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Suite exo 4 module 2

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module2/exo4/Calcul_téléphone.Rmd
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...@@ -2,7 +2,9 @@ ...@@ -2,7 +2,9 @@
title: "Exo4 module 2" title: "Exo4 module 2"
author: "Marc" author: "Marc"
date: "07/04/2020" date: "07/04/2020"
output: html_document output:
html_document: default
pdf_document: default
--- ---
```{r setup, include=FALSE} ```{r setup, include=FALSE}
...@@ -90,17 +92,13 @@ sd_appels_recus<-c(sd(df$Appels_recus[df$add=="avant"]), sd(df$Appels_recus[df$a ...@@ -90,17 +92,13 @@ sd_appels_recus<-c(sd(df$Appels_recus[df$add=="avant"]), sd(df$Appels_recus[df$a
sd_duree_appel<-c(sd(df$Duree_appel[df$add=="avant"]), sd(df$Duree_appel[df$add=="après"])) sd_duree_appel<-c(sd(df$Duree_appel[df$add=="avant"]), sd(df$Duree_appel[df$add=="après"]))
sd_messages_recus<-c(sd(df$Messages_recus[df$add=="avant"]), sd(df$Messages_recus[df$add=="après"])) sd_messages_recus<-c(sd(df$Messages_recus[df$add=="avant"]), sd(df$Messages_recus[df$add=="après"]))
sd_messages_envoyes<-c(sd(df$Messages_envoyes[df$add=="avant"]), sd(df$Messages_envoyes[df$add=="après"])) sd_messages_envoyes<-c(sd(df$Messages_envoyes[df$add=="avant"]), sd(df$Messages_envoyes[df$add=="après"]))
sd_appels_emis
sd_appels_recus
sd_messages_recus
sd_messages_envoyes
``` ```
Maintenant on va pouvoir plotter les moyennes de tous les paramètres avant et après (inclus) le 17 mars 2020. Maintenant on va pouvoir plotter les moyennes de tous les paramètres avant et après (inclus) le 17 mars 2020.
Le mieux c'est d'utiliser ggplot. Le mieux c'est d'utiliser ggplot.
```{r} ```{r}
install.packages(ggplot) #install.packages("ggplot2")
library(ggplot2) library(ggplot2)
a<-data.frame(m_appels_emis, sd_appels_emis, c("aa", "ap")) a<-data.frame(m_appels_emis, sd_appels_emis, c("aa", "ap"))
ggplot(a, aes(x = a$c..aa....ap.., y = m_appels_emis))+ ggplot(a, aes(x = a$c..aa....ap.., y = m_appels_emis))+
...@@ -158,6 +156,23 @@ wilcox.test(df$Duree_appel[df$add=="avant"],df$Duree_appel[df$add=="après"]) ...@@ -158,6 +156,23 @@ wilcox.test(df$Duree_appel[df$add=="avant"],df$Duree_appel[df$add=="après"])
``` ```
Ah ben en fait la durée des appels a significativement augmentée après le 17 mars 2020. Je ne suis pas super fort en statistiques donc j'espère que c'est correct. Aussi, 21 échantillons par groupe c'est pas mal pour un test non paramétrique. Ah ben en fait la durée des appels a significativement augmentée après le 17 mars 2020. Je ne suis pas super fort en statistiques donc j'espère que c'est correct. Aussi, 21 échantillons par groupe c'est pas mal pour un test non paramétrique.
Du coup on va essayer de mettre une étoile sur le plot (ce qui n'est pas compris dans les fonctions ggplot).
Pour cela on va donc tester le code d'un ami disponible sur [Github](https://github.com/EvenStar69/significativity.bar).
```{r}
#install.packages("devtools")
library(devtools)
#Besoin de Rtools 3.5
#install_github("EvenStar69/significativity.bar/significativity.bar")
library(significativity.bar)
```
```{r}
gg<- ggplot(c, aes(x = c..aa....ap.., y = as.numeric(m_duree_appel)))+
geom_bar(stat = "identity")+
geom_errorbar(ymin = m_duree_appel-sd_duree_appel, ymax = m_duree_appel+sd_duree_appel)+
ylim(-500,5000)+
labs(title="Duree appel")
```
### Taux de réponses ### Taux de réponses
......
