{"id":251,"date":"2023-08-03T14:52:03","date_gmt":"2023-08-03T14:52:03","guid":{"rendered":"https:\/\/statorials.org\/tr\/aralik-tahmini\/"},"modified":"2023-08-03T14:52:03","modified_gmt":"2023-08-03T14:52:03","slug":"aralik-tahmini","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/aralik-tahmini\/","title":{"rendered":"Tahmin aral\u0131\u011f\u0131"},"content":{"rendered":"<p>Bu makalede istatistikte aral\u0131k tahmininin ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca aral\u0131k tahmininin nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 ve son olarak aral\u0131k tahmininin nokta tahmininden ne kadar farkl\u0131 oldu\u011funu da \u00f6\u011freneceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-estimacion-por-intervalos\"><\/span> Aral\u0131k tahmini nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte <strong>aral\u0131k tahmini<\/strong> , bir pop\u00fclasyon parametresinin de\u011ferinin bir aral\u0131k kullan\u0131larak tahmin edildi\u011fi bir s\u00fcre\u00e7tir. Daha do\u011frusu aral\u0131k tahmini, parametre de\u011ferinin belirli bir <a href=\"https:\/\/statorials.org\/tr\/bir-guven-seviyesi\/\">g\u00fcven d\u00fczeyiyle<\/a> bulunma olas\u0131l\u0131\u011f\u0131n\u0131n en y\u00fcksek oldu\u011fu aral\u0131\u011f\u0131n hesaplanmas\u0131n\u0131 i\u00e7erir.<\/p>\n<p> \u00d6rne\u011fin, bir aral\u0131k tahmininde pop\u00fclasyon ortalamas\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n (3,7) oldu\u011fu ve %95 g\u00fcven d\u00fczeyine sahip oldu\u011fu sonucuna var\u0131rsak, bu, incelenen pop\u00fclasyonun ortalamas\u0131n\u0131n 3 ile 7 aras\u0131nda olaca\u011f\u0131 anlam\u0131na gelir. olas\u0131l\u0131k %95&#8217;tir.<\/p>\n<p> Genel olarak, bir pop\u00fclasyonun boyutu, t\u00fcm bireylerini incelemek i\u00e7in \u00e7ok b\u00fcy\u00fck oldu\u011fundan, istatistiksel \u00f6l\u00e7\u00fcmlerinin de\u011feri kesin olarak bilinemez, bunun yerine yakla\u015f\u0131k bir de\u011fer olarak bilinebilir.<\/p>\n<p> Bu nedenle, aral\u0131k tahmini, \u00f6rnek verilere dayanarak, pop\u00fclasyon parametresinin aralar\u0131nda yer ald\u0131\u011f\u0131 de\u011fer aral\u0131\u011f\u0131n\u0131n yakla\u015f\u0131k bir tahminini sa\u011flamak i\u00e7in kullan\u0131l\u0131r. Bu \u015fekilde bir \u00f6rneklemden \u00e7al\u0131\u015f\u0131lan verilerden pop\u00fclasyon parametresinin de\u011feri tahmin edilebilir.<\/p>\n<p> Son olarak, aral\u0131k tahmininin anlam\u0131n\u0131 tam olarak anlamak i\u00e7in g\u00fcven aral\u0131\u011f\u0131 kavram\u0131 konusunda net olman\u0131z gerekir. <strong>G\u00fcven aral\u0131\u011f\u0131<\/strong> , bir hata pay\u0131 ile, bir pop\u00fclasyon parametresinin de\u011ferinin aralar\u0131nda bulundu\u011fu de\u011ferlerin yakla\u015f\u0131kl\u0131\u011f\u0131n\u0131 sa\u011flayan aral\u0131kt\u0131r. Bu nedenle g\u00fcven aral\u0131\u011f\u0131, aral\u0131k tahmininden elde edilen sonu\u00e7tur. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/guven-araligi\/\">G\u00fcven aral\u0131\u011f\u0131 nedir?