{"id":1245,"date":"2023-07-27T04:01:05","date_gmt":"2023-07-27T04:01:05","guid":{"rendered":"https:\/\/statorials.org\/tr\/rdeki-varyans\/"},"modified":"2023-07-27T04:01:05","modified_gmt":"2023-07-27T04:01:05","slug":"rdeki-varyans","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rdeki-varyans\/","title":{"rendered":"R&#39;de \u00f6rnek ve pop\u00fclasyon varyans\u0131 nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Varyans<\/strong> , veri de\u011ferlerinin ortalama etraf\u0131nda ne kadar iyi da\u011f\u0131ld\u0131\u011f\u0131n\u0131 \u00f6l\u00e7menin bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir <a href=\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\" target=\"_blank\" rel=\"noopener noreferrer\">pop\u00fclasyonun<\/a> varyans\u0131n\u0131 bulma form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u03c3 <sup>2<\/sup><\/strong> = \u03a3 (x <sub>ben<\/sub> \u2013 \u03bc) <sup>2<\/sup> \/ N<\/span><\/p>\n<p> <span style=\"color: #000000;\">burada \u03bc pop\u00fclasyon ortalamas\u0131d\u0131r, <sub>xi<\/sub> pop\u00fclasyonun <sup>i&#8217;inci<\/sup> eleman\u0131d\u0131r, N pop\u00fclasyon b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr ve \u03a3 sadece &#8220;toplam&#8221; anlam\u0131na gelen s\u00fcsl\u00fc bir sembold\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir <a href=\"https:\/\/statorials.org\/tr\/populasyon-ortalamasiyla-karsilastirildiginda-ornek-ortalamasi\/\" target=\"_blank\" rel=\"noopener noreferrer\">numunenin<\/a> varyans\u0131n\u0131 bulma form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>s <sup>2<\/sup><\/strong> = \u03a3 (x <sub>ben<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) <sup>2<\/sup> \/ (n-1)<\/span><\/p>\n<p> <span style=\"color: #000000;\">burada <span style=\"text-decoration: overline;\">x<\/span> numune ortalamas\u0131d\u0131r, xi <sub>i&#8217;inci<\/sub> numune eleman\u0131d\u0131r ve n numune boyutudur <sup>.<\/sup><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de \u00f6rnek ve pop\u00fclasyon varyans\u0131n\u0131 hesaplama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R&#8217;de a\u015fa\u011f\u0131daki veri k\u00fcmesine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define dataset<\/span>\ndata &lt;- c(2, 4, 4, 7, 8, 12, 14, 15, 19, 22)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek varyans\u0131n\u0131<\/strong> R&#8217;deki <strong>var()<\/strong> fonksiyonunu kullanarak hesaplayabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate sample variance<\/span>\nvar(data)\n\n[1] 46.01111\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ve <strong>pop\u00fclasyon varyans\u0131n\u0131<\/strong> basit\u00e7e \u00f6rnek varyans\u0131n\u0131 (n-1)\/n ile \u00e7arparak a\u015fa\u011f\u0131daki gibi hesaplayabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#determine length of data\n<span style=\"color: #000000;\">n &lt;- <span style=\"color: #3366ff;\">length<\/span> (data)<\/span>\n\n#calculate population variance<\/span>\nvar(data) * (n-1)\/n\n\n[1] 41.41\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Pop\u00fclasyon varyans\u0131n\u0131n her zaman \u00f6rneklem varyans\u0131ndan daha az olaca\u011f\u0131n\u0131 unutmay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uygulamada genellikle veri k\u00fcmeleri i\u00e7in \u00f6rnek varyanslar\u0131 hesaplar\u0131z \u00e7\u00fcnk\u00fc t\u00fcm pop\u00fclasyon i\u00e7in veri toplamak al\u0131\u015f\u0131lmad\u0131k bir durumdur.