{"id":1027,"date":"2023-07-27T22:32:02","date_gmt":"2023-07-27T22:32:02","guid":{"rendered":"https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/"},"modified":"2023-07-27T22:32:02","modified_gmt":"2023-07-27T22:32:02","slug":"grup-standart-sapmasi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/","title":{"rendered":"K\u00fcmelenmi\u015f standart sapma nas\u0131l hesaplan\u0131r (\u00f6rnekle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Havuzlanm\u0131\u015f standart sapma,<\/strong> iki veya daha fazla ba\u011f\u0131ms\u0131z grubun standart sapmalar\u0131n\u0131n a\u011f\u0131rl\u0131kl\u0131 ortalamas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130statistiklerde en yayg\u0131n olarak iki pop\u00fclasyonun ortalamalar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131lan <a href=\"https:\/\/statorials.org\/tr\/iki-orneginizi-test-edin\/\" target=\"_blank\" rel=\"noopener noreferrer\">iki \u00f6rnekli t testinde<\/a> g\u00f6r\u00fcl\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki grup i\u00e7in k\u00fcmelenmi\u015f standart sapmay\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Birle\u015ftirilmi\u015f standart sapma = \u221a <span style=\"border-top: 1px solid black;\">(n <sub>1<\/sub> -1)s <sub>1<\/sub> <sup>2<\/sup> + (n <sub>2<\/sub> -1)s <sub>2<\/sub> <sup>2<\/sup> \/ (n <sub>1<\/sub> +n <sub>2<\/sub> -2)<\/span><\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><sub>n1<\/sub> , <sub>n2<\/sub> :<\/strong> S\u0131ras\u0131yla grup 1 ve grup 2 i\u00e7in \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s <sub>1<\/sub> , s <sub>2<\/sub> :<\/strong> S\u0131ras\u0131yla grup 1 ve grup 2 i\u00e7in standart sapma.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Birle\u015ftirilmi\u015f standart sapman\u0131n yaln\u0131zca iki grup aras\u0131ndaki standart sapmalar\u0131n yakla\u015f\u0131k olarak e\u015fit oldu\u011fu varsay\u0131ld\u0131\u011f\u0131nda kullan\u0131lmas\u0131 gerekti\u011fini unutmay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ayr\u0131ca, birle\u015ftirilmi\u015f standart sapman\u0131n a\u011f\u0131rl\u0131kl\u0131 bir ortalama olmas\u0131 nedeniyle, en b\u00fcy\u00fck \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne sahip gruba daha fazla &#8220;a\u011f\u0131rl\u0131k&#8221; verece\u011fini unutmay\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Birle\u015ftirilmi\u015f Standart Sapman\u0131n Hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki bilgilere sahip iki farkl\u0131 grubumuz oldu\u011funu varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Grup 1:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc (n <sub>1<\/sub> ): 15<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6rnek standart sapmas\u0131 (s <sub>1<\/sub> ): 6,4<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Grup 2:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc (n <sub>2<\/sub> ): 19<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6rnek standart sapmas\u0131 ( <sub>s2<\/sub> ): 8,2<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu iki grubun toplu standart sapmas\u0131n\u0131 \u015fu \u015fekilde hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Birle\u015ftirilmi\u015f standart sapma = \u221a <span style=\"border-top: 1px solid black;\">(15-1)6,4 <sup>2<\/sup> + (19-1)8,2 <sup>2<\/sup> \/ (15+19-2)<\/span> = <strong>7,466<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">K\u00fcmelenmi\u015f standart sapma de\u011ferinin (7,466) k\u00fcme 1 (6,4) ve k\u00fcme 2 (8,2) standart sapma de\u011ferleri aras\u0131nda nas\u0131l d\u00fc\u015ft\u00fc\u011f\u00fcne dikkat edin.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Birle\u015ftirilmi\u015f standart sapman\u0131n yaln\u0131zca iki grup aras\u0131ndaki a\u011f\u0131rl\u0131kl\u0131 ortalama oldu\u011fu g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, bu mant\u0131kl\u0131 olmal\u0131d\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bonus: K\u00fcmelenmi\u015f Standart Sapma Hesaplay\u0131c\u0131s\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130ki grup aras\u0131ndaki birle\u015ftirilmi\u015f standart sapmay\u0131 h\u0131zl\u0131 bir \u015fekilde hesaplamak i\u00e7in Birle\u015ftirilmi\u015f Standart Sapma Hesaplay\u0131c\u0131s\u0131n\u0131 da kullanabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, manuel olarak hesaplad\u0131\u011f\u0131m\u0131z standart sapman\u0131n ayn\u0131s\u0131n\u0131 elde etmek i\u00e7in \u00f6nceki \u00f6rnekteki de\u011ferleri entegre edebiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10647\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pooledcalc1.png\" alt=\"K\u00fcmelenmi\u015f Standart Sapma Hesaplay\u0131c\u0131\" width=\"320\" height=\"413\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Her iki grup i\u00e7in ham veri de\u011ferlerini girmek ve birle\u015ftirilmi\u015f standart sapmay\u0131 bu \u015fekilde hesaplamak i\u00e7in hesap makinesindeki &#8220;Ham verileri girin&#8221; se\u00e7ene\u011fini de kullanabilece\u011finizi unutmay\u0131n.