **M2/Linear Models/Biaised Models/Code_Lec3.Rmd:** An R Markdown file exploring biased regression models like Lasso, Ridge, and ElasticNet. -* **M2/SQL/scripts/DANJOU_Arthur.sql:** A SQL script with exercises on database queries. -* **pyproject.toml:** This file lists the Python dependencies for the projects, including libraries like `numpy`, `pandas`, `scikit-learn`, `matplotlib`, `seaborn`, `tensorflow`, and `keras`. - -## Usage - -This directory is a valuable resource for understanding your skills and experience in data analysis, statistical modeling, and machine learning. The projects can be reviewed to see your approach to problem-solving and your proficiency with various tools and technologies. - -When working in this directory, you can ask me to: - -* **Explain a specific project or piece of code.** -* **Help you with a new project or assignment.** -* **Find specific information within the files.** -* **Generate summaries or reports based on the project content.** diff --git a/M2/Data Visualisation/tp1/tp1.html b/M2/Data Visualisation/tp1/tp1.html new file mode 100644 index 0000000..2a82a6c --- /dev/null +++ b/M2/Data Visualisation/tp1/tp1.html @@ -0,0 +1,1345 @@ + + + + + + + + + + +Prise en main de ggplot2 + + + + + + + + + + + + + + + + + + + + + + + + +
+ +
+ +
+
+

Prise en main de ggplot2

+
+ + +
+
Auteur·rice
+
Affiliation
+ +
+

Quentin Guibert

+
+
+

+ Université Paris-Dauphine | Master ISF +

+
+
+ +
+ + +
+
Date de publication
+
+

Invalid Date

+
+
+ + +
+ + + +
+ + +
+

Objectifs du TP

+

L’objectif de ce TP vise à se familiariser avec le package ggplot2 de R. Il s’agit de faire des manipulations graphiques élémentaires et d’interpréter les résultats de ces visualisations.

+

Dans un premier temps, vous pouvez suivre l’exemple introductif en répliquant le code fourni. Dans un deuxième temps, il convient de réaliser l’exercice point par point.

+
+
+

Prérequis

+
    +
  • Avoir installer R ici.
  • +
  • Avoir installer un IDE, par exemple RStudio ici.
  • +
  • Créer un nouveau projet (File, puis New Projet) dans un dossier sur votre ordinateur.
  • +
  • Télécharger ici les fichiers nécessaires au TD.
  • +
+

Vous pouvez ensuite écrire vos codes soit :

+
    +
  • En ouvrant un nouveau script .R ;
  • +
  • En ouvrant le ouvrant le rapport Rmarkdown 3-td_ggplot2 - enonce. Certains codes sont partiels et sont à compléter (indication ???). N’oubliez pas de modifier l’option eval = TRUE pour que les calculs puissent être réalisés.
  • +
+
+
+

Exemple introductif

+

Pour illustrer cette première partie, nous reprenons l’exemple introductif fourni par @wickham2023 sur le jeu de données penguins du package palmerpenguins. Ce jeu de données s’intèresse des mesures réalisées sur des manchots sur 3 îles de l’archipelle Palmer.

+
+

Données

+

Dans un premier temps, il faut installer le package et le charger.

+
+
# install.packages("palmerpenguins") #nolint
+library(palmerpenguins)
+
+

Ce jeu de données contient 344 observations où chaque ligne correspond à un individu.

+
+
paged_table(penguins, options = list(rows.print = 15))
+
+
+ +
+
+
+

On se concentre plus particulièrement sur les variables suivantes :

+
    +
  • species : l’espèce de manchot ;
  • +
  • flipper_length_mm : la longueur de la nageoire en mm ;
  • +
  • body_mass_g : la masse en gramme.
  • +
+

Pour plus détails, voir l’aide ?penguins.

+
+
+

But de la visualisation

+

On s’intéresse au lien entre le masse et la taille des nageoires des manchots :

+
    +
  • ceux dont les nageoires sont les plus longues sont-ils plus lourds que les manchots aux nageoires courtes ?
  • +
  • si oui quelle est le type de relation (linéaire, croissante, décroissante, …) ?
  • +
  • quels facteurs influencent également cette relation (lieu, l’espèce, … ) ?
  • +
+

On cherche à recréer la figure suivante.

+

+
+
+

Création de la figure étape par étape

+
+

Etape 1 : Scatterplot

+

On commence par créer un scatterplot pour examiner la relation entre la masse et la taille de la nageoire.

