{"id":3091,"date":"2023-07-19T06:30:12","date_gmt":"2023-07-19T06:30:12","guid":{"rendered":"https:\/\/statorials.org\/tr\/buyuk-orta-anova\/"},"modified":"2023-07-19T06:30:12","modified_gmt":"2023-07-19T06:30:12","slug":"buyuk-orta-anova","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/buyuk-orta-anova\/","title":{"rendered":"Anova&#39;da genel ortalama nas\u0131l hesaplan\u0131r (\u00f6rnekle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde, kar\u015f\u0131l\u0131k gelen pop\u00fclasyonun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek amac\u0131yla \u00fc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">tek y\u00f6nl\u00fc ANOVA<\/a> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA kullan\u0131rken her zaman hesaplad\u0131\u011f\u0131m\u0131z bir \u00f6l\u00e7\u00fcm, veri k\u00fcmesindeki t\u00fcm <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlemlerin<\/a> ortalama de\u011ferini temsil eden <strong>genel ortalamad\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>Genel ortalama = \u03a3x <sub>i<\/sub> \/ n<\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : Veri k\u00fcmesindeki <sup>i&#8217;inci<\/sup> g\u00f6zlem<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : Veri setindeki toplam g\u00f6zlem say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Genel ortalama \u00f6nemlidir \u00e7\u00fcnk\u00fc form\u00fclde son ANOVA tablosunda yer alan \u00f6nemli bir de\u011fer olan toplam kareler toplam\u0131n\u0131 hesaplamak i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, pratikte bir ANOVA&#8217;n\u0131n genel ortalamas\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u00d6rnek: ANOVA&#8217;da genel ortalaman\u0131n hesaplanmas\u0131<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7 farkl\u0131 s\u0131nava haz\u0131rl\u0131k program\u0131n\u0131n belirli bir s\u0131navda farkl\u0131 ortalama puanlara yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. Bunu test etmek i\u00e7in 30 \u00f6\u011frenciyi bir \u00e7al\u0131\u015fmaya kat\u0131yoruz ve onlar\u0131 \u00fc\u00e7 gruba ay\u0131r\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her gruptaki \u00f6\u011frenciler, bir s\u0131nava haz\u0131rlanmak i\u00e7in bir ay boyunca \u00fc\u00e7 s\u0131nav haz\u0131rl\u0131k program\u0131ndan birini kullanmak \u00fczere rastgele atan\u0131r. Ay sonunda t\u00fcm \u00f6\u011frenciler ayn\u0131 s\u0131nava girerler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her gruba ait s\u0131nav sonu\u00e7lar\u0131 a\u015fa\u011f\u0131da g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8258 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/aller-simple2.png\" sizes=\"auto, \" srcset=\"\" alt=\"Tek y\u00f6nl\u00fc ANOVA verilerine \u00f6rnek\" width=\"237\" height=\"246\"><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesinin <strong>genel ortalamas\u0131n\u0131<\/strong> hesaplamak i\u00e7in t\u00fcm g\u00f6zlemleri toplay\u0131p ard\u0131ndan toplam g\u00f6zlem say\u0131s\u0131na b\u00f6l\u00fcyoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel ortalama: (85 + 86 + 88 + 75 + 78 + 94 + 98 + 79 + 71 + 80 + 91 + 92 + 93 + 85 + 87 + 84 + 82 + 88 + 95 + 96 + 79 + 78 + 88 + 94 + 92 + 85 + 83 + 85 + 82 + 81) \/ 30 = <strong>85,8<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel ortalama 85,8&#8217;dir. Bu, 30 \u00f6\u011frencinin ortalama s\u0131nav puan\u0131n\u0131 temsil etmektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011ferin mutlaka bireysel grup ortalamalar\u0131yla e\u015fle\u015fmeyece\u011fini unutmay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, her \u00f6\u011frenci grubu i\u00e7in ortalamay\u0131 hesaplarsak, hi\u00e7bir grup ortalamas\u0131n\u0131n asl\u0131nda genel ortalamaya (veya &#8220;genel&#8221; ortalamaya) kar\u015f\u0131l\u0131k gelmedi\u011fini g\u00f6rece\u011fiz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8434 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anovamain1-1.png\" alt=\"\" width=\"300\" height=\"257\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu genel ortalama daha sonra form\u00fclde, her bir g\u00f6zlem ile genel ortalama aras\u0131ndaki sapmalar\u0131n karelerinin toplam\u0131 olarak hesaplanan <strong>toplam kareler toplam\u0131n\u0131<\/strong> hesaplamak i\u00e7in kullan\u0131l\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Toplam kareler toplam\u0131: (85 \u2013 85,8) <sup>2<\/sup> + (86 \u2013 85,8) <sup>2<\/sup> + (88 \u2013 85,8) <sup>2<\/sup> + . . . + (82 \u2013 85,8) <sup>2<\/sup> + (81 \u2013 85,8) <sup>2<\/sup> = <strong>1292,8<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Bu