{"id":426,"date":"2023-07-29T23:48:49","date_gmt":"2023-07-29T23:48:49","guid":{"rendered":"https:\/\/statorials.org\/tr\/anova-tekrarlanan-olcumler\/"},"modified":"2023-07-29T23:48:49","modified_gmt":"2023-07-29T23:48:49","slug":"anova-tekrarlanan-olcumler","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/anova-tekrarlanan-olcumler\/","title":{"rendered":"Tekrarlanan \u00f6l\u00e7\u00fcmler anova: tan\u0131m, form\u00fcl ve \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA,<\/strong> her grupta ayn\u0131 deneklerin yer ald\u0131\u011f\u0131 \u00fc\u00e7 veya daha fazla grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA genellikle iki \u00f6zel durumda kullan\u0131l\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u00dc\u00e7 veya daha fazla zaman noktas\u0131nda deneklerin ortalama puanlar\u0131n\u0131 \u00f6l\u00e7\u00fcn.<\/strong> \u00d6rne\u011fin, ortalama dinlenme kalp at\u0131\u015f h\u0131zlar\u0131nda \u00f6nemli bir fark olup olmad\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in deneklerin dinlenme kalp at\u0131\u015f h\u0131zlar\u0131n\u0131 bir antrenman program\u0131na ba\u015flamadan bir ay \u00f6nce, antrenman program\u0131n\u0131n ortas\u0131nda ve antrenman program\u0131ndan bir ay sonra \u00f6l\u00e7mek isteyebilirsiniz. Bu \u00fc\u00e7 zaman noktas\u0131ndaki oranlar.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1428 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/frequence-cardiaque-au-repos.png\" alt=\"Tek y\u00f6nl\u00fc tekrarlanan \u00f6l\u00e7\u00fcm anova \u00f6rne\u011fi\" width=\"397\" height=\"179\" srcset=\"\" sizes=\"auto, \"><br \/> <span style=\"color: #000000;\">Ayn\u0131 konular\u0131n tekrar tekrar nas\u0131l g\u00f6r\u00fcnd\u00fc\u011f\u00fcne dikkat edin. Ayn\u0131 denekleri <em>tekrar tekrar<\/em> \u00f6l\u00e7t\u00fc\u011f\u00fcm\u00fcz i\u00e7in tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA&#8217;s\u0131n\u0131 kulland\u0131k.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u00dc\u00e7 farkl\u0131 durumda deneklerin ortalama puanlar\u0131n\u0131 \u00f6l\u00e7\u00fcn.<\/strong> \u00d6rne\u011fin deneklerden \u00fc\u00e7 farkl\u0131 film izlemelerini ve her birini filmi ne kadar sevdiklerine g\u00f6re derecelendirmelerini isteyebilirsiniz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1430 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/notes-du-film.png\" alt=\"\u00d6rnek Tek Y\u00f6nl\u00fc Tekrarlanan \u00d6l\u00e7\u00fcmler ANOVA Veri Seti\" width=\"376\" height=\"128\" srcset=\"\" sizes=\"auto, \"><br \/> <span style=\"color: #000000;\">Yine her grupta ayn\u0131 denekler g\u00f6r\u00fcn\u00fcyor, bu nedenle bu \u00fc\u00e7 ko\u015ful aras\u0131ndaki ortalama fark\u0131 test etmek i\u00e7in tekrarlanan \u00f6l\u00e7\u00fcml\u00fc ANOVA&#8217;y\u0131 kullanmam\u0131z gerekiyor.<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">Tek Y\u00f6nl\u00fc ANOVA ve Tekrarlanan \u00d6l\u00e7\u00fcmler ANOVA<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Tipik bir <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener noreferrer\">tek y\u00f6nl\u00fc ANOVA&#8217;da<\/a> her grupta farkl\u0131 konular kullan\u0131l\u0131r. \u00d6rne\u011fin, yukar\u0131daki \u00f6rnekte oldu\u011fu gibi deneklerden \u00fc\u00e7 filmi derecelendirmelerini isteyebiliriz ancak her filmi derecelendirmek i\u00e7in farkl\u0131 konular kullan\u0131r\u0131z:<\/span><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1432 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/filmnotes2.png\" alt=\"Tek y\u00f6nl\u00fc ANOVA \u00f6rne\u011fi\" width=\"451\" height=\"141\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu durumda, \u00fc\u00e7 filmin ortalama reytingleri