{"id":1526,"date":"2023-07-26T00:50:41","date_gmt":"2023-07-26T00:50:41","guid":{"rendered":"https:\/\/statorials.org\/tr\/testi\/"},"modified":"2023-07-26T00:50:41","modified_gmt":"2023-07-26T00:50:41","slug":"testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/testi\/","title":{"rendered":"Uyum iyili\u011fi g testi: tan\u0131m + \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte, kategorik bir de\u011fi\u015fkenin varsay\u0131msal bir da\u011f\u0131l\u0131ma uyup uymad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <strong>uyum iyili\u011fi i\u00e7in G testi<\/strong> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu test <a href=\"https:\/\/statorials.org\/tr\/ki-kare-uyum-iyiligi-testi\/\" target=\"_blank\" rel=\"noopener\">, ki-kare uyum iyili\u011fi testinin<\/a> bir alternatifidir ve genellikle verilerde ayk\u0131r\u0131 de\u011ferler mevcut oldu\u011funda veya \u00fczerinde \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131z veriler a\u015f\u0131r\u0131 b\u00fcy\u00fck oldu\u011funda kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">G-Uyum iyili\u011fi Testi 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> Bir de\u011fi\u015fken varsay\u0131msal bir da\u011f\u0131l\u0131m izler.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> Bir de\u011fi\u015fken varsay\u0131msal bir da\u011f\u0131l\u0131m <em>izlemez<\/em> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fi \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">G=2 * \u03a3[O * ln(O\/E)]<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>O:<\/strong> Bir h\u00fccrede g\u00f6zlenen say\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>E:<\/strong> Bir h\u00fccrede beklenen say\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fine kar\u015f\u0131l\u0131k gelen p de\u011feri belirli bir <a href=\"https:\/\/statorials.org\/tr\/p-degerleri-istatistiksel-anlamlilik\/\" target=\"_blank\" rel=\"noopener\">anlaml\u0131l\u0131k d\u00fczeyinin<\/a> alt\u0131ndaysa, bo\u015f hipotezi reddedebilir ve incelenen de\u011fi\u015fkenin varsay\u0131lan da\u011f\u0131l\u0131ma uymad\u0131\u011f\u0131 sonucuna varabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, uyum iyili\u011fi G testinin pratikte nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Uyum iyili\u011finin G testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir biyolog, belirli bir b\u00f6lgede e\u015fit oranda \u00fc\u00e7 kaplumba\u011fa t\u00fcr\u00fcn\u00fcn bulundu\u011funu iddia ediyor. Bu iddiay\u0131 test etmek i\u00e7in ba\u011f\u0131ms\u0131z bir ara\u015ft\u0131rmac\u0131, her t\u00fcr t\u00fcr\u00fcn\u00fcn say\u0131s\u0131n\u0131 sayar ve a\u015fa\u011f\u0131dakileri bulur:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">T\u00fcr A: <strong>80<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">T\u00fcr B: <strong>125<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">T\u00fcr C: <strong>95<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ba\u011f\u0131ms\u0131z ara\u015ft\u0131rmac\u0131, toplad\u0131\u011f\u0131 verilerin biyolo\u011fun iddialar\u0131yla tutarl\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek amac\u0131yla uyum iyili\u011fi G testi ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Bo\u015f ve alternatif hipotezleri belirtin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ara\u015ft\u0131rmac\u0131 a\u015fa\u011f\u0131daki varsay\u0131mlar\u0131 kullanarak uyum iyili\u011fine ili\u015fkin G testini ger\u00e7ekle\u015ftirecektir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> Bu alanda e\u015fit oranda \u00fc\u00e7 kaplumba\u011fa t\u00fcr\u00fc bulunmaktad\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong> Bu alanda e\u015fit oranda \u00fc\u00e7 kaplumba\u011fa t\u00fcr\u00fc <em>bulunmamaktad\u0131r<\/em> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Test istatisti\u011fini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fini hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>G=2 * \u03a3[O * ln(O\/E)]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte toplam 300 kaplumba\u011fa g\u00f6zlemlenmektedir. Her t\u00fcrden e\u015fit oranda olsayd\u0131, her t\u00fcrden 100 kaplumba\u011fay\u0131 g\u00f6zlemlemeyi beklerdik. Yani test istatisti\u011fini \u015fu \u015fekilde hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">G = 2 * [80*ln(80\/100) + 125*ln(125\/100) + 95*ln(95\/100)] = <strong>10,337<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Test istatisti\u011finin p