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\title{Exo4 module 2}
\author{Marc}
\date{07/04/2020}
\begin{document}
\maketitle
\hypertarget{luxe9tude}{%
\subsection{L'étude}\label{luxe9tude}}
Cette étude consiste à évaluer mon usage du téléphone depuis le 25
février 2020 pour établir un lien entre la mise en place du confinement
le 17 mars 2020 et mon usage téléphonique.
\hypertarget{le-fichier-de-donnuxe9es}{%
\subsection{Le fichier de données}\label{le-fichier-de-donnuxe9es}}
Le fichier de données ci-après est une table représentant différents
paramètres chaque jour depuis le 25/02/2020 :\\
- Le nombre d'appels émis : Appels\_emis\\
- Le nombre d'appels reçus : Appels\_recus (Comprends aussi les appels
manqués)\\
- La durée totale des appels de la journée en seconde : Duree\_appels\\
- Le nombre de messages reçus : Messages\_recus\\
- Le nombre de messages envoyés : Messages\_envoyes
Le fichier peut être importé comme ceci :
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{df\textless{}{-}}\KeywordTok{read.csv}\NormalTok{(}\StringTok{"C:/Users/Marc/Desktop/MOOC/mooc{-}rr/module2/exo4/Book1.csv"}\NormalTok{, }\DataTypeTok{sep =} \StringTok{";"}\NormalTok{)}
\KeywordTok{head}\NormalTok{(df)}
\end{Highlighting}
\end{Shaded}
\begin{verbatim}
## ï..Date Appels_emis Appels_recus Duree_appel Messages_recus
## 1 25/02/2020 0 0 0 6
## 2 26/02/2020 1 1 5 3
## 3 27/02/2020 0 0 0 3
## 4 28/02/2020 0 0 0 0
## 5 29/02/2020 3 1 3470 1
## 6 01/03/2020 1 1 141 15
## Messages_envoyes
## 1 4
## 2 4
## 3 2
## 4 0
## 5 0
## 6 7
\end{verbatim}
\hypertarget{lanalyse-de-lusage-tuxe9luxe9phonique}{%
\subsection{L'analyse de l'usage
téléphonique}\label{lanalyse-de-lusage-tuxe9luxe9phonique}}
Tout d'abord on peut plotter les différents paramètres au cours du temps
pour se donner un aperçu de mon usage :
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\tightlist
\item
Les appels émis
\end{enumerate}
\begin{Shaded}
\begin{Highlighting}[]
\KeywordTok{barplot}\NormalTok{(df}\OperatorTok{$}\NormalTok{Appels\_emis, }\DataTypeTok{names.arg =}\NormalTok{ df}\OperatorTok{$}\NormalTok{ï..Date)}
\end{Highlighting}
\end{Shaded}
\includegraphics{Calcul_téléphone_files/figure-latex/unnamed-chunk-2-1.pdf}
Les dates sont mal positionnées mais c'est pas grave. Il semble que j'ai
beaucoup appelé autour de la date du 17 mars.
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\setcounter{enumi}{1}
\tightlist
\item
Appels reçus
\end{enumerate}
\begin{Shaded}
\begin{Highlighting}[]
\KeywordTok{barplot}\NormalTok{(df}\OperatorTok{$}\NormalTok{Appels\_recus, }\DataTypeTok{names.arg =}\NormalTok{ df}\OperatorTok{$}\NormalTok{ï..Date)}
\end{Highlighting}
\end{Shaded}
\includegraphics{Calcul_téléphone_files/figure-latex/unnamed-chunk-3-1.pdf}
Il semble que j'ai reçu beaucoup d'appels la veille du 17 mars puis que
j'ai reçu + d'appels en général après cette période qu'avant.