aras\u0131ndaki fark\u0131 test etmek i\u00e7in tipik bir tek y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirece\u011fiz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek hayatta ayn\u0131 deneklerin birden fazla tedavi ko\u015fulunda kullan\u0131lmas\u0131n\u0131n iki avantaj\u0131 vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Ara\u015ft\u0131rmac\u0131lar\u0131n bir deneyi y\u00fcr\u00fctmek i\u00e7in daha az say\u0131da ki\u015fiyi i\u015fe almas\u0131 ve \u00f6deme yapmas\u0131 daha ucuz ve daha h\u0131zl\u0131d\u0131r \u00e7\u00fcnk\u00fc ayn\u0131 ki\u015fiden verileri birden \u00e7ok kez elde edebilirler.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Verilerdeki varyans\u0131n bir k\u0131sm\u0131n\u0131 deneklerin kendilerine atfedebiliyoruz, b\u00f6ylece daha k\u00fc\u00e7\u00fck bir p de\u011feri elde etmeyi kolayla\u015ft\u0131r\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu t\u00fcr tasar\u0131m\u0131n potansiyel bir dezavantaj\u0131, deney \u00e7ok uzun s\u00fcrerse deneklerin s\u0131k\u0131lmas\u0131 veya yorulmas\u0131 ve bunun da sonu\u00e7lar\u0131 \u00e7arp\u0131tabilmesidir. \u00d6rne\u011fin denekler yorgun olduklar\u0131 ve eve gitmeye haz\u0131r olduklar\u0131 i\u00e7in izledikleri \u00fc\u00e7\u00fcnc\u00fc filme daha d\u00fc\u015f\u00fck puan verebilirler.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA: \u00f6rnek<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bir e\u011fitim program\u0131na kat\u0131lmak \u00fczere be\u015f ki\u015fiyi i\u015fe ald\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m. Bir antrenman program\u0131na kat\u0131lmadan \u00f6nce, 4 ayl\u0131k kat\u0131l\u0131mdan sonra ve 8 ayl\u0131k kat\u0131l\u0131mdan sonra dinlenme kalp at\u0131\u015flar\u0131n\u0131 \u00f6l\u00e7\u00fcyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tablo sonu\u00e7lar\u0131 g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1433 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/reposheartrate2.png\" alt=\"Tek y\u00f6nl\u00fc tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA veri seti\" width=\"438\" height=\"169\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00fc\u00e7 zaman noktas\u0131nda kalan ortalama kalp at\u0131\u015f h\u0131z\u0131nda bir fark olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyoruz. Bu nedenle, a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanarak 0,05 anlaml\u0131l\u0131k seviyesinde tekrarlanan bir ANOVA \u00f6l\u00e7\u00fcm\u00fc ger\u00e7ekle\u015ftiriyoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1. Hipotezleri belirtin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>S\u0131f\u0131r hipotezi (H <sub>0<\/sub> ):<\/strong> \u00b5 <sub>1<\/sub> = \u00b5 <sub>2<\/sub> = \u00b5 <sub>3<\/sub> (n\u00fcfus ortalamalar\u0131n\u0131n t\u00fcm\u00fc e\u015fittir)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Alternatif hipotez: (Ha):<\/strong> en az bir pop\u00fclasyon ortalamas\u0131 di\u011ferlerinden farkl\u0131d\u0131r<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2. Tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA&#8217;y\u0131 ger\u00e7ekle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki girdiyi kullanarak <a href=\"https:\/\/statorials.org\/tr\/anova-tek-yonlu-tekrarlanan-olcum-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener noreferrer\">tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullanaca\u011f\u0131z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8378 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anovarep1.png\" alt=\"Tek Y\u00f6nl\u00fc Tekrarlanan \u00d6l\u00e7\u00fcmler ANOVA Hesaplay\u0131c\u0131\" width=\"446\" height=\"496\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u201cHesapla\u201dya t\u0131klad\u0131\u011f\u0131m\u0131zda a\u015fa\u011f\u0131daki sonu\u00e7 otomatik olarak g\u00f6r\u00fcnecektir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8379 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anovarep2.png\" alt=\"Tekrarlanan \u00f6l\u00e7\u00fcmlerin sonu\u00e7lar\u0131 ANOVA\" width=\"388\" height=\"184\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3.