{"id":1428,"date":"2023-07-26T10:36:48","date_gmt":"2023-07-26T10:36:48","guid":{"rendered":"https:\/\/statorials.org\/tr\/cok-modlu-dagitim\/"},"modified":"2023-07-26T10:36:48","modified_gmt":"2023-07-26T10:36:48","slug":"cok-modlu-dagitim","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/cok-modlu-dagitim\/","title":{"rendered":"\u00c7ok modlu da\u011f\u0131t\u0131m nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Multimodal da\u011f\u0131l\u0131m,<\/strong> iki veya daha fazla modu olan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7ok modlu bir da\u011f\u0131l\u0131m\u0131 g\u00f6rselle\u015ftirmek i\u00e7in bir histogram olu\u015fturursan\u0131z, bunun birka\u00e7 tepe noktas\u0131na sahip oldu\u011funu fark edeceksiniz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14131 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multimodal1.png\" alt=\"\u00c7ok modlu da\u011f\u0131t\u0131m\" width=\"478\" height=\"331\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131l\u0131m tam olarak iki zirveye sahipse, bu, \u00e7ok modlu da\u011f\u0131l\u0131m\u0131n \u00f6zel bir t\u00fcr\u00fc olan iki <a href=\"https:\/\/statorials.org\/tr\/cift-modlu-dagilim\/\" target=\"_blank\" rel=\"noopener\">modlu bir da\u011f\u0131l\u0131m<\/a> olarak kabul edilir.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14132 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multimodal2.png\" alt=\"\" width=\"468\" height=\"312\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu, yaln\u0131zca bir tepe noktas\u0131 olan tek modlu bir da\u011f\u0131l\u0131mla \u00e7eli\u015fir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14133 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multimodal3.png\" alt=\"\" width=\"446\" height=\"298\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Normal da\u011f\u0131l\u0131m gibi tek modlu da\u011f\u0131l\u0131mlar \u00e7o\u011funlukla istatistik konular\u0131n\u0131 a\u00e7\u0131klamak i\u00e7in kullan\u0131lsa da, \u00e7ok modlu da\u011f\u0131l\u0131mlar asl\u0131nda pratikte olduk\u00e7a s\u0131k g\u00f6r\u00fcl\u00fcr, bu nedenle bunlar\u0131n nas\u0131l tan\u0131naca\u011f\u0131n\u0131 ve analiz edilece\u011fini bilmek faydal\u0131d\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00c7ok modlu da\u011f\u0131l\u0131m \u00f6rnekleri<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7ok modlu da\u011f\u0131l\u0131mlara baz\u0131 \u00f6rnekler a\u015fa\u011f\u0131da verilmi\u015ftir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: S\u0131nav sonu\u00e7lar\u0131n\u0131n da\u011f\u0131t\u0131m\u0131<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir profes\u00f6r\u00fcn s\u0131n\u0131f\u0131na s\u0131nav yapt\u0131\u011f\u0131n\u0131 varsayal\u0131m. Baz\u0131 \u00f6\u011frenciler okudu, baz\u0131lar\u0131 okumad\u0131. Profes\u00f6r s\u0131nav puanlar\u0131na ili\u015fkin bir histogram olu\u015fturdu\u011funda, bu, \u00e7al\u0131\u015fmayan \u00f6\u011frenciler i\u00e7in d\u00fc\u015f\u00fck puanlar civar\u0131nda bir tepe noktas\u0131 ve e\u011fitim g\u00f6ren \u00f6\u011frenciler i\u00e7in y\u00fcksek puanlar \u00e7evresinde ba\u015fka bir tepe noktas\u0131 olan \u00e7ok modlu bir da\u011f\u0131l\u0131m izler:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9129 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bimodal5.png\" alt=\"\u00c7ok modlu da\u011f\u0131t\u0131m \u00f6rne\u011fi\" width=\"503\" height=\"302\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Farkl\u0131 bitki t\u00fcrlerinin y\u00fcksekli\u011fi<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir bilim adam\u0131n\u0131n bir tarlada dola\u015ft\u0131\u011f\u0131n\u0131 ve farkl\u0131 bitkilerin y\u00fcksekli\u011fini \u00f6l\u00e7t\u00fc\u011f\u00fcn\u00fc varsayal\u0131m. Fark\u0131nda olmadan \u00fc\u00e7 farkl\u0131 t\u00fcr\u00fcn boyutunu \u00f6l\u00e7\u00fcyor: biri olduk\u00e7a b\u00fcy\u00fck, di\u011feri orta b\u00fcy\u00fckl\u00fckte ve di\u011feri olduk\u00e7a k\u00fc\u00e7\u00fck.