de\u011fer daha sonra iste\u011fe ba\u011fl\u0131 olarak son ANOVA tablosunda kullan\u0131l\u0131r:<\/span><\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Kaynak<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Kareler toplam\u0131 (SS)<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">df<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Ortalama kareler (MS)<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">F<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Tedavi<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">192.2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">96.1<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2.358<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Hata<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1100.6<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">27<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">40.8<\/span><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Toplam<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1292.8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">29<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/anova-f-degeri-p-degeri\/\" target=\"_blank\" rel=\"noopener\">ANOVA&#8217;da F-De\u011feri ve P-De\u011feri Nas\u0131l Yorumlan\u0131r?<\/a><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130yi haber \u015fu ki, \u00e7o\u011fu istatistiksel yaz\u0131l\u0131m bunu sizin i\u00e7in yapabilece\u011finden, ANOVA&#8217;n\u0131n genel ortalamas\u0131n\u0131 manuel olarak hesaplaman\u0131za nadiren ihtiya\u00e7 duyacaks\u0131n\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak genel ortalaman\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 ve ANOVA tablosunda ger\u00e7ekte nas\u0131l kullan\u0131ld\u0131\u011f\u0131n\u0131 bilmek iyidir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><b>Ek kaynaklar<\/b><\/span><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde tek y\u00f6nl\u00fc ANOVA&#8217;n\u0131n pratikte nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova-a-la-main\/\" target=\"_blank\" rel=\"noopener\">Tek y\u00f6nl\u00fc ANOVA manuel olarak nas\u0131l ger\u00e7ekle\u015ftirilir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Tek Y\u00f6nl\u00fc ANOVA Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de tek y\u00f6nl\u00fc ANOVA nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerde, kar\u015f\u0131l\u0131k gelen pop\u00fclasyonun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek amac\u0131yla \u00fc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in tek y\u00f6nl\u00fc ANOVA kullan\u0131l\u0131r. ANOVA kullan\u0131rken her zaman hesaplad\u0131\u011f\u0131m\u0131z bir \u00f6l\u00e7\u00fcm, veri k\u00fcmesindeki t\u00fcm g\u00f6zlemlerin ortalama de\u011ferini temsil eden genel ortalamad\u0131r . A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: Genel ortalama = \u03a3x i \/ [&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-3091","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&#039;da Genel Ortalama Nas\u0131l Hesaplan\u0131r (\u00d6rnekle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde tam bir \u00f6rnekle ANOVA&#039;da genel ortalaman\u0131n nas\u0131l hesaplanaca\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\/buyuk-orta-anova\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ANOVA&#039;da Genel Ortalama Nas\u0131l Hesaplan\u0131r (\u00d6rnekle) - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde tam bir \u00f6rnekle ANOVA&#039;da genel ortalaman\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/buyuk-orta-anova\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-19T06:30:12+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/aller-simple2.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\/buyuk-orta-anova\/\",\"url\":\"https:\/\/statorials.org\/tr\/buyuk-orta-anova\/\",\"name\":\"ANOVA&#39;da Genel Ortalama Nas\u0131l Hesaplan\u0131r (\u00d6rnekle) - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-19T06:30:12+00:00\",\"dateModified\":\"2023-07-19T06:30:12+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde tam bir \u00f6rnekle ANOVA&#39;da genel ortalaman\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/buyuk-orta-anova\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/buyuk-orta-anova\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/buyuk-orta-anova\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Anova&#39;da genel ortalama nas\u0131l hesaplan\u0131r (\u00f6rnekle)\"}]},{\"@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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