{"id":484,"date":"2023-07-29T18:24:50","date_gmt":"2023-07-29T18:24:50","guid":{"rendered":"https:\/\/statorials.org\/tr\/manovadan-rye\/"},"modified":"2023-07-29T18:24:50","modified_gmt":"2023-07-29T18:24:50","slug":"manovadan-rye","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/manovadan-rye\/","title":{"rendered":"R&#39;de manova nas\u0131l ger\u00e7ekle\u015ftirilir"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">MANOVA&#8217;y\u0131 anlamak i\u00e7in \u00f6ncelikle ANOVA&#8217;y\u0131 anlamak faydal\u0131 olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">ANOVA<\/a> (varyans analizi) kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, \u00e7al\u0131\u015fma tekni\u011finin bir s\u0131n\u0131ftaki \u00f6\u011frencilerin s\u0131nav puanlar\u0131 \u00fczerinde etkisinin olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. S\u0131n\u0131f\u0131 rastgele \u00fc\u00e7 gruba ay\u0131rd\u0131k. Her grup bir s\u0131nava haz\u0131rlanmak i\u00e7in bir ay boyunca farkl\u0131 bir \u00e7al\u0131\u015fma tekni\u011fi kullan\u0131r. Ay sonunda t\u00fcm \u00f6\u011frenciler ayn\u0131 s\u0131nava girerler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7al\u0131\u015fma tekni\u011finin s\u0131nav puanlar\u0131 \u00fczerinde etkisi olup olmad\u0131\u011f\u0131n\u0131 \u00f6\u011frenmek i\u00e7in tek y\u00f6nl\u00fc bir ANOVA ger\u00e7ekle\u015ftirebiliriz; bu bize \u00fc\u00e7 grubun ortalama puanlar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyecektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA&#8217;da bir yan\u0131t de\u011fi\u015fkenimiz var. Ancak <strong>MANOVA&#8217;da<\/strong> (\u00e7ok de\u011fi\u015fkenli varyans analizi), birden fazla yan\u0131t de\u011fi\u015fkenimiz vard\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, e\u011fitim seviyesinin (lise, \u00f6nlisans, lisans, y\u00fcksek lisans vb.) hem y\u0131ll\u0131k gelir hem de \u00f6\u011frenci borcu miktar\u0131 \u00fczerindeki etkisinin ne oldu\u011funu bilmek istedi\u011fimizi varsayal\u0131m. Bu durumda elimizde bir fakt\u00f6r (e\u011fitim d\u00fczeyi) ve iki yan\u0131t de\u011fi\u015fkenimiz (y\u0131ll\u0131k gelir ve \u00f6\u011frenci borcu) var, dolay\u0131s\u0131yla tek y\u00f6nl\u00fc bir MANOVA ger\u00e7ekle\u015ftirebiliyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong><\/span> ANOVA, ANCOVA, MANOVA ve MANCOVA Aras\u0131ndaki Farklar\u0131 Anlamak<\/p>\n<h2> <span style=\"color: #000000;\"><strong>R&#8217;de MANOVA nas\u0131l ger\u00e7ekle\u015ftirilir<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekte, \u00fc\u00e7 farkl\u0131 t\u00fcre (\u201csetosa\u201d, \u201cvirginica\u201d) y\u00f6nelik farkl\u0131 \u00e7i\u00e7ek \u00f6l\u00e7\u00fcmlerinin uzunlu\u011fu ve geni\u015fli\u011fi hakk\u0131nda bilgi i\u00e7eren yerle\u015fik <strong>iris<\/strong> veri k\u00fcmesini kullanarak R&#8217;de tek y\u00f6nl\u00fc MANOVA&#8217;n\u0131n nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterece\u011fiz. , \u201c\u00e7ok renkli\u201d):<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view first six rows of <em>iris<\/em> dataset<\/span>\nhead(iris)\n\n# Sepal.Length Sepal.Width Petal.Length Petal.Width Species\n#1 5.1 3.5 1.4 0.2 setosa\n#2 4.9 3.0 1.4 0.2 setosa\n#3 4.7 3.2 1.3 0.2 setosa\n#4 4.6 3.1 1.5 0.2 setosa\n#5 5.0 3.6 1.4 0.2 setosa\n#6 5.4 3.9 1.7 0.4 setosa\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">T\u00fcrlerin \u00e7anak yaprak uzunlu\u011fu ve geni\u015fli\u011fi \u00fczerinde bir etkisinin olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. <em>T\u00fcrleri<\/em> ba\u011f\u0131ms\u0131z de\u011fi\u015fken olarak ve sepal <em>uzunlu\u011fu<\/em> ve <em>geni\u015fli\u011fini<\/em> yan\u0131t de\u011fi\u015fkenleri olarak kullanarak, R&#8217;deki <strong>manova()<\/strong> i\u015flevini kullanarak tek y\u00f6nl\u00fc bir MANOVA ger\u00e7ekle\u015ftirebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>manova()<\/strong> i\u015flevi a\u015fa\u011f\u0131daki s\u00f6zdizimini kullan\u0131r:<\/span><\/p>\n<p style=\"text-align: left;\"> <strong><span style=\"color: #000000;\">manova (cbind (rv1, rv2, \u2026) ~ iv, veri)<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>rv1, rv2<\/strong> : yan\u0131t de\u011fi\u015fkeni 1, yan\u0131t de\u011fi\u015fkeni 2, vb.