{"id":1064,"date":"2023-07-27T19:26:11","date_gmt":"2023-07-27T19:26:11","guid":{"rendered":"https:\/\/statorials.org\/tr\/python-ortalamasinin-standart-hatasi\/"},"modified":"2023-07-27T19:26:11","modified_gmt":"2023-07-27T19:26:11","slug":"python-ortalamasinin-standart-hatasi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/python-ortalamasinin-standart-hatasi\/","title":{"rendered":"Python&#39;da ortalaman\u0131n standart hatas\u0131 nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Ortalaman\u0131n standart hatas\u0131,<\/strong> bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin bir yoludur. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ortalaman\u0131n standart hatas\u0131 = s \/ \u221an<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\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 bir veri k\u00fcmesinin ortalamas\u0131n\u0131n standart hatas\u0131n\u0131 hesaplamak i\u00e7in kullanabilece\u011finiz iki y\u00f6ntem a\u00e7\u0131klanmaktad\u0131r. Her iki y\u00f6ntemin de tamamen ayn\u0131 sonu\u00e7lar\u0131 \u00fcretti\u011fini unutmay\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Y\u00f6ntem 1: SciPy&#8217;yi kullan\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ortalaman\u0131n standart hatas\u0131n\u0131 hesaplaman\u0131n ilk yolu SciPy Stats k\u00fct\u00fcphanesindeki <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.sem.html\" target=\"_blank\" rel=\"noopener noreferrer\">sem()<\/a> fonksiyonunu kullanmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod bu i\u015flevin nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> week\n\n<span style=\"color: #008080;\">#define dataset<\/span> \ndata = [3, 4, 4, 5, 7, 8, 12, 14, 14, 15, 17, 19, 22, 24, 24, 24, 25, 28, 28, 29]\n\n<span style=\"color: #008080;\">#calculate standard error of the mean<\/span> \nsem(data)\n\n2.001447<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ortalaman\u0131n standart hatas\u0131 <strong>2,001447<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Y\u00f6ntem 2: NumPy&#8217;yi kullan\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir veri k\u00fcmesinin ortalamas\u0131n\u0131n standart hatas\u0131n\u0131 hesaplaman\u0131n ba\u015fka bir yolu da NumPy&#8217;nin <a href=\"https:\/\/numpy.org\/doc\/stable\/reference\/generated\/numpy.std.html\" target=\"_blank\" rel=\"noopener noreferrer\">std()<\/a> i\u015flevini kullanmakt\u0131r.<\/span><\/p>\n<p> <em><span style=\"color: #000000;\">Pop\u00fclasyon standart sapmas\u0131na kar\u015f\u0131l\u0131k \u00f6rnek standart sapmay\u0131 hesaplamak i\u00e7in bu fonksiyonun arg\u00fcman\u0131nda <strong>ddof=1<\/strong> belirtmemiz gerekti\u011fini unutmay\u0131n.<\/span><\/em><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod bunun nas\u0131l yap\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n\n<span style=\"color: #008080;\">#define dataset<\/span>\ndata = np.array([3, 4, 4, 5, 7, 8, 12, 14, 14, 15, 17, 19, 22, 24, 24, 24, 25, 28, 28, 29])\n\n<span style=\"color: #008080;\">#calculate standard error of the mean<\/span> \nn.p. <span style=\"color: #3366ff;\">std<\/span> (data, ddof= <span style=\"color: #008000;\">1<\/span> ) \/ np. <span style=\"color: #3366ff;\">sqrt<\/span> ( <span style=\"color: #3366ff;\">np.size<\/span> (data))\n\n2.001447\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Yine ortalaman\u0131n standart hatas\u0131 <strong>2,001447<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<h3> <strong>Ortalaman\u0131n standart hatas\u0131 nas\u0131l yorumlan\u0131r?<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Ortalaman\u0131n standart hatas\u0131 basit\u00e7e de\u011ferlerin ortalama etraf\u0131ndaki yay\u0131l\u0131m\u0131n\u0131n bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Ortalaman\u0131n standart hatas\u0131n\u0131 yorumlarken ak\u0131lda tutulmas\u0131 gereken iki \u015fey vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Ortalaman\u0131n standart hatas\u0131 ne kadar b\u00fcy\u00fck olursa, bir veri setinde de\u011ferler ortalaman\u0131n etraf\u0131nda o kadar da\u011f\u0131n\u0131k olur.