{"id":2009,"date":"2023-07-24T02:50:02","date_gmt":"2023-07-24T02:50:02","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-nokta-tahmini\/"},"modified":"2023-07-24T02:50:02","modified_gmt":"2023-07-24T02:50:02","slug":"rde-nokta-tahmini","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-nokta-tahmini\/","title":{"rendered":"R&#39;de nokta tahminleri nas\u0131l hesaplan\u0131r (\u00f6rneklerle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/nokta-tahmini-1\/\" target=\"_blank\" rel=\"noopener\">Nokta tahmini,<\/a> bir pop\u00fclasyon parametresini tahmin etmek i\u00e7in \u00f6rnek verilerden hesaplad\u0131\u011f\u0131m\u0131z bir say\u0131y\u0131 temsil eder. Bu, ger\u00e7ek pop\u00fclasyon parametresinin ne olabilece\u011fine dair m\u00fcmk\u00fcn olan en iyi tahminimizdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tablo pop\u00fclasyon parametrelerini tahmin etmek i\u00e7in kulland\u0131\u011f\u0131m\u0131z nokta tahminini g\u00f6stermektedir:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: left;\"> <span style=\"color: #000000;\"><strong>\u00d6l\u00e7\u00fcm<\/strong><\/span><\/th>\n<th> <span style=\"color: #000000;\"><strong>N\u00fcfus parametresi<\/strong><\/span><\/th>\n<th> <span style=\"color: #000000;\"><strong>Nokta tahmini<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\"> <span style=\"color: #000000;\">Anlam<\/span><\/td>\n<td style=\"text-align: left;\"> <span style=\"color: #000000;\">\u03bc (n\u00fcfus ortalamas\u0131)<\/span><\/td>\n<td style=\"text-align: left;\"> <span style=\"color: #000000;\"><span style=\"text-decoration: overline;\">x<\/span> (\u00f6rnek ortalama)<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\"> <span style=\"color: #000000;\">Oran<\/span><\/td>\n<td style=\"text-align: left;\"> <span style=\"color: #000000;\">\u03c0 (n\u00fcfus oran\u0131)<\/span><\/td>\n<td style=\"text-align: left;\"> <span style=\"color: #000000;\">p (\u00f6rnek oran\u0131)<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, R&#8217;deki pop\u00fclasyon ortalamas\u0131 ve pop\u00fclasyon oran\u0131 i\u00e7in nokta tahminlerinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Pop\u00fclasyon ortalamas\u0131n\u0131n nokta tahmini<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir tarladaki belirli bir bitki t\u00fcr\u00fcn\u00fcn ortalama y\u00fcksekli\u011fini (in\u00e7 cinsinden) tahmin etmek istedi\u011fimizi varsayal\u0131m. 13 bitkiden olu\u015fan basit rastgele bir \u00f6rnek topluyoruz ve her bitkinin y\u00fcksekli\u011fini \u00f6l\u00e7\u00fcyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod \u00f6rnek ortalaman\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data\n<\/span>data &lt;- c(8, 8, 9, 12, 13, 13, 14, 15, 19, 22, 23, 23, 24)\n\n<span style=\"color: #008080;\">#calculate sample mean\n<\/span>mean(data, na. <span style=\"color: #3366ff;\">rm<\/span> = <span style=\"color: #008000;\">TRUE<\/span> )\n\n[1] 15.61538<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u00d6rnek ortalama <b>15,6<\/b> in\u00e7tir. Bu, n\u00fcfus ortalamas\u0131na ili\u015fkin nokta tahminimizi temsil eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Pop\u00fclasyon ortalamas\u0131 i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131n\u0131 hesaplamak amac\u0131yla a\u015fa\u011f\u0131daki kodu da kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find sample size, sample mean, and sample standard deviation\n<\/span>n &lt;- length(data)\nxbar &lt;- mean(data, na. <span style=\"color: #3366ff;\">rm<\/span> = <span style=\"color: #008000;\">TRUE<\/span> )\ns &lt;- sd(data)\n\n<span style=\"color: #008080;\">#calculate margin of error\n<\/span>margin &lt;- qt(0.975,df=n-1)*s\/sqrt(n)\n\n<span style=\"color: #008080;\">#calculate lower and upper bounds of confidence interval\n<\/span>low &lt;- xbar - margin\nlow\n\n[1] 12.03575\n\n<span style=\"color: #008080;\">high &lt;- xbar + margin\n<\/span>high\n\n[1] 19.19502\n\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Pop\u00fclasyon ortalamas\u0131 