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formulas-de-la-estimacion-por-intervalos\"><\/span> Aral\u0131k tahmin form\u00fclleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u015fa\u011f\u0131da g\u00fcven aral\u0131klar\u0131n\u0131 tahmin etmek i\u00e7in farkl\u0131 form\u00fcller bulacaks\u0131n\u0131z; \u00e7\u00fcnk\u00fc ortalama i\u00e7in, varyans i\u00e7in veya oran i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131 tahmin etmek isteyip istemedi\u011finize ba\u011fl\u0131 olarak kullan\u0131lacak form\u00fcl farkl\u0131d\u0131r. <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"intervalo-de-confianza-para-la-media\"><\/span> Ortalama i\u00e7in g\u00fcven aral\u0131\u011f\u0131<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Bir de\u011fi\u015fken girme s\u00fcrecinin \u015fu \u015fekilde ger\u00e7ekle\u015fti\u011fini varsayarsak:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f93a5e76c38b2e2556bd62ba66db5947_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{X-\\mu}{\\displaystyle\\frac{\\sigma}{\\sqrt{n}}} \\sim N(0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"60\" width=\"165\" style=\"vertical-align: -34px;\"><\/p>\n<\/p>\n<p> Ortalama i\u00e7in g\u00fcven aral\u0131\u011f\u0131, Z <sub>\u03b1\/2<\/sub> de\u011ferinin standart sapma (\u03c3) ile \u00e7arp\u0131lmas\u0131 ve numune boyutunun (n) karek\u00f6k\u00fcne b\u00f6l\u00fcnmesiyle numune ortalamas\u0131ndan toplan\u0131p \u00e7\u0131kar\u0131larak hesaplan\u0131r. Bu nedenle ortalaman\u0131n g\u00fcven aral\u0131\u011f\u0131n\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-985a374c69b468deb3d6d159fcbe6de5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\overline{x}-z_{\\alpha\/2}\\cdot \\frac{\\sigma}{\\sqrt{n}} \\ , \\ \\overline{x}+z_{\\alpha\/2}\\cdot \\frac{\\sigma}{\\sqrt{n}} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"251\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> B\u00fcy\u00fck \u00f6rneklem boyutlar\u0131 ve %95 g\u00fcven d\u00fczeyi i\u00e7in kritik de\u011fer Z <sub>\u03b1\/2<\/sub> = 1,96 ve %99 g\u00fcven d\u00fczeyi i\u00e7in kritik de\u011fer Z <sub>\u03b1\/2<\/sub> = 2,576&#8217;d\u0131r.<\/p>\n<p> Pop\u00fclasyon varyans\u0131 bilindi\u011finde yukar\u0131daki form\u00fcl kullan\u0131l\u0131r. Bununla birlikte, en yayg\u0131n durum olan pop\u00fclasyon varyans\u0131 bilinmiyorsa, <strong>ortalaman\u0131n g\u00fcven aral\u0131\u011f\u0131 a\u015fa\u011f\u0131daki form\u00fcl kullan\u0131larak hesaplan\u0131r:<\/strong><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e40e2c40fbfe4f5aa96c21ff979aae5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\overline{x}-t_{\\alpha\/2}\\cdot \\frac{s}{\\sqrt{n}} \\ , \\ \\overline{x}+t_{\\alpha\/2}\\cdot \\frac{s}{\\sqrt{n}} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"247\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rnek anlam\u0131na gelir.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-33bd5d525ddf37600aef97b0c8c08f94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t_{\\alpha\/2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"29\" style=\"vertical-align: -8px;\"><\/p>\n<p> \u03b1\/2 olas\u0131l\u0131\u011f\u0131 ile n-1 serbestlik derecesinin \u00d6\u011frenci t da\u011f\u0131l\u0131m\u0131n\u0131n de\u011feridir.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1edc883862ceed1a21913f60358e31d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rnek standart sapmas\u0131d\u0131r.