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Y\u00fckseklik da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6rselle\u015ftirmek i\u00e7in bir histogram olu\u015fturdu\u011funda bunun \u00e7ok modlu oldu\u011funu buluyor: her bir tepe noktas\u0131, \u00fc\u00e7 farkl\u0131 t\u00fcr\u00fcn en yayg\u0131n y\u00fcksekli\u011fini temsil ediyor.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14134 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multimodal4.png\" alt=\"\u00c7ok modlu da\u011f\u0131t\u0131m \u00f6rne\u011fi\" width=\"474\" height=\"327\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: M\u00fc\u015fterilerin da\u011f\u0131l\u0131m\u0131<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir restoran sahibi, saat ba\u015f\u0131 restorana gelen m\u00fc\u015fteri say\u0131s\u0131n\u0131 takip ediyor. M\u00fc\u015fterilerin da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6rselle\u015ftirmek i\u00e7in bir histogram olu\u015fturdu\u011funda da\u011f\u0131t\u0131m\u0131n \u00e7ok modlu oldu\u011funu g\u00f6r\u00fcyor: \u00f6\u011fle yeme\u011fi saatlerinde bir zirve, ak\u015fam yeme\u011fi saatlerinde ise ba\u015fka bir zirve var.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9125 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bimodal3.png\" alt=\"\" width=\"492\" height=\"303\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <strong>Multimodal da\u011f\u0131l\u0131mlar\u0131n nedenleri nelerdir?<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Multimodal da\u011f\u0131l\u0131mlar\u0131n alt\u0131nda genellikle iki nedenden biri vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Birka\u00e7 grup bir arada grupland\u0131r\u0131lm\u0131\u015ft\u0131r.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Fark\u0131nda olmadan birden fazla grup i\u00e7in veri toplad\u0131\u011f\u0131n\u0131zda \u00e7ok modlu da\u011f\u0131l\u0131mlar ortaya \u00e7\u0131kabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir bilim adam\u0131 bilmeden ayn\u0131 alanda bulunan \u00fc\u00e7 farkl\u0131 bitki t\u00fcr\u00fcn\u00fcn y\u00fcksekli\u011fini \u00f6l\u00e7erse, ayn\u0131 histograma yerle\u015ftirildi\u011finde t\u00fcm bitkilerin da\u011f\u0131l\u0131m\u0131 \u00e7ok modlu g\u00f6r\u00fcnecektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Altta yatan bir olgu var.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Multimodal da\u011f\u0131l\u0131mlar, altta yatan belirli olaylar nedeniyle de ortaya \u00e7\u0131kabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, insanlar restoranlarda iki farkl\u0131 saatte yemek yemeyi tercih etti\u011finden, her saat ba\u015f\u0131 bir restoran\u0131 ziyaret eden m\u00fc\u015fterilerin say\u0131s\u0131 \u00e7ok modlu bir da\u011f\u0131l\u0131m izlemektedir: \u00f6\u011fle ve ak\u015fam yeme\u011fi. Bu temel insan davran\u0131\u015f\u0131 \u00e7ok modlu da\u011f\u0131t\u0131m\u0131n k\u00f6kenidir.<\/span><\/p>\n<h3> <strong>\u00c7ok modlu da\u011f\u0131l\u0131mlar nas\u0131l analiz edilir<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Da\u011f\u0131l\u0131mlar\u0131 genellikle <a href=\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\" target=\"_blank\" rel=\"noopener\">ortalamay\u0131 veya medyan\u0131<\/a> kullanarak tan\u0131mlar\u0131z \u00e7\u00fcnk\u00fc bu bize da\u011f\u0131l\u0131m\u0131n &#8220;merkezinin&#8221; nerede oldu\u011funa dair bir fikir verir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ne yaz\u0131k ki, iki modlu bir da\u011f\u0131l\u0131m i\u00e7in ortalama ve medyan\u0131n bilinmesi yararl\u0131 de\u011fildir. \u00d6rne\u011fin yukar\u0131daki \u00f6rnekte \u00f6\u011frencilerin ortalama s\u0131nav puan\u0131 81&#8217;dir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9133 