{"id":887,"date":"2023-07-28T10:31:38","date_gmt":"2023-07-28T10:31:38","guid":{"rendered":"https:\/\/statorials.org\/tr\/tukey-kramer-post-hoc-excel-testi\/"},"modified":"2023-07-28T10:31:38","modified_gmt":"2023-07-28T10:31:38","slug":"tukey-kramer-post-hoc-excel-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/tukey-kramer-post-hoc-excel-testi\/","title":{"rendered":"Excel&#39;de tukey-kramer post hoc testi nas\u0131l ger\u00e7ekle\u015ftirilir"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><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><\/p>\n<p> <span style=\"color: #000000;\">ANOVA&#8217;da kullan\u0131lan varsay\u0131mlar a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131f\u0131r hipotezi (H <sub>0<\/sub> ): \u00b5 <sub>1<\/sub> = \u00b5 <sub>2<\/sub> = \u00b5 <sub>3<\/sub> = \u2026 = \u00b5 <sub>k<\/sub> (ortalamalar her grup i\u00e7in e\u015fittir)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alternatif hipotez: (Ha): Ara\u00e7lardan en az biri di\u011ferlerinden farkl\u0131d\u0131r<\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA&#8217;n\u0131n p de\u011feri anlaml\u0131l\u0131k seviyesinin alt\u0131ndaysa s\u0131f\u0131r hipotezini reddedebilir ve grup ortalamalar\u0131ndan en az birinin di\u011ferlerinden farkl\u0131 oldu\u011funu s\u00f6ylemek i\u00e7in yeterli kan\u0131t\u0131m\u0131z oldu\u011fu sonucuna varabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak bu bize <em>hangi<\/em> gruplar\u0131n birbirinden farkl\u0131 oldu\u011funu s\u00f6ylemez. Bu bize basit\u00e7e t\u00fcm grup ortalamalar\u0131n\u0131n e\u015fit olmad\u0131\u011f\u0131n\u0131 s\u00f6yler. Hangi gruplar\u0131n birbirinden farkl\u0131 oldu\u011funu tam olarak bilmek i\u00e7in post hoc test yapmam\u0131z gerekiyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">En yayg\u0131n kullan\u0131lan post hoc testi, gruplar\u0131n her ikili kombinasyonu aras\u0131ndaki ortalamay\u0131 kar\u015f\u0131la\u015ft\u0131ran <strong>Tukey-Kramer testidir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, Excel&#8217;de Tukey-Kramer testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Excel&#8217;de Tukey-Kramer testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Diyelim ki \u00fc\u00e7 grup \u00fczerinde tek y\u00f6nl\u00fc bir ANOVA ger\u00e7ekle\u015ftiriyoruz: A, B ve C. Tek y\u00f6nl\u00fc ANOVA&#8217;n\u0131n sonu\u00e7lar\u0131 a\u015fa\u011f\u0131da g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9546 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tukeyexcel1.png\" alt=\"Excel'de tek y\u00f6nl\u00fc ANOVA tablo \u00e7\u0131kt\u0131s\u0131\" width=\"623\" height=\"360\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Tek Y\u00f6nl\u00fc ANOVA Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA tablosunun p de\u011feri <strong>0,000588&#8217;dir<\/strong> . Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddedebilir ve \u00fc\u00e7 grup aras\u0131ndaki ortalamalar\u0131n e\u015fit <em>olmad\u0131\u011f\u0131<\/em> sonucuna varabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tam olarak <em>hangi<\/em> grup ortalamalar\u0131n\u0131n farkl\u0131 oldu\u011funu belirlemek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanarak bir Tukey-Kramer post hoc testi yapabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1:<\/strong> <strong>Her grup aras\u0131ndaki mutlak ortalama fark\u0131 bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak, ANOVA sonucunun ilk tablosunda listelenen ortalamalar\u0131 kullanarak her grup aras\u0131ndaki mutlak ortalama fark\u0131 bulaca\u011f\u0131z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9548 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tukeyexcel2.png\" alt=\"Excel'de tek y\u00f6nl\u00fc ANOVA \u00e7\u0131kt\u0131s\u0131\" width=\"478\" height=\"383\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Q&#8217;nun kritik de\u011ferini bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak Q&#8217;nun kritik de\u011ferini bulmam\u0131z gerekiyor:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kritik de\u011fer Q = Q*\u221a(s <sup>2<\/sup> <sub>grupland\u0131r\u0131lm\u0131\u015f<\/sub> \/ n.)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Q<\/strong> = \u00d6\u011frenci Tablosu Q aral\u0131\u011f\u0131n\u0131n de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s <sup>2<\/sup> <sub>havuzlanm\u0131\u015f<\/sub> =<\/strong> t\u00fcm gruplarda havuzlanm\u0131\u015f varyans<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Olumsuz.