+
+
ggplot(
+  data = penguins,
+  mapping = aes(x = flipper_length_mm, y = body_mass_g)
+) +
+  geom_point()
+
+
+
+

+
+
+
+
+

Cette figure fait clairement apparaître une relation croissante et a priori linéaire entre les deux variables.

+
+

Un message d’erreur apparaît pour deux individus avec des données manquantes. Ils sont automatiquement exclus.

+
+
+
+

Etape 2 : Ajout d’élements esthétiques

+

On cherche à présent exhiber le rôle de l’espèce à partir d’une couleur. Trois espèces sont présents, ainsi l’ajout de 3 couleurs à la figure ne devrait pas surcharger le graphique.

+
+
ggplot(
+  data = penguins,
+  mapping = aes(x = flipper_length_mm, y = body_mass_g, color = species)
+) +
+  geom_point()
+
+
+
+

+
+
+
+
+

Compte tenu du nombre important de points, nous pouvons renforcer les différences par espèce en ajoutant une variation de forme aux points.

+
+
ggplot(
+  data = penguins,
+  mapping = aes(x = flipper_length_mm, y = body_mass_g)
+) +
+  geom_point(
+    mapping = aes(
+      color = species,
+      shape = species
+    )
+  )
+
+
+
+

+
+
+
+
+
+
+

Etape 3 : Ajout d’une géométrie

+

Voyons à présent comment interpréter la nature de la relation entre masse et longueur de la nageoire. Pour ce faire, nous essayons d’ajout des courbes de tendance. Nous commençons par une tendance linéaire.

+
+
ggplot(
+  data = penguins,
+  mapping = aes(x = flipper_length_mm, y = body_mass_g)
+) +
+  geom_point(
+    mapping = aes(
+      color = species,
+      shape = species
+    )
+  ) +
+  geom_smooth(method = "lm")
+
+
+
+

+
+
+
+
+

La même figure peut être générée par espèce en déplaçant l’argument color = species.

+
+
ggplot(
+  data = penguins,
+  mapping = aes(x = flipper_length_mm, y = body_mass_g, color = species)
+) +
+  geom_point(
+    mapping = aes(
+      shape = species
+    )
+  ) +
+  geom_smooth(method = "lm")
+
+
+
+

+
+
+
+
+

Les pentes entre les espèces ne sont pas si éloignées. Nous décidons que conserver une relation commune pour toutes espèces. Pour tester si la nature linéaire de la relation est a priori une bonne hypothèse, nous considérons un lissage non-paramétrique.

+
+
ggplot(
+  data = penguins,
+  mapping = aes(x = flipper_length_mm, y = body_mass_g)
+) +
+  geom_point(
+    mapping = aes(
+      color = species,
+      shape = species
+    )
+  ) +
+  geom_smooth(method = "loess")
+
+
+
+

+
+
+
+
+

L’ajout d’un lissage non-paramétrique permet d’affiner l’adéquation aux données, mais sans pour autant clairement remettre en cause la tendance linéaire qui sera donc conservée.

+
+
+

Etape 4 : Ajout des titres et changement de thème

+

Afin de finaliser la figure, nous ajouter :

+
    +
  • un titre ;
  • +
  • un sous-titre ;
  • +
  • des titres aux axes ;
  • +
  • un titre à la légende.
  • +
+

Ces informations sont ajoutées avec labs().

+

De plus, nous modifions le thème avec la commande theme_bw().

+
+
ggplot(
+  data = penguins,
+  mapping = aes(x = flipper_length_mm, y = body_mass_g)
+) +
+  geom_point(aes(color = species, shape = species)) +
+  geom_smooth(method = "lm") +
+  labs(
+    title = "Masse et taille de la nageoire",
+    subtitle = "Manchots d'Adelie, a
+    jugulaire et de Gentoo",
+    x = "Longueur de la nageoire (mm)",
+    y = "Masse (g)",
+    color = "Espece",
+    shape = "Espece"
+  ) +
+  scale_color_colorblind() +
+  theme_bw()
+
+
+
+

+
+
+
+
+
+
+
+
+
+

Exercice

+
+

Données

+

Nous travaillons avec les jeux de données FreMTPL2freq et FreMTPL2sev du package Casdatasets. Ces données ont été préalablement pré-formatées et regroupées.

+

Ce jeux de données regroupent les caractéristiques de 677 991 polices de responsabilité civile automobile, observées principalement sur une année. Dans les données regroupées, on dispose des numéros de sinistre par police, des montants de sinistre correspondants, des caractéristiques du risque et du nombre de sinistres.

