{"id":446,"date":"2023-07-29T22:04:47","date_gmt":"2023-07-29T22:04:47","guid":{"rendered":"https:\/\/statorials.org\/tr\/kovaryans-matrisi-excel\/"},"modified":"2023-07-29T22:04:47","modified_gmt":"2023-07-29T22:04:47","slug":"kovaryans-matrisi-excel","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kovaryans-matrisi-excel\/","title":{"rendered":"Excel'de kovaryans matrisi nas\u0131l olu\u015fturulur"},"content":{"rendered":"

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>

\u0130ki de\u011fi\u015fken ( X<\/em> ve Y)<\/em> aras\u0131ndaki kovaryans\u0131 hesaplamak i\u00e7in kullan\u0131lan form\u00fcl: <\/p>

COV(<\/strong> X<\/strong><\/em> ,<\/strong> Y<\/strong><\/em> )<\/strong> = \u03a3(x- x<\/span> )(y- y<\/span> ) \/ n <\/p>

Kovaryans matrisi,<\/strong> bir\u00e7ok farkl\u0131 de\u011fi\u015fken aras\u0131ndaki kovaryans\u0131 g\u00f6steren bir kare matristir. Bu, bir veri k\u00fcmesindeki farkl\u0131 de\u011fi\u015fkenlerin nas\u0131l ili\u015fkili oldu\u011funu anlaman\u0131n basit ve kullan\u0131\u015fl\u0131 bir yolu olabilir. <\/p>

A\u015fa\u011f\u0131daki \u00f6rnek, basit bir veri k\u00fcmesi kullanarak Excel’de bir kovaryans matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6sterir.<\/p>

Excel’de Kovaryans Matrisi Nas\u0131l Olu\u015fturulur<\/strong> <\/h3>

Diyelim ki 10 farkl\u0131 \u00f6\u011frencinin \u00fc\u00e7 dersteki (matematik, fen bilimleri ve tarih) test puanlar\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki veri setine sahibiz. <\/p>

<\/figcaption><\/figure><\/div>

Bu veri k\u00fcmesi i\u00e7in bir kovaryans matrisi olu\u015fturmak i\u00e7in Excel’in sa\u011f \u00fcst k\u00f6\u015fesinde Veri<\/em> sekmesi alt\u0131nda Veri Analizi<\/strong> se\u00e7ene\u011fine t\u0131klay\u0131n.<\/p>

\"Excel'deki<\/figure><\/div>

Not:<\/strong> Veri Analizi se\u00e7ene\u011fini g\u00f6rm\u00fcyorsan\u0131z, \u00f6ncelikle<\/span> Veri Analizi Ara\u00e7 Paketi’ni y\u00fcklemelisiniz<\/a> .<\/span><\/em> <\/p>

Bu se\u00e7ene\u011fe t\u0131klad\u0131\u011f\u0131n\u0131zda yeni bir pencere a\u00e7\u0131lacakt\u0131r. Kovaryans’a<\/strong> t\u0131klay\u0131n. <\/p>

<\/figure><\/div>

Giri\u015f Aral\u0131\u011f\u0131<\/em> kutusuna “$A$1:$C$11” yaz\u0131n \u00e7\u00fcnk\u00fc bu, veri k\u00fcmemizin bulundu\u011fu h\u00fccre aral\u0131\u011f\u0131d\u0131r. De\u011fi\u015fkenlerimize ili\u015fkin etiketlerin ilk sat\u0131rda<\/em> oldu\u011funu Excel’e bildirmek i\u00e7in \u0130lk sat\u0131rdaki Etiketler kutusunu i\u015faretleyin. Daha sonra \u00c7\u0131k\u0131\u015f Aral\u0131\u011f\u0131<\/em> kutusuna kovaryans matrisinin g\u00f6r\u00fcnmesini istedi\u011finiz herhangi bir h\u00fccreyi yaz\u0131n. Ben $E$2 h\u00fccresini d\u00fc\u015f\u00fcn\u00fcyorum. Daha sonra Tamam’\u0131<\/em> t\u0131klay\u0131n. <\/p>

<\/figure><\/div>

Kovaryans matrisi otomatik olarak olu\u015fturulur ve $E$2 h\u00fccresinde g\u00f6r\u00fcn\u00fcr: <\/p>

