{"id":546,"date":"2023-07-29T13:35:37","date_gmt":"2023-07-29T13:35:37","guid":{"rendered":"https:\/\/statorials.org\/tr\/danova-hipotezleri\/"},"modified":"2023-07-29T13:35:37","modified_gmt":"2023-07-29T13:35:37","slug":"danova-hipotezleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/danova-hipotezleri\/","title":{"rendered":"Anova varsay\u0131mlar\u0131 nas\u0131l kontrol edilir"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">Tek y\u00f6nl\u00fc ANOVA,<\/a> \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 istatistiksel bir testtir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tek y\u00f6nl\u00fc ANOVA&#8217;y\u0131 ne zaman kullanabilece\u011fimize bir \u00f6rnek:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\">90 ki\u015filik bir s\u0131n\u0131f\u0131 rastgele 30 ki\u015filik \u00fc\u00e7 gruba ay\u0131r\u0131yorsunuz. Her grup bir s\u0131nava haz\u0131rlanmak i\u00e7in bir ay boyunca farkl\u0131 bir \u00e7al\u0131\u015fma tekni\u011fi kullan\u0131yor. Ay sonunda t\u00fcm \u00f6\u011frenciler ayn\u0131 s\u0131nava girerler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7al\u0131\u015fma tekni\u011finin s\u0131nav puanlar\u0131 \u00fczerinde etkisi olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyorsunuz. Yani \u00fc\u00e7 grubun ortalama puanlar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <strong>tek y\u00f6nl\u00fc bir ANOVA<\/strong> ger\u00e7ekle\u015ftirirsiniz.<\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Tek y\u00f6nl\u00fc ANOVA yapmadan \u00f6nce \u00fc\u00e7 varsay\u0131m\u0131n kar\u015f\u0131land\u0131\u011f\u0131n\u0131 do\u011frulamam\u0131z gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Normallik<\/strong> \u2013 Her \u00f6rnek normal da\u011f\u0131lm\u0131\u015f bir pop\u00fclasyondan al\u0131nm\u0131\u015ft\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. E\u015fit varyanslar<\/strong> \u2013 \u00d6rneklerin al\u0131nd\u0131\u011f\u0131 pop\u00fclasyonlar\u0131n varyanslar\u0131 e\u015fittir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Ba\u011f\u0131ms\u0131zl\u0131k<\/strong> \u2013 Her grup i\u00e7indeki g\u00f6zlemler birbirinden ba\u011f\u0131ms\u0131zd\u0131r ve gruplar i\u00e7indeki g\u00f6zlemler<\/span> <span style=\"color: #000000;\">rastgele \u00f6rnekleme yoluyla elde edilmi\u015ftir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131mlar kar\u015f\u0131lanmazsa tek y\u00f6nl\u00fc ANOVA&#8217;m\u0131z\u0131n sonu\u00e7lar\u0131 g\u00fcvenilir olmayabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu yaz\u0131da bu varsay\u0131mlar\u0131n nas\u0131l kontrol edilece\u011fini ve bunlardan herhangi birinin ihlal edilmesi durumunda ne yap\u0131laca\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Varsay\u0131m #1: normallik<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">ANOVA, her \u00f6rne\u011fin normal da\u011f\u0131lm\u0131\u015f bir pop\u00fclasyondan al\u0131nd\u0131\u011f\u0131n\u0131 varsayar.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">R&#8217;de bu hipotez nas\u0131l kontrol edilir:<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Bu hipotezi do\u011frulamak i\u00e7in iki yakla\u015f\u0131m kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Histogramlar\u0131 veya QQ grafiklerini kullanarak hipotezi g\u00f6rsel olarak do\u011frulay\u0131n.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Shapiro-Wilk, Kolmogorov-Smironov, Jarque-Barre veya D&#8217;Agostino-Pearson gibi resmi istatistiksel testleri kullanarak hipotezi do\u011frulay\u0131n.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir kilo verme deneyine kat\u0131lmak \u00fczere 90 ki\u015fiyi i\u015fe ald\u0131\u011f\u0131m\u0131z\u0131 ve 30 ki\u015fiyi bir ay boyunca Program A, Program B veya Program C&#8217;yi takip etmek \u00fczere rastgele atad\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m. Program\u0131n kilo kayb\u0131 \u00fczerinde bir etkisi olup olmad\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in tek y\u00f6nl\u00fc bir ANOVA yapmak istiyoruz. A\u015fa\u011f\u0131daki kod, histogramlar, QQ grafikleri ve Shapiro-Wilk testi kullan\u0131larak normallik varsay\u0131m\u0131n\u0131n nas\u0131l kontrol edilece\u011fini g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. ANOVA modelini tak\u0131n.