{"id":250,"date":"2023-08-03T15:17:12","date_gmt":"2023-08-03T15:17:12","guid":{"rendered":"https:\/\/statorials.org\/tr\/guven-araligi\/"},"modified":"2023-08-03T15:17:12","modified_gmt":"2023-08-03T15:17:12","slug":"guven-araligi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/guven-araligi\/","title":{"rendered":"G\u00fcven aral\u0131\u011f\u0131"},"content":{"rendered":"<p>Bu makalede istatistiklerde g\u00fcven aral\u0131\u011f\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca g\u00fcven aral\u0131klar\u0131n\u0131 etkileyen fakt\u00f6rleri ve g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 da bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-un-intervalo-de-confianza\"><\/span> G\u00fcven aral\u0131\u011f\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistiklerde <strong>g\u00fcven aral\u0131\u011f\u0131<\/strong> , bir pop\u00fclasyon parametresinin de\u011ferinin belirli bir g\u00fcven d\u00fczeyine ba\u011fland\u0131\u011f\u0131 de\u011ferlerin yakla\u015f\u0131k de\u011ferini veren bir aral\u0131kt\u0131r. En yayg\u0131n g\u00fcven aral\u0131klar\u0131 %95 veya %99 g\u00fcven d\u00fczeyine sahiptir.<\/p>\n<p> \u00d6rne\u011fin g\u00fcven d\u00fczeyi %95 olan bir pop\u00fclasyonun ortalamas\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131 (3,7) ise bu, incelenen pop\u00fclasyonun ortalamas\u0131n\u0131n %95 olas\u0131l\u0131kla 3 ile 7 aras\u0131nda olaca\u011f\u0131 anlam\u0131na gelir.<\/p>\n<p> Bu nedenle g\u00fcven aral\u0131\u011f\u0131, bir pop\u00fclasyon parametresinin aras\u0131nda yer ald\u0131\u011f\u0131 iki de\u011feri tahmin etmek i\u00e7in kullan\u0131l\u0131r. Genel olarak pop\u00fclasyon parametrelerinin de\u011ferleri bilinmemektedir, bu nedenle pop\u00fclasyon parametrelerinin bir tahminine sahip olmak i\u00e7in bir \u00f6rnekteki verilerden bir g\u00fcven aral\u0131\u011f\u0131 hesaplan\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"factores-que-influyen-en-el-intervalo-de-confianza\"><\/span> G\u00fcven aral\u0131\u011f\u0131n\u0131 etkileyen fakt\u00f6rler<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> G\u00fcven aral\u0131\u011f\u0131n\u0131n tan\u0131m\u0131n\u0131 g\u00f6rd\u00fckten sonra kavram\u0131 daha iyi anlamak i\u00e7in g\u00fcven aral\u0131klar\u0131n\u0131n ba\u011fl\u0131 oldu\u011fu fakt\u00f6rlerin neler oldu\u011funu g\u00f6rece\u011fiz.<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:22px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/strong> : \u0130ncelenen g\u00f6zlemlerin say\u0131s\u0131 g\u00fcven aral\u0131\u011f\u0131n\u0131n kesinli\u011fini etkiler, \u00e7\u00fcnk\u00fc ne kadar \u00e7ok veriye sahip olursak o kadar \u00e7ok de\u011fer tahmin edilebilir. Genel olarak \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc ne kadar b\u00fcy\u00fck olursa g\u00fcven aral\u0131\u011f\u0131n\u0131n geni\u015fli\u011fi de o kadar k\u00fc\u00e7\u00fck olur.<\/span><\/li>\n<li style=\"margin-bottom:22px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Hata marj\u0131<\/strong> : izin verilen hata ne kadar b\u00fcy\u00fck olursa, g\u00fcven aral\u0131\u011f\u0131 da o kadar b\u00fcy\u00fck olur ve dolay\u0131s\u0131yla parametrenin ger\u00e7ek de\u011ferinin g\u00fcven aral\u0131\u011f\u0131 dahilinde olma olas\u0131l\u0131\u011f\u0131 da o kadar artar. Ancak hata pay\u0131 g\u00fcven aral\u0131\u011f\u0131n\u0131n kesinli\u011fini azalt\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:22px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>G\u00fcven d\u00fczeyi<\/strong> : N\u00fcfus istatisti\u011finin tahmininin g\u00fcven aral\u0131\u011f\u0131 i\u00e7inde olma olas\u0131l\u0131\u011f\u0131d\u0131r. Tipik olarak bir aral\u0131\u011f\u0131n g\u00fcven d\u00fczeyi 1-\u03b1 olarak g\u00f6sterilir ve y\u00fczde olarak ifade edilir. Y\u00fcksek bir g\u00fcven d\u00fczeyi, ger\u00e7ek de\u011ferin aral\u0131k s\u0131n\u0131rlar\u0131 aras\u0131nda kalma olas\u0131l\u0131\u011f\u0131n\u0131 art\u0131r\u0131r, ancak ayn\u0131 zamanda aral\u0131\u011f\u0131n geni\u015fli\u011fini de artt\u0131r\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:22px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Tahmin edilen parametre<\/strong> : g\u00fcven aral\u0131\u011f\u0131, yakla\u015f\u0131lacak parametreye ba\u011fl\u0131d\u0131r. Asl\u0131nda g\u00fcven aral\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in kullan\u0131lacak form\u00fcl yakla\u015f\u0131k parametreye ba\u011fl\u0131d\u0131r.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-el-intervalo-de-confianza\"><\/span> G\u00fcven aral\u0131\u011f\u0131 nas\u0131l hesaplan\u0131r<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Her bir g\u00fcven aral\u0131\u011f\u0131 t\u00fcr\u00fcn\u00fc hesaplamak i\u00e7in uygulanacak form\u00fcl a\u015fa\u011f\u0131da sunulmu\u015ftur, \u00e7\u00fcnk\u00fc ortalama, varyans veya oran i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131 belirlemek isteyip istemedi\u011fimize 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\u015fkenin yaz\u0131lmas\u0131 i\u015flemi \u015fu \u015fekilde yap\u0131l\u0131r:<\/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\u0131kla 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\/\">Ortalaman\u0131n g\u00fcven aral\u0131\u011f\u0131n\u0131 hesaplama \u00f6rne\u011fi<\/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\u0131 hesaplama \u00f6rne\u011fi<\/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\u0131 hesaplama \u00f6rne\u011fi<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede istatistiklerde g\u00fcven aral\u0131\u011f\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca g\u00fcven aral\u0131klar\u0131n\u0131 etkileyen fakt\u00f6rleri ve g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 da bulacaks\u0131n\u0131z. G\u00fcven aral\u0131\u011f\u0131 nedir? \u0130statistiklerde g\u00fcven aral\u0131\u011f\u0131 , bir pop\u00fclasyon parametresinin de\u011ferinin belirli bir g\u00fcven d\u00fczeyine ba\u011fland\u0131\u011f\u0131 de\u011ferlerin yakla\u015f\u0131k de\u011ferini veren bir aral\u0131kt\u0131r. En yayg\u0131n g\u00fcven aral\u0131klar\u0131 %95 veya %99 g\u00fcven d\u00fczeyine [&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-250","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 G\u00fcven aral\u0131\u011f\u0131<\/title>\n<meta name=\"description\" content=\"Burada istatistikte g\u00fcven aral\u0131\u011f\u0131n\u0131n ne oldu\u011funu, g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) ve somut \u00f6rnekleri ke\u015ffedeceksiniz.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link 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