<\/strong><\/span> <span style=\"color: #000000;\"><strong>Sonu\u00e7lar\u0131 yorumlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7\u0131kt\u0131 tablosundan F testi istatisti\u011finin <strong>9,598<\/strong> ve buna kar\u015f\u0131l\u0131k gelen p de\u011ferinin <strong>0,00749<\/strong> oldu\u011funu g\u00f6r\u00fcyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddediyoruz. Bu, \u00fc\u00e7 farkl\u0131 zamandaki ortalama kalan kalp at\u0131\u015f h\u0131z\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n<h3> <strong>Ek kaynaklar<\/strong><\/h3>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki makaleler, farkl\u0131 istatistiksel yaz\u0131l\u0131mlar kullan\u0131larak tekrarlanan \u00f6l\u00e7\u00fcm ANOVA&#8217;s\u0131n\u0131n nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini a\u00e7\u0131klamaktad\u0131r:<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <a href=\"https:\/\/statorials.org\/tr\/tekrarlanan-olcumler-anova-excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">Excel&#8217;de Tekrarlanan \u00d6l\u00e7\u00fcmler ANOVA<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-tekrarlanan-olcumler-anova\/\">R&#8217;de tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/tekrarlanan-olcumler-anova-durumu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Stata&#8217;da tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/tekrarlanan-olcumler-anova-python\/\">Python&#8217;da tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/tekrarlanan-olcumler-anova-spss\/\">Tekrarlanan \u00f6l\u00e7\u00fcmler SPSS&#8217;de ANOVA<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/tekrarlanan-olcumler-anova-google-sayfalari\/\" target=\"_blank\" rel=\"noopener noreferrer\">Google E-Tablolar&#8217;da Tekrarlanan \u00d6l\u00e7\u00fcmler ANOVA<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/anova-elle-tekrarlanan-olcumler\/\">Elle tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/anova-tek-yonlu-tekrarlanan-olcum-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Tekrarlanan \u00d6l\u00e7\u00fcmler ANOVA Hesaplay\u0131c\u0131<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA, her grupta ayn\u0131 deneklerin yer ald\u0131\u011f\u0131 \u00fc\u00e7 veya daha fazla grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131l\u0131r. Tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA genellikle iki \u00f6zel durumda kullan\u0131l\u0131r: 1. \u00dc\u00e7 veya daha fazla zaman noktas\u0131nda deneklerin ortalama puanlar\u0131n\u0131 \u00f6l\u00e7\u00fcn. \u00d6rne\u011fin, ortalama dinlenme kalp at\u0131\u015f h\u0131zlar\u0131nda \u00f6nemli bir fark olup [&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-426","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>Tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA: tan\u0131m, form\u00fcl ve \u00f6rnek - Statorials<\/title>\n<meta name=\"description\" content=\"Resmi bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA&#039;ya basit bir giri\u015f.\" \/>\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\/anova-tekrarlanan-olcumler\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Tekrarlanan \u00f6l\u00e7\u00fcmler ANOVA: tan\u0131m, form\u00fcl ve \u00f6rnek - 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