{"id":2091,"date":"2023-07-23T17:59:06","date_gmt":"2023-07-23T17:59:06","guid":{"rendered":"https:\/\/statorials.org\/tr\/danova-kalintisi\/"},"modified":"2023-07-23T17:59:06","modified_gmt":"2023-07-23T17:59:06","slug":"danova-kalintisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/danova-kalintisi\/","title":{"rendered":"Anova modelinde art\u0131klar nas\u0131l analiz edilir"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>ANOVA<\/strong> (&#8220;varyans analizi&#8221;), \u00fc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131 aras\u0131nda anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131lan bir model t\u00fcr\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir ANOVA&#8217;y\u0131 yerle\u015ftiririz Bir veri setine model uyguland\u0131\u011f\u0131nda, her zaman art\u0131klar olacakt\u0131r; bunlar, her bir bireysel g\u00f6zlem ile g\u00f6zlemin geldi\u011fi grup ortalamas\u0131 aras\u0131ndaki fark\u0131 temsil eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, pratikte bir ANOVA modeli i\u00e7in art\u0131klar\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: ANOVA&#8217;da art\u0131klar\u0131n hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir kilo verme deneyine kat\u0131lmak \u00fczere 90 ki\u015fiyi i\u015fe ald\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m; bu deneyde rastgele olarak 30 ki\u015fiyi bir ay boyunca Program A, Program B veya Program C&#8217;yi takip edecek \u015fekilde atad\u0131k.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7 programdan kaynaklanan kilo kayb\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in tek y\u00f6nl\u00fc bir ANOVA ger\u00e7ekle\u015ftirebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her programa kat\u0131lan bireylerin ortalama kilo kayb\u0131n\u0131 \u015fu \u015fekilde hesaplad\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Program A<\/strong> : 1,58 pound<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>B Program\u0131<\/strong> : 2,56 pound<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Program C<\/strong> : 4,13 pound<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">ANOVA modelinden elde edilen kal\u0131nt\u0131lar, her bireyin kilo kayb\u0131 ile programlar\u0131n\u0131n ortalama kilo kayb\u0131 aras\u0131ndaki fark olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131daki tablo \u00e7al\u0131\u015fmadaki 10 farkl\u0131 birey i\u00e7in art\u0131klar\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19454 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anova_residuals1-1.png\" alt=\"\" width=\"651\" height=\"316\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki desene dikkat edin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Grup ortalamas\u0131n\u0131n \u00fczerinde bir de\u011fere sahip olan bireylerin <strong>pozitif bir kal\u0131nt\u0131s\u0131<\/strong> vard\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Grup ortalamas\u0131ndan daha d\u00fc\u015f\u00fck bir de\u011fere sahip olan bireylerin <strong>negatif bir kal\u0131nt\u0131s\u0131<\/strong> vard\u0131.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Uygulamada, 90 bireyin tamam\u0131 i\u00e7in art\u0131klar\u0131 hesaplayaca\u011f\u0131z.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Normalli\u011fi kontrol etmek i\u00e7in art\u0131klar nas\u0131l kullan\u0131l\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/danova-hipotezleri\/\" target=\"_blank\" rel=\"noopener\">ANOVA&#8217;n\u0131n varsay\u0131mlar\u0131ndan<\/a> biri art\u0131klar\u0131n normal da\u011f\u0131ld\u0131\u011f\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131m\u0131 do\u011frulaman\u0131n en yayg\u0131n yolu bir <a href=\"https:\/\/statorials.org\/tr\/izin-bir-miktar-normalligi\/\" target=\"_blank\" rel=\"noopener\">QQ grafi\u011fi<\/a> olu\u015fturmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Art\u0131klar normal olarak da\u011f\u0131lm\u0131\u015fsa, QQ grafi\u011findeki noktalar d\u00fcz bir \u00e7apraz \u00e7izgi \u00fczerinde yer alacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6nceki \u00f6rne\u011fimizde bir QQ grafi\u011fi \u015fu \u015fekilde g\u00f6r\u00fcnecektir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-18162 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/qqnorm1.png\" alt=\"\" width=\"466\" height=\"454\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">U\u00e7lar, kuyru\u011fun u\u00e7lar\u0131ndaki d\u00fcz \u00e7apraz \u00e7izgiden biraz sapar, ancak genel olarak d\u00fc\u015fen u\u00e7lar, \u00e7apraz \u00e7izgiyi olduk\u00e7a iyi takip eder.