Démarrer avec R et découverte de RStudio
Introduction
Ce tutoriel est composé de 4 parties :
- Partie 1 : présentation de R et de RStudio, gestion du répetoire de travail, des librairies, …
- Partie 2 : présentation des principaux objets en R, les premiers graphiques, la programmation, l’importation/exportation, …
- Partie 3 : présentation d’outils pour la manipulation des lois usuelles, de statistiques descriptives, …
- Partie 4 : présentation de tidyverse (en particulier de dplyr, stringr, ggplot2) et les essentiels de la rédaction de documents avec Rmarkdown.
La rédaction de ces tutoriels s’appuie principalement sur :
- des supports développés avec/par des collègues de l’INSA Toulouse et de l’IMT (qu’ils en soient ici remerciés)
- les livres suivants :
- R for data science: import, tidy, transform, visualize, and model data de Wickham, H. and Grolemund, G. (2016)
- Statistiques avec R de Cornillon et al. (2010)
- R markdown: The definitive guide de Xie et al. (2018)
- ggplot2: elegant graphics for data analysis de Wickham (2016)
- de plusieurs sites web qui seront mentionnés au fur et à mesure
A propos de R 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)
Le logiciel R est développé depuis les années 90 par un groupe de volontaires de différents pays et par une large communauté d’utilisateurs. C’est un logiciel libre, publié sous licence GNU GPL et multiplateforme (fonctionne sur systèmes Linux, Mac OS X ou Windows). Il est facile à installer à partir de la page du CRAN (ou d’un site miroir); le CRAN contient toutes les ressources nécessaires à l’utilisateur de R, débutant ou expérimenté : fichiers d’installation, mises à jour, librairies, FAQ, newsletter, documentation… R fait partie des logiciels les plus utilisés de la communauté statistique académique et aussi de plus en plus dans les services R&D des entreprises en concurrence avec les logiciels commerciaux.
Dans sa structure, R est un langage de programmation d’une syntaxe voisine à celle du langage C et capable de manipuler des objets complexes sous forme de matrice, scalaire, vecteur, liste, facteur et aussi data frame. Il dispose également d’une très riche librairie de quasiment toutes les procédures et méthodes statistiques de la littérature. Plus précisément, toutes les recherches récentes sont d’abord développées et diffusées à l’aide de ce logiciel par la communauté scientifique.
Pour suivre cette série de tutoriels, vous devez commencer par installer R (version > 4.0.1) sur votre ordinateur. Pour cela, rendez-vous sur l’une des pages suivantes et suivez les instructions :
A propos de RStudio 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RStudio n’est pas qu’une interface graphique pour R, il s’agit d’un environnement de développement intégré, proposant des outils et facilite l’écriture de scripts et l’utilisation de R. La version gratuite de RStudio étant déjà très riche en fonctionnalités, elle est suffisante pour les enseignements.
Description des fenêtres de RStudio
Une fois R et RStudio installés sur votre machine, vous pouvez démarrer RStudio.
Au lancement de RStudio, l’écran est découpé en trois grandes zones.
3 zones à l’ouverture de RStudio
La zone de gauche s’appelle la Console, on peut y lire au lancement la version de R que RStudio a chargé. Après le texte d’entrée, la ligne commence par >
qui est l’invite de commande. RStudio est prêt à recevoir votre première commande. On peut se servir de R comme d’une calculatrice. Vous pouvez par exemple taper > 2+3
et taper Entrée
. Le résultat apparait alors dans la console.
En haut à droite, on peut voir dans Environnement la liste des objets et fonctions créés au fur et à mesure du travail. On a également accès à l’historique des commandes dans History.
En bas à droite, on trouve plusieurs onglets :
- Files : permet de voir le contenu du répertoire de travail
- Plots : permet de visualiser les graphiques créés
- Packages : liste les packages installés pour les charger, mettre à jour, en installer d’autres (voir la section dédiée)
- Help : permet d’accéder à l’aide en ligne
Types de documents avec RStudio
En allant dans File -> New File
ou en cliquant sur la flèche à côté de l’icone de New File (en haut à gauche), RStudio propose de nombreux types de document. Vous pouvez noter que l’on peut utiliser RStudio également pour faire du python, du C++, … Nous allons ici ne parler que de quelques types de fichiers que l’on utilisera par la suite. Lorsque l’on sélectionne un type de fichier, une quatrième fenêtre en haut à gauche de l’interface de RStudio s’ouvre.
Les types de fichiers disponibles avec RStudio
Pour créer un script R, il suffit de sélectionner R Script
. Ce script peut être enregistré à tout moment dans un fichier avec l’extension .R (ex. monScript.R) dans le répertoire courant en cliquant sur l’icône de disquette ou par File->Save
. Vous pouvez l’ouvrir à tout moment grâce au menu File –> Open file...
, à l’icône dossier ou en double cliquant sur le fichier monScript.R. Il est également possible d’executer un script directement depuis la console grâce à la commande source("monScript.R")
.
Vous pouvez créer un document (rapport, slides, …) à l’aide de RMarkdown en sélectionnant R markdown ...
. En particulier, vous avez la possibilité d’éditer directement des documents au format pdf ou html (en incluant les commandes R, les sorties et les graphes). Le nouveau document créé sera sauvegardé avec l’extension .Rmd. Lors de la création, il faut préciser le type de document final souhaité (document au format HTML ou PDF ou presentation, etc), ainsi que les informations du document (titre et auteur). On reviendra plus précisément sur les possibilités offertes par Rmarkdown et les commandes principales pour débuter la rédaction d’un rapport dans le tutoriel 4 de R avancé.
