{"id":1625,"date":"2023-07-25T14:58:26","date_gmt":"2023-07-25T14:58:26","guid":{"rendered":"https:\/\/statorials.org\/tr\/standart-oran-hatasi\/"},"modified":"2023-07-25T14:58:26","modified_gmt":"2023-07-25T14:58:26","slug":"standart-oran-hatasi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/standart-oran-hatasi\/","title":{"rendered":"Standart orant\u0131 hatas\u0131: form\u00fcl ve \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde s\u0131kl\u0131kla bir <a href=\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\" target=\"_blank\" rel=\"noopener\">pop\u00fclasyondaki<\/a> belirli bir \u00f6zelli\u011fe sahip bireylerin oran\u0131n\u0131 tahmin etmeye \u00e7al\u0131\u015f\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir \u015fehirde yeni bir yasay\u0131 destekleyen sakinlerin oran\u0131n\u0131 tahmin etmek isteyebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her sakine yasay\u0131 destekleyip desteklemediklerini sormak yerine, <a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener\">basit rastgele bir \u00f6rnek<\/a> toplayacak ve \u00f6rnekteki ka\u00e7 sakinin yasay\u0131 destekledi\u011fini \u00f6\u011frenece\u011fiz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra <strong>\u00f6rnek oran\u0131n\u0131 (p\u0302)<\/strong> a\u015fa\u011f\u0131daki gibi hesaplayaca\u011f\u0131z:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>Oran form\u00fcl\u00fc \u00f6rne\u011fi:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>p\u0302 = x \/ n<\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> \u00d6rneklemdeki belirli bir \u00f6zelli\u011fe sahip bireylerin say\u0131s\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u00d6rneklemdeki toplam birey say\u0131s\u0131.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Daha sonra n\u00fcfus oran\u0131n\u0131 <em>tahmin etmek<\/em> i\u00e7in bu \u00f6rnek oran\u0131n\u0131 kullan\u0131r\u0131z. \u00d6rne\u011fin \u00f6rneklemdeki 300 sakinin 47&#8217;si yeni yasay\u0131 destekliyorsa \u00f6rneklem oran\u0131 \u015fu \u015fekilde hesaplanacakt\u0131r: 47\/300 = <strong>0,157<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, n\u00fcfus i\u00e7inde yasay\u0131 destekleyen sakinlerin oran\u0131na ili\u015fkin en iyi tahminimizin <strong>0,157<\/strong> olaca\u011f\u0131 anlam\u0131na geliyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak bu tahminin ger\u00e7ek n\u00fcfus oran\u0131na tam olarak uyaca\u011f\u0131n\u0131n garantisi yoktur, dolay\u0131s\u0131yla genellikle <strong>oran\u0131n standart hatas\u0131n\u0131<\/strong> da hesaplar\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>Oran form\u00fcl\u00fcn\u00fcn standart hatas\u0131:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Standart hata = \u221a <span style=\"text-decoration: overline;\">p\u0302(1-p\u0302) \/ n<\/span><\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, p\u0302 = 0,157 ve n = 300 ise oran\u0131n standart hatas\u0131n\u0131 \u015fu \u015fekilde hesaplar\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Orant\u0131 standart hatas\u0131 = \u221a <span style=\"text-decoration: overline;\">0,157(1-0,157) \/ 300<\/span> = <strong>0,021<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra genellikle bu standart hatay\u0131 yasay\u0131 destekleyen sakinlerin ger\u00e7ek oran\u0131na ili\u015fkin bir g\u00fcven aral\u0131\u011f\u0131 hesaplamak i\u00e7in kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<blockquote>\n<p> <strong><span style=\"color: #000000;\">N\u00fcfus oran\u0131 form\u00fcl\u00fc i\u00e7in g\u00fcven aral\u0131\u011f\u0131:<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\"><strong>G\u00fcven aral\u0131\u011f\u0131 = p\u0302<\/strong> <strong>+\/- z*\u221a <span style=\"text-decoration: overline;\">p\u0302(1-p\u0302) \/ n<\/span><\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Bu form\u00fcle bak\u0131ld\u0131\u011f\u0131nda <strong>oran\u0131n standart hatas\u0131 ne kadar b\u00fcy\u00fckse g\u00fcven aral\u0131\u011f\u0131n\u0131n da o kadar geni\u015f