<\/figure><\/div>

Kovaryans matrisi nas\u0131l yorumlan\u0131r?<\/strong> <\/h3>

Bir kovaryans matrisimiz oldu\u011funda matrisin de\u011ferlerini yorumlamak olduk\u00e7a basittir. <\/p>

Matrisin k\u00f6\u015fegenleri boyunca yer alan de\u011ferler, her bir konunun basit\u00e7e varyanslar\u0131d\u0131r. \u00d6rne\u011fin: <\/p>

  • Matematik puanlar\u0131n\u0131n varyans\u0131 64,96<\/li>
  • Fen puanlar\u0131n\u0131n varyans\u0131 56,4<\/li>
  • Ge\u00e7mi\u015f puan fark\u0131 75,56 <\/li><\/ul>
    <\/figure><\/div>

    Matrisin di\u011fer de\u011ferleri farkl\u0131 konular aras\u0131ndaki kovaryanslar\u0131 temsil eder. \u00d6rne\u011fin: <\/p>

    • Matematik ve fen bilimleri puanlar\u0131 aras\u0131ndaki kovaryans 33,2’dir.<\/li>
    • Matematik ve tarih puanlar\u0131 aras\u0131ndaki kovaryans -24,44’t\u00fcr.<\/li>
    • Fen ve tarih puanlar\u0131 aras\u0131ndaki kovaryans -24,1’dir. <\/li><\/ul>
      <\/figure><\/div>

      Kovaryans i\u00e7in pozitif bir say\u0131,<\/strong> iki de\u011fi\u015fkenin art arda artma veya azalma e\u011filiminde oldu\u011funu g\u00f6sterir. \u00d6rne\u011fin matematik ve fen bilimleri aras\u0131nda pozitif bir kovaryans (33,2) vard\u0131r; bu da matematikte y\u00fcksek puan alan \u00f6\u011frencilerin fen bilimlerinde de y\u00fcksek puan alma e\u011filiminde oldu\u011funu g\u00f6sterir. Benzer \u015fekilde matematikte zay\u0131f performans g\u00f6steren \u00f6\u011frenciler fen alan\u0131nda da d\u00fc\u015f\u00fck performans g\u00f6sterme e\u011filimindedir. <\/p>

      Kovaryans i\u00e7in negatif bir say\u0131,<\/strong> bir de\u011fi\u015fken artarken ikinci bir de\u011fi\u015fkenin azalma e\u011filiminde oldu\u011funu g\u00f6sterir. \u00d6rne\u011fin, matematik ve tarihin negatif bir kovaryans\u0131 (-24,44) vard\u0131r, bu da matematikte y\u00fcksek puan alan \u00f6\u011frencilerin tarihte d\u00fc\u015f\u00fck puan alma e\u011filiminde oldu\u011funu g\u00f6sterir. Benzer \u015fekilde matematikte d\u00fc\u015f\u00fck puan alan \u00f6\u011frenciler tarihte de y\u00fcksek puan alma e\u011filimindedir.<\/p>","protected":false},"excerpt":{"rendered":"

      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. \u0130ki de\u011fi\u015fken ( X ve Y) aras\u0131ndaki kovaryans\u0131 hesaplamak i\u00e7in kullan\u0131lan form\u00fcl: COV( X , Y ) = \u03a3(x- x )(y- y ) \/ n Kovaryans matrisi, bir\u00e7ok farkl\u0131 de\u011fi\u015fken […]<\/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-446","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\nExcel'de Kovaryans Matrisi Nas\u0131l Olu\u015fturulur - Statorials<\/title>\n<meta name=\"description\" content=\"Excel'de kovaryans matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\" \/>\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-excel\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Excel'de Kovaryans Matrisi Nas\u0131l Olu\u015fturulur - Statorials\" \/>\n<meta property=\"og:description\" content=\"Excel'de kovaryans matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-excel\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T22:04:47+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pack-doutils3.jpg\" \/>\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-excel\/\",\"url\":\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-excel\/\",\"name\":\"Excel'de Kovaryans Matrisi Nas\u0131l Olu\u015fturulur - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T22:04:47+00:00\",\"dateModified\":\"2023-07-29T22:04:47+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Excel'de kovaryans matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131na dair basit bir a\u00e7\u0131klama.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-excel\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-excel\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/kovaryans-matrisi-excel\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Excel'de kovaryans matrisi nas\u0131l olu\u015fturulur\"}]},{\"@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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