Environnement
Répertoire de travail
Pour pouvoir récupérer des données, maîtriser la sauvegarde des scripts, des résultats, … il est important de connaitre le répertoire de travail c’est-à-dire le répertoire sous lequel les divers résultats seront sauvegardés par défaut. Ce dernier s’obtient à l’aide de la commande getwd()
.
Pour changer de répertoire de travail, on peut utiliser la commande setwd()
dans la Console. A noter que R ne reconnaît que le caractère “/” pour spécifier le chemin d’accès d’un répertoire (même sous Windows). On peut aussi passer par Session -> Set Working Directory -> Choose Directory
.
L’aide de R
Il est normal de ne pas savoir (ou d’avoir oublié) quels sont les arguments d’une fonction, ou comment ils se nomment. On peut à tout moment faire appel à l’aide intégrée de R. On peut accéder à l’aide pour une fonction (ex pour la fonction plot) en passant le nom de la fonction dans help()
(ex help(plot)
) ou en utilisant le raccourci ?plot
. Ces deux commandes permettent d’afficher une page de description (en anglais) de la fonction, ses paramètres, son résultat, d’exemples, … Ces pages d’aide contiennent de nombreuses informations mais elles ne sont pas toujours d’une lecture aisée. Dans RStudio, les pages d’aide en ligne s’ouvriront par défaut dans la zone en bas à droite, sous l’onglet Help. Un clic sur l’icône en forme de maison vous affichera la page d’accueil de l’aide. Vous pouvez aussi taper directement le nom de la fonction recherchée dans la zone de recherche dans l’onglet Help.
Les librairies pour R
R est un logiciel libre, il s’enrichit grâce au développement de packages par la communauté. La plupart des extensions sont développées et maintenues par la communauté des utilisateurs de R, et diffusées via un réseau de serveurs nommé CRAN (Comprehensive R Archive Network). On peut également trouver des packages R dédiés à l’étude des données génomiques à haut-débit sur Bioconductor, des packages déposés sur github, …
Pour installer une librairie disponible sur le CRAN, vous avez plusieurs manières de le faire :
- passer par le menu
Tools-> Install Packages ...
et sélectionner un site miroir du CRAN - Aller dans l’onglet Packages dans la fenêtre en bas à droite et cliquer sur Install.
- utiliser la fonction
install.packages()
directement dans la console - télécharger l’archive .zip correspondant au package et utiliser ensuite
Tools-> Install Packages ...
, choisirPackage Archive File (.tar,.zip)
dans Install form.
- installer directement dans un terminal (sans utiliser RStudio) avec la commande
R CMD INSTALL package-name.tar.gz
.
Attention, vous devez posséder une version de R qui permette l’installation du package désiré et certains packages nécessitent l’installation préalable d’autres packages.
Pour l’installation d’un package de Bioconductor, il faut d’abord installer BiocManager install.packages("BiocManager")
puis on utilise la commande BiocManager::install()
.
Pour installer une librairie hébergée sur un dépot github, il faut d’abord installer le package devtools install.packages("devtools")
, charger cette librairie library(devtools)
puis utiliser la commande install_github()
.
Toutes les librairies ne sont pas chargées automatiquement au lancement de R. Pour charger une librairie, on utilise la commande library()
et les commandes search()
ou searchpaths()
pour connaître la liste des librairies chargées. Vous pouvez utiliser la commande .libPaths()
pour connaitre les chemins vers lesquels pointe R pour trouver des librairies installées. Il faut aussi parfois mettre à jour les librairies. Pour cela, vous pouvez aller dans l’onglet Packages dans la fenêtre en bas à droite et cliquer sur l’icône Update, ou en utilisant la commande update.packages(...)
.
Exercice
Enoncé
- Installer R (version > 4.0.1) et RStudio
- Installer les packages suivants qui nous serviront par la suite : tidyverse, FactoMineR, mixOmics, corrplot, gridExtra, plotly, questionr
- Charger la librairie ggplot2, la librairie tidyverse. Y-a-t-il un lien entre les deux ?
- Accéder à la documentation de tidyverse, de la fonction rnorm.
Correction
Question 1 : Voici pour les trois premiers, faire de même pour les autres.
install.packages("FactoMineR")
install.packages("tidyverse")
install.packages("BiocManager")
BiocManager::install("mixOmics")
Question 2 :
Le package tidyverse englobe plusieurs librairies dont ggplot2. On reviendra sur ce package tidyverse dans le tutoriel 4 de R avancé.
Question 3 :
References
Cornillon, Pierre-André, François Husson, Nicolas Jégou, Eric Matzner-Lober, Julie Josse, Arnaud Guyader, Laurent Rouviére, and Maela Kloareg. 2010. Statistiques Avec R. Rennes (Presses universitaires de).
Wickham, H. 2016. Ggplot2: Elegant Graphics for Data Analysis. springer.
Wickham, H., and G. Grolemund. 2016. R for Data Science: Import, Tidy, Transform, Visualize, and Model Data. " O’Reilly Media, Inc.". https://r4ds.had.co.nz/.
Xie, Y., J. J. Allaire, and G. Grolemund. 2018. R Markdown: The Definitive Guide. CRC Press.