{"id":320,"date":"2023-08-02T14:52:18","date_gmt":"2023-08-02T14:52:18","guid":{"rendered":"https:\/\/statorials.org\/tr\/es-varyanslilik\/"},"modified":"2023-08-02T14:52:18","modified_gmt":"2023-08-02T14:52:18","slug":"es-varyanslilik","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/es-varyanslilik\/","title":{"rendered":"Homoskedastisite"},"content":{"rendered":"<p>Bu makale istatistikte e\u015f varyansl\u0131l\u0131\u011f\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece, homoskedastisitenin tan\u0131m\u0131n\u0131, homoskedastisiteye sahip olmayan bir regresyon modelinin nedenlerinin neler oldu\u011funu ve daha fazlas\u0131n\u0131, bunun nas\u0131l d\u00fczeltilece\u011fini bulacaks\u0131n\u0131z.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-homocedasticidad\"><\/span> Homoskedastisite nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Homoskedastisite,<\/strong> a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerdeki hatalar\u0131n sabit varyansa sahip oldu\u011fu bir regresyon modelinin bir \u00f6zelli\u011fidir. Yani bir regresyon modelinin hata varyans\u0131 sabit oldu\u011funda s\u00f6z konusu model e\u015fcinsel varyans sergiler ve dolay\u0131s\u0131yla e\u015f varyansl\u0131 bir modeldir.<\/p>\n<p> Hatan\u0131n (veya kal\u0131nt\u0131n\u0131n), ger\u00e7ek de\u011fer ile regresyon modeli taraf\u0131ndan tahmin edilen de\u011fer aras\u0131ndaki fark olarak tan\u0131mland\u0131\u011f\u0131n\u0131 unutmay\u0131n.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2028e64ca2c0035860e93c4bf244e2f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"e_i=y_i-\\widehat{y}_i\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"87\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Regresyon modelini \u00e7al\u0131\u015ft\u0131r\u0131rken her g\u00f6zlem i\u00e7in \u00f6nceki ifadeden farkl\u0131 bir de\u011fer elde edece\u011fiz. Bu nedenle, homoskedastik bir istatistiksel model, hesaplanan hatalar\u0131n varyans\u0131n\u0131n g\u00f6zlemler boyunca sabit oldu\u011fu bir modeldir. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/homoscedasticite-et-heteroscedasticite.png\" alt=\"Homoskedastisite ve heteroskedastisite\" class=\"wp-image-6840\" width=\"581\" height=\"226\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Bir regresyon modelinin e\u015f varyans sergilemesi \u00f6nemlidir; asl\u0131nda bu, regresyon modellerinin \u00f6nceki varsay\u0131mlar\u0131ndan biridir. Art\u0131klar e\u015f varyansl\u0131 de\u011filse, e\u015f varyans elde etmek i\u00e7in modeli ba\u015fka bir yolla yeniden yapmak daha iyidir. Aksi takdirde, <a href=\"https:\/\/statorials.org\/tr\/regresyon-katsayisi\/\">regresyon katsay\u0131lar\u0131n\u0131n<\/a> tahmininin hatal\u0131 olmas\u0131 muhtemeldir ve ger\u00e7ekte reddedilmesi gereken bo\u015f hipotezlerin kabul edilmesiyle de <a href=\"https:\/\/statorials.org\/tr\/hipotez-kontrasti\/\">hipotez testlerinde<\/a> hatalar meydana gelecektir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"causas-de-la-ausencia-de-homocedasticidad\"><\/span> Homoskedastisite eksikli\u011finin nedenleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir modelin e\u015f varyansl\u0131l\u0131\u011fa sahip olmamas\u0131n\u0131n en yayg\u0131n nedenleri \u015funlard\u0131r:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><a href=\"https:\/\/statorials.org\/tr\/istatistiksel-aralik\/\">Veri aral\u0131\u011f\u0131<\/a> ortalamaya g\u00f6re \u00e7ok geni\u015f oldu\u011funda. Ayn\u0131 istatistiksel \u00f6rnekte \u00e7ok b\u00fcy\u00fck