{"id":451,"date":"2023-07-29T21:04:54","date_gmt":"2023-07-29T21:04:54","guid":{"rendered":"https:\/\/statorials.org\/tr\/degisen-varyans-regresyonu\/"},"modified":"2023-07-29T21:04:54","modified_gmt":"2023-07-29T21:04:54","slug":"degisen-varyans-regresyonu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/degisen-varyans-regresyonu\/","title":{"rendered":"Regresyon analizinde heteroskedastisiteyi anlamak"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Regresyon analizinde, <strong>heteroskedastisite<\/strong> (bazen heteroskedastisite olarak da yaz\u0131l\u0131r), art\u0131klar\u0131n veya hata terimlerinin e\u015fit olmayan da\u011f\u0131l\u0131m\u0131n\u0131 ifade eder. Daha do\u011frusu, \u00f6l\u00e7\u00fclen de\u011ferler aral\u0131\u011f\u0131 boyunca art\u0131klar\u0131n da\u011f\u0131l\u0131m\u0131nda sistematik bir de\u011fi\u015fikli\u011fin oldu\u011fu durum budur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Heteroskedasticity bir sorundur \u00e7\u00fcnk\u00fc s\u0131radan en k\u00fc\u00e7\u00fck kareler (OLS) regresyonu, art\u0131klar\u0131n, sabit varyans anlam\u0131na gelen <em>homoskedastisiteye<\/em> sahip bir pop\u00fclasyondan geldi\u011fini varsayar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir regresyon analizinde de\u011fi\u015fen varyans mevcut oldu\u011funda, analiz sonu\u00e7lar\u0131na inanmak zorla\u015f\u0131r. Spesifik olarak, heteroskedastisite, regresyon katsay\u0131s\u0131 tahminlerinin varyans\u0131n\u0131 artt\u0131r\u0131r, ancak regresyon modeli bunu hesaba katmaz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, ger\u00e7ekte \u00f6yle olmad\u0131\u011f\u0131 halde, bir regresyon modelinin, modeldeki bir terimin istatistiksel olarak anlaml\u0131 oldu\u011funu iddia etme olas\u0131l\u0131\u011f\u0131n\u0131 \u00e7ok daha art\u0131r\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde de\u011fi\u015fen varyans\u0131n nas\u0131l tespit edilece\u011fi<\/span> <span style=\"color: #000000;\">, de\u011fi\u015fen varyans\u0131n nedenleri ve de\u011fi\u015fen varyans problemini \u00e7\u00f6zmenin potansiyel yollar\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Heteroskedastisite nas\u0131l tespit edilir<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Heteroskedasticity&#8217;yi tespit etmenin en basit yolu <em>, uygun bir de\u011fer\/art\u0131k grafi\u011fi<\/em> kullanmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir veri k\u00fcmesine bir regresyon \u00e7izgisi yerle\u015ftirdikten sonra, modelin uydurulmu\u015f de\u011ferlerini, bu uydurulmu\u015f de\u011ferlerin art\u0131klar\u0131na kar\u015f\u0131 g\u00f6steren bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki da\u011f\u0131l\u0131m grafi\u011fi, de\u011fi\u015fen varyans\u0131n mevcut oldu\u011fu <em>art\u0131k de\u011fere kar\u015f\u0131 uygun de\u011ferin tipik bir grafi\u011fini<\/em> g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tak\u0131lan de\u011ferler artt\u0131k\u00e7a art\u0131klar\u0131n nas\u0131l daha fazla yay\u0131ld\u0131\u011f\u0131na dikkat edin. Bu &#8220;koni&#8221; \u015fekli de\u011fi\u015fen varyans\u0131n a\u00e7\u0131k bir i\u015faretidir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Heteroskedastisitenin nedenleri nelerdir?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">De\u011fi\u015fken varyans, geni\u015f bir yelpazede g\u00f6zlemlenen veri de\u011ferlerinin bulundu\u011fu veri setlerinde do\u011fal olarak meydana gelir. \u00d6rne\u011fin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Amerika Birle\u015fik Devletleri&#8217;nde 100.000 ki\u015finin y\u0131ll\u0131k gelir ve giderlerini i\u00e7eren bir veri setini d\u00fc\u015f\u00fcn\u00fcn. Daha d\u00fc\u015f\u00fck gelirli insanlar i\u00e7in, kar\u015f\u0131l\u0131k gelen harcamalar\u0131n de\u011fi\u015fkenli\u011fi daha d\u00fc\u015f\u00fck olacakt\u0131r \u00e7\u00fcnk\u00fc bu insanlar muhtemelen yaln\u0131zca temel ihtiya\u00e7lar\u0131 kar\u015f\u0131lamaya yetecek kadar paraya sahip olacaklard\u0131r. Daha y\u00fcksek gelire sahip bireyler i\u00e7in, e\u011fer isterlerse harcayacak daha fazla paraya sahip olacaklar\u0131 i\u00e7in ilgili harcamalarda daha fazla de\u011fi\u015fkenlik olacakt\u0131r. Daha y\u00fcksek gelire sahip baz\u0131 insanlar gelirlerinin \u00e7o\u011funu harcamay\u0131 tercih ederken, di\u011ferleri tutumlu olmay\u0131 ve yaln\u0131zca bir k\u0131sm\u0131n\u0131 harcamay\u0131 se\u00e7ecektir. Bu nedenle, bu y\u00fcksek gelirli bireyler aras\u0131ndaki harcama de\u011fi\u015fkenli\u011fi do\u011fas\u0131 gere\u011fi daha y\u00fcksek olacakt\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Amerika Birle\u015fik Devletleri&#8217;ndeki 1000 farkl\u0131 \u015fehirdeki \u00e7i\u00e7ek\u00e7ilerin n\u00fcfuslar\u0131n\u0131 ve say\u0131s\u0131n\u0131 i\u00e7eren bir veri k\u00fcmesini d\u00fc\u015f\u00fcn\u00fcn. Seyrek n\u00fcfuslu kasabalarda yaln\u0131zca bir veya iki \u00e7i\u00e7ek\u00e7inin bulunmas\u0131 yayg\u0131n olabilir. Ancak daha kalabal\u0131k \u015fehirlerde \u00e7i\u00e7ek\u00e7ilerin say\u0131s\u0131 \u00e7ok daha de\u011fi\u015fken olacakt\u0131r. Bu kasabalarda 10 ile 100 aras\u0131nda ma\u011faza bulunabilir. Bu, bir regresyon analizi olu\u015fturdu\u011fumuzda ve \u00e7i\u00e7ek\u00e7i say\u0131s\u0131n\u0131 tahmin etmek i\u00e7in n\u00fcfusu kulland\u0131\u011f\u0131m\u0131zda, daha kalabal\u0131k \u015fehirler i\u00e7in art\u0131klarda do\u011fas\u0131 gere\u011fi daha b\u00fcy\u00fck de\u011fi\u015fkenlik olaca\u011f\u0131 anlam\u0131na gelir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Baz\u0131 veri k\u00fcmeleri heteroskedasiteye di\u011ferlerine g\u00f6re daha yatk\u0131nd\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Heteroscedasticity Nas\u0131l Onar\u0131l\u0131r<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Heteroskedasticity&#8217;yi d\u00fczeltmenin \u00fc\u00e7 yayg\u0131n yolu vard\u0131r:<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">1. Ba\u011f\u0131ml\u0131 de\u011fi\u015fkeni d\u00f6n\u00fc\u015ft\u00fcr\u00fcn<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Heteroskedasticity&#8217;yi d\u00fczeltmenin bir yolu ba\u011f\u0131ml\u0131 de\u011fi\u015fkeni bir \u015fekilde d\u00f6n\u00fc\u015ft\u00fcrmektir. Yayg\u0131n bir d\u00f6n\u00fc\u015f\u00fcm, ba\u011f\u0131ml\u0131 de\u011fi\u015fkenin logunu almakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir \u015fehirdeki \u00e7i\u00e7ek\u00e7i say\u0131s\u0131n\u0131 (ba\u011f\u0131ml\u0131 de\u011fi\u015fken) tahmin etmek i\u00e7in n\u00fcfus b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fc (ba\u011f\u0131ms\u0131z de\u011fi\u015fken) kullan\u0131rsak, bunun yerine bir kasabadaki \u00e7i\u00e7ek\u00e7i say\u0131s\u0131n\u0131n logaritmas\u0131n\u0131 tahmin etmek i\u00e7in n\u00fcfus b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fc kullanmay\u0131 deneyebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Orijinal ba\u011f\u0131ml\u0131 de\u011fi\u015fken yerine ba\u011f\u0131ml\u0131 de\u011fi\u015fkenin logunun kullan\u0131lmas\u0131 \u00e7o\u011fu zaman de\u011fi\u015fen varyans\u0131n ortadan kalkmas\u0131yla sonu\u00e7lan\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>2. Ba\u011f\u0131ml\u0131 de\u011fi\u015fkeni yeniden tan\u0131mlay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Heteroskedasticity&#8217;yi d\u00fczeltmenin bir ba\u015fka yolu ba\u011f\u0131ml\u0131 de\u011fi\u015fkeni yeniden tan\u0131mlamakt\u0131r. Bunu yapman\u0131n yayg\u0131n bir yolu, ham de\u011fer yerine ba\u011f\u0131ml\u0131 de\u011fi\u015fken i\u00e7in bir <em>oran<\/em> kullanmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir \u015fehirdeki \u00e7i\u00e7ek\u00e7i say\u0131s\u0131n\u0131 tahmin etmek i\u00e7in n\u00fcfus b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fc kullanmak yerine, ki\u015fi ba\u015f\u0131na d\u00fc\u015fen \u00e7i\u00e7ek\u00e7i say\u0131s\u0131n\u0131 tahmin etmek i\u00e7in n\u00fcfus b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fc kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7o\u011fu durumda bu, \u00e7i\u00e7ek\u00e7ilerin say\u0131s\u0131ndan ziyade ki\u015fi ba\u015f\u0131na d\u00fc\u015fen \u00e7i\u00e7ek\u00e7ilerin say\u0131s\u0131n\u0131 \u00f6l\u00e7t\u00fc\u011f\u00fcm\u00fcz i\u00e7in daha b\u00fcy\u00fck pop\u00fclasyonlarda do\u011fal olarak olu\u015fan de\u011fi\u015fkenli\u011fi azalt\u0131r.