{"id":491,"date":"2023-07-29T17:51:19","date_gmt":"2023-07-29T17:51:19","guid":{"rendered":"https:\/\/statorials.org\/tr\/bartletts-kureselit-testi\/"},"modified":"2023-07-29T17:51:19","modified_gmt":"2023-07-29T17:51:19","slug":"bartletts-kureselit-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/bartletts-kureselit-testi\/","title":{"rendered":"Bartlett'in k\u00fcresellik testi k\u0131lavuzu"},"content":{"rendered":"

<\/p>\n

\n

Bartlett’in k\u00fcresellik testi,<\/strong> g\u00f6zlemlenen korelasyon matrisini \u00f6zde\u015flik matrisiyle kar\u015f\u0131la\u015ft\u0131r\u0131r. Temel olarak de\u011fi\u015fkenler aras\u0131nda bir dizi fakt\u00f6rle \u00f6zetlenebilecek bir fazlal\u0131k olup olmad\u0131\u011f\u0131n\u0131 kontrol eder.<\/span><\/p>\n

Testin s\u0131f\u0131r hipotezi, de\u011fi\u015fkenlerin dik, yani ili\u015fkisiz oldu\u011fu y\u00f6n\u00fcndedir. Alternatif hipotez, de\u011fi\u015fkenlerin dik olmad\u0131\u011f\u0131, yani korelasyon matrisinin birim matristen \u00f6nemli \u00f6l\u00e7\u00fcde sapt\u0131\u011f\u0131 noktayla yeterince ili\u015fkili oldu\u011fu y\u00f6n\u00fcndedir.<\/span><\/p>\n

Bu test genellikle, bir veri azaltma tekni\u011finin verileri ger\u00e7ekten anlaml\u0131 bir \u015fekilde s\u0131k\u0131\u015ft\u0131rabildi\u011fini do\u011frulamak i\u00e7in temel bile\u015fen analizi veya fakt\u00f6r analizi gibi bir veri azaltma tekni\u011fi kullan\u0131lmadan \u00f6nce ger\u00e7ekle\u015ftirilir.<\/span><\/p>\n

\n

Not:<\/strong> Bartlett’in k\u00fcresellik testi , Bartlett’in varyanslar\u0131n e\u015fitli\u011fi testiyle<\/a> ayn\u0131 de\u011fildir. Bu, ikisinin benzer isimlere sahip olmas\u0131 nedeniyle yayg\u0131n bir kar\u0131\u015f\u0131kl\u0131kt\u0131r.<\/span><\/p>\n<\/blockquote>\n

Korelasyon matrisi ve kimlik matrisi<\/span><\/strong><\/h2>\n

Korelasyon matrisi,<\/strong> basit\u00e7e de\u011fi\u015fkenler aras\u0131ndaki korelasyon katsay\u0131lar\u0131n\u0131 g\u00f6steren bir de\u011ferler matrisidir. \u00d6rne\u011fin a\u015fa\u011f\u0131daki korelasyon matrisi, profesyonel basketbol tak\u0131mlar\u0131 i\u00e7in farkl\u0131 de\u011fi\u015fkenler aras\u0131ndaki korelasyon katsay\u0131lar\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n

Korelasyon katsay\u0131lar\u0131<\/a> -1’den 1’e kadar de\u011fi\u015febilir. De\u011fer 0’dan ne kadar uzaksa iki de\u011fi\u015fken aras\u0131ndaki korelasyon da o kadar y\u00fcksek olur.<\/span><\/p>\n

Birim matris,<\/strong> k\u00f6\u015fegen \u00fczerindeki t\u00fcm de\u011ferlerin 1 ve di\u011fer t\u00fcm de\u011ferlerin 0 oldu\u011fu bir matristir.<\/span><\/p>\n

Bu durumda, e\u011fer bu matristeki say\u0131lar korelasyon katsay\u0131lar\u0131n\u0131 temsil ediyorsa, bu, her de\u011fi\u015fkenin di\u011fer t\u00fcm de\u011fi\u015fkenlere tamamen dik (yani “ili\u015fkisiz”) oldu\u011fu anlam\u0131na gelir ve bu nedenle PCA veya fakt\u00f6r analizi gibi bir veri azaltma tekni\u011fi ” verileri anlaml\u0131 bir \u015fekilde s\u0131k\u0131\u015ft\u0131r\u0131n.<\/span><\/p>\n

Dolay\u0131s\u0131yla Bartlett k\u00fcresellik testini uygulamam\u0131z\u0131n nedeni, veri setimizdeki de\u011fi\u015fkenlerin korelasyon matrisinin birim matristen \u00f6nemli \u00f6l\u00e7\u00fcde sapmas\u0131n\u0131 sa\u011flamak, b\u00f6ylece bir indirgeme tekni\u011fi verilerinin kullan\u0131lmas\u0131n\u0131n uygun oldu\u011funu biliyoruz.<\/span><\/p>\n

Bartlett’in k\u00fcresellik testinin p de\u011feri se\u00e7ilen anlaml\u0131l\u0131k seviyesinden d\u00fc\u015f\u00fckse (ortak se\u00e7enekler 0,10, 0,05 ve 0,01’dir), bu durumda veri k\u00fcmemiz veri azaltma tekni\u011fi i\u00e7in uygundur.<\/span><\/p>\n

