{"id":3246,"date":"2023-07-18T11:58:30","date_gmt":"2023-07-18T11:58:30","guid":{"rendered":"https:\/\/statorials.org\/tr\/anova-icin-sifir-hipotezi\/"},"modified":"2023-07-18T11:58:30","modified_gmt":"2023-07-18T11:58:30","slug":"anova-icin-sifir-hipotezi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/anova-icin-sifir-hipotezi\/","title":{"rendered":"Anova modelleri i\u00e7in s\u0131f\u0131r hipotezini anlamak"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\">\u00dc\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\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">tek y\u00f6nl\u00fc ANOVA<\/a> kullan\u0131l\u0131r.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Tek y\u00f6nl\u00fc bir 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> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> = \u03bc <sub>3<\/sub> = \u2026 = \u03bc <sub>k<\/sub> (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 farkl\u0131 <sub>&nbsp;<\/sub> dinlenmek<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">S\u0131f\u0131r hipotezini reddedip reddetmememiz gerekti\u011fine karar vermek i\u00e7in ANOVA tablosu sonucundaki p de\u011ferine bakmam\u0131z gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">E\u011fer p de\u011feri belirli bir anlaml\u0131l\u0131k d\u00fczeyinin alt\u0131ndaysa (\u00f6rne\u011fin 0,05), o zaman s\u0131f\u0131r hipotezini reddedebilir ve t\u00fcm grup ortalamalar\u0131n\u0131n e\u015fit olmad\u0131\u011f\u0131 sonucuna varabiliriz.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/iki-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">\u0130ki de\u011fi\u015fkene (bazen &#8220;fakt\u00f6rler&#8221; olarak da adland\u0131r\u0131l\u0131r) atanan \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<\/a> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki y\u00f6nl\u00fc bir ANOVA ayn\u0131 anda \u00fc\u00e7 bo\u015f hipotezi test eder:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">T\u00fcm grup ortalamalar\u0131 ilk de\u011fi\u015fkenin her seviyesinde e\u015fittir<\/span><\/li>\n<li> <span style=\"color: #000000;\">T\u00fcm grup ortalamalar\u0131 ikinci de\u011fi\u015fkenin her seviyesinde e\u015fittir<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131nda etkile\u015fim etkisi yoktur<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Her s\u0131f\u0131r hipotezini reddedip reddetmememiz gerekti\u011fine karar vermek i\u00e7in iki y\u00f6nl\u00fc ANOVA tablosu sonucundaki p de\u011ferlerine bakmam\u0131z gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, tek y\u00f6nl\u00fc ANOVA ve iki y\u00f6nl\u00fc ANOVA&#8217;da s\u0131f\u0131r hipotezinin reddedilip reddedilmeyece\u011fine nas\u0131l karar verilece\u011fini g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Tek Y\u00f6nl\u00fc ANOVA<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7 farkl\u0131 s\u0131nava haz\u0131rl\u0131k program\u0131n\u0131n belirli bir s\u0131navda farkl\u0131 ortalama puanlara yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. Bunu test etmek i\u00e7in 30 \u00f6\u011frenciyi bir \u00e7al\u0131\u015fmaya kat\u0131yoruz ve onlar\u0131 \u00fc\u00e7 gruba ay\u0131r\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her gruptaki \u00f6\u011frenciler, bir s\u0131nava haz\u0131rlanmak i\u00e7in sonraki \u00fc\u00e7 hafta boyunca \u00fc\u00e7 s\u0131nav haz\u0131rl\u0131k program\u0131ndan birini kullanmak \u00fczere <a href=\"https:\/\/statorials.org\/tr\/rastgele-secim-ve-rastgele-atama\/\" target=\"_blank\" rel=\"noopener\">rastgele atan\u0131r<\/a> . \u00dc\u00e7 haftan\u0131n sonunda t\u00fcm \u00f6\u011frenciler ayn\u0131 s\u0131nava girerler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her gruba ait s\u0131nav sonu\u00e7lar\u0131 a\u015fa\u011f\u0131da g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8258 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/aller-simple2.png\" alt=\"Tek y\u00f6nl\u00fc ANOVA verilerine \u00f6rnek\" width=\"237\" height=\"246\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011ferleri <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-danova-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">one-way ANOVA hesaplay\u0131c\u0131ya<\/a> girdi\u011fimizde \u00e7\u0131kt\u0131 olarak a\u015fa\u011f\u0131daki ANOVA tablosunu al\u0131yoruz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8260 