{"id":1166,"date":"2023-07-27T10:36:37","date_gmt":"2023-07-27T10:36:37","guid":{"rendered":"https:\/\/statorials.org\/tr\/ikinci-dereceden-diskriminant-analizi\/"},"modified":"2023-07-27T10:36:37","modified_gmt":"2023-07-27T10:36:37","slug":"ikinci-dereceden-diskriminant-analizi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ikinci-dereceden-diskriminant-analizi\/","title":{"rendered":"I\u0307kinci dereceden diskriminant analizine giri\u015f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir dizi \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenimiz oldu\u011funda ve bir <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">yan\u0131t de\u011fi\u015fkenini<\/a> iki s\u0131n\u0131ftan birine s\u0131n\u0131fland\u0131rmak istedi\u011fimizde genellikle<a href=\"https:\/\/statorials.org\/tr\/lojistik-regresyon-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">lojistik regresyon<\/a> kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bununla birlikte, bir yan\u0131t de\u011fi\u015fkeninin ikiden fazla olas\u0131 s\u0131n\u0131f\u0131 varsa, genellikle LDA olarak adland\u0131r\u0131lan <a href=\"https:\/\/statorials.org\/tr\/dogrusal-diskriminant-analizi\/\" target=\"_blank\" rel=\"noopener noreferrer\">do\u011frusal diskriminant analizini<\/a> kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">LDA, <strong>(1)<\/strong> her s\u0131n\u0131ftaki g\u00f6zlemlerin normal olarak da\u011f\u0131ld\u0131\u011f\u0131n\u0131 ve <strong>(2)<\/strong> her s\u0131n\u0131ftaki g\u00f6zlemlerin ayn\u0131 kovaryans matrisini payla\u015ft\u0131\u011f\u0131n\u0131 varsayar. Bu varsay\u0131mlar\u0131 kullanarak LDA a\u015fa\u011f\u0131daki de\u011ferleri bulur:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03bc <sub>k<\/sub><\/strong> : <sup>K.<\/sup> s\u0131n\u0131f\u0131n t\u00fcm e\u011fitim g\u00f6zlemlerinin ortalamas\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03c3 <sup>2<\/sup><\/strong> : Her <em>k<\/em> s\u0131n\u0131f\u0131 i\u00e7in \u00f6rnek varyanslar\u0131n a\u011f\u0131rl\u0131kl\u0131 ortalamas\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03c0 <sub>k<\/sub><\/strong> : <sup>K.<\/sup> s\u0131n\u0131fa ait e\u011fitim g\u00f6zlemlerinin oran\u0131.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">LDA daha sonra bu say\u0131lar\u0131 a\u015fa\u011f\u0131daki form\u00fcle yerle\u015ftirir ve her X = x g\u00f6zlemini form\u00fcl\u00fcn en b\u00fcy\u00fck de\u011feri \u00fcretti\u011fi s\u0131n\u0131fa atar:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>d <sub>k<\/sub> (x) = x * (\u03bc <sub>k<\/sub> \/\u03c3 <sup>2<\/sup> ) \u2013 (\u03bc <sub>k<\/sub> <sup>2<\/sup> \/2\u03c3 <sup>2<\/sup> ) + log(\u03c0 <sub>k<\/sub> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">LDA&#8217;n\u0131n ad\u0131 <em>do\u011frusald\u0131r<\/em> \u00e7\u00fcnk\u00fc yukar\u0131daki fonksiyon taraf\u0131ndan \u00fcretilen de\u011fer, x&#8217;in <em>do\u011frusal fonksiyonlar\u0131n\u0131n<\/em> sonucundan gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Do\u011frusal diskriminant analizinin bir uzant\u0131s\u0131, genellikle QDA olarak adland\u0131r\u0131lan <strong>ikinci dereceden diskriminant analizidir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntem LDA&#8217;ya benzer ve ayr\u0131ca her s\u0131n\u0131f\u0131n g\u00f6zlemlerinin normal da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayar, ancak her s\u0131n\u0131f\u0131n ayn\u0131 kovaryans matrisini payla\u015ft\u0131\u011f\u0131n\u0131 varsaymaz. Bunun yerine QDA, her s\u0131n\u0131f\u0131n kendi kovaryans matrisine sahip oldu\u011funu varsayar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ba\u015fka bir deyi\u015fle, <sup>k&#8217;inci<\/sup> s\u0131n\u0131fa ait bir g\u00f6zlemin X ~ N( <sub>\u03bck<\/sub> , <sub>\u03a3k<\/sub> ) formunda oldu\u011funu varsayar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131m\u0131 kullanarak QDA a\u015fa\u011f\u0131daki de\u011ferleri bulur:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03bc <sub>k<\/sub><\/strong> : <sup>K&#8217;inci<\/sup> s\u0131n\u0131f\u0131n t\u00fcm e\u011fitim g\u00f6zlemlerinin ortalamas\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03a3 <sub>k<\/sub> :<\/strong> <sup>k&#8217;inci<\/sup> s\u0131n\u0131f\u0131n kovaryans matrisi.