{"id":4484,"date":"2026-07-29T17:01:13","date_gmt":"2026-07-29T15:01:13","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=guide-dutilisateur&#038;p=4484"},"modified":"2026-07-30T10:32:38","modified_gmt":"2026-07-30T08:32:38","slug":"statistica-t%c2%b2-di-hotelling","status":"publish","type":"guide-dutilisateur","link":"https:\/\/ellistat.com\/it\/guide-dutilisateur\/statistique-t%c2%b2-de-hotelling\/","title":{"rendered":"Statistica T\u00b2 di Hotelling"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Il T\u00b2 risponde a una questione di gestione:&nbsp;<strong>Questo pezzo \u00e8 conforme, considerando tutte le caratteristiche nel loro insieme?<\/strong>Un pezzo pu\u00f2 rientrare nei limiti di tolleranza per ciascuna quota e risultare comunque atipico per la combinazione di tali quote: \u00e8 proprio questo che sfugge al controllo quota per quota.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Il T\u00b2 misura la distanza di ciascun individuo dal centro della nuvola, tenendo conto delle correlazioni tra le caratteristiche (distanza di Mahalanobis). Il grafico assomiglia a una carta di controllo: un valore, un limite.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Zona 1<\/strong>&nbsp;: le opzioni.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"964\" height=\"564\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/image4-1.png\" alt=\"\" class=\"wp-image-4485\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/image4-1.png 964w, https:\/\/ellistat.com\/wp-content\/uploads\/image4-1-300x176.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/image4-1-768x449.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/image4-1-18x12.png 18w\" sizes=\"auto, (max-width: 964px) 100vw, 964px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2&nbsp;<strong>Apprendimento di \/ a<\/strong>&nbsp;: le linee che servono a stabilire il riferimento (media e matrice di covarianza). Le altre vengono confrontate con tale riferimento; ;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2&nbsp;<strong>Tipo T2<\/strong>&nbsp;: il metodo di calcolo del limite \u2014 Sullivan, Classico o Chi2; ;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2&nbsp;<strong>rischio alfa<\/strong>&nbsp;: il rischio di un falso allarme; ;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2&nbsp;<strong>Limite fisso<\/strong>&nbsp;: impone un limite anzich\u00e9 ricalcolarlo; ;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2&nbsp;<strong>Eliminare i valori anomali<\/strong>&nbsp;e&nbsp;<strong>Eliminare i valori al di fuori di T\u00b2<\/strong>&nbsp;: ripuliscono il campione di addestramento, in modo che il riferimento non venga stabilito sulla base di punti atipici; ;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2&nbsp;<strong>Cerca gruppi<\/strong>&nbsp;: individua i punti fuori limite vicini tra loro e li colora per gruppi. I punti che si discostano allo stesso modo indicano una causa comune; ;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2&nbsp;<strong>Scala logaritmica<\/strong>&nbsp;: leggibile quando un punto prevale su tutti gli altri.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Zona 2<\/strong>&nbsp;: la nuvola associata.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"642\" height=\"564\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/image5-1.png\" alt=\"\" class=\"wp-image-4486\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/image5-1.png 642w, https:\/\/ellistat.com\/wp-content\/uploads\/image5-1-300x264.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/image5-1-14x12.png 14w\" sizes=\"auto, (max-width: 642px) 100vw, 642px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 Con&nbsp;<strong>2 variabili<\/strong>, mostra le persone e l\u2019<strong>ellisse di confidenza<\/strong>&nbsp;: il confine di conformit\u00e0 multivariata. \u00c8 la rappresentazione pi\u00f9 eloquente; ;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2 Con&nbsp;<strong>3 variabili<\/strong>, la nuvola in tre dimensioni; ;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u21d2&nbsp;<strong>Pi\u00f9 di 3 variabili<\/strong>, i dati sono proiettati sul piano fattoriale dell\u2019ACP, l\u2019unica rappresentazione possibile.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udca1 Un T\u00b2 che risulta fuori tolleranza senza che nessuna caratteristica sia fuori tolleranza \u00e8 un caso interessante: la combinazione \u00e8 cambiata. Passare all\u2019ACP per vedere quale legame si \u00e8 modificato.<\/p>","protected":false},"featured_media":0,"menu_order":70,"template":"","meta":{"_acf_changed":true},"menu-guide-dutilisateur":[40],"class_list":["post-4484","guide-dutilisateur","type-guide-dutilisateur","status-publish","hentry","menu-guide-dutilisateur-6-statistiques-multivariees"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Statistique T\u00b2 de Hotelling - Ellistat<\/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:\/\/ellistat.com\/it\/guida-per-lutente\/statistica-t\u00b2-di-hotelling\/\" \/>\n<meta property=\"og:locale\" content=\"it_IT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Statistique T\u00b2 de Hotelling - Ellistat\" \/>\n<meta property=\"og:description\" content=\"Le T\u00b2 r\u00e9pond \u00e0 une question de pilotage :&nbsp;cette pi\u00e8ce est-elle conforme, toutes caract\u00e9ristiques prises ensemble ?Une pi\u00e8ce peut \u00eatre dans la tol\u00e9rance sur chaque cote et rester atypique par leur combinaison \u2014 c&rsquo;est pr\u00e9cis\u00e9ment ce que la surveillance cote par cote laisse passer. 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