From e9dbda517ea5f6a50660ee2583a02b3adfd5c445 Mon Sep 17 00:00:00 2001 From: escuiller Date: Tue, 5 May 2020 22:04:10 +0200 Subject: [PATCH] =?UTF-8?q?module3:exports=20html=20et=20csv=20donn=C3=A9e?= =?UTF-8?q?s=20varicelle,=20module4:=20exo=201=20en=20cours?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- module3/exo1/incidence-PAY-3.csv | 1853 ++++++++++++++++++++++++++ module3/exo2/exercice_python_fr.html | 754 +++++++++++ module3/exo2/incidence-PAY-7.csv | 1535 +++++++++++++++++++++ module4/challenger.org | 344 +++++ module4/fig1.png | Bin 0 -> 14109 bytes module4/fig2.png | Bin 0 -> 15287 bytes module4/fig3.png | Bin 0 -> 21292 bytes 7 files changed, 4486 insertions(+) create mode 100644 module3/exo1/incidence-PAY-3.csv create mode 100644 module3/exo2/exercice_python_fr.html create mode 100644 module3/exo2/incidence-PAY-7.csv create mode 100644 module4/challenger.org create mode 100644 module4/fig1.png create mode 100644 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+198736,3,7906,4014,11798,14,7,21,FR,France +198735,3,6149,2970,9328,11,5,17,FR,France +198734,3,6631,2734,10528,12,5,19,FR,France +198733,3,6404,1834,10974,12,4,20,FR,France +198732,3,7215,2353,12077,13,4,22,FR,France +198731,3,8233,3655,12811,15,7,23,FR,France +198730,3,4642,1301,7983,8,2,14,FR,France +198729,3,4389,913,7865,8,2,14,FR,France +198728,3,2702,138,5266,5,0,10,FR,France +198727,3,10171,5904,14438,18,10,26,FR,France +198726,3,12341,7824,16858,22,14,30,FR,France +198725,3,23413,15490,31336,42,28,56,FR,France +198724,3,11289,7282,15296,20,13,27,FR,France +198723,3,15857,10943,20771,29,20,38,FR,France +198722,3,14887,9743,20031,27,18,36,FR,France +198721,3,17619,12649,22589,32,23,41,FR,France +198720,3,10344,6454,14234,19,12,26,FR,France +198719,3,12539,7943,17135,23,15,31,FR,France +198718,3,16095,10330,21860,29,19,39,FR,France +198717,3,21256,14850,27662,38,26,50,FR,France +198716,3,32416,25100,39732,58,45,71,FR,France +198715,3,44292,36456,52128,80,66,94,FR,France +198714,3,50642,41866,59418,91,75,107,FR,France +198713,3,62246,52749,71743,112,95,129,FR,France +198712,3,59625,50653,68597,107,91,123,FR,France +198711,3,53561,45035,62087,96,81,111,FR,France +198710,3,93067,80519,105615,167,144,190,FR,France +198709,3,147006,133519,160493,264,240,288,FR,France +198708,3,217779,202179,233379,391,363,419,FR,France +198707,3,288180,270718,305642,518,487,549,FR,France +198706,3,296702,279051,314353,533,501,565,FR,France +198705,3,236046,219483,252609,424,394,454,FR,France +198704,3,158333,143625,173041,285,259,311,FR,France +198703,3,103841,91699,115983,187,165,209,FR,France +198702,3,74213,64014,84412,133,115,151,FR,France +198701,3,69745,59207,80283,125,106,144,FR,France +198652,3,76263,64958,87568,138,118,158,FR,France +198651,3,72920,63047,82793,132,114,150,FR,France +198650,3,73413,64019,82807,133,116,150,FR,France +198649,3,56296,48229,64363,102,87,117,FR,France +198648,3,46031,38578,53484,83,70,96,FR,France +198647,3,36740,29710,43770,66,53,79,FR,France +198646,3,32134,25327,38941,58,46,70,FR,France +198645,3,38964,31382,46546,70,56,84,FR,France +198644,3,28646,22048,35244,52,40,64,FR,France +198643,3,27532,20842,34222,50,38,62,FR,France +198642,3,31815,25124,38506,57,45,69,FR,France +198641,3,32864,25939,39789,59,47,71,FR,France +198640,3,33516,26776,40256,60,48,72,FR,France +198639,3,28665,22477,34853,52,41,63,FR,France +198638,3,26615,20479,32751,48,37,59,FR,France +198637,3,15998,10802,21194,29,20,38,FR,France +198636,3,9182,4982,13382,17,9,25,FR,France +198635,3,10587,4470,16704,19,8,30,FR,France +198634,3,5762,858,10666,10,1,19,FR,France +198633,3,3115,554,5676,6,1,11,FR,France +198632,3,1027,0,2311,2,0,4,FR,France +198631,3,2247,0,4574,4,0,8,FR,France +198630,3,2346,141,4551,4,0,8,FR,France +198629,3,3654,931,6377,7,2,12,FR,France +198628,3,2327,0,5318,4,0,9,FR,France +198627,3,7529,3353,11705,14,6,22,FR,France +198626,3,8778,5106,12450,16,9,23,FR,France +198625,3,11075,6804,15346,20,12,28,FR,France +198624,3,11160,7252,15068,20,13,27,FR,France +198623,3,14372,9896,18848,26,18,34,FR,France +198622,3,9717,5594,13840,18,11,25,FR,France +198621,3,14460,9575,19345,26,17,35,FR,France +198620,3,17133,12106,22160,31,22,40,FR,France +198619,3,22177,16008,28346,40,29,51,FR,France +198618,3,31736,24115,39357,57,43,71,FR,France +198617,3,34874,27440,42308,63,50,76,FR,France +198616,3,41196,32894,49498,74,59,89,FR,France +198615,3,42659,33537,51781,77,61,93,FR,France +198614,3,49792,39728,59856,90,72,108,FR,France +198613,3,87249,63562,110936,157,114,200,FR,France +198612,3,124777,97237,152317,225,175,275,FR,France +198611,3,168146,151035,185257,303,272,334,FR,France +198610,3,257305,231225,283385,464,417,511,FR,France +198609,3,321140,296644,345636,580,536,624,FR,France +198608,3,448786,419219,478353,810,757,863,FR,France +198607,3,490723,460150,521296,886,831,941,FR,France +198606,3,439300,411764,466836,793,743,843,FR,France +198605,3,364727,339868,389586,658,613,703,FR,France +198604,3,348509,322464,374554,629,582,676,FR,France +198603,3,271539,248654,294424,490,449,531,FR,France +198602,3,178138,159344,196932,322,288,356,FR,France +198601,3,112614,96539,128689,203,174,232,FR,France +198552,3,86452,72250,100654,157,131,183,FR,France +198551,3,114666,99538,129794,208,181,235,FR,France +198550,3,86031,73604,98458,156,133,179,FR,France +198549,3,65931,55326,76536,120,101,139,FR,France +198548,3,68291,57581,79001,124,105,143,FR,France +198547,3,66177,55221,77133,120,100,140,FR,France +198546,3,70534,58788,82280,128,107,149,FR,France +198545,3,57514,47167,67861,104,85,123,FR,France +198544,3,67356,55744,78968,122,101,143,FR,France +198543,3,87402,74208,100596,158,134,182,FR,France +198542,3,76218,64604,87832,138,117,159,FR,France +198541,3,45712,36755,54669,83,67,99,FR,France +198540,3,49739,40335,59143,90,73,107,FR,France +198539,3,39819,31234,48404,72,56,88,FR,France +198538,3,27605,20614,34596,50,37,63,FR,France +198537,3,22219,15626,28812,40,28,52,FR,France +198536,3,27986,18992,36980,51,35,67,FR,France +198535,3,30215,18546,41884,55,34,76,FR,France +198534,3,40389,24786,55992,73,45,101,FR,France +198533,3,22611,8819,36403,41,16,66,FR,France +198532,3,7488,1851,13125,14,4,24,FR,France +198531,3,16958,8479,25437,31,16,46,FR,France +198530,3,11598,5507,17689,21,10,32,FR,France +198529,3,13054,6474,19634,24,12,36,FR,France +198528,3,14588,7659,21517,26,13,39,FR,France +198527,3,19670,11761,27579,36,22,50,FR,France +198526,3,18609,12637,24581,34,23,45,FR,France +198525,3,19362,12454,26270,35,22,48,FR,France +198524,3,19855,13577,26133,36,25,47,FR,France +198523,3,19373,10010,28736,35,18,52,FR,France +198522,3,24099,17190,31008,44,31,57,FR,France +198521,3,26096,19621,32571,47,35,59,FR,France +198520,3,27896,20885,34907,51,38,64,FR,France +198519,3,43154,32821,53487,78,59,97,FR,France +198518,3,40555,29935,51175,74,55,93,FR,France +198517,3,34053,24366,43740,62,44,80,FR,France +198516,3,50362,36451,64273,91,66,116,FR,France +198515,3,63881,45538,82224,116,83,149,FR,France +198514,3,134545,114400,154690,244,207,281,FR,France +198513,3,197206,176080,218332,357,319,395,FR,France +198512,3,245240,223304,267176,445,405,485,FR,France +198511,3,276205,252399,300011,501,458,544,FR,France +198510,3,353231,326279,380183,640,591,689,FR,France +198509,3,369895,341109,398681,670,618,722,FR,France +198508,3,389886,359529,420243,707,652,762,FR,France +198507,3,471852,432599,511105,855,784,926,FR,France +198506,3,565825,518011,613639,1026,939,1113,FR,France +198505,3,637302,592795,681809,1155,1074,1236,FR,France +198504,3,424937,390794,459080,770,708,832,FR,France +198503,3,213901,174689,253113,388,317,459,FR,France +198502,3,97586,80949,114223,177,147,207,FR,France +198501,3,85489,65918,105060,155,120,190,FR,France +198452,3,84830,60602,109058,154,110,198,FR,France +198451,3,101726,80242,123210,185,146,224,FR,France +198450,3,123680,101401,145959,225,184,266,FR,France +198449,3,101073,81684,120462,184,149,219,FR,France +198448,3,78620,60634,96606,143,110,176,FR,France +198447,3,72029,54274,89784,131,99,163,FR,France +198446,3,87330,67686,106974,159,123,195,FR,France +198445,3,135223,101414,169032,246,184,308,FR,France +198444,3,68422,20056,116788,125,37,213,FR,France diff --git a/module3/exo2/exercice_python_fr.html b/module3/exo2/exercice_python_fr.html new file mode 100644 index 0000000..d8dfda9 --- /dev/null +++ b/module3/exo2/exercice_python_fr.html @@ -0,0 +1,754 @@ + + + + + + + +Module 3 - exercice 2 + + + + + + + + + + + + +
+

