{"id":4626,"date":"2026-08-12T15:44:37","date_gmt":"2026-08-12T13:44:37","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=guide-dutilisateur&#038;p=4626"},"modified":"2026-08-12T15:44:37","modified_gmt":"2026-08-12T13:44:37","slug":"reszlet","status":"publish","type":"guide-dutilisateur","link":"https:\/\/ellistat.com\/hu\/guide-dutilisateur\/detail\/","title":{"rendered":"R\u00e9szletek"},"content":{"rendered":"<h2 class=\"wp-block-heading\">1. A jellemz\u0151k t\u00e1bl\u00e1zata<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A k\u00e9perny\u0151 tetej\u00e9n egy t\u00e1bl\u00e1zat foglalja \u00f6ssze az egyes jellemz\u0151k meghat\u00e1roz\u00f3 elemeit. A f\u0151 oszlopok:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>n\u00e9v\u00a0<\/strong>: a v\u00e1ltoz\u00f3 azonos\u00edt\u00f3ja; ;<\/li>\n\n\n\n<li><strong>sigma<\/strong>\u00a0\u00e9s\u00a0<strong>r\u00f6vid t\u00e1von<\/strong>\u00a0: a k\u00e9t eloszl\u00e1s; ;<\/li>\n\n\n\n<li><strong>terjeszt\u00e9s<\/strong>\u00a0\u00e9s\u00a0<strong>jogszab\u00e1lyi megfelel\u00e9s<\/strong>\u00a0: a t\u00f6rv\u00e9ny m\u00f3dos\u00edt\u00e1sa \u00e9s a m\u00f3dos\u00edt\u00e1s min\u0151s\u00e9ge; ;<\/li>\n\n\n\n<li><strong>minim\u00e1lis \/ maxim\u00e1lis t\u0171r\u00e9shat\u00e1r<\/strong>,\u00a0<strong>LCI<\/strong>\u00a0\u00e9s\u00a0<strong>LCS<\/strong>\u00a0: a specifik\u00e1ci\u00f3s \u00e9s ellen\u0151rz\u00e9si hat\u00e1r\u00e9rt\u00e9kek; ;<\/li>\n\n\n\n<li><strong>c\u00e9lpont<\/strong>\u00a0\u00e9s\u00a0<strong>n\u00e9vleges<\/strong>\u00a0: a c\u00e9l\u00e9rt\u00e9k.<\/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 Az oszlop&nbsp;<strong>A t\u00f6rv\u00e9nynek val\u00f3 megfelel\u00e9s<\/strong>&nbsp;ez az els\u0151, amit meg kell vizsg\u00e1lni. Minden alkalmass\u00e1gi mutat\u00f3 egy eloszl\u00e1st felt\u00e9telez; ha az illeszt\u00e9s nem megfelel\u0151, a megjelen\u00edtett Cp- \u00e9s Cpk-\u00e9rt\u00e9kek \u00e9rtelmetlenek, \u00e9s eloszl\u00e1st kell v\u00e1ltoztatni, vagy az adatokat \u00e1talak\u00edtani.<\/p>\n<\/blockquote>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"644\" height=\"420\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/detail.png\" alt=\"\" class=\"wp-image-4627\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/detail.png 644w, https:\/\/ellistat.com\/wp-content\/uploads\/detail-300x196.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/detail-18x12.png 18w\" sizes=\"auto, (max-width: 644px) 100vw, 644px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">2. A grafikonok<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Hisztogram<\/strong>\u00a0: az eloszl\u00e1s alakja, a r\u00e1illesztett illesztett eloszl\u00e1ssal \u00e9s a t\u0171r\u00e9shat\u00e1rokkal egy\u00fctt. Egy pillant\u00e1sra l\u00e1that\u00f3 az eltol\u00f3d\u00e1s, a t\u00falzott sz\u00f3r\u00f3d\u00e1s, valamint a bimodalit\u00e1s, amely gyakran k\u00e9t popul\u00e1ci\u00f3, k\u00e9t g\u00e9p vagy k\u00e9t anyag-t\u00e9tel kevered\u00e9s\u00e9nek jele.