{"id":1097,"date":"2023-07-27T16:34:56","date_gmt":"2023-07-27T16:34:56","guid":{"rendered":"https:\/\/statorials.org\/tr\/verileri-rye-donustur\/"},"modified":"2023-07-27T16:34:56","modified_gmt":"2023-07-27T16:34:56","slug":"verileri-rye-donustur","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/verileri-rye-donustur\/","title":{"rendered":"R&#39;de veri nas\u0131l d\u00f6n\u00fc\u015ft\u00fcr\u00fcl\u00fcr (log, kare k\u00f6k, k\u00fcp k\u00f6k)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir\u00e7ok istatistiksel test, bir <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">yan\u0131t de\u011fi\u015fkeninin<\/a> art\u0131klar\u0131n\u0131n normal \u015fekilde da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak art\u0131klar \u00e7o\u011fu zaman normal da\u011f\u0131l\u0131ma sahip <em>de\u011fildir<\/em> . Bu sorunu \u00e7\u00f6zmenin bir yolu, yan\u0131t de\u011fi\u015fkenini \u00fc\u00e7 d\u00f6n\u00fc\u015f\u00fcmden birini kullanarak d\u00f6n\u00fc\u015ft\u00fcrmektir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. G\u00fcnl\u00fck d\u00f6n\u00fc\u015f\u00fcm\u00fc:<\/strong> yan\u0131t de\u011fi\u015fkenini y&#8217;den <strong>log(y)&#8217;<\/strong> ye d\u00f6n\u00fc\u015ft\u00fcr\u00fcn.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Karek\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fc:<\/strong> Yan\u0131t de\u011fi\u015fkenini y&#8217;den <strong><span style=\"text-decoration: overline;\">\u221ay&#8217;ye<\/span><\/strong> d\u00f6n\u00fc\u015ft\u00fcr\u00fcn.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. K\u00fcp k\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fc:<\/strong> yan\u0131t de\u011fi\u015fkenini y&#8217;den <strong>y <sup>1\/3&#8217;e<\/sup><\/strong> d\u00f6n\u00fc\u015ft\u00fcr\u00fcn.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu d\u00f6n\u00fc\u015f\u00fcmleri ger\u00e7ekle\u015ftirerek, yan\u0131t de\u011fi\u015fkeni genellikle normal da\u011f\u0131l\u0131ma yakla\u015f\u0131r. A\u015fa\u011f\u0131daki \u00f6rnekler bu d\u00f6n\u00fc\u015f\u00fcmlerin R&#8217;de nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>R&#8217;de g\u00fcnl\u00fck d\u00f6n\u00fc\u015f\u00fcm\u00fc<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bir yan\u0131t de\u011fi\u015fkeninde g\u00fcnl\u00fck d\u00f6n\u00fc\u015f\u00fcm\u00fcn\u00fcn nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;- data.frame(y=c(1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 7, 8),\n                 x1=c(7, 7, 8, 3, 2, 4, 4, 6, 6, 7, 5, 3, 3, 5, 8),\n                 x2=c(3, 3, 6, 6, 8, 9, 9, 8, 8, 7, 4, 3, 3, 2, 7))\n\n<span style=\"color: #008080;\">#perform log transformation\n<\/span>log_y &lt;- log10(df$y)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bir log d\u00f6n\u00fc\u015f\u00fcm\u00fc ger\u00e7ekle\u015ftirmeden \u00f6nce ve sonra <em>y<\/em> da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6r\u00fcnt\u00fclemek i\u00e7in histogramlar\u0131n nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create histogram for original distribution<\/span>\nhist(df$y, col='steelblue', main='Original')\n\n<span style=\"color: #008080;\">#create histogram for log-transformed distribution<\/span> \nhist(log_y, col='coral2', main='Log Transformed')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11185 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/transformationr1.png\" alt=\"R'de veri d\u00f6n\u00fc\u015f\u00fcm\u00fcn\u00fc g\u00fcnl\u00fc\u011fe kaydet\" width=\"677\" height=\"333\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Log-d\u00f6n\u00fc\u015ft\u00fcr\u00fclm\u00fc\u015f da\u011f\u0131l\u0131m\u0131n orijinal da\u011f\u0131l\u0131mdan \u00e7ok daha normal oldu\u011funa dikkat edin. Hala m\u00fckemmel bir &#8220;\u00e7an \u015fekli&#8221; de\u011fil ama normal da\u011f\u0131l\u0131ma orijinal da\u011f\u0131l\u0131mdan daha yak\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Asl\u0131nda, her da\u011f\u0131l\u0131ma bir<a href=\"https:\/\/statorials.org\/tr\/shapiro-wilk-testi-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">Shapiro-Wilk testi<\/a> uygularsak, orijinal da\u011f\u0131l\u0131m\u0131n normallik varsay\u0131m\u0131n\u0131 kar\u015f\u0131layamad\u0131\u011f\u0131n\u0131, log-d\u00f6n\u00fc\u015ft\u00fcr\u00fclm\u00fc\u015f da\u011f\u0131l\u0131m\u0131n ise ba\u015faramad\u0131\u011f\u0131n\u0131 g\u00f6r\u00fcr\u00fcz (\u03b1 = 0,05&#8217;te):<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform Shapiro-Wilk Test on original data<\/span>\nshapiro.test(df$y)\n\n\tShapiro-Wilk normality test\n\ndata: df$y\nW = 0.77225, p-value = 0.001655\n\n<span style=\"color: #008080;\">#perform Shapiro-Wilk Test on log-transformed data<\/span> \nshapiro.test(log_y)\n<span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">\n\tShapiro-Wilk normality test<\/span><\/span>\n\ndata:log_y\nW = 