{"id":510,"date":"2023-07-29T16:22:24","date_gmt":"2023-07-29T16:22:24","guid":{"rendered":"https:\/\/statorials.org\/tr\/levenes-testi-r\/"},"modified":"2023-07-29T16:22:24","modified_gmt":"2023-07-29T16:22:24","slug":"levenes-testi-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/levenes-testi-r\/","title":{"rendered":"R&#39;deki varyanslar\u0131n e\u015fitli\u011fi i\u00e7in levene testi nas\u0131l yap\u0131l\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir\u00e7ok istatistiksel test ( <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova-r\/\" target=\"_blank\" rel=\"noopener\">tek y\u00f6nl\u00fc ANOVA<\/a> veya <a href=\"https:\/\/statorials.org\/tr\/anova-ra-iki-yonlu\/\" target=\"_blank\" rel=\"noopener\">iki y\u00f6nl\u00fc ANOVA<\/a> gibi), birden fazla grup aras\u0131ndaki varyans\u0131n e\u015fit oldu\u011funu varsayar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu hipotezi resmi olarak test etmenin bir yolu, iki veya daha fazla grup aras\u0131ndaki varyans\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test eden <strong>Levene testini<\/strong> kullanmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu test a\u015fa\u011f\u0131daki varsay\u0131mlara dayanmaktad\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>S\u0131f\u0131r hipotezi (H <sub>0<\/sub> )<\/strong> : Gruplar aras\u0131ndaki varyans e\u015fittir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Alternatif hipotez ( <sub>HA<\/sub> )<\/strong> : Gruplar aras\u0131ndaki varyans e\u015fit <em>de\u011fildir<\/em> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Testin p de\u011feri se\u00e7ilen anlaml\u0131l\u0131k d\u00fczeyinden k\u00fc\u00e7\u00fckse, s\u0131f\u0131r hipotezini reddedebilir ve gruplar aras\u0131ndaki varyans\u0131n e\u015fit olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z oldu\u011fu sonucuna varabiliriz.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>R&#8217;de Levene testi nas\u0131l yap\u0131l\u0131r?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">R&#8217;de Levene testini ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanan <strong>ara\u00e7<\/strong> k\u00fct\u00fcphanesindeki <strong>leveneTest()<\/strong> fonksiyonunu kullanabiliriz:<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\">leveneTest (yan\u0131t de\u011fi\u015fkeni ~ grup de\u011fi\u015fkeni, veri = veri)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rnek olarak, insanlar\u0131n \u00fc\u00e7 farkl\u0131 kilo verme program\u0131yla ne kadar kilo verdiklerini g\u00f6steren a\u015fa\u011f\u0131daki veri \u00e7er\u00e7evesini d\u00fc\u015f\u00fcn\u00fcn:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seeds<\/span> (0)\n\n<span style=\"color: #008080;\">#create data frame\n<\/span>data &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (program = rep(c(\"A\", \"B\", \"C\"), each = <span style=\"color: #008000;\">30<\/span> ),\n                   weight_loss = c(runif(30, 0, 3),\n                                   runif(30, 0, 5),\n                                   runif(30, 1, 7)))\n\n<span style=\"color: #008080;\">#view first six rows of data frame\n<\/span>head(data)\n\n# program weight_loss\n#1 A 2.6900916\n#2 A 0.7965260\n#3 A 1.1163717\n#4 A 1.7185601\n#5 A 2.7246234\n#6 A 0.6050458<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu \u00fc\u00e7 program aras\u0131ndaki kilo kayb\u0131 varyans\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 kontrol etmek i\u00e7in <strong>leveneTest()<\/strong> fonksiyonunu kullanabilir ve anlaml\u0131l\u0131k d\u00fczeyi olarak 0,05&#8217;i kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load car package\n<\/span><span style=\"color: #008000;\">library<\/span> (car)\n\n<span style=\"color: #008080;\">#conduct Levene's Test for equality of variances\n<\/span>leveneTest(weight_loss ~ program, data = data)\n\n#Levene's Test for Homogeneity of Variance (center = median)\n# Df F value Pr(&gt;F)  \n#group 2 4.1716 0.01862 *\n#87                  \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Testin p de\u011feri <strong>0,01862<\/strong> olup, bizim anlaml\u0131l\u0131k seviyemiz olan 0,05&#8217;in alt\u0131ndad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla s\u0131f\u0131r hipotezini reddediyoruz ve \u00fc\u00e7 grup aras\u0131ndaki varyans\u0131n e\u015fit <em>olmad\u0131\u011f\u0131<\/em> sonucuna var\u0131yoruz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Varyanslardaki farkl\u0131l\u0131klar\u0131 g\u00f6rselle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Levene testini yaparak \u00fc\u00e7 grup aras\u0131ndaki varyanslar\u0131n e\u015fit olmad\u0131\u011f\u0131n\u0131 biliyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu testi ger\u00e7ekle\u015ftirmenin yan\u0131 s\u0131ra, \u00fc\u00e7 grubun her biri i\u00e7in a\u011f\u0131rl\u0131k kayb\u0131 da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6steren kutu grafikleri olu\u015fturabiliriz, b\u00f6ylece Levene testinin varyanslar\u0131n e\u015fitli\u011fine ili\u015fkin s\u0131f\u0131r hipotezini neden reddetti\u011fini g\u00f6rsel olarak anlayabiliriz.<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>boxplot(weight_loss ~ program,\n  data = data,\n  main = \"Weight Loss Distribution by Program\",\n  xlab = \"Program\",\n  ylab = \"Weight Loss\",\n  col = \"steelblue\",\n  border = \"black\")<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">C program\u0131ndaki kat\u0131l\u0131mc\u0131lar i\u00e7in kilo kayb\u0131ndaki varyans\u0131n di\u011fer iki programa g\u00f6re \u00f6nemli \u00f6l\u00e7\u00fcde daha y\u00fcksek oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle Levene testinin, varyanslar\u0131n \u00fc\u00e7 grup aras\u0131nda e\u015fit oldu\u011funa ili\u015fkin s\u0131f\u0131r hipotezini reddetmesi mant\u0131kl\u0131d\u0131r.<\/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 Levene testinin farkl\u0131 istatistiksel yaz\u0131l\u0131mlarda nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/levenes-excel-testi\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Levene testi nas\u0131l yap\u0131l\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/levenes-test-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Levene testi nas\u0131l yap\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/levenes-spss-testi\/\" target=\"_blank\" rel=\"noopener\">SPSS&#8217;de Levene Testi Nas\u0131l Yap\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/levenes-durum-testi\/\" target=\"_blank\" rel=\"noopener\">Stata&#8217;da Levene testi nas\u0131l yap\u0131l\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir\u00e7ok istatistiksel test ( tek y\u00f6nl\u00fc ANOVA veya iki y\u00f6nl\u00fc ANOVA gibi), birden fazla grup aras\u0131ndaki varyans\u0131n e\u015fit oldu\u011funu varsayar. Bu hipotezi resmi olarak test etmenin bir yolu, iki veya daha fazla grup aras\u0131ndaki varyans\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test eden Levene testini kullanmakt\u0131r. Bu test a\u015fa\u011f\u0131daki varsay\u0131mlara dayanmaktad\u0131r: S\u0131f\u0131r hipotezi (H 0 ) : Gruplar [&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-510","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 - Statorialsde varyanslar\u0131n e\u015fitli\u011fi i\u00e7in Levene testi nas\u0131l yap\u0131l\u0131r?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, R&#039;deki varyanslar\u0131n e\u015fitli\u011fi i\u00e7in Levene testinin nas\u0131l kolayca ger\u00e7ekle\u015ftirilece\u011fi 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\/levenes-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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