{"id":593,"date":"2023-07-29T09:47:17","date_gmt":"2023-07-29T09:47:17","guid":{"rendered":"https:\/\/statorials.org\/tr\/kendalin-tausu\/"},"modified":"2023-07-29T09:47:17","modified_gmt":"2023-07-29T09:47:17","slug":"kendalin-tausu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kendalin-tausu\/","title":{"rendered":"Kendall's tau: tan\u0131m + \u00f6rnek"},"content":{"rendered":"

<\/p>\n

\n

\u0130statistikte korelasyon<\/strong> , iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin g\u00fcc\u00fcn\u00fc ve y\u00f6n\u00fcn\u00fc ifade eder. Korelasyon katsay\u0131s\u0131n\u0131n de\u011feri -1 ile 1 aras\u0131nda de\u011fi\u015febilir; -1, m\u00fckemmel bir negatif ili\u015fkiyi, 0, hi\u00e7bir ili\u015fkinin olmad\u0131\u011f\u0131n\u0131 ve 1, m\u00fckemmel bir pozitif ili\u015fkiyi belirtir.<\/span><\/p>\n

En s\u0131k kullan\u0131lan korelasyon katsay\u0131s\u0131, iki say\u0131sal de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkiyi \u00f6l\u00e7en Pearson korelasyon katsay\u0131s\u0131d\u0131r<\/a> .<\/span><\/p>\n

Daha az kullan\u0131lan bir korelasyon katsay\u0131s\u0131, s\u0131ralanm\u0131\u015f verilerin iki s\u00fctunu aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7en Kendall’s Tau’dur<\/strong> .<\/span><\/p>\n

Genellikle \u03c4 olarak k\u0131salt\u0131lan Kendall Tau’yu hesaplama form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n

\u03c4 = (CD) \/ (C+D)<\/span><\/p>\n

Alt\u0131n:<\/span><\/p>\n

C = e\u015fle\u015fen \u00e7iftlerin say\u0131s\u0131<\/span><\/p>\n

D = uyumsuz \u00e7iftlerin say\u0131s\u0131<\/span><\/p>\n

A\u015fa\u011f\u0131daki \u00f6rnek, s\u0131ralanm\u0131\u015f verilerin iki s\u00fctunu i\u00e7in Kendall’\u0131n Tau s\u0131ra korelasyon katsay\u0131s\u0131n\u0131 hesaplamak amac\u0131yla bu form\u00fcl\u00fcn nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n

Kendall’s Tau’yu hesaplama \u00f6rne\u011fi<\/strong><\/span><\/h2>\n

\u0130ki basketbol ko\u00e7unun oyuncular\u0131n\u0131 en k\u00f6t\u00fcden en iyiye do\u011fru 12. s\u0131rada s\u0131ralad\u0131\u011f\u0131n\u0131 varsayal\u0131m. A\u015fa\u011f\u0131daki tabloda her antren\u00f6r\u00fcn oyunculara atad\u0131\u011f\u0131 s\u0131ralamalar g\u00f6sterilmektedir:<\/span> <\/p>\n

\"Kendall'\u0131n<\/p>\n

\u0130ki s\u00fctun dereceli veriyle \u00e7al\u0131\u015ft\u0131\u011f\u0131m\u0131zdan, iki antren\u00f6r\u00fcn s\u0131ralamas\u0131 aras\u0131ndaki korelasyonu hesaplamak i\u00e7in Kendall’\u0131n Tau’sunu kullanmak uygundur. Kendall’s Tau’yu hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 izleyin:<\/span><\/p>\n

Ad\u0131m 1: E\u015fle\u015fen \u00e7iftlerin say\u0131s\u0131n\u0131 say\u0131n.<\/strong><\/span><\/p>\n

Sadece 2 numaral\u0131 antren\u00f6r\u00fcn s\u0131ralamas\u0131na bak\u0131n. \u0130lk oyuncudan ba\u015flayarak, onun alt\u0131ndaki ka\u00e7 s\u0131ran\u0131n daha uzun<\/em> oldu\u011funu say\u0131n. \u00d6rne\u011fin \u201c1\u201din alt\u0131nda daha b\u00fcy\u00fck 11 say\u0131 var, dolay\u0131s\u0131yla 11 yazaca\u011f\u0131z:<\/span> <\/p>\n

