{"id":1249,"date":"2023-07-27T03:40:05","date_gmt":"2023-07-27T03:40:05","guid":{"rendered":"https:\/\/statorials.org\/tr\/box-cox-donusumu-pitonu\/"},"modified":"2023-07-27T03:40:05","modified_gmt":"2023-07-27T03:40:05","slug":"box-cox-donusumu-pitonu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/box-cox-donusumu-pitonu\/","title":{"rendered":"Python&#39;da box-cox d\u00f6n\u00fc\u015f\u00fcm\u00fc nas\u0131l ger\u00e7ekle\u015ftirilir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Box-cox d\u00f6n\u00fc\u015f\u00fcm\u00fc,<\/strong> normal olarak da\u011f\u0131t\u0131lmayan bir veri k\u00fcmesini daha normal olarak da\u011f\u0131t\u0131lan bir k\u00fcmeye d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in yayg\u0131n olarak kullan\u0131lan bir y\u00f6ntemdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntemin arkas\u0131ndaki temel fikir, a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak d\u00f6n\u00fc\u015ft\u00fcr\u00fclen verinin normal da\u011f\u0131l\u0131ma m\u00fcmk\u00fcn oldu\u011funca yak\u0131n olmas\u0131n\u0131 sa\u011flayacak bir \u03bb de\u011feri bulmakt\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">y(\u03bb) = (y <sup>\u03bb<\/sup> \u2013 1) \/ \u03bb e\u011fer y \u2260 0 ise<\/span><\/li>\n<li> <span style=\"color: #000000;\">y(\u03bb) = log(y) e\u011fer y = 0 ise<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Python&#8217;da <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.boxcox.html\" target=\"_blank\" rel=\"noopener noreferrer\">scipy.stats.boxcox()<\/a> fonksiyonunu kullanarak box-cox d\u00f6n\u00fc\u015f\u00fcm\u00fc ger\u00e7ekle\u015ftirebiliriz.<\/span><\/p>\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 Box-Cox d\u00f6n\u00fc\u015f\u00fcm\u00fc<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/ustel-dagilim-1\/\" target=\"_blank\" rel=\"noopener\">\u00dcstel bir da\u011f\u0131l\u0131mdan<\/a> rastgele 1000 de\u011fer k\u00fcmesi olu\u015fturdu\u011fumuzu varsayal\u0131m:<\/span><\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load necessary packages<\/span>\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np \n<span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> boxcox \n<span style=\"color: #008000;\">import<\/span> seaborn <span style=\"color: #008000;\">as<\/span> sns \n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seeds<\/span> (0)\n\n<span style=\"color: #008080;\">#generate dataset\n<\/span>data = np. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">exponential<\/span> (size= <span style=\"color: #008000;\">1000<\/span> )\n\n<span style=\"color: #008080;\">#plot the distribution of data values\n<\/span>sns. <span style=\"color: #3366ff;\">distplot<\/span> (data, hist= <span style=\"color: #008000;\">False<\/span> , kde= <span style=\"color: #008000;\">True<\/span> ) \n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12345 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/boitecox1.png\" alt=\"\" width=\"391\" height=\"265\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131m\u0131n normal g\u00f6r\u00fcnmedi\u011fini g\u00f6rebiliyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha normal bir da\u011f\u0131l\u0131m \u00fcreten optimal lambda de\u011ferini bulmak i\u00e7in <strong>boxcox()<\/strong> i\u015flevini kullanabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform Box-Cox transformation on original data\n<\/span>transformed_data, best_lambda = boxcox(data) \n\n<span style=\"color: #008080;\">#plot the distribution of the transformed data values\n<\/span>sns. <span style=\"color: #3366ff;\">distplot<\/span> (transformed_data, hist= <span style=\"color: #008000;\">False<\/span> , kde= <span style=\"color: #008000;\">True<\/span> )<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12346 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/boitecox2.png\" alt=\"Python'da