{"id":1285,"date":"2023-07-27T00:38:59","date_gmt":"2023-07-27T00:38:59","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-kahverengi-forsythe-testi\/"},"modified":"2023-07-27T00:38:59","modified_gmt":"2023-07-27T00:38:59","slug":"rde-kahverengi-forsythe-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-kahverengi-forsythe-testi\/","title":{"rendered":"R&#39;de brown \u2013 forsythe testi: ad\u0131m ad\u0131m \u00f6rnek"},"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 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;\">Tek y\u00f6nl\u00fc ANOVA&#8217;n\u0131n <a href=\"https:\/\/statorials.org\/tr\/danova-hipotezleri\/\" target=\"_blank\" rel=\"noopener\">varsay\u0131mlar\u0131ndan<\/a> biri, <a href=\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\" target=\"_blank\" rel=\"noopener\">\u00f6rneklerin<\/a> al\u0131nd\u0131\u011f\u0131 pop\u00fclasyonlar\u0131n varyanslar\u0131n\u0131n e\u015fit olmas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmenin en yayg\u0131n yollar\u0131ndan biri, a\u015fa\u011f\u0131daki <a href=\"https:\/\/statorials.org\/tr\/hipotez-testi-1\/\" target=\"_blank\" rel=\"noopener\">varsay\u0131mlar\u0131<\/a> kullanan istatistiksel bir test olan <strong>Brown-Forsythe testini<\/strong> kullanmakt\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> Pop\u00fclasyonlar aras\u0131ndaki varyanslar e\u015fittir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : Pop\u00fclasyonlar aras\u0131ndaki farklar e\u015fit de\u011fildir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Testin <a href=\"https:\/\/statorials.org\/tr\/p-degerleri-istatistiksel-anlamlilik\/\" target=\"_blank\" rel=\"noopener\">p de\u011feri<\/a> belirli bir anlaml\u0131l\u0131k d\u00fczeyinin alt\u0131ndaysa (\u00f6rne\u011fin \u03b1 = 0,05), o zaman bo\u015f hipotezi reddederiz ve varyanslar\u0131n farkl\u0131 pop\u00fclasyonlar aras\u0131nda e\u015fit olmad\u0131\u011f\u0131 sonucuna var\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde R&#8217;de Brown-Forsythe testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin ad\u0131m ad\u0131m bir \u00f6rnek sunulmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Verileri girin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7 farkl\u0131 egzersiz program\u0131n\u0131n farkl\u0131 d\u00fczeylerde kilo kayb\u0131na yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in 90 ki\u015fiyi i\u015fe al\u0131yoruz ve her program\u0131 kullanmas\u0131 i\u00e7in rastgele 30 ki\u015fiyi g\u00f6revlendiriyoruz. Daha sonra her ki\u015finin bir ay sonraki kilo kayb\u0131n\u0131 \u00f6l\u00e7\u00fcyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki veri seti, her programda kaybedilen kilo miktar\u0131na ili\u015fkin bilgiler i\u00e7erir:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>set.seed(0)\n\n<span style=\"color: #008080;\">#create data frame\n<\/span>data &lt;- data.frame(program = <span style=\"color: #3366ff;\">as<\/span> . <span style=\"color: #3366ff;\">factor<\/span> ( <span style=\"color: #3366ff;\">rep<\/span> (c(\" <span style=\"color: #008000;\">A<\/span> \", \" <span style=\"color: #008000;\">B<\/span> \", \" <span style=\"color: #008000;\">C<\/span> \"), <span style=\"color: #3366ff;\">each<\/span> = 30)),\n                   weight_loss = c( <span style=\"color: #3366ff;\">runif<\/span> (30, 0, 3),\n                                   <span style=\"color: #3366ff;\">runif<\/span> (30, 0, 5),\n                                   <span style=\"color: #3366ff;\">runif<\/span> (30, 1, 7)))\n\n<span style=\"color: #008080;\">#view first six rows of data frame\n<\/span>head(data)\n\n# program weight_loss\n#1 A 2.6900916\n#2 A 0.7965260\n#3 A 1.1163717\n#4 A 1.7185601\n#5 A 2.7246234\n#6 A 