{"id":1069,"date":"2023-07-27T19:00:49","date_gmt":"2023-07-27T19:00:49","guid":{"rendered":"https:\/\/statorials.org\/tr\/cok-degiskenli-normallik-testi-r\/"},"modified":"2023-07-27T19:00:49","modified_gmt":"2023-07-27T19:00:49","slug":"cok-degiskenli-normallik-testi-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/cok-degiskenli-normallik-testi-r\/","title":{"rendered":"R&#39;de \u00e7ok de\u011fi\u015fkenli normallik testleri nas\u0131l yap\u0131l\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Tek bir de\u011fi\u015fkenin normal da\u011f\u0131l\u0131p da\u011f\u0131lmad\u0131\u011f\u0131n\u0131 test etmek istedi\u011fimizde, da\u011f\u0131l\u0131m\u0131 g\u00f6rselle\u015ftirmek i\u00e7in bir <a href=\"https:\/\/statorials.org\/tr\/birisi-ilgisini-cekiyor\/\" target=\"_blank\" rel=\"noopener noreferrer\">QQ grafi\u011fi<\/a> olu\u015fturabilir veya <a href=\"https:\/\/statorials.org\/tr\/anderson-cheri-testi-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">Anderson Darling testi<\/a> veya Jarque-Bera testi gibi resmi bir istatistiksel test ger\u00e7ekle\u015ftirebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak <em>birden fazla<\/em> de\u011fi\u015fkenin grup halinde normal da\u011f\u0131l\u0131p da\u011f\u0131lmad\u0131\u011f\u0131n\u0131 test etmek istedi\u011fimizde <strong>\u00e7ok de\u011fi\u015fkenli normallik testi<\/strong> yapmam\u0131z gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, R&#8217;deki belirli bir veri k\u00fcmesi i\u00e7in a\u015fa\u011f\u0131daki \u00e7ok de\u011fi\u015fkenli normallik testlerinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Mardia&#8217;n\u0131n testi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Enerji testi<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00c7ok de\u011fi\u015fkenli bas\u0131kl\u0131k ve \u00e7arp\u0131kl\u0131k testleri<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong> \u00c7ok de\u011fi\u015fkenli bir ba\u011flamda ayk\u0131r\u0131 de\u011ferleri belirlemek istiyorsak <a href=\"https:\/\/statorials.org\/tr\/mahalanobis-mesafesi-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">Mahalanobis mesafesini<\/a> kullanabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Mardia&#8217;n\u0131n R&#8217;deki testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Mardia testi,<\/strong> bir grup de\u011fi\u015fkenin \u00e7ok de\u011fi\u015fkenli normal da\u011f\u0131l\u0131ma uyup uymad\u0131\u011f\u0131n\u0131 belirler. Testin s\u0131f\u0131r ve alternatif hipotezleri a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">H <sub>0<\/sub> (bo\u015f): De\u011fi\u015fkenler \u00e7ok de\u011fi\u015fkenli normal da\u011f\u0131l\u0131ma uygundur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">H <sub>a<\/sub> (alternatif): De\u011fi\u015fkenler \u00e7ok de\u011fi\u015fkenli normal da\u011f\u0131l\u0131ma <em>uymamaktad\u0131r<\/em> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, <strong>QuantPsyc<\/strong> paketini kullanarak bu testin R&#8217;de nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\">library<\/span> (QuantPsyc)\n\n<span style=\"color: #008080;\">#create dataset\n<span style=\"color: #000000;\">set.seed(0)\n\ndata &lt;- data.frame(x1 = rnorm(50),\n                   x2 = rnorm(50),\n                   x3 = rnorm(50))<\/span>\n\n#perform Multivariate normality test\n<span style=\"color: #000000;\">mult.norm(data)$ <span style=\"color: #800080;\">mult.test\n\n<\/span><\/span><\/span>Beta-hat kappa p-val\nSkewness 1.630474 13.5872843 0.1926626\nKurtosis 13.895364 -0.7130395 0.4758213\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>mult.norm()<\/strong> i\u015flevi, veri k\u00fcmesinin hem \u00e7arp\u0131kl\u0131\u011f\u0131nda hem de bas\u0131kl\u0131\u011f\u0131nda \u00e7ok de\u011fi\u015fkenli normalli\u011fi test eder. Her iki p de\u011feri de 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan testin s\u0131f\u0131r hipotezini reddedemiyoruz. Veri setimizdeki \u00fc\u00e7 de\u011fi\u015fkenin \u00e7ok de\u011fi\u015fkenli bir da\u011f\u0131l\u0131m izlemedi\u011fine dair hi\u00e7bir kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de enerji testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Enerji<\/strong> <strong>testi,<\/strong> bir