\"Kendall<\/p>\n

Bir sonraki oyuncuya ge\u00e7in ve i\u015flemi tekrarlay\u0131n. \u201c2\u201dnin alt\u0131nda daha b\u00fcy\u00fck 10 say\u0131 var, dolay\u0131s\u0131yla 10 yazaca\u011f\u0131z:<\/span> <\/p>\n

\"Kendalls<\/p>\n

S\u0131ralamas\u0131 kendisinden \u00f6nceki oyuncudan daha d\u00fc\u015f\u00fck<\/em> olan bir oyuncuya ula\u015ft\u0131\u011f\u0131m\u0131zda, ona basit\u00e7e kendisinden \u00f6nceki oyuncuyla ayn\u0131 de\u011fer atan\u0131r. \u00d6rne\u011fin, Elliot’\u0131n s\u0131ralamas\u0131 “4”t\u00fcr ve bu, \u00f6nceki oyuncunun “5” olan s\u0131ralamas\u0131ndan daha d\u00fc\u015f\u00fckt\u00fcr, dolay\u0131s\u0131yla kendisine, kendisinden \u00f6nceki oyuncuyla ayn\u0131 de\u011fer atan\u0131r:<\/span> <\/p>\n

\"Kendall'\u0131n<\/p>\n

Bu i\u015flemi t\u00fcm oyuncular i\u00e7in tekrarlay\u0131n:<\/span> <\/p>\n

\"Kendall'\u0131n<\/p>\n

Ad\u0131m 2: Uyumsuz \u00e7iftlerin say\u0131s\u0131n\u0131 say\u0131n.<\/strong><\/span><\/p>\n

Tekrar ediyorum, sadece 2 numaral\u0131 Ko\u00e7un s\u0131ralamas\u0131na bak\u0131n. Her oyuncu i\u00e7in, kendisinin alt\u0131ndaki ka\u00e7 s\u0131ran\u0131n daha k\u00fc\u00e7\u00fck<\/em> oldu\u011funu say\u0131n. \u00d6rne\u011fin, 2 numaral\u0131 Ko\u00e7 AJ’ye s\u0131ralamay\u0131 “1” olarak atad\u0131 ve onun alt\u0131ndaki hi\u00e7bir oyuncunun daha d\u00fc\u015f\u00fck bir s\u0131ralamas\u0131 yok. B\u00f6ylece ona 0 de\u011ferini atad\u0131k:<\/span> <\/p>\n

\"Uyumsuz<\/p>\n

Bu i\u015flemi her oyuncu i\u00e7in tekrarlay\u0131n:<\/span> <\/p>\n

\"Kendall'\u0131n<\/p>\n

Ad\u0131m 3: Her s\u00fctunun toplam\u0131n\u0131 hesaplay\u0131n ve Kendall’\u0131n Tau’sunu bulun.<\/strong><\/span> <\/p>\n

\"Kendall'\u0131n<\/p>\n

Kendall’\u0131n Tau’su = (CD) \/ (C+D) = (63-3) \/ (63+3) = (60\/66) = 0,909<\/strong> .<\/span><\/p>\n

Kendall Tau’nun istatistiksel \u00f6nemi<\/strong><\/span><\/h2>\n

N=10’dan fazla \u00e7iftiniz oldu\u011funda Kendall’s Tau genellikle normal bir da\u011f\u0131l\u0131m izler. Kendall’s Tau’nun z-puan\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabilirsiniz:<\/p>\n

z = 3\u03c4*\u221a n(n-1)<\/span> \/ \u221a 2(2n+5)<\/span><\/span><\/p>\n

Alt\u0131n:<\/span><\/p>\n

\u03c4 = Kendall’s Tau i\u00e7in hesaplad\u0131\u011f\u0131n\u0131z de\u011fer<\/span><\/p>\n

n = \u00e7ift say\u0131s\u0131<\/span><\/p>\n

\u00d6nceki \u00f6rnek i\u00e7in z’nin<\/em> nas\u0131l hesaplanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n

z = 3(.909)*\u221a 12(12-1)<\/span> \/ \u221a 2(2*12+5)<\/span> = 4,11<\/strong> .<\/span><\/p>\n

