{"id":5814,"date":"2023-09-04T11:16:30","date_gmt":"2023-09-04T09:16:30","guid":{"rendered":"https:\/\/francestat.com\/?page_id=5814"},"modified":"2024-07-11T11:39:14","modified_gmt":"2024-07-11T09:39:14","slug":"uniwin-ell","status":"publish","type":"page","link":"https:\/\/francestat.com\/index.php\/uniwin-ell\/","title":{"rendered":"Uniwin – ELL"},"content":{"rendered":"

[vc_row][vc_column]

<\/div>

UNIWIN - Ellipses de Tol\u00e9rance ou de Confiance<\/h2><\/div><\/div>[\/vc_column][\/vc_row][vc_row][vc_column][vc_empty_space][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text]Les Ellipses de Tol\u00e9rance ou de Confiance (ELL) permettent de visualiser des r\u00e9gions autour des centres de gravit\u00e9 de groupes d\u00e9finis par diff\u00e9rentes cat\u00e9gories sous l\u2019hypoth\u00e8se d\u2019une loi normale multivari\u00e9e.<\/p>\n

Consid\u00e9rons une variable qualitative r\u00e9alisant une partition de la population en k groupes. Sous l\u2019hypoth\u00e8se de multi-normalit\u00e9, les domaines de confiance repr\u00e9sent\u00e9s par des ellipses autour des k centres de gravit\u00e9 des groupes sont de trois types :<\/p>\n

\u2022 ellipses de tol\u00e9rance contenant en moyenne (1-alpha) % des observations de chaque groupe, o\u00f9 alpha d\u00e9signe le niveau de risque
\n\u2022 ellipses de confiance pour les centres de gravit\u00e9 des groupes en consid\u00e9rant une population de taille infinie (tirage avec remise) au niveau de risque alpha
\n\u2022 ellipses de confiance avec coefficient d\u2019exhaustivit\u00e9 pour les centres de gravit\u00e9 des groupes en consid\u00e9rant une population finie (tirage sans remise) au niveau de risque alpha.\u00a0Pour l\u2019\u00e9tude de points suppl\u00e9mentaires en analyse factorielle, prendre pour taille de la population, le nombre d\u2019individus du tableau analys\u00e9.<\/p>\n

Des graphiques permettent de visualiser les diff\u00e9rentes ellipses, les centres de gravit\u00e9, les codes des points et les num\u00e9ros des points.[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_single_image image=\u00a0\u00bb6392″ img_size=\u00a0\u00bblarge\u00a0\u00bb alignment=\u00a0\u00bbcenter\u00a0\u00bb][\/vc_column][\/vc_row][vc_row][vc_column][vc_empty_space height=\u00a0\u00bb5px\u00a0\u00bb][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text]<\/p>\n

Tableaux<\/u><\/span><\/strong><\/p>\n

Statistiques descriptives des groupes<\/p>\n\n\n<\/colgroup>\n<\/table>\n

Graphiques<\/u><\/span><\/strong><\/p>\n

Ellipses de tol\u00e9rance ou de confiance<\/p>\n

\n\n<\/colgroup>\n<\/table>\n

[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_empty_space height=\u00a0\u00bb5px\u00a0\u00bb][\/vc_column][\/vc_row][vc_row][vc_column][vc_btn title=\u00a0\u00bbConsulter la documentation compl\u00e8te\u00a0\u00bb align=\u00a0\u00bbcenter\u00a0\u00bb link=\u00a0\u00bburl:https%3A%2F%2Ffrancestat.com%2Ftelecharg%2FUniwin%2Fpdf%2FEllipses%2520de%2520tol%25e9rance%2520ou%2520de%2520confiance.pdf|title:UNIWIN%20-%20ELL\u00a0\u00bb][\/vc_column][\/vc_row]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"