0.89089, p-value = 0.06917<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>R&#8217;de karek\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fc<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bir yan\u0131t de\u011fi\u015fkeninde karek\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fcn\u00fcn nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;- data.frame(y=c(1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 7, 8),\n                 x1=c(7, 7, 8, 3, 2, 4, 4, 6, 6, 7, 5, 3, 3, 5, 8),\n                 x2=c(3, 3, 6, 6, 8, 9, 9, 8, 8, 7, 4, 3, 3, 2, 7))\n\n<span style=\"color: #008080;\">#perform square root transformation\n<\/span>sqrt_y &lt;- sqrt(df$y)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, karek\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fc ger\u00e7ekle\u015ftirmeden \u00f6nce ve sonra <em>y<\/em> da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6r\u00fcnt\u00fclemek i\u00e7in histogramlar\u0131n nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create histogram for original distribution<\/span>\nhist(df$y, col='steelblue', main='Original')\n\n<span style=\"color: #008080;\">#create histogram for square root-transformed distribution<\/span> \nhist(sqrt_y, col='coral2', main='Square Root Transformed')<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11186 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/transformerr2.png\" alt=\"R'de karek\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fc\" width=\"675\" height=\"335\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Karek\u00f6k d\u00f6n\u00fc\u015ft\u00fcr\u00fclm\u00fc\u015f da\u011f\u0131l\u0131m\u0131n orijinal da\u011f\u0131l\u0131mdan \u00e7ok daha normal da\u011f\u0131ld\u0131\u011f\u0131na dikkat edin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>R&#8217;de k\u00fcp k\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fc<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bir yan\u0131t de\u011fi\u015fkeninde k\u00fcp k\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fcn\u00fcn nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;- data.frame(y=c(1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 7, 8),\n                 x1=c(7, 7, 8, 3, 2, 4, 4, 6, 6, 7, 5, 3, 3, 5, 8),\n                 x2=c(3, 3, 6, 6, 8, 9, 9, 8, 8, 7, 4, 3, 3, 2, 7))\n\n<span style=\"color: #008080;\">#perform square root transformation\n<\/span>cube_y &lt;- df$y^(1\/3)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, karek\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fc ger\u00e7ekle\u015ftirmeden \u00f6nce ve sonra <em>y<\/em> da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6r\u00fcnt\u00fclemek i\u00e7in histogramlar\u0131n nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create histogram for original distribution<\/span>\nhist(df$y, col='steelblue', main='Original')\n\n<span style=\"color: #008080;\">#create histogram for square root-transformed distribution<\/span> \nhist(cube_y, col='coral2', main='Cube Root Transformed')<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11187 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/transformerr3.png\" alt=\"R'de k\u00fcp k\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fc\" width=\"678\" height=\"330\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Veri k\u00fcmenize ba\u011fl\u0131 olarak bu d\u00f6n\u00fc\u015f\u00fcmlerden biri, di\u011ferlerinden daha normal \u015fekilde da\u011f\u0131t\u0131lan yeni bir veri k\u00fcmesi \u00fcretebilir.<\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir\u00e7ok istatistiksel test, bir yan\u0131t de\u011fi\u015fkeninin art\u0131klar\u0131n\u0131n normal \u015fekilde da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayar. Ancak art\u0131klar \u00e7o\u011fu zaman normal da\u011f\u0131l\u0131ma sahip de\u011fildir . Bu sorunu \u00e7\u00f6zmenin bir yolu, yan\u0131t de\u011fi\u015fkenini \u00fc\u00e7 d\u00f6n\u00fc\u015f\u00fcmden birini kullanarak d\u00f6n\u00fc\u015ft\u00fcrmektir: 1. G\u00fcnl\u00fck d\u00f6n\u00fc\u015f\u00fcm\u00fc: yan\u0131t de\u011fi\u015fkenini y&#8217;den log(y)&#8217; ye d\u00f6n\u00fc\u015ft\u00fcr\u00fcn. 2. Karek\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fc: Yan\u0131t de\u011fi\u015fkenini y&#8217;den \u221ay&#8217;ye d\u00f6n\u00fc\u015ft\u00fcr\u00fcn. 3. K\u00fcp k\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fc: yan\u0131t de\u011fi\u015fkenini [&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-1097","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 Veri Nas\u0131l D\u00f6n\u00fc\u015ft\u00fcr\u00fcl\u00fcr (Log, Kare K\u00f6k, K\u00fcp K\u00f6k)<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde verilerin R&#039;de nas\u0131l d\u00f6n\u00fc\u015ft\u00fcr\u00fclece\u011fi \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 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