{"id":4542,"date":"2023-07-10T06:43:37","date_gmt":"2023-07-10T06:43:37","guid":{"rendered":"https:\/\/statorials.org\/tr\/kovaryans-matrisi-nasil-okunur\/"},"modified":"2023-07-10T06:43:37","modified_gmt":"2023-07-10T06:43:37","slug":"kovaryans-matrisi-nasil-okunur","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kovaryans-matrisi-nasil-okunur\/","title":{"rendered":"Kovaryans matrisi nas\u0131l okunur"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Kovaryans<\/strong> , bir de\u011fi\u015fkendeki de\u011fi\u015fikliklerin ikinci bir de\u011fi\u015fkendeki de\u011fi\u015fikliklerle nas\u0131l ili\u015fkilendirildi\u011finin bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Daha spesifik olarak, iki de\u011fi\u015fkenin do\u011frusal olarak ili\u015fkili olma derecesinin bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Kovaryans matrisi,<\/strong> bir\u00e7ok farkl\u0131 de\u011fi\u015fken aras\u0131ndaki kovaryans\u0131 g\u00f6steren bir kare matristir. Bu, bir veri k\u00fcmesinde farkl\u0131 de\u011fi\u015fkenlerin nas\u0131l ili\u015fkili oldu\u011funu anlaman\u0131n yararl\u0131 bir yolu olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, pratikte bir kovaryans matrisinin nas\u0131l okunaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Kovaryans matrisi nas\u0131l okunur<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u00d6\u011frencilerin \u00fc\u00e7 farkl\u0131 konuya ili\u015fkin s\u0131nav puanlar\u0131 hakk\u0131nda bilgi i\u00e7eren a\u015fa\u011f\u0131daki kovaryans matrisine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35473 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lirec1.png\" alt=\"\" width=\"248\" height=\"188\" srcset=\"\" sizes=\"auto, \"><br \/> <span style=\"color: #000000;\"><strong>Matrisin k\u00f6\u015fegenleri boyunca yer alan de\u011ferler, her bir konunun varyanslar\u0131n\u0131 temsil eder.<\/strong><\/span> <br \/><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35475 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lecturec2-1.png\" alt=\"\" width=\"250\" height=\"200\" srcset=\"\" sizes=\"auto, \"><br \/> <span style=\"color: #000000;\">\u00d6rne\u011fin:<\/span><\/p>\n<ul class=\"has-text-color\">\n<li> <span style=\"color: #000000;\">Matematik sonu\u00e7lar\u0131n\u0131n varyans\u0131 <strong>64,9&#8217;dur<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Fen bilimleri puanlar\u0131n\u0131n varyans\u0131 <strong>56,4&#8217;t\u00fcr<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Tarihsel puanlar\u0131n varyans\u0131 <strong>75,6&#8217;d\u0131r<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Matrisin di\u011fer de\u011ferleri farkl\u0131 konular aras\u0131ndaki kovaryanslar\u0131 temsil eder.<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35477 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lirec3.png\" alt=\"\" width=\"245\" height=\"200\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin:<\/span><\/p>\n<ul class=\"has-text-color\">\n<li> <span style=\"color: #000000;\">Matematik ve fen bilimleri puanlar\u0131 aras\u0131ndaki kovaryans <strong>33,2&#8217;dir<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Matematik ve tarih puanlar\u0131 aras\u0131ndaki kovaryans <strong>-24,4&#8217;t\u00fcr<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Fen ve tarih puanlar\u0131 aras\u0131ndaki kovaryans <strong>-24,1&#8217;dir<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kovaryans i\u00e7in <strong>pozitif bir say\u0131,<\/strong> iki de\u011fi\u015fkenin art arda artma veya azalma e\u011filiminde oldu\u011funu g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin matematik ve fen bilimleri pozitif bir kovaryansa sahiptir ( <strong>33,2<\/strong> ), bu da matematikte y\u00fcksek puan alan \u00f6\u011frencilerin fen bilimlerinde de y\u00fcksek puan alma e\u011filiminde oldu\u011funu g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tersine, matematikte zay\u0131f performans g\u00f6steren \u00f6\u011frenciler fen alan\u0131nda da d\u00fc\u015f\u00fck performans g\u00f6sterme e\u011filimindedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kovaryans i\u00e7in <strong>negatif bir say\u0131,<\/strong> bir de\u011fi\u015fken artarken ikinci bir de\u011fi\u015fkenin azalma e\u011filiminde oldu\u011funu g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, matematik ve tarihin negatif bir kovaryans\u0131 ( <strong>-24,44<\/strong> ) vard\u0131r, bu da matematikte y\u00fcksek performans g\u00f6steren \u00f6\u011frencilerin tarihte d\u00fc\u015f\u00fck performans g\u00f6sterme e\u011filiminde oldu\u011funu g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tersine, matematikte d\u00fc\u015f\u00fck puan alan \u00f6\u011frenciler tarihte y\u00fcksek puan alma e\u011filimindedir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Bir kovaryans matrisinin simetrisi \u00fczerine bir not<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bir kovaryans matrisinin tamamen simetrik oldu\u011funa dikkat edilmelidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, sa\u011f \u00fcst h\u00fccre, sol alt h\u00fccreyle tam olarak ayn\u0131 de\u011feri g\u00f6sterir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35478 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lirec4.png\" alt=\"\" width=\"247\" height=\"193\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Asl\u0131nda iki h\u00fccre tarih ve matematik aras\u0131ndaki kovaryans\u0131 \u00f6l\u00e7er.