Module 3 - exercice 2

+ + +
+

1 Import des données, vérification, préparation

+
+
+
+

1.1 Import et vérification rapide

+
+

+Les données au format csv sont téléchargées depuis l'adresse : +http://www.sentiweb.fr/datasets/incidence-PAY-7.csv +

+ +

+Code source adapté de : +

+

+https://gitlab.inria.fr/learninglab/mooc-rr/mooc-rr-ressources/blob/master/module3/ressources/analyse-syndrome-grippal-orgmode.org +

+ +
+
from urllib.request import urlretrieve
+import os
+
+if os.path.isfile("incidence-PAY-7.csv"):
+    print("Chargement du fichier local")
+else:
+    urlretrieve("http://www.sentiweb.fr/datasets/incidence-PAY-7.csv", "incidence-PAY-7.csv")
+data = open("incidence-PAY-7.csv", encoding="iso-8859-1").read()
+lines = data.strip().split('\n')
+data_lines = lines[1:]
+table = [line.split(',') for line in data_lines]
+
+
+ +
+Chargement du fichier local
+
+
+ +

+Vérification visuelle des premières lignes. +

+
+
table[:5]
+
+
+ + + + +++ ++ ++ ++ ++ ++ ++ ++ ++ ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
weekindicatorincinclowincupinc100inc100lowinc100upgeoinseegeoname
2020167803831523102FRFrance
202015719186753161315FRFrance
2020147387922275531639FRFrance
202013773265236941611814FRFrance
+
+
+ +
+

