{"id":862,"date":"2023-07-28T12:33:00","date_gmt":"2023-07-28T12:33:00","guid":{"rendered":"https:\/\/statorials.org\/tr\/f-testi-pitonu\/"},"modified":"2023-07-28T12:33:00","modified_gmt":"2023-07-28T12:33:00","slug":"f-testi-pitonu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/f-testi-pitonu\/","title":{"rendered":"Python&#39;da f testi nas\u0131l yap\u0131l\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130ki pop\u00fclasyon varyans\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in <strong>F testi<\/strong> kullan\u0131l\u0131r. Testin s\u0131f\u0131r ve alternatif hipotezleri a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03c3 <sub>1<\/sub> <sup>2<\/sup> = \u03c3 <sub>2<\/sub> <sup>2<\/sup> (n\u00fcfus varyanslar\u0131 e\u015fittir)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03c3 <sub>1<\/sub> <sup>2<\/sup> \u2260 \u03c3 <sub>2<\/sub> <sup>2<\/sup> (pop\u00fclasyon varyanslar\u0131 e\u015fit <em>de\u011fildir<\/em> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde Python&#8217;da F testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Python&#8217;da F-Test<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Diyelim ki elimizde \u015fu iki \u00f6rnek var:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>x = [18, 19, 22, 25, 27, 28, 41, 45, 51, 55]<\/strong>\n<strong>y = [14, 15, 15, 17, 18, 22, 25, 25, 27, 34]<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu \u00f6rneklerin geldi\u011fi iki pop\u00fclasyonun e\u015fit varyansa sahip olup olmad\u0131\u011f\u0131n\u0131 belirlemek amac\u0131yla bir F testi ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki i\u015flevi kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n\n<span style=\"color: #008080;\">#define F-test function<\/span>\n<span style=\"color: #008000;\">def<\/span> f_test(x, y):\n    x = np.array(x)\n    y = np.array(y)\n    f = np.var(x, ddof=1)\/np.var(y, ddof=1) <span style=\"color: #008080;\">#calculate F test statistic<\/span>\n    dfn = x.size-1 <span style=\"color: #008080;\">#define degrees of freedom numerator<\/span>\n    dfd = y.size-1 <span style=\"color: #008080;\">#define degrees of freedom denominator<\/span>\n    p = 1-scipy.stats.f.cdf(f, dfn, dfd) <span style=\"color: #008080;\">#find p-value of F test statistic<\/span>\n    <span style=\"color: #008000;\">return<\/span> f,p\n\n<span style=\"color: #008080;\">#perform F-test\n<\/span>f_test(x, y)\n\n(4.38712, 0.019127)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">F testi istatisti\u011fi <strong>4,38712&#8217;dir<\/strong> ve kar\u015f\u0131l\u0131k gelen p de\u011feri <strong>0,019127&#8217;dir<\/strong> . Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddederiz. Bu, iki pop\u00fclasyon varyans\u0131n\u0131n e\u015fit <em>olmad\u0131\u011f\u0131n\u0131<\/em> s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Yorumlar<\/strong><\/span><\/h3>\n<ul>\n<li> <span style=\"color: #000000;\">F testi istatisti\u011fi s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup> olarak hesaplan\u0131r. <a href=\"https:\/\/numpy.org\/doc\/stable\/reference\/generated\/numpy.var.html#:~:text=Compute%20the%20variance%20along%20the,the%20spread%20of%20a%20distribution.\" target=\"_blank\" rel=\"noopener noreferrer\">Numpy.var<\/a> varsay\u0131lan olarak pop\u00fclasyon varyans\u0131n\u0131 hesaplar. \u00d6rnek varyans\u0131n\u0131 hesaplamak i\u00e7in <strong>ddof=1<\/strong> belirtmemiz gerekir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">P de\u011feri, paydaki serbestlik derecesi = n <sub>1<\/sub> -1 ve paydadaki serbestlik derecesi = n <sub>2<\/sub> -1 ile F da\u011f\u0131l\u0131m\u0131n\u0131n 1 \u2013 cdf&#8217;sine kar\u015f\u0131l\u0131k gelir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bu i\u015flev yaln\u0131zca ilk \u00f6rne\u011fin varyans\u0131n\u0131n ikinci \u00f6rne\u011fin varyans\u0131ndan b\u00fcy\u00fck olmas\u0131 durumunda \u00e7al\u0131\u015f\u0131r. Yani her iki \u00f6rne\u011fi de fonksiyonla \u00e7al\u0131\u015facak \u015fekilde ayarlay\u0131n.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>F testi ne zaman kullan\u0131lmal\u0131?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">F testi genellikle a\u015fa\u011f\u0131daki sorulardan birini yan\u0131tlamak i\u00e7in kullan\u0131l\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> \u0130ki \u00f6rnek varyanslar\u0131 e\u015fit olan pop\u00fclasyonlardan m\u0131 geliyor?