de\u011ferler ve \u00e7ok k\u00fc\u00e7\u00fck de\u011ferler varsa elde edilen regresyon modelinin homoskedastik olmamas\u0131 muhtemeldir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Regresyon modelinde de\u011fi\u015fkenlerin g\u00f6z ard\u0131 edilmesi ayn\u0131 zamanda e\u015f varyans eksikli\u011fine de neden olur. Mant\u0131ksal olarak, e\u011fer ilgili bir de\u011fi\u015fken modele dahil edilmemi\u015fse, bu de\u011fi\u015fkenin de\u011fi\u015fimi art\u0131klara dahil edilecek ve mutlaka sabit olmayacakt\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Yap\u0131daki bir de\u011fi\u015fiklik, modelin veri setine zay\u0131f bir \u015fekilde uyum sa\u011flamas\u0131na neden olabilir ve bu nedenle art\u0131klar\u0131n varyans\u0131 sabit de\u011fildir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Baz\u0131 de\u011fi\u015fkenler di\u011fer a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerden \u00e7ok daha b\u00fcy\u00fck de\u011ferlere sahip oldu\u011funda, modelin e\u015f varyansl\u0131l\u0131\u011f\u0131 olmayabilir. Bu durumda problemin \u00e7\u00f6z\u00fcm\u00fc i\u00e7in de\u011fi\u015fkenler g\u00f6receli hale getirilebilir.<\/span><\/li>\n<\/ul>\n<p> Bununla birlikte, do\u011fas\u0131 gere\u011fi e\u015f varyansl\u0131l\u0131k olarak sunulmas\u0131 zor olan baz\u0131 durumlar da vard\u0131r. \u00d6rne\u011fin, bir ki\u015finin gelirini g\u0131da harcamalar\u0131na g\u00f6re modellersek, zengin insanlar\u0131n g\u0131da harcamalar\u0131nda fakir insanlara g\u00f6re \u00e7ok daha fazla de\u011fi\u015fkenlik oldu\u011funu g\u00f6r\u00fcr\u00fcz. \u00c7\u00fcnk\u00fc zengin bir ki\u015fi, her zaman ucuz restoranlarda yemek yiyen fakir bir insan\u0131n aksine, bazen pahal\u0131 restoranlarda, bazen de ucuz restoranlarda yemek yer. Bu nedenle regresyon modelinde e\u015f varyans elde etmek zordur. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"correccion-de-los-datos-para-obtener-homocedasticidad\"><\/span> E\u015f varyans elde etmek i\u00e7in verileri d\u00fczeltme<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Elde edilen regresyon modeli e\u015f varyansl\u0131 olmad\u0131\u011f\u0131nda, e\u015f varyans elde etmek i\u00e7in a\u015fa\u011f\u0131daki d\u00fczeltmeler denenebilir:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin do\u011fal logaritmas\u0131n\u0131 hesaplay\u0131n; bu genellikle grafikte art\u0131klar\u0131n varyans\u0131 artt\u0131\u011f\u0131nda kullan\u0131\u015fl\u0131d\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Art\u0131k grafi\u011fine ba\u011fl\u0131 olarak, ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin ba\u015fka bir d\u00f6n\u00fc\u015f\u00fcm t\u00fcr\u00fc daha pratik olabilir. \u00d6rne\u011fin grafik parabol \u015feklinde ise ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin karesini hesaplay\u0131p o de\u011fi\u015fkeni modele ekleyebiliriz.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Model i\u00e7in ba\u015fka de\u011fi\u015fkenler de kullan\u0131labilir; Bir de\u011fi\u015fkeni \u00e7\u0131kararak veya ekleyerek art\u0131klar\u0131n varyans\u0131 de\u011fi\u015ftirilebilir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">En k\u00fc\u00e7\u00fck kareler kriteri yerine a\u011f\u0131rl\u0131kl\u0131 en k\u00fc\u00e7\u00fck kareler kriteri kullan\u0131labilir.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"homocedasticidad-y-heterocedasticidad\"><\/span> Homoskedastisite ve heteroskedastisite<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Son olarak, regresyon modellerinin iki \u00f6nemli istatistiksel kavram\u0131 oldu\u011fundan, homoskedasticity ve heteroskedastisite aras\u0131ndaki fark\u0131n ne oldu\u011funu g\u00f6rece\u011fiz.