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>iv<\/strong> : ba\u011f\u0131ms\u0131z de\u011fi\u015fken<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>data<\/strong> : veri \u00e7er\u00e7evesinin ad\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0130ris veri seti i\u00e7eren \u00f6rne\u011fimizde, bir MANOVA yerle\u015ftirebilir ve a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanarak sonu\u00e7lar\u0131 g\u00f6r\u00fcnt\u00fcleyebiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit the MANOVA model<\/span>\nmodel &lt;- manova(cbind(Sepal.Length, Sepal.Width) ~ Species, data = iris)\n\n<span style=\"color: #008080;\">#view the results\n<\/span>summary(model)\n# Df Pillai approx F num Df den Df Pr(&gt;F)    \n#Species 2 0.94531 65.878 4,294 &lt; 2.2e-16 ***\n#Residuals 147                                             \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan F istatisti\u011finin 65,878 oldu\u011funu ve buna kar\u015f\u0131l\u0131k gelen p de\u011ferinin son derece k\u00fc\u00e7\u00fck oldu\u011funu g\u00f6rebiliriz. Bu durum sepal \u00f6l\u00e7\u00fcmlerinde t\u00fcrlere g\u00f6re istatistiksel olarak anlaml\u0131 bir farkl\u0131l\u0131k oldu\u011funu g\u00f6stermektedir.<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>Teknik not:<\/strong> Manova() varsay\u0131lan olarak <em>Pillai<\/em> test istatisti\u011fini kullan\u0131r. Bu test istatisti\u011finin da\u011f\u0131l\u0131m\u0131 karma\u015f\u0131k oldu\u011fundan, daha kolay yorumlanabilmesi i\u00e7in yakla\u015f\u0131k bir F de\u011feri de verilmi\u015ftir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ek olarak, a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanarak test istatisti\u011fi olarak &#8216;Roy&#8217;, &#8216;Hotelling-Lawley&#8217; veya &#8216;Wilks&#8217;i belirtmek m\u00fcmk\u00fcnd\u00fcr: Summary(model, test = &#8216;Wilks&#8217;)<\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Sepal <em>uzunlu\u011fu<\/em> ve <em>geni\u015fli\u011finin<\/em> <em>t\u00fcrlerden<\/em> tam olarak nas\u0131l etkilendi\u011fini bulmak i\u00e7in a\u015fa\u011f\u0131daki kodda g\u00f6sterildi\u011fi gibi <strong>Summary.aov()<\/strong> i\u015flevini kullanarak tek de\u011fi\u015fkenli ANOVA&#8217;lar ger\u00e7ekle\u015ftirebiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>summary.aov(model)\n\n\n# Response Sepal.Length:\n# Df Sum Sq Mean Sq F value Pr(&gt;F)    \n#Species 2 63.212 31.606 119.26 &lt; 2.2e-16 ***\n#Residuals 147 38.956 0.265                      \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\n# Response Sepal.Width:\n# Df Sum Sq Mean Sq F value Pr(&gt;F)    \n#Species 2 11.345 5.6725 49.16 &lt; 2.2e-16 ***\n#Residuals 147 16.962 0.1154                      \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan, her iki tek de\u011fi\u015fkenli ANOVA&#8217;n\u0131n p de\u011ferlerinin son derece d\u00fc\u015f\u00fck oldu\u011funu (&lt;2.2e-16) g\u00f6rebiliyoruz, bu da <em>t\u00fcrlerin<\/em> <em>sepal<\/em> <em>geni\u015flik<\/em> ve uzunluk \u00fczerinde istatistiksel olarak anlaml\u0131 bir etkiye sahip oldu\u011funu g\u00f6steriyor.