{"id":2081,"date":"2023-07-23T19:14:33","date_gmt":"2023-07-23T19:14:33","guid":{"rendered":"https:\/\/statorials.org\/tr\/anova-f-degeri-p-degeri\/"},"modified":"2023-07-23T19:14:33","modified_gmt":"2023-07-23T19:14:33","slug":"anova-f-degeri-p-degeri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/anova-f-degeri-p-degeri\/","title":{"rendered":"Anova&#39;da f de\u011feri ve p de\u011feri nas\u0131l yorumlan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u00dc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <strong>ANOVA<\/strong> (&#8220;varyans analizi&#8221;) kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezleri kullan\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> T\u00fcm grup ortalamalar\u0131 e\u015fittir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> En az bir grubun ortalamas\u0131 di\u011ferlerinden farkl\u0131.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">ANOVA&#8217;y\u0131 her ger\u00e7ekle\u015ftirdi\u011finizde a\u015fa\u011f\u0131daki gibi bir \u00f6zet tablo elde edersiniz:<\/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<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">P de\u011feri<\/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<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,1138<\/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<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<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Tabloda hemen analiz etti\u011fimiz iki de\u011fer <strong>F istatisti\u011fi<\/strong> ve buna kar\u015f\u0131l\u0131k gelen <strong>p de\u011feridir<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>ANOVA&#8217;da F \u0130statisti\u011fini Anlamak<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>F istatisti\u011fi<\/strong> , ortalama kare i\u015flemenin ortalama kare hatas\u0131na oran\u0131d\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">F \u0130statisti\u011fi: \u0130\u015fleme Ortalama Kareleri \/ Ortalama Kare Hatas\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bunu yazman\u0131n ba\u015fka bir yolu da \u015fudur:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">F istatisti\u011fi: \u00d6rnek ortalamalar\u0131 aras\u0131ndaki varyasyon \/ \u00d6rnekler i\u00e7indeki varyasyon<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">F istatisti\u011fi ne kadar b\u00fcy\u00fck olursa, numune ortalamalar\u0131 aras\u0131ndaki varyasyon numuneler i\u00e7indeki varyasyona g\u00f6re o kadar b\u00fcy\u00fck olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani, F istatisti\u011fi ne kadar b\u00fcy\u00fckse, grup ortalamalar\u0131 aras\u0131nda bir fark oldu\u011fu o kadar a\u00e7\u0131kt\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>ANOVA&#8217;da P de\u011ferini anlama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Grup ortalamalar\u0131 aras\u0131ndaki fark\u0131n istatistiksel olarak anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in F istatisti\u011fine kar\u015f\u0131l\u0131k gelen <strong>p de\u011ferine<\/strong> bakabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu F de\u011ferine kar\u015f\u0131l\u0131k gelen <a href=\"https:\/\/statorials.org\/tr\/p-degerleri-istatistiksel-anlamlilik\/\" target=\"_blank\" rel=\"noopener\">p de\u011ferini<\/a> bulmak i\u00e7in payda = df Tedavi ve paydada serbestlik derecesi = df Hata olan bir <a href=\"https:\/\/statorials.org\/tr\/f-dagitim-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">F da\u011f\u0131l\u0131m\u0131 hesaplay\u0131c\u0131s\u0131<\/a> kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, 2,358&#8217;lik bir F de\u011ferine, pay df = 2&#8217;ye ve payda df = 27&#8217;ye kar\u015f\u0131l\u0131k gelen p de\u011feri <strong>0,1138&#8217;dir<\/strong> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19372 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anova_f1.png\" alt=\"\" width=\"335\" height=\"467\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri \u03b1 = 0,05&#8217;ten k\u00fc\u00e7\u00fckse, ANOVA&#8217;n\u0131n s\u0131f\u0131r hipotezini reddederiz ve \u00fc\u00e7 grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark oldu\u011fu sonucuna var\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Aksi takdirde, p de\u011feri \u03b1 = 0,05&#8217;ten k\u00fc\u00e7\u00fck de\u011filse, s\u0131f\u0131r hipotezini reddedemeyiz ve \u00fc\u00e7 grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark oldu\u011funu s\u00f6ylemek i\u00e7in yeterli kan\u0131t\u0131m\u0131z olmad\u0131\u011f\u0131 sonucuna var\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6zel \u00f6rnekte p de\u011feri 0,1138&#8217;dir, dolay\u0131s\u0131yla s\u0131f\u0131r hipotezini reddetmede ba\u015far\u0131s\u0131z olaca\u011f\u0131z. Bu, grup ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark oldu\u011funu s\u00f6ylemek i\u00e7in yeterli kan\u0131ta sahip olmad\u0131\u011f\u0131m\u0131z anlam\u0131na gelir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>ANOVA ile post-hoc testlerin kullan\u0131m\u0131 hakk\u0131nda<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">ANOVA&#8217;n\u0131n p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fckse, her grubun ortalamas\u0131n\u0131n e\u015fit oldu\u011funu \u00f6ne s\u00fcren s\u0131f\u0131r hipotezini reddederiz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu senaryoda, tam olarak hangi gruplar\u0131n birbirinden farkl\u0131 oldu\u011funu belirlemek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/post-hoc-anova-testleri\/\" target=\"_blank\" rel=\"noopener\">post-hoc testler<\/a> yapabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA&#8217;dan sonra kullanabilece\u011fimiz birka\u00e7 potansiyel post-hoc test vard\u0131r, ancak en pop\u00fcler olanlar\u0131 \u015funlard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Tukey testi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bonferroni testi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Scheffe testi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6zel durumunuza g\u00f6re hangi post-hoc testi kullanman\u0131z gerekti\u011fini anlamak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/tukey-vs-bonferroni-vs-scheffe\/\" target=\"_blank\" rel=\"noopener\">bu k\u0131lavuza<\/a> bak\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kaynaklar ANOVA testi hakk\u0131nda ek bilgi sunar:<\/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\/iki-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">\u0130ki Y\u00f6nl\u00fc ANOVA&#8217;ya Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/anova-sonuclari-nasil-raporlanir\/\" target=\"_blank\" rel=\"noopener\">Tam K\u0131lavuz: ANOVA Sonu\u00e7lar\u0131 Nas\u0131l Raporlan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/anova-ve-regresyon\/\" target=\"_blank\" rel=\"noopener\">ANOVA vs regresyon: fark nedir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00dc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in ANOVA (&#8220;varyans analizi&#8221;) kullan\u0131l\u0131r. ANOVA a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezleri kullan\u0131r: H 0 : T\u00fcm grup ortalamalar\u0131 e\u015fittir. H A : En az bir grubun ortalamas\u0131 di\u011ferlerinden farkl\u0131. ANOVA&#8217;y\u0131 her ger\u00e7ekle\u015ftirdi\u011finizde a\u015fa\u011f\u0131daki gibi bir \u00f6zet tablo elde edersiniz: Kaynak Kareler toplam\u0131 (SS) df [&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-2081","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 F de\u011feri ve P de\u011feri nas\u0131l yorumlan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir ANOVA&#039;da F de\u011ferinin ve buna kar\u015f\u0131l\u0131k gelen p de\u011ferinin nas\u0131l yorumlanaca\u011f\u0131 bir \u00f6rnekle 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-f-degeri-p-degeri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ANOVA&#039;da F de\u011feri ve P de\u011feri nas\u0131l yorumlan\u0131r - 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