{"id":592,"date":"2023-07-29T09:51:50","date_gmt":"2023-07-29T09:51:50","guid":{"rendered":"https:\/\/statorials.org\/tr\/benjamini-hochberg-proseduru\/"},"modified":"2023-07-29T09:51:50","modified_gmt":"2023-07-29T09:51:50","slug":"benjamini-hochberg-proseduru","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/benjamini-hochberg-proseduru\/","title":{"rendered":"Benjamini-hochberg prosed\u00fcr\u00fcne y\u00f6nelik bir rehber"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiksel bir test yapt\u0131\u011f\u0131n\u0131zda, s\u0131f\u0131r hipoteziniz do\u011fru olsa bile tamamen \u015fans eseri 0,05&#8217;ten daha d\u00fc\u015f\u00fck bir p de\u011feri elde etmeniz m\u00fcmk\u00fcnd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir bitkinin ortalama y\u00fcksekli\u011finin 10 in\u00e7ten fazla olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011finizi varsayal\u0131m. Test i\u00e7in bo\u015f ve alternatif hipotezleriniz \u015f\u00f6yle olacakt\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc = 10 in\u00e7<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> \u03bc &gt; 10 in\u00e7<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu hipotezi test etmek i\u00e7in d\u0131\u015far\u0131 \u00e7\u0131k\u0131p \u00f6l\u00e7mek \u00fczere 20 bitkiden olu\u015fan <a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener\">rastgele bir \u00f6rnek<\/a> toplayabilirsiniz. Bu bitki t\u00fcr\u00fcn\u00fcn ger\u00e7ek ortalama boyu 10 in\u00e7 olmas\u0131na ra\u011fmen, al\u0131\u015f\u0131lmad\u0131k derecede uzun 20 bitkiden olu\u015fan bir \u00f6rnek se\u00e7mi\u015f olman\u0131z m\u00fcmk\u00fcnd\u00fcr, bu da s\u0131f\u0131r hipotezini reddetmenize yol a\u00e7ar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131f\u0131r hipotezi do\u011fru olsa bile (bu bitkinin ortalama y\u00fcksekli\u011fi asl\u0131nda 10 in\u00e7ti), onu reddettiniz. \u0130statistiklerde buna &#8220;yanl\u0131\u015f ke\u015fif&#8221; diyoruz. Bir ke\u015fif yapt\u0131\u011f\u0131n\u0131z\u0131, \u201c\u00f6nemli bir sonu\u00e7\u201d elde etti\u011finizi iddia ediyorsunuz ama bu asl\u0131nda yanl\u0131\u015f.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u015eimdi ayn\u0131 anda 100 istatistiksel test \u00e7al\u0131\u015ft\u0131rd\u0131\u011f\u0131n\u0131z\u0131 hayal edin. 0,05 <a href=\"https:\/\/statorials.org\/tr\/p-degeri-ve-alfa\/\" target=\"_blank\" rel=\"noopener\">alfa d\u00fczeyi<\/a> kullan\u0131ld\u0131\u011f\u0131nda, tek bir testte yanl\u0131\u015f ke\u015fif yapma \u015fans\u0131 yaln\u0131zca %5&#8217;tir, ancak \u00e7ok say\u0131da test yapt\u0131\u011f\u0131n\u0131z i\u00e7in 100 testten yaln\u0131zca 5&#8217;inin yanl\u0131\u015f ke\u015fiflere yol a\u00e7mas\u0131n\u0131 beklersiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Modern d\u00fcnyada, teknoloji ara\u015ft\u0131rmac\u0131lar\u0131n ayn\u0131 anda y\u00fczlerce hatta binlerce istatistiksel test yapmas\u0131na olanak tan\u0131d\u0131\u011f\u0131ndan, yanl\u0131\u015f ke\u015fifler yayg\u0131n bir sorun olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin t\u0131p ara\u015ft\u0131rmac\u0131lar\u0131 ayn\u0131 anda onbinlerce gen \u00fczerinde istatistiksel testler ger\u00e7ekle\u015ftirebilmektedir. Yaln\u0131zca %5&#8217;lik bir yanl\u0131\u015f ke\u015fif oran\u0131 bile, y\u00fczlerce testin yanl\u0131\u015f ke\u015fiflerle sonu\u00e7lanabilece\u011fi anlam\u0131na geliyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yanl\u0131\u015f ke\u015fif oran\u0131n\u0131 kontrol etmenin bir yolu <strong>Benjamini-Hochberg prosed\u00fcr\u00fc ad\u0131 verilen y\u00f6ntemi kullanmakt\u0131r.<\/strong><\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Benjamini-Hochberg prosed\u00fcr\u00fc<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\"><strong>Benjamini-Hochberg prosed\u00fcr\u00fc<\/strong> \u015fu \u015fekilde \u00e7al\u0131\u015f\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1:<\/strong> T\u00fcm istatistiksel testlerinizi ger\u00e7ekle\u015ftirin ve her test i\u00e7in p de\u011ferini bulun.