{"id":2479,"date":"2023-07-22T02:30:20","date_gmt":"2023-07-22T02:30:20","guid":{"rendered":"https:\/\/statorials.org\/tr\/elle-cift-yonlu-anova\/"},"modified":"2023-07-22T02:30:20","modified_gmt":"2023-07-22T02:30:20","slug":"elle-cift-yonlu-anova","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/elle-cift-yonlu-anova\/","title":{"rendered":"I\u0307ki y\u00f6nl\u00fc anova&#39;n\u0131n manuel olarak ger\u00e7ekle\u015ftirilmesi"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130ki fakt\u00f6re b\u00f6l\u00fcnm\u00fc\u015f \u00fc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/iki-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">iki y\u00f6nl\u00fc ANOVA<\/a> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde iki y\u00f6nl\u00fc ANOVA&#8217;n\u0131n manuel olarak nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u00d6rnek: Manuel iki y\u00f6nl\u00fc ANOVA<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Bir botanik\u00e7inin bitki b\u00fcy\u00fcmesinin g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131na maruz kalma ve sulama s\u0131kl\u0131\u011f\u0131ndan etkilenip etkilenmedi\u011fini bilmek istedi\u011fini varsayal\u0131m. 40 tohum ekiyor ve bir ay boyunca farkl\u0131 g\u00fcne\u015f ko\u015fullar\u0131 ve sulama s\u0131kl\u0131\u011f\u0131 ko\u015fullar\u0131nda b\u00fcy\u00fcmelerini sa\u011fl\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir ay sonra her bitkinin y\u00fcksekli\u011fini kaydediyor. Sonu\u00e7lar a\u015fa\u011f\u0131da g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1451 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova1.png\" sizes=\"auto, \" srcset=\"\" alt=\"Excel'de iki y\u00f6nl\u00fc ANOVA tablosu\" width=\"392\" height=\"241\"><\/p>\n<p> <span style=\"color: #000000;\">Yukar\u0131daki tabloda her bir ko\u015ful kombinasyonunda be\u015f bitkinin yeti\u015ftirildi\u011fini g\u00f6r\u00fcyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, be\u015f bitki g\u00fcnl\u00fck sulamayla ve g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 olmadan b\u00fcy\u00fct\u00fcld\u00fc ve iki ay sonra boylar\u0131 4,8 in\u00e7, 4,4 in\u00e7, 3,2 in\u00e7, 3,9 in\u00e7 ve 4,4 in\u00e7 oldu:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1453 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova2.png\" sizes=\"auto, \" srcset=\"\" alt=\"Excel'de iki y\u00f6nl\u00fc ANOVA verileri\" width=\"392\" height=\"241\"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: \u0130lk fakt\u00f6r\u00fcn (sulama s\u0131kl\u0131\u011f\u0131) karelerinin toplam\u0131n\u0131 hesaplay\u0131n<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak 40 bitkinin genel ortalama y\u00fcksekli\u011fini hesaplayaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel ortalama = (4,8 + 5 + 6,4 + 6,3 + \u2026 + 3,9 + 4,8 + 5,5 + 5,5) \/ 40 = <strong>5,1525<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, g\u00fcnl\u00fck olarak sulanan t\u00fcm bitkilerin ortalama y\u00fcksekli\u011fini hesaplayaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">G\u00fcnl\u00fck ortalama = (4,8 + 5 + 6,4 + 6,3 + \u2026 + 4,4 + 4,8 + 5,8 + 5,8) \/20 = <strong>5,155<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, her hafta sulanan t\u00fcm bitkilerin ortalama y\u00fcksekli\u011fini hesaplayaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Haftal\u0131k ortalama = (4,4 + 4,9 + 5,8 + 6 + \u2026 + 3,9 + 4,8 + 5,5 + 5,5) \/20 = <strong>5,15<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak \u201csulama s\u0131kl\u0131\u011f\u0131\u201d fakt\u00f6r\u00fcn\u00fcn karelerinin toplam\u0131n\u0131 hesaplayaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03a3n(X <sub>j<\/sub> \u2013 <span style=\"text-decoration: overline;\">X<\/span> ..) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : j grubunun \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : \u201ctoplam\u201d anlam\u0131na gelen Yunanca bir sembol<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>X <sub>j<\/sub><\/strong> : j grubunun ortalamas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">X<\/span> ..