{"id":6841,"date":"2025-06-10T15:45:30","date_gmt":"2025-06-10T13:45:30","guid":{"rendered":"https:\/\/francestat.com\/?page_id=6841"},"modified":"2025-06-10T16:09:58","modified_gmt":"2025-06-10T14:09:58","slug":"uniwin-acpf","status":"publish","type":"page","link":"https:\/\/francestat.com\/index.php\/uniwin-acpf\/","title":{"rendered":"UNIWIN – ACPF"},"content":{"rendered":"

[vc_row][vc_column]

<\/div>

UNIWIN - Analyse en Composantes Principales Fonctionnelle<\/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]L’analyse en composantes principales fonctionnelle (ACPF) est une extension de l’analyse en composantes principales classique adapt\u00e9e aux donn\u00e9es fonctionnelles. Elle permet d’analyser des donn\u00e9es qui repr\u00e9sentent des fonctions ou des courbes plut\u00f4t que de simples vecteurs de valeurs discr\u00e8tes.<\/p>\n

L’ACPF cherche \u00e0 d\u00e9composer des fonctions al\u00e9atoires en une somme de fonctions d\u00e9terministes (les composantes principales fonctionnelles) multipli\u00e9es par des coefficients al\u00e9atoires.<\/p>\n

L’ACPF est particuli\u00e8rement utile pour l’analyse de donn\u00e9es temporelles, spatiales ou spectrales o\u00f9 l’on souhaite capturer les variations continues dans les donn\u00e9es tout en r\u00e9duisant leur dimensionnalit\u00e9.<\/p>\n

Cette proc\u00e9dure est bas\u00e9e sur le package R \u2018fda\u2019.[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_single_image image=\u00a0\u00bb6850″ img_size=\u00a0\u00bblarge\u00a0\u00bb alignment=\u00a0\u00bbcenter\u00a0\u00bb][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\n\n<\/colgroup>\n\n\n\n\n\n\n\n
\n

Indices g\u00e9n\u00e9ralis\u00e9s de validation crois\u00e9e<\/p>\n<\/td>\n<\/tr>\n

\n

Erreurs quadratiques moyennes<\/p>\n<\/td>\n<\/tr>\n

Valeurs propres et inerties<\/td>\n<\/tr>\n
\n

Fonctions propres<\/p>\n<\/td>\n<\/tr>\n

\n

Effets des fonctions propres sur la fonction propre moyenne<\/p>\n<\/td>\n<\/tr>\n

\n

Scores des observations<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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

Donn\u00e9es observ\u00e9es<\/p>\n<\/td>\n<\/tr>\n

\n

Donn\u00e9es observ\u00e9es centr\u00e9es (si centrage)<\/p>\n<\/td>\n<\/tr>\n

\n

Base des splines cubiques ou des s\u00e9ries de Fourier<\/p>\n<\/td>\n<\/tr>\n

\n

Indices g\u00e9n\u00e9ralis\u00e9s de validation crois\u00e9e<\/p>\n<\/td>\n<\/tr>\n

\n

Erreurs quadratiques moyennes<\/p>\n<\/td>\n<\/tr>\n

\n

Donn\u00e9es estim\u00e9es<\/p>\n<\/td>\n<\/tr>\n

\n

R\u00e9sidus<\/p>\n<\/td>\n<\/tr>\n

\n

Moyennes des donn\u00e9es observ\u00e9es et estim\u00e9es<\/p>\n<\/td>\n<\/tr>\n

\n

Moyenne globale, observ\u00e9 et estim\u00e9 pour une observation<\/p>\n<\/td>\n<\/tr>\n

\n

Diagramme des inerties<\/p>\n<\/td>\n<\/tr>\n

\n

Fonctions propres<\/p>\n<\/td>\n<\/tr>\n

\n

Effets des fonctions propres<\/p>\n<\/td>\n<\/tr>\n

\n

Scores des observations<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

[\/vc_column_text][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:http%3A%2F%2Fwww.francestat.com%2Ftelecharg%2FUniwin%2Fpdf%2FAnalyse%20en%20composantes%20principales%20fonctionnelle.pdf|title:UNIWIN%20-%20ACPF\u00a0\u00bb][\/vc_column][\/vc_row]<\/p>\n","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]L’analyse en composantes principales fonctionnelle (ACPF) est une extension de l’analyse en composantes principales classique adapt\u00e9e aux donn\u00e9es fonctionnelles. Elle permet d’analyser des donn\u00e9es qui repr\u00e9sentent des fonctions ou des courbes plut\u00f4t que de simples vecteurs de valeurs discr\u00e8tes. L’ACPF cherche \u00e0 d\u00e9composer des fonctions al\u00e9atoires en une somme de fonctions d\u00e9terministes (les composantes principales…<\/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-6841","page","type-page","status-publish","hentry","description-off"],"yoast_head":"\nUNIWIN - ACPF - 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-acpf\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"UNIWIN - ACPF - 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]L’analyse en composantes principales fonctionnelle (ACPF) est une extension de l’analyse en composantes principales classique adapt\u00e9e aux donn\u00e9es fonctionnelles. Elle permet d’analyser des donn\u00e9es qui repr\u00e9sentent des fonctions ou des courbes plut\u00f4t que de simples vecteurs de valeurs discr\u00e8tes. L’ACPF cherche \u00e0 d\u00e9composer des fonctions al\u00e9atoires en une somme de fonctions d\u00e9terministes (les composantes principales…\" \/>\n<meta property=\"og:url\" content=\"https:\/\/francestat.com\/index.php\/uniwin-acpf\/\" \/>\n<meta property=\"og:site_name\" content=\"FRANCESTAT\" \/>\n<meta property=\"article:modified_time\" content=\"2025-06-10T14:09:58+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-acpf\\\/\",\"url\":\"https:\\\/\\\/francestat.com\\\/index.php\\\/uniwin-acpf\\\/\",\"name\":\"UNIWIN - ACPF - FRANCESTAT\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/francestat.com\\\/#website\"},\"datePublished\":\"2025-06-10T13:45:30+00:00\",\"dateModified\":\"2025-06-10T14:09:58+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/francestat.com\\\/index.php\\\/uniwin-acpf\\\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/francestat.com\\\/index.php\\\/uniwin-acpf\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/francestat.com\\\/index.php\\\/uniwin-acpf\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\\\/\\\/francestat.com\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"UNIWIN – ACPF\"}]},{\"@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 - ACPF - 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-acpf\/","og_locale":"fr_FR","og_type":"article","og_title":"UNIWIN - ACPF - 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]L’analyse en composantes principales fonctionnelle (ACPF) est une extension de l’analyse en composantes principales classique adapt\u00e9e aux donn\u00e9es fonctionnelles. 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