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr. <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/intervalle-de-confiance.png\" alt=\"g\u00fcven aral\u0131\u011f\u0131\" class=\"wp-image-5249\" width=\"351\" height=\"339\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/ortalama-icin-guven-araligi\/\">Ortalama i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n hesaplanmas\u0131na ili\u015fkin pratik \u00f6rnek<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"intervalo-de-confianza-para-la-varianza\"><\/span> Varyans i\u00e7in g\u00fcven aral\u0131\u011f\u0131<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Bir pop\u00fclasyonun varyans\u0131n\u0131n g\u00fcven aral\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in ki-kare da\u011f\u0131l\u0131m\u0131 kullan\u0131l\u0131r. Daha spesifik olarak <strong>varyans\u0131n g\u00fcven aral\u0131\u011f\u0131n\u0131 hesaplama form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c81b971afee9691573e8400dc0945c37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( (n-1)\\frac{s^2}{\\chi_{n-1;\\alpha\/2}} \\ , \\ (n-1)\\frac{s^2}{\\chi_{n-1;1-\\alpha\/2}}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"304\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1edc883862ceed1a21913f60358e31d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rnek standart sapmas\u0131d\u0131r.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a1f2f5b5bd065f40d0b8c175d6d48950_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{n-1;\\alpha\/2}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"64\" style=\"vertical-align: -8px;\"><\/p>\n<p> \u03b1\/2&#8217;den k\u00fc\u00e7\u00fck bir olas\u0131l\u0131k i\u00e7in n-1 serbestlik derecesine sahip Ki-kare da\u011f\u0131l\u0131m\u0131n\u0131n de\u011feridir.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f1726e9973441084f7ac98c5550f1b23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{n-1;1-\\alpha\/2}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"82\" style=\"vertical-align: -8px;\"><\/p>\n<p> 1-\u03b1\/2&#8217;den b\u00fcy\u00fck bir olas\u0131l\u0131k i\u00e7in n-1 serbestlik derecesine sahip Ki-kare da\u011f\u0131l\u0131m\u0131n\u0131n de\u011feridir. <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/varyans-icin-guven-araligi\/\">Varyans i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n hesaplanmas\u0131na ili\u015fkin pratik \u00f6rnek<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"intervalo-de-confianza-para-la-proporcion\"><\/span> Orant\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Oran\u0131n g\u00fcven aral\u0131\u011f\u0131, Z <sub>\u03b1\/2<\/sub> de\u011ferinin \u00f6rnek oran\u0131n\u0131n karek\u00f6k\u00fcyle (p) \u00e7arp\u0131lmas\u0131, 1-p ile \u00e7arp\u0131lmas\u0131 ve \u00f6rnek boyutuna (n) b\u00f6l\u00fcnmesiyle \u00f6rnek oran\u0131na eklenip \u00e7\u0131kar\u0131larak hesaplan\u0131r. Bu nedenle <strong>orana ili\u015fkin g\u00fcven aral\u0131\u011f\u0131n\u0131 hesaplama form\u00fcl\u00fc<\/strong> \u015fu \u015fekildedir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a328986eaa330c075c7fb85780df6411_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(p-Z_{\\alpha\/2}\\sqrt{\\frac{p(1-p)}{n}}\\ , \\ p+Z_{\\alpha\/2}\\sqrt{\\frac{p(1-p)}{n}}\\right) \" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"339\" style=\"vertical-align: -23px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n: <\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5faad0904f612a3fa5b27faafb8dc903_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"p\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00f6rnek oran\u0131d\u0131r.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr.<\/li>\n<li style=\"margin-bottom:7px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6f8ee37ecf97c2a7c7d6dbe8fddddc27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z_{\\alpha\/2}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"34\" style=\"vertical-align: -8px;\"><\/p>\n<p> \u03b1\/2 olas\u0131l\u0131\u011f\u0131na kar\u015f\u0131l\u0131k gelen standart normal da\u011f\u0131l\u0131m\u0131n niceli\u011fidir. B\u00fcy\u00fck \u00f6rneklem b\u00fcy\u00fckl\u00fckleri ve %95 g\u00fcven d\u00fczeyi i\u00e7in genellikle 1,96&#8217;ya, %99 g\u00fcven d\u00fczeyi i\u00e7in ise genellikle 2,576&#8217;ya yak\u0131nd\u0131r. <\/li>\n<\/ul>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/oranti-icin-guven-araligi\/\">Oran i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n hesaplanmas\u0131na ili\u015fkin pratik \u00f6rnek<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"estimacion-por-intervalos-y-estimacion-puntual\"><\/span> Aral\u0131k tahmini ve nokta tahmini<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Son olarak, bir pop\u00fclasyon parametresinin de\u011feri bir aral\u0131k (makale boyunca g\u00f6rd\u00fc\u011f\u00fcm\u00fcz gibi) veya bir nokta de\u011feri kullan\u0131larak tahmin edilebildi\u011finden, aral\u0131k tahmini ile nokta tahmini aras\u0131ndaki farklar\u0131n neler oldu\u011funu g\u00f6rece\u011fiz.<\/p>\n<p> <strong>Aral\u0131k tahmini ile nokta tahmini aras\u0131ndaki fark,<\/strong> parametre tahmininde kullan\u0131lan de\u011ferlerin aral\u0131\u011f\u0131d\u0131r. Aral\u0131k tahmininde bir parametre bir g\u00fcven aral\u0131\u011f\u0131na yakla\u015ft\u0131r\u0131l\u0131rken, nokta tahmininde parametre belirli bir de\u011fere yakla\u015ft\u0131r\u0131l\u0131r.<\/p>\n<p> Bu nedenle nokta tahmininde \u00f6rnek verilerden hesaplanan tek bir de\u011fer, pop\u00fclasyon parametre de\u011ferinin yakla\u015f\u0131k de\u011feri olarak kabul edilir. \u00d6rne\u011fin, pop\u00fclasyon ortalamas\u0131, \u00f6rnek ortalamas\u0131 kullan\u0131larak do\u011fru bir \u015fekilde tahmin edilebilir.<\/p>\n<p> Bu nedenle, nokta tahmininin aral\u0131k tahminine g\u00f6re avantajlar\u0131 ve dezavantajlar\u0131 vard\u0131r, \u00f6yle ki her tahmin t\u00fcr\u00fc belirli bir durumda kullan\u0131ma uygundur. Daha fazlas\u0131n\u0131 \u00f6\u011frenmek i\u00e7in a\u015fa\u011f\u0131daki ba\u011flant\u0131ya t\u0131klay\u0131n: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/nokta-tahmini-1\/\">Nokta tahmini nedir?<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede istatistikte aral\u0131k tahmininin ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca aral\u0131k tahmininin nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 ve son olarak aral\u0131k tahmininin nokta tahmininden ne kadar farkl\u0131 oldu\u011funu da \u00f6\u011freneceksiniz. Aral\u0131k tahmini nedir? \u0130statistikte aral\u0131k tahmini , bir pop\u00fclasyon parametresinin de\u011ferinin bir aral\u0131k kullan\u0131larak tahmin edildi\u011fi bir s\u00fcre\u00e7tir. Daha do\u011frusu aral\u0131k tahmini, parametre de\u011ferinin belirli bir g\u00fcven d\u00fczeyiyle bulunma [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-251","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Tahmin aral\u0131\u011f\u0131<\/title>\n<meta name=\"description\" content=\"Burada aral\u0131k tahmininin ne oldu\u011funu, g\u00fcven aral\u0131\u011f\u0131 tahmininin (form\u00fcller) nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 ve ger\u00e7ek d\u00fcnyadan \u00f6rnekleri \u00f6\u011freneceksiniz.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" 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