{"id":866,"date":"2023-07-28T12:11:13","date_gmt":"2023-07-28T12:11:13","guid":{"rendered":"https:\/\/statorials.org\/tr\/python-guven-araliklari\/"},"modified":"2023-07-28T12:11:13","modified_gmt":"2023-07-28T12:11:13","slug":"python-guven-araliklari","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/python-guven-araliklari\/","title":{"rendered":"Python&#39;da g\u00fcven aral\u0131klar\u0131 nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Bir ortalama i\u00e7in g\u00fcven aral\u0131\u011f\u0131,<\/strong> belirli bir g\u00fcven d\u00fczeyine sahip bir pop\u00fclasyon ortalamas\u0131n\u0131 i\u00e7ermesi muhtemel bir de\u011fer aral\u0131\u011f\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>G\u00fcven aral\u0131\u011f\u0131 =<\/strong> <strong><span style=\"text-decoration: overline;\">x<\/span> +\/- t*(s\/\u221an)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> :<\/strong> \u00f6rnek ortalama<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>t:<\/strong> g\u00fcven d\u00fczeyine kar\u015f\u0131l\u0131k gelen t de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> numune standart sapmas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde Python&#8217;da g\u00fcven aral\u0131klar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>T da\u011f\u0131l\u0131m\u0131n\u0131 kullanan g\u00fcven aral\u0131klar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">K\u00fc\u00e7\u00fck bir \u00f6rnekle (n &lt; 30) \u00e7al\u0131\u015f\u0131yorsak, pop\u00fclasyon ortalamas\u0131 i\u00e7in bir g\u00fcven aral\u0131\u011f\u0131 hesaplamak amac\u0131yla scipy.stats k\u00fct\u00fcphanesindeki <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.t.html\" target=\"_blank\" rel=\"noopener\">t.interval() fonksiyonunu<\/a> kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, 15 bitkiden olu\u015fan bir \u00f6rnek kullan\u0131larak belirli bir bitki t\u00fcr\u00fcn\u00fcn ger\u00e7ek ortalama pop\u00fclasyon y\u00fcksekli\u011fine (in\u00e7 cinsinden) ili\u015fkin g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/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<span style=\"color: #107d3f;\">import<\/span> scipy.stats <span style=\"color: #107d3f;\">as<\/span> st\n\n<span style=\"color: #008080;\">#define sample data<\/span>\ndata = [12, 12, 13, 13, 15, 16, 17, 22, 23, 25, 26, 27, 28, 28, 29]\n\n<span style=\"color: #008080;\">#create 95% confidence interval for population mean weight\n<\/span>st.t.interval(alpha=0.95, df=len(data)-1, loc=np.mean(data), scale=st.sem(data)) \n\n(16.758, 24.042)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek ortalama pop\u00fclasyon b\u00fcy\u00fckl\u00fc\u011f\u00fc i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131 <strong>(16.758, 24.042)&#8217;<\/strong> dir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">G\u00fcven d\u00fczeyi ne kadar y\u00fcksek olursa g\u00fcven aral\u0131\u011f\u0131n\u0131n da o kadar geni\u015f olaca\u011f\u0131n\u0131 fark edeceksiniz. \u00d6rne\u011fin, tam olarak ayn\u0131 veriler i\u00e7in %99 GA&#8217;n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create 99% confidence interval for same sample\n<\/span>st.t.interval(alpha= <span style=\"color: #008000;\">0.99<\/span> , df=len(data)-1, loc=np.mean(data), scale=st.sem(data)) \n\n(15.348, 25.455)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek ortalama pop\u00fclasyon b\u00fcy\u00fckl\u00fc\u011f\u00fc i\u00e7in %99 g\u00fcven aral\u0131\u011f\u0131 <strong>(15.348, 25.455)&#8217;<\/strong> tir. Bu aral\u0131\u011f\u0131n \u00f6nceki %95 g\u00fcven aral\u0131\u011f\u0131ndan daha geni\u015f oldu\u011funu unutmay\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Normal da\u011f\u0131l\u0131m kullan\u0131larak g\u00fcven aral\u0131klar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha b\u00fcy\u00fck \u00f6rneklerle (n\u226530) \u00e7al\u0131\u015f\u0131yorsak, \u00f6rnek ortalamas\u0131n\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n normal da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayabilir ( <a href=\"https:\/\/statorials.org\/tr\/merkezi-limit-teoremi\/\" target=\"_blank\" rel=\"noopener\">merkezi limit teoremi<\/a> sayesinde) ve bunun yerine <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.norm.html\" target=\"_blank\" rel=\"noopener\">norm fonksiyonunu kullanabiliriz.