1.2 Extraction des colonnes utilisées

+
+
+
week = [row[0] for row in table]
+assert week[0] == 'week'
+del week[0]
+inc = [row[2] for row in table]
+assert inc[0] == 'inc'
+del inc[0]
+data = list(zip(week, inc))
+
+
+ +

+Vérification visuelle des premières et dernières lignes. +

+
+
[('week', 'inc'), None] + data[:5] + [None] + data[-5:]
+
+
+ + + + +++ ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
weekinc
202016803
2020151918
2020143879
2020137326
2020128123
19910115565
19905219375
19905119080
19905011079
1990491143
+
+
+ +
+

1.3 Conversion des dates

+
+

+Code source du mooc. +

+
+
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])
+
+
+ +

+Visualisation premières lignes. Code source tjrs repris de +1 +

+ +
+
str_data = [(str(date), str(inc)) for date, inc in converted_data]
+[('date', 'inc'), None] + str_data[:5] + [None] + str_data[-5:]
+
+
+ + + + +++ ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
dateinc
1990-12-031143
1990-12-1011079
1990-12-1719080
1990-12-2419375
1990-12-3115565
2020-03-168123
2020-03-237326
2020-03-303879
2020-04-061918
2020-04-13803
+ +

+Vérification des dates : voyons si il y a des données manquantes, +i.e. plus de 7 jours d'écart entre deux dates. +

+ +
+
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}")
+
+
+ +

+Visiblement aucune ligne manquante. +

+
+
+
+ + +
+

2 Analyse des données

+
+

+Contrairement au mooc, je fais l'analyse entièrement avec python, +librairie pandas. +

+
+ +
+

2.1 Visualisation au pas semaine

+
+
+
import pandas
+data = pandas.DataFrame(converted_data, columns=("Date", "Incidence"))
+data.set_index(pandas.to_datetime(data["Date"]), inplace=True)
+fig = data.plot()
+plt.savefig("incidence_hebdo_varicelle.png")
+
+
+ +
+Traceback (most recent call last):
+  File "<stdin>", line 1, in <module>
+  File "/tmp/babel-EgMhYL/python-1puHgN", line 5, in <module>
+    plt.savefig("incidence_hebdo_varicelle.png")
+NameError: name 'plt' is not defined
+
+
+ + +
+

incidence_hebdo_varicelle.png +

+
+ +

+Zoom sur une année pour situer à quel mois se situe de pic annuel. +

+ +
+
#print(data.index)
+fig2 = data["2002-01-01":"2002-12-31"].plot()
+plt.savefig("incidence_hebdo_varicelle_2002.png")
+
+
+ +
+Traceback (most recent call last):
+  File "<stdin>", line 1, in <module>
+  File "/tmp/babel-EgMhYL/python-MvQYNv", line 3, in <module>
+    plt.savefig("incidence_hebdo_varicelle_2002.png")
+NameError: name 'plt' is not defined
+
+
+ +

+"incidence_hebdo_varicelle_2002.png" +

+ +

+Le pic semble être au printemps de chaque année, légèrement plus tard +que le pic de grippe. +

+
+
+ +
+

2.2 Analyse année par année

+
+

+La période de référence commence au 1er septembre. La période +commençant en septembre de l'année N a l'étiquette N+1 car le pic +annuel se situe en début/printemps de l'année N+1 (sur le modèle +de l'analyse du syndrome grippal dans le mooc). +De plus, on supprime les données antérieures au 01-09-1991 car pas de +données pour la période du 01-09-1990 au 03-12-1990, qui compte pour +l'année 1991. L'année 1991 n'est donc pas analysée. +De manière similaire, on ne tient pas compte des données postérieures +au 01-09-2019 car les données s'arrêtent au 13-04-2020. L'année 2020 +n'est donc pas analysée non plus. +

+ +
+
data = data["1991-09-01":"2019-09-01"]
+
+années = [N for N in range(1992,2020,1)]
+incidence_annuelle = []
+
+for N in années :
+    incidence_annuelle.append(data["{}-09-01".format(N-1):"{}-08-31".format(N)]["Incidence"].sum())
+
+donn = pandas.DataFrame()
+donn["Année"] = années
+donn.set_index("Année", inplace=True)
+donn["Incidence annuelle"] = incidence_annuelle
+
+
+
+ +