<\/p>\n<p> <strong>De\u011fi\u015fken varyans<\/strong> , regresyon modelinin art\u0131klar\u0131n\u0131n sabit bir varyansa sahip olmad\u0131\u011f\u0131n\u0131, dolay\u0131s\u0131yla hatalar\u0131n de\u011fi\u015fkenli\u011finin \u00e7izim boyunca ayn\u0131 olmad\u0131\u011f\u0131n\u0131 ima eden istatistiksel bir \u00f6zelliktir.<\/p>\n<p> <strong>E\u015fvaryans ve heteroskedastisite aras\u0131ndaki fark,<\/strong> hata varyans\u0131n\u0131n sabitli\u011fidir. Homoskedastisite hata varyans\u0131n\u0131n sabit oldu\u011funu, heteroskedastisite ise hata varyans\u0131n\u0131n sabit olmad\u0131\u011f\u0131n\u0131 ifade eder. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/degisen-varyans\/\">De\u011fi\u015fken varyans<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale istatistikte e\u015f varyansl\u0131l\u0131\u011f\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece, homoskedastisitenin tan\u0131m\u0131n\u0131, homoskedastisiteye sahip olmayan bir regresyon modelinin nedenlerinin neler oldu\u011funu ve daha fazlas\u0131n\u0131, bunun nas\u0131l d\u00fczeltilece\u011fini bulacaks\u0131n\u0131z. Homoskedastisite nedir? Homoskedastisite, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerdeki hatalar\u0131n sabit varyansa sahip oldu\u011fu bir regresyon modelinin bir \u00f6zelli\u011fidir. Yani bir regresyon modelinin hata varyans\u0131 sabit oldu\u011funda s\u00f6z konusu model e\u015fcinsel varyans [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-320","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Homoskedastisite<\/title>\n<meta name=\"description\" content=\"Burada istatistikte e\u015f varyansl\u0131l\u0131\u011f\u0131n ne oldu\u011funu, e\u015f varyansl\u0131 olmayan bir regresyon modelinin nedenlerini ve bunun nas\u0131l d\u00fczeltilece\u011fini ke\u015ffedeceksiniz.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/es-varyanslilik\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Homoskedastisite\" \/>\n<meta property=\"og:description\" content=\"Burada istatistikte e\u015f varyansl\u0131l\u0131\u011f\u0131n ne oldu\u011funu, e\u015f varyansl\u0131 olmayan bir regresyon modelinin nedenlerini ve bunun nas\u0131l d\u00fczeltilece\u011fini ke\u015ffedeceksiniz.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/es-varyanslilik\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-02T14:52:18+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2028e64ca2c0035860e93c4bf244e2f1_l3.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/es-varyanslilik\/\",\"url\":\"https:\/\/statorials.org\/tr\/es-varyanslilik\/\",\"name\":\"\u25b7 Homoskedastisite\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-02T14:52:18+00:00\",\"dateModified\":\"2023-08-02T14:52:18+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Burada istatistikte e\u015f varyansl\u0131l\u0131\u011f\u0131n ne oldu\u011funu, e\u015f varyansl\u0131 olmayan bir regresyon modelinin nedenlerini ve bunun nas\u0131l d\u00fczeltilece\u011fini ke\u015ffedeceksiniz.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/es-varyanslilik\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/es-varyanslilik\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/es-varyanslilik\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Homoskedastisite\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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