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03c0 <sub>k<\/sub><\/strong> : <sup>K.<\/sup> s\u0131n\u0131fa ait e\u011fitim g\u00f6zlemlerinin oran\u0131.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">QDA daha sonra bu say\u0131lar\u0131 a\u015fa\u011f\u0131daki form\u00fcle yerle\u015ftirir ve her X = x g\u00f6zlemini, form\u00fcl\u00fcn en b\u00fcy\u00fck de\u011feri \u00fcretti\u011fi s\u0131n\u0131fa atar:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>D <sub>k<\/sub> (x) = -1\/2*(x-\u03bc <sub>k<\/sub> ) <sup>T<\/sup> \u03a3 <sub>k<\/sub> <sup>-1<\/sup> (x-\u03bc <sub>k<\/sub> ) \u2013 1\/2*log|\u03a3 <sub>k<\/sub> | + log( <sub>\u03c0k<\/sub> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Yukar\u0131daki fonksiyon taraf\u0131ndan \u00fcretilen de\u011fer, x&#8217;in <em>ikinci dereceden fonksiyonlar\u0131n\u0131n<\/em> sonucundan geldi\u011finden, QDA&#8217;n\u0131n ad\u0131nda <em>ikinci dereceden ifade<\/em> oldu\u011funa dikkat edin.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>LDA ve QDA: Birini veya Di\u011ferini Ne Zaman Kullanmal\u0131?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">LDA ve QDA aras\u0131ndaki temel fark, LDA&#8217;n\u0131n her s\u0131n\u0131f\u0131n bir kovaryans matrisini payla\u015ft\u0131\u011f\u0131n\u0131 varsaymas\u0131d\u0131r, bu da onu QDA&#8217;ya g\u00f6re \u00e7ok daha az esnek bir s\u0131n\u0131fland\u0131r\u0131c\u0131 yapar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, do\u011fal olarak d\u00fc\u015f\u00fck varyansa sahip oldu\u011fu anlam\u0131na gelir, yani farkl\u0131 e\u011fitim veri k\u00fcmelerinde ayn\u0131 performans\u0131 sergileyecektir.<\/span> <span style=\"color: #000000;\">Dezavantaj\u0131 ise, e\u011fer <em>K<\/em> s\u0131n\u0131flar\u0131n\u0131n ayn\u0131 kovaryansa sahip oldu\u011fu varsay\u0131m\u0131 yanl\u0131\u015fsa, o zaman LDA&#8217;n\u0131n <a href=\"https:\/\/statorials.org\/tr\/onyargi-varyansi-uzlasmasi\/\" target=\"_blank\" rel=\"noopener noreferrer\">y\u00fcksek \u00f6nyarg\u0131dan<\/a> muzdarip olabilmesidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">QDA genellikle a\u015fa\u011f\u0131daki durumlarda LDA&#8217;ya tercih edilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(1)<\/strong> E\u011fitim seti b\u00fcy\u00fckt\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(2)<\/strong> <em>K<\/em> s\u0131n\u0131flar\u0131n\u0131n ortak bir kovaryans matrisini payla\u015fmas\u0131 pek olas\u0131 de\u011fildir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu ko\u015fullar kar\u015f\u0131land\u0131\u011f\u0131nda QDA daha esnek oldu\u011fundan ve verilere daha iyi uyum sa\u011flayabildi\u011finden daha iyi performans g\u00f6sterme e\u011filimindedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>QDA i\u00e7in veriler nas\u0131l haz\u0131rlan\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Verilerinize bir QDA modeli uygulamadan \u00f6nce verilerinizin a\u015fa\u011f\u0131daki gereksinimleri kar\u015f\u0131lad\u0131\u011f\u0131ndan emin olun:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Yan\u0131t de\u011fi\u015fkeni kategoriktir<\/strong> . QDA modelleri <a href=\"https:\/\/statorials.org\/tr\/regresyon-ve-siniflandirma\/\" target=\"_blank\" rel=\"noopener noreferrer\">s\u0131n\u0131fland\u0131rma problemlerinde<\/a> , yani yan\u0131t de\u011fi\u015fkeninin s\u0131n\u0131flara veya kategorilere yerle\u015ftirilebildi\u011fi durumlarda kullan\u0131lmak \u00fczere tasarlanm\u0131\u015ft\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Her s\u0131n\u0131ftaki g\u00f6zlemler normal bir da\u011f\u0131l\u0131m izlemektedir<\/strong> . \u00d6ncelikle her s\u0131n\u0131ftaki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131n yakla\u015f\u0131k olarak normal da\u011f\u0131l\u0131p da\u011f\u0131lmad\u0131\u011f\u0131n\u0131 kontrol edin. De\u011filse, da\u011f\u0131l\u0131m\u0131 daha normal hale getirmek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/verileri-rye-donustur\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u00f6nce verileri d\u00f6n\u00fc\u015ft\u00fcrmeyi<\/a> se\u00e7ebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. A\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferleri hesaba kat\u0131n.