P-de\u011feri Z-puan\u0131 hesaplay\u0131c\u0131s\u0131n\u0131 kullanarak, bu z-puan\u0131 i\u00e7in p-de\u011ferinin 0,00004<\/strong> oldu\u011funu ve bunun 0,05 alfa seviyesinde istatistiksel olarak anlaml\u0131 oldu\u011funu g\u00f6r\u00fcyoruz. Dolay\u0131s\u0131yla iki antren\u00f6r\u00fcn oyunculara verdi\u011fi s\u0131ralamalar aras\u0131nda istatistiksel olarak anlaml\u0131 bir korelasyon bulunmaktad\u0131r.<\/span><\/p>\n

Bonus: R’de Kendall’s Tau nas\u0131l hesaplan\u0131r?<\/strong><\/span><\/h2>\n

R istatistik yaz\u0131l\u0131m\u0131nda, a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanan iki vekt\u00f6r i\u00e7in Kendall Tau’sunu hesaplamak amac\u0131yla VGAM kitapl\u0131\u011f\u0131ndaki kendall.tau()<\/strong> i\u015flevini kullanabilirsiniz:<\/span><\/p>\n

kendall.tau(x, y)<\/strong><\/span><\/p>\n

burada x<\/em> ve y<\/em> e\u015fit uzunlukta iki dijital vekt\u00f6rd\u00fcr.<\/span><\/p>\n

A\u015fa\u011f\u0131daki kod, \u00f6nceki \u00f6rnekte kulland\u0131\u011f\u0131m\u0131z veriler i\u00e7in Kendall Tau’nun nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6stermektedir:<\/span><\/p>\n

 #load VGAM\n<\/em><\/span>library(VGAM)\n\n#create vector for each coach's rankings<\/span>\ncoach_1 <- c(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)\ncoach_2 <- c(1, 2, 3, 5, 4, 7, 6, 8, 10, 9, 11, 12)\n\n#calculate Kendall's Tau\n<\/span>kendall.tau(coach_1, coach_2)\n\n#[1] 0.9090909<\/strong><\/pre>\n
 Kendall’\u0131n Tau de\u011ferinin manuel olarak hesaplad\u0131\u011f\u0131m\u0131z de\u011ferle nas\u0131l e\u015fle\u015fti\u011fine dikkat edin.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
\u0130statistikte korelasyon , iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin g\u00fcc\u00fcn\u00fc ve y\u00f6n\u00fcn\u00fc ifade eder. Korelasyon katsay\u0131s\u0131n\u0131n de\u011feri -1 ile 1 aras\u0131nda de\u011fi\u015febilir; -1, m\u00fckemmel bir negatif ili\u015fkiyi, 0, hi\u00e7bir ili\u015fkinin olmad\u0131\u011f\u0131n\u0131 ve 1, m\u00fckemmel bir pozitif ili\u015fkiyi belirtir. En s\u0131k kullan\u0131lan korelasyon katsay\u0131s\u0131, iki say\u0131sal de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkiyi \u00f6l\u00e7en Pearson korelasyon katsay\u0131s\u0131d\u0131r . Daha az kullan\u0131lan […]<\/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-593","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\nKendall's Tau: tan\u0131m + \u00f6rnek - Statorials<\/title>\n<meta name=\"description\" content=\"Kendall'\u0131n Tau s\u0131ra korelasyon katsay\u0131s\u0131n\u0131n, bir tan\u0131m ve nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klamas\u0131.\" \/>\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\/kendalin-tausu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kendall's Tau: tan\u0131m + \u00f6rnek - Statorials\" \/>\n<meta property=\"og:description\" content=\"Kendall'\u0131n Tau s\u0131ra korelasyon katsay\u0131s\u0131n\u0131n, bir tan\u0131m ve nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klamas\u0131.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/kendalin-tausu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T09:47:17+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kendall1.png\" \/>\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=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/kendalin-tausu\/\",\"url\":\"https:\/\/statorials.org\/tr\/kendalin-tausu\/\",\"name\":\"Kendall's Tau: tan\u0131m + \u00f6rnek - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T09:47:17+00:00\",\"dateModified\":\"2023-07-29T09:47:17+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Kendall'\u0131n Tau s\u0131ra korelasyon katsay\u0131s\u0131n\u0131n, bir tan\u0131m ve nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klamas\u0131.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/kendalin-tausu\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/kendalin-tausu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/kendalin-tausu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kendall's tau: tan\u0131m + \u00f6rnek\"}]},{\"@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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