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2:<\/strong> Her birine bir s\u0131ra atayarak p de\u011ferlerini azalan s\u0131rada s\u0131ralay\u0131n: en k\u00fc\u00e7\u00fck de\u011ferin s\u0131ras\u0131 1&#8217;dir, sonraki en k\u00fc\u00e7\u00fck de\u011ferin s\u0131ras\u0131 2&#8217;dir, vb.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3:<\/strong> <em>(i\/m)*Q<\/em> form\u00fcl\u00fcn\u00fc kullanarak her p de\u011feri i\u00e7in kritik Benjamini-Hochberg de\u011ferini hesaplay\u0131n<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>i<\/em> = p de\u011ferinin s\u0131ras\u0131<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>m<\/em> = toplam test say\u0131s\u0131<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>Q<\/em> = se\u00e7ti\u011finiz yanl\u0131\u015f ke\u015fif oran\u0131<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Kritik de\u011ferden k\u00fc\u00e7\u00fck en b\u00fcy\u00fck p de\u011ferini bulun. Bu p de\u011ferinden k\u00fc\u00e7\u00fck olan her p de\u011ferini anlaml\u0131 olarak belirleyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, bu prosed\u00fcr\u00fcn somut de\u011ferlerle nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6stermektedir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Diyelim ki ara\u015ft\u0131rmac\u0131lar 20 farkl\u0131 de\u011fi\u015fkenin kalp hastal\u0131\u011f\u0131yla ili\u015fkili olup olmad\u0131\u011f\u0131n\u0131 belirlemek istiyor. Ayn\u0131 anda 20 ayr\u0131 istatistiksel test ger\u00e7ekle\u015ftiriyorlar ve her test i\u00e7in bir p de\u011feri al\u0131yorlar. A\u015fa\u011f\u0131daki tabloda her test i\u00e7in azalan s\u0131rada listelenen p de\u011ferleri g\u00f6sterilmektedir.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5431 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hochberg1-1.png\" alt=\"Benjamini-Hochberg prosed\u00fcr\u00fcn\u00fcn \u00f6rne\u011fi\" width=\"242\" height=\"444\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ara\u015ft\u0131rmac\u0131lar\u0131n %20&#8217;lik yanl\u0131\u015f ke\u015fif oran\u0131n\u0131 kabul etmeye istekli olduklar\u0131n\u0131 varsayal\u0131m. Dolay\u0131s\u0131yla, her p de\u011feri i\u00e7in kritik Benjamini-Hochberg de\u011ferini hesaplamak amac\u0131yla a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz: (i\/20)*0,2 burada <em>i<\/em> = p de\u011ferinin s\u0131ras\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tablo her bir p de\u011feri i\u00e7in kritik Benjamini-Hochberg de\u011ferini g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5432 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hochberg2-1.png\" alt=\"\u00d6rnek Benjamini-Hochberg veri k\u00fcmesi\" width=\"288\" height=\"403\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Benjamini-Hochberg kritik de\u011ferinin alt\u0131nda en b\u00fcy\u00fck p de\u011ferine sahip test #11 de\u011fi\u015fkenidir; p de\u011feri 0,039 ve BH kritik de\u011feri 0,040&#8217;t\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla bu test ve p de\u011feri daha k\u00fc\u00e7\u00fck olan t\u00fcm testler anlaml\u0131 kabul edilecektir.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5433 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hochberg3.png\" alt=\"Bejamini-Hochberg prosed\u00fcr\u00fc \u00f6rne\u011fi\" width=\"341\" height=\"382\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">De\u011fi\u015fken #17 ve #3&#8217;\u00fcn BH kritik de\u011ferlerinden daha k\u00fc\u00e7\u00fck p de\u011ferleri olmamas\u0131na ra\u011fmen, #11 de\u011fi\u015fkeninden daha k\u00fc\u00e7\u00fck p de\u011ferlerine sahip olmalar\u0131 nedeniyle yine de anlaml\u0131 kabul edildiklerine dikkat edin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Yanl\u0131\u015f ke\u015fif oran\u0131 nas\u0131l se\u00e7ilir<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Benjamini-Hochberg prosed\u00fcr\u00fcndeki en \u00f6nemli ad\u0131mlardan biri yanl\u0131\u015f ke\u015fif oran\u0131n\u0131n se\u00e7ilmesidir. Veri toplamadan veya istatistiksel testler yapmadan \u00f6nce yanl\u0131\u015f ke\u015fif oran\u0131n\u0131z\u0131 se\u00e7melisiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tipik olarak, analizinizin