{"id":87,"date":"2023-08-05T15:14:34","date_gmt":"2023-08-05T15:14:34","guid":{"rendered":"https:\/\/statorials.org\/tr\/diferansiyel-puanlar\/"},"modified":"2023-08-05T15:14:34","modified_gmt":"2023-08-05T15:14:34","slug":"diferansiyel-puanlar","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/diferansiyel-puanlar\/","title":{"rendered":"Diferansiyel puanlar"},"content":{"rendered":"<p>Bu yaz\u0131da diferansiyel puanlar\u0131n ne oldu\u011funu ve diferansiyel puanlar\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 \u00f6\u011freneceksiniz. Ek olarak, diferansiyel puanlar\u0131n hesaplanmas\u0131na ili\u015fkin somut bir \u00f6rnek g\u00f6rebileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-puntuacion-diferencial\"><\/span> Diferansiyel puan\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Fark puan\u0131,<\/strong> do\u011frudan puan ile veri k\u00fcmesinin ortalamas\u0131 aras\u0131ndaki farka e\u015fittir. Ba\u015fka bir deyi\u015fle fark puan\u0131, do\u011frudan puan ile ortalama aras\u0131ndaki mesafedir.<\/p>\n<p> Diferansiyel puan\u0131n\u0131n de\u011feri pozitif, negatif veya s\u0131f\u0131r olabilir:<\/p>\n<ul>\n<li> Fark puan\u0131n\u0131n pozitif olmas\u0131 direkt puan de\u011ferinin ortalaman\u0131n \u00fczerinde oldu\u011fu anlam\u0131na gelir.<\/li>\n<li> Fark puan\u0131n\u0131n negatif olmas\u0131 direkt puan de\u011ferinin ortalaman\u0131n alt\u0131nda oldu\u011fu anlam\u0131na gelir.<\/li>\n<li> Fark puan\u0131n\u0131n s\u0131f\u0131r olmas\u0131 direkt puan de\u011ferinin ortalamaya kar\u015f\u0131l\u0131k geldi\u011fi anlam\u0131na gelir.<\/li>\n<\/ul>\n<p> Do\u011frudan puan\u0131n verinin de\u011feri, yani bir \u00f6zelli\u011fi \u00f6l\u00e7erken elde edilen de\u011fer oldu\u011funu unutmay\u0131n.<\/p>\n<p> Bu nedenle diferansiyel puan\u0131 istatistiksel fark\u0131n de\u011feriyle \u00f6rt\u00fc\u015f\u00fcr. Bu nedenle iki kavram\u0131n yorumlanmas\u0131 benzer \u015fekilde yap\u0131l\u0131r: Diferansiyel puan ne kadar y\u00fcksek olursa, ortalamaya k\u0131yasla verilerin da\u011f\u0131l\u0131m\u0131 da o kadar b\u00fcy\u00fck olur. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-puntuacion-diferencial\"><\/span> Diferansiyel Puan Form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Fark puan\u0131,<\/strong> veri k\u00fcmesinin ortalamas\u0131n\u0131n do\u011frudan puan de\u011ferinden \u00e7\u0131kar\u0131lmas\u0131yla hesaplan\u0131r. Dolay\u0131s\u0131yla diferansiyel puan form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibidir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5c624c54c5233ab3c13e9b33b4efe27c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i=X_i-\\overline{X}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"98\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p> Alt\u0131n<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> diferansiyel puan\u0131,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a84020904813123dc75b89c701025ecd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"20\" style=\"vertical-align: -3px;\"><\/p>\n<p> do\u011frudan puand\u0131r ve<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5b485d4231dfeb4b50ddf271c3abb0b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> istatistiksel veri setinin aritmetik ortalamas\u0131d\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-puntuaciones-diferenciales\"><\/span> Diferansiyel puan \u00f6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Diferansiyel puan\u0131n tan\u0131m\u0131 ve form\u00fcl\u00fc g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, a\u015fa\u011f\u0131da \u00e7oklu diferansiyel puanlar\u0131n hesaplanmas\u0131na ili\u015fkin ger\u00e7ek d\u00fcnyadan bir \u00f6rnek verilmi\u015ftir; b\u00f6ylece bunun nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6rebilirsiniz.