Box-Cox d\u00f6n\u00fc\u015f\u00fcm\u00fc\" width=\"416\" height=\"267\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">D\u00f6n\u00fc\u015ft\u00fcr\u00fclen verilerin \u00e7ok daha normal bir da\u011f\u0131l\u0131m izledi\u011fini g\u00f6r\u00fcyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Box-Cox d\u00f6n\u00fc\u015f\u00fcm\u00fcn\u00fc ger\u00e7ekle\u015ftirmek i\u00e7in kullan\u0131lan tam lambda de\u011ferini de bulabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#display optimal lambda value\n<\/span><span style=\"color: #008000;\">print<\/span> (best_lambda)\n\n0.2420131978174143\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Optimum lambdan\u0131n <strong>0,242<\/strong> civar\u0131nda oldu\u011fu bulundu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">B\u00f6ylece, her bir veri de\u011feri a\u015fa\u011f\u0131daki denklem kullan\u0131larak d\u00f6n\u00fc\u015ft\u00fcr\u00fcld\u00fc:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yeni = (eski <sup>0,242<\/sup> \u2013 1) \/ 0,242<\/span><\/p>\n<p> <span style=\"color: #000000;\">Orijinal verinin de\u011ferleri ile d\u00f6n\u00fc\u015ft\u00fcr\u00fclm\u00fc\u015f verinin de\u011ferlerine bakarak bunu do\u011frulayabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view first five values of original dataset\n<\/span>data[0:5]\n\narray([0.79587451, 1.25593076, 0.92322315, 0.78720115, 0.55104849])\n\n<span style=\"color: #008080;\">#view first five values of transformed dataset\n<\/span>transformed_data[0:5]\n\narray([-0.22212062, 0.23427768, -0.07911706, -0.23247555, -0.55495228])\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Orijinal veri k\u00fcmesindeki ilk de\u011fer <strong>0,79587<\/strong> idi. Bu de\u011feri d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc uygulad\u0131k:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yeni = (.79587 <sup>0.242<\/sup> \u2013 1) \/ 0.242 = <strong>-0.222<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">D\u00f6n\u00fc\u015ft\u00fcr\u00fclen veri k\u00fcmesindeki ilk de\u011ferin ger\u00e7ekten <strong>-0,222<\/strong> oldu\u011funu do\u011frulayabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/tr\/bazi-python-arsalari\/\" target=\"_blank\" rel=\"noopener noreferrer\">Python&#8217;da QQ Grafi\u011fi Nas\u0131l Olu\u015fturulur ve Yorumlan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/shapiro-wilk-testi-pitonu\/\" target=\"_blank\" rel=\"noopener noreferrer\">Python&#8217;da Shapiro-Wilk Normallik Testi Nas\u0131l Yap\u0131l\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Box-cox d\u00f6n\u00fc\u015f\u00fcm\u00fc, normal olarak da\u011f\u0131t\u0131lmayan bir veri k\u00fcmesini daha normal olarak da\u011f\u0131t\u0131lan bir k\u00fcmeye d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in yayg\u0131n olarak kullan\u0131lan bir y\u00f6ntemdir. Bu y\u00f6ntemin arkas\u0131ndaki temel fikir, a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak d\u00f6n\u00fc\u015ft\u00fcr\u00fclen verinin normal da\u011f\u0131l\u0131ma m\u00fcmk\u00fcn oldu\u011funca yak\u0131n olmas\u0131n\u0131 sa\u011flayacak bir \u03bb de\u011feri bulmakt\u0131r: y(\u03bb) = (y \u03bb \u2013 1) \/ \u03bb e\u011fer y \u2260 0 ise [&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-1249","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 Box-Cox d\u00f6n\u00fc\u015f\u00fcm\u00fc nas\u0131l ger\u00e7ekle\u015ftirilir - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;daki bir veri k\u00fcmesinde Box-Cox d\u00f6n\u00fc\u015f\u00fcm\u00fcn\u00fcn nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi 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\/box-cox-donusumu-pitonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da Box-Cox d\u00f6n\u00fc\u015f\u00fcm\u00fc nas\u0131l ger\u00e7ekle\u015ftirilir - 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