{"id":1283,"date":"2023-07-27T00:47:36","date_gmt":"2023-07-27T00:47:36","guid":{"rendered":"https:\/\/statorials.org\/tr\/pythonda-medyan-mutlak-sapma\/"},"modified":"2023-07-27T00:47:36","modified_gmt":"2023-07-27T00:47:36","slug":"pythonda-medyan-mutlak-sapma","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/pythonda-medyan-mutlak-sapma\/","title":{"rendered":"Python&#39;da mutlak medyan sapma nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Medyan mutlak sapma,<\/strong> bir veri setindeki <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlemlerin<\/a> da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7er.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6zellikle yararl\u0131 bir \u00f6l\u00e7\u00fcmd\u00fcr \u00e7\u00fcnk\u00fc standart sapma ve varyans gibi di\u011fer da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcmlerine g\u00f6re ayk\u0131r\u0131 de\u011ferlerden daha az etkilenir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genellikle MAD olarak k\u0131salt\u0131lan mutlak medyan sapmay\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MAD = medyan (|x <sub>i<\/sub> \u2013 x <sub>m<\/sub> |)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub> :<\/strong> veri k\u00fcmesinin <sup>i&#8217;inci<\/sup> de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>m<\/sub> :<\/strong> Veri k\u00fcmesindeki medyan de\u011fer<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler Python&#8217;da <a href=\"https:\/\/www.statsmodels.org\/stable\/index.html\" target=\"_blank\" rel=\"noopener\">statsmodels<\/a> <strong>mad<\/strong> i\u015flevini kullanarak medyan mutlak sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Bir tablo i\u00e7in MAD&#8217;yi hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, Python&#8217;da tek bir NumPy dizisi i\u00e7in medyan mutlak 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: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> statsmodels <span style=\"color: #008000;\">import<\/span> robust<\/span>\n\n#define data\n<\/span>data = np. <span style=\"color: #3366ff;\">array<\/span> ([1, 4, 4, 7, 12, 13, 16, 19, 22, 24])\n\n<span style=\"color: #008080;\">#calculate MAD\n<\/span>robust. <span style=\"color: #3366ff;\">mad<\/span> (data)\n\n11.1195\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Veri k\u00fcmesinin medyan mutlak sapmas\u0131 <strong>11,1195<\/strong> olarak ortaya \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">MAD&#8217;yi hesaplamak i\u00e7in kullan\u0131lan form\u00fcl\u00fcn, sonucu yakla\u015f\u0131k 0,67 fakt\u00f6r\u00fcyle \u00f6l\u00e7eklendirerek normal da\u011f\u0131l\u0131m varsayarak standart sapman\u0131n sa\u011flam bir tahminini hesaplad\u0131\u011f\u0131n\u0131 unutmamak \u00f6nemlidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6l\u00e7eklendirme fakt\u00f6r\u00fcn\u00fc kullanmaktan ka\u00e7\u0131nmak i\u00e7in c = 1&#8217;i a\u015fa\u011f\u0131daki gibi ayarlaman\u0131z yeterlidir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate MAD without scaling factor\n<\/span>robust. <span style=\"color: #3366ff;\">mad<\/span> (data, c=1)\n\n7.5<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: DataFrame i\u00e7in MAD&#8217;yi hesaplama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, pandas DataFrame&#8217;deki tek bir s\u00fctun i\u00e7in MAD&#8217;nin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#create pandas DataFrame\n<\/span>data = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ( <span style=\"color: #3366ff;\">np.random.randint<\/span> (0,10,size=(5,3)),columns <span style=\"color: #3366ff;\">=<\/span> [' <span style=\"color: #008000;\">A<\/span> ',' <span style=\"color: #008000;\">B<\/span> ',' <span style=\"color: #008000;\">C<\/span> '])\n\n<span style=\"color: #008080;\">#view DataFrame\n<\/span>data\n\n        A B C\n0 5 8 9\n1 5 0 0\n2 1 7 6\n3 9 2 4\n4 5 2 4\n\n<span style=\"color: #008080;\">#calculate MAD for column <em>B<\/em>\n<span style=\"color: #000000;\">data[[' <span style=\"color: #008000;\">B<\/span> ']]. <span style=\"color: #3366ff;\">apply<\/span> (robust. <span style=\"color: #3366ff;\">mad<\/span> )\n\nB 2.965204\ndtype:float64<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><em>B<\/em> s\u00fctununun mutlak medyan sapmas\u0131 <strong>2,965204<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Pandalar\u0131n DataFrame&#8217;indeki birden fazla s\u00fctun i\u00e7in MAD&#8217;yi hesaplamak amac\u0131yla benzer s\u00f6zdizimini kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#calculate MAD for all columns<\/span>\ndata[[' <span style=\"color: #008000;\">A<\/span> ',' <span style=\"color: #008000;\">B<\/span> ',' <span style=\"color: #008000;\">C<\/span> ']]. <span style=\"color: #3366ff;\">apply<\/span> (robust. <span style=\"color: #3366ff;\">mad<\/span> )\n\nAt 0.000000\nB 2.965204\nC 2.965204\ndtype:float64\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Mutlak medyan sapma A s\u00fctunu i\u00e7in <b>0<\/b> , B s\u00fctunu i\u00e7in <strong>2,965204<\/strong> ve C s\u00fctunu i\u00e7in <b>2,965204&#8217;t\u00fcr<\/b> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/piton-karti\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da MAPE nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/smape-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da SMAPE nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rmse-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da RMSE Nas\u0131l Hesaplan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Medyan mutlak sapma, bir veri setindeki g\u00f6zlemlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7er. Bu \u00f6zellikle yararl\u0131 bir \u00f6l\u00e7\u00fcmd\u00fcr \u00e7\u00fcnk\u00fc standart sapma ve varyans gibi di\u011fer da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcmlerine g\u00f6re ayk\u0131r\u0131 de\u011ferlerden daha az etkilenir. Genellikle MAD olarak k\u0131salt\u0131lan mutlak medyan sapmay\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir: MAD = medyan (|x i \u2013 x m |) Alt\u0131n: x i : veri k\u00fcmesinin i&#8217;inci [&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-1283","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 mutlak medyan sapma nas\u0131l hesaplan\u0131r<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da medyan mutlak sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131 birka\u00e7 \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-medyan-mutlak-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 mutlak medyan sapma nas\u0131l hesaplan\u0131r\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde Python&#039;da medyan mutlak sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131 birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/pythonda-medyan-mutlak-sapma\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T00:47:36+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\/pythonda-medyan-mutlak-sapma\/\",\"url\":\"https:\/\/statorials.org\/tr\/pythonda-medyan-mutlak-sapma\/\",\"name\":\"Python&#39;da mutlak medyan sapma nas\u0131l hesaplan\u0131r\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T00:47:36+00:00\",\"dateModified\":\"2023-07-27T00:47:36+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde Python&#39;da medyan mutlak sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131 birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/pythonda-medyan-mutlak-sapma\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/pythonda-medyan-mutlak-sapma\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/pythonda-medyan-mutlak-sapma\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python&#39;da mutlak medyan sapma 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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