<\/strong> LDA&#8217;y\u0131 uygulamadan \u00f6nce veri k\u00fcmesindeki a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferleri kontrol etti\u011finizden emin olun. Tipik olarak, yaln\u0131zca <a href=\"https:\/\/statorials.org\/tr\/kutu-biyiklari\/\" target=\"_blank\" rel=\"noopener noreferrer\">kutu grafiklerini<\/a> veya da\u011f\u0131l\u0131m grafiklerini kullanarak ayk\u0131r\u0131 de\u011ferleri g\u00f6rsel olarak kontrol edebilirsiniz.<\/span><\/p>\n<h3> <strong>R ve Python&#8217;da QDA<\/strong><\/h3>\n<p> A\u015fa\u011f\u0131daki e\u011fitimlerde R ve Python&#8217;da ikinci dereceden diskriminant analizinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin ad\u0131m ad\u0131m \u00f6rnekler verilmektedir:<\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rde-ikinci-dereceden-diskriminant-analizi\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de \u0130kinci Dereceden Diskriminant Analizi (ad\u0131m ad\u0131m)<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pythonda-ikinci-dereceden-diskriminant-analizi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Python&#8217;da \u0130kinci Dereceden Diskriminant Analizi (Ad\u0131m Ad\u0131m)<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir dizi \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenimiz oldu\u011funda ve bir yan\u0131t de\u011fi\u015fkenini iki s\u0131n\u0131ftan birine s\u0131n\u0131fland\u0131rmak istedi\u011fimizde genelliklelojistik regresyon kullan\u0131r\u0131z. Bununla birlikte, bir yan\u0131t de\u011fi\u015fkeninin ikiden fazla olas\u0131 s\u0131n\u0131f\u0131 varsa, genellikle LDA olarak adland\u0131r\u0131lan do\u011frusal diskriminant analizini kullan\u0131r\u0131z. LDA, (1) her s\u0131n\u0131ftaki g\u00f6zlemlerin normal olarak da\u011f\u0131ld\u0131\u011f\u0131n\u0131 ve (2) her s\u0131n\u0131ftaki g\u00f6zlemlerin ayn\u0131 kovaryans matrisini payla\u015ft\u0131\u011f\u0131n\u0131 varsayar. Bu varsay\u0131mlar\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-1166","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>\u0130kinci Dereceden Diskriminant Analizine Giri\u015f - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitim, makine \u00f6\u011freniminde yayg\u0131n olarak kullan\u0131lan bir y\u00f6ntem olan ikinci dereceden diskriminant analizine giri\u015f sa\u011flar.\" \/>\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\/ikinci-dereceden-diskriminant-analizi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0130kinci Dereceden Diskriminant Analizine Giri\u015f - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitim, makine \u00f6\u011freniminde yayg\u0131n olarak kullan\u0131lan bir y\u00f6ntem olan ikinci dereceden diskriminant analizine giri\u015f sa\u011flar.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/ikinci-dereceden-diskriminant-analizi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T10:36:37+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=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/ikinci-dereceden-diskriminant-analizi\/\",\"url\":\"https:\/\/statorials.org\/tr\/ikinci-dereceden-diskriminant-analizi\/\",\"name\":\"\u0130kinci Dereceden Diskriminant Analizine Giri\u015f - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T10:36:37+00:00\",\"dateModified\":\"2023-07-27T10:36:37+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitim, makine \u00f6\u011freniminde yayg\u0131n olarak kullan\u0131lan bir y\u00f6ntem olan ikinci dereceden diskriminant analizine giri\u015f sa\u011flar.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/ikinci-dereceden-diskriminant-analizi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/ikinci-dereceden-diskriminant-analizi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/ikinci-dereceden-diskriminant-analizi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"I\u0307kinci dereceden diskriminant analizine giri\u015f\"}]},{\"@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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