+

On présente ci-dessous un aperçu des données.

+
+
# Folds
+fold <- getwd()
+
+# Load data
+# load(paste0(fold, "/M2/Data Visualisation/tp1", "/data/datafreMPTL.RData")) # VSCode
+load(paste0(fold, "/data/datafreMPTL.RData")) # RStudio
+paged_table(dat, options = list(rows.print = 15))
+
+
+ +
+
+
+

Le tableau suivant présente une définition des variables.

+
+
kableExtra::kable(
+  data.frame(
+    Variable = c(
+      "IDpol",
+      "Exposure",
+      "VehPower",
+      "VehAge",
+      "DrivAge",
+      "BonusMalus",
+      "VehBrand",
+      "VehGas",
+      "Area",
+      "Density",
+      "Region",
+      "ClaimTotal",
+      "ClaimNb"
+    ),
+    Description = c(
+      "Identifiant de la police",
+      "Exposition au risque",
+      "Puissance du véhicule",
+      "Age du véhicule en année",
+      "Age du conducteur en année",
+      "Coefficient de bonus-malus",
+      "Marque du véhicule",
+      "Carburant du véhicule",
+      "Catégorie correspondant à la densité de la zone assurée",
+      "Densité de population",
+      "Region (selon la classication 1970-2015)",
+      "Montant total des sinistres",
+      "Nombre de sinistres sur la période"
+    ),
+    Type = c(
+      rep("Reel", 2),
+      rep("Entier", 4),
+      rep("Cat", 3),
+      "Entier",
+      "Cat",
+      rep("Reel", 2)
+    )
+  ),
+  booktabs = TRUE
+)
+
+ +++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
VariableDescriptionType
IDpolIdentifiant de la policeReel
ExposureExposition au risqueReel
VehPowerPuissance du véhiculeEntier
VehAgeAge du véhicule en annéeEntier
DrivAgeAge du conducteur en annéeEntier
BonusMalusCoefficient de bonus-malusEntier
VehBrandMarque du véhiculeCat
VehGasCarburant du véhiculeCat
AreaCatégorie correspondant à la densité de la zone assuréeCat
DensityDensité de populationEntier
RegionRegion (selon la classication 1970-2015)Cat
ClaimTotalMontant total des sinistresReel
ClaimNbNombre de sinistres sur la périodeReel
+
+
# Short summary
+str(dat)
+
+
'data.frame':   135601 obs. of  13 variables:
+ $ IDpol     : num  5089457 2215917 2202141 1077071 3044896 ...
+ $ Exposure  : num  0.21 0.25 1 0.07 0.09 0.08 1 1 0.49 0.8 ...
+ $ VehPower  : int  7 5 7 7 7 7 13 4 7 4 ...
+ $ VehAge    : int  10 2 6 4 7 4 3 14 8 2 ...
+ $ DrivAge   : int  36 40 79 42 45 53 53 32 31 42 ...
+ $ BonusMalus: int  50 85 54 57 100 53 50 60 71 50 ...
+ $ VehBrand  : Factor w/ 11 levels "B1","B2","B3",..: 1 3 10 2 7 2 1 2 3 9 ...
+ $ VehGas    : Factor w/ 2 levels "Diesel","Regular": 2 2 1 1 1 1 2 2 2 2 ...
+ $ Area      : Factor w/ 6 levels "A","B","C","D",..: 5 5 3 5 6 3 5 4 5 2 ...
+ $ Density   : int  8 8 6 8 10 5 8 7 9 4 ...
+ $ Region    : Factor w/ 21 levels "Alsace","Aquitaine",..: 21 7 7 21 12 20 7 16 21 7 ...
+ $ ClaimTotal: num  0 0 0 0 0 0 0 0 0 0 ...
+ $ ClaimNb   : num  0 0 0 0 0 0 0 0 0 0 ...
+
+
+

Pour plus de détails, consulter l’aide ?CASdatasets::freMTPL2freq.

+
+
+
+

But de la visualisation

+

Nous effectuons une première analyse descriptive de données et cherchons à étudier la relation entre :

+
    +
  • la fréquence, calculée avec les variables ClaimNb et Exposure (période d’exposition en année).
  • +
  • les variables Area et DrivAge.
  • +
+

Le but de la visualisation est de fait ressortir les liens entre la fréquence et ces deux variables.