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu g\u00f6stermek i\u00e7in, \u00f6nceki veri k\u00fcmesinin son de\u011ferini \u00e7ok daha b\u00fcy\u00fck bir say\u0131yla de\u011fi\u015ftirip de\u011fi\u015ftirmedi\u011fimizi d\u00fc\u015f\u00fcn\u00fcn:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> week\n\n<span style=\"color: #008080;\">#define dataset<\/span> \ndata = [3, 4, 4, 5, 7, 8, 12, 14, 14, 15, 17, 19, 22, 24, 24, 24, 25, 28, 28, <span style=\"color: #800080;\">150<\/span> ]\n\n<span style=\"color: #008080;\">#calculate standard error of the mean<\/span> \nsem(data)\n\n<span style=\"color: #000000;\">6.978265<\/span>\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Standart hatan\u0131n <strong>2,001447&#8217;den<\/strong> <strong>6,978265&#8217;e<\/strong> nas\u0131l y\u00fckseldi\u011fine dikkat edin. Bu durum, bu veri setindeki de\u011ferlerin \u00f6nceki veri setine g\u00f6re ortalama etraf\u0131nda daha fazla da\u011f\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc artt\u0131k\u00e7a ortalaman\u0131n standart hatas\u0131 azalma e\u011filimindedir.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu g\u00f6stermek i\u00e7in a\u015fa\u011f\u0131daki iki veri k\u00fcmesinin ortalaman\u0131n standart hatas\u0131n\u0131 d\u00fc\u015f\u00fcn\u00fcn:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #008000;\">from<\/span> <span style=\"color: #000000;\">scipy<\/span> . <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> <span style=\"color: #000000;\">week<\/span> \n\n#define first dataset and find SEM<\/span>\ndata1 = [1, 2, 3, 4, 5]\nsem(data1)\n\n0.7071068\n\n<span style=\"color: #008080;\">#define second dataset and find SEM<\/span>\ndata2 = [1, 2, 3, 4, 5, 1, 2, 3, 4, 5]\nsem(data2)\n\n0.4714045\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0130kinci veri seti basit\u00e7e iki kez tekrarlanan ilk veri setidir. Yani her iki veri seti de ayn\u0131 ortalamaya sahiptir ancak ikinci veri seti daha b\u00fcy\u00fck bir \u00f6rneklem boyutuna sahiptir ve dolay\u0131s\u0131yla standart hatas\u0131 daha k\u00fc\u00e7\u00fckt\u00fcr.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ortalama-rnin-standart-hatasi\/\" target=\"_blank\" rel=\"noopener noreferrer\">R cinsinden ortalaman\u0131n standart hatas\u0131 nas\u0131l hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/excel-standart-hatasi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Excel&#8217;de Ortalaman\u0131n Standart Hatas\u0131 Nas\u0131l Hesaplan\u0131r?<\/a><br \/> Google E-Tablolarda ortalaman\u0131n standart hatas\u0131 nas\u0131l hesaplan\u0131r?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ortalaman\u0131n standart hatas\u0131, bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin bir yoludur. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: Ortalaman\u0131n standart hatas\u0131 = s \/ \u221an Alt\u0131n: s : numune standart sapmas\u0131 n : \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc Bu e\u011fitimde Python&#8217;da bir veri k\u00fcmesinin ortalamas\u0131n\u0131n standart hatas\u0131n\u0131 hesaplamak i\u00e7in kullanabilece\u011finiz iki y\u00f6ntem a\u00e7\u0131klanmaktad\u0131r. Her iki y\u00f6ntemin de tamamen ayn\u0131 sonu\u00e7lar\u0131 \u00fcretti\u011fini unutmay\u0131n. [&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-1064","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 ortalaman\u0131n standart hatas\u0131 nas\u0131l hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Python&#039;da ortalaman\u0131n standart hatas\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnekle 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-ortalamasinin-standart-hatasi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da ortalaman\u0131n standart hatas\u0131 nas\u0131l hesaplan\u0131r - Statorials\" \/>\n<meta property=\"og:description\" content=\"Python&#039;da ortalaman\u0131n standart hatas\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnekle basit bir a\u00e7\u0131klama.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/python-ortalamasinin-standart-hatasi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T19:26:11+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-ortalamasinin-standart-hatasi\/\",\"url\":\"https:\/\/statorials.org\/tr\/python-ortalamasinin-standart-hatasi\/\",\"name\":\"Python&#39;da ortalaman\u0131n standart hatas\u0131 nas\u0131l hesaplan\u0131r - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T19:26:11+00:00\",\"dateModified\":\"2023-07-27T19:26:11+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Python&#39;da ortalaman\u0131n standart hatas\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnekle basit bir a\u00e7\u0131klama.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/python-ortalamasinin-standart-hatasi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/python-ortalamasinin-standart-hatasi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/python-ortalamasinin-standart-hatasi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python&#39;da ortalaman\u0131n standart hatas\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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