<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">Grubun kaynaklar\u0131n\u0131 g\u00f6rselle\u015ftirin<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Sonu\u00e7lar\u0131m\u0131z\u0131 daha iyi anlamak i\u00e7in ba\u011f\u0131ms\u0131z de\u011fi\u015fken <em>t\u00fcrlerimizin<\/em> her d\u00fczeyine ili\u015fkin grup ortalamalar\u0131n\u0131 g\u00f6rselle\u015ftirmek de yararl\u0131 olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, <em>t\u00fcrlere<\/em> g\u00f6re <em>sepallerin ortalama uzunlu\u011funu<\/em> g\u00f6rselle\u015ftirmek i\u00e7in <strong>gplots<\/strong> k\u00fct\u00fcphanesini <strong>veplotmeans()<\/strong> fonksiyonunu kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load <em>gplots<\/em> library<\/span>\nlibrary(gplots)\n\n<span style=\"color: #008080;\">#visualize mean <em>sepal length<\/em> by <em>species<\/em>\n<\/span>plotmeans(iris$Sepal.Length ~ iris$Species)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Grafikten ortalama sepal uzunlu\u011funun t\u00fcrler aras\u0131nda b\u00fcy\u00fck \u00f6l\u00e7\u00fcde de\u011fi\u015fti\u011fini g\u00f6rebiliriz. Bu, bize t\u00fcrler aras\u0131nda sepal \u00f6l\u00e7\u00fcmlerde istatistiksel olarak anlaml\u0131 bir fark oldu\u011funu s\u00f6yleyen MANOVA&#8217;m\u0131z\u0131n sonu\u00e7lar\u0131yla e\u015fle\u015fiyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ayr\u0131ca <em>t\u00fcrlere<\/em> g\u00f6re <em>sepallerin ortalama geni\u015fli\u011fini<\/em> de g\u00f6rselle\u015ftirebiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>plotmeans(iris$Sepal.Width ~ iris$Species)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Manova()<\/strong> i\u015flevine ili\u015fkin t\u00fcm belgelere <a href=\"https:\/\/www.rdocumentation.org\/packages\/stats\/versions\/3.5.2\/topics\/manova\" target=\"_blank\" rel=\"noopener\">buradan<\/a> bak\u0131n.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>MANOVA&#8217;y\u0131 anlamak i\u00e7in \u00f6ncelikle ANOVA&#8217;y\u0131 anlamak faydal\u0131 olacakt\u0131r. \u00dc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in ANOVA (varyans analizi) kullan\u0131l\u0131r. \u00d6rne\u011fin, \u00e7al\u0131\u015fma tekni\u011finin bir s\u0131n\u0131ftaki \u00f6\u011frencilerin s\u0131nav puanlar\u0131 \u00fczerinde etkisinin olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. S\u0131n\u0131f\u0131 rastgele \u00fc\u00e7 gruba ay\u0131rd\u0131k. Her grup bir s\u0131nava haz\u0131rlanmak 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-484","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 MANOVA nas\u0131l ger\u00e7ekle\u015ftirilir?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R&#039;de MANOVA&#039;n\u0131n (\u00e7ok de\u011fi\u015fkenli varyans analizi) kolayca nas\u0131l 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\/manovadan-rye\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - Statorialsde MANOVA nas\u0131l ger\u00e7ekle\u015ftirilir?\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde R&#039;de MANOVA&#039;n\u0131n (\u00e7ok de\u011fi\u015fkenli varyans analizi) kolayca nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/manovadan-rye\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T18:24:50+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=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/manovadan-rye\/\",\"url\":\"https:\/\/statorials.org\/tr\/manovadan-rye\/\",\"name\":\"R - Statorialsde MANOVA nas\u0131l ger\u00e7ekle\u015ftirilir?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T18:24:50+00:00\",\"dateModified\":\"2023-07-29T18:24:50+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde R&#39;de MANOVA&#39;n\u0131n (\u00e7ok de\u011fi\u015fkenli varyans analizi) kolayca nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/manovadan-rye\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/manovadan-rye\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/manovadan-rye\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"R&#39;de manova nas\u0131l ger\u00e7ekle\u015ftirilir\"}]},{\"@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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