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Havuzlanm\u0131\u015f standart sapma, iki veya daha fazla ba\u011f\u0131ms\u0131z grubun standart sapmalar\u0131n\u0131n a\u011f\u0131rl\u0131kl\u0131 ortalamas\u0131d\u0131r. \u0130statistiklerde en yayg\u0131n olarak iki pop\u00fclasyonun ortalamalar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131lan iki \u00f6rnekli t testinde g\u00f6r\u00fcl\u00fcr. \u0130ki grup i\u00e7in k\u00fcmelenmi\u015f standart sapmay\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir: Birle\u015ftirilmi\u015f standart sapma = \u221a (n 1 -1)s 1 2 + (n 2 -1)s [&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-1027","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>K\u00fcmelenmi\u015f Standart Sapma Nas\u0131l Hesaplan\u0131r (\u00d6rnekle)<\/title>\n<meta name=\"description\" content=\"K\u00fcmelenmi\u015f standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131na ili\u015fkin form\u00fcl ve bir \u00f6rnek i\u00e7eren 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\/grup-standart-sapmasi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"K\u00fcmelenmi\u015f Standart Sapma Nas\u0131l Hesaplan\u0131r (\u00d6rnekle)\" \/>\n<meta property=\"og:description\" content=\"K\u00fcmelenmi\u015f standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131na ili\u015fkin form\u00fcl ve bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klama.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T22:32:02+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pooledcalc1.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=\"2 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/\",\"url\":\"https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/\",\"name\":\"K\u00fcmelenmi\u015f Standart Sapma Nas\u0131l Hesaplan\u0131r (\u00d6rnekle)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-27T22:32:02+00:00\",\"dateModified\":\"2023-07-27T22:32:02+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"K\u00fcmelenmi\u015f standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131na ili\u015fkin form\u00fcl ve bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klama.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"K\u00fcmelenmi\u015f standart sapma nas\u0131l hesaplan\u0131r (\u00f6rnekle)\"}]},{\"@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. Daha fazlas\u0131n\u0131 bil\",\"sameAs\":[\"https:\/\/statorials.org\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"K\u00fcmelenmi\u015f Standart Sapma Nas\u0131l Hesaplan\u0131r (\u00d6rnekle)","description":"K\u00fcmelenmi\u015f standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131na ili\u015fkin form\u00fcl ve bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klama.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/","og_locale":"tr_TR","og_type":"article","og_title":"K\u00fcmelenmi\u015f Standart Sapma Nas\u0131l Hesaplan\u0131r (\u00d6rnekle)","og_description":"K\u00fcmelenmi\u015f standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131na ili\u015fkin form\u00fcl ve bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klama.","og_url":"https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/","og_site_name":"Statorials","article_published_time":"2023-07-27T22:32:02+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pooledcalc1.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\/grup-standart-sapmasi\/","url":"https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/","name":"K\u00fcmelenmi\u015f Standart Sapma Nas\u0131l Hesaplan\u0131r (\u00d6rnekle)","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-07-27T22:32:02+00:00","dateModified":"2023-07-27T22:32:02+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"K\u00fcmelenmi\u015f standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131na ili\u015fkin form\u00fcl ve bir \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klama.","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/grup-standart-sapmasi\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"K\u00fcmelenmi\u015f standart sapma nas\u0131l hesaplan\u0131r (\u00f6rnekle)"}]},{"@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. 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\/1027","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=1027"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/1027\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=1027"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=1027"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=1027"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}