+Epidémie la plus forte. +

+ +
+
print("incidence max : ", donn.max())
+print("année : ", donn.idxmax())
+
+
+ +
+incidence max :  Incidence annuelle    844054
+dtype: int64
+année :  Incidence annuelle    2009
+dtype: int64
+
+
+ +

+Epidémie la plus faible. +

+ +
+
print("incidence min : ", donn.min())
+print("année : ", donn.idxmin())
+
+
+ +
+incidence min :  Incidence annuelle    515343
+dtype: int64
+année :  Incidence annuelle    2002
+dtype: int64
+
+
+
+
+
+
+
+

Date: La date du jour

+

Auteur: Votre nom

+

Created: 2020-04-28 mar. 14:05

+

Validate

+
+ + diff --git a/module3/exo2/incidence-PAY-7.csv b/module3/exo2/incidence-PAY-7.csv new file mode 100644 index 0000000..18f459a --- /dev/null +++ b/module3/exo2/incidence-PAY-7.csv @@ -0,0 +1,1535 @@ +# @source="réseau Sentinelles, INSERM, Sorbonne Université, http://www.sentiweb.fr", @meta={"period":[199049,202016],"geo":["PAY","1"],"geo_ref":"insee","indicator":"7","type":"all","conf_int":true,"compact":false}, @date=2020-04-27T14:24:08+02:00 +week,indicator,inc,inc_low,inc_up,inc100,inc100_low,inc100_up,geo_insee,geo_name +202016,7,803,83,1523,1,0,2,FR,France +202015,7,1918,675,3161,3,1,5,FR,France +202014,7,3879,2227,5531,6,3,9,FR,France +202013,7,7326,5236,9416,11,8,14,FR,France +202012,7,8123,5790,10456,12,8,16,FR,France +202011,7,10198,7568,12828,15,11,19,FR,France +202010,7,9011,6691,11331,14,10,18,FR,France +202009,7,13631,10544,16718,21,16,26,FR,France +202008,7,10424,7708,13140,16,12,20,FR,France +202007,7,8959,6574,11344,14,10,18,FR,France 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+199051,7,19080,13807,24353,34,25,43,FR,France +199050,7,11079,6660,15498,20,12,28,FR,France +199049,7,1143,0,2610,2,0,5,FR,France diff --git a/module4/challenger.org b/module4/challenger.org new file mode 100644 index 0000000..b52f8d5 --- /dev/null +++ b/module4/challenger.org @@ -0,0 +1,344 @@ +* Risk Analysis of the Space Shuttle: Pre-Challenger Prediction of Failure + :PROPERTIES: + :CUSTOM_ID: risk-analysis-of-the-space-shuttle-pre-challenger-prediction-of-failure + :END: + +NDT: This document is based on the +[[https://app-learninglab.inria.fr/moocrr/gitlab/moocrr-session3/moocrr-reproducibility-study/blob/master/src/Python3/challenger.ipynb][original +ipynb notebook]] from the +mooc, which was converted into an org notebook thanks to pandoc. Then code +blocks were manually edited (to a minimal extent) to retrieve +locally-executed results. Edits include: indentation removal, adding +plt.savefig(), etc. + +In this document we reperform some of the analysis provided in /Risk +Analysis of the Space Shuttle: Pre-Challenger Prediction of Failure/ by +/Siddhartha R. Dalal, Edward B. Fowlkes, Bruce Hoadley/ published in +/Journal of the American Statistical Association/, Vol. 84, No. 408 +(Dec., 1989), pp. 945-957 and available at +[[http://www.jstor.org/stable/2290069]]. + +On the fourth page of this article, they indicate that the maximum +likelihood estimates of the logistic regression using only temperature +are: $\hat{\alpha}=5.085$ and $\hat{\beta}=-0.1156$ and their asymptotic +standard errors are $s_{\hat{\alpha}}=3.052$ and +$s_{\hat{\beta}}=0.047$. The Goodness of fit indicated for this model +was $G^2=18.086$ with 21 degrees of freedom. Our goal is to reproduce +the computation behind these values and the Figure 4 of this article, +possibly in a nicer looking way. + +** Technical information on the computer on which the analysis is run + :PROPERTIES: + :CUSTOM_ID: technical-information-on-the-computer-on-which-the-analysis-is-run + :END: + +We will be using the python3 language using the pandas, statsmodels, +numpy, matplotlib and seaborn libraries. + +#+BEGIN_SRC python :session :export both :results output +def print_imported_modules(): + import sys + for name, val in sorted(sys.modules.items()): + if(hasattr(val, '__version__')): + print(val.