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\setcounter{enumi}{2}
\tightlist
\item
Durée appel
\end{enumerate}
\begin{Shaded}
\begin{Highlighting}[]
\KeywordTok{barplot}\NormalTok{(df}\OperatorTok{$}\NormalTok{Duree\_appel, }\DataTypeTok{names.arg =}\NormalTok{ df}\OperatorTok{$}\NormalTok{ï..Date)}
\end{Highlighting}
\end{Shaded}
\includegraphics{Calcul_téléphone_files/figure-latex/unnamed-chunk-4-1.pdf}
Là c'est très voyant. J'ai passé beaucoup de temps au téléphone après le
16 mars comparé à avant (sauf 2 fois).
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\setcounter{enumi}{3}
\tightlist
\item
Messages reçus
\end{enumerate}
\begin{Shaded}
\begin{Highlighting}[]
\KeywordTok{barplot}\NormalTok{(df}\OperatorTok{$}\NormalTok{Messages\_recus, }\DataTypeTok{names.arg =}\NormalTok{ df}\OperatorTok{$}\NormalTok{ï..Date)}
\end{Highlighting}
\end{Shaded}
\includegraphics{Calcul_téléphone_files/figure-latex/unnamed-chunk-5-1.pdf}
\begin{enumerate}
\def\labelenumi{\arabic{enumi}.}
\setcounter{enumi}{4}
\tightlist
\item
Messages envoyés
\end{enumerate}
\begin{Shaded}
\begin{Highlighting}[]
\KeywordTok{barplot}\NormalTok{(df}\OperatorTok{$}\NormalTok{Messages\_envoyes, }\DataTypeTok{names.arg =}\NormalTok{ df}\OperatorTok{$}\NormalTok{ï..Date)}
\end{Highlighting}
\end{Shaded}
\includegraphics{Calcul_téléphone_files/figure-latex/unnamed-chunk-6-1.pdf}
Pour les messages, la tendance est inverse aux appels : je reçois et
envoie - de sms depuis le 17 mars comparé à avant.\\
J'ai eput être changé mon usage de l'un à l'autre.\\
Sauf autour du 16-17 mars où j'ai beaucoup communiqué.
\hypertarget{repruxe9sentation-des-moyennes-avant-et-apruxe8s-le-17-mars}{%
\subsubsection{Représentation des moyennes avant et après le 17
mars}\label{repruxe9sentation-des-moyennes-avant-et-apruxe8s-le-17-mars}}
Je vais rajouté une colonne pour indiqué avant ou après le 17 mars.
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{add\textless{}{-}}\KeywordTok{c}\NormalTok{(}\KeywordTok{rep}\NormalTok{(}\StringTok{"avant"}\NormalTok{,}\DecValTok{21}\NormalTok{), }\KeywordTok{rep}\NormalTok{(}\StringTok{"après"}\NormalTok{,}\DecValTok{21}\NormalTok{))}
\NormalTok{df}\OperatorTok{$}\NormalTok{add\textless{}{-}add}
\end{Highlighting}
\end{Shaded}
Oui je sais c'est vraiment nul mais en gros je sais qu'il y a 42 lignes
dans mon tableau (je peux le vérifier avec
\texttt{length(df\$Appels\_emis)} par exemple) et que le 17 mars est la
22ème ligne.\\
J'ai donc ajouté 21 fois ``avant'' et 21 fois ``après'' sur une colonne
dans mon data frame df.
Maintenant on va pouvoir calculer les moyennes des paramètres avant et
après (inclus) le 17 mars 2020.
