{"id":1454,"date":"2023-07-26T08:06:29","date_gmt":"2023-07-26T08:06:29","guid":{"rendered":"https:\/\/statorials.org\/tr\/bonferroni-duzeltmesi\/"},"modified":"2023-07-26T08:06:29","modified_gmt":"2023-07-26T08:06:29","slug":"bonferroni-duzeltmesi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/bonferroni-duzeltmesi\/","title":{"rendered":"Bonferroni d\u00fczeltmesi: tan\u0131m ve \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Ne zaman hipotez testi yapsan\u0131z<\/span> <span style=\"color: #000000;\">, her zaman Tip I hata yapma riski vard\u0131r. Bu, ger\u00e7ekte do\u011fruyken s\u0131f\u0131r hipotezini reddetti\u011finiz zamand\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bazen buna &#8220;yanl\u0131\u015f pozitif&#8221; diyoruz; istatistiksel olarak anlaml\u0131 bir etki oldu\u011funu iddia etti\u011fimizde ger\u00e7ekte b\u00f6yle bir etki yok.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hipotez testi yapt\u0131\u011f\u0131m\u0131zda Tip I hata oran\u0131 genellikle 0,01, 0,05 veya 0,10 olarak se\u00e7ilen anlaml\u0131l\u0131k d\u00fczeyine (\u03b1) e\u015fittir. Ancak birden fazla hipotez testini ayn\u0131 anda \u00e7al\u0131\u015ft\u0131rd\u0131\u011f\u0131m\u0131zda yanl\u0131\u015f pozitif sonu\u00e7 alma olas\u0131l\u0131\u011f\u0131 artar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ayn\u0131 anda birden fazla hipotez testini \u00e7al\u0131\u015ft\u0131rd\u0131\u011f\u0131m\u0131zda, <strong>aile baz\u0131nda hata oran\u0131<\/strong> denilen \u015feyle, yani testlerden en az birinin yanl\u0131\u015f pozitif sonu\u00e7 verme olas\u0131l\u0131\u011f\u0131yla u\u011fra\u015fmak zorunday\u0131z. Bu \u015fu \u015fekilde hesaplanabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Aile ba\u015f\u0131na hata oran\u0131 = 1 \u2013 (1-\u03b1) <sup>n<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03b1:<\/strong> tek bir hipotez testinin anlaml\u0131l\u0131k d\u00fczeyi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> Toplam test say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u03b1 = 0,05&#8217;i kullanarak tek bir hipotez testi yaparsak, Tip I hata yapma olas\u0131l\u0131\u011f\u0131m\u0131z yaln\u0131zca 0,05 olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Aile ba\u015f\u0131na hata oran\u0131 = 1 \u2013 (1-\u03b1) <sup>c<\/sup> = 1 \u2013 (1-.05) <sup>1<\/sup> = <strong>0,05<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki hipotez testini ayn\u0131 anda yaparsak ve her test i\u00e7in \u03b1 = 0,05 kullan\u0131rsak, Tip I hata yapma olas\u0131l\u0131\u011f\u0131m\u0131z 0,0975&#8217;e \u00e7\u0131kar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Aile ba\u015f\u0131na hata oran\u0131 = 1 \u2013 (1-\u03b1) <sup>c<\/sup> = 1 \u2013 (1-.05) <sup>2<\/sup> = <strong>0,0975<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ve e\u011fer her test i\u00e7in \u03b1 = 0,05 de\u011ferini kullanarak be\u015f hipotez testini ayn\u0131 anda y\u00fcr\u00fct\u00fcrsek, Tip I hata yapma olas\u0131l\u0131\u011f\u0131m\u0131z 0,2262&#8217;ye y\u00fckselir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Aile ba\u015f\u0131na hata oran\u0131 = 1 \u2013 (1-\u03b1) <sup>c<\/sup> = 1 \u2013 (1-.05) <sup>5<\/sup> = <strong>0,2262<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130statistiksel testlerin say\u0131s\u0131n\u0131 art\u0131rd\u0131k\u00e7a testlerden en az birinde Tip I hata yapma olas\u0131l\u0131\u011f\u0131n\u0131n h\u0131zla artt\u0131\u011f\u0131n\u0131 g\u00f6rmek kolayd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu sorunu \u00e7\u00f6zmenin bir yolu Bonferroni d\u00fczeltmesini kullanmakt\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bonferroni d\u00fczeltmesi nedir?