<\/li>\n\n\n\n<li><strong>Henry-f\u00e9le egyenes<\/strong>\u00a0: a pontok egy vonalba rendez\u0151dnek, ha az eloszl\u00e1s megfelel\u0151. Ez egy \u00e9rz\u00e9kenyebb vizu\u00e1lis teszt, mint a hisztogram, f\u0151leg az eloszl\u00e1s sz\u00e9l\u00e9n, pontosan ott, ahol a nem megfelel\u0151s\u00e9gek jelentkeznek.<\/li>\n\n\n\n<li><strong>Ellen\u0151rz\u0151 t\u00e1bl\u00e1zat<\/strong>\u00a0: az id\u0151rend. Ez egy olyan k\u00e9rd\u00e9sre ad v\u00e1laszt, amelyet a hisztogram figyelmen k\u00edv\u00fcl hagy: vajon a folyamat\u00a0<strong>stabil<\/strong>\u00a0?<\/li>\n\n\n\n<li><strong>Hat\u00e1ly<\/strong>\u00a0: az egyes mint\u00e1kon bel\u00fcli sz\u00f3r\u00e1s az id\u0151 f\u00fcggv\u00e9ny\u00e9ben.<\/li>\n\n\n\n<li><strong>EWMA<\/strong>\u00a0: egy s\u00falyozott mozg\u00f3\u00e1tlag, amely a tart\u00f3s kis elt\u00e9r\u00e9sekre \u00e9rz\u00e9kenyebben reag\u00e1l, mint egy hagyom\u00e1nyos t\u00e9rk\u00e9p.<\/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\">\u26a0\ufe0f A hisztogram \u00e9s az ellen\u0151rz\u0151 diagram nem felcser\u00e9lhet\u0151k. Egy lassan elt\u00e9r\u0151 folyamat is nagyon elfogadhat\u00f3 hisztogramot eredm\u00e9nyezhet: a kezdeti \u00e9s a v\u00e9gs\u0151 m\u00e9r\u00e9sek \u00f6sszekeverednek, \u00e9s az eg\u00e9sz sz\u00e9lesnek, de k\u00f6z\u00e9pre igaz\u00edtottnak t\u0171nik. Csak az ellen\u0151rz\u0151 diagram t\u00e1rja fel az elt\u00e9r\u00e9st.<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">3. K\u00f6z\u00e9pre igaz\u00edt\u00e1s vagy c\u00e9lpontra igaz\u00edt\u00e1s<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A grafikonok k\u00e9t k\u00fcl\u00f6nb\u00f6z\u0151 rendszer szerint \u00e9rtelmezhet\u0151k, tetsz\u00e9s szerint:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u00a0<strong>K\u00f6z\u00e9pre igaz\u00edtva<\/strong>\u00a0: a hat\u00e1rokat a megfigyelt \u00e1tlag k\u00f6r\u00e9 hat\u00e1rozz\u00e1k meg. A\u00a0<strong>stabilit\u00e1s<\/strong>\u00a0: A folyamat tov\u00e1bbra is h\u0171 marad \u00f6nmag\u00e1hoz?<\/li>\n\n\n\n<li><strong>C\u00e9lk\u00f6zpont\u00fa<\/strong>\u00a0: a hat\u00e1rok a c\u00e9l\u00e9rt\u00e9k k\u00f6r\u00e9 \u00e9p\u00fclnek. A\u00a0<strong>megfelel\u00e9s<\/strong>\u00a0: A folyamat biztos\u00edtja-e a k\u00edv\u00e1nt eredm\u00e9nyt?<\/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 El\u0151fordulhat, hogy egy folyamat teljesen stabil, de rendszeresen elt\u00e9r a c\u00e9l\u00e9rt\u00e9kt\u0151l. \u00c1tlagos k\u00f6zpontos\u00edt\u00e1s eset\u00e9n \u00fagy t\u0171nik, mintha minden rendben lenne, c\u00e9l\u00e9rt\u00e9kre k\u00f6zpontos\u00edtva viszont kider\u00fcl az elt\u00e9r\u00e9s. Mindkett\u0151t \u00e9rdemes megvizsg\u00e1lni.