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{m\_appels\_emis\textless{}{-}}\KeywordTok{c}\NormalTok{(}\KeywordTok{mean}\NormalTok{(df}\OperatorTok{$}\NormalTok{Appels\_emis[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"avant"}\NormalTok{]), }\KeywordTok{mean}\NormalTok{(df}\OperatorTok{$}\NormalTok{Appels\_emis[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"après"}\NormalTok{]))}
\NormalTok{m\_appels\_recus\textless{}{-}}\KeywordTok{c}\NormalTok{(}\KeywordTok{mean}\NormalTok{(df}\OperatorTok{$}\NormalTok{Appels\_recus[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"avant"}\NormalTok{]), }\KeywordTok{mean}\NormalTok{(df}\OperatorTok{$}\NormalTok{Appels\_recus[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"après"}\NormalTok{]))}
\NormalTok{m\_duree\_appel\textless{}{-}}\KeywordTok{c}\NormalTok{(}\KeywordTok{mean}\NormalTok{(df}\OperatorTok{$}\NormalTok{Duree\_appel[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"avant"}\NormalTok{]), }\KeywordTok{mean}\NormalTok{(df}\OperatorTok{$}\NormalTok{Duree\_appel[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"après"}\NormalTok{]))}
\NormalTok{m\_messages\_recus\textless{}{-}}\KeywordTok{c}\NormalTok{(}\KeywordTok{mean}\NormalTok{(df}\OperatorTok{$}\NormalTok{Messages\_recus[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"avant"}\NormalTok{]), }\KeywordTok{mean}\NormalTok{(df}\OperatorTok{$}\NormalTok{Messages\_recus[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"après"}\NormalTok{]))}
\NormalTok{m\_messages\_envoyes\textless{}{-}}\KeywordTok{c}\NormalTok{(}\KeywordTok{mean}\NormalTok{(df}\OperatorTok{$}\NormalTok{Messages\_envoyes[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"avant"}\NormalTok{]), }\KeywordTok{mean}\NormalTok{(df}\OperatorTok{$}\NormalTok{Messages\_envoyes[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"après"}\NormalTok{]))}
\NormalTok{m\_appels\_emis}
\end{Highlighting}
\end{Shaded}
\begin{verbatim}
## [1] 1.142857 1.523810
\end{verbatim}
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{m\_appels\_recus}
\end{Highlighting}
\end{Shaded}
\begin{verbatim}
## [1] 0.8095238 1.1904762
\end{verbatim}
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{m\_messages\_recus}
\end{Highlighting}
\end{Shaded}
\begin{verbatim}
## [1] 6.285714 2.761905
\end{verbatim}
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{m\_messages\_envoyes}
\end{Highlighting}
\end{Shaded}
\begin{verbatim}
## [1] 5.285714 1.523810
\end{verbatim}
Et les écarts-types :
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{sd\_appels\_emis\textless{}{-}}\KeywordTok{c}\NormalTok{(}\KeywordTok{sd}\NormalTok{(df}\OperatorTok{$}\NormalTok{Appels\_emis[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"avant"}\NormalTok{]), }\KeywordTok{sd}\NormalTok{(df}\OperatorTok{$}\NormalTok{Appels\_emis[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"après"}\NormalTok{]))}
\NormalTok{sd\_appels\_recus\textless{}{-}}\KeywordTok{c}\NormalTok{(}\KeywordTok{sd}\NormalTok{(df}\OperatorTok{$}\NormalTok{Appels\_recus[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"avant"}\NormalTok{]), }\KeywordTok{sd}\NormalTok{(df}\OperatorTok{$}\NormalTok{Appels\_recus[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"après"}\NormalTok{]))}
\NormalTok{sd\_duree\_appel\textless{}{-}}\KeywordTok{c}\NormalTok{(}\KeywordTok{sd}\NormalTok{(df}\OperatorTok{$}\NormalTok{Duree\_appel[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"avant"}\NormalTok{]), }\KeywordTok{sd}\NormalTok{(df}\OperatorTok{$}\NormalTok{Duree\_appel[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"après"}\NormalTok{]))}
\NormalTok{sd\_messages\_recus\textless{}{-}}\KeywordTok{c}\NormalTok{(}\KeywordTok{sd}\NormalTok{(df}\OperatorTok{$}\NormalTok{Messages\_recus[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"avant"}\NormalTok{]), }\KeywordTok{sd}\NormalTok{(df}\OperatorTok{$}\NormalTok{Messages\_recus[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"après"}\NormalTok{]))}
\NormalTok{sd\_messages\_envoyes\textless{}{-}}\KeywordTok{c}\NormalTok{(}\KeywordTok{sd}\NormalTok{(df}\OperatorTok{$}\NormalTok{Messages\_envoyes[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"avant"}\NormalTok{]), }\KeywordTok{sd}\NormalTok{(df}\OperatorTok{$}\NormalTok{Messages\_envoyes[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"après"}\NormalTok{]))}
\NormalTok{sd\_appels\_emis}
\end{Highlighting}
\end{Shaded}
\begin{verbatim}
## [1] 2.128044 2.379476
\end{verbatim}
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{sd\_appels\_recus}
\end{Highlighting}
\end{Shaded}
\begin{verbatim}
## [1] 1.939563 1.435933
\end{verbatim}
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{sd\_messages\_recus}
\end{Highlighting}
\end{Shaded}
\begin{verbatim}
## [1] 5.080776 4.097618
\end{verbatim}
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{sd\_messages\_envoyes}
\end{Highlighting}
\end{Shaded}
\begin{verbatim}
## [1] 5.330505 2.502380
\end{verbatim}
Maintenant on va pouvoir plotter les moyennes de tous les paramètres
avant et après (inclus) le 17 mars 2020.\\
Le mieux c'est d'utiliser ggplot.