<\/strong> : m\u00fckemmel ortalama<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fimizde \u201csulama s\u0131kl\u0131\u011f\u0131\u201d fakt\u00f6r\u00fcn\u00fcn kareler toplam\u0131n\u0131 \u015fu \u015fekilde hesapl\u0131yoruz: 20(5,155-5,1525) <sup>2<\/sup> + 20(5,15-5,1525) <sup>2<\/sup> = <strong>0,00025<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: \u0130kinci fakt\u00f6r\u00fcn (g\u00fcne\u015fe maruz kalma) karelerinin toplam\u0131n\u0131 hesaplay\u0131n<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak 40 bitkinin genel ortalama y\u00fcksekli\u011fini hesaplayaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel ortalama = (4,8 + 5 + 6,4 + 6,3 + \u2026 + 3,9 + 4,8 + 5,5 + 5,5) \/ 40 = <strong>5,1525<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra g\u00fcne\u015fe maruz kalmayan t\u00fcm bitkilerin ortalama y\u00fcksekli\u011fini hesaplayaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">G\u00fcne\u015fsiz ortalama = (4,8 + 4,4 + 3,2 + 3,9 + 4,4 + 4,4 + 4,2 + 3,8 + 3,7 + 3,9) \/ 10 = <strong>4,07<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7e\u015fitli g\u00fcne\u015f \u0131\u015f\u0131nlar\u0131na maruz kalan bitkilerin ortalama y\u00fcksekli\u011fini bulmak i\u00e7in bu hesaplamay\u0131 tekrarlayaca\u011f\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">D\u00fc\u015f\u00fck g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 ortalamas\u0131 = <strong>5,1<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama ortalama g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 = <strong>5,89<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama y\u00fcksek g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 = <strong>5,55<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Daha sonra, a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak \u201cg\u00fcne\u015fe maruz kalma\u201d fakt\u00f6r\u00fcn\u00fcn karelerinin toplam\u0131n\u0131 hesaplayaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03a3n(X <sub>j<\/sub> \u2013 <span style=\"text-decoration: overline;\">X<\/span> ..) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : j grubunun \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : \u201ctoplam\u201d anlam\u0131na gelen Yunanca bir sembol<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>X <sub>j<\/sub><\/strong> : j grubunun ortalamas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">X<\/span> ..<\/strong> : m\u00fckemmel ortalama<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fimizde \u201cg\u00fcne\u015fe maruz kalma\u201d fakt\u00f6r\u00fcn\u00fcn kareler toplam\u0131n\u0131 \u015fu \u015fekilde hesapl\u0131yoruz: 10(4,07-5,1525) <sup>2<\/sup> + 10(5,1-5,1525) <sup>2<\/sup> + 10(5,89 -5,1525) <sup>2<\/sup> + 10(5,55-5,1525) <sup>2<\/sup> = <strong>18,76475<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: \u0130\u00e7erideki karelerin toplam\u0131n\u0131 hesaplay\u0131n (hata)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, her bir fakt\u00f6r kombinasyonu ile bireysel bitki boylar\u0131 aras\u0131ndaki farklar\u0131n karelerinin toplam\u0131n\u0131 alarak karelerin toplam\u0131n\u0131 hesaplayaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131na maruz kalmadan g\u00fcnl\u00fck olarak sulanan t\u00fcm bitkilerin ortalama boyu 4,14&#8217;t\u00fcr. Daha sonra bu bireysel bitkilerin her biri i\u00e7in farklar\u0131n karelerinin toplam\u0131n\u0131 a\u015fa\u011f\u0131daki \u015fekilde hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">G\u00fcnl\u00fck sulama i\u00e7in ve g\u00fcne\u015fsiz SS: (4,8-4,14) <sup>2<\/sup> + (4,4-4,14) <sup>2<\/sup> + (3,2-4,14) <sup>2<\/sup> + (3,9-4,14) <sup>2<\/sup> + (4,4-4,14) <sup>2<\/sup> = <strong>1,512<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu i\u015flemi her fakt\u00f6r kombinasyonu i\u00e7in tekrarlayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">G\u00fcnl\u00fck sulama ve d\u00fc\u015f\u00fck g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 i\u00e7in SS: <strong>0,928<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">G\u00fcnl\u00fck sulama ve ortalama g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 i\u00e7in SS: <strong>1.788<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">G\u00fcnl\u00fck sulama ve g\u00fc\u00e7l\u00fc