i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131 <strong>[12,0, 19,2]<\/strong> in\u00e7tir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: N\u00fcfus oran\u0131n\u0131n nokta tahmini<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir \u015fehirdeki belirli bir yasay\u0131 destekleyen insanlar\u0131n oran\u0131n\u0131 tahmin etmek istedi\u011fimizi varsayal\u0131m. 20 vatanda\u015ftan olu\u015fan basit rastgele bir \u00f6rnekle r\u00f6portaj yap\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod \u00f6rnek oran\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data\n<\/span>data &lt;- c('Y', 'Y', 'Y', 'N', 'N', 'Y', 'Y', 'Y', 'N', 'Y',\n          'N', 'Y', 'Y', 'N', 'N', 'Y', 'Y', 'Y', 'N', 'N')\n\n<span style=\"color: #008080;\">#find total sample size\n<\/span>n &lt;- length(data)\n\n<span style=\"color: #008080;\">#find number who responded 'Yes'\n<\/span>k &lt;- sum(data == ' <span style=\"color: #ff0000;\">Y<\/span> ') \n\n<span style=\"color: #008080;\">#find sample proportion\n<\/span>p &lt;- k\/n\n\np\n\n[1] 0.6\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Yasay\u0131 destekleyen vatanda\u015flar\u0131n \u00f6rneklem oran\u0131 <b>0,6&#8217;d\u0131r<\/b> . Bu, n\u00fcfus oran\u0131na ili\u015fkin nokta tahminimizi temsil ediyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Pop\u00fclasyon ortalamas\u0131 i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131n\u0131 hesaplamak amac\u0131yla a\u015fa\u011f\u0131daki kodu da kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find total sample size\n<\/span>n &lt;- length(data)\n\n<span style=\"color: #008080;\">#find number who responded 'Yes'\n<\/span>k &lt;- sum(data == ' <span style=\"color: #ff0000;\">Y<\/span> ') \n\n<span style=\"color: #008080;\">#find sample proportion\n<\/span>p &lt;- k\/n\n\n<span style=\"color: #008080;\">#calculate margin of error\n<\/span>margin &lt;- qnorm(0.975)*sqrt(p*(1-p)\/n)\n\n<span style=\"color: #008080;\">#calculate lower and upper bounds of confidence interval\n<\/span>low &lt;- p - margin\nlow\n\n[1] 0.3852967\n\nhigh &lt;- p + margin\nhigh\n\n[1] 0.8147033\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">N\u00fcfus oran\u0131 i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131 <strong>[0,39, 0,81]&#8217;<\/strong> dir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rde-ozetlenen-bes-sayi\/\" target=\"_blank\" rel=\"noopener\">R&#8217;deki be\u015f say\u0131n\u0131n \u00f6zeti nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/r-cinsinden-guven-araligi\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de g\u00fcven aral\u0131klar\u0131 nas\u0131l bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/guven-araligini-cizin-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de bir g\u00fcven aral\u0131\u011f\u0131 nas\u0131l \u00e7izilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nokta tahmini, bir pop\u00fclasyon parametresini tahmin etmek i\u00e7in \u00f6rnek verilerden hesaplad\u0131\u011f\u0131m\u0131z bir say\u0131y\u0131 temsil eder. Bu, ger\u00e7ek pop\u00fclasyon parametresinin ne olabilece\u011fine dair m\u00fcmk\u00fcn olan en iyi tahminimizdir. A\u015fa\u011f\u0131daki tablo pop\u00fclasyon parametrelerini tahmin etmek i\u00e7in kulland\u0131\u011f\u0131m\u0131z nokta tahminini g\u00f6stermektedir: \u00d6l\u00e7\u00fcm N\u00fcfus parametresi Nokta tahmini Anlam \u03bc (n\u00fcfus ortalamas\u0131) x (\u00f6rnek ortalama) Oran \u03c0 (n\u00fcfus oran\u0131) p [&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-2009","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>R&#039;de Nokta Tahminleri Nas\u0131l Hesaplan\u0131r (\u00d6rneklerle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R&#039;de nokta tahminlerinin nas\u0131l hesaplanaca\u011f\u0131 \u00e7e\u015fitli \u00f6rneklerle 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\/rde-nokta-tahmini\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R&#039;de Nokta Tahminleri Nas\u0131l Hesaplan\u0131r (\u00d6rneklerle) - 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