\begin{Shaded}
\begin{Highlighting}[]
\CommentTok{\#install.packages("ggplot2")}
\KeywordTok{library}\NormalTok{(ggplot2)}
\NormalTok{a\textless{}{-}}\KeywordTok{data.frame}\NormalTok{(m\_appels\_emis, sd\_appels\_emis, }\KeywordTok{c}\NormalTok{(}\StringTok{"aa"}\NormalTok{, }\StringTok{"ap"}\NormalTok{))}
\KeywordTok{ggplot}\NormalTok{(a, }\KeywordTok{aes}\NormalTok{(}\DataTypeTok{x =}\NormalTok{ a}\OperatorTok{$}\NormalTok{c..aa....ap.., }\DataTypeTok{y =}\NormalTok{ m\_appels\_emis))}\OperatorTok{+}
\StringTok{ }\KeywordTok{geom\_bar}\NormalTok{(}\DataTypeTok{stat =} \StringTok{"identity"}\NormalTok{)}\OperatorTok{+}
\StringTok{ }\KeywordTok{geom\_errorbar}\NormalTok{(}\DataTypeTok{ymin =}\NormalTok{ a}\OperatorTok{$}\NormalTok{m\_appels\_emis}\OperatorTok{{-}}\NormalTok{a}\OperatorTok{$}\NormalTok{sd\_appels\_emis, }\DataTypeTok{ymax =}\NormalTok{ a}\OperatorTok{$}\NormalTok{m\_appels\_emis}\OperatorTok{+}\NormalTok{a}\OperatorTok{$}\NormalTok{sd\_appels\_emis)}\OperatorTok{+}\StringTok{ }
\StringTok{ }\KeywordTok{ylim}\NormalTok{(}\OperatorTok{{-}}\DecValTok{1}\NormalTok{,}\DecValTok{4}\NormalTok{)}\OperatorTok{+}
\StringTok{ }\KeywordTok{labs}\NormalTok{(}\DataTypeTok{title=}\StringTok{"Appels émis"}\NormalTok{)}
\end{Highlighting}
\end{Shaded}
\includegraphics{Calcul_téléphone_files/figure-latex/unnamed-chunk-10-1.pdf}
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{b\textless{}{-}}\KeywordTok{data.frame}\NormalTok{(m\_appels\_recus, sd\_appels\_recus, }\KeywordTok{c}\NormalTok{(}\StringTok{"aa"}\NormalTok{, }\StringTok{"ap"}\NormalTok{))}
\KeywordTok{ggplot}\NormalTok{(b, }\KeywordTok{aes}\NormalTok{(}\DataTypeTok{x =}\NormalTok{ b}\OperatorTok{$}\NormalTok{c..aa....ap.., }\DataTypeTok{y =}\NormalTok{ b}\OperatorTok{$}\NormalTok{m\_appels\_recus))}\OperatorTok{+}
\StringTok{ }\KeywordTok{geom\_bar}\NormalTok{(}\DataTypeTok{stat =} \StringTok{"identity"}\NormalTok{)}\OperatorTok{+}
\StringTok{ }\KeywordTok{geom\_errorbar}\NormalTok{(}\DataTypeTok{ymin =}\NormalTok{ b}\OperatorTok{$}\NormalTok{m\_appels\_recus}\OperatorTok{{-}}\NormalTok{b}\OperatorTok{$}\NormalTok{sd\_appels\_recus, }\DataTypeTok{ymax =}\NormalTok{ b}\OperatorTok{$}\NormalTok{m\_appels\_recus}\OperatorTok{+}\NormalTok{b}\OperatorTok{$}\NormalTok{sd\_appels\_recus)}\OperatorTok{+}\StringTok{ }