+
+

Etape 1 : Visualisation de la fréquence et de l’exposition

+
+

A partir des données dat :

+
    +
  • afficher les statistiques descriptives du nombre de sinistres ClaimNb et de la variable Exposure ;
  • +
  • afficher des histogrammes pour visualiser leur distribution ;
  • +
  • afficher les figures côte a côte avec la fonction plot_grid().
  • +
+

Essayer de choisir un thème de couleur et un écartement des barres de l’histogramme facilitant sa lisibilité.

+
+
+

On pourra développer une fonction qui utilise geom_histogram() sous la package ggplot2.

+
+
+
# Descriptive statistics
+summary(dat$ClaimNb)
+
+
   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
+0.00000 0.00000 0.00000 0.03919 0.00000 3.00000 
+
+
summary(dat$Exposure)
+
+
    Min.  1st Qu.   Median     Mean  3rd Qu.     Max. 
+0.002732 0.170000 0.490000 0.527782 0.990000 1.000000 
+
+
p1 <- ggplot(dat) +
+  geom_histogram(
+    aes(x = ClaimNb),
+    binwidth = 0.25,
+    fill = "lightblue",
+    color = "black"
+  ) +
+  labs(
+    title = "Distribution du nombre de sinistres",
+    x = "Nombre de sinistres",
+    y = "Effectif"
+  ) +
+  theme_bw()
+
+p2 <- ggplot(dat) +
+  geom_histogram(
+    aes(x = Exposure),
+    binwidth = 0.05,
+    fill = "lightblue",
+    color = "black"
+  ) +
+  labs(title = "Exposition", x = "Nombre de sinistres", y = "Effectif") +
+  theme_bw()
+
+plot_grid(p1, p2, ncol = 2)
+
+
+
+

+
+
+
+
+
+
+

Etape 2 : Calculer la fréquence

+
+

Construire un tableau présentant l’exposition cumulée et le nombre d’observations avec 0 sinistre, 1 sinistre, …

+
+
+
dat |>
+  group_by(ClaimNb) |>
+  summarise(n = n(), Exposure = round(sum(Exposure), 0)) |>
+  kable(
+    col_names = c(
+      "Nombre de sinistres",
+      "Nombres d'observations",
+      "Exposition totale"
+    )
+  ) |>
+  kable_styling(full_width = FALSE)
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ClaimNbnExposure
013056368095
147713294
2258172
396
+
+
+
+
pf_freq <- round(sum(dat$ClaimNb) / sum(dat$Exposure), 4)
+pf_freq
+
+
[1] 0.0743
+
+
+

Ce calcul de fréquence sera ensuite utile pour l’affichage des résultats.

+
+
+

Etape 3 : Calculer l’exposition et la fréquence par variable

+
+

Pour la variable DrivAge, présenter :

+
    +
  1. un histogramme de l’exposition en fonction de cette variable.
  2. +
  3. un histogramme de la fréquence moyenne de sinistres en fonction de cette variable.
  4. +
+

Remplacer ensuite le second histogramme par un scatter plot avec une courbe de tendance. Est-ce plus clair ?

+

Indice

+

On pourra développer une fonction qui utilise geom_bar() sous la package ggplot2.

+
+
+
# On regroupe selon les modalites de la DrivAge
+# l'exposition, le nombre de sinistres et la frequence
+df_plot <- dat |>
+  group_by(DrivAge) |>
+  summarize(
+    exp = sum(Exposure),
+    nb_claims = sum(ClaimNb),
+    freq = sum(ClaimNb) / sum(Exposure)
+  )
+
+# Histogramme exposition
+p1 <- ggplot(df_plot, aes(x = DrivAge, y = exp)) +
+  geom_bar(stat = "identity", fill = "grey", color = "black", alpha = 0.5) +
+  labs(x = "Age du conducteur", y = "Exposition en années") +
+  theme_bw()
+
+# Histogramme frequence
+p2 <- ggplot(df_plot, aes(x = DrivAge, y = freq)) +
+  geom_bar(stat = "identity", fill = "grey", color = "black", alpha = 0.5) +
+  labs(x = "Age du conducteur", y = "Frequence") +
+  theme_bw()
+
+plot_grid(p1, p2, labels = c("A", "B"), label_size = 12)
+
+
+
df_plot <- dat |>
+  group_by(DrivAge) |>
+  summarize(
+    exp = sum(Exposure),
+    nb_claims = sum(ClaimNb),
+    freq = sum(ClaimNb) / sum(Exposure)
+  )
+
+# Scatter plot frequence
+p3 <- ggplot(df_plot, aes(x = DrivAge, y = freq)) +
+  geom_point() +
+  geom_smooth() +
+  labs(x = "Age du conducteur", y = "Frequence") +
+  theme_bw()
+p3
+
+
+
+

+
+
+
+
+
+
+

Etape 4 : Examiner l’intéraction avec une autre variable

+
+

A partir du scatter plot réalisé à l’étape précédente, distinguer les évolutions de fréquence en fonction de DrivAge et de BonusMalus.

