{"id":1357,"date":"2023-07-26T17:53:35","date_gmt":"2023-07-26T17:53:35","guid":{"rendered":"https:\/\/statorials.org\/tr\/nufus-orani\/"},"modified":"2023-07-26T17:53:35","modified_gmt":"2023-07-26T17:53:35","slug":"nufus-orani","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/nufus-orani\/","title":{"rendered":"N\u00fcfus oran\u0131 nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde <strong>n\u00fcfus oran\u0131<\/strong> , bir <a href=\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\" target=\"_blank\" rel=\"noopener\">n\u00fcfusta<\/a> belirli bir \u00f6zelli\u011fe sahip bireylerin oran\u0131n\u0131 ifade eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir \u015fehirde ya\u015fayanlar\u0131n %43,8&#8217;inin yeni bir yasay\u0131 destekledi\u011fini varsayal\u0131m. <strong>0,438<\/strong> de\u011feri n\u00fcfus oran\u0131n\u0131 temsil eder.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>N\u00fcfus oran\u0131 form\u00fcl\u00fc<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">N\u00fcfus oran\u0131 her zaman 0 ila 1 aras\u0131ndad\u0131r (veya y\u00fczde olarak %0 ila %100) ve a\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <strong>p = X \/ N<\/strong><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p:<\/strong> N\u00fcfusun oran\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>X:<\/strong> Bir pop\u00fclasyonda belirli bir \u00f6zelli\u011fe sahip bireylerin say\u0131s\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> Bir pop\u00fclasyondaki toplam birey say\u0131s\u0131.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>N\u00fcfus oran\u0131 nas\u0131l tahmin edilir<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir pop\u00fclasyondaki her bir birey i\u00e7in veri toplamak genellikle \u00e7ok zaman al\u0131c\u0131 ve pahal\u0131 oldu\u011fundan, genellikle bir \u00f6rnek i\u00e7in veri topluyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir \u015fehirde ya\u015fayanlar\u0131n ne kadar\u0131n\u0131n yeni bir yasay\u0131 destekledi\u011fini bilmek istedi\u011fimizi varsayal\u0131m. N\u00fcfus toplamda 50.000 ki\u015fiden olu\u015fuyorsa, 1.000 ki\u015fiden olu\u015fan <a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener\">basit rastgele bir \u00f6rneklem<\/a> alabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12212 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pop_vs_sample3.png\" alt=\"\" width=\"381\" height=\"514\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra \u00f6rnek oran\u0131n\u0131 a\u015fa\u011f\u0131daki gibi hesaplayaca\u011f\u0131z:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">p\u0302 = x \/ n<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p\u0302 :<\/strong> \u00f6rnek oran\u0131<\/span><\/li>\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 1.000 sakinin 367&#8217;si yeni yasay\u0131 destekliyorsa \u00f6rneklem oran\u0131 \u015fu \u015fekilde hesaplanacakt\u0131r: 367\/1.000 = <strong>0,367<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla n\u00fcfus i\u00e7inde yasay\u0131 destekleyen sakinlerin oran\u0131na ili\u015fkin en iyi tahminimiz <strong>0,367 olacakt\u0131r<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>N\u00fcfusun bir k\u0131sm\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6rneklem oran\u0131 bize ger\u00e7ek n\u00fcfus oran\u0131na ili\u015fkin bir tahmin vermesine ra\u011fmen, \u00f6rneklem oran\u0131n\u0131n n\u00fcfus oran\u0131yla tam olarak e\u015fle\u015fece\u011finin garantisi yoktur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle, genellikle bir g\u00fcven aral\u0131\u011f\u0131 olu\u015ftururuz; bu aral\u0131k, y\u00fcksek g\u00fcven derecesine sahip, n\u00fcfusun ger\u00e7ek oran\u0131n\u0131 i\u00e7ermesi muhtemel bir de\u011fer aral\u0131\u011f\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/guven-araligi-orani\/\" target=\"_blank\" rel=\"noopener\">N\u00fcfus oran\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131<\/a> hesaplama form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibidir:<\/span><\/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<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p\u0302:<\/strong> \u00f6rnek oran\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>z:<\/strong> se\u00e7ilen z