\StringTok{ }\KeywordTok{ylim}\NormalTok{(}\OperatorTok{{-}}\DecValTok{1}\NormalTok{,}\DecValTok{3}\NormalTok{)}\OperatorTok{+}
\StringTok{ }\KeywordTok{labs}\NormalTok{(}\DataTypeTok{title=}\StringTok{"Appels recus"}\NormalTok{)}
\end{Highlighting}
\end{Shaded}
\includegraphics{Calcul_téléphone_files/figure-latex/unnamed-chunk-11-1.pdf}
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{c\textless{}{-}}\KeywordTok{data.frame}\NormalTok{(m\_duree\_appel, sd\_duree\_appel, }\KeywordTok{c}\NormalTok{(}\StringTok{"aa"}\NormalTok{, }\StringTok{"ap"}\NormalTok{))}
\KeywordTok{ggplot}\NormalTok{(c, }\KeywordTok{aes}\NormalTok{(}\DataTypeTok{x =}\NormalTok{ c}\OperatorTok{$}\NormalTok{c..aa....ap.., }\DataTypeTok{y =}\NormalTok{ c}\OperatorTok{$}\NormalTok{m\_duree\_appel))}\OperatorTok{+}
\StringTok{ }\KeywordTok{geom\_bar}\NormalTok{(}\DataTypeTok{stat =} \StringTok{"identity"}\NormalTok{)}\OperatorTok{+}
\StringTok{ }\KeywordTok{geom\_errorbar}\NormalTok{(}\DataTypeTok{ymin =}\NormalTok{ c}\OperatorTok{$}\NormalTok{m\_duree\_appel}\OperatorTok{{-}}\NormalTok{c}\OperatorTok{$}\NormalTok{sd\_duree\_appel, }\DataTypeTok{ymax =}\NormalTok{ c}\OperatorTok{$}\NormalTok{m\_duree\_appel}\OperatorTok{+}\NormalTok{c}\OperatorTok{$}\NormalTok{sd\_duree\_appel)}\OperatorTok{+}\StringTok{ }
\StringTok{ }\KeywordTok{ylim}\NormalTok{(}\OperatorTok{{-}}\DecValTok{500}\NormalTok{,}\DecValTok{2000}\NormalTok{)}\OperatorTok{+}
\StringTok{ }\KeywordTok{labs}\NormalTok{(}\DataTypeTok{title=}\StringTok{"Duree appel"}\NormalTok{)}
\end{Highlighting}
\end{Shaded}
\includegraphics{Calcul_téléphone_files/figure-latex/unnamed-chunk-12-1.pdf}
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{d\textless{}{-}}\KeywordTok{data.frame}\NormalTok{(m\_messages\_envoyes, sd\_messages\_envoyes, }\KeywordTok{c}\NormalTok{(}\StringTok{"aa"}\NormalTok{, }\StringTok{"ap"}\NormalTok{))}
\KeywordTok{ggplot}\NormalTok{(d, }\KeywordTok{aes}\NormalTok{(}\DataTypeTok{x =}\NormalTok{ d}\OperatorTok{$}\NormalTok{c..aa....ap.., }\DataTypeTok{y =}\NormalTok{ d}\OperatorTok{$}\NormalTok{m\_messages\_envoyes))}\OperatorTok{+}
\StringTok{ }\KeywordTok{geom\_bar}\NormalTok{(}\DataTypeTok{stat =} \StringTok{"identity"}\NormalTok{)}\OperatorTok{+}