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">3. A\u011f\u0131rl\u0131kl\u0131 regresyon kullan\u0131n<\/span><\/strong><\/h3>\n<p> Heteroskedasticity&#8217;yi <span style=\"color: #000000;\">d\u00fczeltmenin ba\u015fka bir yolu da<\/span> <span style=\"color: #000000;\">a\u011f\u0131rl\u0131kl\u0131 regresyon kullanmakt\u0131r. Bu regresyon t\u00fcr\u00fc, her veri noktas\u0131na, uydurulan de\u011ferin varyans\u0131na ba\u011fl\u0131 olarak bir a\u011f\u0131rl\u0131k atar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Temel olarak bu, daha y\u00fcksek varyansa sahip veri noktalar\u0131na d\u00fc\u015f\u00fck a\u011f\u0131rl\u0131k vererek bunlar\u0131n kalan karelerini azalt\u0131r. Uygun a\u011f\u0131rl\u0131klar kullan\u0131ld\u0131\u011f\u0131nda de\u011fi\u015fen varyans sorunu ortadan kald\u0131r\u0131labilir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00c7\u00f6z\u00fcm<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">De\u011fi\u015fken varyans, regresyon analizi s\u00f6z konusu oldu\u011funda olduk\u00e7a yayg\u0131n bir sorundur, \u00e7\u00fcnk\u00fc bir\u00e7ok veri seti do\u011fas\u0131 gere\u011fi sabit olmayan varyansa tabidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bununla birlikte, <em>art\u0131k grafi\u011fine kar\u015f\u0131 uygun bir de\u011fer grafi\u011fi<\/em> kullan\u0131larak de\u011fi\u015fen varyanslar\u0131 tespit etmek olduk\u00e7a kolay olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ba\u011f\u0131ml\u0131 de\u011fi\u015fkeni d\u00f6n\u00fc\u015ft\u00fcrerek, ba\u011f\u0131ml\u0131 de\u011fi\u015fkeni yeniden tan\u0131mlayarak veya a\u011f\u0131rl\u0131kl\u0131 regresyon kullanarak de\u011fi\u015fen varyans sorunu \u00e7o\u011fu zaman ortadan kald\u0131r\u0131labilir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Regresyon analizinde, heteroskedastisite (bazen heteroskedastisite olarak da yaz\u0131l\u0131r), art\u0131klar\u0131n veya hata terimlerinin e\u015fit olmayan da\u011f\u0131l\u0131m\u0131n\u0131 ifade eder. Daha do\u011frusu, \u00f6l\u00e7\u00fclen de\u011ferler aral\u0131\u011f\u0131 boyunca art\u0131klar\u0131n da\u011f\u0131l\u0131m\u0131nda sistematik bir de\u011fi\u015fikli\u011fin oldu\u011fu durum budur. Heteroskedasticity bir sorundur \u00e7\u00fcnk\u00fc s\u0131radan en k\u00fc\u00e7\u00fck kareler (OLS) regresyonu, art\u0131klar\u0131n, sabit varyans anlam\u0131na gelen homoskedastisiteye sahip bir pop\u00fclasyondan geldi\u011fini varsayar. Bir regresyon analizinde [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-451","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Regresyon Analizinde De\u011fi\u015fen Varyansl\u0131l\u0131\u011f\u0131 Anlamak - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, regresyon analizinde de\u011fi\u015fen varyans\u0131n nas\u0131l tespit edilece\u011fi birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\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\/degisen-varyans-regresyonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Regresyon Analizinde De\u011fi\u015fen Varyansl\u0131l\u0131\u011f\u0131 Anlamak - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, regresyon analizinde de\u011fi\u015fen varyans\u0131n nas\u0131l tespit edilece\u011fi birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/degisen-varyans-regresyonu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T21:04:54+00:00\" \/>\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=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/degisen-varyans-regresyonu\/\",\"url\":\"https:\/\/statorials.org\/tr\/degisen-varyans-regresyonu\/\",\"name\":\"Regresyon Analizinde De\u011fi\u015fen Varyansl\u0131l\u0131\u011f\u0131 Anlamak - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T21:04:54+00:00\",\"dateModified\":\"2023-07-29T21:04:54+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, regresyon analizinde de\u011fi\u015fen varyans\u0131n nas\u0131l tespit edilece\u011fi birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/degisen-varyans-regresyonu\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/degisen-varyans-regresyonu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/degisen-varyans-regresyonu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Regresyon analizinde heteroskedastisiteyi anlamak\"}]},{\"@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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