{"id":293,"date":"2014-10-05T16:38:50","date_gmt":"2014-10-05T14:38:50","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/coefficient-de-correlation-avec-r\/"},"modified":"2022-01-05T22:41:53","modified_gmt":"2022-01-05T21:41:53","slug":"coefficient-de-correlation-avec-r","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/le-logiciel-r\/les-tests-avec-r\/coefficient-de-correlation-avec-r\/","title":{"rendered":"Coefficient de corr\u00e9lation avec R"},"content":{"rendered":"

Un fichier de donn\u00e9es<\/h2>\n

Travaillons sur une enqu\u00eate de satisfactions dans un h\u00f4pital, r\u00e9cup\u00e9r\u00e9 lors d’un cours de FUN (France Unit\u00e9 Num\u00e9rique). Les fichiers sont disponibles ici<\/a>.<\/p>\n

Par la suite, ces donn\u00e9es seront stock\u00e9es dans la variable satis<\/em> .<\/p>\n

Dans ces donn\u00e9es comme souvent, les observations sont en lignes et les variables en colonnes.<\/p>\n

Quelques rep\u00e8re<\/h2>\n

– Si le coefficient de corr\u00e9lation $r$ est nul, on dit que les deux param\u00e8tres sont ind\u00e9pendants.
\n– Si $r>0$, ils varient dans le m\u00eame sens.
\n– Si $r<0,4$, la corr\u00e9lation est faible.
\n– Dans le cas d’un est, il faut que $p < 5~\\%$.<\/p>\n

Un exemple<\/h2>\n

Cherchons s’il y a une corr\u00e9lation entre le score de relation et l’\u00e2ge des personnes.<\/p>\n

Des graphiques<\/h2>\n

Commen\u00e7ons par tracer le nuage de points.<\/p>\n

plot(satis$score.relation,satis$age)<\/pre>\n
\"plot_01.png\"<\/p>\n
Pour \u00e9viter les superpositions, on peut utiliser la fonctions jitter<\/em>.<\/p>\n
plot(jitter(satis$score.relation),jitter(satis$age))<\/pre>\n
\"plot_02.png\"<\/p>\n
Le coefficient de corr\u00e9lation<\/h2>\n
On peut obtenir ce coefficient uniquement par la commande cor<\/em> :<\/p>\n
cor(satis$score.relation,satis$age,use=\"complete.obs\")<\/pre>\n

\n[1] 0.09596955
\n<\/code><\/p>\n
Mais il est aussi simple de faire le test complet avec la m\u00e9thode de Pearson :<\/p>\n
cor.test(satis$score.relation,satis$age,use=\"complete.obs\")<\/pre>\n

\nPearson's product-moment correlation<\/code><\/p>\n

\n<\/code><\/p>\n
data:  satis$score.relation and satis$age
\nt = 1.796, df = 347, p-value = 0.07336
\nalternative hypothesis: true correlation is not equal to 0
\n95 percent confidence interval:
\n-0.009102243  0.198945290
\nsample estimates:
\ncor
\n0.09596955
\n<\/code><\/p>\n
On y voit que $r \\approx 0,1$, ce qui est tr\u00e8s faible.<\/p>\n
De plus, $p \\approx 7~\\% $, ce qui est trop \u00e9lev\u00e9.<\/p>\n
On ne peut pas affirm\u00e9 qu’une corr\u00e9lation existe entre le score de relation et l’\u00e2ge.<\/p>\n","protected":false},"excerpt":{"rendered":"
Un fichier de donn\u00e9es Travaillons sur une enqu\u00eate de satisfactions dans un h\u00f4pital, r\u00e9cup\u00e9r\u00e9 lors d’un cours de FUN (France Unit\u00e9 Num\u00e9rique). Les fichiers sont disponibles ici. Par la suite,…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2089,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-293","page","type-page","status-publish","hentry"],"yoast_head":"\nCoefficient de corr\u00e9lation avec R - Maths & Num\u00e9rique<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/le-logiciel-r\/les-tests-avec-r\/coefficient-de-correlation-avec-r\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Coefficient de corr\u00e9lation avec R - Maths & Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Un fichier de donn\u00e9es Travaillons sur une enqu\u00eate de satisfactions dans un h\u00f4pital, r\u00e9cup\u00e9r\u00e9 lors d’un cours de FUN (France Unit\u00e9 Num\u00e9rique). 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