de\u011feri<\/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;\">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 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;\">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 %95 g\u00fcven aral\u0131\u011f\u0131n\u0131n %90 g\u00fcven aral\u0131\u011f\u0131ndan daha geni\u015f olaca\u011f\u0131 anlam\u0131na gelir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: N\u00fcfusun bir oran\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir \u015fehirde belirli bir yasay\u0131 destekleyen sakinlerin oran\u0131n\u0131 tahmin etmek istedi\u011fimizi varsayal\u0131m. 100 sakinden rastgele bir \u00f6rnek se\u00e7iyoruz ve onlara yasadaki konumlar\u0131n\u0131n ne oldu\u011funu soruyoruz. Sonu\u00e7lar burada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc <strong>n = 100<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Kanun lehine oran <strong>p\u0302<\/strong> <strong>= 0,56<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">N\u00fcfus oran\u0131 i\u00e7in farkl\u0131 g\u00fcven aral\u0131klar\u0131n\u0131 nas\u0131l bulaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>%90 g\u00fcven aral\u0131\u011f\u0131:<\/strong> 0,56 +\/- 1,645*(\u221a <span style=\"text-decoration: overline;\">0,56(1-0,56) \/ 100<\/span> ) = <strong>[0,478, 0,642]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>%95 g\u00fcven aral\u0131\u011f\u0131:<\/strong> 0,56 +\/- 1,96*(\u221a <span style=\"text-decoration: overline;\">0,56(1-0,56) \/ 100<\/span> ) = <strong>[0,463, 0,657]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>%99 g\u00fcven aral\u0131\u011f\u0131:<\/strong> 0,56 +\/- 2,58*(\u221a <span style=\"text-decoration: overline;\">0,56(1-0,56) \/ 100<\/span> ) = <strong>[0,432, 0,688]<\/strong><\/span><\/p>\n<p> <em><span style=\"color: #000000;\"><strong>Not:<\/strong> Bu g\u00fcven aral\u0131klar\u0131n\u0131 <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&#8217;n\u0131<\/a> kullanarak da bulabilirsiniz.<\/span><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerde n\u00fcfus oran\u0131 , bir n\u00fcfusta belirli bir \u00f6zelli\u011fe sahip bireylerin oran\u0131n\u0131 ifade eder. \u00d6rne\u011fin, belirli bir \u015fehirde ya\u015fayanlar\u0131n %43,8&#8217;inin yeni bir yasay\u0131 destekledi\u011fini varsayal\u0131m. 0,438 de\u011feri n\u00fcfus oran\u0131n\u0131 temsil eder. N\u00fcfus oran\u0131 form\u00fcl\u00fc N\u00fcfus oran\u0131 her zaman 0 ila 1 aras\u0131ndad\u0131r (veya y\u00fczde olarak %0 ila %100) ve a\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: p = X [&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-1357","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>N\u00fcfus oran\u0131 nedir? - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, tan\u0131m ve \u00f6rnekler de dahil olmak \u00fczere n\u00fcfus oranlar\u0131na h\u0131zl\u0131 bir giri\u015f 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\/nufus-orani\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"N\u00fcfus oran\u0131 nedir? - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, tan\u0131m ve \u00f6rnekler de dahil olmak \u00fczere n\u00fcfus oranlar\u0131na h\u0131zl\u0131 bir giri\u015f sa\u011flanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/nufus-orani\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T17:53:35+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pop_vs_sample3.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=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/nufus-orani\/\",\"url\":\"https:\/\/statorials.org\/tr\/nufus-orani\/\",\"name\":\"N\u00fcfus oran\u0131 nedir? - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-26T17:53:35+00:00\",\"dateModified\":\"2023-07-26T17:53:35+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, tan\u0131m ve \u00f6rnekler de dahil olmak \u00fczere n\u00fcfus oranlar\u0131na h\u0131zl\u0131 bir giri\u015f sa\u011flanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/nufus-orani\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/nufus-orani\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/nufus-orani\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"N\u00fcfus oran\u0131 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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