oldu\u011funu<\/strong> g\u00f6rmek kolayd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Form\u00fcldeki <strong>z&#8217;nin<\/strong> , en yayg\u0131n g\u00fcven d\u00fczeyi se\u00e7eneklerine kar\u015f\u0131l\u0131k gelen z de\u011feri oldu\u011funa dikkat edin:<\/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 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> <span style=\"color: #000000;\">\u00d6rne\u011fin, yeni yasay\u0131 destekleyen \u015fehir sakinlerinin ger\u00e7ek oran\u0131 i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131n\u0131 \u015fu \u015fekilde hesaplayabilirsiniz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">%95 GA = p\u0302 +\/- z*\u221a <span style=\"text-decoration: overline;\">p\u0302(1-p\u0302) \/ n<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\">%95 GA = 0,157 +\/- 1,96*\u221a <span style=\"text-decoration: overline;\">0,157(1-0,157) \/ 300<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\">%95 GA = 0,157 +\/- 1,96*(0,021)<\/span><\/li>\n<li> <span style=\"color: #000000;\">%95 GA = [.10884, .19816]<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla, yeni yasay\u0131 destekleyen \u015fehir sakinlerinin ger\u00e7ek oran\u0131n\u0131n %95 g\u00fcvenle %10,884 ile %19,816 aras\u0131nda oldu\u011funu s\u00f6yleyebiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/oranti-hesaplayicisinin-standart-hatasi\/\" target=\"_blank\" rel=\"noopener\">Oran hesaplay\u0131c\u0131n\u0131n standart hatas\u0131<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/guven-araligi-oran-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Oran hesaplay\u0131c\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/nufus-orani\/\" target=\"_blank\" rel=\"noopener\">N\u00fcfus oran\u0131 nedir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerde s\u0131kl\u0131kla bir pop\u00fclasyondaki belirli bir \u00f6zelli\u011fe sahip bireylerin oran\u0131n\u0131 tahmin etmeye \u00e7al\u0131\u015f\u0131r\u0131z. \u00d6rne\u011fin, belirli bir \u015fehirde yeni bir yasay\u0131 destekleyen sakinlerin oran\u0131n\u0131 tahmin etmek isteyebiliriz. Her sakine yasay\u0131 destekleyip desteklemediklerini sormak yerine, basit rastgele bir \u00f6rnek toplayacak ve \u00f6rnekteki ka\u00e7 sakinin yasay\u0131 destekledi\u011fini \u00f6\u011frenece\u011fiz. Daha sonra \u00f6rnek oran\u0131n\u0131 (p\u0302) a\u015fa\u011f\u0131daki gibi hesaplayaca\u011f\u0131z: Oran form\u00fcl\u00fc [&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-1625","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>Standart orant\u0131 hatas\u0131: form\u00fcl ve \u00f6rnek<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnekle orant\u0131 standart hatas\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\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\/standart-oran-hatasi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Standart orant\u0131 hatas\u0131: form\u00fcl ve \u00f6rnek\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnekle orant\u0131 standart hatas\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/standart-oran-hatasi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T14:58:26+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\/standart-oran-hatasi\/\",\"url\":\"https:\/\/statorials.org\/tr\/standart-oran-hatasi\/\",\"name\":\"Standart orant\u0131 hatas\u0131: form\u00fcl ve \u00f6rnek\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-25T14:58:26+00:00\",\"dateModified\":\"2023-07-25T14:58:26+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnekle orant\u0131 standart hatas\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/standart-oran-hatasi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/standart-oran-hatasi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/standart-oran-hatasi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Standart orant\u0131 hatas\u0131: form\u00fcl ve \u00f6rnek\"}]},{\"@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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