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bimodal6.png\" alt=\"\" width=\"531\" height=\"316\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ancak \u00e7ok az say\u0131da \u00f6\u011frenci 81&#8217;e yak\u0131n puan ald\u0131. Bu durumda ortalama yan\u0131lt\u0131c\u0131d\u0131r. \u00c7o\u011fu \u00f6\u011frenci asl\u0131nda 74 veya 88 civar\u0131nda puan ald\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki modlu da\u011f\u0131l\u0131mlar\u0131 analiz etmenin ve yorumlaman\u0131n daha iyi bir yolu, verileri basit\u00e7e iki ayr\u0131 gruba b\u00f6lmek ve ard\u0131ndan her grup i\u00e7in merkezi konumu ve da\u011f\u0131l\u0131m\u0131 ayr\u0131 ayr\u0131 analiz etmektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin s\u0131nav sonu\u00e7lar\u0131n\u0131 &#8220;d\u00fc\u015f\u00fck puanlar&#8221; ve &#8220;y\u00fcksek puanlar&#8221; olarak ay\u0131r\u0131p her grup i\u00e7in ortalamay\u0131 ve standart sapmay\u0131 bulabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama, medyan veya standart sapma gibi belirli bir da\u011f\u0131l\u0131m i\u00e7in \u00f6zet istatistikleri hesaplarken, tek modlu mu yoksa \u00e7ok modlu mu oldu\u011funu belirlemek i\u00e7in da\u011f\u0131l\u0131m\u0131 g\u00f6rselle\u015ftirdi\u011finizden emin olun.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir da\u011f\u0131l\u0131m multimodal ise, onu tek bir ortalama, medyan veya standart sapma kullanarak tan\u0131mlamak yan\u0131lt\u0131c\u0131 olabilir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Multimodal da\u011f\u0131l\u0131m, iki veya daha fazla modu olan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r. \u00c7ok modlu bir da\u011f\u0131l\u0131m\u0131 g\u00f6rselle\u015ftirmek i\u00e7in bir histogram olu\u015fturursan\u0131z, bunun birka\u00e7 tepe noktas\u0131na sahip oldu\u011funu fark edeceksiniz: Bir da\u011f\u0131l\u0131m tam olarak iki zirveye sahipse, bu, \u00e7ok modlu da\u011f\u0131l\u0131m\u0131n \u00f6zel bir t\u00fcr\u00fc olan iki modlu bir da\u011f\u0131l\u0131m olarak kabul edilir. Bu, yaln\u0131zca bir tepe noktas\u0131 [&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-1428","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>\u00c7ok modlu da\u011f\u0131t\u0131m nedir? - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde istatistikteki \u00e7ok modlu da\u011f\u0131l\u0131mlar\u0131n birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmas\u0131 sa\u011flanmaktad\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\/cok-modlu-dagitim\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u00c7ok modlu da\u011f\u0131t\u0131m nedir? - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde istatistikteki \u00e7ok modlu da\u011f\u0131l\u0131mlar\u0131n birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmas\u0131 sa\u011flanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/cok-modlu-dagitim\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T10:36:48+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multimodal1.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\/cok-modlu-dagitim\/\",\"url\":\"https:\/\/statorials.org\/tr\/cok-modlu-dagitim\/\",\"name\":\"\u00c7ok modlu da\u011f\u0131t\u0131m nedir? - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-26T10:36:48+00:00\",\"dateModified\":\"2023-07-26T10:36:48+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde istatistikteki \u00e7ok modlu da\u011f\u0131l\u0131mlar\u0131n birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmas\u0131 sa\u011flanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/cok-modlu-dagitim\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/cok-modlu-dagitim\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/cok-modlu-dagitim\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u00c7ok modlu da\u011f\u0131t\u0131m nedir?\"}]},{\"@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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