{"id":2471,"date":"2023-07-22T03:20:55","date_gmt":"2023-07-22T03:20:55","guid":{"rendered":"https:\/\/statorials.org\/tr\/pythonda-agirlikli-standart-sapma\/"},"modified":"2023-07-22T03:20:55","modified_gmt":"2023-07-22T03:20:55","slug":"pythonda-agirlikli-standart-sapma","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/pythonda-agirlikli-standart-sapma\/","title":{"rendered":"Python&#39;da 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;\"><span style=\"color: #000000;\">Python&#8217;da a\u011f\u0131rl\u0131kl\u0131 standart sapmay\u0131 hesaplaman\u0131n en kolay yolu statsmodels paketindeki <a href=\"https:\/\/www.statsmodels.org\/dev\/generated\/statsmodels.stats.weightstats.DescrStatsW.html\" target=\"_blank\" rel=\"noopener\">DescrStatsW()<\/a> i\u015flevini kullanmakt\u0131r:<\/span><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>DescrStatsW(values, weights=weights, ddof= <span style=\"color: #008000;\">1<\/span> ). <span style=\"color: #3366ff;\">std<\/span>\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekte bu fonksiyonun pratikte nas\u0131l kullan\u0131laca\u011f\u0131 g\u00f6sterilmektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Python&#8217;da A\u011f\u0131rl\u0131kland\u0131r\u0131lm\u0131\u015f Standart Sapma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki veri de\u011ferleri dizisine ve kar\u015f\u0131l\u0131k gelen a\u011f\u0131rl\u0131klara sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data values<\/span> \nvalues = [14, 19, 22, 25, 29, 31, 31, 38, 40, 41]\n\n<span style=\"color: #008080;\">#define weights\n<\/span>weights = [1, 1, 1.5, 2, 2, 1.5, 1, 2, 3, 2]\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bu veri de\u011ferleri dizisi 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;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">from<\/span> statsmodels. <span style=\"color: #3366ff;\">stats<\/span> . <span style=\"color: #3366ff;\">weightstats<\/span> <span style=\"color: #008000;\">import<\/span> DescrStatsW\n\n<span style=\"color: #008080;\">#calculate weighted standard deviation\n<\/span>DescrStatsW(values, weights=weights, ddof= <span style=\"color: #008000;\">1<\/span> ). <span style=\"color: #3366ff;\">std\n\n<span style=\"color: #000000;\">8.570050878426773\n<\/span><\/span><\/strong><\/span><\/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<p> <span style=\"color: #000000;\">A\u011f\u0131rl\u0131kl\u0131 varyans\u0131 h\u0131zl\u0131 bir \u015fekilde hesaplamak i\u00e7in <strong>var<\/strong> komutunu da kullanabilece\u011fimizi unutmay\u0131n:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">from<\/span> statsmodels. <span style=\"color: #3366ff;\">stats<\/span> . <span style=\"color: #3366ff;\">weightstats<\/span> <span style=\"color: #008000;\">import<\/span> DescrStatsW\n\n<span style=\"color: #008080;\">#calculate weighted variance\n<\/span>DescrStatsW(values, weights=weights, ddof= <span style=\"color: #008000;\">1<\/span> ). <span style=\"color: #3366ff;\">var\n\n<span style=\"color: #000000;\">73.44577205882352<\/span><\/span><\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">A\u011f\u0131rl\u0131kl\u0131 varyans\u0131n <strong>73.446<\/strong> oldu\u011fu ortaya \u00e7\u0131k\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde di\u011fer istatistiksel yaz\u0131l\u0131mlarda a\u011f\u0131rl\u0131kl\u0131 standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\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-agirlikli-standart-sapma\/\" target=\"_blank\" rel=\"noopener\">R cinsinden a\u011f\u0131rl\u0131kl\u0131 standart sapma 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-2471","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 A\u011f\u0131rl\u0131kl\u0131 Standart Sapma Nas\u0131l Hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da a\u011f\u0131rl\u0131kl\u0131 standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131 bir \u00f6rnekle 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\/pythonda-agirlikli-standart-sapma\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da A\u011f\u0131rl\u0131kl\u0131 Standart Sapma Nas\u0131l Hesaplan\u0131r - 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