{"id":935,"date":"2023-07-28T06:38:23","date_gmt":"2023-07-28T06:38:23","guid":{"rendered":"https:\/\/statorials.org\/tr\/hata-payi-ve-standart-hata-arasindaki-fark-nedir\/"},"modified":"2023-07-28T06:38:23","modified_gmt":"2023-07-28T06:38:23","slug":"hata-payi-ve-standart-hata-arasindaki-fark-nedir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/hata-payi-ve-standart-hata-arasindaki-fark-nedir\/","title":{"rendered":"Hata pay\u0131 ve standart hata: fark nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u00d6\u011frencilerin istatistikte s\u0131kl\u0131kla kar\u0131\u015ft\u0131rd\u0131\u011f\u0131 iki terim <strong>standart hata<\/strong> ve <strong>hata marj\u0131d\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Standart hata,<\/strong> bir pop\u00fclasyon ortalamas\u0131 tahmininin kesinli\u011fini \u00f6l\u00e7er. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Standart hata = s \/ \u221an<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> numune standart sapmas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Hata marj\u0131,<\/strong> <a href=\"https:\/\/statorials.org\/tr\/ortalama-guven-araligi\/\" target=\"_blank\" rel=\"noopener noreferrer\">bir pop\u00fclasyon ortalamas\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n<\/a> yar\u0131 geni\u015fli\u011fini \u00f6l\u00e7er. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Hata pay\u0131 = z*(s\/\u221an)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>z:<\/strong> Belirli bir g\u00fcven d\u00fczeyine kar\u015f\u0131l\u0131k gelen Z de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> numune standart sapmas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu fikri a\u00e7\u0131klamak i\u00e7in bir \u00f6rne\u011fe bakal\u0131m.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: standart hataya k\u0131yasla hata marj\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki bilgileri i\u00e7eren rastgele bir kaplumba\u011fa \u00f6rne\u011fi toplad\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc <strong>n = 25<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama numune a\u011f\u0131rl\u0131\u011f\u0131 <strong>x = 300<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6rneklem standart sapmas\u0131 <strong>s = 18,5<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u015eimdi kaplumba\u011fa pop\u00fclasyonunun ger\u00e7ek ortalama a\u011f\u0131rl\u0131\u011f\u0131 i\u00e7in %95&#8217;lik bir g\u00fcven aral\u0131\u011f\u0131 olu\u015fturmak istedi\u011fimizi varsayal\u0131m. Bu g\u00fcven aral\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in kullan\u0131lan form\u00fcl a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>G\u00fcven aral\u0131\u011f\u0131 = <span style=\"text-decoration: overline;\">x<\/span> +\/- z*(s\/\u221an)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> :<\/strong> \u00f6rnek ortalama<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> numune standart sapmas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>z:<\/strong> Belirli bir g\u00fcven d\u00fczeyine kar\u015f\u0131l\u0131k gelen Z de\u011feri<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kulland\u0131\u011f\u0131n\u0131z z de\u011feri se\u00e7ti\u011finiz g\u00fcven d\u00fczeyine ba\u011fl\u0131d\u0131r. A\u015fa\u011f\u0131daki tabloda en yayg\u0131n g\u00fcven d\u00fczeyi se\u00e7eneklerine kar\u015f\u0131l\u0131k gelen z de\u011feri g\u00f6sterilmektedir:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th> <span style=\"color: #000000;\"><strong>Bir g\u00fcven d\u00fczeyi<\/strong><\/span><\/th>\n<th> <span style=\"color: #000000;\"><strong>z de\u011feri<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">0,90<\/span><\/td>\n<td> <span style=\"color: #000000;\">1.645<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">0,95<\/span><\/td>\n<td> <span style=\"color: #000000;\">1.96<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">0,99<\/span><\/td>\n<td> <span style=\"color: #000000;\">2.58<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Daha y\u00fcksek g\u00fcven d\u00fczeylerinin daha b\u00fcy\u00fck z de\u011ferlerine kar\u015f\u0131l\u0131k geldi\u011fini ve bunun da daha geni\u015f g\u00fcven aral\u0131klar\u0131na yol a\u00e7t\u0131\u011f\u0131n\u0131 unutmay\u0131n. Bu, \u00f6rne\u011fin ayn\u0131 veri seti i\u00e7in %99 g\u00fcven aral\u0131\u011f\u0131n\u0131n %95 g\u00fcven aral\u0131\u011f\u0131ndan daha geni\u015f olaca\u011f\u0131 anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Standart hata<\/strong> \u015fu \u015fekilde hesaplanacakt\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong>Standard