\StringTok{ }\KeywordTok{geom\_errorbar}\NormalTok{(}\DataTypeTok{ymin =}\NormalTok{ d}\OperatorTok{$}\NormalTok{m\_messages\_envoyes}\OperatorTok{{-}}\NormalTok{d}\OperatorTok{$}\NormalTok{sd\_messages\_envoyes, }\DataTypeTok{ymax =}\NormalTok{ d}\OperatorTok{$}\NormalTok{m\_messages\_envoyes}\OperatorTok{+}\NormalTok{d}\OperatorTok{$}\NormalTok{sd\_messages\_envoyes)}\OperatorTok{+}\StringTok{ }
\StringTok{ }\KeywordTok{ylim}\NormalTok{(}\DecValTok{0}\NormalTok{,}\DecValTok{12}\NormalTok{)}\OperatorTok{+}
\StringTok{ }\KeywordTok{labs}\NormalTok{(}\DataTypeTok{title=}\StringTok{"Messages envoyes"}\NormalTok{)}
\end{Highlighting}
\end{Shaded}
\includegraphics{Calcul_téléphone_files/figure-latex/unnamed-chunk-13-1.pdf}
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{e\textless{}{-}}\KeywordTok{data.frame}\NormalTok{(m\_messages\_recus, sd\_messages\_recus, }\KeywordTok{c}\NormalTok{(}\StringTok{"aa"}\NormalTok{, }\StringTok{"ap"}\NormalTok{))}
\KeywordTok{ggplot}\NormalTok{(e, }\KeywordTok{aes}\NormalTok{(}\DataTypeTok{x =}\NormalTok{ e}\OperatorTok{$}\NormalTok{c..aa....ap.., }\DataTypeTok{y =}\NormalTok{ e}\OperatorTok{$}\NormalTok{m\_messages\_recus))}\OperatorTok{+}
\StringTok{ }\KeywordTok{geom\_bar}\NormalTok{(}\DataTypeTok{stat =} \StringTok{"identity"}\NormalTok{)}\OperatorTok{+}
\StringTok{ }\KeywordTok{geom\_errorbar}\NormalTok{(}\DataTypeTok{ymin =}\NormalTok{ e}\OperatorTok{$}\NormalTok{m\_messages\_recus}\OperatorTok{{-}}\NormalTok{e}\OperatorTok{$}\NormalTok{sd\_messages\_recus, }\DataTypeTok{ymax =}\NormalTok{ e}\OperatorTok{$}\NormalTok{m\_messages\_recus}\OperatorTok{+}\NormalTok{e}\OperatorTok{$}\NormalTok{sd\_messages\_recus)}\OperatorTok{+}\StringTok{ }
\StringTok{ }\KeywordTok{ylim}\NormalTok{(}\OperatorTok{{-}}\DecValTok{2}\NormalTok{,}\DecValTok{12}\NormalTok{)}\OperatorTok{+}
\StringTok{ }\KeywordTok{labs}\NormalTok{(}\DataTypeTok{title=}\StringTok{"Messages recus"}\NormalTok{)}
\end{Highlighting}
\end{Shaded}
\includegraphics{Calcul_téléphone_files/figure-latex/unnamed-chunk-14-1.pdf}
\textbf{Bilan : On voit des augmentations dans les appels et une
diminution dans les messages mais les écarts types sont énormes}
A mon avis, rien n'est significatif mais on peut s'entrainer sur un
cas.\\
Comme il n'y a que 21 valeurs dans chaque groupe, je ne peux pas
appliquer le théorème central limite. Je vais donc vérifier la
distribution normale de chaque groupe ainsi que l'égalité des variances
pour voir quel test statistique appliqué.\\
Prenons comme exemple la durée de l'appel.