de\u011ferini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/ki-kare-p-degeri-hesaplayici\/\" target=\"_blank\" rel=\"noopener\">Ki-kare &#8211; P de\u011feri hesaplay\u0131c\u0131s\u0131na<\/a> g\u00f6re, 10,337 test istatisti\u011fi ve #categories-1 = 3-1 = 2 serbestlik derecesi ile ili\u015fkili p de\u011feri <strong>0,005693&#8217;t\u00fcr<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan ara\u015ft\u0131rmac\u0131 s\u0131f\u0131r hipotezini reddedecektir. Bu, s\u00f6z konusu b\u00f6lgede her kaplumba\u011fa t\u00fcr\u00fcn\u00fcn e\u015fit oranda <em>bulunmad\u0131\u011f\u0131n\u0131<\/em> s\u00f6yleyecek yeterli kan\u0131ta sahip oldu\u011fu anlam\u0131na geliyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bonus: R&#8217;de uyum iyili\u011fi i\u00e7in G testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R&#8217;de h\u0131zl\u0131 bir \u015fekilde uyum iyili\u011fi G testi ger\u00e7ekle\u015ftirmek i\u00e7in DescTools paketindeki <strong>Gtest()<\/strong> i\u015flevini kullanabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, \u00f6nceki \u00f6rnek i\u00e7in G testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load the DescTools library<\/span>\n<span style=\"color: #993300;\">library<\/span> (DescTools)\n\n<span style=\"color: #008080;\">#perform the G-test \n<\/span>GTest(x = c(80, 125, 95), <span style=\"color: #008080;\">#observed values<\/span>\n      p = c(1\/3, 1\/3, 1\/3), <span style=\"color: #008080;\">#expected proportions<\/span>\n      correct=\" <span style=\"color: #008000;\">none<\/span> \")\n\n\tLog likelihood ratio (G-test) goodness of fit test\n\ndata: c(80, 125, 95)\nG = 10.337, X-squared df = 2, p-value = 0.005693\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">G testi istatisti\u011finin <b>10,337<\/b> ve kar\u015f\u0131l\u0131k gelen p de\u011ferinin <strong>0,005693<\/strong> oldu\u011funu unutmay\u0131n. Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddederiz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, manuel olarak hesaplad\u0131\u011f\u0131m\u0131z sonu\u00e7larla e\u015fle\u015fiyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Herhangi bir veri seti i\u00e7in otomatik olarak bir G testi ger\u00e7ekle\u015ftirmek \u00fczere bu uyum iyili\u011fi G testi hesaplay\u0131c\u0131s\u0131n\u0131 kullanmaktan \u00e7ekinmeyin.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte, kategorik bir de\u011fi\u015fkenin varsay\u0131msal bir da\u011f\u0131l\u0131ma uyup uymad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in uyum iyili\u011fi i\u00e7in G testi kullan\u0131l\u0131r. Bu test , ki-kare uyum iyili\u011fi testinin bir alternatifidir ve genellikle verilerde ayk\u0131r\u0131 de\u011ferler mevcut oldu\u011funda veya \u00fczerinde \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131z veriler a\u015f\u0131r\u0131 b\u00fcy\u00fck oldu\u011funda kullan\u0131l\u0131r. G-Uyum iyili\u011fi Testi a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezleri kullan\u0131r: H 0 : Bir de\u011fi\u015fken [&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-1526","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>Uyum iyili\u011fi G testi: tan\u0131m + \u00f6rnek<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, resmi bir tan\u0131m ve \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere uyum iyili\u011fi G testinin 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\/testi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Uyum iyili\u011fi G testi: tan\u0131m + \u00f6rnek\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, resmi bir tan\u0131m ve \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere uyum iyili\u011fi G testinin bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/testi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T00:50:41+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\/testi\/\",\"url\":\"https:\/\/statorials.org\/tr\/testi\/\",\"name\":\"Uyum iyili\u011fi G testi: tan\u0131m + \u00f6rnek\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-26T00:50:41+00:00\",\"dateModified\":\"2023-07-26T00:50:41+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, resmi bir tan\u0131m ve \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere uyum iyili\u011fi G testinin bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/testi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/testi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/testi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Uyum iyili\u011fi g testi: tan\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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