__name__, val.__version__) +# else: +# print(val.__name__, "(unknown version)") +def print_sys_info(): + import sys + import platform + print(sys.version) + print(platform.uname()) + +import numpy as np +import pandas as pd +import matplotlib.pyplot as plt +import statsmodels.api as sm +import seaborn as sns + +print_sys_info() +print_imported_modules() +#+END_SRC + +#+RESULTS: +#+begin_example +3.8.2 | packaged by conda-forge | (default, Apr 16 2020, 18:04:51) +[GCC 7.3.0] +uname_result(system='Linux', node='hpisor', release='4.9.0-12-amd64', version='#1 SMP Debian 4.9.210-1 (2020-01-20)', machine='x86_64', processor='') +_csv 1.0 +_ctypes 1.1.0 +decimal 1.70 +argparse 1.1 +csv 1.0 +ctypes 1.1.0 +cycler 0.10.0 +dateutil 2.8.1 +decimal 1.70 +distutils 3.8.2 +json 2.0.9 +kiwisolver 1.0.1 +logging 0.5.1.2 +matplotlib 3.1.3 +matplotlib.backends.backend_agg 3.1.3 +matplotlib.backends.backend_qt5 5.9.2 +matplotlib.backends.qt_compat 5.9.2 +matplotlib.backends.qt_editor._formlayout 1.0.10 +mkl 2.3.0 +numpy 1.18.1 +numpy.core 1.18.1 +numpy.core._multiarray_umath 3.1 +numpy.lib 1.18.1 +numpy.linalg._umath_linalg b'0.1.5' +pandas 1.0.3 +patsy 0.5.1 +patsy.version 0.5.1 +platform 1.0.8 +pyparsing 2.4.6 +pytz 2019.3 +re 2.2.1 +scipy 1.4.1 +scipy._lib._uarray 0.5.1+5.ga864a57.scipy +scipy._lib.decorator 4.0.5 +scipy._lib.six 1.2.0 +scipy.integrate._dop b'$Revision: $' +scipy.integrate._ode $Id$ +scipy.integrate._odepack 1.9 +scipy.integrate._quadpack 1.13 +scipy.integrate.lsoda b'$Revision: $' +scipy.integrate.vode b'$Revision: $' +scipy.interpolate._fitpack 1.7 +scipy.interpolate.dfitpack b'$Revision: $' +scipy.linalg 0.4.9 +scipy.linalg._fblas b'$Revision: $' +scipy.linalg._flapack b'$Revision: $' +scipy.linalg._flinalg b'$Revision: $' +scipy.ndimage 2.0 +scipy.optimize._cobyla b'$Revision: $' +scipy.optimize._lbfgsb b'$Revision: $' +scipy.optimize._minpack 1.10 +scipy.optimize._nnls b'$Revision: $' +scipy.optimize._slsqp b'$Revision: $' +scipy.optimize.minpack2 b'$Revision: $' +scipy.signal.spline 0.2 +scipy.sparse.linalg.eigen.arpack._arpack b'$Revision: $' +scipy.sparse.linalg.isolve._iterative b'$Revision: $' +scipy.special.specfun b'$Revision: $' +scipy.stats.mvn b'$Revision: $' +scipy.stats.statlib b'$Revision: $' +seaborn 0.10.1 +seaborn.external.husl 2.1.0 +six 1.14.0 +statsmodels 0.11.0 +statsmodels.__init__ 0.11.0 +statsmodels.api 0.11.0 +statsmodels.tools.web 0.11.0 +urllib.request 3.8 +zlib 1.0 +#+end_example + +** Loading and inspecting data + :PROPERTIES: + :CUSTOM_ID: loading-and-inspecting-data + :END: + +Let's start by reading data. + +Note: url corrected based on forum post at https://www.fun-mooc.fr/courses/course-v1:inria+41016+self-paced/courseware/7bf2267c336246f9b6518db624692e14/96b7ce47bd11466a9a2e63d8e8a93d99/ + +#+BEGIN_SRC python :session :export both :results value +data = pd.read_csv("https://app-learninglab.inria.fr/moocrr/gitlab/moocrr-session3/moocrr-reproducibility-study/raw/master/data/shuttle.csv") +data +#+END_SRC + +#+RESULTS: +#+begin_example + Date