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Bonferroni d\u00fczeltmesi,<\/strong> Tip I hata yapma olas\u0131l\u0131\u011f\u0131n\u0131 kontrol etmek amac\u0131yla bir dizi istatistiksel test i\u00e7in alfa (\u03b1) d\u00fczeyinin ayarlanmas\u0131 s\u00fcrecini ifade eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bonferroni d\u00fczeltmesinin form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u03b1 <sub>yeni<\/sub><\/strong> = \u03b1 <sub>orijinal<\/sub> \/ n<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><sub>orijinal<\/sub> \u03b1: Orijinal \u03b1 d\u00fczeyi<\/span><\/li>\n<li> <span style=\"color: #000000;\">n: Ger\u00e7ekle\u015ftirilen kar\u015f\u0131la\u015ft\u0131rma veya testlerin toplam say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, ayn\u0131 anda \u00fc\u00e7 istatistiksel test y\u00fcr\u00fct\u00fcyorsak ve her test i\u00e7in \u03b1 = 0,05 kullanmak istiyorsak, Bonferroni d\u00fczeltmesi bize \u03b1 <sub>new<\/sub> = <strong>0,01667<\/strong> kullanmam\u0131z gerekti\u011fini s\u00f6yler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03b1 <sub>yeni<\/sub> = \u03b1 <sub>orijinal<\/sub> \/ n = 0,05 \/ 3 = 0,01667<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle, her bir testin s\u0131f\u0131r hipotezini yaln\u0131zca testin p de\u011feri 0,01667&#8217;den k\u00fc\u00e7\u00fckse reddetmeliyiz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bonferroni d\u00fczeltmesi: bir \u00f6rnek<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir profes\u00f6r\u00fcn, \u00fc\u00e7 farkl\u0131 \u00e7al\u0131\u015fma tekni\u011finin \u00f6\u011frenciler aras\u0131nda farkl\u0131 test puanlar\u0131na yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fini varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in, her \u00e7al\u0131\u015fma tekni\u011fini kullanmak \u00fczere rastgele 30 \u00f6\u011frenciyi g\u00f6revlendiriyor. Bir hafta kendilerine verilen \u00e7al\u0131\u015fma tekni\u011fini kulland\u0131ktan sonra her \u00f6\u011frenci ayn\u0131 s\u0131nava girer.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">tek y\u00f6nl\u00fc bir ANOVA<\/a> ger\u00e7ekle\u015ftirir ve genel p de\u011ferinin <strong>0,0476<\/strong> oldu\u011funu bulur. Bu rakam 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fu i\u00e7in tek y\u00f6nl\u00fc ANOVA&#8217;n\u0131n s\u0131f\u0131r hipotezini reddediyor ve her \u00e7al\u0131\u015fma tekni\u011finin ayn\u0131 ortalama s\u0131nav puan\u0131n\u0131 \u00fcretmedi\u011fi sonucuna var\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>Hangi<\/em> \u00e7al\u0131\u015fma tekniklerinin istatistiksel olarak anlaml\u0131 puanlar \u00fcretti\u011fini bulmak i\u00e7in a\u015fa\u011f\u0131daki ikili t testlerini ger\u00e7ekle\u015ftirir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Teknik 1 ve Teknik 2<\/span><\/li>\n<li> <span style=\"color: #000000;\">Teknik 1 ve Teknik 3 kar\u015f\u0131la\u015ft\u0131rmas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\">Teknik 2 ve Teknik 3<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u03b1 = 0,05&#8217;te I. tip hata yapma olas\u0131l\u0131\u011f\u0131n\u0131 kontrol etmek istiyor. Ayn\u0131 anda birden fazla test yapt\u0131\u011f\u0131 i\u00e7in Bonferroni d\u00fczeltmesi uygulamaya ve<\/span> <span style=\"color: #000000;\">\u03b1 <sub>new<\/sub> = <strong>.01667<\/strong> kullanmaya