[vc_row][vc_column][\/vc_column][\/vc_row][vc_row][vc_column][vc_empty_space][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text]Les Ellipses de Tol\u00e9rance ou de Confiance (ELL) permettent de visualiser des r\u00e9gions autour des centres de gravit\u00e9 de groupes d\u00e9finis par diff\u00e9rentes cat\u00e9gories sous l\u2019hypoth\u00e8se d\u2019une loi normale multivari\u00e9e. Consid\u00e9rons une variable qualitative r\u00e9alisant une partition de la population en k groupes. Sous l\u2019hypoth\u00e8se de multi-normalit\u00e9, les domaines de confiance repr\u00e9sent\u00e9s par des ellipses…<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-5814","page","type-page","status-publish","hentry","description-off"],"yoast_head":"\nUniwin - ELL - FRANCESTAT<\/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:\/\/francestat.com\/index.php\/uniwin-ell\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Uniwin - ELL - FRANCESTAT\" \/>\n<meta property=\"og:description\" content=\"[vc_row][vc_column][\/vc_column][\/vc_row][vc_row][vc_column][vc_empty_space][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text]Les Ellipses de Tol\u00e9rance ou de Confiance (ELL) permettent de visualiser des r\u00e9gions autour des centres de gravit\u00e9 de groupes d\u00e9finis par diff\u00e9rentes cat\u00e9gories sous l\u2019hypoth\u00e8se d\u2019une loi normale multivari\u00e9e. Consid\u00e9rons une variable qualitative r\u00e9alisant une partition de la population en k groupes. Sous l\u2019hypoth\u00e8se de multi-normalit\u00e9, les domaines de confiance repr\u00e9sent\u00e9s par des ellipses…\" \/>\n<meta property=\"og:url\" content=\"https:\/\/francestat.com\/index.php\/uniwin-ell\/\" \/>\n<meta property=\"og:site_name\" content=\"FRANCESTAT\" \/>\n<meta property=\"article:modified_time\" content=\"2024-07-11T09:39:14+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/francestat.com\\\/index.php\\\/uniwin-ell\\\/\",\"url\":\"https:\\\/\\\/francestat.com\\\/index.php\\\/uniwin-ell\\\/\",\"name\":\"Uniwin - ELL - FRANCESTAT\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/francestat.com\\\/#website\"},\"datePublished\":\"2023-09-04T09:16:30+00:00\",\"dateModified\":\"2024-07-11T09:39:14+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/francestat.com\\\/index.php\\\/uniwin-ell\\\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/francestat.com\\\/index.php\\\/uniwin-ell\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/francestat.com\\\/index.php\\\/uniwin-ell\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\\\/\\\/francestat.com\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Uniwin – ELL\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/francestat.com\\\/#website\",\"url\":\"https:\\\/\\\/francestat.com\\\/\",\"name\":\"FRANCESTAT\",\"description\":\"Logiciels, formations et services statistiques\",\"publisher\":{\"@id\":\"https:\\\/\\\/francestat.com\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/francestat.com\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/francestat.com\\\/#organization\",\"name\":\"FRANCESTAT\",\"url\":\"https:\\\/\\\/francestat.com\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\\\/\\\/francestat.com\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/francestat.com\\\/wp-content\\\/uploads\\\/2018\\\/05\\\/logo_horizontal_small_francestat.jpg\",\"contentUrl\":\"https:\\\/\\\/francestat.com\\\/wp-content\\\/uploads\\\/2018\\\/05\\\/logo_horizontal_small_francestat.jpg\",\"width\":155,\"height\":51,\"caption\":\"FRANCESTAT\"},\"image\":{\"@id\":\"https:\\\/\\\/francestat.com\\\/#\\\/schema\\\/logo\\\/image\\\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Uniwin - ELL - FRANCESTAT","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/francestat.com\/index.php\/uniwin-ell\/","og_locale":"fr_FR","og_type":"article","og_title":"Uniwin - ELL - FRANCESTAT","og_description":"[vc_row][vc_column][\/vc_column][\/vc_row][vc_row][vc_column][vc_empty_space][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text]Les Ellipses de Tol\u00e9rance ou de Confiance (ELL) permettent de visualiser des r\u00e9gions autour des centres de gravit\u00e9 de groupes d\u00e9finis par diff\u00e9rentes cat\u00e9gories sous l\u2019hypoth\u00e8se d\u2019une loi normale multivari\u00e9e. 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