Count Temperature Pressure Malfunction +0 4/12/81 6 66 50 0 +1 11/12/81 6 70 50 1 +2 3/22/82 6 69 50 0 +3 11/11/82 6 68 50 0 +4 4/04/83 6 67 50 0 +5 6/18/82 6 72 50 0 +6 8/30/83 6 73 100 0 +7 11/28/83 6 70 100 0 +8 2/03/84 6 57 200 1 +9 4/06/84 6 63 200 1 +10 8/30/84 6 70 200 1 +11 10/05/84 6 78 200 0 +12 11/08/84 6 67 200 0 +13 1/24/85 6 53 200 2 +14 4/12/85 6 67 200 0 +15 4/29/85 6 75 200 0 +16 6/17/85 6 70 200 0 +17 7/2903/85 6 81 200 0 +18 8/27/85 6 76 200 0 +19 10/03/85 6 79 200 0 +20 10/30/85 6 75 200 2 +21 11/26/85 6 76 200 0 +22 1/12/86 6 58 200 1 +#+end_example + + +We know from our previous experience on this data set that filtering +data is a really bad idea. We will therefore process it as such. + +#+BEGIN_SRC python :session :export both :results output +#%matplotlib inline +pd.set_option('mode.chained_assignment',None) # this removes a useless warning from pandas +import matplotlib.pyplot as plt + +data["Frequency"]=data.Malfunction/data.Count +data.plot(x="Temperature",y="Frequency",kind="scatter",ylim=[0,1]) +plt.grid(True) +plt.savefig("fig1.png") +#+END_SRC + +#+RESULTS: +: 'c' argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with 'x' & 'y'. Please use a 2-D array with a single row if you really want to specify the same RGB or RGBA value for all points. + +[[./fig1.png]] + +** Logistic regression + :PROPERTIES: + :CUSTOM_ID: logistic-regression + :END: + +Let's assume O-rings independently fail with the same probability which +solely depends on temperature. A logistic regression should allow us to +estimate the influence of temperature. + +#+BEGIN_SRC python :session :export both :results value +import statsmodels.api as sm + +data["Success"]=data.Count-data.Malfunction +data["Intercept"]=1 + +logmodel=sm.GLM(data['Frequency'], data[['Intercept','Temperature']], + family=sm.families.Binomial(sm.families.links.logit)).fit() + +logmodel.summary() +#+END_SRC + +#+RESULTS: +#+begin_example + Generalized Linear Model Regression Results +============================================================================== +Dep. Variable: Frequency No. Observations: 23 +Model: GLM Df Residuals: 21 +Model Family: Binomial Df Model: 1 +Link Function: logit Scale: 1.0000 +Method: IRLS Log-Likelihood: -3.9210 +Date: mar., 05 mai 2020 Deviance: 3.0144 +Time: 19:13:17 Pearson chi2: 5.00 +No. Iterations: 6 +Covariance Type: nonrobust +=============================================================================== + coef std err z P>|z| [0.025 0.975] +------------------------------------------------------------------------------- +Intercept 5.0850 7.477 0.680 0.496 -9.570 19.740 +Temperature -0.1156 0.115 -1.004 0.316 -0.341 0.110 +=============================================================================== +#+end_example + +The maximum likelyhood estimator of the intercept and of Temperature are +thus $\hat{\alpha}=5.0849$ and $\hat{\beta}=-0.1156$. This *corresponds* +to the values from the article of Dalal /et al./ The standard errors are +$s_{\hat{\alpha}} = 7.477$ and $s_{\hat{\beta}} = 0.115$, which is +*different* from the $3.052$ and $0.04702$ reported by Dallal /et al./ +The deviance is $3.01444$ with 21 degrees of freedom. I cannot find any +value similar to the Goodness of fit ($G^2=18.086$) reported by Dalal +/et al./ There seems to be something wrong. Oh I know, I haven't +indicated that my observations are actually the result of 6 observations +for each rocket launch. Let's indicate