+

Ce graphique vous paraît-il transmettre un message clair ? Proposez des améliorations en modifiant les variables DrivAge et BonusMalus.

+
+
+
# On regroupe selon les modalites de la DrivAge et de Area
+# l'exposition, le nombre de sinistres et la frequence
+df_plot <- dat |>
+  group_by(DrivAge, BonusMalus) |>
+  summarize(
+    exp = sum(Exposure),
+    nb_claims = sum(ClaimNb),
+    freq = sum(ClaimNb) / sum(Exposure)
+  )
+
+p4 <- ggplot(df_plot, aes(x = DrivAge, y = freq, color = BonusMalus)) +
+  geom_point() +
+  geom_smooth() +
+  labs(x = "Age du conducteur", y = "Frequence", color = "Bonus-Malus") +
+  theme_bw()
+p4
+
+
+
+

+
+
+
+
+

On propose 4 ajustements :

+
    +
  • Exclure les âges extrêmes au-delà de 85 ans pour lesquels l’exposition est très faible.
  • +
  • Faire des classes d’âges.
  • +
  • Limiter le Bonus-Malus à 125.
  • +
  • Faire des classes de Bonus-Malus.
  • +
+
+
# Classes d'âges pour Bonus-Malus
+lim_classes <- c(50, 75, 100, 125, Inf)
+
+# Exclusion des donnees "extremes" et faire les regroupement
+df_plot <- dat |>
+  filter(DrivAge <= 85, BonusMalus <= 125) |>
+  # regroupement en classes d'ages de 5 ans
+  mutate(DrivAge = ceiling(pmin(DrivAge, 85) / 5) * 5) |>
+  mutate(
+    BonusMalus = cut(BonusMalus, breaks = lim_classes, include.lowest = TRUE)
+  )
+
+# On regroupe selon les modalites de la DrivAge et de Area
+# l'exposition, le nombre de sinistres et la frequence
+df_plot <- df_plot |>
+  group_by(DrivAge, BonusMalus) |>
+  summarize(
+    exp = sum(Exposure),
+    nb_claims = sum(ClaimNb),
+    freq = sum(ClaimNb) / sum(Exposure)
+  )
+
+# Scatter plot frequence
+p5 <- ggplot(df_plot, aes(x = DrivAge, y = freq, color = BonusMalus)) +
+  geom_point() +
+  geom_smooth() +
+  labs(x = "Age du conducteur", y = "Frequence", color = "Bonus-Malus") +
+  theme_bw()
+p5
+
+
+
+

+
+
+
+
+
+
+

Conclure

+
+

Comparer à présenter comment l’exposition se répartie entre âge et bonus-malus.

+
+
+
# Histogramme plot frequence
+p6 <- ggplot(df_plot, aes(x = DrivAge, y = exp, fill = BonusMalus)) +
+  geom_bar(stat = "identity", color = "black", alpha = 0.5) +
+  scale_x_continuous(breaks = seq(20, 85, 20), limits = c(20, 85)) +
+  labs(x = "Age du conducteur", y = "Exposition en années") +
+  theme_bw()
+
+
+# Ajustement des legendes pour faire un graphique multiple
+p5 <- p5 +
+  theme(
+    legend.position = "bottom"
+  ) +
+  labs(color = "BonusMalus")
+p6 <- p6 +
+  theme(
+    legend.position = "bottom"
+  ) +
+  labs(fill = "BonusMalus")
+
+# Creation d'un graphique avec deux figures et une légende commune
+plot_grid(p6, p5, ncol = 2)
+
+
+
+

+
+
+
+
+
+
+

Bonus - Analyse des couples

+
+

En traitant toutes les variables comme des variables catégorielles, analyser graphiquement comment évolue la fréquence de sinistres selon les couples de variables.

+

Compléter pour cela la fonction suivante et appliquer la à différents couples.