<\/p>\n<ul>\n<li> A\u015fa\u011f\u0131daki veri seti i\u00e7in fark puanlar\u0131n\u0131 hesaplay\u0131n: 7, 5, 4, 6, 3<\/li>\n<\/ul>\n<p> \u0130lk olarak veri serisinin ortalamas\u0131n\u0131 hesapl\u0131yoruz: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c54cf5503d46e63b570d6b16efcb2ddb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}=\\cfrac{7+5+4+6+3}{5}=5\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"204\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/aritmetik-ortalama\/\">aritmetik ortalamay\u0131 hesaplay\u0131n<\/a><\/div>\n<p> Daha sonra her verinin diferansiyel puan\u0131n\u0131 buluyoruz: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9b14a52a7e0bf35694185f93c9dbe410_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_1=7-5=2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"112\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-38aefe42da37dc7d6f1231f2c7fd4f12_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_2=5-5=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"113\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c389e2dd3380563fe7323f6db4a2a827_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_3=4-5=-1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"126\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b4fd0bf9ae00e6ba5e35010ed3cc85e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_4=6-5=1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"112\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7cadc035f5c372189dfe3b90d2b281ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_5=3-5=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"126\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"puntuaciones-diferenciales-y-puntuaciones-tipicas\"><\/span> Fark Puanlar\u0131 ve Tipik Puanlar<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Art\u0131k diferansiyel puanlar\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 bildi\u011fimize g\u00f6re, bunlar birbiriyle ili\u015fkili iki kavram oldu\u011fundan tipik puanlar\u0131n nas\u0131l hesaplanaca\u011f\u0131na bakal\u0131m.<\/p>\n<p> Bir g\u00f6zlemin <strong>tipik puan\u0131,<\/strong> fark puan\u0131n\u0131n verinin standart sapmas\u0131na b\u00f6l\u00fcnmesine e\u015fittir.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ef694aec8321dcaccac8a7d869bb437d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z=\\cfrac{X_i-\\overline{X}}{\\sigma}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"93\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Bu nedenle tipik puan fark puan\u0131ndan hesaplan\u0131r. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/tipik-puanlar\/\">tipik puanlar<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu yaz\u0131da diferansiyel puanlar\u0131n ne oldu\u011funu ve diferansiyel puanlar\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 \u00f6\u011freneceksiniz. Ek olarak, diferansiyel puanlar\u0131n hesaplanmas\u0131na ili\u015fkin somut bir \u00f6rnek g\u00f6rebileceksiniz. Diferansiyel puan\u0131 nedir? Fark puan\u0131, do\u011frudan puan ile veri k\u00fcmesinin ortalamas\u0131 aras\u0131ndaki farka e\u015fittir. Ba\u015fka bir deyi\u015fle fark puan\u0131, do\u011frudan puan ile ortalama aras\u0131ndaki mesafedir. Diferansiyel puan\u0131n\u0131n de\u011feri pozitif, negatif veya s\u0131f\u0131r olabilir: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-87","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Diferansiyel Puanlar - Olas\u0131l\u0131klar ve \u0130statistikler<\/title>\n<meta name=\"description\" content=\"Fark puanlar\u0131n\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) a\u00e7\u0131kl\u0131yoruz. 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Diferansiyel puanlar\u0131n hesaplanmas\u0131na ili\u015fkin somut bir \u00f6rnekle.","og_url":"https:\/\/statorials.org\/tr\/diferansiyel-puanlar\/","og_site_name":"Statorials","article_published_time":"2023-08-05T15:14:34+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5c624c54c5233ab3c13e9b33b4efe27c_l3.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"2 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/diferansiyel-puanlar\/","url":"https:\/\/statorials.org\/tr\/diferansiyel-puanlar\/","name":"\u25b7 Diferansiyel Puanlar - Olas\u0131l\u0131klar ve \u0130statistikler","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-08-05T15:14:34+00:00","dateModified":"2023-08-05T15:14:34+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Fark puanlar\u0131n\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) a\u00e7\u0131kl\u0131yoruz. 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Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/87","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=87"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/87\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=87"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=87"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=87"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}