these weights (since the weights +are always the same throughout all experiments, it does not change the +estimates of the fit but it does influence the variance estimates). + +#+BEGIN_SRC python :session :export both :results value +logmodel=sm.GLM(data['Frequency'], data[['Intercept','Temperature']], + family=sm.families.Binomial(sm.families.links.logit), + var_weights=data['Count']).fit() + +logmodel.summary() +#+END_SRC + +#+RESULTS: +#+begin_example + Generalized Linear Model Regression Results +============================================================================== +Dep. Variable: Frequency No. Observations: 23 +Model: GLM Df Residuals: 21 +Model Family: Binomial Df Model: 1 +Link Function: logit Scale: 1.0000 +Method: IRLS Log-Likelihood: -23.526 +Date: mar., 05 mai 2020 Deviance: 18.086 +Time: 19:13:17 Pearson chi2: 30.0 +No. Iterations: 6 +Covariance Type: nonrobust +=============================================================================== + coef std err z P>|z| [0.025 0.975] +------------------------------------------------------------------------------- +Intercept 5.0850 3.052 1.666 0.096 -0.898 11.068 +Temperature -0.1156 0.047 -2.458 0.014 -0.208 -0.023 +=============================================================================== +#+end_example + +Good, now I have recovered the asymptotic standard errors +$s_{\hat{\alpha}}=3.052$ and $s_{\hat{\beta}}=0.047$. The Goodness of +fit (Deviance) indicated for this model is $G^2=18.086$ with 21 degrees +of freedom (Df Residuals). + +*I have therefore managed to fully replicate the results of the Dalal +/et al./ article*. + +** Predicting failure probability + :PROPERTIES: + :CUSTOM_ID: predicting-failure-probability + :END: + +The temperature when launching the shuttle was 31°F. Let's try to +estimate the failure probability for such temperature using our model.: + +#+BEGIN_SRC python :session :results output :export both +#%matplotlib inline +data_pred = pd.DataFrame({'Temperature': np.linspace(start=30, stop=90, num=121), 'Intercept': 1}) +data_pred['Frequency'] = logmodel.predict(data_pred) +data_pred.plot(x="Temperature",y="Frequency",kind="line",ylim=[0,1]) +plt.scatter(x=data["Temperature"],y=data["Frequency"]) +plt.grid(True) +plt.savefig("fig2.png") +#+END_SRC + +#+RESULTS: + +[[./fig2.png]] + +This figure is very similar to the Figure 4 of Dalal /et al./ *I have +managed to replicate the Figure 4 of the Dalal /et al./ article.* + +** Computing and plotting uncertainty + :PROPERTIES: + :CUSTOM_ID: computing-and-plotting-uncertainty + :END: + +Following the documentation of +[[https://seaborn.pydata.org/generated/seaborn.regplot.html][Seaborn]], +I use regplot. + +#+BEGIN_SRC python :session :results output :export both +sns.set(color_codes=True) +plt.xlim(30,90) +plt.ylim(0,1) +sns.regplot(x='Temperature', y='Frequency', data=data, logistic=True) +plt.savefig("fig3.png") +#+END_SRC + +#+RESULTS: + +[[./fig3.png]] + +*I think I have managed to correctly compute and plot the uncertainty of +my prediction.* Although the shaded area seems very similar to +[[https://app-learninglab.inria.fr/moocrr/gitlab/moocrr-session3/moocrr-reproducibility-study/tree/master/challenger.pdf][the +one obtained by with R]], I can spot a few differences (e.g., the blue +point for temperature 63 is outside)... Could this be a numerical error +? Or a difference in the statistical method ? 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