{"id":2877,"date":"2024-10-24T17:16:04","date_gmt":"2024-10-24T15:16:04","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=ressource-pedagogiqu&#038;p=2877"},"modified":"2024-10-24T17:16:09","modified_gmt":"2024-10-24T15:16:09","slug":"nem-normalis-eloszlas","status":"publish","type":"ressource-pedagogiqu","link":"https:\/\/ellistat.com\/hu\/ressource-pedagogiqu\/loi-non-normale\/","title":{"rendered":"Nem norm\u00e1lis t\u00f6rv\u00e9ny"},"content":{"rendered":"<p>A k\u00f6zponti hat\u00e1r\u00e9rt\u00e9kt\u00e9tel szerint :\u00a0<\/p>\n\n\n\n<p class=\"has-text-align-center has-very-light-gray-background-color has-background\">B\u00e1rmely rendszer, amely sok, egym\u00e1st\u00f3l f\u00fcggetlen \u00e9s azonos nagys\u00e1grend\u0171 t\u00e9nyez\u0151 \u00f6sszeg\u00e9b\u0151l ad\u00f3dik, olyan eloszl\u00e1si t\u00f6rv\u00e9nyt hoz l\u00e9tre, amely a norm\u00e1lis eloszl\u00e1s fel\u00e9 tend\u00e1l.&nbsp;<\/p>\n\n\n\n<p>De ellenkez\u0151leg is gondolkodhatunk. Ha olyan eloszl\u00e1st figyel\u00fcnk meg, amely nem norm\u00e1lis, akkor a t\u00e9tel egyik hipot\u00e9zise nem \u00e9rv\u00e9nyes:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1. eset: a rendszer nem sok t\u00e9nyez\u0151 \u00f6sszege: lehet sok t\u00e9nyez\u0151 vagy m\u00e1s t\u00e9nyez\u0151 szorzata. Ebben az esetben az eloszl\u00e1si t\u00f6rv\u00e9ny elt\u00e9r\u0151 lehet, \u00e9s \u00e1ltal\u00e1ban egy transzform\u00e1ci\u00f3 (p\u00e9ld\u00e1ul az eredm\u00e9ny logaritmus\u00e1nak felv\u00e9tele) vissza\u00e1ll\u00edtja a norm\u00e1lis eloszl\u00e1st.\u00a0<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2. eset: A t\u00e9nyez\u0151k nem f\u00fcggetlenek egym\u00e1st\u00f3l\u00a0<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3. eset: A t\u00e9nyez\u0151k nem azonos nagys\u00e1grend\u0171ek :\u00a0<\/li>\n<\/ul>\n\n\n\n<p>Egy t\u00e9nyez\u0151 fel\u00fclm\u00falja a t\u00f6bbit. Ebben az esetben meg kell tal\u00e1lnunk a sz\u00f3ban forg\u00f3 t\u00e9nyez\u0151t, mert egyed\u00fcl ez gener\u00e1lja a v\u00e1ltoz\u00e9konys\u00e1g egyik f\u0151 forr\u00e1s\u00e1t.&nbsp;<\/p>\n\n\n\n<p>Egy kiugr\u00f3 szennyezi az eloszl\u00e1st. Ebben az esetben meg kell tal\u00e1lnunk a kiugr\u00f3 \u00e9rt\u00e9k ok\u00e1t, \u00e9s ki kell k\u00fcsz\u00f6b\u00f6ln\u00fcnk, ha az ok megmagyar\u00e1zhat\u00f3.&nbsp;<\/p>\n\n\n\n<p>Ebben a k\u00e9t esetben nem sz\u00fcks\u00e9ges a megfigyelt v\u00e1ltoz\u00e9konys\u00e1gnak megfelel\u0151 eloszl\u00e1si t\u00f6rv\u00e9nyt tal\u00e1lni. Val\u00f3j\u00e1ban ez az eloszl\u00e1si t\u00f6rv\u00e9ny nem lesz id\u0151vel megism\u00e9telhet\u0151, mivel egyetlen param\u00e9terre vezethet\u0151 vissza, \u00edgy nem rendelkezik el\u0151rejelz\u0151 tulajdons\u00e1gokkal.&nbsp;<\/p>\n\n\n\n<p>Ha a nemnormalit\u00e1s eredete az 1. esetre vezethet\u0151 vissza, meg kell tal\u00e1lnunk a megfelel\u0151 eloszl\u00e1si t\u00f6rv\u00e9nyt, k\u00fcl\u00f6n\u00f6sen akkor, ha a t\u0171r\u00e9shat\u00e1ron k\u00edv\u00fcli \u00e9rt\u00e9kek sz\u00e1zal\u00e9kos ar\u00e1ny\u00e1t akarjuk megj\u00f3solni. Ehhez olyan szoftvereket haszn\u00e1lhatunk, mint p\u00e9ld\u00e1ul a <a href=\"https:\/\/ellistat.com\/hu\/adatelemzesi-megoldasok\/\">Adatelemz\u00e9si modul<\/a> Ellistat, \u00e9s ellen\u0151rizze a javasolt eloszl\u00e1sokat az ablak alj\u00e1n, hogy az egyik eloszl\u00e1s j\u00f3l t\u00fckr\u00f6zi-e a megfigyelt adatokat.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"_acf_changed":false},"menu-ressource-pedagogique":[],"class_list":["post-2877","ressource-pedagogiqu","type-ressource-pedagogiqu","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Loi non-normale - Ellistat<\/title>\n<meta name=\"description\" content=\"Si l\u2019on observe une loi non-normale alors l\u2019une des hypoth\u00e8ses du th\u00e9or\u00e8me central limite n\u2019est pas valide.\" \/>\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\/oktatasi-forras\/nem-normalis-eloszlas\/\" \/>\n<meta property=\"og:locale\" content=\"hu_HU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Loi non-normale - 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