From f36e335b46b413cc0aa85643821eba10d3af045f Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=C3=89mile=20Jetzer?= Date: Mon, 18 May 2020 14:57:12 -0400 Subject: [PATCH] =?UTF-8?q?Exercice=201=20du=20module=203:=20syndromes=20g?= =?UTF-8?q?rippaux.=20R=C3=A9=C3=A9criture=20des=20scripts=20R=20en=20Pyth?= =?UTF-8?q?on?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- module3/exo1/.DS_Store | Bin 0 -> 6148 bytes module3/exo1/C028AL_slides_module3-fr.pdf | Bin 0 -> 112076 bytes module3/exo1/Module3_Transcription_VF.pdf | Bin 0 -> 789902 bytes module3/exo1/analyse-syndrome-grippal.org | 178 +++++++++++++++-- module3/exo1/analyse-syndrome-grippal.org~ | 219 +++++++++++++++++++++ module3/exo1/annual-inc-hist.png | Bin 0 -> 8177 bytes module3/exo1/annual-inc-plot.png | Bin 0 -> 13681 bytes module3/exo1/inc-plot-zoom.png | Bin 0 -> 21251 bytes module3/exo1/inc-plot.png | Bin 0 -> 30441 bytes 9 files changed, 384 insertions(+), 13 deletions(-) create mode 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Nous les récupérons sous forme d'un fichier en format CSV dont chaque ligne correspond à une semaine de la période d'observation. Nous téléchargeons toujours le jeu de données complet (rien d'autre n'est proposé), qui commence en 1984 et se termine avec une semaine récente. L'URL est: @@ -80,6 +89,13 @@ Regardons ce que nous avons obtenu: table[:5] #+END_SRC +#+RESULTS: +| week | indicator | inc | inc_low | inc_up | inc100 | inc100_low | inc100_up | geo_insee | geo_name | +| 202011 | 3 | 101704 | 93652 | 109756 | 154 | 142 | 166 | FR | France | +| 202010 | 3 | 104977 | 96650 | 113304 | 159 | 146 | 172 | FR | France | +| 202009 | 3 | 110696 | 102066 | 119326 | 168 | 155 | 181 | FR | France | +| 202008 | 3 | 143753 | 133984 | 153522 | 218 | 203 | 233 | FR | France | + ** Recherche de données manquantes Il y a malheureusement beaucoup de façon d'indiquer l'absence d'un point de données. Nous testons ici seulement pour la présence de champs vides. Il faudrait aussi rechercher des valeurs non-numériques dans les colonnes à priori numériques. Nous ne le faisons pas ici, mais une vérification ultérieure capterait des telles anomalies. @@ -94,6 +110,11 @@ for row in table: valid_table.append(row) #+END_SRC +#+RESULTS: +: ['198919', '3', '0', '', '', '0', '', '', 'FR', 'France'] +: +: + ** Extraction des colonnes utilisées Il y a deux colonnes qui nous intéressent: la première (~"week"~) et la troisième (~"inc"~). Nous vérifions leurs noms dans l'en-tête, que nous effaçons par la suite. Enfin, nous créons un tableau avec les deux colonnes pour le traitement suivant. #+BEGIN_SRC python :results silent @@ -111,6 +132,21 @@ Regardons les premières et les dernières lignes. Nous insérons ~None~ pour in [('week', 'inc'), None] + data[:5] + [None] + data[-5:] #+END_SRC +#+RESULTS: +| week | inc | +|--------+--------| +| 202011 | 101704 | +| 202010 | 104977 | +| 202009 | 110696 | +| 202008 | 143753 | +| 202007 | 183610 | +|--------+--------| +| 198448 | 78620 | +| 198447 | 72029 | +| 198446 | 87330 | +| 198445 | 135223 | +| 198444 | 68422 | + ** Vérification Il est toujours prudent de vérifier si les données semblent crédibles. Nous savons que les semaines sont données par six chiffres (quatre pour l'année et deux pour la semaine), et que les incidences sont des nombres entiers positifs. #+BEGIN_SRC python :results output @@ -121,6 +157,11 @@ for week, inc in data: print("Valeur suspecte dans la