karar verir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>yeni<\/sub> \u03b1 = <sub>orijinal<\/sub> \u03b1 \/ n = 0,05 \/ 3 = 0,01667<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra her grup i\u00e7in T testleri yapar ve a\u015fa\u011f\u0131dakileri bulur:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Teknik 1 ve Teknik 2 Kar\u015f\u0131la\u015ft\u0131rmas\u0131 | p-de\u011feri = 0,0463<\/span><\/li>\n<li> <span style=\"color: #000000;\">Teknik 1 ve Teknik 3 Kar\u015f\u0131la\u015ft\u0131rmas\u0131 | p-de\u011feri = 0,3785<\/span><\/li>\n<li> <span style=\"color: #000000;\">Teknik 2 ve Teknik 3 | p-de\u011feri = 0,0114<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Teknik 2&#8217;ye kar\u015f\u0131 teknik 3&#8217;\u00fcn p de\u011feri 0,01667&#8217;den k\u00fc\u00e7\u00fck tek p de\u011feri oldu\u011fundan, teknik 2 ile teknik 3 aras\u0131nda yaln\u0131zca istatistiksel olarak anlaml\u0131 bir fark oldu\u011fu sonucuna var\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> Bonferroni D\u00fczeltme Hesaplay\u0131c\u0131s\u0131<br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-bonferroni-duzeltmesi\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de Bonferroni d\u00fczeltmesi nas\u0131l yap\u0131l\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ne zaman hipotez testi yapsan\u0131z , her zaman Tip I hata yapma riski vard\u0131r. Bu, ger\u00e7ekte do\u011fruyken s\u0131f\u0131r hipotezini reddetti\u011finiz zamand\u0131r. Bazen buna &#8220;yanl\u0131\u015f pozitif&#8221; diyoruz; istatistiksel olarak anlaml\u0131 bir etki oldu\u011funu iddia etti\u011fimizde ger\u00e7ekte b\u00f6yle bir etki yok. Hipotez testi yapt\u0131\u011f\u0131m\u0131zda Tip I hata oran\u0131 genellikle 0,01, 0,05 veya 0,10 olarak se\u00e7ilen anlaml\u0131l\u0131k d\u00fczeyine [&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-1454","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>Bonferroni d\u00fczeltmesi: tan\u0131m ve \u00f6rnek<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir form\u00fcl ve birka\u00e7 \u00f6rnek de dahil olmak \u00fczere Bonferroni d\u00fczeltmesinin bir a\u00e7\u0131klamas\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\/bonferroni-duzeltmesi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bonferroni d\u00fczeltmesi: tan\u0131m ve \u00f6rnek\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, bir form\u00fcl ve birka\u00e7 \u00f6rnek de dahil olmak \u00fczere Bonferroni d\u00fczeltmesinin bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/bonferroni-duzeltmesi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T08:06:29+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/bonferroni-duzeltmesi\/\",\"url\":\"https:\/\/statorials.org\/tr\/bonferroni-duzeltmesi\/\",\"name\":\"Bonferroni d\u00fczeltmesi: tan\u0131m ve \u00f6rnek\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-26T08:06:29+00:00\",\"dateModified\":\"2023-07-26T08:06:29+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, bir form\u00fcl ve birka\u00e7 \u00f6rnek de dahil olmak \u00fczere Bonferroni d\u00fczeltmesinin bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/bonferroni-duzeltmesi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/bonferroni-duzeltmesi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/bonferroni-duzeltmesi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Bonferroni d\u00fczeltmesi: tan\u0131m ve \u00f6rnek\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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