{"id":1501,"date":"2023-07-26T03:21:07","date_gmt":"2023-07-26T03:21:07","guid":{"rendered":"https:\/\/statorials.org\/tr\/guven-duzeyi-ve-guven-araligi\/"},"modified":"2023-07-26T03:21:07","modified_gmt":"2023-07-26T03:21:07","slug":"guven-duzeyi-ve-guven-araligi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/guven-duzeyi-ve-guven-araligi\/","title":{"rendered":"G\u00fcven d\u00fczeyi ve g\u00fcven aral\u0131\u011f\u0131: fark nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde s\u0131kl\u0131kla <a href=\"https:\/\/statorials.org\/tr\/istatistik-ve-parametre\/\" target=\"_blank\" rel=\"noopener\">n\u00fcfus parametrelerini<\/a> (t\u00fcm <a href=\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\" target=\"_blank\" rel=\"noopener\">n\u00fcfusun<\/a> belirli \u00f6zelliklerini tan\u0131mlayan say\u0131lar) \u00f6l\u00e7meye \u00e7al\u0131\u015f\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir \u00fclkedeki erkeklerin ortalama boyunu \u00f6l\u00e7mek ilgimizi \u00e7ekebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00dclkedeki her erke\u011fin boyuna ili\u015fkin veri toplamak \u00e7ok pahal\u0131 ve zaman al\u0131c\u0131 oldu\u011fundan, bunun yerine <a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener\">basit, rastgele bir erkek \u00f6rneklemi<\/a> \u00fczerinden veri topluyoruz. Daha sonra \u00fclkedeki t\u00fcm erkeklerin ortalama boyunu tahmin etmek i\u00e7in bu \u00f6rnekteki erkeklerin ortalama boyunu kullan\u0131rd\u0131k.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ne yaz\u0131k ki, \u00f6rneklemdeki erkeklerin ortalama boyunun t\u00fcm pop\u00fclasyondaki erkeklerin ortalama boyuna tam olarak uyaca\u011f\u0131 garanti edilmiyor. \u00d6rne\u011fin, daha k\u0131sa boylu erkeklerden olu\u015fan bir \u00f6rneklemi ya da belki daha uzun boylu erkeklerden olu\u015fan bir \u00f6rneklemi se\u00e7ebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek n\u00fcfus ortalamas\u0131na ili\u015fkin tahminimiz etraf\u0131ndaki belirsizli\u011fi yakalamak i\u00e7in bir g\u00fcven aral\u0131\u011f\u0131 olu\u015fturabiliriz.<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>G\u00fcven aral\u0131\u011f\u0131:<\/strong> Belirli bir g\u00fcven d\u00fczeyine sahip bir pop\u00fclasyon parametresini i\u00e7ermesi muhtemel de\u011fer aral\u0131\u011f\u0131.<\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Bir g\u00fcven aral\u0131\u011f\u0131 a\u015fa\u011f\u0131daki genel form\u00fcl kullan\u0131larak hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>G\u00fcven aral\u0131\u011f\u0131<\/strong> = (nokta tahmini) +\/- (kritik de\u011fer)* (standart hata)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, <a href=\"https:\/\/statorials.org\/tr\/populasyon-ortalamasiyla-karsilastirildiginda-ornek-ortalamasi\/\" target=\"_blank\" rel=\"noopener\">pop\u00fclasyon ortalamas\u0131<\/a> i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>G\u00fcven aral\u0131\u011f\u0131 =<\/strong> <strong><span style=\"text-decoration: overline;\">x<\/span> +\/- z*(s\/\u221a <span style=\"text-decoration: overline;\">n<\/span> )<\/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>z:<\/strong> z&#8217;nin kritik 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;\">Form\u00fclde kulland\u0131\u011f\u0131n\u0131z kritik z de\u011feri, se\u00e7ti\u011finiz <strong>g\u00fcven d\u00fczeyine<\/strong> ba\u011fl\u0131d\u0131r.<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>G\u00fcven D\u00fczeyi:<\/strong> Ger\u00e7ek pop\u00fclasyon parametresini i\u00e7ermesi beklenen t\u00fcm olas\u0131 \u00f6rneklerin y\u00fczdesi.<\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">G\u00fcven d\u00fczeyleri i\u00e7in en yayg\u0131n se\u00e7enekler %90, %95 ve %99&#8217;dur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tablo, bu pop\u00fcler g\u00fcven d\u00fczeyi se\u00e7imlerine kar\u015f\u0131l\u0131k gelen kritik z de\u011ferini g\u00f6stermektedir:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Bir g\u00fcven d\u00fczeyi<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>z kritik de\u011feri<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,90<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1.645<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,95<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1.96<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,99<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2.58<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\">\u00d6rne\u011fin, 25 erke\u011fin boyunu \u00f6l\u00e7t\u00fc\u011f\u00fcm\u00fcz\u00fc ve a\u015fa\u011f\u0131daki sonucu buldu\u011fumuzu 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 y\u00fcksekli\u011fi <strong><span style=\"text-decoration: overline;\">x<\/span> = 70 in\u00e7<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6rnek standart sapmas\u0131 <strong>s = 1,2 in\u00e7<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>%90 g\u00fcven d\u00fczeyini<\/strong> kullanarak ger\u00e7ek ortalama n\u00fcfus b\u00fcy\u00fckl\u00fc\u011f\u00fc i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131 nas\u0131l hesaplayaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">%90 g\u00fcven aral\u0131\u011f\u0131: 70 +\/- 1,645*(1,2\/\u221a25) = <strong>[69,6052, 70,3948]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, farkl\u0131 \u00f6rnekleri se\u00e7mek i\u00e7in ayn\u0131 \u00f6rnekleme y\u00f6ntemini kullansayd\u0131k ve her \u00f6rnek i\u00e7in bir g\u00fcven aral\u0131\u011f\u0131 hesaplasayd\u0131k, ger\u00e7ek ortalama pop\u00fclasyon b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fcn zaman\u0131n %90&#8217;\u0131 aral\u0131\u011f\u0131na d\u00fc\u015fmesini bekleyece\u011fimiz anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u015eimdi bunun yerine <strong>%95&#8217;lik bir g\u00fcven d\u00fczeyi kullanarak bir g\u00fcven aral\u0131\u011f\u0131 hesaplad\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">%95 g\u00fcven aral\u0131\u011f\u0131: 70 +\/- 1,96*(1,2\/\u221a25) = <strong>[69,5296, 70,4704]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu g\u00fcven aral\u0131\u011f\u0131n\u0131n \u00f6ncekinden daha geni\u015f oldu\u011funu unutmay\u0131n. Asl\u0131nda g\u00fcven d\u00fczeyi ne kadar y\u00fcksek olursa g\u00fcven aral\u0131\u011f\u0131 da o kadar geni\u015f olur.<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>G\u00fcven d\u00fczeyi ne kadar y\u00fcksek olursa g\u00fcven aral\u0131\u011f\u0131 da o kadar geni\u015f olur.<\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Bunun sezgisel bir anlam\u0131 olmal\u0131d\u0131r: Daha geni\u015f bir g\u00fcven d\u00fczeyi, ger\u00e7ek bir pop\u00fclasyon parametresini i\u00e7erme olas\u0131l\u0131\u011f\u0131n\u0131n daha y\u00fcksek olmas\u0131n\u0131 sa\u011flar.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6zet<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6zetle:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>G\u00fcven aral\u0131\u011f\u0131,<\/strong> belirli bir g\u00fcven d\u00fczeyine sahip bir pop\u00fclasyon parametresini i\u00e7ermesi muhtemel bir de\u011fer aral\u0131\u011f\u0131d\u0131r. A\u015fa\u011f\u0131daki temel form\u00fcl\u00fc kullan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">G\u00fcven aral\u0131\u011f\u0131 = (nokta tahmini) +\/- (kritik de\u011fer)* (standart hata)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>G\u00fcven d\u00fczeyi<\/strong> bu form\u00fclde kullan\u0131lacak kritik de\u011feri belirler. G\u00fcven d\u00fczeyi ne kadar y\u00fcksek olursa, kritik de\u011fer de o kadar b\u00fcy\u00fck olur ve dolay\u0131s\u0131yla g\u00fcven aral\u0131\u011f\u0131 da o kadar geni\u015f olur.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/guvenilirlik-araligi\/\" target=\"_blank\" rel=\"noopener\">G\u00fcven Aral\u0131klar\u0131na Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/hipotez-testi-1\/\" target=\"_blank\" rel=\"noopener\">Hipotez Testine Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/nokta-tahmini-1\/\" target=\"_blank\" rel=\"noopener\">Nokta tahmini nedir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerde s\u0131kl\u0131kla n\u00fcfus parametrelerini (t\u00fcm n\u00fcfusun belirli \u00f6zelliklerini tan\u0131mlayan say\u0131lar) \u00f6l\u00e7meye \u00e7al\u0131\u015f\u0131r\u0131z. \u00d6rne\u011fin, belirli bir \u00fclkedeki erkeklerin ortalama boyunu \u00f6l\u00e7mek ilgimizi \u00e7ekebilir. \u00dclkedeki her erke\u011fin boyuna ili\u015fkin veri toplamak \u00e7ok pahal\u0131 ve zaman al\u0131c\u0131 oldu\u011fundan, bunun yerine basit, rastgele bir erkek \u00f6rneklemi \u00fczerinden veri topluyoruz. Daha sonra \u00fclkedeki t\u00fcm erkeklerin ortalama boyunu tahmin etmek i\u00e7in [&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-1501","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>G\u00fcven d\u00fczeyi ve g\u00fcven aral\u0131\u011f\u0131: fark nedir?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, g\u00fcven d\u00fczeyleri ve g\u00fcven aral\u0131klar\u0131 aras\u0131ndaki fark\u0131n \u00f6rneklerle basit bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\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\/guven-duzeyi-ve-guven-araligi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"G\u00fcven d\u00fczeyi ve g\u00fcven aral\u0131\u011f\u0131: fark nedir?\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, g\u00fcven d\u00fczeyleri ve g\u00fcven aral\u0131klar\u0131 aras\u0131ndaki fark\u0131n \u00f6rneklerle basit bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/guven-duzeyi-ve-guven-araligi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T03:21:07+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=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/guven-duzeyi-ve-guven-araligi\/\",\"url\":\"https:\/\/statorials.org\/tr\/guven-duzeyi-ve-guven-araligi\/\",\"name\":\"G\u00fcven d\u00fczeyi ve g\u00fcven aral\u0131\u011f\u0131: fark nedir?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-26T03:21:07+00:00\",\"dateModified\":\"2023-07-26T03:21:07+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, g\u00fcven d\u00fczeyleri ve g\u00fcven aral\u0131klar\u0131 aras\u0131ndaki fark\u0131n \u00f6rneklerle basit bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/guven-duzeyi-ve-guven-araligi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/guven-duzeyi-ve-guven-araligi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/guven-duzeyi-ve-guven-araligi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"G\u00fcven d\u00fczeyi ve g\u00fcven aral\u0131\u011f\u0131: 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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