{"id":6412,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/beta-inverse-n\/"},"modified":"2021-02-26T08:02:24","modified_gmt":"2021-02-26T08:02:24","slug":"beta-inv","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/beta-inv\/","title":{"rendered":"BETA.INVERSE.N"},"content":{"rendered":"

Description de la fonction<\/h2>\n

La fonction BETA.INV, \u00e9galement d\u00e9sign\u00e9e sous le nom de BETA.INVERSE.N dans certaines versions de Microsoft Excel, est utilis\u00e9e pour calculer l’inverse de la distribution b\u00eata cumulative. Cette fonction trouve ses applications dans les analyses statistiques pour estimer des probabilit\u00e9s ou des intervalles sp\u00e9cifiques dans le cadre d’une distribution b\u00eata. Elle se r\u00e9v\u00e8le particuli\u00e8rement utile dans le domaine de la gestion de projet, l’\u00e9conom\u00e9trie, la recherche op\u00e9rationnelle, ainsi que dans l’analyse des r\u00e9sultats exp\u00e9rimentaux.<\/p>\n

Syntaxe et exemples<\/h2>\n

La syntaxe de la fonction est :<\/p>\n

=BETA.INV(probabilit\u00e9, alpha, beta, [A], [B])<\/code><\/pre>\n
    \n
  • probabilit\u00e9<\/strong> : Correspond \u00e0 la probabilit\u00e9 associ\u00e9e \u00e0 l’inverse de la distribution b\u00eata.<\/li>\n
  • alpha<\/strong> : Param\u00e8tre alpha de la distribution, qui doit \u00eatre strictement positif.<\/li>\n
  • beta<\/strong> : Param\u00e8tre b\u00eata de la distribution, \u00e9galement requis positif.<\/li>\n
  • [A]<\/strong> : Borne inf\u00e9rieure de l’intervalle de valeurs, avec une valeur par d\u00e9faut \u00e9tablie \u00e0 0.<\/li>\n
  • [B]<\/strong> : Borne sup\u00e9rieure de l’intervalle de valeurs, avec une valeur par d\u00e9faut fix\u00e9e \u00e0 1.<\/li>\n<\/ul>\n
    Voici quelques exemples d’utilisation :<\/p>\n\n\n\n\n
    Formule<\/th>\nR\u00e9sultat<\/th>\nDescription<\/th>\n<\/tr>\n
    =BETA.INV(0.5, 2, 2)<\/code><\/td>\n0.5<\/td>\nCalcule la m\u00e9diane de la distribution b\u00eata avec alpha=2 et beta=2.<\/td>\n<\/tr>\n
    =BETA.INV(0.3, 2, 5, 0, 1)<\/code><\/td>\n0.28<\/td>\nCalcule le 30\u00e8me percentile d’une distribution b\u00eata avec alpha=2, beta=5.<\/td>\n<\/tr>\n<\/table>\n
    Applications pratiques<\/h2>\n
    Pour illustrer l’utilisation de la BETA.INV dans des scenarios pratiques, consid\u00e9rons deux cas :<\/p>\n
    Scenario 1: \u00c9valuation des d\u00e9lais de projets<\/h2>\n
    Dans la gestion de projet, la dur\u00e9e n\u00e9cessaire pour achever une phase peut \u00eatre incertaine et est souvent mod\u00e9lis\u00e9e par une distribution b\u00eata. Pour une phase donn\u00e9e, les param\u00e8tres pourraient \u00eatre alpha=4 et beta=2, bas\u00e9s sur les phases ant\u00e9rieures.<\/p>\n
    =BETA.INV(0.8, 4, 2, 10, 70)<\/code><\/pre>\n
    Interpr\u00e9tation:<\/strong> Cette formule nous fournit le 80\u00e8me percentile de l’estimation de la dur\u00e9e, indiquant le d\u00e9lai maximal observ\u00e9 dans 80% des cas, ici calcul\u00e9 pour \u00eatre entre 10 et 70 jours. Cette information est cruciale pour \u00e9tablir des d\u00e9lais de planification r\u00e9alistes.<\/p>\n
    Scenario 2: Analyse de la satisfaction client<\/h2>\n
    Une entreprise d\u00e9sirant \u00e9valuer la satisfaction client\u00e8le utilise un scoring de 0 \u00e0 10. Une \u00e9tude pr\u00e9liminaire sugg\u00e8re un mod\u00e8le de distribution b\u00eata avec alpha=5 et beta=3 pour \u00e9valuer le score moyen.<\/p>\n
    =BETA.INV(0.5, 5, 3, 0, 10)<\/code><\/pre>\n
    Interpr\u00e9tation:<\/strong> Cette commande calcule la m\u00e9diane, ou le 50e percentile des scores de satisfaction, fournissant un aper\u00e7u du niveau de satisfaction moyen per\u00e7u par la majorit\u00e9 des clients. Un score m\u00e9dian bas pourrait indiquer le besoin d’am\u00e9liorer le service.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Renvoie l\u2019inveRse de la fonction de distRibution cumul\u00e9e pouR une distRibution b\u00eata sp\u00e9cifi\u00e9e<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[315],"tags":[],"class_list":["post-6412","post","type-post","status-publish","format-standard","hentry","category-statistiques"],"acf":[],"yoast_head":"\nFonction BETA.INV (BETA.INVERSE.N) dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction BETA.INV (BETA.INVERSE.N) d\u2019Excel et Google Sheets. 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