ke\u015fif a\u015famas\u0131 s\u0131ras\u0131nda \u00e7ok say\u0131da istatistiksel test ger\u00e7ekle\u015ftireceksiniz ve daha sonra sonu\u00e7lar\u0131n\u0131z\u0131 daha fazla ara\u015ft\u0131rmak i\u00e7in bunlar\u0131 di\u011fer testlerle takip edeceksiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Takip testi ucuzsa, daha y\u00fcksek bir yanl\u0131\u015f ke\u015fif oran\u0131 ayarlamay\u0131 d\u00fc\u015f\u00fcnebilirsiniz; \u00e7\u00fcnk\u00fc birka\u00e7 yanl\u0131\u015f ke\u015fif yapsan\u0131z bile, sonraki testlerde muhtemelen bu yanl\u0131\u015f ke\u015fifleri ke\u015ffedeceksiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ayr\u0131ca \u00f6nemli bir ke\u015ffi ka\u00e7\u0131rman\u0131n maliyeti y\u00fcksekse, \u00f6nemli hi\u00e7bir \u015feyi ka\u00e7\u0131rmamak i\u00e7in yanl\u0131\u015f ke\u015fif oran\u0131n\u0131z\u0131 art\u0131rmak isteyebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ara\u015ft\u0131rman\u0131z\u0131n maliyetine ve \u00f6nemli bulgular\u0131 ka\u00e7\u0131rmaman\u0131n \u00f6nemine ba\u011fl\u0131 olarak yanl\u0131\u015f ke\u015fif oran\u0131 durumdan duruma de\u011fi\u015fecektir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/p-degerleri-istatistiksel-anlamlilik\/\" target=\"_blank\" rel=\"noopener\">P de\u011ferlerinin ve istatistiksel anlaml\u0131l\u0131\u011f\u0131n a\u00e7\u0131klamas\u0131<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/aile-hata-orani\/\" target=\"_blank\" rel=\"noopener\">Aile ba\u015f\u0131na hata oran\u0131 nedir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiksel bir test yapt\u0131\u011f\u0131n\u0131zda, s\u0131f\u0131r hipoteziniz do\u011fru olsa bile tamamen \u015fans eseri 0,05&#8217;ten daha d\u00fc\u015f\u00fck bir p de\u011feri elde etmeniz m\u00fcmk\u00fcnd\u00fcr. \u00d6rne\u011fin, belirli bir bitkinin ortalama y\u00fcksekli\u011finin 10 in\u00e7ten fazla olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011finizi varsayal\u0131m. Test i\u00e7in bo\u015f ve alternatif hipotezleriniz \u015f\u00f6yle olacakt\u0131r: H 0 : \u03bc = 10 in\u00e7 H A : \u03bc &gt; [&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-592","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>Benjamini-Hochberg Prosed\u00fcr\u00fc Rehberi - Statorials<\/title>\n<meta name=\"description\" content=\"Benjamini-Hochberg prosed\u00fcr\u00fcn\u00fcn resmi bir tan\u0131m ve bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klamas\u0131.\" \/>\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\/benjamini-hochberg-proseduru\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Benjamini-Hochberg Prosed\u00fcr\u00fc Rehberi - Statorials\" \/>\n<meta property=\"og:description\" content=\"Benjamini-Hochberg prosed\u00fcr\u00fcn\u00fcn resmi bir tan\u0131m ve bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klamas\u0131.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/benjamini-hochberg-proseduru\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T09:51:50+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hochberg1-1.png\" \/>\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=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/benjamini-hochberg-proseduru\/\",\"url\":\"https:\/\/statorials.org\/tr\/benjamini-hochberg-proseduru\/\",\"name\":\"Benjamini-Hochberg Prosed\u00fcr\u00fc Rehberi - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T09:51:50+00:00\",\"dateModified\":\"2023-07-29T09:51:50+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Benjamini-Hochberg prosed\u00fcr\u00fcn\u00fcn resmi bir tan\u0131m ve bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klamas\u0131.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/benjamini-hochberg-proseduru\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/benjamini-hochberg-proseduru\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/benjamini-hochberg-proseduru\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Benjamini-hochberg prosed\u00fcr\u00fcne y\u00f6nelik bir rehber\"}]},{\"@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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