+
+
# Fonction d'analyse bivariée
+# df : nom du data.frame
+# var1 : nom de la variable explicative 1
+# var2 : nom de la variable explicative 2
+plot_pairwise_disc <- function(df, var1, var2) {
+  df <- rename(df, "varx" = all_of(var1), "vary" = all_of(var2))
+
+  # replace variable vname by the binning variable
+  if (is.numeric(df$varx)) {
+    df <- df |>
+      mutate(varx = ntile(varx, 5))
+  }
+
+  if (is.numeric(df$vary)) {
+    df <- df |>
+      mutate(vary = ntile(vary, 5), vary = factor(vary))
+  }
+
+  df |>
+    group_by(varx, vary) |>
+    summarize(
+      exp = sum(Exposure),
+      nb_claims = sum(ClaimNb),
+      freq = sum(ClaimNb) / sum(Exposure), .groups = "drop"
+    ) |>
+    ggplot(aes(x = varx, y = freq, colour = vary, group = vary), alpha = 0.3) +
+    geom_point() +
+    geom_line() +
+    theme_bw() +
+    labs(x = var1, y = "Frequence", colour = var2)
+}
+
+
+
p1 <- plot_pairwise_disc(dat, "DrivAge", "BonusMalus")
+p2 <- plot_pairwise_disc(dat, "VehAge", "BonusMalus")
+p3 <- plot_pairwise_disc(dat, "BonusMalus", "VehBrand")
+p4 <- plot_pairwise_disc(dat, "VehBrand", "Area")
+p5 <- plot_pairwise_disc(dat, "BonusMalus", "VehGas")
+p6 <- plot_pairwise_disc(dat, "BonusMalus", "Area")
+p7 <- plot_pairwise_disc(dat, "DrivAge", "Area")
+p8 <- plot_pairwise_disc(dat, "VehPower", "VehGas")
+grid.arrange(p1, p2, p3, p4, p5, p6, p7, p8, ncol = 2)
+
+
+
+

+
+
+
+
+
+
+
+
+
+

Informations de session

+
+
sessionInfo()
+
+
R version 4.5.1 (2025-06-13)
+Platform: aarch64-apple-darwin20
+Running under: macOS Tahoe 26.0.1
+
+Matrix products: default
+BLAS:   /Library/Frameworks/R.framework/Versions/4.5-arm64/Resources/lib/libRblas.0.dylib 
+LAPACK: /Library/Frameworks/R.framework/Versions/4.5-arm64/Resources/lib/libRlapack.dylib;  LAPACK version 3.12.1
+
+locale:
+[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8
+
+time zone: Europe/Paris
+tzcode source: internal
+
+attached base packages:
+[1] grid      stats     graphics  grDevices utils     datasets  methods  
+[8] base     
+
+other attached packages:
+ [1] palmerpenguins_0.1.1 kableExtra_1.4.0     cowplot_1.2.0       
+ [4] ggthemes_5.1.0       rmarkdown_2.30       tidyr_1.3.1         
+ [7] dplyr_1.1.4          plotly_4.11.0        RColorBrewer_1.1-3  
+[10] formattable_0.2.1    scales_1.4.0         locfit_1.5-9.12     
+[13] gridExtra_2.3        ggplot2_4.0.0        lattice_0.22-7      
+
+loaded via a namespace (and not attached):
+ [1] generics_0.1.4    xml2_1.4.0        stringi_1.8.7     digest_0.6.37    
+ [5] magrittr_2.0.4    evaluate_1.0.5    fastmap_1.2.0     Matrix_1.7-4     
+ [9] jsonlite_2.0.0    httr_1.4.7        mgcv_1.9-3        purrr_1.1.0      
+[13] viridisLite_0.4.2 lazyeval_0.2.2    textshaping_1.0.3 cli_3.6.5        
+[17] rlang_1.1.6       splines_4.5.1     withr_3.0.2       yaml_2.3.10      
+[21] tools_4.5.1       vctrs_0.6.5       R6_2.6.1          lifecycle_1.0.4  
+[25] stringr_1.5.2     htmlwidgets_1.6.4 pkgconfig_2.0.3   pillar_1.11.1    
+[29] gtable_0.3.6      data.table_1.17.8 glue_1.8.0        systemfonts_1.3.1
+[33] xfun_0.53         tibble_3.3.0      tidyselect_1.2.1  rstudioapi_0.17.1
+[37] knitr_1.50        farver_2.1.2      nlme_3.1-168      htmltools_0.5.8.1
+[41] svglite_2.2.1     labeling_0.4.3    compiler_4.5.1    S7_0.2.0         
+
+
+
+
+

Références

+
+ +
+ + +
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