{"id":4554,"date":"2026-08-11T10:25:23","date_gmt":"2026-08-11T08:25:23","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=guide-dutilisateur&#038;p=4554"},"modified":"2026-08-11T10:25:23","modified_gmt":"2026-08-11T08:25:23","slug":"a-nepessegabrazolasok","status":"publish","type":"guide-dutilisateur","link":"https:\/\/ellistat.com\/hu\/guide-dutilisateur\/les-representations-de-population\/","title":{"rendered":"A n\u00e9pess\u00e9g\u00e1br\u00e1zol\u00e1sok"},"content":{"rendered":"<ul class=\"wp-block-list\">\n<li><strong>Hisztogram<\/strong>\u00a0: az eloszl\u00e1s alakja. Elcs\u00fasz\u00e1s, sz\u00f3r\u00f3d\u00e1s, bimodalit\u00e1s: a kett\u0151s cs\u00facs szinte mindig k\u00e9t popul\u00e1ci\u00f3 kevered\u00e9s\u00e9t jelzi.\u00a0<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"964\" height=\"786\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/histogramme.png\" alt=\"\" class=\"wp-image-4555\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/histogramme.png 964w, https:\/\/ellistat.com\/wp-content\/uploads\/histogramme-300x245.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/histogramme-768x626.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/histogramme-15x12.png 15w\" sizes=\"auto, (max-width: 964px) 100vw, 964px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Kiv\u00e1laszthatjuk, hogy az egyes hisztogramokn\u00e1l az X-tengely f\u00fcggetlen legyen-e, azonos legyen, vagy az \u00f6sszes hisztogram egym\u00e1sra legyen halmozva.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Bajuszdoboz<\/strong>\u00a0: a medi\u00e1n, a kvartilisek, a sz\u00f3r\u00e1s. Ez a\u00a0<strong>\u00f6sszehasonl\u00edt\u00e1s<\/strong>\u00a0: egym\u00e1s mellett elhelyezett t\u00f6bb mez\u0151 egy pillant\u00e1sra \u00e1ttekinthet\u0151, m\u00edg t\u00f6bb hisztogram egym\u00e1st zavarja.<\/li>\n\n\n\n<li><strong>Sor<\/strong>\u00a0: az \u00e9rt\u00e9kek a mintav\u00e9teli sorrendben. Az a kronol\u00f3gia, amelyet a hisztogram figyelmen k\u00edv\u00fcl hagy.<\/li>\n\n\n\n<li><strong>Ellen\u0151rz\u0151 t\u00e1bl\u00e1zat<\/strong>\u00a0: a vonal, az ellen\u0151rz\u00e9si hat\u00e1rokkal \u00e9s az \u00e9szlel\u00e9si szab\u00e1lyokkal egy\u00fctt.<\/li>\n\n\n\n<li><strong>Og\u00edvdiagram<\/strong>\u00a0: a kumulat\u00edv eloszl\u00e1s. K\u00f6zvetlen\u00fcl v\u00e1laszt ad arra a k\u00e9rd\u00e9sre, hogy \u00abmilyen ar\u00e1ny\u00fa a popul\u00e1ci\u00f3, amely egy adott \u00e9rt\u00e9k alatt van?\u00bb.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"964\" height=\"570\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/histogramme2.png\" alt=\"\" class=\"wp-image-4556\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/histogramme2.png 964w, https:\/\/ellistat.com\/wp-content\/uploads\/histogramme2-300x177.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/histogramme2-768x454.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/histogramme2-18x12.png 18w\" sizes=\"auto, (max-width: 964px) 100vw, 964px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Jobb, mint a jelenlegi<\/strong>\u00a0: 2 vagy t\u00f6bb vizsg\u00e1lati m\u00f3dszert nem param\u00e9teres m\u00f3don hasonl\u00edt \u00f6ssze<\/li>\n\n\n\n<li><strong>ROC-g\u00f6rbe<\/strong>\u00a0: felm\u00e9ri egy kvantitat\u00edv m\u00e9r\u0151sz\u00e1m k\u00e9t kateg\u00f3ria elk\u00fcl\u00f6n\u00edt\u00e9s\u00e9re val\u00f3 k\u00e9pess\u00e9g\u00e9t, \u00e9s megadja az optim\u00e1lis k\u00fcsz\u00f6b\u00e9rt\u00e9ket.<\/li>\n<\/ul>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\ud83d\udca1\u00a0<strong>A hisztogram \u00e9s a szarvasb\u0151r-diagram nem ugyanarra a k\u00e9rd\u00e9sre ad v\u00e1laszt.<\/strong>\u00a0A hisztogram egy popul\u00e1ci\u00f3t r\u00e9szletesen \u00e1br\u00e1zol; a dobozdiagram t\u00f6bb popul\u00e1ci\u00f3t hasonl\u00edt \u00f6ssze. K\u00e9t csoport eset\u00e9n kezdj\u00fck a dobozdiagramokkal, majd nyissuk meg a gyan\u00fas csoport hisztogramj\u00e1t.