{"id":849,"date":"2023-07-28T13:34:14","date_gmt":"2023-07-28T13:34:14","guid":{"rendered":"https:\/\/statorials.org\/tr\/iki-ornek-t-testi-python\/"},"modified":"2023-07-28T13:34:14","modified_gmt":"2023-07-28T13:34:14","slug":"iki-ornek-t-testi-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/iki-ornek-t-testi-python\/","title":{"rendered":"Python&#39;da i\u0307ki \u00f6rnekli t testi nas\u0131l ger\u00e7ekle\u015ftirilir"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/iki-orneginizi-test-edin\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0130ki \u00f6rneklem t testi,<\/a> iki pop\u00fclasyonun ortalamalar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde Python&#8217;da iki \u00f6rnekli t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h2> <strong>\u00d6rnek: Python&#8217;da iki t-testi \u00f6rne\u011fi<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Ara\u015ft\u0131rmac\u0131lar iki farkl\u0131 bitki t\u00fcr\u00fcn\u00fcn ayn\u0131 ortalama boya sahip olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyorlar. Bunu test etmek i\u00e7in her t\u00fcrden 20 bitkiden olu\u015fan<a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener noreferrer\">basit rastgele bir \u00f6rnek<\/a> topluyorlar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki bitki t\u00fcr\u00fcn\u00fcn ayn\u0131 y\u00fckseklikte olup olmad\u0131\u011f\u0131n\u0131 belirlemek amac\u0131yla iki \u00f6rnekli bir t testi ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 izleyin.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Verileri olu\u015fturun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak, 20 bitkiden olu\u015fan her grup i\u00e7in \u00f6l\u00e7\u00fcmleri tutacak iki tablo olu\u015fturaca\u011f\u0131z:<\/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\ngroup1 = np.array([14, 15, 15, 16, 13, 8, 14, 17, 16, 14, 19, 20, 21, 15, 15, 16, 16, 13, 14, 12])\ngroup2 = np.array([15, 17, 14, 17, 14, 8, 12, 19, 19, 14, 17, 22, 24, 16, 13, 16, 13, 18, 15, 13])<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: \u0130ki \u00f6rnekli bir t testi yap\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanan iki \u00f6rnekli bir t testi ger\u00e7ekle\u015ftirmek i\u00e7in scipy.stats kitapl\u0131\u011f\u0131ndaki <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.ttest_ind.html\" target=\"_blank\" rel=\"noopener noreferrer\">ttest_ind() i\u015flevini<\/a> kullanaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>ttest_ind(a, b, equal_var=Do\u011fru)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>a:<\/strong> grup 1 i\u00e7in g\u00f6zlem \u00f6rnekleri tablosu<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b:<\/strong> grup 2 i\u00e7in g\u00f6zlem \u00f6rnekleri tablosu<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>equal_var:<\/strong> Do\u011fruysa, pop\u00fclasyon varyanslar\u0131n\u0131n e\u015fit oldu\u011funu varsayan standart ba\u011f\u0131ms\u0131z 2 \u00f6rnekli bir t testi ger\u00e7ekle\u015ftirin. Yanl\u0131\u015fsa, e\u015fit pop\u00fclasyon varyanslar\u0131n\u0131 varsaymayan <a href=\"https:\/\/statorials.org\/tr\/welchs-t-testi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Welch t-testini<\/a> uygulay\u0131n. Bu varsay\u0131lan olarak do\u011frudur.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Testi yapmadan \u00f6nce, iki pop\u00fclasyonun e\u015fit varyansa sahip oldu\u011funu varsay\u0131p varsaymayaca\u011f\u0131m\u0131za karar vermemiz gerekiyor. Genel olarak, en b\u00fcy\u00fck \u00f6rnek varyans\u0131n\u0131n en k\u00fc\u00e7\u00fck \u00f6rnek varyans\u0131na oran\u0131 4:1&#8217;den azsa pop\u00fclasyonlar\u0131n e\u015fit varyanslara sahip oldu\u011funu varsayabiliriz.