<\/strong> = Belirli bir grup i\u00e7in \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Q de\u011ferini bulmak i\u00e7in \u015funa benzeyen \u00d6\u011frencile\u015ftirilmi\u015f aral\u0131k Q tablosuna ba\u015fvurabilirsiniz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9549 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tukeyexcel3.png\" alt=\"Q Standartla\u015ft\u0131r\u0131lm\u0131\u015f aral\u0131klar tablosu\" width=\"318\" height=\"358\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fimizde k = grup say\u0131s\u0131 yani k = 3. Serbestlik dereceleri \u015fu \u015fekilde hesaplan\u0131r: nk = 30 \u2013 3 = 27. Yukar\u0131daki tabloda 27 g\u00f6sterilmedi\u011finden 24 gibi ihtiyatl\u0131 bir tahmin kullanabiliriz. k = 3 ve df = 24&#8217;e dayanarak Q = <strong>3,53&#8217;\u00fc<\/strong> buluruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Havuzlanm\u0131\u015f varyans, gruplar\u0131n varyanslar\u0131n\u0131n ortalamas\u0131 olarak hesaplanabilir ve bu da <strong>19.056<\/strong> olarak ortaya \u00e7\u0131kar.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9550 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tukeyexcel4.png\" alt=\"\" width=\"588\" height=\"355\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Son olarak her grubun \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc 10&#8217;dur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">B\u00f6ylece kritik de\u011ferimiz Q \u015fu \u015fekilde hesaplanabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kritik de\u011fer Q = Q*\u221a(s <sup>2<\/sup> <sub>grupland\u0131r\u0131lm\u0131\u015f<\/sub> \/ n.) = 3,53*\u221a(19,056\/10) = <strong>4,87<\/strong> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9551 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tukeyexcel5.png\" alt=\"\" width=\"555\" height=\"379\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Hangi grup ortalamalar\u0131n\u0131n farkl\u0131 oldu\u011funu belirleyin<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Son olarak, her grup aras\u0131ndaki mutlak ortalama fark\u0131n\u0131 kritik Q de\u011feriyle kar\u015f\u0131la\u015ft\u0131rabiliriz. E\u011fer mutlak ortalama fark, Q kritik de\u011ferinden b\u00fcy\u00fckse, grup ortalamalar\u0131 aras\u0131ndaki fark istatistiksel olarak anlaml\u0131d\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9552 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tukeyexcel6.png\" alt=\"Excel'de Tukey testi\" width=\"560\" height=\"381\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Tukey-Kramer post hoc testine dayanarak a\u015fa\u011f\u0131dakileri bulduk:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">A grubu ile B grubu aras\u0131ndaki ortalamalar aras\u0131ndaki fark istatistiksel olarak anlaml\u0131d\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">B grubu ile C grubu aras\u0131ndaki ortalamalar aras\u0131ndaki fark istatistiksel olarak anlaml\u0131 <em>de\u011fildir<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">A grubu ile C grubu aras\u0131ndaki ortalamalar aras\u0131ndaki fark istatistiksel olarak anlaml\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<h3> <strong>Ek kaynaklar<\/strong><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Tek Y\u00f6nl\u00fc ANOVA Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/post-hoc-anova-testleri\/\" target=\"_blank\" rel=\"noopener\">ANOVA ile Post-Hoc Testini Kullanma K\u0131lavuzu<\/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. ANOVA&#8217;da kullan\u0131lan varsay\u0131mlar a\u015fa\u011f\u0131daki gibidir: S\u0131f\u0131r hipotezi (H 0 ): \u00b5 1 = \u00b5 2 = \u00b5 3 = \u2026 = \u00b5 k (ortalamalar her grup i\u00e7in e\u015fittir) Alternatif hipotez: (Ha): Ara\u00e7lardan en az [&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-887","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>Excel&#039;de Tukey-Kramer Post Hoc Testi Nas\u0131l Yap\u0131l\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Tek y\u00f6nl\u00fc bir ANOVA&#039;dan sonra Excel&#039;de Tukey-Kramer post hoc testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin basit bir a\u00e7\u0131klama.\" \/>\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\/tukey-kramer-post-hoc-excel-testi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Excel&#039;de Tukey-Kramer Post Hoc Testi Nas\u0131l Yap\u0131l\u0131r - 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