<\/span> <span style=\"color: #000000;\">Bu bize normallik varsay\u0131m\u0131n\u0131n muhtemelen kar\u015f\u0131land\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Referans olmas\u0131 a\u00e7\u0131s\u0131ndan, normal \u015fekilde da\u011f\u0131lmayan art\u0131klar i\u00e7in bir QQ grafi\u011fi \u015f\u00f6yle g\u00f6r\u00fcnebilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-18163 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/qqnorm2.png\" alt=\"\" width=\"465\" height=\"447\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Noktalar d\u00fcz \u00e7apraz \u00e7izgiden b\u00fcy\u00fck \u00f6l\u00e7\u00fcde sapmaktad\u0131r, bu da art\u0131klar\u0131n normal \u015fekilde da\u011f\u0131lmad\u0131\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Farkl\u0131 yaz\u0131l\u0131mlarda QQ grafiklerinin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 \u00f6\u011frenmek i\u00e7in a\u015fa\u011f\u0131daki e\u011fitimlere bak\u0131n:<\/span><\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/tr\/bazi-excel-grafigi\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de QQ Grafi\u011fi Nas\u0131l Olu\u015fturulur<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/tr\/birisi-ilgisini-cekiyor\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de QQ grafi\u011fi nas\u0131l olu\u015fturulur<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/tr\/bazi-python-arsalari\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da QQ Grafi\u011fi Nas\u0131l Olu\u015fturulur<\/a><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki makaleler ANOVA modelleri hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">Tek Y\u00f6nl\u00fc ANOVA&#8217;ya Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/danova-hipotezleri\/\" target=\"_blank\" rel=\"noopener\">ANOVA varsay\u0131mlar\u0131 nas\u0131l kontrol edilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/anova-somut-ornekler\/\" target=\"_blank\" rel=\"noopener\">ANOVA&#8217;n\u0131n ger\u00e7ek hayatta kullan\u0131m\u0131na ili\u015fkin 4 \u00f6rnek<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>ANOVA (&#8220;varyans analizi&#8221;), \u00fc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131 aras\u0131nda anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131lan bir model t\u00fcr\u00fcd\u00fcr. Bir ANOVA&#8217;y\u0131 yerle\u015ftiririz Bir veri setine model uyguland\u0131\u011f\u0131nda, her zaman art\u0131klar olacakt\u0131r; bunlar, her bir bireysel g\u00f6zlem ile g\u00f6zlemin geldi\u011fi grup ortalamas\u0131 aras\u0131ndaki fark\u0131 temsil eder. A\u015fa\u011f\u0131daki \u00f6rnek, pratikte bir ANOVA modeli i\u00e7in [&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-2091","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>ANOVA modelinde art\u0131klar nas\u0131l analiz edilir - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir ANOVA modelinde art\u0131klar\u0131n nas\u0131l analiz edilece\u011fi ve yorumlanaca\u011f\u0131 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\/danova-kalintisi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ANOVA modelinde art\u0131klar nas\u0131l analiz edilir - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, bir ANOVA modelinde art\u0131klar\u0131n nas\u0131l analiz edilece\u011fi ve yorumlanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/danova-kalintisi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-23T17:59:06+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anova_residuals1-1.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=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/danova-kalintisi\/\",\"url\":\"https:\/\/statorials.org\/tr\/danova-kalintisi\/\",\"name\":\"ANOVA modelinde art\u0131klar nas\u0131l analiz edilir - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-23T17:59:06+00:00\",\"dateModified\":\"2023-07-23T17:59:06+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, bir ANOVA modelinde art\u0131klar\u0131n nas\u0131l analiz edilece\u011fi ve yorumlanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/danova-kalintisi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/danova-kalintisi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/danova-kalintisi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Anova modelinde art\u0131klar nas\u0131l analiz edilir\"}]},{\"@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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