<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">4. Az \u00e9szlel\u00e9si szab\u00e1lyok<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A puszta hat\u00e1r t\u00fall\u00e9p\u00e9sen t\u00fal, <a href=\"https:\/\/ellistat.com\/hu\/adatelemzesi-megoldasok\/\" data-type=\"page\" data-id=\"905\">Ellistat adatelemz\u00e9s<\/a> egy stabil folyamat felt\u00e9telez\u00e9se mellett val\u00f3sz\u00edn\u0171tlen konfigur\u00e1ci\u00f3kra utal:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><td><strong>Szab\u00e1ly<\/strong><\/td><td><strong>Mit \u00e9rz\u00e9kel<\/strong><\/td><\/tr><\/thead><tbody><tr><td><strong>Trend<\/strong><\/td><td>Felfel\u00e9 vagy lefel\u00e9 halad\u00f3 pontok sorozata: szersz\u00e1mkop\u00e1s, h\u0151hat\u00e1s miatti elt\u00e9r\u00e9s.<\/td><\/tr><tr><td><strong>Ugyanazon az oldalon<\/strong><\/td><td>Az \u00e1tlag ugyanazon oldal\u00e1n elhelyezked\u0151 pontok sorozata: a folyamat \u00faj szintre l\u00e9pett.<\/td><\/tr><tr><td><strong>A hat\u00e1rok k\u00f6zel\u00e9ben<\/strong><\/td><td>A hat\u00e1rok k\u00f6zel\u00e9ben tal\u00e1lhat\u00f3 pontozott ter\u00fcletek: alulbecs\u00fclt eloszl\u00e1s vagy popul\u00e1ci\u00f3k kevered\u00e9se.<\/td><\/tr><tr><td><strong>Oszcill\u00e1l\u00f3 mozg\u00e1s<\/strong><\/td><td>Rendszeres v\u00e1ltakoz\u00e1s: gyakran k\u00e9t forr\u00e1s v\u00e1ltakozik, k\u00e9t v\u00e1g\u00e1s, k\u00e9t oper\u00e1tor.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">A t\u00e1j\u00e9koz\u00f3d\u00e1si pont&nbsp;<strong>Riaszt\u00e1s<\/strong>&nbsp;kiemeli az \u00e9rintett pontokat.<\/p>\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 Ezek a szab\u00e1lyok fokozz\u00e1k az apr\u00f3 elt\u00e9r\u00e9sek ir\u00e1nti \u00e9rz\u00e9kenys\u00e9get, de mindegyik n\u00f6veli a t\u00e9ves riaszt\u00e1sok kock\u00e1zat\u00e1t. Egy m\u00e1r j\u00f3l k\u00e9zben tartott folyamat eset\u00e9ben, ha t\u00fal sokat aktiv\u00e1lunk k\u00f6z\u00fcl\u00fck, a rendszer feleslegesen jelzi a probl\u00e9m\u00e1t.<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">5. A k\u00e9pess\u00e9gek<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">N\u00e9gy mutat\u00f3, k\u00e9t kit\u00fcntet\u00e9s, amit \u00e9rdemes ismerni:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Cp \u00e9s Cpk<\/strong>\u00a0a diszperzi\u00f3t alkalmazz\u00e1k\u00a0<strong>r\u00f6vid t\u00e1von<\/strong>\u00a0: az a teljes\u00edtm\u00e9ny, amelyre az elj\u00e1r\u00e1s k\u00e9pes, ha stabil marad.<\/li>\n\n\n\n<li><strong>Pp \u00e9s Ppk<\/strong>\u00a0a diszperzi\u00f3t alkalmazz\u00e1k\u00a0<strong>\u00e1tfog\u00f3<\/strong>\u00a0: a t\u00e9nylegesen el\u00e9rt teljes\u00edtm\u00e9ny, bele\u00e9rtve az elt\u00e9r\u00e9seket is.<\/li>\n\n\n\n<li><strong>Cp \u00e9s Pp<\/strong>\u00a0nem veszik figyelembe a k\u00f6zpontos\u00edt\u00e1st; ;\u00a0<strong>Cpk \u00e9s Ppk<\/strong>\u00a0ezt figyelembe veszik.