error<\/strong> = s\/\u221an = 18.5\/\u221a25 = <strong>3.7<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Hata pay\u0131<\/strong> \u015fu \u015fekilde hesaplanacakt\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong>Margin of error<\/strong> = z*(s\/\u221an) = 1.96*(18.5\/\u221a25) = <strong>7.25<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Ve %95 g\u00fcven aral\u0131\u011f\u0131 \u015fu \u015fekilde hesaplanacakt\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong>95% Confidence Interval<\/strong> = <span style=\"text-decoration: overline;\">x<\/span> +\/- z*(s\/\u221an) = 300 +\/- 1.96*(18.5\/\u221a25) = <strong>[292.75, 307.25]<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">T\u00fcm g\u00fcven aral\u0131\u011f\u0131n\u0131n geni\u015fli\u011finin 307,25 \u2013 292,75 = <strong>14,5<\/strong> oldu\u011funu unutmay\u0131n.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Hata pay\u0131n\u0131n bu geni\u015fli\u011fin yar\u0131s\u0131 kadar oldu\u011funa dikkat edin: 14,5 \/ 2 = <strong>7,25<\/strong> .<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ayr\u0131ca, hata marj\u0131n\u0131n standart hata \u00e7arp\u0131 kritik Z de\u011ferine e\u015fit olmas\u0131 nedeniyle hata marj\u0131n\u0131n her zaman standart hatadan daha b\u00fcy\u00fck olaca\u011f\u0131n\u0131 unutmay\u0131n. \u00d6nceki \u00f6rnekte hata pay\u0131n\u0131 bulmak i\u00e7in standart hatay\u0131 1,96 ile \u00e7arpm\u0131\u015ft\u0131k.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Ek<\/span> <span style=\"color: #000000;\">Kaynaklar<\/span><\/strong><\/h3>\n<p><a href=\"https:\/\/statorials.org\/tr\/guvenilirlik-araligi\/\" target=\"_blank\" rel=\"noopener noreferrer\">G\u00fcven aral\u0131klar\u0131 nedir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/standart-sapma-ve-standart-hata\/\" target=\"_blank\" rel=\"noopener noreferrer\">Standart sapma ve standart hata: fark nedir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00d6\u011frencilerin istatistikte s\u0131kl\u0131kla kar\u0131\u015ft\u0131rd\u0131\u011f\u0131 iki terim standart hata ve hata marj\u0131d\u0131r . Standart hata, bir pop\u00fclasyon ortalamas\u0131 tahmininin kesinli\u011fini \u00f6l\u00e7er. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: Standart hata = s \/ \u221an Alt\u0131n: s: numune standart sapmas\u0131 n: \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc Hata marj\u0131, bir pop\u00fclasyon ortalamas\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n yar\u0131 geni\u015fli\u011fini \u00f6l\u00e7er. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: Hata pay\u0131 = z*(s\/\u221an) [&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-935","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>Hata pay\u0131 ve standart hata: fark nedir?<\/title>\n<meta name=\"description\" content=\"Hata pay\u0131 ile standart hata aras\u0131ndaki fark\u0131n bir \u00f6rnekle basit bir a\u00e7\u0131klamas\u0131.\" \/>\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\/hata-payi-ve-standart-hata-arasindaki-fark-nedir\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Hata pay\u0131 ve standart hata: fark nedir?\" \/>\n<meta property=\"og:description\" content=\"Hata pay\u0131 ile standart hata aras\u0131ndaki fark\u0131n bir \u00f6rnekle basit bir a\u00e7\u0131klamas\u0131.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/hata-payi-ve-standart-hata-arasindaki-fark-nedir\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T06:38:23+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=\"2 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/hata-payi-ve-standart-hata-arasindaki-fark-nedir\/\",\"url\":\"https:\/\/statorials.org\/tr\/hata-payi-ve-standart-hata-arasindaki-fark-nedir\/\",\"name\":\"Hata pay\u0131 ve standart hata: fark nedir?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-28T06:38:23+00:00\",\"dateModified\":\"2023-07-28T06:38:23+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Hata pay\u0131 ile standart hata aras\u0131ndaki fark\u0131n bir \u00f6rnekle basit bir a\u00e7\u0131klamas\u0131.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/hata-payi-ve-standart-hata-arasindaki-fark-nedir\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/hata-payi-ve-standart-hata-arasindaki-fark-nedir\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/hata-payi-ve-standart-hata-arasindaki-fark-nedir\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Hata pay\u0131 ve standart hata: fark nedir?\"}]},{\"@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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