grup de\u011fi\u015fkenin \u00e7ok de\u011fi\u015fkenli normal da\u011f\u0131l\u0131ma uyup uymad\u0131\u011f\u0131n\u0131 belirleyen ba\u015fka bir istatistiksel testtir. Testin s\u0131f\u0131r ve alternatif hipotezleri a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">H <sub>0<\/sub> (bo\u015f): De\u011fi\u015fkenler \u00e7ok de\u011fi\u015fkenli normal da\u011f\u0131l\u0131ma uygundur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">H <sub>a<\/sub> (alternatif): De\u011fi\u015fkenler \u00e7ok de\u011fi\u015fkenli normal da\u011f\u0131l\u0131ma <em>uymamaktad\u0131r<\/em> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, <b>enerji<\/b> paketini kullanarak bu testin R&#8217;de nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\">library<\/span> (energy)\n\n<span style=\"color: #008080;\">#create dataset\n<span style=\"color: #000000;\">set.seed(0)\n\ndata &lt;- data.frame(x1 = rnorm(50),\n                   x2 = rnorm(50),\n                   x3 = rnorm(50))<\/span>\n\n#perform Multivariate normality test\n<span style=\"color: #000000;\">mvnorm.etest(data, R= <span style=\"color: #008000;\">100<\/span> )\n\n<\/span><\/span>Energy test of multivariate normality: estimated parameters\n\ndata: x, sample size 50, dimension 3, replicates 100\nE-statistic = 0.90923, p-value = 0.31\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Testin p de\u011feri <strong>0,31&#8217;dir<\/strong> . Bu rakam 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131 i\u00e7in testin s\u0131f\u0131r hipotezini reddedemiyoruz. Veri setimizdeki \u00fc\u00e7 de\u011fi\u015fkenin \u00e7ok de\u011fi\u015fkenli bir da\u011f\u0131l\u0131m izlemedi\u011fine dair hi\u00e7bir kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Not:<\/strong> R=100 ba\u011f\u0131ms\u0131z de\u011fi\u015fkeni, testi \u00e7al\u0131\u015ft\u0131r\u0131rken kullan\u0131lacak 100 y\u00fckseltme e\u015flemeli kopyay\u0131 belirtir. Daha k\u00fc\u00e7\u00fck \u00f6rneklem boyutlar\u0131na sahip veri k\u00fcmeleri i\u00e7in, test istatisti\u011fine ili\u015fkin daha g\u00fcvenilir bir tahmin elde etmek amac\u0131yla bu say\u0131y\u0131 art\u0131rabilirsiniz.<\/em><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/birisi-ilgisini-cekiyor\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de QQ grafi\u011fi nas\u0131l olu\u015fturulur ve yorumlan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/anderson-cheri-testi-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de Anderson-Darling testi nas\u0131l yap\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-jarque-bera-testi-nasil-yapilir\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de Jarque-Bera testi nas\u0131l yap\u0131l\u0131r<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/shapiro-wilk-testi-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de Shapiro-Wilk testi nas\u0131l yap\u0131l\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tek bir de\u011fi\u015fkenin normal da\u011f\u0131l\u0131p da\u011f\u0131lmad\u0131\u011f\u0131n\u0131 test etmek istedi\u011fimizde, da\u011f\u0131l\u0131m\u0131 g\u00f6rselle\u015ftirmek i\u00e7in bir QQ grafi\u011fi olu\u015fturabilir veya Anderson Darling testi veya Jarque-Bera testi gibi resmi bir istatistiksel test ger\u00e7ekle\u015ftirebiliriz. Ancak birden fazla de\u011fi\u015fkenin grup halinde normal da\u011f\u0131l\u0131p da\u011f\u0131lmad\u0131\u011f\u0131n\u0131 test etmek istedi\u011fimizde \u00e7ok de\u011fi\u015fkenli normallik testi yapmam\u0131z gerekir. Bu e\u011fitimde, R&#8217;deki belirli bir veri k\u00fcmesi i\u00e7in [&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-1069","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 - Statorials&#039;ta \u00e7ok de\u011fi\u015fkenli normallik testleri nas\u0131l yap\u0131l\u0131r?<\/title>\n<meta name=\"description\" content=\"R&#039;de \u00e7ok de\u011fi\u015fkenli normallik testlerinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin birka\u00e7 \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klama.\" \/>\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\/cok-degiskenli-normallik-testi-r\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - 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