{"id":2209,"date":"2023-07-23T06:16:01","date_gmt":"2023-07-23T06:16:01","guid":{"rendered":"https:\/\/statorials.org\/tr\/anova-esit-olmayan-orneklem-buyuklugu\/"},"modified":"2023-07-23T06:16:01","modified_gmt":"2023-07-23T06:16:01","slug":"anova-esit-olmayan-orneklem-buyuklugu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/anova-esit-olmayan-orneklem-buyuklugu\/","title":{"rendered":"E\u015fit olmayan \u00f6rnek boyutlar\u0131yla anova nas\u0131l ger\u00e7ekle\u015ftirilir"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistik s\u00f6z konusu oldu\u011funda \u00f6\u011frencilerin s\u0131kl\u0131kla sordu\u011fu bir soru \u015fudur:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>Her grubun \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc e\u015fit olmad\u0131\u011f\u0131nda tek y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirilebilir mi?<\/em><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">K\u0131sa cevap:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Evet, \u00f6rneklem b\u00fcy\u00fckl\u00fckleri e\u015fit olmad\u0131\u011f\u0131nda tek y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirebilirsiniz. E\u015fit \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc, ANOVA&#8217;da yap\u0131lan <a href=\"https:\/\/statorials.org\/tr\/danova-hipotezleri\/\" target=\"_blank\" rel=\"noopener\">varsay\u0131mlardan biri<\/a> de\u011fildir.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak e\u015fit olmayan \u00f6rneklem boyutlar\u0131yla tek y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirirken dikkate al\u0131nmas\u0131 gereken iki olas\u0131 sorun vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(1)<\/strong> Azalt\u0131lm\u0131\u015f istatistiksel g\u00fc\u00e7.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(2)<\/strong> Sa\u011flaml\u0131k e\u015fit olmayan varyansa indirgenmi\u015ftir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki b\u00f6l\u00fcmlerde bu iki potansiyel sorun ayr\u0131nt\u0131l\u0131 olarak a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sorun 1: Azalan istatistiksel g\u00fc\u00e7<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Gruplar\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in herhangi bir istatistiksel test t\u00fcr\u00fcn\u00fc kulland\u0131\u011f\u0131m\u0131zda, testin istatistiksel g\u00fcc\u00fc, her grup e\u015fit \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne sahip oldu\u011funda en y\u00fcksek olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130statistiksel g\u00fcc\u00fcn, bir testin bir etki ger\u00e7ekten varken onu tespit etme olas\u0131l\u0131\u011f\u0131n\u0131 ifade etti\u011fini hat\u0131rlay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Gruplar aras\u0131ndaki \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc farkl\u0131l\u0131klar\u0131 ne kadar b\u00fcy\u00fckse, ANOVA&#8217;n\u0131n istatistiksel g\u00fcc\u00fcn\u00fcn o kadar d\u00fc\u015f\u00fck oldu\u011fu g\u00f6sterilebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle ara\u015ft\u0131rmac\u0131lar daha y\u00fcksek g\u00fcce sahip olmak ve dolay\u0131s\u0131yla ger\u00e7ek farkl\u0131l\u0131klar\u0131 tespit etme olas\u0131l\u0131\u011f\u0131n\u0131 art\u0131rmak i\u00e7in genellikle e\u015fit \u00f6rneklem b\u00fcy\u00fckl\u00fckleri isterler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">E\u015fit olmayan \u00f6rneklem b\u00fcy\u00fckl\u00fckleriyle tek y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirmek elbette m\u00fcmk\u00fcnd\u00fcr ancak tek y\u00f6nl\u00fc ANOVA&#8217;n\u0131n g\u00fcc\u00fcn\u00fcn azalaca\u011f\u0131n\u0131n fark\u0131nda olmal\u0131s\u0131n\u0131z.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sorun #2: Sa\u011flaml\u0131k e\u015fit olmayan varyansa indirgendi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Tek y\u00f6nl\u00fc ANOVA&#8217;n\u0131n varsay\u0131mlar\u0131ndan biri, her grup aras\u0131ndaki varyans\u0131n e\u015fit olmas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel olarak, tek y\u00f6nl\u00fc bir ANOVA, e\u015fit varyans varsay\u0131m\u0131n\u0131n ihlallerine kar\u015f\u0131 dayan\u0131kl\u0131 olarak kabul edilir, <em>ancak yaln\u0131zca her grup ayn\u0131 \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne sahipse<\/em> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla, e\u015fit olmayan \u00f6rneklem boyutlar\u0131na ve gruplar aras\u0131nda e\u015fit olmayan varyanslara sahipseniz, tek y\u00f6nl\u00fc ANOVA sonu\u00e7lar\u0131na g\u00fcvenmek zor olabilir.<\/span><\/p>\n<h3> <strong>E\u015fit olmayan \u00f6rnek boyutlar\u0131yla tek y\u00f6nl\u00fc ANOVA&#8217;n\u0131n kullan\u0131l\u0131p kullan\u0131lmayaca\u011f\u0131na nas\u0131l karar verilir?