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find variance for each group<\/span>\nprint(np.var(group1), np.var(group2))\n\n7.73 12.26\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">En b\u00fcy\u00fck \u00f6rnek varyans\u0131n\u0131n en k\u00fc\u00e7\u00fck \u00f6rnek varyans\u0131na oran\u0131 12,26\/7,73 = <strong>1,586<\/strong> olup 4&#8217;ten k\u00fc\u00e7\u00fckt\u00fcr. Bu, pop\u00fclasyonun varyanslar\u0131n\u0131n e\u015fit oldu\u011funu varsayabilece\u011fimiz anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">B\u00f6ylece iki \u00f6rnekli t testini e\u015fit varyanslarla ger\u00e7ekle\u015ftirmeye devam edebiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> scipy.stats <span style=\"color: #107d3f;\">as<\/span> stats\n\n<span style=\"color: #008080;\">#perform two sample t-test with equal variances<\/span>\nstats.ttest_ind(a=group1, b=group2, equal_var=True)\n\n(statistic=-0.6337, pvalue=0.53005)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">T testi istatisti\u011fi <strong>-0,6337&#8217;dir<\/strong> ve kar\u015f\u0131l\u0131k gelen iki kuyruklu p de\u011feri <strong>0,53005&#8217;tir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Sonu\u00e7lar\u0131 yorumlay\u0131n.<\/strong><\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Bu \u00f6zel iki \u00f6rnekli t testi i\u00e7in iki varsay\u0131m \u015funlard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u00b5 <sub>1<\/sub> = \u00b5 <sub>2<\/sub> (iki pop\u00fclasyon ortalamas\u0131 e\u015fittir)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><sub>HA<\/sub> :<\/strong> \u00b5 <sub>1<\/sub> \u2260 \u00b5 <sub>2<\/sub> (iki pop\u00fclasyon ortalamas\u0131 e\u015fit <em>de\u011fildir<\/em> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">Testimizin p de\u011feri <strong>(0,53005)<\/strong> alfa = 0,05&#8217;ten b\u00fcy\u00fck oldu\u011fundan, testin s\u0131f\u0131r hipotezini reddedemiyoruz. \u0130ki pop\u00fclasyon aras\u0131ndaki ortalama bitki boyunun farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ornek-bir-t-testi-pitonu\/\">Python&#8217;da Tek \u00d6rnek T Testi Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi-python\/\">Python&#8217;da E\u015fle\u015ftirilmi\u015f \u00d6rnekler T-Testi Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki \u00f6rneklem t testi, iki pop\u00fclasyonun ortalamalar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r. Bu e\u011fitimde Python&#8217;da iki \u00f6rnekli t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r. \u00d6rnek: Python&#8217;da iki t-testi \u00f6rne\u011fi Ara\u015ft\u0131rmac\u0131lar iki farkl\u0131 bitki t\u00fcr\u00fcn\u00fcn ayn\u0131 ortalama boya sahip olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyorlar. Bunu test etmek i\u00e7in her t\u00fcrden 20 bitkiden olu\u015fanbasit rastgele bir \u00f6rnek topluyorlar. [&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-849","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 \u0130ki \u00d6rnekli T Testi Nas\u0131l Yap\u0131l\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Python&#039;da iki \u00f6rnekli t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine dair basit bir a\u00e7\u0131klama.\" \/>\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\/iki-ornek-t-testi-python\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da \u0130ki \u00d6rnekli T Testi Nas\u0131l Yap\u0131l\u0131r - Statorials\" \/>\n<meta property=\"og:description\" content=\"Python&#039;da iki \u00f6rnekli t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine dair basit bir a\u00e7\u0131klama.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/iki-ornek-t-testi-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T13:34:14+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\/iki-ornek-t-testi-python\/\",\"url\":\"https:\/\/statorials.org\/tr\/iki-ornek-t-testi-python\/\",\"name\":\"Python&#39;da \u0130ki \u00d6rnekli T Testi Nas\u0131l Yap\u0131l\u0131r - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-28T13:34:14+00:00\",\"dateModified\":\"2023-07-28T13:34:14+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Python&#39;da iki \u00f6rnekli t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine dair basit bir a\u00e7\u0131klama.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/iki-ornek-t-testi-python\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/iki-ornek-t-testi-python\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/iki-ornek-t-testi-python\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python&#39;da i\u0307ki \u00f6rnekli t testi nas\u0131l ger\u00e7ekle\u015ftirilir\"}]},{\"@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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