<\/strong><\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<span style=\"color: #000000;\">set.seed(0)\n<\/span>\n#create data frame\n<span style=\"color: #000000;\">data &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (program = rep(c(\" <span style=\"color: #ff0000;\">A<\/span> \", \" <span style=\"color: #ff0000;\">B<\/span> \", \" <span style=\"color: #ff0000;\">C<\/span> \"), each = <span style=\"color: #008000;\">30<\/span> ),\n                   weight_loss = c(runif(30, 0, 3),\n                                   runif(30, 0, 5),\n                                   runif(30, 1, 7)))<\/span>\n\n#fit the one-way ANOVA model\n<span style=\"color: #000000;\">model &lt;- aov(weight_loss ~ program, data = data)<\/span>\n<\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>2. Yan\u0131t de\u011ferlerinin histogram\u0131n\u0131 olu\u015fturun.<\/strong><\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create histogram<\/span>\nhist(data$weight_loss)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4758 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/histogramme.jpg\" alt=\"\" width=\"541\" height=\"392\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m \u00e7ok normal bir da\u011f\u0131l\u0131ma sahip g\u00f6r\u00fcnm\u00fcyor (\u00f6rne\u011fin &#8220;\u00e7an&#8221; \u015feklinde de\u011fil), ancak da\u011f\u0131l\u0131ma yeniden bakmak i\u00e7in bir QQ grafi\u011fi de olu\u015fturabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Art\u0131klar\u0131n QQ grafi\u011fini olu\u015fturun<\/strong><\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create QQ plot to compare this dataset to a theoretical normal distribution<\/span>\nqqnorm(model$residuals)\n\n<span style=\"color: #008080;\">#add straight diagonal line to plot\n<\/span>qqline(model$residuals)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4760 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/qqplot.jpg\" alt=\"R'deki Q-Q grafi\u011fi \u00f6rne\u011fi\" width=\"557\" height=\"394\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Genel olarak, e\u011fer veri noktalar\u0131 bir QQ grafi\u011finde d\u00fcz bir \u00e7apraz \u00e7izgi boyunca yer al\u0131yorsa, o zaman veri seti muhtemelen normal bir da\u011f\u0131l\u0131m izliyor demektir. Bu durumda, u\u00e7lar boyunca \u00e7izgiden g\u00f6zle g\u00f6r\u00fcl\u00fcr bir sapma oldu\u011funu g\u00f6rebiliriz, bu da verilerin normal \u015fekilde da\u011f\u0131lmad\u0131\u011f\u0131n\u0131 g\u00f6sterebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>4. Normallik i\u00e7in Shapiro-Wilk testini ger\u00e7ekle\u015ftirin.<\/strong><\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#Conduct Shapiro-Wilk Test for normality<\/span>\nshapiro. <span style=\"color: #3366ff;\">test<\/span> (data$weight_loss)\n\n#Shapiro-Wilk normality test\n#\n#data: data$weight_loss\n#W = 0.9587, p-value = 0.005999\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Shapiro-Wilk testi, \u00f6rneklerin normal da\u011f\u0131l\u0131mdan geldi\u011fi \u015feklindeki s\u0131f\u0131r hipotezini, \u00f6rneklerin normal da\u011f\u0131l\u0131mdan gelmedi\u011fi \u015feklindeki alternatif hipoteze kar\u015f\u0131 test eder. Bu durumda testin p de\u011feri <strong>0,005999<\/strong> olup alfa d\u00fczeyi olan 0,05&#8217;ten d\u00fc\u015f\u00fckt\u00fcr. Bu durum \u00f6rneklerin normal da\u011f\u0131l\u0131ma uymad\u0131\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Bu varsay\u0131ma uyulmazsa ne yap\u0131lmal\u0131:<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Genel olarak tek y\u00f6nl\u00fc bir ANOVA, \u00f6rneklem boyutlar\u0131 yeterince b\u00fcy\u00fck oldu\u011fu s\u00fcrece normallik varsay\u0131m\u0131n\u0131n ihlallerine kar\u015f\u0131 olduk\u00e7a sa\u011flam kabul edilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ek olarak, \u00e7ok b\u00fcy\u00fck \u00f6rnekleriniz varsa