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u26a0\ufe0f\u00a0<strong>P\u00e1ros\u00edtott adatok.<\/strong>\u00a0Ha a k\u00e9t adatsor ugyanazon mint\u00e1k k\u00e9t m\u00e9r\u00e9si eredm\u00e9ny\u00e9t tartalmazza \u2013 a kezel\u00e9s el\u0151tt \u00e9s ut\u00e1n, k\u00e9t m\u0171szerrel ugyanazon mint\u00e1kon \u2013, ezt a \u00ab\u00d6sszehasonl\u00edt\u00e1s t\u00edpusa\u00bb rovatban jelezni kell. A p\u00e1ros\u00edtott teszt sokkal hat\u00e9konyabb, mert kik\u00fcsz\u00f6b\u00f6li a darabok k\u00f6z\u00f6tti variabilit\u00e1st. A p\u00e1ros\u00edtott adatok f\u00fcggetlenk\u00e9nt val\u00f3 kezel\u00e9se gyakran ahhoz a k\u00f6vetkeztet\u00e9shez vezet, hogy \u00abnincs k\u00fcl\u00f6nbs\u00e9g\u00bb, holott az egy\u00e9rtelm\u0171en fenn\u00e1ll.<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">A ROC-g\u00f6rbe a gyakorlatban<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"964\" height=\"654\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/courbeROC.png\" alt=\"\" class=\"wp-image-4557\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/courbeROC.png 964w, https:\/\/ellistat.com\/wp-content\/uploads\/courbeROC-300x204.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/courbeROC-768x521.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/courbeROC-18x12.png 18w\" sizes=\"auto, (max-width: 964px) 100vw, 964px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">A k\u00f6vetkez\u0151 k\u00e9rd\u00e9sre v\u00e1laszol: ez az int\u00e9zked\u00e9s lehet\u0151v\u00e9 teszi-e a d\u00f6nt\u00e9shozatalt?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"> P\u00e9ld\u00e1ul egy rezg\u00e9si \u00e9rt\u00e9k alapj\u00e1n meg lehet-e k\u00fcl\u00f6nb\u00f6ztetni a meghib\u00e1sodni fog\u00f3 csap\u00e1gyakat azokt\u00f3l, amelyek m\u00e9g kitartanak?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Min\u00e9l jobban elt\u00e9r a g\u00f6rbe az \u00e1tl\u00f3t\u00f3l a bal fels\u0151 sarok fel\u00e9, ann\u00e1l jobb az elv\u00e1laszt\u00e1s; ;<\/li>\n\n\n\n<li>A\u2019<strong>a g\u00f6rbe alatti ter\u00fclet (AUC)<\/strong>\u00a0ezt a hat\u00e1st egy sz\u00e1mmal foglalja \u00f6ssze: a 0,5 azt jelenti, hogy \u00abnem jobb, mint a v\u00e9letlen\u00bb, az 1 pedig a t\u00f6k\u00e9letes szepar\u00e1ci\u00f3t; ;<\/li>\n\n\n\n<li>A javasolt k\u00fcsz\u00f6b\u00e9rt\u00e9k egyens\u00falyt teremt a k\u00e9tf\u00e9le hiba k\u00f6z\u00f6tt: a hiba \u00e9szrev\u00e9tlens\u00e9ge \u00e9s a hib\u00e1tlan darab elutas\u00edt\u00e1sa k\u00f6z\u00f6tt.<\/li>\n<\/ul>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\ud83d\udca1 A megfelel\u0151 k\u00fcsz\u00f6b\u00e9rt\u00e9k a k\u00f6vetkez\u0151t\u0151l f\u00fcgg:&nbsp;<strong>k\u00f6lts\u00e9g<\/strong>&nbsp;a k\u00e9t hiba k\u00f6z\u00fcl, amely ritk\u00e1n szimmetrikus. A statisztikailag optim\u00e1lis k\u00fcsz\u00f6b\u00e9rt\u00e9k nem mindig egyezik meg a gazdas\u00e1gilag optim\u00e1lis k\u00fcsz\u00f6b\u00e9rt\u00e9kkel: \u00d6nnek kell azt tudatosan m\u00f3dos\u00edtania.<\/p>\n<\/blockquote>","protected":false},"featured_media":0,"menu_order":60,"template":"","meta":{"_acf_changed":true},"menu-guide-dutilisateur":[21],"class_list":["post-4554","guide-dutilisateur","type-guide-dutilisateur","status-publish","hentry","menu-guide-dutilisateur-3-graphiques"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Les repr\u00e9sentations de population - Ellistat<\/title>\n<meta name=\"description\" content=\"Histogramme, bo\u00eete \u00e0 moustache, carte de contr\u00f4le, courbe ROC : quelle repr\u00e9sentation choisir pour analyser une distribution de donn\u00e9es ?\" \/>\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\/hu\/hasznaloi-utmutato\/a-nepessegabrazolasok\/\" \/>\n<meta property=\"og:locale\" content=\"hu_HU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Les repr\u00e9sentations de population - 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