<\/a> scipy .stats k\u00fct\u00fcphanesinden <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.norm.html\" target=\"_blank\" rel=\"noopener\">interval()<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, 50 bitkiden olu\u015fan bir \u00f6rnek kullan\u0131larak belirli bir bitki t\u00fcr\u00fcn\u00fcn ger\u00e7ek ortalama pop\u00fclasyon y\u00fcksekli\u011fine (in\u00e7 cinsinden) ili\u015fkin g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/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<span style=\"color: #107d3f;\">import<\/span> scipy.stats <span style=\"color: #107d3f;\">as<\/span> st\n\n<span style=\"color: #008080;\">#define sample data<\/span>\nnp.random.seed(0)\ndata = np.random.randint(10, 30, 50)\n\n<span style=\"color: #008080;\">#create 95% confidence interval for population mean weight\n<\/span>st.norm.interval(alpha=0.95, loc=np.mean(data), scale=st.sem(data))\n\n(17.40, 21.08)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek ortalama pop\u00fclasyon b\u00fcy\u00fckl\u00fc\u011f\u00fc i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131 <strong>(17,40, 21,08)&#8217;<\/strong> dir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">T da\u011f\u0131l\u0131m\u0131nda oldu\u011fu gibi, daha y\u00fcksek g\u00fcven seviyeleri daha geni\u015f g\u00fcven aral\u0131klar\u0131na yol a\u00e7ar. \u00d6rne\u011fin, tam olarak ayn\u0131 veriler i\u00e7in %99 GA&#8217;n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create 99% confidence interval for same sample\n<\/span>st.norm.interval(alpha= <span style=\"color: #008000;\">0.99<\/span> , loc=np.mean(data), scale=st.sem(data))\n\n(16.82, 21.66)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek ortalama pop\u00fclasyon b\u00fcy\u00fckl\u00fc\u011f\u00fc i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131 <strong>(17,82, 21,66)&#8217;<\/strong> d\u0131r.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">G\u00fcven aral\u0131klar\u0131 nas\u0131l yorumlan\u0131r?<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Bir bitki t\u00fcr\u00fcn\u00fcn ger\u00e7ek ortalama boyuna ili\u015fkin %95 g\u00fcven aral\u0131\u011f\u0131m\u0131z\u0131n \u015f\u00f6yle oldu\u011funu varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>%95 g\u00fcven aral\u0131\u011f\u0131 = (16,758, 24,042)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu g\u00fcven aral\u0131\u011f\u0131n\u0131 yorumlaman\u0131n yolu \u015fu \u015fekildedir:<\/span><\/p>\n<blockquote data-slot-rendered-dynamic=\"true\">\n<p> <span style=\"color: #000000;\">[16.758, 24.042] g\u00fcven aral\u0131\u011f\u0131n\u0131n pop\u00fclasyonun ger\u00e7ek ortalama bitki boyunu i\u00e7erme olas\u0131l\u0131\u011f\u0131 %95&#8217;tir.<\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Ayn\u0131 \u015feyi s\u00f6ylemenin ba\u015fka bir yolu da, ger\u00e7ek n\u00fcfus ortalamas\u0131n\u0131n %95 g\u00fcven aral\u0131\u011f\u0131n\u0131n d\u0131\u015f\u0131nda olma ihtimalinin yaln\u0131zca %5 oldu\u011fudur. Yani, ger\u00e7ek ortalama bitki boyunun 16,758 in\u00e7ten az veya 24,042 in\u00e7ten fazla olma ihtimali yaln\u0131zca %5&#8217;tir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir ortalama i\u00e7in g\u00fcven aral\u0131\u011f\u0131, belirli bir g\u00fcven d\u00fczeyine sahip bir pop\u00fclasyon ortalamas\u0131n\u0131 i\u00e7ermesi muhtemel bir de\u011fer aral\u0131\u011f\u0131d\u0131r. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: G\u00fcven aral\u0131\u011f\u0131 = x +\/- t*(s\/\u221an) Alt\u0131n: x : \u00f6rnek ortalama t: g\u00fcven d\u00fczeyine kar\u015f\u0131l\u0131k gelen t de\u011feri s: numune standart sapmas\u0131 n: \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc Bu e\u011fitimde Python&#8217;da g\u00fcven aral\u0131klar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. T [&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-866","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 G\u00fcven Aral\u0131klar\u0131 Nas\u0131l Hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Python&#039;da g\u00fcven aral\u0131klar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na 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\/python-guven-araliklari\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da G\u00fcven Aral\u0131klar\u0131 Nas\u0131l Hesaplan\u0131r - Statorials\" \/>\n<meta property=\"og:description\" content=\"Python&#039;da g\u00fcven aral\u0131klar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/python-guven-araliklari\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T12:11:13+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\/python-guven-araliklari\/\",\"url\":\"https:\/\/statorials.org\/tr\/python-guven-araliklari\/\",\"name\":\"Python&#39;da G\u00fcven Aral\u0131klar\u0131 Nas\u0131l Hesaplan\u0131r - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-28T12:11:13+00:00\",\"dateModified\":\"2023-07-28T12:11:13+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Python&#39;da g\u00fcven aral\u0131klar\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/python-guven-araliklari\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/python-guven-araliklari\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/python-guven-araliklari\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python&#39;da g\u00fcven aral\u0131klar\u0131 nas\u0131l hesaplan\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. 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