colonne 'inc': ", (week, inc)) #+END_SRC +#+RESULTS: +: +: +: + Pas de problème ! ** Conversions @@ -140,6 +181,21 @@ str_data = [(str(date), str(inc)) for date, inc in converted_data] [('date', 'inc'), None] + str_data[:5] + [None] + str_data[-5:] #+END_SRC +#+RESULTS: +| date | inc | +|------------+--------| +| 1984-10-29 | 68422 | +| 1984-11-05 | 135223 | +| 1984-11-12 | 87330 | +| 1984-11-19 | 72029 | +| 1984-11-26 | 78620 | +|------------+--------| +| 2020-02-10 | 183610 | +| 2020-02-17 | 143753 | +| 2020-02-24 | 110696 | +| 2020-03-02 | 104977 | +| 2020-03-09 | 101704 | + ** Vérification des dates Nous faisons encore une vérification: nos dates doivent être séparées d'exactement une semaine, sauf autour du point manquant. #+BEGIN_SRC python :results output @@ -149,32 +205,62 @@ for date1, date2 in zip(dates[:-1], dates[1:]): print(f"Il y a {date2-date1} entre {date1} et {date2}") #+END_SRC +#+RESULTS: +: Il y a 14 days, 0:00:00 entre 1989-05-01 et 1989-05-15 +: +: + ** Passage Python -> R Nous passons au langage R pour inspecter nos données, parce que l'analyse et la préparation de graphiques sont plus concises en R, sans nécessiter aucune bibliothèque supplémentaire. Nous utilisons le mécanisme d'échange de données proposé par org-mode, ce qui nécessite un peu de code Python pour transformer les données dans le bon format. -#+NAME: data-for-R -#+BEGIN_SRC python :results silent -[('date', 'inc'), None] + [(str(date), inc) for date, inc in converted_data] -#+END_SRC + #+NAME: data-for-R + #+BEGIN_SRC python :results silent + # [('date', 'inc'), None] + [(str(date), inc) for date, inc in converted_data] + #+END_SRC En R, les données arrivent sous forme d'un data frame, mais il faut encore convertir les dates, qui arrivent comme chaînes de caractères. -#+BEGIN_SRC R :results output :var data=data-for-R -data$date <- as.Date(data$date) -summary(data) -#+END_SRC + #+BEGIN_SRC R :results output :var data=data-for-R + # data$date <- as.Date(data$date) + # summary(data) + #+END_SRC ** Inspection Regardons enfin à quoi ressemblent nos données ! -#+BEGIN_SRC R :results output graphics :file inc-plot.png -plot(data, type="l", xlab="Date", ylab="Incidence hebdomadaire") + #+BEGIN_SRC R :results output graphics :file inc-plot.png + # plot(data, type="l", xlab="Date", ylab="Incidence hebdomadaire") + #+END_SRC + +#+BEGIN_SRC python :results file :var nom="inc-plot.png" +import matplotlib.pyplot as plt + +inc = [d[1] for d in converted_data] +plt.clf() +plt.plot(inc, '.') +plt.savefig(nom) + +nom #+END_SRC +#+RESULTS: +[[file:]] + Un zoom sur les dernières années montre mieux la situation des pics en hiver. Le creux des incidences se trouve en été. -#+BEGIN_SRC R :results output graphics :file inc-plot-zoom.png -plot(tail(data, 200), type="l", xlab="Date", ylab="Incidence hebdomadaire") + #+BEGIN_SRC R :results output graphics :file inc-plot-zoom.png + # plot(tail(data, 200), type="l", xlab="Date", ylab="Incidence hebdomadaire") + #+END_SRC + +#+BEGIN_SRC python :results file :var nom="inc-plot-zoom.png" +plt.clf() +plt.plot(inc[-200:], '.') +plt.savefig(nom) + +nom #+END_SRC +#+RESULTS: +[[file:]] + * Étude de l'incidence annuelle ** Calcul de l'incidence annuelle @@ -190,30 +276,96 @@ pic_annuel = function(annee) { } #+END_SRC +#+BEGIN_SRC python :results silent +def pic_annuel(année): + début = datetime.date(année-1, 8, 1) + fin = datetime.date(année, 8, 1) + semaines = filter(lambda x: début < x[0] <= fin, converted_data) + + return sum([d[1] for d in semaines]) +#+END_SRC + Nous devons aussi faire attention aux premières et dernières années de notre jeux de données. Les données commencent en octobre 1984, ce qui ne permet pas de quantifier complètement le pic attribué à l'année 1985. Nous le supprimons donc de notre analyse. Pour la même raison, nous arrêtons en 2018. Nous devons attendre les données pour juillet 2019 avant d'augmenter la dernière année à 2019. #+BEGIN_SRC R :results silent annees <- 1986:2018 #+END_SRC +#+BEGIN_SRC python :results silent +années = range(1986, 2019) +#+END_SRC + #+BEGIN_SRC R :results value inc_annuelle = data.frame(annee = annees, incidence = sapply(annees, pic_annuel)) head(inc_annuelle) #+END_SRC +#+BEGIN_SRC python :result value +import pandas as pd + +pics_annuels = [pic_annuel(a) for a in années] +inc_annuelle = pd.DataFrame({'années': années, 'incidence': pics_annuels}) + +inc_annuelle.head() +#+END_SRC + +#+RESULTS: +: années incidence +: 0 1986 5100540 +: 1 1987 2861556 +: 2 1988 2766142 +: 3 1989 5460155 +: 4 1990 5233987 + ** Inspection Voici les incidences annuelles en graphique. #+BEGIN_SRC R :results output graphics :file annual-inc-plot.png plot(inc_annuelle, type="p", xlab="Année", ylab="Incidence annuelle") #+END_SRC +#+BEGIN_SRC python :results file :var nom="annual-inc-plot.png" +plt.clf() +plt.plot(inc_annuelle.années, inc_annuelle.incidence, '.') +plt.savefig(nom) + +nom +#+END_SRC + +#+RESULTS: +[[file:]] + ** Identification des épidémies les plus fortes Une liste triée par ordre décroissant d'incidence annuelle permet de plus facilement repérer les valeurs les plus élevées: #+BEGIN_SRC R :results output head(inc_annuelle[order(-inc_annuelle$incidence),]) #+END_SRC +#+BEGIN_SRC python :results output +inc_annuelle.sort_values(by='années', ascending=False).head() +#+END_SRC + +#+RESULTS: +: années incidence +: 32 2018 2704117 +: 31 2017 2321148 +: 30 2016 2857239 +: 29 2015 3653594 +: 28 2014 1602814 +: +: + Enfin, un histogramme montre bien que les épidémies fortes, qui touchent environ 10% de la population française, sont assez rares: il y en eu trois au cours des 35 dernières années. #+BEGIN_SRC R :results output graphics :file annual-inc-hist.png hist(inc_annuelle$incidence, breaks=10, xlab="Incidence annuelle", ylab="Nb d'observations", main="") #+END_SRC + +#+BEGIN_SRC python :results file :var nom="annual-inc-hist.png" +plt.clf() +plt.hist(inc_annuelle.incidence, bins=10) +plt.savefig(nom) + +nom +#+END_SRC + +#+RESULTS: +[[file:]] diff --git a/module3/exo1/analyse-syndrome-grippal.org~ b/module3/exo1/analyse-syndrome-grippal.org~ new file mode 100644 index 0000000..1720b70 --- /dev/null +++ b/module3/exo1/analyse-syndrome-grippal.org~ @@ -0,0 +1,219 @@ +#+TITLE: Incidence du syndrôme grippal +#+LANGUAGE: fr +#+OPTIONS: *:nil num:1 toc:t + +# #+HTML_HEAD: +#+HTML_HEAD: +#+HTML_HEAD: +#+HTML_HEAD: +#+HTML_HEAD: +#+HTML_HEAD: +#+HTML_HEAD: + +#+PROPERTY: header-args :session :exports both + +* Préface + +Pour exécuter le code de cette analyse, il faut disposer des logiciels suivants: + +** Emacs 25 ou plus +Une version plus ancienne d'Emacs devrait suffire. Pour une version antérieure à 26, il faut installer une version récente (9.x) d'org-mode. +** Python 3.6 ou plus +Nous utilisons le traitement de dates en format ISO 8601, qui a été implémenté en Python seulement avec la version 3.6. + +#+BEGIN_SRC python :results output +import sys +if sys.version_info.major < 3 or sys.version_info.minor < 6: + print("Veuillez utiliser Python 3.6 (ou plus) !") +#+END_SRC + +#+BEGIN_SRC emacs-lisp :results output +(unless (featurep 'ob-python) + (print "Veuillez activer python dans org-babel (org-babel-do-languages) !")) +#+END_SRC + +** R 3.4 +Nous n'utilisons que des fonctionnalités de base du langage R, une version antérieure devrait suffire. + +#+BEGIN_SRC emacs-lisp :results output +(unless (featurep 'ob-R) + (print "Veuillez activer R dans org-babel (org-babel-do-languages) !")) +#+END_SRC + +* Préparation des données + +Les données de l'incidence du syndrome grippal sont disponibles du site Web du [[http://www.sentiweb.fr/][Réseau Sentinelles]]. Nous les récupérons sous forme d'un fichier en format CSV dont chaque ligne correspond à une semaine de la période d'observation. Nous téléchargeons toujours le jeu de données complet (rien d'autre n'est proposé), qui commence en 1984 et se termine avec une semaine récente. L'URL est: +#+NAME: data-url +http://www.sentiweb.fr/datasets/incidence-PAY-3.csv + +Voici l'explication des colonnes donnée sur [[https://ns.sentiweb.fr/incidence/csv-schema-v1.json][le site d'origine:]] + +| Nom de colonne | Libellé de colonne | +|----------------+-----------------------------------------------------------------------------------------------------------------------------------| +| ~week~ | Semaine calendaire (ISO 8601) | +| ~indicator~ | Code de l'indicateur de surveillance | +| ~inc~ | Estimation de l'incidence de consultations en nombre de cas | +| ~inc_low~ | Estimation de la borne inférieure de l'IC95% du nombre de cas de consultation | +| ~inc_up~ | Estimation de la borne supérieure de l'IC95% du nombre de cas de consultation | +| ~inc100~ | Estimation du taux d'incidence du nombre de cas de consultation (en cas pour 100,000 habitants) | +| ~inc100_low~ | Estimation de la borne inférieure de l'IC95% du taux d'incidence du nombre de cas de consultation (en cas pour 100,000 habitants) | +| ~inc100_up~ | Estimation de la borne supérieure de l'IC95% du taux d'incidence du nombre de cas de consultation (en cas pour 100,000 habitants) | +| ~geo_insee~ | Code de la zone géographique concernée (Code INSEE) http://www.insee.fr/fr/methodes/nomenclatures/cog/ | +| ~geo_name~ | Libellé de la zone géographique (ce libellé peut être modifié sans préavis) | + +L'indication d'une semaine calendaire en format [[https://en.wikipedia.org/wiki/ISO_8601][ISO-8601]] est populaire en Europe, mais peu utilisée aux Etats-Unis. Ceci explique peut-être que peu de logiciels savent gérer ce format. Le langage Python le fait depuis la version 3.6. Nous utilisons donc ce langage pour la préparation de nos données, ce qui a l'avantage de ne nécessiter aucune bibliothèque supplémentaire. (Note: nous expliquerons dans le module 4 pourquoi il est avantageux pour la réproductibilité de se limiter à un minimum de bibliothèques.) + +** Téléchargement +Après avoir téléchargé les données, nous commençons par l'extraction des données qui nous intéressent. D'abord nous découpons le contenu du fichier en lignes, dont nous jetons la première qui ne contient qu'un commentaire. Les autres lignes sont découpées en colonnes. + +#+BEGIN_SRC python :results silent :var data_url=data-url +from urllib.request import urlopen + +data = urlopen(data_url).read() +lines = data.decode('latin-1').strip().split('\n') +data_lines = lines[1:] +table = [line.split(',') for line in data_lines] +#+END_SRC + +Regardons ce que nous avons obtenu: +#+BEGIN_SRC python :results value +table[:5] +#+END_SRC + +** Recherche de données manquantes +Il y a malheureusement beaucoup de façon d'indiquer l'absence d'un point de données. Nous testons ici seulement pour la présence de champs vides. Il faudrait aussi rechercher des valeurs non-numériques dans les colonnes à priori numériques. Nous ne le faisons pas ici, mais une vérification ultérieure capterait des telles anomalies. + +Nous construisons un nouveau jeu de données sans les lignes qui contiennent des champs vides. Nous affichons ces lignes pour en garder une trace. +#+BEGIN_SRC python :results output +valid_table = [] +for row in table: + missing = any([column == '' for column in row]) + if missing: + print(row) + else: + valid_table.append(row) +#+END_SRC + +** Extraction des colonnes utilisées +Il y a deux colonnes qui nous intéressent: la première (~"week"~) et la troisième (~"inc"~). Nous vérifions leurs noms dans l'en-tête, que nous effaçons par la suite. Enfin, nous créons un tableau avec les deux colonnes pour le traitement suivant. +#+BEGIN_SRC python :results silent +week = [row[0] for row in valid_table] +assert week[0] == 'week' +del week[0] +inc = [row[2] for row in valid_table] +assert inc[0] == 'inc +del inc[0] +data = list(zip(week, inc)) +#+END_SRC + +Regardons les premières et les dernières lignes. Nous insérons ~None~ pour indiquer à org-mode la séparation entre les trois sections du tableau: en-tête, début des données, fin des données. +#+BEGIN_SRC python :results value +[('week', 'inc'), None] + data[:5] + [None] + data[-5:] +#+END_SRC + +** Vérification +Il est toujours prudent de vérifier si les données semblent crédibles. Nous savons que les semaines sont données par six chiffres (quatre pour l'année et deux pour la semaine), et que les incidences sont des nombres entiers positifs. +#+BEGIN_SRC python :results output +for week, inc in data: + if len(week) != 6 or not week.isdigit(): + print("Valeur suspecte dans la colonne 'week': ", (week, inc)) + if not inc.isdigit(): + print("Valeur suspecte dans la colonne 'inc': ", (week, inc)) +#+END_SRC + +Pas de problème ! + +** Conversions +Pour faciliter les traitements suivants, nous remplaçons les numéros de semaine ISO par les dates qui correspondent aux lundis. A cette occasion, nous trions aussi les données par la date, et nous transformons les incidences en nombres entiers. + +#+BEGIN_SRC python :results silent +import datetime +converted_data = [(datetime.datetime.strptime(year_and_week + ":1" , '%G%V:%u').date(), + int(inc)) + for year_and_week, inc in data] +converted_data.sort(key = lambda record: record[0]) +#+END_SRC + +Regardons de nouveau les premières et les dernières lignes: +#+BEGIN_SRC python :results value +str_data = [(str(date), str(inc)) for date, inc in converted_data] +[('date', 'inc'), None] + str_data[:5] + [None] + str_data[-5:] +#+END_SRC + +** Vérification des dates +Nous faisons encore une vérification: nos dates doivent être séparées d'exactement une semaine, sauf autour du point manquant. +#+BEGIN_SRC python :results output +dates = [date for date, _ in converted_data] +for date1, date2 in zip(dates[:-1], dates[1:]): + if date2-date1 != datetime.timedelta(weeks=1): + print(f"Il y a {date2-date1} entre {date1} et {date2}") +#+END_SRC + +** Passage Python -> R +Nous passons au langage R pour inspecter nos données, parce que l'analyse et la préparation de graphiques sont plus concises en R, sans nécessiter aucune bibliothèque supplémentaire. + +Nous utilisons le mécanisme d'échange de données proposé par org-mode, ce qui nécessite un peu de code Python pour transformer les données dans le bon format. +#+NAME: data-for-R +#+BEGIN_SRC python :results silent +[('date', 'inc'), None] + [(str(date), inc) for date, inc in converted_data] +#+END_SRC + +En R, les données arrivent sous forme d'un data frame, mais il faut encore convertir les dates, qui arrivent comme chaînes de caractères. +#+BEGIN_SRC R :results output :var data=data-for-R +data$date <- as.Date(data$date) +summary(data) +#+END_SRC + +** Inspection +Regardons enfin à quoi ressemblent nos données ! +#+BEGIN_SRC R :results output graphics :file inc-plot.png +plot(data, type="l", xlab="Date", ylab="Incidence hebdomadaire") +#+END_SRC + +Un zoom sur les dernières années montre mieux la situation des pics en hiver. Le creux des incidences se trouve en été. +#+BEGIN_SRC R :results output graphics :file inc-plot-zoom.png +plot(tail(data, 200), type="l", xlab="Date", ylab="Incidence hebdomadaire") +#+END_SRC + +* Étude de l'incidence annuelle + +** Calcul de l'incidence annuelle +Étant donné que le pic de l'épidémie se situe en hiver, à cheval entre deux années civiles, nous définissons la période de référence entre deux minima de l'incidence, du 1er août de l'année /N/ au 1er août de l'année /N+1/. Nous mettons l'année /N+1/ comme étiquette sur cette année décalée, car le pic de l'épidémie est toujours au début de l'année /N+1/. Comme l'incidence du syndrome grippal est très faible en été, cette modification ne risque pas de fausser nos conclusions. + +Voici une fonction qui calcule l'incidence annuelle en appliquant ces conventions. +#+BEGIN_SRC R :results silent +pic_annuel = function(annee) { + debut = paste0(annee-1,"-08-01") + fin = paste0(annee,"-08-01") + semaines = data$date > debut & data$date <= fin + sum(data$inc[semaines], na.rm=TRUE) + } +#+END_SRC + +Nous devons aussi faire attention aux premières et dernières années de notre jeux de données. Les données commencent en octobre 1984, ce qui ne permet pas de quantifier complètement le pic attribué à l'année 1985. Nous le supprimons donc de notre analyse. Pour la même raison, nous arrêtons en 2018. Nous devons attendre les données pour juillet 2019 avant d'augmenter la dernière année à 2019. +#+BEGIN_SRC R :results silent +annees <- 1986:2018 +#+END_SRC + +#+BEGIN_SRC R :results value +inc_annuelle = data.frame(annee = annees, + incidence = sapply(annees, pic_annuel)) +head(inc_annuelle) +#+END_SRC + +** Inspection +Voici les incidences annuelles en graphique. +#+BEGIN_SRC R :results output graphics :file annual-inc-plot.png +plot(inc_annuelle, type="p", xlab="Année", ylab="Incidence annuelle") +#+END_SRC + +** Identification des épidémies les plus fortes +Une liste triée par ordre décroissant d'incidence annuelle permet de plus facilement repérer les valeurs les plus élevées: +#+BEGIN_SRC R :results output +head(inc_annuelle[order(-inc_annuelle$incidence),]) +#+END_SRC + +Enfin, un histogramme montre bien que les épidémies fortes, qui touchent environ 10% de la population française, sont assez rares: il y en eu trois au cours des 35 dernières années. +#+BEGIN_SRC R :results 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