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir kovaryans matrisi simetrik oldu\u011fundan matriste g\u00f6r\u00fcnt\u00fclenen kovaryans de\u011ferlerinin yar\u0131s\u0131 gereksiz ve gereksizdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani bazen kovaryans matrisinin yaln\u0131zca yar\u0131s\u0131 g\u00f6r\u00fcnt\u00fclenecektir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35479 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lirec5.png\" alt=\"\" width=\"264\" height=\"204\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Kovaryans matrisi ne zaman kullan\u0131l\u0131r?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Pratikte, bir<a href=\"https:\/\/statorials.org\/tr\/korelasyon-matrisi-nasil-okunur\/\" target=\"_blank\" rel=\"noopener\">korelasyon matrisini<\/a> kovaryans matrisinden daha s\u0131k olu\u015fturup yorumlaman\u0131z gerekecektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak kovaryans matrisleri genellikle farkl\u0131 makine \u00f6\u011frenimi algoritmalar\u0131 ve modelleri i\u00e7in &#8220;kaportan\u0131n alt\u0131nda&#8221; kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, kovaryans matrisi, <a href=\"https:\/\/statorials.org\/tr\/rde-temel-bilesen-analizi\/\" target=\"_blank\" rel=\"noopener\">temel bile\u015fenler analizi<\/a> s\u0131ras\u0131nda kullan\u0131l\u0131r ve bu, \u00e7ok say\u0131da de\u011fi\u015fken i\u00e7eren bir veri setindeki temel kal\u0131plar\u0131 anlamam\u0131za yard\u0131mc\u0131 olur.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde farkl\u0131 istatistiksel yaz\u0131l\u0131mlar kullan\u0131larak kovaryans matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de kovaryans matrisi nas\u0131l olu\u015fturulur<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/piton-kovaryans-matrisi\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Kovaryans Matrisi Nas\u0131l Olu\u015fturulur<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/spss-kovaryans-matrisi\/\" target=\"_blank\" rel=\"noopener\">SPSS&#8217;de Kovaryans Matrisi Nas\u0131l Olu\u015fturulur<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Kovaryans Matrisi Nas\u0131l Olu\u015fturulur<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kovaryans , bir de\u011fi\u015fkendeki de\u011fi\u015fikliklerin ikinci bir de\u011fi\u015fkendeki de\u011fi\u015fikliklerle nas\u0131l ili\u015fkilendirildi\u011finin bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Daha spesifik olarak, iki de\u011fi\u015fkenin do\u011frusal olarak ili\u015fkili olma derecesinin bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Kovaryans matrisi, bir\u00e7ok farkl\u0131 de\u011fi\u015fken aras\u0131ndaki kovaryans\u0131 g\u00f6steren bir kare matristir. Bu, bir veri k\u00fcmesinde farkl\u0131 de\u011fi\u015fkenlerin nas\u0131l ili\u015fkili oldu\u011funu anlaman\u0131n yararl\u0131 bir yolu olabilir. A\u015fa\u011f\u0131daki \u00f6rnek, pratikte bir kovaryans [&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-4542","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>Kovaryans matrisi nas\u0131l okunur - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde bir kovaryans matrisinin nas\u0131l okunaca\u011f\u0131 bir \u00f6rnekle 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\/kovaryans-matrisi-nasil-okunur\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kovaryans matrisi nas\u0131l okunur - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde bir kovaryans matrisinin nas\u0131l okunaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-nasil-okunur\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-10T06:43:37+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lirec1.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=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-nasil-okunur\/\",\"url\":\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-nasil-okunur\/\",\"name\":\"Kovaryans matrisi nas\u0131l okunur - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-10T06:43:37+00:00\",\"dateModified\":\"2023-07-10T06:43:37+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde bir kovaryans matrisinin nas\u0131l okunaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-nasil-okunur\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-nasil-okunur\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-nasil-okunur\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kovaryans matrisi nas\u0131l okunur\"}]},{\"@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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