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Yeni bir i\u015flem veya s\u00fcre\u00e7 mevcut bir i\u015flem veya i\u015flemin de\u011fi\u015fkenli\u011fini azalt\u0131r m\u0131<\/strong> ?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><b>\u0130lgili:<\/b> <a href=\"https:\/\/statorials.org\/tr\/rde-f-testi\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de F testi nas\u0131l yap\u0131l\u0131r<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki pop\u00fclasyon varyans\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in F testi kullan\u0131l\u0131r. Testin s\u0131f\u0131r ve alternatif hipotezleri a\u015fa\u011f\u0131daki gibidir: H 0 : \u03c3 1 2 = \u03c3 2 2 (n\u00fcfus varyanslar\u0131 e\u015fittir) H 1 : \u03c3 1 2 \u2260 \u03c3 2 2 (pop\u00fclasyon varyanslar\u0131 e\u015fit de\u011fildir ) Bu e\u011fitimde Python&#8217;da F testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r. [&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-862","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>Python&#039;da F testi nas\u0131l yap\u0131l\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da e\u015fit varyanslar i\u00e7in F testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi 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\/f-testi-pitonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da F testi nas\u0131l yap\u0131l\u0131r - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde Python&#039;da e\u015fit varyanslar i\u00e7in F testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/f-testi-pitonu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T12:33:00+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=\"2 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/f-testi-pitonu\/\",\"url\":\"https:\/\/statorials.org\/tr\/f-testi-pitonu\/\",\"name\":\"Python&#39;da F testi nas\u0131l yap\u0131l\u0131r - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-28T12:33:00+00:00\",\"dateModified\":\"2023-07-28T12:33:00+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde Python&#39;da e\u015fit varyanslar i\u00e7in F testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/f-testi-pitonu\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/f-testi-pitonu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/f-testi-pitonu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python&#39;da f testi nas\u0131l yap\u0131l\u0131r\"}]},{\"@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. Daha fazlas\u0131n\u0131 bil\",\"sameAs\":[\"https:\/\/statorials.org\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Python&#39;da F testi nas\u0131l yap\u0131l\u0131r - Statorials","description":"Bu e\u011fitimde Python&#39;da e\u015fit varyanslar i\u00e7in F testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/tr\/f-testi-pitonu\/","og_locale":"tr_TR","og_type":"article","og_title":"Python&#39;da F testi nas\u0131l yap\u0131l\u0131r - Statorials","og_description":"Bu e\u011fitimde Python&#39;da e\u015fit varyanslar i\u00e7in F testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.","og_url":"https:\/\/statorials.org\/tr\/f-testi-pitonu\/","og_site_name":"Statorials","article_published_time":"2023-07-28T12:33:00+00:00","author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"2 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/f-testi-pitonu\/","url":"https:\/\/statorials.org\/tr\/f-testi-pitonu\/","name":"Python&#39;da F testi nas\u0131l yap\u0131l\u0131r - Statorials","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-07-28T12:33:00+00:00","dateModified":"2023-07-28T12:33:00+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Bu e\u011fitimde Python&#39;da e\u015fit varyanslar i\u00e7in F testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/f-testi-pitonu\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/f-testi-pitonu\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/f-testi-pitonu\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"Python&#39;da f testi nas\u0131l yap\u0131l\u0131r"}]},{"@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. Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/862","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=862"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/862\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=862"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=862"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=862"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}