R’de Bartlett’in k\u00fcresellik testi nas\u0131l ger\u00e7ekle\u015ftirilir?<\/span><\/strong><\/h2>\n

R’de Bartlett’in k\u00fcresellik testini ger\u00e7ekle\u015ftirmek i\u00e7in psych<\/strong> k\u00fct\u00fcphanesindeki cortest.bartlett()<\/strong> fonksiyonunu kullanabiliriz. Bu fonksiyonun genel s\u00f6zdizimi a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n

cortest.bartlett(R, n)<\/span><\/p>\n

    \n
  • R: veri k\u00fcmesinin bir korelasyon matrisi<\/span><\/li>\n
  • n: veri k\u00fcmesinin \u00f6rnek boyutu<\/span><\/li>\n<\/ul>\n

    A\u015fa\u011f\u0131daki kod, bu testin olu\u015fturdu\u011fumuz sahte bir veri k\u00fcmesi \u00fczerinde nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n

     #make this example reproducible\n<\/span>set.seed(0)\n\n#create fake data\n<\/span>data <- data.frame(A = rnorm(50, 1, 4), B = rnorm(50, 3, 6), C = rnorm(50, 5, 8))\n\n#view first six rows of data\n<\/span>head(data)\n#ABC\n#1 6.0518171 4.5968242 11.25487348\n#2 -0.3049334 0.7397837 -1.21421297\n#3 6.3191971 17.6481878 0.07208074\n#4 6.0897173 -1.7720347 5.37264242\n#5 2.6585657 2.6707352 -4.04308622\n#6 -5.1598002 4.5008479 9.61375026\n\n#find correlation matrix of data\n<\/span>cor_matrix <- cor(data)\n\n#view correlation matrix\n<\/span>cor_matrix\n\n#ABC\n#A 1.0000000 0.1600155667 0.2825308511\n#B 0.1600156 1.0000000000 0.0005358384\n#C 0.2825309 0.0005358384 1.0000000000\n\n#load psych library\n<\/span>library(psych)\n\n#perform Bartlett's Test of Sphericity\n<\/span>cortest.bartlett(cor_matrix, n = nrow(data))\n\n#$chisq\n#[1] 5.252329\n#\n#$p.value\n#[1] 0.1542258\n#\n#$df\n#[1] 3<\/strong><\/pre>\n
     Ki-kare testi istatisti\u011fi 5,252329’dur ve buna kar\u015f\u0131l\u0131k gelen p de\u011feri 0,1542258’dir ve bu bizim anlaml\u0131l\u0131k seviyemizden daha az de\u011fildir (0,05 kullanal\u0131m). Dolay\u0131s\u0131yla bu veriler muhtemelen PCA veya fakt\u00f6r analizi i\u00e7in uygun de\u011fildir.<\/span><\/p>\n
     Bunu basit bir ifadeyle ifade etmek gerekirse, veri setimizdeki \u00fc\u00e7 de\u011fi\u015fken yeterince ili\u015fkili de\u011fildir, bu nedenle PCA veya fakt\u00f6r analizi gibi bir veri azaltma tekni\u011fi, bu de\u011fi\u015fkenleri verilerde mevcut olan \u00f6nemli varyans\u0131 yakalayabilen do\u011frusal kombinasyonlara s\u0131k\u0131\u015ft\u0131rmada zorluk \u00e7ekecektir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
    Bartlett’in k\u00fcresellik testi, g\u00f6zlemlenen korelasyon matrisini \u00f6zde\u015flik matrisiyle kar\u015f\u0131la\u015ft\u0131r\u0131r. Temel olarak de\u011fi\u015fkenler aras\u0131nda bir dizi fakt\u00f6rle \u00f6zetlenebilecek bir fazlal\u0131k olup olmad\u0131\u011f\u0131n\u0131 kontrol eder. Testin s\u0131f\u0131r hipotezi, de\u011fi\u015fkenlerin dik, yani ili\u015fkisiz oldu\u011fu y\u00f6n\u00fcndedir. Alternatif hipotez, de\u011fi\u015fkenlerin dik olmad\u0131\u011f\u0131, yani korelasyon matrisinin birim matristen \u00f6nemli \u00f6l\u00e7\u00fcde sapt\u0131\u011f\u0131 noktayla yeterince ili\u015fkili oldu\u011fu y\u00f6n\u00fcndedir. Bu test genellikle, bir veri […]<\/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-491","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\nBartlett'in K\u00fcresellik Testi K\u0131lavuzu - Statorials<\/title>\n<meta name=\"description\" content=\"Bartlett'in k\u00fcresellik testine basit bir giri\u015f.\" \/>\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\/bartletts-kureselit-testi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bartlett'in K\u00fcresellik Testi K\u0131lavuzu - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bartlett'in k\u00fcresellik testine basit bir giri\u015f.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/bartletts-kureselit-testi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T17:51:19+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=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/bartletts-kureselit-testi\/\",\"url\":\"https:\/\/statorials.org\/tr\/bartletts-kureselit-testi\/\",\"name\":\"Bartlett'in K\u00fcresellik Testi K\u0131lavuzu - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T17:51:19+00:00\",\"dateModified\":\"2023-07-29T17:51:19+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bartlett'in k\u00fcresellik testine basit bir giri\u015f.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/bartletts-kureselit-testi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/bartletts-kureselit-testi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/bartletts-kureselit-testi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Bartlett'in k\u00fcresellik testi k\u0131lavuzu\"}]},{\"@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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