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">A n\u00e9gy elem \u00f6sszevet\u00e9se t\u00f6bbet mond, mint b\u00e1rmelyik\u00fck \u00f6nmag\u00e1ban:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><td><strong>Meg\u00e1llap\u00edt\u00e1s<\/strong><\/td><td><strong>\u00c9rtelmez\u00e9s<\/strong><\/td><\/tr><\/thead><tbody><tr><td>Magas Cp, alacsony Cpk<\/td><td>El\u00e9g pontos m\u00f3dszer, de&nbsp;<strong>k\u00f6z\u00e9pr\u0151l eltolva<\/strong>. Be\u00e1ll\u00edt\u00e1ssal orvosolhat\u00f3.<\/td><\/tr><tr><td>Cp \u2248 Cpk, mindkett\u0151 alacsony<\/td><td>Elj\u00e1r\u00e1s&nbsp;<strong>t\u00fal sz\u00e9tsz\u00f3rt<\/strong>. Alapvet\u0151 m\u0171szaki beavatkoz\u00e1st ig\u00e9nyel.<\/td><\/tr><tr><td>Magas Cp, alacsony Pp<\/td><td>Egy hat\u00e9kony elj\u00e1r\u00e1s, de&nbsp;<strong>instabil<\/strong>&nbsp;: elt\u00e9r a p\u00e1ly\u00e1j\u00e1t\u00f3l. Keress\u00fck meg az ok\u00e1t az id\u0151ben.<\/td><\/tr><tr><td>Cp \u2248 Pp<\/td><td>Stabil trend; a r\u00f6vid t\u00e1v\u00fa alakul\u00e1s t\u00fckr\u00f6zi a hossz\u00fa t\u00e1v\u00fat.<\/td><\/tr><\/tbody><\/table><\/figure>\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 \u00abmagas Cp, alacsony Pp\u00bb eset a leggyakoribb \u00e9s a leggyakrabban f\u00e9lre\u00e9rtett: technikailag nincs semmi baj, csup\u00e1n a folyamat ir\u00e1ny\u00edt\u00e1sa nem megfelel\u0151. Egy j\u00f3l vezetett ellen\u0151rz\u0151 t\u00e1bl\u00e1zat seg\u00edts\u00e9g\u00e9vel ez befektet\u00e9s n\u00e9lk\u00fcl is megoldhat\u00f3.<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">6. Az eloszl\u00e1selemz\u00e9s<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Rendk\u00edv\u00fcl \u00e1tfog\u00f3 eloszl\u00e1selemz\u00e9s \u00e1ll rendelkez\u00e9sre, bele\u00e9rtve az illeszked\u00e9si teszteket, a ferdes\u00e9g, a kurt\u00f3zis \u00e9s az entr\u00f3pia param\u00e9tereit, valamint a kiugr\u00f3 \u00e9rt\u00e9kek felismer\u00e9s\u00e9t\u2026 Kiv\u00e1laszthatjuk az eloszl\u00e1st; az \u201eIlleszked\u00e9s a t\u00f6rv\u00e9nyhez\u201d gombra kattintva megtekinthetj\u00fck az illeszked\u00e9si tesztek \u00f6sszefoglal\u00f3j\u00e1t.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"964\" height=\"340\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/statdescr.png\" alt=\"\" class=\"wp-image-4628\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/statdescr.png 964w, https:\/\/ellistat.com\/wp-content\/uploads\/statdescr-300x106.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/statdescr-768x271.png 768w, https:\/\/ellistat.com\/wp-content\/uploads\/statdescr-18x6.png 18w\" sizes=\"auto, (max-width: 964px) 100vw, 964px\" \/><\/figure>","protected":false},"featured_media":0,"menu_order":30,"template":"","meta":{"_acf_changed":true},"menu-guide-dutilisateur":[22],"class_list":["post-4626","guide-dutilisateur","type-guide-dutilisateur","status-publish","hentry","menu-guide-dutilisateur-4-statistiques-descriptives"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - 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