g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 i\u00e7in SS: <strong>1,648<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">G\u00fcne\u015fsiz haftal\u0131k sulama i\u00e7in SS: <strong>0,34<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Haftal\u0131k sulama ve az g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 i\u00e7in SS: <strong>0,548<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Haftal\u0131k sulama ve ortalama g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 i\u00e7in SS: <strong>0,652<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Haftal\u0131k sulama ve g\u00fc\u00e7l\u00fc g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 i\u00e7in SS: <strong>1.268<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Daha sonra t\u00fcm bu de\u011ferlerin toplam\u0131n\u0131 alarak i\u00e7indeki karelerin toplam\u0131n\u0131 bulabiliriz (hata):<\/span><\/p>\n<p> <span style=\"color: #000000;\">= 1,512 + 0,928 + 1,788 + 1,648 + 0,34 + 0,548 + 0,652 + 1,268 = <strong>8,684<\/strong> i\u00e7indeki karelerin toplamlar\u0131<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Toplam kareler toplam\u0131n\u0131 hesaplay\u0131n<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra her bitkinin boyu ile genel ortalama aras\u0131ndaki farklar\u0131n toplam\u0131n\u0131 alarak toplam kareler toplam\u0131n\u0131 hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Toplam kareler toplam\u0131 = (4,8 \u2013 5,1525) <sup>2<\/sup> + (5 \u2013 5,1525) <sup>2<\/sup> + \u2026 + (5,5 \u2013 5,1525) <sup>2<\/sup> = <strong>28,45975<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: Kareler etkile\u015fiminin toplam\u0131n\u0131 hesaplay\u0131n<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak kareler etkile\u015fiminin toplam\u0131n\u0131 hesaplayaca\u011f\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Etkile\u015fim SS = SS Toplam \u2013 SS Fakt\u00f6r 1 \u2013 SS Fakt\u00f6r 2 \u2013 SS \u0130\u00e7 Mekan<\/span><\/li>\n<li> <span style=\"color: #000000;\">SS etkile\u015fimi = 28,45975 \u2013 0,00025 \u2013 18,76475 \u2013 8,684<\/span><\/li>\n<li> <span style=\"color: #000000;\">SS etkile\u015fimi = <strong>1.01075<\/strong><\/span><\/li>\n<\/ul>\n<p> <strong><span style=\"color: #000000;\">Ad\u0131m 6: ANOVA tablosunu tamamlay\u0131n<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Son olarak iki y\u00f6nl\u00fc ANOVA tablosundaki de\u011ferleri dolduraca\u011f\u0131z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22156 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/two_way_hand.png\" alt=\"\" width=\"508\" height=\"184\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Tablodaki farkl\u0131 say\u0131lar\u0131 \u015fu \u015fekilde hesaplad\u0131k:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>df Sulama s\u0131kl\u0131\u011f\u0131:<\/strong> d-1 = 2-1 = 1<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>df G\u00fcne\u015fe maruz kalma:<\/strong> k-1 = 4-1 = 3<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>dfEtkile\u015fim<\/strong> : (j-1)*(k-1) = 1*3 = 3<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>df In<\/strong> : n \u2013 (j*k) = 40 \u2013 (2*4) = 32<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>toplam sd:<\/strong> n-1 = 40-1 = 39<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MS:<\/strong> SS\/DF<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Sulama frekans\u0131 F<\/strong> : i\u00e7 mekan MS\/MS sulama frekans\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>F G\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131na maruz kalma<\/strong> : Kapal\u0131 alanlarda MS \/ MS g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131na maruz kalma<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Etkile\u015fim F<\/strong> : Etkile\u015fim MS \/ MS \u0130\u00e7i<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p-de\u011feri sulama frekans\u0131<\/strong> : Pay\u0131 df = 1 ve paydas\u0131 df = 32 olan 0,000921 F de\u011ferine kar\u015f\u0131l\u0131k gelen p de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>G\u00fcne\u015fe maruz kalma p-de\u011feri<\/strong> : pay\u0131 df = 3 ve paydas\u0131 df = 32 olan 23.04898 F de\u011ferine