<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6rnek boyutlar\u0131n\u0131z e\u015fit de\u011filse ve grup ortalamalar\u0131 aras\u0131ndaki farklar\u0131 test etmek i\u00e7in tek y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirmek istiyorsan\u0131z nas\u0131l ilerleyece\u011finize karar vermek i\u00e7in a\u015fa\u011f\u0131daki ak\u0131\u015f \u015femas\u0131n\u0131 kullanabilirsiniz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-20278 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/inegal1-1.png\" alt=\"E\u015fit olmayan \u00f6rnek boyutlar\u0131yla tek y\u00f6nl\u00fc ANOVA'n\u0131n kullan\u0131l\u0131p kullan\u0131lmayaca\u011f\u0131na karar vermeye y\u00f6nelik ak\u0131\u015f \u015femas\u0131\" width=\"651\" height=\"407\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131da ak\u0131\u015f \u015femas\u0131n\u0131n k\u0131sa bir a\u00e7\u0131klamas\u0131n\u0131 bulacaks\u0131n\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Her grubun ayn\u0131 varyansa sahip olup olmad\u0131\u011f\u0131n\u0131 belirleyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Her grubun ayn\u0131 varyansa sahip olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in iki yakla\u015f\u0131mdan birini kullanabilirsiniz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Her grup i\u00e7in kutu grafikleri olu\u015fturun ve her gruptaki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131n yakla\u015f\u0131k olarak e\u015fit olup olmad\u0131\u011f\u0131na bak\u0131n.<\/span><\/li>\n<li> <span style=\"color: #000000;\">E\u015fit varyanslar i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/rde-bartletts-testi\/\" target=\"_blank\" rel=\"noopener\">Bartlett testi<\/a> gibi resmi bir istatistiksel test yap\u0131n.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Varyanslar e\u015fit de\u011filse, tek y\u00f6nl\u00fc ANOVA&#8217;n\u0131n parametrik olmayan e\u015fde\u011feri olarak kabul edilen <a href=\"https:\/\/statorials.org\/tr\/kruskal-wallis-testi\/\" target=\"_blank\" rel=\"noopener\">Kruskal-Wallis testi<\/a> yap\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bo\u015fluklar e\u015fitse bir sonraki ad\u0131ma ge\u00e7in.<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Ad\u0131m 2: Her grubun normal da\u011f\u0131l\u0131p da\u011f\u0131lmad\u0131\u011f\u0131n\u0131 belirleyin.<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Her gruptaki de\u011ferlerin yakla\u015f\u0131k olarak normal da\u011f\u0131l\u0131p da\u011f\u0131lmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in iki yakla\u015f\u0131mdan birini kullanabilirsiniz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Her grup i\u00e7in histogramlar veya <a href=\"https:\/\/statorials.org\/tr\/izin-bir-miktar-normalligi\/\" target=\"_blank\" rel=\"noopener\">QQ grafikleri<\/a> olu\u015fturun.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Shapiro-Wilk, Kolmogorov-Smironov, Jarque-Barre veya D&#8217;Agostino-Pearson gibi resmi istatistiksel testler yap\u0131n.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Her grup normal \u015fekilde da\u011f\u0131lm\u0131\u015fsa, tek y\u00f6nl\u00fc bir ANOVA y\u00fcr\u00fctebilir ve sonu\u00e7lar\u0131 herhangi bir s\u0131radan tek y\u00f6nl\u00fc ANOVA gibi yorumlayabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her grup normal \u015fekilde da\u011f\u0131lm\u0131yorsa bunun yerine Kruskal-Wallis testi yap\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\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\/kruskal-wallis-testi\/\" target=\"_blank\" rel=\"noopener\">Kruskal-Wallis testine giri\u015f<\/a><br \/> <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><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistik s\u00f6z konusu oldu\u011funda \u00f6\u011frencilerin s\u0131kl\u0131kla sordu\u011fu bir soru \u015fudur: Her grubun \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc e\u015fit olmad\u0131\u011f\u0131nda tek y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirilebilir mi? K\u0131sa cevap: Evet, \u00f6rneklem b\u00fcy\u00fckl\u00fckleri e\u015fit olmad\u0131\u011f\u0131nda tek y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirebilirsiniz. E\u015fit \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc, ANOVA&#8217;da yap\u0131lan varsay\u0131mlardan biri de\u011fildir. Ancak e\u015fit olmayan \u00f6rneklem boyutlar\u0131yla tek y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirirken dikkate al\u0131nmas\u0131 gereken iki olas\u0131 sorun [&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-2209","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>E\u015fit Olmayan \u00d6rneklem Boyutlar\u0131yla ANOVA Nas\u0131l Ger\u00e7ekle\u015ftirilir - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir \u00f6rnek de dahil olmak \u00fczere e\u015fit olmayan \u00f6rnek boyutlar\u0131yla ANOVA&#039;n\u0131n nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi 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\/anova-esit-olmayan-orneklem-buyuklugu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"E\u015fit Olmayan \u00d6rneklem Boyutlar\u0131yla ANOVA Nas\u0131l Ger\u00e7ekle\u015ftirilir - 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