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Birka\u00e7 s\u00fctundan olu\u015fan bir \u00f6rne\u011fin varyans\u0131n\u0131 hesaplama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R&#8217;de a\u015fa\u011f\u0131daki veri \u00e7er\u00e7evesine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<span style=\"color: #000000;\">data &lt;- data.frame(a=c(1, 3, 4, 4, 6, 7, 8, 12),\n                   b=c(2, 4, 4, 5, 5, 6, 7, 16),\n                   c=c(6, 6, 7, 8, 8, 9, 9, 12))\n\n<span style=\"color: #008080;\">#view data frame<\/span>\ndata\n\n   ABC\n1 1 2 6\n2 3 4 6\n3 4 4 7\n4 4 5 8\n5 6 5 8\n6 7 6 9\n7 8 7 9\n8 12 16 12<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Veri \u00e7er\u00e7evesindeki her s\u00fctunun \u00f6rnek varyans\u0131n\u0131 hesaplamak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/rde-lapply-sapply-ve-tapply-uygulama-kilavuzu\/\" target=\"_blank\" rel=\"noopener noreferrer\">sapply()<\/a> i\u015flevini kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find sample variance of each column\n<span style=\"color: #000000;\">sapply(data, var)\n\n        ABC\n11.696429 18.125000 3.839286<\/span>\n<\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Her bir s\u00fctunun \u00f6rnek standart sapmas\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki kodu kullanabiliriz; bu, yaln\u0131zca \u00f6rnek varyans\u0131n karek\u00f6k\u00fcd\u00fcr:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find sample standard deviation of each column\n<span style=\"color: #000000;\">sapply(data, sd)\n\n       ABC\n3.420004 4.257347 1.959410<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><em>Daha fazla R e\u011fitimini burada bulabilirsiniz.<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Varyans , veri de\u011ferlerinin ortalama etraf\u0131nda ne kadar iyi da\u011f\u0131ld\u0131\u011f\u0131n\u0131 \u00f6l\u00e7menin bir yoludur. Bir pop\u00fclasyonun varyans\u0131n\u0131 bulma form\u00fcl\u00fc \u015f\u00f6yledir: \u03c3 2 = \u03a3 (x ben \u2013 \u03bc) 2 \/ N burada \u03bc pop\u00fclasyon ortalamas\u0131d\u0131r, xi pop\u00fclasyonun i&#8217;inci eleman\u0131d\u0131r, N pop\u00fclasyon b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr ve \u03a3 sadece &#8220;toplam&#8221; anlam\u0131na gelen s\u00fcsl\u00fc bir sembold\u00fcr. Bir numunenin varyans\u0131n\u0131 bulma form\u00fcl\u00fc [&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-1245","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>R&#039;de \u00f6rnek ve pop\u00fclasyon varyans\u0131 nas\u0131l hesaplan\u0131r?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, R&#039;de \u00f6rnek varyans\u0131n\u0131n ve pop\u00fclasyon varyans\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 \u00e7e\u015fitli \u00f6rneklerle 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\/rdeki-varyans\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R&#039;de \u00f6rnek ve pop\u00fclasyon varyans\u0131 nas\u0131l hesaplan\u0131r?\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, R&#039;de \u00f6rnek varyans\u0131n\u0131n ve pop\u00fclasyon varyans\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 \u00e7e\u015fitli \u00f6rneklerle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/rdeki-varyans\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T04:01:05+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\/rdeki-varyans\/\",\"url\":\"https:\/\/statorials.org\/tr\/rdeki-varyans\/\",\"name\":\"R&#39;de \u00f6rnek ve pop\u00fclasyon varyans\u0131 nas\u0131l hesaplan\u0131r?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T04:01:05+00:00\",\"dateModified\":\"2023-07-27T04:01:05+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, R&#39;de \u00f6rnek varyans\u0131n\u0131n ve pop\u00fclasyon varyans\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 \u00e7e\u015fitli \u00f6rneklerle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/rdeki-varyans\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/rdeki-varyans\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/rdeki-varyans\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"R&#39;de \u00f6rnek ve pop\u00fclasyon varyans\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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