{"id":1629,"date":"2023-07-25T14:37:56","date_gmt":"2023-07-25T14:37:56","guid":{"rendered":"https:\/\/statorials.org\/tr\/r-cinsinden-agirlikli-standart-sapma\/"},"modified":"2023-07-25T14:37:56","modified_gmt":"2023-07-25T14:37:56","slug":"r-cinsinden-agirlikli-standart-sapma","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/r-cinsinden-agirlikli-standart-sapma\/","title":{"rendered":"R cinsinden a\u011f\u0131rl\u0131kl\u0131 standart sapma nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>A\u011f\u0131rl\u0131kl\u0131 standart sapma,<\/strong> veri k\u00fcmesindeki baz\u0131 de\u011ferlerin di\u011ferlerinden daha y\u00fcksek a\u011f\u0131rl\u0131\u011fa sahip oldu\u011fu durumlarda, bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin yararl\u0131 bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u011f\u0131rl\u0131kl\u0131 standart sapmay\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14345 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pondere_sd1.png\" alt=\"\" width=\"218\" height=\"92\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> Toplam <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlem<\/a> say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>M:<\/strong> S\u0131f\u0131r olmayan a\u011f\u0131rl\u0131klar\u0131n say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>w <sub>i<\/sub> :<\/strong> Bir a\u011f\u0131rl\u0131k vekt\u00f6r\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub> :<\/strong> Veri de\u011ferlerinin bir vekt\u00f6r\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x<\/span> :<\/strong> A\u011f\u0131rl\u0131kl\u0131 ortalama<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">R&#8217;de a\u011f\u0131rl\u0131kl\u0131 standart sapmay\u0131 hesaplaman\u0131n en kolay yolu, a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanan <strong>Hmisc<\/strong> paketindeki <strong>wt.var()<\/strong> i\u015flevini kullanmakt\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data values<\/span>\nx &lt;- c(4, 7, 12, 13, ...)\n\n<span style=\"color: #008080;\">#define weights\n<\/span>wt &lt;- c(.5, 1, 2, 2, ...)\n\n<span style=\"color: #008080;\">#calculate weighted variance\n<\/span>weighted_var &lt;- wtd. <span style=\"color: #3366ff;\">var<\/span> (x, wt)\n\n<span style=\"color: #008080;\">#calculate weighted standard deviation\n<\/span>weighted_sd &lt;- sqrt(weighted_var)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler bu fonksiyonun pratikte nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Bir vekt\u00f6r i\u00e7in a\u011f\u0131rl\u0131kl\u0131 standart sapma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, R&#8217;deki tek bir vekt\u00f6r i\u00e7in a\u011f\u0131rl\u0131kl\u0131 standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\">library<\/span> (Hmisc)\n\n<span style=\"color: #008080;\">#define data values<\/span> \nx &lt;- c(14, 19, 22, 25, 29, 31, 31, 38, 40, 41)\n\n<span style=\"color: #008080;\">#define weights<\/span>\nwt &lt;- c(1, 1, 1.5, 2, 2, 1.5, 1, 2, 3, 2)\n\n<span style=\"color: #008080;\">#calculate weighted variance<\/span> \nweighted_var &lt;- wtd. <span style=\"color: #3366ff;\">var<\/span> (x, wt)\n\n<span style=\"color: #008080;\">#calculate weighted standard deviation\n<\/span>sqrt(weighted_var)\n\n[1] 8.570051\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u011f\u0131rl\u0131kl\u0131 standart sapma <strong>8,57<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Veri \u00e7er\u00e7evesindeki bir s\u00fctun i\u00e7in a\u011f\u0131rl\u0131kl\u0131 standart sapma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, R&#8217;deki bir veri \u00e7er\u00e7evesinin bir s\u00fctunu i\u00e7in a\u011f\u0131rl\u0131kl\u0131 standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\">library<\/span> (Hmisc)\n<span style=\"color: #008080;\">\n#define data frame\n<span style=\"color: #000000;\">df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (team=c('A', 'A', 'A', 'A', 'A', 'B', 'B', 'C'),\n                 wins=c(2, 9, 11, 12, 15, 17, 18, 19),\n                 dots=c(1, 2, 2, 2, 3, 3, 3, 3))\n\n<span style=\"color: #008080;\">#define weights\n<\/span>wt &lt;- c(1, 1, 1.5, 2, 2, 1.5, 1, 2)\n\n<span style=\"color: #008080;\">#calculate weighted standard deviation of points\n<\/span>sqrt(wtd. <span style=\"color: #3366ff;\">var<\/span> (df$points, wt))\n\n[1] 0.6727938\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Puan s\u00fctununun a\u011f\u0131rl\u0131kl\u0131 standart sapmas\u0131 <strong>0,673<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Bir veri \u00e7er\u00e7evesindeki birden \u00e7ok s\u00fctun i\u00e7in a\u011f\u0131rl\u0131kl\u0131 standart sapma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bir veri \u00e7er\u00e7evesindeki birden \u00e7ok s\u00fctun i\u00e7in a\u011f\u0131rl\u0131kl\u0131 standart sapmay\u0131 hesaplamak \u00fczere R&#8217;deki <a href=\"https:\/\/statorials.org\/tr\/rde-lapply-sapply-ve-tapply-uygulama-kilavuzu\/\" target=\"_blank\" rel=\"noopener\">sapply()<\/a> i\u015flevinin nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\">library<\/span> (Hmisc)\n<span style=\"color: #008080;\">\n#define data frame\n<span style=\"color: #000000;\">df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (team=c('A', 'A', 'A', 'A', 'A', 'B', 'B', 'C'),\n                 wins=c(2, 9, 11, 12, 15, 17, 18, 19),\n                 dots=c(1, 2, 2, 2, 3, 3, 3, 3))\n\n<span style=\"color: #008080;\">#define weights\n<\/span>wt &lt;- c(1, 1, 1.5, 2, 2, 1.5, 1, 2)\n\n<span style=\"color: #008080;\">#calculate weighted standard deviation of points and wins\n<\/span>sapply(df[c(' <span style=\"color: #008000;\">wins<\/span> ', ' <span style=\"color: #008000;\">points<\/span> ')], function(x) sqrt(wtd. <span style=\"color: #3366ff;\">var<\/span> (x, wt)))\n\n     win points \n4.9535723 0.6727938 \n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Galibiyetler s\u00fctununun a\u011f\u0131rl\u0131kl\u0131 standart sapmas\u0131 <strong>4,954<\/strong> ve puanlar s\u00fctununun a\u011f\u0131rl\u0131kl\u0131 standart sapmas\u0131 <strong>0,673&#8217;t\u00fcr<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/agirlikli-standart-sapma-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de A\u011f\u0131rl\u0131kl\u0131 Standart Sapma Nas\u0131l Hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/r-cinsinden-standart-sapma\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de standart sapma nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rnin-degisim-katsayisi\/\" target=\"_blank\" rel=\"noopener\">R&#8217;nin varyasyon katsay\u0131s\u0131 nas\u0131l hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rdeki-plaj\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de aral\u0131k nas\u0131l hesaplan\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A\u011f\u0131rl\u0131kl\u0131 standart sapma, veri k\u00fcmesindeki baz\u0131 de\u011ferlerin di\u011ferlerinden daha y\u00fcksek a\u011f\u0131rl\u0131\u011fa sahip oldu\u011fu durumlarda, bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin yararl\u0131 bir yoludur. A\u011f\u0131rl\u0131kl\u0131 standart sapmay\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir: Alt\u0131n: N: Toplam g\u00f6zlem say\u0131s\u0131 M: S\u0131f\u0131r olmayan a\u011f\u0131rl\u0131klar\u0131n say\u0131s\u0131 w i : Bir a\u011f\u0131rl\u0131k vekt\u00f6r\u00fc x i : Veri de\u011ferlerinin bir vekt\u00f6r\u00fc x : A\u011f\u0131rl\u0131kl\u0131 [&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-1629","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 cinsinden a\u011f\u0131rl\u0131kl\u0131 standart sapma nas\u0131l hesaplan\u0131r?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R cinsinden 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