Shapiro-Wilk testi gibi istatistiksel testler neredeyse her zaman verilerinizin normal olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyecektir. Bu nedenle, histogramlar ve QQ grafikleri gibi grafikleri kullanarak verilerinizi g\u00f6rsel olarak incelemek genellikle en iyisidir. Sadece grafiklere bakarak verilerin normal da\u011f\u0131l\u0131p da\u011f\u0131lmad\u0131\u011f\u0131na dair olduk\u00e7a iyi bir fikir edinebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Normallik varsay\u0131m\u0131 <em>ciddi \u015fekilde<\/em> ihlal edilmi\u015fse veya sadece \u00e7ok muhafazakar olmak istiyorsan\u0131z iki se\u00e7ene\u011finiz vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(1)<\/strong> Da\u011f\u0131l\u0131mlar\u0131n daha normal da\u011f\u0131lmas\u0131 i\u00e7in verilerinizin yan\u0131t de\u011ferlerini d\u00f6n\u00fc\u015ft\u00fcr\u00fcn.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(2)<\/strong> Normallik varsay\u0131m\u0131n\u0131 gerektirmeyen <a href=\"https:\/\/statorials.org\/tr\/kruskal-wallis-testi\/\" target=\"_blank\" rel=\"noopener\">Kruskal-Wallis testi<\/a> gibi e\u015fde\u011fer bir parametrik olmayan test ger\u00e7ekle\u015ftirin.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Varsay\u0131m #2: e\u015fit varyans<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">ANOVA, \u00f6rneklerin al\u0131nd\u0131\u011f\u0131 pop\u00fclasyonlar\u0131n varyanslar\u0131n\u0131n e\u015fit oldu\u011funu varsayar.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">R&#8217;de bu hipotez nas\u0131l kontrol edilir:<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Bu hipotezi R&#8217;de iki yakla\u015f\u0131m kullanarak do\u011frulayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Kutu grafiklerini kullanarak hipotezi g\u00f6rsel olarak do\u011frulay\u0131n.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bartlett testi gibi resmi istatistiksel testleri kullanarak hipotezi test edin.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, daha \u00f6nce olu\u015fturdu\u011fumuz sahte kilo verme veri k\u00fcmesini kullanarak bunun nas\u0131l yap\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Kutu grafikleri olu\u015fturun.<\/strong><\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#Create box plots that show distribution of weight loss for each group<\/span>\nboxplot(weight_loss ~ program, xlab=' <span style=\"color: #ff0000;\">Program<\/span> ', ylab=' <span style=\"color: #ff0000;\">Weight Loss<\/span> ', data=data)\n<\/strong><\/pre>\n<h3><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4762 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/boite-a-moustaches.jpg\" alt=\"\" width=\"557\" height=\"371\" srcset=\"\" sizes=\"auto, \"><\/h3>\n<p> <span style=\"color: #000000;\">Her gruptaki kilo kayb\u0131ndaki farkl\u0131l\u0131k, her kutu grafi\u011finin uzunlu\u011funa g\u00f6re g\u00f6zlemlenebilir. Kutu ne kadar uzun olursa varyans da o kadar y\u00fcksek olur. \u00d6rne\u011fin Program A ve Program B ile kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda Program C kat\u0131l\u0131mc\u0131lar\u0131 i\u00e7in varyans\u0131n biraz daha y\u00fcksek oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Bartlett testini ger\u00e7ekle\u015ftirin.<\/strong><\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#Create box plots that show distribution of weight loss for each group<\/span>\nbartlett. <span style=\"color: #3366ff;\">test<\/span> (weight_loss ~ program, data=data)\n\n#Bartlett test of homogeneity of variances\n#\n#data: weight_loss by program\n#Bartlett's K-squared = 8.2713, df = 2, p-value = 0.01599<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/rde-bartletts-testi\/\" target=\"_blank\" rel=\"noopener\">Bartlett testi,<\/a> \u00f6rneklerin e\u015fit varyansa sahip oldu\u011funu ifade eden bo\u015f hipotezi, \u00f6rneklerin e\u015fit varyansa sahip olmad\u0131\u011f\u0131 alternatif hipotezine kar\u015f\u0131 test eder. Bu durumda testin p de\u011feri <strong>0,01599<\/strong> olup alfa d\u00fczeyi olan 0,05&#8217;ten d\u00fc\u015f\u00fckt\u00fcr. Bu durum \u00f6rneklerin hepsinin ayn\u0131 varyansa sahip olmad\u0131\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Bu varsay\u0131ma uyulmazsa ne yap\u0131lmal\u0131:<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Genel olarak,<\/span> <span style=\"color: #000000;\">tek y\u00f6nl\u00fc bir ANOVA, her grup ayn\u0131 \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne sahip oldu\u011fu s\u00fcrece e\u015fit varyans varsay\u0131m\u0131n\u0131n ihlallerine kar\u015f\u0131 olduk\u00e7a sa\u011flam kabul edilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak \u00f6rneklem b\u00fcy\u00fckl\u00fckleri ayn\u0131 de\u011filse ve bu varsay\u0131m ciddi \u015fekilde ihlal ediliyorsa bunun yerine tek y\u00f6nl\u00fc ANOVA&#8217;n\u0131n parametrik olmayan versiyonu olan <a href=\"https:\/\/statorials.org\/tr\/kruskal-wallis-testi\/\" target=\"_blank\" rel=\"noopener\">Kruskal-Wallis testini<\/a> \u00e7al\u0131\u015ft\u0131rabilirsiniz.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Varsay\u0131m #3: Ba\u011f\u0131ms\u0131zl\u0131k<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">ANOVA \u015funu varsayar:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Her grubun g\u00f6zlemleri di\u011fer t\u00fcm gruplar\u0131n g\u00f6zlemlerinden ba\u011f\u0131ms\u0131zd\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Her gruptaki g\u00f6zlemler rastgele bir \u00f6rnekle elde edildi.<\/span><\/li>\n<\/ul>\n<h3> <strong><span style=\"color: #000000;\">Bu hipotez nas\u0131l do\u011frulan\u0131r:<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Her gruptaki g\u00f6zlemlerin ba\u011f\u0131ms\u0131z oldu\u011funu ve bunlar\u0131n rastgele bir \u00f6rnekle elde edildi\u011fini do\u011frulamak i\u00e7in kullanabilece\u011finiz resmi bir test yoktur.<\/span> <span style=\"color: #000000;\">Bu varsay\u0131m\u0131 kar\u015f\u0131laman\u0131n tek yolu rastgele bir tasar\u0131m kullanmakt\u0131r.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Bu varsay\u0131ma uyulmazsa ne yap\u0131lmal\u0131:<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Ne yaz\u0131k ki bu varsay\u0131m kar\u015f\u0131lanmazsa yapabilece\u011finiz pek bir \u015fey yok. Basit\u00e7e s\u00f6ylemek gerekirse, veriler her gruptaki g\u00f6zlemlerin di\u011fer gruplardaki g\u00f6zlemlerden ba\u011f\u0131ms\u0131z olmayacak \u015fekilde toplanm\u0131\u015fsa veya her gruptaki g\u00f6zlemler rastgele bir s\u00fcre\u00e7le elde edilmemi\u015fse ANOVA sonu\u00e7lar\u0131 g\u00fcvenilir olmayacakt\u0131r. .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131m kar\u015f\u0131lanmazsa yap\u0131lacak en iyi \u015fey, deneyi rastgele bir tasar\u0131m kullanarak yeniden olu\u015fturmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Daha fazla okuma:<\/strong><\/span><\/p>\n<p> R&#8217;de tek y\u00f6nl\u00fc ANOVA nas\u0131l ger\u00e7ekle\u015ftirilir<br \/> Excel&#8217;de Tek Y\u00f6nl\u00fc ANOVA Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tek y\u00f6nl\u00fc ANOVA, \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 istatistiksel bir testtir. Tek y\u00f6nl\u00fc ANOVA&#8217;y\u0131 ne zaman kullanabilece\u011fimize bir \u00f6rnek: 90 ki\u015filik bir s\u0131n\u0131f\u0131 rastgele 30 ki\u015filik \u00fc\u00e7 gruba ay\u0131r\u0131yorsunuz. Her grup bir s\u0131nava haz\u0131rlanmak i\u00e7in bir ay boyunca farkl\u0131 bir \u00e7al\u0131\u015fma tekni\u011fi kullan\u0131yor. Ay [&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-546","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 Varsay\u0131mlar\u0131 Nas\u0131l Kontrol Edilir - Statoryaller<\/title>\n<meta name=\"description\" content=\"ANOVA&#039;n\u0131n \u00fc\u00e7 temel varsay\u0131m\u0131n\u0131 ve bu varsay\u0131mlar\u0131n kar\u015f\u0131land\u0131\u011f\u0131n\u0131n nas\u0131l do\u011frulanaca\u011f\u0131n\u0131 a\u00e7\u0131klayan basit bir e\u011fitim.\" \/>\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-hipotezleri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ANOVA Varsay\u0131mlar\u0131 Nas\u0131l Kontrol Edilir - 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