0.6050458<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Verileri \u00f6zetleyin ve g\u00f6rselle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Brown-Forsythe testini ger\u00e7ekle\u015ftirmeden \u00f6nce, her grup i\u00e7in kilo kayb\u0131ndaki varyans\u0131 g\u00f6rselle\u015ftirmek i\u00e7in kutu grafikleri olu\u015fturabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>boxplot(weight_loss ~ program, data = data)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12614 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/test1.png\" alt=\"\" width=\"437\" height=\"395\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ayr\u0131ca her gruptaki kilo kayb\u0131n\u0131n varyans\u0131n\u0131 da hesaplayabiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load dplyr package<\/span>\n<span style=\"color: #993300;\">library<\/span> (dplyr)\n\n<span style=\"color: #008080;\">#calculate variance of weight loss by group\n<\/span>data %&gt;%\n<span style=\"color: #3366ff;\">group_by<\/span> (program) %&gt;%\n  <span style=\"color: #3366ff;\">summarize<\/span> (var=var(weight_loss))\n\n# A tibble: 3 x 2\n  program var\n     \n1 A 0.819\n2 B 1.53 \n3 C 2.46<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Gruplar aras\u0131 varyanslar\u0131n farkl\u0131 oldu\u011funu g\u00f6rebiliriz ancak bu farkl\u0131l\u0131klar\u0131n<a href=\"https:\/\/statorials.org\/tr\/pratik-istatistiksel-anlamlilik\/\" target=\"_blank\" rel=\"noopener\">istatistiksel olarak anlaml\u0131<\/a> olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in Brown-Forsythe testini yapabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Brown-Forsythe testini ger\u00e7ekle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R&#8217;de Brown-Forsythe testi ger\u00e7ekle\u015ftirmek i\u00e7in <a href=\"https:\/\/www.rdocumentation.org\/packages\/onewaytests\/versions\/2.4\/topics\/bf.test\" target=\"_blank\" rel=\"noopener\">onewaytests<\/a> paketindeki <strong>bf.test()<\/strong> i\u015flevini kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load onewaytests package<\/span>\n<span style=\"color: #993300;\">library<\/span> (onewaytests)\n\n<span style=\"color: #008080;\">#perform Brown-Forsythe test<\/span>\nbf.test(weight_loss ~ program, data = data)\n\n  Brown-Forsythe Test (alpha = 0.05) \n-------------------------------------------------- ----------- \n  data: weight_loss and program \n\n  statistic: 30.83304 \n  num df: 2 \n  name df: 74.0272 \n  p.value: 1.816529e-10 \n\n  Result: Difference is statistically significant. \n-------------------------------------------------- -----------<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Testin p de\u011feri 0,000&#8217;den k\u00fc\u00e7\u00fck \u00e7\u0131k\u0131yor ve sonucun da g\u00f6sterdi\u011fi gibi, \u00fc\u00e7 grup aras\u0131ndaki varyans farkl\u0131l\u0131klar\u0131 istatistiksel olarak anlaml\u0131.<\/span><\/p>\n<h3> <strong>Sonraki ad\u0131mlar<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Brown-Forsythe testinin s\u0131f\u0131r hipotezini reddedemiyorsan\u0131z veriler \u00fczerinde tek y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak s\u0131f\u0131r hipotezinin reddedilmesi varyanslar\u0131n e\u015fitli\u011fi varsay\u0131m\u0131n\u0131n ihlal edildi\u011fi anlam\u0131na gelir. Bu durumda iki se\u00e7ene\u011finiz var:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Yine de tek y\u00f6nl\u00fc bir ANOVA yap\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">En b\u00fcy\u00fck varyans en k\u00fc\u00e7\u00fck varyans\u0131n 4 kat\u0131ndan b\u00fcy\u00fck olmad\u0131\u011f\u0131 s\u00fcrece tek y\u00f6nl\u00fc bir ANOVA&#8217;n\u0131n asl\u0131nda e\u015fit olmayan varyanslara kar\u015f\u0131 dayan\u0131kl\u0131 oldu\u011fu ortaya \u00e7\u0131kt\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yukar\u0131daki \u00f6rne\u011fin 2. ad\u0131m\u0131nda en k\u00fc\u00e7\u00fck varyans\u0131n 0,819, en b\u00fcy\u00fck varyans\u0131n ise 2,46 oldu\u011funu bulduk. Yani en b\u00fcy\u00fck varyans\u0131n en k\u00fc\u00e7\u00fc\u011f\u00fcne oran\u0131 2,46 \/ 0,819 = <strong>3,003&#8217;t\u00fcr<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011fer 4&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan tek y\u00f6nl\u00fc ANOVA&#8217;y\u0131 yapabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Kruskal-Wallis testi yap\u0131n<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">En b\u00fcy\u00fck varyans\u0131n en k\u00fc\u00e7\u00fck varyansa oran\u0131 4&#8217;ten b\u00fcy\u00fckse bunun yerine <a href=\"https:\/\/statorials.org\/tr\/kruskal-wallis-testi\/\" target=\"_blank\" rel=\"noopener\">Kruskal-Wallis testi<\/a> yap\u0131labilir. Bu, tek y\u00f6nl\u00fc ANOVA&#8217;n\u0131n parametrik olmayan e\u015fde\u011feri olarak kabul edilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">R&#8217;de Kruskal-Wallis testinin ad\u0131m ad\u0131m \u00f6rne\u011fini burada bulabilirsiniz.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00dc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131 aras\u0131nda 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 ANOVA&#8217;n\u0131n varsay\u0131mlar\u0131ndan biri, \u00f6rneklerin al\u0131nd\u0131\u011f\u0131 pop\u00fclasyonlar\u0131n varyanslar\u0131n\u0131n e\u015fit olmas\u0131d\u0131r. Bunu test etmenin en yayg\u0131n yollar\u0131ndan biri, a\u015fa\u011f\u0131daki varsay\u0131mlar\u0131 kullanan istatistiksel bir test olan Brown-Forsythe testini kullanmakt\u0131r: H 0 : Pop\u00fclasyonlar aras\u0131ndaki varyanslar e\u015fittir. H [&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-1285","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>R&#039;de Brown\u2013Forsythe testi: ad\u0131m ad\u0131m \u00f6rnek - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R&#039;de Brown-Forsythe testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi ad\u0131m ad\u0131m bir \u00f6rnekle 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\/rde-kahverengi-forsythe-testi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R&#039;de Brown\u2013Forsythe testi: ad\u0131m ad\u0131m \u00f6rnek - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde R&#039;de Brown-Forsythe testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi ad\u0131m ad\u0131m bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/rde-kahverengi-forsythe-testi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T00:38:59+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/test1.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=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/rde-kahverengi-forsythe-testi\/\",\"url\":\"https:\/\/statorials.org\/tr\/rde-kahverengi-forsythe-testi\/\",\"name\":\"R&#39;de Brown\u2013Forsythe testi: ad\u0131m ad\u0131m \u00f6rnek - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T00:38:59+00:00\",\"dateModified\":\"2023-07-27T00:38:59+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde R&#39;de Brown-Forsythe testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi ad\u0131m ad\u0131m bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/rde-kahverengi-forsythe-testi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/rde-kahverengi-forsythe-testi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/rde-kahverengi-forsythe-testi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"R&#39;de brown \u2013 forsythe testi: ad\u0131m ad\u0131m \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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