kar\u015f\u0131l\u0131k gelen p de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p-de\u011feri etkile\u015fimi<\/strong> : Pay\u0131 df = 3 ve paydas\u0131 df = 32 olan 1,241517&#8217;nin F de\u011ferine kar\u015f\u0131l\u0131k gelen p de\u011feri<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Not #1:<\/strong> n = toplam g\u00f6zlem say\u0131s\u0131, j = sulama s\u0131kl\u0131\u011f\u0131na ili\u015fkin d\u00fczey say\u0131s\u0131, k = g\u00fcne\u015fe maruz kalma d\u00fczeyi say\u0131s\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not #2<\/strong> : F de\u011ferine kar\u015f\u0131l\u0131k gelen p de\u011ferleri <a href=\"https:\/\/statorials.org\/tr\/f-dagitim-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">, F da\u011f\u0131l\u0131m\u0131 hesaplay\u0131c\u0131s\u0131 kullan\u0131larak hesaplanm\u0131\u015ft\u0131r.<\/a><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 7: Sonu\u00e7lar\u0131 yorumlay\u0131n<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA tablosundan \u015funlar\u0131 g\u00f6zlemleyebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Sulama s\u0131kl\u0131\u011f\u0131 ile g\u00fcne\u015fe maruz kalma aras\u0131ndaki etkile\u015fimin p de\u011feri <strong>0,311<\/strong> idi. Bu, \u03b1 = 0,05&#8217;te istatistiksel olarak anlaml\u0131 de\u011fildir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Sulama s\u0131kl\u0131\u011f\u0131na ili\u015fkin p de\u011feri <strong>0,975&#8217;tir<\/strong> . Bu, \u03b1 = 0,05&#8217;te istatistiksel olarak anlaml\u0131 de\u011fildir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">G\u00fcne\u015fe maruz kalman\u0131n p de\u011feri <strong>&lt;0,000<\/strong> idi. Bu, \u03b1 = 0,05&#8217;te istatistiksel olarak anlaml\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu sonu\u00e7lar, bitki boyu \u00fczerinde istatistiksel olarak anlaml\u0131 etkiye sahip tek fakt\u00f6r\u00fcn g\u00fcne\u015fe maruz kalma oldu\u011funu g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Etkile\u015fim etkisi olmad\u0131\u011f\u0131ndan g\u00fcne\u015fe maruz kalman\u0131n etkisi, sulama s\u0131kl\u0131\u011f\u0131n\u0131n her seviyesinde tutarl\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Basit\u00e7e s\u00f6ylemek gerekirse, bir bitkinin g\u00fcnl\u00fck veya haftal\u0131k olarak sulanmas\u0131n\u0131n, g\u00fcne\u015fe maruz kalman\u0131n bitkiyi nas\u0131l etkiledi\u011fi \u00fczerinde hi\u00e7bir etkisi yoktur.<\/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\u011fitimler ANOVA&#8217;lar hakk\u0131nda ek bilgi sa\u011flar:<\/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\/anova-elle-tekrarlanan-olcumler\/\" target=\"_blank\" rel=\"noopener\">Tekrarlanan \u00d6l\u00e7\u00fcmlerin Manuel Olarak Ger\u00e7ekle\u015ftirilmesi ANOVA<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/cift-yonlu-anova-sonuclari-nasil-raporlanir\/\" target=\"_blank\" rel=\"noopener\">Tam K\u0131lavuz: \u0130ki Y\u00f6nl\u00fc ANOVA Sonu\u00e7lar\u0131 Nas\u0131l Raporlan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki fakt\u00f6re b\u00f6l\u00fcnm\u00fc\u015f \u00fc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in iki y\u00f6nl\u00fc ANOVA kullan\u0131l\u0131r. Bu e\u011fitimde iki y\u00f6nl\u00fc ANOVA&#8217;n\u0131n manuel olarak nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r. \u00d6rnek: Manuel iki y\u00f6nl\u00fc ANOVA Bir botanik\u00e7inin bitki b\u00fcy\u00fcmesinin g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131na maruz kalma ve sulama s\u0131kl\u0131\u011f\u0131ndan etkilenip etkilenmedi\u011fini bilmek istedi\u011fini varsayal\u0131m. [&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-2479","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>\u0130ki Y\u00f6nl\u00fc ANOVA&#039;n\u0131n Manuel Olarak Ger\u00e7ekle\u015ftirilmesi - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnekle iki y\u00f6nl\u00fc ANOVA&#039;n\u0131n manuel olarak 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\/elle-cift-yonlu-anova\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0130ki Y\u00f6nl\u00fc ANOVA&#039;n\u0131n Manuel Olarak Ger\u00e7ekle\u015ftirilmesi - 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