\begin{Shaded}
\begin{Highlighting}[]
\KeywordTok{shapiro.test}\NormalTok{(df}\OperatorTok{$}\NormalTok{Duree\_appel[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"avant"}\NormalTok{])}
\end{Highlighting}
\end{Shaded}
\begin{verbatim}
##
## Shapiro-Wilk normality test
##
## data: df$Duree_appel[df$add == "avant"]
## W = 0.53087, p-value = 3.968e-07
\end{verbatim}
\begin{Shaded}
\begin{Highlighting}[]
\KeywordTok{shapiro.test}\NormalTok{(df}\OperatorTok{$}\NormalTok{Duree\_appel[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"après"}\NormalTok{])}
\end{Highlighting}
\end{Shaded}
\begin{verbatim}
##
## Shapiro-Wilk normality test
##
## data: df$Duree_appel[df$add == "après"]
## W = 0.88753, p-value = 0.0202
\end{verbatim}
Les tests de Shapiro-Wilk sont significatifs donc les distributions ne
sont pas normales.\\
Utilisation de tests non paramétriques type Mann-Whitney :
\begin{Shaded}
\begin{Highlighting}[]
\KeywordTok{wilcox.test}\NormalTok{(df}\OperatorTok{$}\NormalTok{Duree\_appel[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"avant"}\NormalTok{],df}\OperatorTok{$}\NormalTok{Duree\_appel[df}\OperatorTok{$}\NormalTok{add}\OperatorTok{==}\StringTok{"après"}\NormalTok{])}
\end{Highlighting}
\end{Shaded}
\begin{verbatim}
## Warning in wilcox.test.default(df$Duree_appel[df$add == "avant"],
## df$Duree_appel[df$add == : cannot compute exact p-value with ties
\end{verbatim}
\begin{verbatim}
##
## Wilcoxon rank sum test with continuity correction
##
## data: df$Duree_appel[df$add == "avant"] and df$Duree_appel[df$add == "après"]
## W = 140.5, p-value = 0.03965
## alternative hypothesis: true location shift is not equal to 0
\end{verbatim}
Ah ben en fait la durée des appels a significativement augmentée après
le 17 mars 2020. Je ne suis pas super fort en statistiques donc j'espère
que c'est correct. Aussi, 21 échantillons par groupe c'est pas mal pour
un test non paramétrique.
\hypertarget{taux-de-ruxe9ponses}{%
\subsubsection{Taux de réponses}\label{taux-de-ruxe9ponses}}
Cette partie c'est juste pour voir si je répond autant aux messages
qu'on m'en envoie.
\begin{Shaded}
\begin{Highlighting}[]
\NormalTok{Ratio\textless{}{-}df}\OperatorTok{$}\NormalTok{Messages\_recus}\OperatorTok{/}\NormalTok{df}\OperatorTok{$}\NormalTok{Messages\_envoyes}
\CommentTok{\#Remplacement des NaN et inf (division par 0) en 0.}
\NormalTok{Ratio[}\KeywordTok{is.na}\NormalTok{(Ratio)]\textless{}{-}}\DecValTok{0}
\NormalTok{Ratio[}\KeywordTok{is.infinite}\NormalTok{(Ratio)]\textless{}{-}}\DecValTok{0}
\KeywordTok{barplot}\NormalTok{(Ratio)}
\end{Highlighting}
\end{Shaded}
\includegraphics{Calcul_téléphone_files/figure-latex/unnamed-chunk-17-1.pdf}
\begin{Shaded}
\begin{Highlighting}[]
\KeywordTok{mean}\NormalTok{(Ratio)}
\end{Highlighting}
\end{Shaded}
\begin{verbatim}
## [1] 1.067513
\end{verbatim}
En moyenne c'est assez équilibré : je réponds autant de fois qu'on
m'envoie un message.
\hypertarget{conclusion}{%
\subsection{Conclusion}\label{conclusion}}
\textbf{J'ai passé pas mal de temps à faire ça mais ça m'a permis de
bien prendre en main l'outil.\\
Je conçois que mon étude est assez sale et que les manières de plotter
ne sont vraiment pas optimisées mais ce n'était pas vraiment le but de
l'exercice.}
\end{document}
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