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway4.png\" alt=\"ANOVA \u00e7\u0131kt\u0131 tablosunu yorumlama\" width=\"374\" height=\"178\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">P de\u011ferinin <strong>0,11385<\/strong> oldu\u011funu unutmay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6zel \u00f6rnek i\u00e7in a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezleri kullan\u0131r\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> = \u03bc <sub>3<\/sub> (Her grubun ortalama s\u0131nav puan\u0131 e\u015fittir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> En az bir grubun ortalamas\u0131 farkl\u0131 <sub>&nbsp;<\/sub> dinlenmek<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">ANOVA tablosunun p de\u011feri 0,05&#8217;ten az olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezini reddedemiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, \u00fc\u00e7 grubun ortalama s\u0131nav puanlar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark oldu\u011funu s\u00f6yleyecek yeterli kan\u0131ta sahip olmad\u0131\u011f\u0131m\u0131z anlam\u0131na geliyor.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: \u0130ki Y\u00f6nl\u00fc ANOVA<\/strong><\/span><\/h2>\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.<\/span><\/p>\n<p> <span style=\"color: #000000;\">40 tohum ekiyor ve iki ay boyunca farkl\u0131 g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 ko\u015fullar\u0131nda ve sulama s\u0131kl\u0131\u011f\u0131nda b\u00fcy\u00fcmelerini sa\u011fl\u0131yor. \u0130ki 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;\"><a href=\"https:\/\/statorials.org\/tr\/cift-yonlu-anova-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de iki y\u00f6nl\u00fc bir ANOVA<\/a> ger\u00e7ekle\u015ftirir ve a\u015fa\u011f\u0131daki sonucu elde eder:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-27520 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anovaa.jpg\" alt=\"\" width=\"605\" height=\"159\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki y\u00f6nl\u00fc ANOVA tablosu sonucunda a\u015fa\u011f\u0131daki p de\u011ferlerini g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Sulama s\u0131kl\u0131\u011f\u0131na ili\u015fkin p de\u011feri <strong>0,975975&#8217;tir<\/strong> . Bu durum istatistiksel olarak 0,05 anlaml\u0131l\u0131k d\u00fczeyinde anlaml\u0131 de\u011fildir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">G\u00fcne\u015fe maruz kalman\u0131n p de\u011feri <strong>3,9E-8&#8217;dir (0,000000039)<\/strong> . Bu istatistiksel olarak 0,05 anlaml\u0131l\u0131k d\u00fczeyinde anlaml\u0131d\u0131r.<\/span><\/li>\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>0,310898&#8217;dir<\/strong> . Bu durum istatistiksel olarak 0,05 anlaml\u0131l\u0131k d\u00fczeyinde anlaml\u0131 de\u011fildir.<\/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;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler ANOVA modelleri hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <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><br \/> <a href=\"https:\/\/statorials.org\/tr\/anova-kareler-toplami\/\" target=\"_blank\" rel=\"noopener\">ANOVA&#8217;da karelerin toplam\u0131 nas\u0131l hesaplan\u0131r?<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/yuksek-f-degeri-ne-anlama-gelir\/\" target=\"_blank\" rel=\"noopener\">ANOVA&#8217;da y\u00fcksek F de\u011feri ne anlama gelir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00dc\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 tek y\u00f6nl\u00fc ANOVA kullan\u0131l\u0131r. Tek y\u00f6nl\u00fc bir ANOVA a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezleri kullan\u0131r: H 0 : \u03bc 1 = \u03bc 2 = \u03bc 3 = \u2026 = \u03bc k (t\u00fcm grup ortalamalar\u0131 e\u015fittir) H A : En [&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-3246","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 Modelleri i\u00e7in S\u0131f\u0131r Hipotezini Anlamak - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ANOVA modelleri i\u00e7in s\u0131f\u0131r hipotezinin birka\u00e7 \u00f6rnekle birlikte a\u00e7\u0131klanmas\u0131 sa\u011flanmaktad\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-icin-sifir-hipotezi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ANOVA Modelleri i\u00e7in S\u0131f\u0131r Hipotezini Anlamak - 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